Details

Time bar (total: 11.2s)

analyze610.0ms (5.4%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
0%0%99.8%0.2%0%0%0%5
0%0%99.8%0.2%0%0%0%6
0%0%99.8%0.2%0%0%0%7
0%0%99.8%0.2%0%0%0%8
6.3%6.2%93.6%0.2%0%0%0%9
9.4%9.4%90.4%0.2%0%0%0%10
14.1%14%85.8%0.2%0%0%0%11
21.5%21.4%78.4%0.2%0%0%0%12
Compiler

Compiled 14 to 10 computations (28.6% saved)

sample1.9s (17%)

Results
1.4s8256×body256valid
484.0ms2925×body256infinite
Bogosity

preprocess64.0ms (0.6%)

Algorithm
2×egg-herbie
Rules
739×fma-neg_binary64
719×associate-/r*_binary64
708×div-sub_binary64
642×sub-neg_binary64
624×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03091
19691
221491
336491
478191
5177391
6398391
044
144
Stop Event
1×unsound
1×node limit
Calls
Call 1
Inputs
0
1
2
3
Outputs
0
1
0
2
3
Call 2
Inputs
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))
(/.f64 (-.f64 (+.f64 y x) z) (*.f64 t 2))
(/.f64 (-.f64 (+.f64 z y) x) (*.f64 t 2))
(/.f64 (-.f64 (+.f64 t y) z) (*.f64 x 2))
(/.f64 (-.f64 (+.f64 x z) y) (*.f64 t 2))
(/.f64 (-.f64 (+.f64 x t) z) (*.f64 y 2))
(/.f64 (-.f64 (+.f64 x y) t) (*.f64 z 2))
Outputs
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))
(/.f64 (+.f64 x (-.f64 y z)) (*.f64 t 2))
(*.f64 -1/2 (/.f64 (-.f64 (-.f64 z x) y) t))
(/.f64 (-.f64 (+.f64 y x) z) (*.f64 t 2))
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))
(/.f64 (+.f64 x (-.f64 y z)) (*.f64 t 2))
(*.f64 -1/2 (/.f64 (-.f64 (-.f64 z x) y) t))
(/.f64 (-.f64 (+.f64 z y) x) (*.f64 t 2))
(/.f64 (+.f64 z (-.f64 y x)) (*.f64 t 2))
(/.f64 (+.f64 y (-.f64 z x)) (*.f64 t 2))
(*.f64 -1/2 (/.f64 (-.f64 (-.f64 x y) z) t))
(*.f64 -1/2 (/.f64 (-.f64 (-.f64 x z) y) t))
(/.f64 (-.f64 (+.f64 t y) z) (*.f64 x 2))
(/.f64 (+.f64 t (-.f64 y z)) (*.f64 x 2))
(/.f64 (-.f64 y (-.f64 z t)) (*.f64 x 2))
(/.f64 (/.f64 (+.f64 t (-.f64 y z)) x) 2)
(*.f64 -1/2 (/.f64 (-.f64 z (+.f64 y t)) x))
(/.f64 (-.f64 (+.f64 x z) y) (*.f64 t 2))
(/.f64 (+.f64 x (-.f64 z y)) (*.f64 t 2))
(/.f64 (+.f64 z (-.f64 x y)) (*.f64 t 2))
(*.f64 -1/2 (/.f64 (-.f64 (-.f64 y z) x) t))
(/.f64 (/.f64 (-.f64 (+.f64 x z) y) 2) t)
(/.f64 (-.f64 (+.f64 x t) z) (*.f64 y 2))
(/.f64 (+.f64 t (-.f64 x z)) (*.f64 y 2))
(/.f64 (+.f64 x (-.f64 t z)) (*.f64 y 2))
(/.f64 (-.f64 x (-.f64 z t)) (*.f64 y 2))
(*.f64 -1/2 (/.f64 (-.f64 (-.f64 z x) t) y))
(/.f64 (-.f64 (+.f64 x y) t) (*.f64 z 2))
(/.f64 (+.f64 x (-.f64 y t)) (*.f64 z 2))
(*.f64 (/.f64 -1/2 z) (-.f64 t (+.f64 x y)))
Symmetry

(sort x y)

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify228.0ms (2%)

Algorithm
1×egg-herbie
Rules
1491×fma-neg_binary64
579×fma-def_binary64
465×distribute-rgt-in_binary64
416×div-sub_binary64
329×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01013
12113
24513
37413
415513
529913
661113
7131513
8268713
9528913
10601713
11609113
12610313
13610413
14610413
15729613
16746413
17746413
18746413
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))
Outputs
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))
(/.f64 (+.f64 x (-.f64 y z)) (*.f64 t 2))
(/.f64 (/.f64 (+.f64 x (-.f64 y z)) 2) t)
(*.f64 -1/2 (/.f64 (-.f64 (-.f64 z x) y) t))
(*.f64 (-.f64 (-.f64 z x) y) (/.f64 -1/2 t))
(*.f64 (+.f64 x (-.f64 y z)) (/.f64 1/2 t))

eval1.0ms (0%)

Compiler

Compiled 22 to 14 computations (36.4% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.0b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.3b
(*.f64 (+.f64 x (-.f64 y z)) (/.f64 1/2 t))
▶0.0b
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))
Compiler

Compiled 26 to 18 computations (30.8% saved)

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 (+.f64 x (-.f64 y z)) (/.f64 1/2 t))
Compiler

Compiled 29 to 12 computations (58.6% saved)

series10.0ms (0.1%)

Counts
1 → 48
Calls

12 calls:

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

rewrite70.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
981×prod-diff_binary64
556×log-prod_binary64
384×fma-def_binary64
216×expm1-udef_binary64
216×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01013
123013
2333513
Stop Event
1×node limit
Counts
1 → 51
Calls
Call 1
Inputs
(*.f64 (+.f64 x (-.f64 y z)) (/.f64 1/2 t))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 (+.f64 x y) z) (/.f64 1/2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 1/2 t)) (*.f64 (-.f64 y z) (/.f64 1/2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 y z) (/.f64 1/2 t)) (*.f64 x (/.f64 1/2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/2 t) x) (*.f64 (/.f64 1/2 t) (-.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/2 t) (-.f64 y z)) (*.f64 (/.f64 1/2 t) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1/2 t)) (-.f64 (+.f64 x y) z))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1/2 t)) (-.f64 (+.f64 x y) z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1/2 t)) (-.f64 (+.f64 x y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 1/2 t)) (-.f64 (+.f64 x y) z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 1/2 t)) (-.f64 (+.f64 x y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 (+.f64 x y) z) (/.f64 1/2 t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 t (*.f64 (-.f64 (+.f64 x y) z) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 y z) 3)) (*.f64 (*.f64 t 2) (fma.f64 x x (*.f64 (-.f64 y z) (-.f64 (-.f64 y z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 y z) 2)) (*.f64 (*.f64 t 2) (+.f64 (-.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (+.f64 x y) z) 1/2) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 (+.f64 x y) z) 1/2)) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 y z) 3)) 1/2) (*.f64 (fma.f64 x x (*.f64 (-.f64 y z) (-.f64 (-.f64 y z) x))) t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 y z) 2)) 1/2) (*.f64 (+.f64 (-.f64 x y) z) t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 y z) 3)) 1) (*.f64 (fma.f64 x x (*.f64 (-.f64 y z) (-.f64 (-.f64 y z) x))) (*.f64 t 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 y z) 2)) 1) (*.f64 (+.f64 (-.f64 x y) z) (*.f64 t 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 y z) 3)) -1/2) (*.f64 (fma.f64 x x (*.f64 (-.f64 y z) (-.f64 (-.f64 y z) x))) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 y z) 2)) -1/2) (*.f64 (+.f64 (-.f64 x y) z) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 y z) 3))) (*.f64 t (fma.f64 x x (*.f64 (-.f64 y z) (-.f64 (-.f64 y z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 y z) 3))) (*.f64 (neg.f64 t) (fma.f64 x x (*.f64 (-.f64 y z) (-.f64 (-.f64 y z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (-.f64 (*.f64 x x) (pow.f64 (-.f64 y z) 2))) (*.f64 t (+.f64 (-.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (-.f64 (*.f64 x x) (pow.f64 (-.f64 y z) 2))) (*.f64 (neg.f64 t) (+.f64 (-.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 (+.f64 x y) z) 1/2) 1) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 (+.f64 x y) z) 1/2) (cbrt.f64 (*.f64 t t))) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 (+.f64 x y) z) 1/2) (sqrt.f64 t)) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 y z) 3)) (/.f64 1/2 t)) (fma.f64 x x (*.f64 (-.f64 y z) (-.f64 (-.f64 y z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 y z) 2)) (/.f64 1/2 t)) (+.f64 (-.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (-.f64 (+.f64 x y) z)) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (+.f64 x y) z) -1/2) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/2 t) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 y z) 3))) (fma.f64 x x (*.f64 (-.f64 y z) (-.f64 (-.f64 y z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/2 t) (-.f64 (*.f64 x x) (pow.f64 (-.f64 y z) 2))) (+.f64 (-.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 (+.f64 x y) z) (/.f64 1/2 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 (+.f64 x y) z) (/.f64 1/2 t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 (+.f64 x y) z) (/.f64 1/2 t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 (+.f64 x y) z) (/.f64 1/2 t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 (+.f64 x y) z) (/.f64 1/2 t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 1/2 t)) (-.f64 (+.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 (+.f64 x y) z) (/.f64 1/2 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 (+.f64 x y) z) (/.f64 1/2 t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 (+.f64 x y) z) 3) (pow.f64 (/.f64 1/2 t) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1/2 t) 3) (pow.f64 (-.f64 (+.f64 x y) z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 (+.f64 x y) z) (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 (+.f64 x y) z) (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 (+.f64 x y) z) (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (+.f64 x y) z) (/.f64 1/2 t))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1/2 t) (*.f64 (-.f64 y z) (/.f64 1/2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 y z) (/.f64 1/2 t) (*.f64 x (/.f64 1/2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 t) x (*.f64 (/.f64 1/2 t) (-.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 t) (-.f64 y z) (*.f64 (/.f64 1/2 t) x))))))

simplify260.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
1393×fma-def_binary64
572×fma-neg_binary64
465×distribute-rgt-in_binary64
360×unsub-neg_binary64
327×distribute-lft-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
037696
192696
2186696
3323579
4556579
5943579
61759579
73066579
84302579
94860579
105012579
115025579
125026579
135741579
146133579
156301579
166301579
176301579
Stop Event
1×saturated
Counts
99 → 70
Calls
Call 1
Inputs
(*.f64 1/2 (/.f64 (-.f64 y z) t))
(+.f64 (*.f64 1/2 (/.f64 (-.f64 y z) t)) (*.f64 1/2 (/.f64 x t)))
(+.f64 (*.f64 1/2 (/.f64 (-.f64 y z) t)) (*.f64 1/2 (/.f64 x t)))
(+.f64 (*.f64 1/2 (/.f64 (-.f64 y z) t)) (*.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (/.f64 x t))
(+.f64 (*.f64 1/2 (/.f64 x t)) (*.f64 1/2 (-.f64 (/.f64 y t) (/.f64 z t))))
(+.f64 (*.f64 1/2 (/.f64 x t)) (*.f64 1/2 (-.f64 (/.f64 y t) (/.f64 z t))))
(+.f64 (*.f64 1/2 (/.f64 x t)) (*.f64 1/2 (-.f64 (/.f64 y t) (/.f64 z t))))
(*.f64 1/2 (/.f64 x t))
(+.f64 (*.f64 1/2 (/.f64 x t)) (*.f64 1/2 (-.f64 (/.f64 y t) (/.f64 z t))))
(+.f64 (*.f64 1/2 (/.f64 x t)) (*.f64 1/2 (-.f64 (/.f64 y t) (/.f64 z t))))
(+.f64 (*.f64 1/2 (/.f64 x t)) (*.f64 1/2 (-.f64 (/.f64 y t) (/.f64 z t))))
(*.f64 1/2 (/.f64 (-.f64 x z) t))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 (-.f64 x z) t)))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 (-.f64 x z) t)))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 (-.f64 x z) t)))
(*.f64 1/2 (/.f64 y t))
(+.f64 (*.f64 1/2 (-.f64 (/.f64 x t) (/.f64 z t))) (*.f64 1/2 (/.f64 y t)))
(+.f64 (*.f64 1/2 (-.f64 (/.f64 x t) (/.f64 z t))) (*.f64 1/2 (/.f64 y t)))
(+.f64 (*.f64 1/2 (-.f64 (/.f64 x t) (/.f64 z t))) (*.f64 1/2 (/.f64 y t)))
(*.f64 1/2 (/.f64 y t))
(+.f64 (*.f64 1/2 (-.f64 (/.f64 x t) (/.f64 z t))) (*.f64 1/2 (/.f64 y t)))
(+.f64 (*.f64 1/2 (-.f64 (/.f64 x t) (/.f64 z t))) (*.f64 1/2 (/.f64 y t)))
(+.f64 (*.f64 1/2 (-.f64 (/.f64 x t) (/.f64 z t))) (*.f64 1/2 (/.f64 y t)))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 (+.f64 y x) t)))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 (+.f64 y x) t)))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 (+.f64 y x) t)))
(*.f64 -1/2 (/.f64 z t))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))))
(*.f64 -1/2 (/.f64 z t))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))))
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t))
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t))
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t))
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t))
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t))
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t))
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t))
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t))
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t))
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t))
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t))
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t))
Outputs
(*.f64 1/2 (/.f64 (-.f64 y z) t))
(/.f64 (*.f64 1/2 (-.f64 y z)) t)
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(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t)))
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(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t))
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(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t))
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t))
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t))
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t)))
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t))
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t))
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t))
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t)))
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)))
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(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t))

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))
Compiler

Compiled 29 to 12 computations (58.6% saved)

series4.0ms (0%)

Counts
1 → 48
Calls

12 calls:

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

rewrite73.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
634×log-prod_binary64
439×fma-def_binary64
327×pow2_binary64
245×fma-neg_binary64
226×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01013
123213
2363413
Stop Event
1×node limit
Counts
1 → 66
Calls
Call 1
Inputs
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))
Outputs
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x z)) (/.f64 1/2 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 y (-.f64 x z))) 2) (*.f64 (cbrt.f64 (+.f64 y (-.f64 x z))) (/.f64 1/2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t))) 2) (cbrt.f64 (*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 y (-.f64 x z))) (*.f64 (sqrt.f64 (+.f64 y (-.f64 x z))) (/.f64 1/2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t))) (sqrt.f64 (*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 y (-.f64 x z))) (/.f64 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(2) ((x neg.f64 (/.f64 (+.f64 y (-.f64 x z)) (*.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 y (-.f64 x z)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 y (-.f64 x z)) 3) (pow.f64 (+.f64 t t) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x y) (/.f64 1/2 t) (neg.f64 (*.f64 z (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (+.f64 x y) (+.f64 t t)) (neg.f64 (*.f64 z (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (+.f64 t t))) 2) (cbrt.f64 (/.f64 (+.f64 x y) (+.f64 t t))) (neg.f64 (*.f64 z (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (+.f64 x y) (+.f64 t t))) (sqrt.f64 (/.f64 (+.f64 x y) (+.f64 t t))) (neg.f64 (*.f64 z (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (/.f64 (+.f64 x y) t) (neg.f64 (*.f64 z (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 t) (/.f64 (+.f64 x y) 2) (neg.f64 (*.f64 z (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 t t)) 2)) (/.f64 (+.f64 x y) 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(/.f64 1/2 t))))))))

simplify250.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
1393×fma-def_binary64
572×fma-neg_binary64
465×distribute-rgt-in_binary64
360×unsub-neg_binary64
327×distribute-lft-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
037696
192696
2186696
3323579
4556579
5943579
61759579
73066579
84302579
94860579
105012579
115025579
125026579
135741579
146133579
156301579
166301579
176301579
Stop Event
1×saturated
Counts
114 → 84
Calls
Call 1
Inputs
(*.f64 1/2 (/.f64 (-.f64 y z) t))
(+.f64 (*.f64 1/2 (/.f64 (-.f64 y z) t)) (*.f64 1/2 (/.f64 x t)))
(+.f64 (*.f64 1/2 (/.f64 (-.f64 y z) t)) (*.f64 1/2 (/.f64 x t)))
(+.f64 (*.f64 1/2 (/.f64 (-.f64 y z) t)) (*.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (/.f64 x t))
(+.f64 (*.f64 1/2 (/.f64 x t)) (*.f64 1/2 (-.f64 (/.f64 y t) (/.f64 z t))))
(+.f64 (*.f64 1/2 (/.f64 x t)) (*.f64 1/2 (-.f64 (/.f64 y t) (/.f64 z t))))
(+.f64 (*.f64 1/2 (/.f64 x t)) (*.f64 1/2 (-.f64 (/.f64 y t) (/.f64 z t))))
(*.f64 1/2 (/.f64 x t))
(+.f64 (*.f64 1/2 (/.f64 x t)) (*.f64 1/2 (-.f64 (/.f64 y t) (/.f64 z t))))
(+.f64 (*.f64 1/2 (/.f64 x t)) (*.f64 1/2 (-.f64 (/.f64 y t) (/.f64 z t))))
(+.f64 (*.f64 1/2 (/.f64 x t)) (*.f64 1/2 (-.f64 (/.f64 y t) (/.f64 z t))))
(*.f64 1/2 (/.f64 (-.f64 x z) t))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 (-.f64 x z) t)))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 (-.f64 x z) t)))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 (-.f64 x z) t)))
(*.f64 1/2 (/.f64 y t))
(+.f64 (*.f64 1/2 (-.f64 (/.f64 x t) (/.f64 z t))) (*.f64 1/2 (/.f64 y t)))
(+.f64 (*.f64 1/2 (-.f64 (/.f64 x t) (/.f64 z t))) (*.f64 1/2 (/.f64 y t)))
(+.f64 (*.f64 1/2 (-.f64 (/.f64 x t) (/.f64 z t))) (*.f64 1/2 (/.f64 y t)))
(*.f64 1/2 (/.f64 y t))
(+.f64 (*.f64 1/2 (-.f64 (/.f64 x t) (/.f64 z t))) (*.f64 1/2 (/.f64 y t)))
(+.f64 (*.f64 1/2 (-.f64 (/.f64 x t) (/.f64 z t))) (*.f64 1/2 (/.f64 y t)))
(+.f64 (*.f64 1/2 (-.f64 (/.f64 x t) (/.f64 z t))) (*.f64 1/2 (/.f64 y t)))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 (+.f64 y x) t)))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 (+.f64 y x) t)))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 (+.f64 y x) t)))
(*.f64 -1/2 (/.f64 z t))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))))
(*.f64 -1/2 (/.f64 z t))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))))
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t))
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t))
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t))
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t))
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t))
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t))
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t))
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t))
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t))
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t))
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t))
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t))
Outputs
(*.f64 1/2 (/.f64 (-.f64 y z) t))
(/.f64 (*.f64 1/2 (-.f64 y z)) t)
(*.f64 (-.f64 y z) (/.f64 1/2 t))
(+.f64 (*.f64 1/2 (/.f64 (-.f64 y z) t)) (*.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t)))
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t))
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t))
(+.f64 (*.f64 1/2 (/.f64 (-.f64 y z) t)) (*.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t)))
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t))
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t))
(+.f64 (*.f64 1/2 (/.f64 (-.f64 y z) t)) (*.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t)))
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t))
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t))
(*.f64 1/2 (/.f64 x t))
(+.f64 (*.f64 1/2 (/.f64 x t)) (*.f64 1/2 (-.f64 (/.f64 y t) (/.f64 z t))))
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t)))
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t))
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t))
(+.f64 (*.f64 1/2 (/.f64 x t)) (*.f64 1/2 (-.f64 (/.f64 y t) (/.f64 z t))))
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t)))
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t))
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t))
(+.f64 (*.f64 1/2 (/.f64 x t)) (*.f64 1/2 (-.f64 (/.f64 y t) (/.f64 z t))))
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t)))
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t))
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t))
(*.f64 1/2 (/.f64 x t))
(+.f64 (*.f64 1/2 (/.f64 x t)) (*.f64 1/2 (-.f64 (/.f64 y t) (/.f64 z t))))
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t)))
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t))
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t))
(+.f64 (*.f64 1/2 (/.f64 x t)) (*.f64 1/2 (-.f64 (/.f64 y t) (/.f64 z t))))
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t)))
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t))
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t))
(+.f64 (*.f64 1/2 (/.f64 x t)) (*.f64 1/2 (-.f64 (/.f64 y t) (/.f64 z t))))
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t)))
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t))
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t))
(*.f64 1/2 (/.f64 (-.f64 x z) t))
(/.f64 1/2 (/.f64 t (-.f64 x z)))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 (-.f64 x z) t)))
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t)))
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t))
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 (-.f64 x z) t)))
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t)))
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t))
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 (-.f64 x z) t)))
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t)))
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t))
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t))
(*.f64 1/2 (/.f64 y t))
(/.f64 (*.f64 1/2 y) t)
(+.f64 (*.f64 1/2 (-.f64 (/.f64 x t) (/.f64 z t))) (*.f64 1/2 (/.f64 y t)))
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t)))
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t))
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t))
(+.f64 (*.f64 1/2 (-.f64 (/.f64 x t) (/.f64 z t))) (*.f64 1/2 (/.f64 y t)))
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t)))
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t))
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t))
(+.f64 (*.f64 1/2 (-.f64 (/.f64 x t) (/.f64 z t))) (*.f64 1/2 (/.f64 y t)))
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t)))
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t))
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t))
(*.f64 1/2 (/.f64 y t))
(/.f64 (*.f64 1/2 y) t)
(+.f64 (*.f64 1/2 (-.f64 (/.f64 x t) (/.f64 z t))) (*.f64 1/2 (/.f64 y t)))
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t)))
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t))
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t))
(+.f64 (*.f64 1/2 (-.f64 (/.f64 x t) (/.f64 z t))) (*.f64 1/2 (/.f64 y t)))
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t)))
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t))
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t))
(+.f64 (*.f64 1/2 (-.f64 (/.f64 x t) (/.f64 z t))) (*.f64 1/2 (/.f64 y t)))
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t)))
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t))
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 (+.f64 y x) (/.f64 1/2 t))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 (+.f64 y x) t)))
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t)))
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t))
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 (+.f64 y x) t)))
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t)))
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t))
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 (+.f64 y x) t)))
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t)))
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t))
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 (/.f64 z t) -1/2)
(*.f64 z (/.f64 -1/2 t))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))))
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t)))
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t))
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))))
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t)))
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t))
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))))
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t)))
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t))
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 (/.f64 z t) -1/2)
(*.f64 z (/.f64 -1/2 t))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))))
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t)))
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t))
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))))
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t)))
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t))
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))))
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t)))
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t))
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t))
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t))
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t)))
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t))
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t))
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t))
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t)))
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t))
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t))
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t))
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t)))
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t))
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t))
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t))
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t)))
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t))
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t))
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t))
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t)))
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t))
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t))
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t))
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t)))
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t))
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t))
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t))
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t)))
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t))
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t))
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t))
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t)))
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t))
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t))
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t))
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t)))
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t))
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t))
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t))
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t)))
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t))
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t))
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t))
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t)))
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t))
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t))
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t))
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t)))
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t))
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t))

eval40.0ms (0.4%)

Compiler

Compiled 2260 to 923 computations (59.2% saved)

prune32.0ms (0.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1459154
Fresh000
Picked101
Done101
Total1479156
Error
0b
Counts
156 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
22.1b
(*.f64 1/2 (/.f64 (-.f64 x z) t))
▶43.1b
(*.f64 z (/.f64 -1/2 t))
▶21.3b
(*.f64 1/2 (/.f64 (-.f64 y z) t))
▶0.1b
(-.f64 (/.f64 (+.f64 x y) (+.f64 t t)) (*.f64 z (/.f64 1/2 t)))
▶17.6b
(*.f64 1/2 (/.f64 (+.f64 y x) t))
39.2b
(*.f64 1/2 (/.f64 x t))
17.8b
(*.f64 (+.f64 y x) (/.f64 1/2 t))
38.3b
(/.f64 (*.f64 1/2 y) t)
▶43.1b
(*.f64 -1/2 (/.f64 z t))
Compiler

Compiled 194 to 142 computations (26.8% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (+.f64 x y) (+.f64 t t))
✓0.0b
(-.f64 (/.f64 (+.f64 x y) (+.f64 t t)) (*.f64 z (/.f64 1/2 t)))
✓0.2b
(*.f64 z (/.f64 1/2 t))
Compiler

Compiled 43 to 17 computations (60.5% saved)

series19.0ms (0.2%)

Counts
3 → 108
Calls

27 calls:

TimeVariablePointExpression
2.0ms
t
@0
(*.f64 z (/.f64 1/2 t))
2.0ms
z
@-inf
(*.f64 z (/.f64 1/2 t))
1.0ms
t
@0
(-.f64 (/.f64 (+.f64 x y) (+.f64 t t)) (*.f64 z (/.f64 1/2 t)))
1.0ms
t
@inf
(-.f64 (/.f64 (+.f64 x y) (+.f64 t t)) (*.f64 z (/.f64 1/2 t)))
1.0ms
x
@0
(-.f64 (/.f64 (+.f64 x y) (+.f64 t t)) (*.f64 z (/.f64 1/2 t)))

rewrite87.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
645×log-prod_binary64
401×fma-def_binary64
233×fma-neg_binary64
228×expm1-udef_binary64
228×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01236
128534
2464734
Stop Event
1×node limit
Counts
3 → 197
Calls
Call 1
Inputs
(*.f64 z (/.f64 1/2 t))
(-.f64 (/.f64 (+.f64 x y) (+.f64 t t)) (*.f64 z (/.f64 1/2 t)))
(/.f64 (+.f64 x y) (+.f64 t t))
Outputs
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simplify303.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
1349×fma-def_binary64
743×fma-neg_binary64
517×cancel-sign-sub-inv_binary64
426×distribute-rgt-in_binary64
368×distribute-lft-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0331446
11021329
22451329
35211089
413431089
533551089
656791089
759901089
860341089
960361089
1060371089
1167731089
1271651089
1373331089
1473331089
1573331089
1673331089
Stop Event
1×saturated
Counts
305 → 217
Calls
Call 1
Inputs
(*.f64 1/2 (/.f64 z t))
(*.f64 1/2 (/.f64 z t))
(*.f64 1/2 (/.f64 z t))
(*.f64 1/2 (/.f64 z t))
(*.f64 1/2 (/.f64 z t))
(*.f64 1/2 (/.f64 z t))
(*.f64 1/2 (/.f64 z t))
(*.f64 1/2 (/.f64 z t))
(*.f64 1/2 (/.f64 z t))
(*.f64 1/2 (/.f64 z t))
(*.f64 1/2 (/.f64 z t))
(*.f64 1/2 (/.f64 z t))
(*.f64 1/2 (/.f64 z t))
(*.f64 1/2 (/.f64 z t))
(*.f64 1/2 (/.f64 z t))
(*.f64 1/2 (/.f64 z t))
(*.f64 1/2 (/.f64 z t))
(*.f64 1/2 (/.f64 z t))
(*.f64 1/2 (/.f64 z t))
(*.f64 1/2 (/.f64 z t))
(*.f64 1/2 (/.f64 z t))
(*.f64 1/2 (/.f64 z t))
(*.f64 1/2 (/.f64 z t))
(*.f64 1/2 (/.f64 z t))
(-.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 z t)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) (*.f64 1/2 (/.f64 z t)))
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localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 -1/2 (/.f64 z t))
Compiler

Compiled 15 to 8 computations (46.7% saved)

series2.0ms (0%)

Counts
1 → 0
Calls

6 calls:

TimeVariablePointExpression
1.0ms
z
@0
(*.f64 -1/2 (/.f64 z t))
0.0ms
t
@0
(*.f64 -1/2 (/.f64 z t))
0.0ms
z
@inf
(*.f64 -1/2 (/.f64 z t))
0.0ms
z
@-inf
(*.f64 -1/2 (/.f64 z t))
0.0ms
t
@inf
(*.f64 -1/2 (/.f64 z t))

rewrite49.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
653×pow1_binary64
606×add-log-exp_binary64
606×log1p-expm1-u_binary64
606×expm1-log1p-u_binary64
594×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11277
216107
Stop Event
1×node limit
Counts
1 → 20
Calls
Call 1
Inputs
(*.f64 -1/2 (/.f64 z t))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/2 (/.f64 z t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (/.f64 t z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 t (*.f64 -1/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 z) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -1/2 z)) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 z) 1) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 z) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 z) (sqrt.f64 t)) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 z) -1/2) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (neg.f64 z)) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/2 (/.f64 z t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/2 (/.f64 z t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 z t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 z t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 z t) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/2) (/.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/2 (/.f64 z t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/2 (/.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/2 (/.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/2 (/.f64 z t))))))))

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
20 → 20
Calls
Call 1
Inputs
Outputs

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 z (/.f64 -1/2 t))
Compiler

Compiled 15 to 10 computations (33.3% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
z
@0
(*.f64 z (/.f64 -1/2 t))
0.0ms
z
@-inf
(*.f64 z (/.f64 -1/2 t))
0.0ms
z
@inf
(*.f64 z (/.f64 -1/2 t))
0.0ms
t
@0
(*.f64 z (/.f64 -1/2 t))
0.0ms
t
@inf
(*.f64 z (/.f64 -1/2 t))

rewrite51.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
614×pow1_binary64
571×add-log-exp_binary64
570×log1p-expm1-u_binary64
570×expm1-log1p-u_binary64
560×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11287
215567
Stop Event
1×node limit
Counts
1 → 20
Calls
Call 1
Inputs
(*.f64 z (/.f64 -1/2 t))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 z (/.f64 -1/2 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (*.f64 t -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 t (*.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z -1/2) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 z -1/2)) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z -1/2) 1) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z -1/2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z -1/2) (sqrt.f64 t)) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 z) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z 1/2) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (/.f64 -1/2 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (/.f64 -1/2 t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (/.f64 -1/2 t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (/.f64 -1/2 t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (/.f64 -1/2 t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (/.f64 -1/2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (/.f64 -1/2 t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (/.f64 -1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (/.f64 -1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (/.f64 -1/2 t))))))))

simplify12.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
3×*-commutative_binary64
2×associate-/l*_binary64
1×associate-*r/_binary64
1×associate-*l/_binary64
1×associate-/r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06168
19168
213168
317168
418168
Stop Event
1×saturated
Counts
44 → 21
Calls
Call 1
Inputs
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
Outputs
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 23 to 9 computations (60.9% saved)

series5.0ms (0%)

Counts
2 → 48
Calls

18 calls:

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

rewrite61.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
595×unpow-prod-down_binary64
473×prod-diff_binary64
443×log-prod_binary64
259×pow-prod-down_binary64
240×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
117717
2247817
Stop Event
1×node limit
Counts
2 → 100
Calls
Call 1
Inputs
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(/.f64 (+.f64 y x) t)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/2 (/.f64 (+.f64 y x) t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 y x) t)))) 2)) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 y x) t))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 y x) t))))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 y x) t))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (/.f64 (+.f64 y x) t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 t (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 t (*.f64 1/2 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (+.f64 y x)) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/2 (+.f64 y x))) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 (+.f64 y x)) 1) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 (+.f64 y x)) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 (+.f64 y x)) (sqrt.f64 t)) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 y x)) 1/2) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (neg.f64 (+.f64 y x))) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (/.f64 (+.f64 y x) t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/4 (pow.f64 (/.f64 (+.f64 y x) t) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/8 (pow.f64 (/.f64 (+.f64 y x) t) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (+.f64 y x) t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (+.f64 y x) t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 t (*.f64 1/2 (+.f64 y x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/4 (pow.f64 (/.f64 (+.f64 y x) t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 y x) t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 (+.f64 y x) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/8 (pow.f64 (/.f64 (+.f64 y x) t) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 (+.f64 y x) t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 (+.f64 y x) t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/2 (/.f64 (+.f64 y x) t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/2 (/.f64 (+.f64 y x) t))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/8 (pow.f64 (/.f64 (+.f64 y x) t) 3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (+.f64 y x) t)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (+.f64 y x) t)))) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (/.f64 (+.f64 y x) t)) (*.f64 1/2 (/.f64 (+.f64 y x) t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 y x) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 y x) t))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 y x) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 y x) t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y x) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 y x) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 y x) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (*.f64 (cbrt.f64 (+.f64 y x)) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 y x) t)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) t)) 2) (cbrt.f64 (/.f64 (+.f64 y x) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 y x)) (*.f64 (sqrt.f64 (+.f64 y x)) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 y x) t)) (sqrt.f64 (/.f64 (+.f64 y x) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 y x)) (/.f64 1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 y x)) (pow.f64 (/.f64 1 (neg.f64 t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (+.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (pow.f64 (/.f64 1 (+.f64 y x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 y x)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 y x)) 1) (/.f64 (sqrt.f64 (+.f64 y x)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 t) -2) (/.f64 (+.f64 y x) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 (+.f64 y x) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 y x)) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (+.f64 y x)) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 t -1/2) (/.f64 (+.f64 y x) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (+.f64 y x)) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 (+.f64 y x) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 y x)) t) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 y x)) 1) 1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 y x)) t) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 t) -2) 1) (pow.f64 (/.f64 (+.f64 y x) (cbrt.f64 t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (pow.f64 (cbrt.f64 t) 2)) 1) (cbrt.f64 (/.f64 (+.f64 y x) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 y x)) (pow.f64 (cbrt.f64 t) 2)) 1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 y x)) (cbrt.f64 t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 t -1/2) 1) (pow.f64 (/.f64 (+.f64 y x) (sqrt.f64 t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (sqrt.f64 t)) 1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 y x)) (sqrt.f64 t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 y x) t) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 y x) t) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (+.f64 y x) t) 2) (+.f64 y x)) 1/3) (cbrt.f64 (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 y x) t) (cbrt.f64 (/.f64 (+.f64 y x) t))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 y x) t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 y x) t) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 y x) t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 y x) t))) 2) 3) (cbrt.f64 (/.f64 (+.f64 y x) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 y x) t))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 y x) t))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 t (+.f64 y x))) 2) -1) (cbrt.f64 (/.f64 (+.f64 y x) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 t) (+.f64 y x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 t) 1) -1) (pow.f64 (/.f64 (sqrt.f64 t) (+.f64 y x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) -2) -1) (pow.f64 (/.f64 t (cbrt.f64 (+.f64 y x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 t) (cbrt.f64 (+.f64 y x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 t) (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 t) (cbrt.f64 (+.f64 y x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 y x) -1/2) -1) (pow.f64 (/.f64 t (sqrt.f64 (+.f64 y x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) (sqrt.f64 (+.f64 y x))) -1) (pow.f64 (/.f64 (cbrt.f64 t) (sqrt.f64 (+.f64 y x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 y x))) -1) (pow.f64 (/.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 y x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 t (+.f64 (pow.f64 y 3) (pow.f64 x 3))) -1) (/.f64 1 (fma.f64 x (-.f64 x y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 t (-.f64 (*.f64 y y) (*.f64 x x))) -1) (/.f64 1 (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 y x) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 y x) t) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 y x) t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 y x) t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 t (+.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 t 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 t (+.f64 y x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 y x) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 y x) t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 y x) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 y x) t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 y x) t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 y x) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 y x) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 y x) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y x) t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (+.f64 y x) t) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 y x) t))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 y x) t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 t (+.f64 y x))) -1))))))

simplify28.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
12×fma-def_binary64
11×*-commutative_binary64
6×associate-/l*_binary64
4×associate-*l/_binary64
3×+-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
011480
121480
233480
339426
447426
555426
661426
766426
868426
969426
Stop Event
1×saturated
Counts
148 → 110
Calls
Call 1
Inputs
(*.f64 1/2 (/.f64 x t))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (/.f64 y t))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (/.f64 y t))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (/.f64 y t))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (/.f64 x t))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (/.f64 x t))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(/.f64 x t)
(+.f64 (/.f64 y t) (/.f64 x t))
(+.f64 (/.f64 y t) (/.f64 x t))
(+.f64 (/.f64 y t) (/.f64 x t))
(/.f64 y t)
(+.f64 (/.f64 y t) (/.f64 x t))
(+.f64 (/.f64 y t) (/.f64 x t))
(+.f64 (/.f64 y t) (/.f64 x t))
(/.f64 y t)
(+.f64 (/.f64 y t) (/.f64 x t))
(+.f64 (/.f64 y t) (/.f64 x t))
(+.f64 (/.f64 y t) (/.f64 x t))
(/.f64 y t)
(+.f64 (/.f64 y t) (/.f64 x t))
(+.f64 (/.f64 y t) (/.f64 x t))
(+.f64 (/.f64 y t) (/.f64 x t))
(/.f64 x t)
(+.f64 (/.f64 y t) (/.f64 x t))
(+.f64 (/.f64 y t) (/.f64 x t))
(+.f64 (/.f64 y t) (/.f64 x t))
(/.f64 x t)
(+.f64 (/.f64 y t) (/.f64 x t))
(+.f64 (/.f64 y t) (/.f64 x t))
(+.f64 (/.f64 y t) (/.f64 x t))
Outputs
(*.f64 1/2 (/.f64 x t))
(/.f64 (*.f64 1/2 x) t)
(*.f64 (/.f64 1/2 t) x)
(*.f64 x (/.f64 1/2 t))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t)))
(*.f64 (/.f64 1/2 t) (+.f64 x y))
(*.f64 1/2 (/.f64 (+.f64 x y) t))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t)))
(*.f64 (/.f64 1/2 t) (+.f64 x y))
(*.f64 1/2 (/.f64 (+.f64 x y) t))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t)))
(*.f64 (/.f64 1/2 t) (+.f64 x y))
(*.f64 1/2 (/.f64 (+.f64 x y) t))
(*.f64 1/2 (/.f64 y t))
(/.f64 1/2 (/.f64 t y))
(*.f64 (/.f64 1/2 t) y)
(*.f64 y (/.f64 1/2 t))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t)))
(*.f64 (/.f64 1/2 t) (+.f64 x y))
(*.f64 1/2 (/.f64 (+.f64 x y) t))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t)))
(*.f64 (/.f64 1/2 t) (+.f64 x y))
(*.f64 1/2 (/.f64 (+.f64 x y) t))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t)))
(*.f64 (/.f64 1/2 t) (+.f64 x y))
(*.f64 1/2 (/.f64 (+.f64 x y) t))
(*.f64 1/2 (/.f64 y t))
(/.f64 1/2 (/.f64 t y))
(*.f64 (/.f64 1/2 t) y)
(*.f64 y (/.f64 1/2 t))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t)))
(*.f64 (/.f64 1/2 t) (+.f64 x y))
(*.f64 1/2 (/.f64 (+.f64 x y) t))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t)))
(*.f64 (/.f64 1/2 t) (+.f64 x y))
(*.f64 1/2 (/.f64 (+.f64 x y) t))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t)))
(*.f64 (/.f64 1/2 t) (+.f64 x y))
(*.f64 1/2 (/.f64 (+.f64 x y) t))
(*.f64 1/2 (/.f64 y t))
(/.f64 1/2 (/.f64 t y))
(*.f64 (/.f64 1/2 t) y)
(*.f64 y (/.f64 1/2 t))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t)))
(*.f64 (/.f64 1/2 t) (+.f64 x y))
(*.f64 1/2 (/.f64 (+.f64 x y) t))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t)))
(*.f64 (/.f64 1/2 t) (+.f64 x y))
(*.f64 1/2 (/.f64 (+.f64 x y) t))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t)))
(*.f64 (/.f64 1/2 t) (+.f64 x y))
(*.f64 1/2 (/.f64 (+.f64 x y) t))
(*.f64 1/2 (/.f64 x t))
(/.f64 (*.f64 1/2 x) t)
(*.f64 (/.f64 1/2 t) x)
(*.f64 x (/.f64 1/2 t))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t)))
(*.f64 (/.f64 1/2 t) (+.f64 x y))
(*.f64 1/2 (/.f64 (+.f64 x y) t))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t)))
(*.f64 (/.f64 1/2 t) (+.f64 x y))
(*.f64 1/2 (/.f64 (+.f64 x y) t))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t)))
(*.f64 (/.f64 1/2 t) (+.f64 x y))
(*.f64 1/2 (/.f64 (+.f64 x y) t))
(*.f64 1/2 (/.f64 x t))
(/.f64 (*.f64 1/2 x) t)
(*.f64 (/.f64 1/2 t) x)
(*.f64 x (/.f64 1/2 t))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t)))
(*.f64 (/.f64 1/2 t) (+.f64 x y))
(*.f64 1/2 (/.f64 (+.f64 x y) t))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t)))
(*.f64 (/.f64 1/2 t) (+.f64 x y))
(*.f64 1/2 (/.f64 (+.f64 x y) t))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t)))
(*.f64 (/.f64 1/2 t) (+.f64 x y))
(*.f64 1/2 (/.f64 (+.f64 x y) t))
(/.f64 x t)
(+.f64 (/.f64 y t) (/.f64 x t))
(+.f64 (/.f64 x t) (/.f64 y t))
(+.f64 (/.f64 y t) (/.f64 x t))
(+.f64 (/.f64 x t) (/.f64 y t))
(+.f64 (/.f64 y t) (/.f64 x t))
(+.f64 (/.f64 x t) (/.f64 y t))
(/.f64 y t)
(+.f64 (/.f64 y t) (/.f64 x t))
(+.f64 (/.f64 x t) (/.f64 y t))
(+.f64 (/.f64 y t) (/.f64 x t))
(+.f64 (/.f64 x t) (/.f64 y t))
(+.f64 (/.f64 y t) (/.f64 x t))
(+.f64 (/.f64 x t) (/.f64 y t))
(/.f64 y t)
(+.f64 (/.f64 y t) (/.f64 x t))
(+.f64 (/.f64 x t) (/.f64 y t))
(+.f64 (/.f64 y t) (/.f64 x t))
(+.f64 (/.f64 x t) (/.f64 y t))
(+.f64 (/.f64 y t) (/.f64 x t))
(+.f64 (/.f64 x t) (/.f64 y t))
(/.f64 y t)
(+.f64 (/.f64 y t) (/.f64 x t))
(+.f64 (/.f64 x t) (/.f64 y t))
(+.f64 (/.f64 y t) (/.f64 x t))
(+.f64 (/.f64 x t) (/.f64 y t))
(+.f64 (/.f64 y t) (/.f64 x t))
(+.f64 (/.f64 x t) (/.f64 y t))
(/.f64 x t)
(+.f64 (/.f64 y t) (/.f64 x t))
(+.f64 (/.f64 x t) (/.f64 y t))
(+.f64 (/.f64 y t) (/.f64 x t))
(+.f64 (/.f64 x t) (/.f64 y t))
(+.f64 (/.f64 y t) (/.f64 x t))
(+.f64 (/.f64 x t) (/.f64 y t))
(/.f64 x t)
(+.f64 (/.f64 y t) (/.f64 x t))
(+.f64 (/.f64 x t) (/.f64 y t))
(+.f64 (/.f64 y t) (/.f64 x t))
(+.f64 (/.f64 x t) (/.f64 y t))
(+.f64 (/.f64 y t) (/.f64 x t))
(+.f64 (/.f64 x t) (/.f64 y t))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 1/2 (/.f64 (-.f64 y z) t))
✓0.0b
(/.f64 (-.f64 y z) t)
Compiler

Compiled 23 to 9 computations (60.9% saved)

series12.0ms (0.1%)

Counts
2 → 48
Calls

18 calls:

TimeVariablePointExpression
4.0ms
t
@0
(/.f64 (-.f64 y z) t)
1.0ms
y
@0
(/.f64 (-.f64 y z) t)
1.0ms
t
@inf
(/.f64 (-.f64 y z) t)
1.0ms
y
@-inf
(/.f64 (-.f64 y z) t)
1.0ms
t
@-inf
(/.f64 (-.f64 y z) t)

rewrite103.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
541×prod-diff_binary64
475×log-prod_binary64
369×exp-prod_binary64
271×pow-prod-down_binary64
251×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
118117
2262117
Stop Event
1×node limit
Counts
2 → 217
Calls
Call 1
Inputs
(/.f64 (-.f64 y z) t)
(*.f64 1/2 (/.f64 (-.f64 y z) t))
Outputs
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simplify91.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
588×fma-def_binary64
455×fma-neg_binary64
146×cancel-sign-sub-inv_binary64
127×distribute-rgt-in_binary64
103×associate-*l*_binary64
Iterations

Useful iterations: 10 (0.0ms)

IterNodesCost
014540
127504
247504
365504
482504
5112504
6170504
7242486
8394486
9716432
101382378
112304378
122647378
132902378
142906378
152906378
Stop Event
1×saturated
Counts
265 → 228
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 z t))
(+.f64 (/.f64 y t) (*.f64 -1 (/.f64 z t)))
(+.f64 (/.f64 y t) (*.f64 -1 (/.f64 z t)))
(+.f64 (/.f64 y t) (*.f64 -1 (/.f64 z t)))
(/.f64 y t)
(+.f64 (/.f64 y t) (*.f64 -1 (/.f64 z t)))
(+.f64 (/.f64 y t) (*.f64 -1 (/.f64 z t)))
(+.f64 (/.f64 y t) (*.f64 -1 (/.f64 z t)))
(/.f64 y t)
(+.f64 (/.f64 y t) (*.f64 -1 (/.f64 z t)))
(+.f64 (/.f64 y t) (*.f64 -1 (/.f64 z t)))
(+.f64 (/.f64 y t) (*.f64 -1 (/.f64 z t)))
(/.f64 y t)
(+.f64 (/.f64 y t) (*.f64 -1 (/.f64 z t)))
(+.f64 (/.f64 y t) (*.f64 -1 (/.f64 z t)))
(+.f64 (/.f64 y t) (*.f64 -1 (/.f64 z t)))
(*.f64 -1 (/.f64 z t))
(+.f64 (/.f64 y t) (*.f64 -1 (/.f64 z t)))
(+.f64 (/.f64 y t) (*.f64 -1 (/.f64 z t)))
(+.f64 (/.f64 y t) (*.f64 -1 (/.f64 z t)))
(*.f64 -1 (/.f64 z t))
(+.f64 (/.f64 y t) (*.f64 -1 (/.f64 z t)))
(+.f64 (/.f64 y t) (*.f64 -1 (/.f64 z t)))
(+.f64 (/.f64 y t) (*.f64 -1 (/.f64 z t)))
(*.f64 -1/2 (/.f64 z t))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t)))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t)))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t)))
(*.f64 1/2 (/.f64 y t))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t)))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t)))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t)))
(*.f64 1/2 (/.f64 y t))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t)))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t)))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t)))
(*.f64 1/2 (/.f64 y t))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t)))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t)))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t)))
(*.f64 -1/2 (/.f64 z t))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t)))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t)))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t)))
(*.f64 -1/2 (/.f64 z t))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t)))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t)))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t)))
Outputs
(*.f64 -1 (/.f64 z t))
(neg.f64 (/.f64 z t))
(/.f64 (neg.f64 z) t)
(+.f64 (/.f64 y t) (*.f64 -1 (/.f64 z t)))
(+.f64 (neg.f64 (/.f64 z t)) (/.f64 y t))
(-.f64 (/.f64 y t) (/.f64 z t))
(/.f64 (-.f64 y z) t)
(+.f64 (/.f64 y t) (*.f64 -1 (/.f64 z t)))
(+.f64 (neg.f64 (/.f64 z t)) (/.f64 y t))
(-.f64 (/.f64 y t) (/.f64 z t))
(/.f64 (-.f64 y z) t)
(+.f64 (/.f64 y t) (*.f64 -1 (/.f64 z t)))
(+.f64 (neg.f64 (/.f64 z t)) (/.f64 y t))
(-.f64 (/.f64 y t) (/.f64 z t))
(/.f64 (-.f64 y z) t)
(/.f64 y t)
(+.f64 (/.f64 y t) (*.f64 -1 (/.f64 z t)))
(+.f64 (neg.f64 (/.f64 z t)) (/.f64 y t))
(-.f64 (/.f64 y t) (/.f64 z t))
(/.f64 (-.f64 y z) t)
(+.f64 (/.f64 y t) (*.f64 -1 (/.f64 z t)))
(+.f64 (neg.f64 (/.f64 z t)) (/.f64 y t))
(-.f64 (/.f64 y t) (/.f64 z t))
(/.f64 (-.f64 y z) t)
(+.f64 (/.f64 y t) (*.f64 -1 (/.f64 z t)))
(+.f64 (neg.f64 (/.f64 z t)) (/.f64 y t))
(-.f64 (/.f64 y t) (/.f64 z t))
(/.f64 (-.f64 y z) t)
(/.f64 y t)
(+.f64 (/.f64 y t) (*.f64 -1 (/.f64 z t)))
(+.f64 (neg.f64 (/.f64 z t)) (/.f64 y t))
(-.f64 (/.f64 y t) (/.f64 z t))
(/.f64 (-.f64 y z) t)
(+.f64 (/.f64 y t) (*.f64 -1 (/.f64 z t)))
(+.f64 (neg.f64 (/.f64 z t)) (/.f64 y t))
(-.f64 (/.f64 y t) (/.f64 z t))
(/.f64 (-.f64 y z) t)
(+.f64 (/.f64 y t) (*.f64 -1 (/.f64 z t)))
(+.f64 (neg.f64 (/.f64 z t)) (/.f64 y t))
(-.f64 (/.f64 y t) (/.f64 z t))
(/.f64 (-.f64 y z) t)
(/.f64 y t)
(+.f64 (/.f64 y t) (*.f64 -1 (/.f64 z t)))
(+.f64 (neg.f64 (/.f64 z t)) (/.f64 y t))
(-.f64 (/.f64 y t) (/.f64 z t))
(/.f64 (-.f64 y z) t)
(+.f64 (/.f64 y t) (*.f64 -1 (/.f64 z t)))
(+.f64 (neg.f64 (/.f64 z t)) (/.f64 y t))
(-.f64 (/.f64 y t) (/.f64 z t))
(/.f64 (-.f64 y z) t)
(+.f64 (/.f64 y t) (*.f64 -1 (/.f64 z t)))
(+.f64 (neg.f64 (/.f64 z t)) (/.f64 y t))
(-.f64 (/.f64 y t) (/.f64 z t))
(/.f64 (-.f64 y z) t)
(*.f64 -1 (/.f64 z t))
(neg.f64 (/.f64 z t))
(/.f64 (neg.f64 z) t)
(+.f64 (/.f64 y t) (*.f64 -1 (/.f64 z t)))
(+.f64 (neg.f64 (/.f64 z t)) (/.f64 y t))
(-.f64 (/.f64 y t) (/.f64 z t))
(/.f64 (-.f64 y z) t)
(+.f64 (/.f64 y t) (*.f64 -1 (/.f64 z t)))
(+.f64 (neg.f64 (/.f64 z t)) (/.f64 y t))
(-.f64 (/.f64 y t) (/.f64 z t))
(/.f64 (-.f64 y z) t)
(+.f64 (/.f64 y t) (*.f64 -1 (/.f64 z t)))
(+.f64 (neg.f64 (/.f64 z t)) (/.f64 y t))
(-.f64 (/.f64 y t) (/.f64 z t))
(/.f64 (-.f64 y z) t)
(*.f64 -1 (/.f64 z t))
(neg.f64 (/.f64 z t))
(/.f64 (neg.f64 z) t)
(+.f64 (/.f64 y t) (*.f64 -1 (/.f64 z t)))
(+.f64 (neg.f64 (/.f64 z t)) (/.f64 y t))
(-.f64 (/.f64 y t) (/.f64 z t))
(/.f64 (-.f64 y z) t)
(+.f64 (/.f64 y t) (*.f64 -1 (/.f64 z t)))
(+.f64 (neg.f64 (/.f64 z t)) (/.f64 y t))
(-.f64 (/.f64 y t) (/.f64 z t))
(/.f64 (-.f64 y z) t)
(+.f64 (/.f64 y t) (*.f64 -1 (/.f64 z t)))
(+.f64 (neg.f64 (/.f64 z t)) (/.f64 y t))
(-.f64 (/.f64 y t) (/.f64 z t))
(/.f64 (-.f64 y z) t)
(*.f64 -1/2 (/.f64 z t))
(/.f64 (*.f64 -1/2 z) t)
(/.f64 -1/2 (/.f64 t z))
(*.f64 (/.f64 z t) -1/2)
(*.f64 z (/.f64 -1/2 t))
(/.f64 (*.f64 z -1/2) t)
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t)))
(fma.f64 -1/2 (/.f64 z t) (*.f64 (/.f64 y t) 1/2))
(fma.f64 (/.f64 z t) -1/2 (*.f64 (/.f64 y t) 1/2))
(fma.f64 z (/.f64 -1/2 t) (*.f64 (/.f64 y t) 1/2))
(*.f64 -1/2 (-.f64 (/.f64 z t) (/.f64 y t)))
(*.f64 (/.f64 1/2 t) (-.f64 y z))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t)))
(fma.f64 -1/2 (/.f64 z t) (*.f64 (/.f64 y t) 1/2))
(fma.f64 (/.f64 z t) -1/2 (*.f64 (/.f64 y t) 1/2))
(fma.f64 z (/.f64 -1/2 t) (*.f64 (/.f64 y t) 1/2))
(*.f64 -1/2 (-.f64 (/.f64 z t) (/.f64 y t)))
(*.f64 (/.f64 1/2 t) (-.f64 y z))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t)))
(fma.f64 -1/2 (/.f64 z t) (*.f64 (/.f64 y t) 1/2))
(fma.f64 (/.f64 z t) -1/2 (*.f64 (/.f64 y t) 1/2))
(fma.f64 z (/.f64 -1/2 t) (*.f64 (/.f64 y t) 1/2))
(*.f64 -1/2 (-.f64 (/.f64 z t) (/.f64 y t)))
(*.f64 (/.f64 1/2 t) (-.f64 y z))
(*.f64 1/2 (/.f64 y t))
(*.f64 (/.f64 y t) 1/2)
(*.f64 y (/.f64 1/2 t))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t)))
(fma.f64 -1/2 (/.f64 z t) (*.f64 (/.f64 y t) 1/2))
(fma.f64 (/.f64 z t) -1/2 (*.f64 (/.f64 y t) 1/2))
(fma.f64 z (/.f64 -1/2 t) (*.f64 (/.f64 y t) 1/2))
(*.f64 -1/2 (-.f64 (/.f64 z t) (/.f64 y t)))
(*.f64 (/.f64 1/2 t) (-.f64 y z))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t)))
(fma.f64 -1/2 (/.f64 z t) (*.f64 (/.f64 y t) 1/2))
(fma.f64 (/.f64 z t) -1/2 (*.f64 (/.f64 y t) 1/2))
(fma.f64 z (/.f64 -1/2 t) (*.f64 (/.f64 y t) 1/2))
(*.f64 -1/2 (-.f64 (/.f64 z t) (/.f64 y t)))
(*.f64 (/.f64 1/2 t) (-.f64 y z))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t)))
(fma.f64 -1/2 (/.f64 z t) (*.f64 (/.f64 y t) 1/2))
(fma.f64 (/.f64 z t) -1/2 (*.f64 (/.f64 y t) 1/2))
(fma.f64 z (/.f64 -1/2 t) (*.f64 (/.f64 y t) 1/2))
(*.f64 -1/2 (-.f64 (/.f64 z t) (/.f64 y t)))
(*.f64 (/.f64 1/2 t) (-.f64 y z))
(*.f64 1/2 (/.f64 y t))
(*.f64 (/.f64 y t) 1/2)
(*.f64 y (/.f64 1/2 t))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t)))
(fma.f64 -1/2 (/.f64 z t) (*.f64 (/.f64 y t) 1/2))
(fma.f64 (/.f64 z t) -1/2 (*.f64 (/.f64 y t) 1/2))
(fma.f64 z (/.f64 -1/2 t) (*.f64 (/.f64 y t) 1/2))
(*.f64 -1/2 (-.f64 (/.f64 z t) (/.f64 y t)))
(*.f64 (/.f64 1/2 t) (-.f64 y z))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t)))
(fma.f64 -1/2 (/.f64 z t) (*.f64 (/.f64 y t) 1/2))
(fma.f64 (/.f64 z t) -1/2 (*.f64 (/.f64 y t) 1/2))
(fma.f64 z (/.f64 -1/2 t) (*.f64 (/.f64 y t) 1/2))
(*.f64 -1/2 (-.f64 (/.f64 z t) (/.f64 y t)))
(*.f64 (/.f64 1/2 t) (-.f64 y z))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t)))
(fma.f64 -1/2 (/.f64 z t) (*.f64 (/.f64 y t) 1/2))
(fma.f64 (/.f64 z t) -1/2 (*.f64 (/.f64 y t) 1/2))
(fma.f64 z (/.f64 -1/2 t) (*.f64 (/.f64 y t) 1/2))
(*.f64 -1/2 (-.f64 (/.f64 z t) (/.f64 y t)))
(*.f64 (/.f64 1/2 t) (-.f64 y z))
(*.f64 1/2 (/.f64 y t))
(*.f64 (/.f64 y t) 1/2)
(*.f64 y (/.f64 1/2 t))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t)))
(fma.f64 -1/2 (/.f64 z t) (*.f64 (/.f64 y t) 1/2))
(fma.f64 (/.f64 z t) -1/2 (*.f64 (/.f64 y t) 1/2))
(fma.f64 z (/.f64 -1/2 t) (*.f64 (/.f64 y t) 1/2))
(*.f64 -1/2 (-.f64 (/.f64 z t) (/.f64 y t)))
(*.f64 (/.f64 1/2 t) (-.f64 y z))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t)))
(fma.f64 -1/2 (/.f64 z t) (*.f64 (/.f64 y t) 1/2))
(fma.f64 (/.f64 z t) -1/2 (*.f64 (/.f64 y t) 1/2))
(fma.f64 z (/.f64 -1/2 t) (*.f64 (/.f64 y t) 1/2))
(*.f64 -1/2 (-.f64 (/.f64 z t) (/.f64 y t)))
(*.f64 (/.f64 1/2 t) (-.f64 y z))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t)))
(fma.f64 -1/2 (/.f64 z t) (*.f64 (/.f64 y t) 1/2))
(fma.f64 (/.f64 z t) -1/2 (*.f64 (/.f64 y t) 1/2))
(fma.f64 z (/.f64 -1/2 t) (*.f64 (/.f64 y t) 1/2))
(*.f64 -1/2 (-.f64 (/.f64 z t) (/.f64 y t)))
(*.f64 (/.f64 1/2 t) (-.f64 y z))
(*.f64 -1/2 (/.f64 z t))
(/.f64 (*.f64 -1/2 z) t)
(/.f64 -1/2 (/.f64 t z))
(*.f64 (/.f64 z t) -1/2)
(*.f64 z (/.f64 -1/2 t))
(/.f64 (*.f64 z -1/2) t)
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t)))
(fma.f64 -1/2 (/.f64 z t) (*.f64 (/.f64 y t) 1/2))
(fma.f64 (/.f64 z t) -1/2 (*.f64 (/.f64 y t) 1/2))
(fma.f64 z (/.f64 -1/2 t) (*.f64 (/.f64 y t) 1/2))
(*.f64 -1/2 (-.f64 (/.f64 z t) (/.f64 y t)))
(*.f64 (/.f64 1/2 t) (-.f64 y z))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t)))
(fma.f64 -1/2 (/.f64 z t) (*.f64 (/.f64 y t) 1/2))
(fma.f64 (/.f64 z t) -1/2 (*.f64 (/.f64 y t) 1/2))
(fma.f64 z (/.f64 -1/2 t) (*.f64 (/.f64 y t) 1/2))
(*.f64 -1/2 (-.f64 (/.f64 z t) (/.f64 y t)))
(*.f64 (/.f64 1/2 t) (-.f64 y z))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t)))
(fma.f64 -1/2 (/.f64 z t) (*.f64 (/.f64 y t) 1/2))
(fma.f64 (/.f64 z t) -1/2 (*.f64 (/.f64 y t) 1/2))
(fma.f64 z (/.f64 -1/2 t) (*.f64 (/.f64 y t) 1/2))
(*.f64 -1/2 (-.f64 (/.f64 z t) (/.f64 y t)))
(*.f64 (/.f64 1/2 t) (-.f64 y z))
(*.f64 -1/2 (/.f64 z t))
(/.f64 (*.f64 -1/2 z) t)
(/.f64 -1/2 (/.f64 t z))
(*.f64 (/.f64 z t) -1/2)
(*.f64 z (/.f64 -1/2 t))
(/.f64 (*.f64 z -1/2) t)
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t)))
(fma.f64 -1/2 (/.f64 z t) (*.f64 (/.f64 y t) 1/2))
(fma.f64 (/.f64 z t) -1/2 (*.f64 (/.f64 y t) 1/2))
(fma.f64 z (/.f64 -1/2 t) (*.f64 (/.f64 y t) 1/2))
(*.f64 -1/2 (-.f64 (/.f64 z t) (/.f64 y t)))
(*.f64 (/.f64 1/2 t) (-.f64 y z))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t)))
(fma.f64 -1/2 (/.f64 z t) (*.f64 (/.f64 y t) 1/2))
(fma.f64 (/.f64 z t) -1/2 (*.f64 (/.f64 y t) 1/2))
(fma.f64 z (/.f64 -1/2 t) (*.f64 (/.f64 y t) 1/2))
(*.f64 -1/2 (-.f64 (/.f64 z t) (/.f64 y t)))
(*.f64 (/.f64 1/2 t) (-.f64 y z))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t)))
(fma.f64 -1/2 (/.f64 z t) (*.f64 (/.f64 y t) 1/2))
(fma.f64 (/.f64 z t) -1/2 (*.f64 (/.f64 y t) 1/2))
(fma.f64 z (/.f64 -1/2 t) (*.f64 (/.f64 y t) 1/2))
(*.f64 -1/2 (-.f64 (/.f64 z t) (/.f64 y t)))
(*.f64 (/.f64 1/2 t) (-.f64 y z))

eval203.0ms (1.8%)

Compiler

Compiled 12717 to 6385 computations (49.8% saved)

prune346.0ms (3.1%)

Pruning

12 alts after pruning (7 fresh and 5 done)

PrunedKeptTotal
New5915596
Fresh224
Picked011
Done044
Total59312605
Error
0b
Counts
605 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
▶17.9b
(/.f64 1/2 (/.f64 t (+.f64 y x)))
✓0.1b
(-.f64 (/.f64 (+.f64 x y) (+.f64 t t)) (*.f64 z (/.f64 1/2 t)))
22.1b
(*.f64 1/2 (/.f64 (-.f64 x z) t))
✓43.1b
(*.f64 z (/.f64 -1/2 t))
✓21.3b
(*.f64 1/2 (/.f64 (-.f64 y z) t))
▶39.3b
(*.f64 x (/.f64 1/2 t))
38.3b
(/.f64 (*.f64 1/2 y) t)
✓43.1b
(*.f64 -1/2 (/.f64 z t))
▶39.2b
(/.f64 (*.f64 1/2 x) t)
✓17.6b
(*.f64 1/2 (/.f64 (+.f64 y x) t))
▶43.2b
(/.f64 -1/2 (/.f64 t z))
▶38.4b
(*.f64 y (/.f64 1/2 t))
Compiler

Compiled 191 to 143 computations (25.1% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 t (+.f64 y x))
✓0.6b
(/.f64 1/2 (/.f64 t (+.f64 y x)))
Compiler

Compiled 23 to 9 computations (60.9% saved)

series10.0ms (0.1%)

Counts
2 → 60
Calls

18 calls:

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

rewrite82.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
482×prod-diff_binary64
457×log-prod_binary64
356×exp-prod_binary64
272×pow-prod-down_binary64
247×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
118417
2263717
Stop Event
1×node limit
Counts
2 → 98
Calls
Call 1
Inputs
(/.f64 1/2 (/.f64 t (+.f64 y x)))
(/.f64 t (+.f64 y x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 y x) (/.f64 1/2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (/.f64 1/2 t)) (*.f64 x (/.f64 1/2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 1/2 t)) (*.f64 y (/.f64 1/2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/2 t) y) (*.f64 (/.f64 1/2 t) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/2 t) x) (*.f64 (/.f64 1/2 t) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y x)) (/.f64 1/2 t))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y x)) (/.f64 1/2 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 y x)) (/.f64 1/2 t)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 y x)) (/.f64 1/2 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 y x) (/.f64 1/2 t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (+.f64 y x) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y x) (/.f64 1/2 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y x) (/.f64 1/2 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 y x) (/.f64 1/2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 y x) (/.f64 1/2 t))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 y x) (/.f64 1/2 t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 y x) (/.f64 1/2 t))) 2) (cbrt.f64 (*.f64 (+.f64 y x) (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 y x) (/.f64 1/2 t))) (sqrt.f64 (*.f64 (+.f64 y x) (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 1 (/.f64 (neg.f64 t) (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 y x) t) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 t) (+.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (neg.f64 t)) (neg.f64 (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 t) 1) (+.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 t) (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (cbrt.f64 (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 t) (sqrt.f64 (+.f64 y x))) (sqrt.f64 (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 y x) (/.f64 1/2 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/4 (pow.f64 (/.f64 t (+.f64 y x)) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 y x) (/.f64 1/2 t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 y x) (/.f64 1/2 t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 y x) (/.f64 1/2 t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 t (+.f64 y x)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (+.f64 y x) (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (/.f64 t (+.f64 y x)) 2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (+.f64 y x) (/.f64 1/2 t)))) 2)) (cbrt.f64 (log.f64 (*.f64 (+.f64 y x) (/.f64 1/2 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 y x) (/.f64 1/2 t))))) (sqrt.f64 (log.f64 (*.f64 (+.f64 y x) (/.f64 1/2 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/4 (pow.f64 (/.f64 t (+.f64 y x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 y x)) (/.f64 1/2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 y x) (/.f64 1/2 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 y x) (/.f64 1/2 t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 y x) (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 y x) (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 y x) (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 y x) (/.f64 1/2 t))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (+.f64 y x) (/.f64 1/2 t)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 y x) (/.f64 1/2 t)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 y x) (/.f64 1/2 t)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 t (+.f64 y x)) 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 y x) (/.f64 1/2 t))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (/.f64 1/2 t) (*.f64 x (/.f64 1/2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1/2 t) (*.f64 y (/.f64 1/2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 t) y (*.f64 (/.f64 1/2 t) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 t) x (*.f64 (/.f64 1/2 t) y))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 t (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 t (+.f64 y x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 t (+.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 t (+.f64 y x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 t (+.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 t (+.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 t (/.f64 1 (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 t (+.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 t (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 t) 2) (*.f64 (cbrt.f64 t) (/.f64 1 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 t (+.f64 y x))) (pow.f64 (cbrt.f64 (/.f64 t (+.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 t (+.f64 y x))) 2) (cbrt.f64 (/.f64 t (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 t) (*.f64 (sqrt.f64 t) (/.f64 1 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 t (+.f64 y x))) (sqrt.f64 (/.f64 t (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 t) (/.f64 1 (neg.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 y x)) t)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) 1) (/.f64 (cbrt.f64 t) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 t) 1) (/.f64 (sqrt.f64 t) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) -2) (/.f64 t (cbrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (cbrt.f64 (/.f64 t (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 t) (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (/.f64 (sqrt.f64 t) (cbrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 y x) -1/2) (/.f64 t (sqrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) (sqrt.f64 (+.f64 y x))) (/.f64 (cbrt.f64 t) (sqrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 t (+.f64 (pow.f64 y 3) (pow.f64 x 3))) (fma.f64 x (-.f64 x y) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 t (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 t (+.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 t (+.f64 y x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 t (+.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 t (+.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 t (+.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 y x) t) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 t (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 t 3) (pow.f64 (+.f64 y x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 y x) t) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 t (+.f64 y x)))) 2)) (cbrt.f64 (log.f64 (/.f64 t (+.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 t (+.f64 y x))))) (sqrt.f64 (log.f64 (/.f64 t (+.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 t (neg.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 t (+.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 t (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 t (+.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 t (+.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 t 3) (pow.f64 (+.f64 y x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 t (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 t (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 t (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 t (+.f64 y x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 t (+.f64 y x)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 t (+.f64 y x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 t (+.f64 y x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y x) t)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 t (+.f64 y x))) 1) 1))))))

simplify98.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
660×fma-neg_binary64
494×associate-/r/_binary64
463×associate-/l/_binary64
421×distribute-neg-frac_binary64
393×unswap-sqr_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
053957
1148924
2454876
32192834
46015831
Stop Event
1×node limit
Counts
158 → 116
Calls
Call 1
Inputs
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 1/2 (/.f64 x t))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (/.f64 y t))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (/.f64 y t))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (/.f64 y t))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (/.f64 x t))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (/.f64 x t))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(/.f64 t x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y t) (pow.f64 x 2))) (/.f64 t x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y t) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) t) (pow.f64 x 3)) (/.f64 t x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y t) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) t) (pow.f64 x 3)) (+.f64 (/.f64 t x) (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 3) t) (pow.f64 x 4))))))
(/.f64 t y)
(+.f64 (/.f64 t y) (*.f64 -1 (/.f64 (*.f64 t x) (pow.f64 y 2))))
(+.f64 (/.f64 t y) (+.f64 (*.f64 -1 (/.f64 (*.f64 t x) (pow.f64 y 2))) (/.f64 (*.f64 t (pow.f64 x 2)) (pow.f64 y 3))))
(+.f64 (/.f64 t y) (+.f64 (*.f64 -1 (/.f64 (*.f64 t x) (pow.f64 y 2))) (+.f64 (/.f64 (*.f64 t (pow.f64 x 2)) (pow.f64 y 3)) (*.f64 -1 (/.f64 (*.f64 t (pow.f64 x 3)) (pow.f64 y 4))))))
(/.f64 t y)
(+.f64 (/.f64 t y) (*.f64 -1 (/.f64 (*.f64 t x) (pow.f64 y 2))))
(+.f64 (/.f64 t y) (+.f64 (*.f64 -1 (/.f64 (*.f64 t x) (pow.f64 y 2))) (/.f64 (*.f64 t (pow.f64 x 2)) (pow.f64 y 3))))
(+.f64 (/.f64 t y) (+.f64 (*.f64 -1 (/.f64 (*.f64 t x) (pow.f64 y 2))) (+.f64 (/.f64 (*.f64 t (pow.f64 x 2)) (pow.f64 y 3)) (*.f64 -1 (/.f64 (*.f64 t (pow.f64 x 3)) (pow.f64 y 4))))))
(/.f64 t y)
(+.f64 (/.f64 t y) (*.f64 -1 (/.f64 (*.f64 t x) (pow.f64 y 2))))
(+.f64 (/.f64 t y) (+.f64 (*.f64 -1 (/.f64 (*.f64 t x) (pow.f64 y 2))) (/.f64 (*.f64 t (pow.f64 x 2)) (pow.f64 y 3))))
(+.f64 (/.f64 t y) (+.f64 (*.f64 -1 (/.f64 (*.f64 t x) (pow.f64 y 2))) (+.f64 (/.f64 (*.f64 t (pow.f64 x 2)) (pow.f64 y 3)) (*.f64 -1 (/.f64 (*.f64 t (pow.f64 x 3)) (pow.f64 y 4))))))
(/.f64 t x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y t) (pow.f64 x 2))) (/.f64 t x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y t) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) t) (pow.f64 x 3)) (/.f64 t x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y t) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) t) (pow.f64 x 3)) (+.f64 (/.f64 t x) (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 3) t) (pow.f64 x 4))))))
(/.f64 t x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y t) (pow.f64 x 2))) (/.f64 t x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y t) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) t) (pow.f64 x 3)) (/.f64 t x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y t) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) t) (pow.f64 x 3)) (+.f64 (/.f64 t x) (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 3) t) (pow.f64 x 4))))))
Outputs
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 (+.f64 y x) (/.f64 1/2 t))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 (+.f64 y x) (/.f64 1/2 t))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 (+.f64 y x) (/.f64 1/2 t))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 (+.f64 y x) (/.f64 1/2 t))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 (+.f64 y x) (/.f64 1/2 t))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 (+.f64 y x) (/.f64 1/2 t))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 (+.f64 y x) (/.f64 1/2 t))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 (+.f64 y x) (/.f64 1/2 t))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 (+.f64 y x) (/.f64 1/2 t))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 (+.f64 y x) (/.f64 1/2 t))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 (+.f64 y x) (/.f64 1/2 t))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 (+.f64 y x) (/.f64 1/2 t))
(*.f64 1/2 (/.f64 x t))
(/.f64 (*.f64 1/2 x) t)
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 (+.f64 y x) (/.f64 1/2 t))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 (+.f64 y x) (/.f64 1/2 t))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 (+.f64 y x) (/.f64 1/2 t))
(*.f64 1/2 (/.f64 y t))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 (+.f64 y x) (/.f64 1/2 t))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 (+.f64 y x) (/.f64 1/2 t))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 (+.f64 y x) (/.f64 1/2 t))
(*.f64 1/2 (/.f64 y t))
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(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 (+.f64 y x) (/.f64 1/2 t))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 (+.f64 y x) (/.f64 1/2 t))
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(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 (+.f64 y x) (/.f64 1/2 t))
(*.f64 1/2 (/.f64 y t))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 (+.f64 y x) (/.f64 1/2 t))
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 (+.f64 y x) (/.f64 1/2 t))
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(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 (+.f64 y x) (/.f64 1/2 t))
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(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 (+.f64 y x) (/.f64 1/2 t))
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(*.f64 1/2 (/.f64 (+.f64 y x) t))
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(*.f64 (+.f64 y x) (/.f64 1/2 t))
(/.f64 t x)
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(-.f64 (/.f64 t x) (*.f64 (/.f64 y (*.f64 x x)) t))
(-.f64 (/.f64 t x) (*.f64 t (/.f64 y (*.f64 x x))))
(*.f64 (+.f64 (/.f64 (neg.f64 y) x) 1) (/.f64 t x))
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(fma.f64 (/.f64 y (/.f64 (pow.f64 x 3) y)) t (-.f64 (/.f64 t x) (*.f64 t (/.f64 y (*.f64 x x)))))
(*.f64 (/.f64 t x) (-.f64 (+.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)))
(+.f64 (/.f64 t x) (*.f64 (*.f64 t (/.f64 y (*.f64 x x))) (+.f64 -1 (/.f64 y x))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y t) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) t) (pow.f64 x 3)) (+.f64 (/.f64 t x) (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 3) t) (pow.f64 x 4))))))
(fma.f64 -1 (/.f64 y (/.f64 (*.f64 x x) t)) (+.f64 (/.f64 (*.f64 y y) (/.f64 (pow.f64 x 3) t)) (+.f64 (/.f64 t x) (neg.f64 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 x 4) t))))))
(-.f64 (+.f64 (*.f64 (/.f64 (*.f64 y y) (pow.f64 x 3)) t) (-.f64 (/.f64 t x) (/.f64 t (/.f64 (pow.f64 x 4) (pow.f64 y 3))))) (*.f64 (/.f64 y (*.f64 x x)) t))
(fma.f64 (/.f64 y (/.f64 (pow.f64 x 3) y)) t (-.f64 (-.f64 (/.f64 t x) (*.f64 t (/.f64 y (*.f64 x x)))) (*.f64 t (/.f64 (pow.f64 y 3) (pow.f64 x 4)))))
(+.f64 (*.f64 (+.f64 (/.f64 (neg.f64 y) x) 1) (/.f64 t x)) (*.f64 (/.f64 y (/.f64 (pow.f64 x 3) y)) (-.f64 t (*.f64 y (/.f64 t x)))))
(-.f64 (/.f64 t x) (fma.f64 t (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (*.f64 (/.f64 t (*.f64 x x)) (-.f64 y (*.f64 y (/.f64 y x))))))
(/.f64 t y)
(+.f64 (/.f64 t y) (*.f64 -1 (/.f64 (*.f64 t x) (pow.f64 y 2))))
(+.f64 (/.f64 t y) (neg.f64 (/.f64 t (/.f64 (*.f64 y y) x))))
(-.f64 (/.f64 t y) (*.f64 (/.f64 t y) (/.f64 x y)))
(-.f64 (/.f64 t y) (*.f64 x (/.f64 t (*.f64 y y))))
(*.f64 (+.f64 (/.f64 (neg.f64 x) y) 1) (/.f64 t y))
(+.f64 (/.f64 t y) (+.f64 (*.f64 -1 (/.f64 (*.f64 t x) (pow.f64 y 2))) (/.f64 (*.f64 t (pow.f64 x 2)) (pow.f64 y 3))))
(+.f64 (/.f64 t y) (fma.f64 -1 (/.f64 t (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 t (*.f64 x x)) (pow.f64 y 3))))
(+.f64 (-.f64 (/.f64 t y) (*.f64 (/.f64 t y) (/.f64 x y))) (/.f64 t (/.f64 (pow.f64 y 3) (*.f64 x x))))
(+.f64 (/.f64 t y) (*.f64 (/.f64 t (*.f64 y y)) (-.f64 (/.f64 x (/.f64 y x)) x)))
(+.f64 (/.f64 t y) (*.f64 (*.f64 x (/.f64 t (*.f64 y y))) (+.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 t y) (*.f64 (/.f64 x (*.f64 y y)) (-.f64 (*.f64 x (/.f64 t y)) t)))
(+.f64 (/.f64 t y) (+.f64 (*.f64 -1 (/.f64 (*.f64 t x) (pow.f64 y 2))) (+.f64 (/.f64 (*.f64 t (pow.f64 x 2)) (pow.f64 y 3)) (*.f64 -1 (/.f64 (*.f64 t (pow.f64 x 3)) (pow.f64 y 4))))))
(+.f64 (/.f64 t y) (+.f64 (fma.f64 -1 (/.f64 t (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 t (*.f64 x x)) (pow.f64 y 3))) (neg.f64 (/.f64 t (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(+.f64 (-.f64 (/.f64 t y) (*.f64 (/.f64 t y) (/.f64 x y))) (-.f64 (/.f64 t (/.f64 (pow.f64 y 3) (*.f64 x x))) (*.f64 (/.f64 t (pow.f64 y 4)) (pow.f64 x 3))))
(-.f64 (*.f64 (/.f64 t (*.f64 y y)) (-.f64 (/.f64 x (/.f64 y x)) x)) (-.f64 (*.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 4)) t) (/.f64 t y)))
(+.f64 (/.f64 t y) (*.f64 (/.f64 t (*.f64 y y)) (-.f64 (-.f64 (*.f64 (/.f64 x y) x) x) (/.f64 (pow.f64 x 3) (*.f64 y y)))))
(/.f64 t y)
(+.f64 (/.f64 t y) (*.f64 -1 (/.f64 (*.f64 t x) (pow.f64 y 2))))
(+.f64 (/.f64 t y) (neg.f64 (/.f64 t (/.f64 (*.f64 y y) x))))
(-.f64 (/.f64 t y) (*.f64 (/.f64 t y) (/.f64 x y)))
(-.f64 (/.f64 t y) (*.f64 x (/.f64 t (*.f64 y y))))
(*.f64 (+.f64 (/.f64 (neg.f64 x) y) 1) (/.f64 t y))
(+.f64 (/.f64 t y) (+.f64 (*.f64 -1 (/.f64 (*.f64 t x) (pow.f64 y 2))) (/.f64 (*.f64 t (pow.f64 x 2)) (pow.f64 y 3))))
(+.f64 (/.f64 t y) (fma.f64 -1 (/.f64 t (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 t (*.f64 x x)) (pow.f64 y 3))))
(+.f64 (-.f64 (/.f64 t y) (*.f64 (/.f64 t y) (/.f64 x y))) (/.f64 t (/.f64 (pow.f64 y 3) (*.f64 x x))))
(+.f64 (/.f64 t y) (*.f64 (/.f64 t (*.f64 y y)) (-.f64 (/.f64 x (/.f64 y x)) x)))
(+.f64 (/.f64 t y) (*.f64 (*.f64 x (/.f64 t (*.f64 y y))) (+.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 t y) (*.f64 (/.f64 x (*.f64 y y)) (-.f64 (*.f64 x (/.f64 t y)) t)))
(+.f64 (/.f64 t y) (+.f64 (*.f64 -1 (/.f64 (*.f64 t x) (pow.f64 y 2))) (+.f64 (/.f64 (*.f64 t (pow.f64 x 2)) (pow.f64 y 3)) (*.f64 -1 (/.f64 (*.f64 t (pow.f64 x 3)) (pow.f64 y 4))))))
(+.f64 (/.f64 t y) (+.f64 (fma.f64 -1 (/.f64 t (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 t (*.f64 x x)) (pow.f64 y 3))) (neg.f64 (/.f64 t (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(+.f64 (-.f64 (/.f64 t y) (*.f64 (/.f64 t y) (/.f64 x y))) (-.f64 (/.f64 t (/.f64 (pow.f64 y 3) (*.f64 x x))) (*.f64 (/.f64 t (pow.f64 y 4)) (pow.f64 x 3))))
(-.f64 (*.f64 (/.f64 t (*.f64 y y)) (-.f64 (/.f64 x (/.f64 y x)) x)) (-.f64 (*.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 4)) t) (/.f64 t y)))
(+.f64 (/.f64 t y) (*.f64 (/.f64 t (*.f64 y y)) (-.f64 (-.f64 (*.f64 (/.f64 x y) x) x) (/.f64 (pow.f64 x 3) (*.f64 y y)))))
(/.f64 t y)
(+.f64 (/.f64 t y) (*.f64 -1 (/.f64 (*.f64 t x) (pow.f64 y 2))))
(+.f64 (/.f64 t y) (neg.f64 (/.f64 t (/.f64 (*.f64 y y) x))))
(-.f64 (/.f64 t y) (*.f64 (/.f64 t y) (/.f64 x y)))
(-.f64 (/.f64 t y) (*.f64 x (/.f64 t (*.f64 y y))))
(*.f64 (+.f64 (/.f64 (neg.f64 x) y) 1) (/.f64 t y))
(+.f64 (/.f64 t y) (+.f64 (*.f64 -1 (/.f64 (*.f64 t x) (pow.f64 y 2))) (/.f64 (*.f64 t (pow.f64 x 2)) (pow.f64 y 3))))
(+.f64 (/.f64 t y) (fma.f64 -1 (/.f64 t (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 t (*.f64 x x)) (pow.f64 y 3))))
(+.f64 (-.f64 (/.f64 t y) (*.f64 (/.f64 t y) (/.f64 x y))) (/.f64 t (/.f64 (pow.f64 y 3) (*.f64 x x))))
(+.f64 (/.f64 t y) (*.f64 (/.f64 t (*.f64 y y)) (-.f64 (/.f64 x (/.f64 y x)) x)))
(+.f64 (/.f64 t y) (*.f64 (*.f64 x (/.f64 t (*.f64 y y))) (+.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 t y) (*.f64 (/.f64 x (*.f64 y y)) (-.f64 (*.f64 x (/.f64 t y)) t)))
(+.f64 (/.f64 t y) (+.f64 (*.f64 -1 (/.f64 (*.f64 t x) (pow.f64 y 2))) (+.f64 (/.f64 (*.f64 t (pow.f64 x 2)) (pow.f64 y 3)) (*.f64 -1 (/.f64 (*.f64 t (pow.f64 x 3)) (pow.f64 y 4))))))
(+.f64 (/.f64 t y) (+.f64 (fma.f64 -1 (/.f64 t (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 t (*.f64 x x)) (pow.f64 y 3))) (neg.f64 (/.f64 t (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(+.f64 (-.f64 (/.f64 t y) (*.f64 (/.f64 t y) (/.f64 x y))) (-.f64 (/.f64 t (/.f64 (pow.f64 y 3) (*.f64 x x))) (*.f64 (/.f64 t (pow.f64 y 4)) (pow.f64 x 3))))
(-.f64 (*.f64 (/.f64 t (*.f64 y y)) (-.f64 (/.f64 x (/.f64 y x)) x)) (-.f64 (*.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 4)) t) (/.f64 t y)))
(+.f64 (/.f64 t y) (*.f64 (/.f64 t (*.f64 y y)) (-.f64 (-.f64 (*.f64 (/.f64 x y) x) x) (/.f64 (pow.f64 x 3) (*.f64 y y)))))
(/.f64 t x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y t) (pow.f64 x 2))) (/.f64 t x))
(fma.f64 -1 (/.f64 y (/.f64 (*.f64 x x) t)) (/.f64 t x))
(-.f64 (/.f64 t x) (*.f64 (/.f64 y (*.f64 x x)) t))
(-.f64 (/.f64 t x) (*.f64 t (/.f64 y (*.f64 x x))))
(*.f64 (+.f64 (/.f64 (neg.f64 y) x) 1) (/.f64 t x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y t) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) t) (pow.f64 x 3)) (/.f64 t x)))
(fma.f64 -1 (/.f64 y (/.f64 (*.f64 x x) t)) (+.f64 (/.f64 t x) (/.f64 (*.f64 y y) (/.f64 (pow.f64 x 3) t))))
(+.f64 (-.f64 (/.f64 t x) (*.f64 (/.f64 y (*.f64 x x)) t)) (*.f64 (/.f64 (*.f64 y y) (pow.f64 x 3)) t))
(fma.f64 (/.f64 y (/.f64 (pow.f64 x 3) y)) t (-.f64 (/.f64 t x) (*.f64 t (/.f64 y (*.f64 x x)))))
(*.f64 (/.f64 t x) (-.f64 (+.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)))
(+.f64 (/.f64 t x) (*.f64 (*.f64 t (/.f64 y (*.f64 x x))) (+.f64 -1 (/.f64 y x))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y t) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) t) (pow.f64 x 3)) (+.f64 (/.f64 t x) (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 3) t) (pow.f64 x 4))))))
(fma.f64 -1 (/.f64 y (/.f64 (*.f64 x x) t)) (+.f64 (/.f64 (*.f64 y y) (/.f64 (pow.f64 x 3) t)) (+.f64 (/.f64 t x) (neg.f64 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 x 4) t))))))
(-.f64 (+.f64 (*.f64 (/.f64 (*.f64 y y) (pow.f64 x 3)) t) (-.f64 (/.f64 t x) (/.f64 t (/.f64 (pow.f64 x 4) (pow.f64 y 3))))) (*.f64 (/.f64 y (*.f64 x x)) t))
(fma.f64 (/.f64 y (/.f64 (pow.f64 x 3) y)) t (-.f64 (-.f64 (/.f64 t x) (*.f64 t (/.f64 y (*.f64 x x)))) (*.f64 t (/.f64 (pow.f64 y 3) (pow.f64 x 4)))))
(+.f64 (*.f64 (+.f64 (/.f64 (neg.f64 y) x) 1) (/.f64 t x)) (*.f64 (/.f64 y (/.f64 (pow.f64 x 3) y)) (-.f64 t (*.f64 y (/.f64 t x)))))
(-.f64 (/.f64 t x) (fma.f64 t (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (*.f64 (/.f64 t (*.f64 x x)) (-.f64 y (*.f64 y (/.f64 y x))))))
(/.f64 t x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y t) (pow.f64 x 2))) (/.f64 t x))
(fma.f64 -1 (/.f64 y (/.f64 (*.f64 x x) t)) (/.f64 t x))
(-.f64 (/.f64 t x) (*.f64 (/.f64 y (*.f64 x x)) t))
(-.f64 (/.f64 t x) (*.f64 t (/.f64 y (*.f64 x x))))
(*.f64 (+.f64 (/.f64 (neg.f64 y) x) 1) (/.f64 t x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y t) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) t) (pow.f64 x 3)) (/.f64 t x)))
(fma.f64 -1 (/.f64 y (/.f64 (*.f64 x x) t)) (+.f64 (/.f64 t x) (/.f64 (*.f64 y y) (/.f64 (pow.f64 x 3) t))))
(+.f64 (-.f64 (/.f64 t x) (*.f64 (/.f64 y (*.f64 x x)) t)) (*.f64 (/.f64 (*.f64 y y) (pow.f64 x 3)) t))
(fma.f64 (/.f64 y (/.f64 (pow.f64 x 3) y)) t (-.f64 (/.f64 t x) (*.f64 t (/.f64 y (*.f64 x x)))))
(*.f64 (/.f64 t x) (-.f64 (+.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)))
(+.f64 (/.f64 t x) (*.f64 (*.f64 t (/.f64 y (*.f64 x x))) (+.f64 -1 (/.f64 y x))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y t) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) t) (pow.f64 x 3)) (+.f64 (/.f64 t x) (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 3) t) (pow.f64 x 4))))))
(fma.f64 -1 (/.f64 y (/.f64 (*.f64 x x) t)) (+.f64 (/.f64 (*.f64 y y) (/.f64 (pow.f64 x 3) t)) (+.f64 (/.f64 t x) (neg.f64 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 x 4) t))))))
(-.f64 (+.f64 (*.f64 (/.f64 (*.f64 y y) (pow.f64 x 3)) t) (-.f64 (/.f64 t x) (/.f64 t (/.f64 (pow.f64 x 4) (pow.f64 y 3))))) (*.f64 (/.f64 y (*.f64 x x)) t))
(fma.f64 (/.f64 y (/.f64 (pow.f64 x 3) y)) t (-.f64 (-.f64 (/.f64 t x) (*.f64 t (/.f64 y (*.f64 x x)))) (*.f64 t (/.f64 (pow.f64 y 3) (pow.f64 x 4)))))
(+.f64 (*.f64 (+.f64 (/.f64 (neg.f64 y) x) 1) (/.f64 t x)) (*.f64 (/.f64 y (/.f64 (pow.f64 x 3) y)) (-.f64 t (*.f64 y (/.f64 t x)))))
(-.f64 (/.f64 t x) (fma.f64 t (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (*.f64 (/.f64 t (*.f64 x x)) (-.f64 y (*.f64 y (/.f64 y x))))))

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 x (/.f64 1/2 t))
Compiler

Compiled 15 to 10 computations (33.3% saved)

series6.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite76.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
616×pow1_binary64
572×add-log-exp_binary64
572×log1p-expm1-u_binary64
572×expm1-log1p-u_binary64
561×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11287
215577
Stop Event
1×node limit
Counts
1 → 20
Calls
Call 1
Inputs
(*.f64 x (/.f64 1/2 t))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (/.f64 1/2 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 t 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 t (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/2) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x 1/2)) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 1/2) 1) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 1/2) (sqrt.f64 t)) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 x) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1/2) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 1/2 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 1/2 t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 1/2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 1/2 t))))))))

simplify18.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
3×*-commutative_binary64
2×associate-/l*_binary64
1×associate-*r/_binary64
1×associate-*l/_binary64
1×associate-/r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06168
19168
213168
317168
418168
Stop Event
1×saturated
Counts
44 → 21
Calls
Call 1
Inputs
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
Outputs
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))

localize14.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 y (/.f64 1/2 t))
Compiler

Compiled 15 to 10 computations (33.3% saved)

series6.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
t
@0
(*.f64 y (/.f64 1/2 t))
1.0ms
y
@inf
(*.f64 y (/.f64 1/2 t))
1.0ms
t
@inf
(*.f64 y (/.f64 1/2 t))
1.0ms
y
@0
(*.f64 y (/.f64 1/2 t))
1.0ms
y
@-inf
(*.f64 y (/.f64 1/2 t))

rewrite68.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
616×pow1_binary64
572×add-log-exp_binary64
572×log1p-expm1-u_binary64
572×expm1-log1p-u_binary64
561×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11287
215577
Stop Event
1×node limit
Counts
1 → 20
Calls
Call 1
Inputs
(*.f64 y (/.f64 1/2 t))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (/.f64 1/2 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (*.f64 t 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 t (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 1/2) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y 1/2)) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y 1/2) 1) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y 1/2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y 1/2) (sqrt.f64 t)) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 y) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y -1/2) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (/.f64 1/2 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (/.f64 1/2 t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (/.f64 1/2 t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (/.f64 1/2 t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (/.f64 1/2 t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 1/2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (/.f64 1/2 t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (/.f64 1/2 t))))))))

simplify13.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
3×*-commutative_binary64
2×associate-/l*_binary64
1×associate-*r/_binary64
1×associate-*l/_binary64
1×associate-/r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06168
19168
213168
317168
418168
Stop Event
1×saturated
Counts
44 → 21
Calls
Call 1
Inputs
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
Outputs
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 -1/2 (/.f64 t z))
Compiler

Compiled 15 to 8 computations (46.7% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
t
@0
(/.f64 -1/2 (/.f64 t z))
0.0ms
t
@inf
(/.f64 -1/2 (/.f64 t z))
0.0ms
z
@inf
(/.f64 -1/2 (/.f64 t z))
0.0ms
t
@-inf
(/.f64 -1/2 (/.f64 t z))
0.0ms
z
@-inf
(/.f64 -1/2 (/.f64 t z))

rewrite47.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
697×pow1_binary64
651×add-log-exp_binary64
650×log1p-expm1-u_binary64
650×expm1-log1p-u_binary64
638×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11347
217697
Stop Event
1×node limit
Counts
1 → 26
Calls
Call 1
Inputs
(/.f64 -1/2 (/.f64 t z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/2 (/.f64 z t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 z t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 -1/2 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/2 (/.f64 z t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -1/2 (/.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 z t))) (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 z t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 z t))) 2) (cbrt.f64 (*.f64 -1/2 (/.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 z t))) (sqrt.f64 (*.f64 -1/2 (/.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 1 (/.f64 (neg.f64 t) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z t) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 t) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (neg.f64 t)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1/2 t) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1/2 t) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1/2 t) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/2 (/.f64 z t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/2 (/.f64 z t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 z t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 z t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 t z) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/4 (pow.f64 (/.f64 t z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/2) (/.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/2 (/.f64 z t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/2 (/.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/2 (/.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/2 (/.f64 z t))))))))

simplify11.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
3×*-commutative_binary64
2×associate-/l*_binary64
1×associate-*r/_binary64
1×associate-*l/_binary64
1×associate-/r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06168
19168
213168
317168
418168
Stop Event
1×saturated
Counts
50 → 26
Calls
Call 1
Inputs
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
Outputs
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))
(*.f64 -1/2 (/.f64 z t))

localize7.0ms (0.1%)

Compiler

Compiled 15 to 10 computations (33.3% saved)

eval80.0ms (0.7%)

Compiler

Compiled 2023 to 1115 computations (44.9% saved)

prune49.0ms (0.4%)

Pruning

13 alts after pruning (3 fresh and 10 done)

PrunedKeptTotal
New1822184
Fresh112
Picked011
Done099
Total18313196
Error
0b
Counts
196 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
✓17.9b
(/.f64 1/2 (/.f64 t (+.f64 y x)))
✓0.1b
(-.f64 (/.f64 (+.f64 x y) (+.f64 t t)) (*.f64 z (/.f64 1/2 t)))
▶22.1b
(*.f64 1/2 (/.f64 (-.f64 x z) t))
✓43.1b
(*.f64 z (/.f64 -1/2 t))
✓21.3b
(*.f64 1/2 (/.f64 (-.f64 y z) t))
▶38.3b
(/.f64 (*.f64 y 1/2) t)
✓43.1b
(*.f64 -1/2 (/.f64 z t))
✓39.2b
(/.f64 (*.f64 1/2 x) t)
▶39.3b
(/.f64 1/2 (/.f64 t x))
✓17.6b
(*.f64 1/2 (/.f64 (+.f64 y x) t))
✓43.2b
(/.f64 -1/2 (/.f64 t z))
✓38.4b
(*.f64 y (/.f64 1/2 t))
✓39.3b
(*.f64 x (/.f64 1/2 t))
Compiler

Compiled 133 to 99 computations (25.6% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 23 to 9 computations (60.9% saved)

series9.0ms (0.1%)

Counts
2 → 48
Calls

18 calls:

TimeVariablePointExpression
1.0ms
t
@inf
(/.f64 (-.f64 x z) t)
1.0ms
t
@-inf
(/.f64 (-.f64 x z) t)
1.0ms
t
@0
(/.f64 (-.f64 x z) t)
0.0ms
x
@0
(/.f64 (-.f64 x z) t)
0.0ms
t
@inf
(*.f64 1/2 (/.f64 (-.f64 x z) t))

rewrite106.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
541×prod-diff_binary64
475×log-prod_binary64
369×exp-prod_binary64
271×pow-prod-down_binary64
251×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
118117
2262117
Stop Event
1×node limit
Counts
2 → 217
Calls
Call 1
Inputs
(/.f64 (-.f64 x z) t)
(*.f64 1/2 (/.f64 (-.f64 x z) t))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x z) t) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 z t))) (sqrt.f64 (/.f64 z t)) (/.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x z) t) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 t))) (/.f64 (sqrt.f64 z) (sqrt.f64 t)) (/.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 x z) t) 1/2) (*.f64 (/.f64 (-.f64 x z) t) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x t) (neg.f64 (/.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 x z) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (/.f64 1 t) (neg.f64 (*.f64 (/.f64 1 t) z))) (fma.f64 (neg.f64 (/.f64 1 t)) z (*.f64 (/.f64 1 t) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 x t) (neg.f64 (*.f64 (/.f64 1 t) z))) (fma.f64 (neg.f64 (/.f64 1 t)) z (*.f64 (/.f64 1 t) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 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simplify93.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
588×fma-def_binary64
455×fma-neg_binary64
146×cancel-sign-sub-inv_binary64
127×distribute-rgt-in_binary64
103×associate-*l*_binary64
Iterations

Useful iterations: 10 (0.0ms)

IterNodesCost
014540
127504
247504
365504
482504
5112504
6170504
7242486
8394486
9716432
101382378
112304378
122647378
132902378
142906378
152906378
Stop Event
1×saturated
Counts
265 → 228
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 z t))
(+.f64 (/.f64 x t) (*.f64 -1 (/.f64 z t)))
(+.f64 (/.f64 x t) (*.f64 -1 (/.f64 z t)))
(+.f64 (/.f64 x t) (*.f64 -1 (/.f64 z t)))
(/.f64 x t)
(+.f64 (/.f64 x t) (*.f64 -1 (/.f64 z t)))
(+.f64 (/.f64 x t) (*.f64 -1 (/.f64 z t)))
(+.f64 (/.f64 x t) (*.f64 -1 (/.f64 z t)))
(/.f64 x t)
(+.f64 (/.f64 x t) (*.f64 -1 (/.f64 z t)))
(+.f64 (/.f64 x t) (*.f64 -1 (/.f64 z t)))
(+.f64 (/.f64 x t) (*.f64 -1 (/.f64 z t)))
(/.f64 x t)
(+.f64 (/.f64 x t) (*.f64 -1 (/.f64 z t)))
(+.f64 (/.f64 x t) (*.f64 -1 (/.f64 z t)))
(+.f64 (/.f64 x t) (*.f64 -1 (/.f64 z t)))
(*.f64 -1 (/.f64 z t))
(+.f64 (/.f64 x t) (*.f64 -1 (/.f64 z t)))
(+.f64 (/.f64 x t) (*.f64 -1 (/.f64 z t)))
(+.f64 (/.f64 x t) (*.f64 -1 (/.f64 z t)))
(*.f64 -1 (/.f64 z t))
(+.f64 (/.f64 x t) (*.f64 -1 (/.f64 z t)))
(+.f64 (/.f64 x t) (*.f64 -1 (/.f64 z t)))
(+.f64 (/.f64 x t) (*.f64 -1 (/.f64 z t)))
(*.f64 -1/2 (/.f64 z t))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t)))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t)))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (/.f64 x t))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t)))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t)))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (/.f64 x t))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t)))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t)))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (/.f64 x t))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t)))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t)))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t)))
(*.f64 -1/2 (/.f64 z t))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t)))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t)))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t)))
(*.f64 -1/2 (/.f64 z t))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t)))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t)))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t)))
Outputs
(*.f64 -1 (/.f64 z t))
(neg.f64 (/.f64 z t))
(/.f64 (neg.f64 z) t)
(+.f64 (/.f64 x t) (*.f64 -1 (/.f64 z t)))
(+.f64 (neg.f64 (/.f64 z t)) (/.f64 x t))
(-.f64 (/.f64 x t) (/.f64 z t))
(/.f64 (-.f64 x z) t)
(+.f64 (/.f64 x t) (*.f64 -1 (/.f64 z t)))
(+.f64 (neg.f64 (/.f64 z t)) (/.f64 x t))
(-.f64 (/.f64 x t) (/.f64 z t))
(/.f64 (-.f64 x z) t)
(+.f64 (/.f64 x t) (*.f64 -1 (/.f64 z t)))
(+.f64 (neg.f64 (/.f64 z t)) (/.f64 x t))
(-.f64 (/.f64 x t) (/.f64 z t))
(/.f64 (-.f64 x z) t)
(/.f64 x t)
(+.f64 (/.f64 x t) (*.f64 -1 (/.f64 z t)))
(+.f64 (neg.f64 (/.f64 z t)) (/.f64 x t))
(-.f64 (/.f64 x t) (/.f64 z t))
(/.f64 (-.f64 x z) t)
(+.f64 (/.f64 x t) (*.f64 -1 (/.f64 z t)))
(+.f64 (neg.f64 (/.f64 z t)) (/.f64 x t))
(-.f64 (/.f64 x t) (/.f64 z t))
(/.f64 (-.f64 x z) t)
(+.f64 (/.f64 x t) (*.f64 -1 (/.f64 z t)))
(+.f64 (neg.f64 (/.f64 z t)) (/.f64 x t))
(-.f64 (/.f64 x t) (/.f64 z t))
(/.f64 (-.f64 x z) t)
(/.f64 x t)
(+.f64 (/.f64 x t) (*.f64 -1 (/.f64 z t)))
(+.f64 (neg.f64 (/.f64 z t)) (/.f64 x t))
(-.f64 (/.f64 x t) (/.f64 z t))
(/.f64 (-.f64 x z) t)
(+.f64 (/.f64 x t) (*.f64 -1 (/.f64 z t)))
(+.f64 (neg.f64 (/.f64 z t)) (/.f64 x t))
(-.f64 (/.f64 x t) (/.f64 z t))
(/.f64 (-.f64 x z) t)
(+.f64 (/.f64 x t) (*.f64 -1 (/.f64 z t)))
(+.f64 (neg.f64 (/.f64 z t)) (/.f64 x t))
(-.f64 (/.f64 x t) (/.f64 z t))
(/.f64 (-.f64 x z) t)
(/.f64 x t)
(+.f64 (/.f64 x t) (*.f64 -1 (/.f64 z t)))
(+.f64 (neg.f64 (/.f64 z t)) (/.f64 x t))
(-.f64 (/.f64 x t) (/.f64 z t))
(/.f64 (-.f64 x z) t)
(+.f64 (/.f64 x t) (*.f64 -1 (/.f64 z t)))
(+.f64 (neg.f64 (/.f64 z t)) (/.f64 x t))
(-.f64 (/.f64 x t) (/.f64 z t))
(/.f64 (-.f64 x z) t)
(+.f64 (/.f64 x t) (*.f64 -1 (/.f64 z t)))
(+.f64 (neg.f64 (/.f64 z t)) (/.f64 x t))
(-.f64 (/.f64 x t) (/.f64 z t))
(/.f64 (-.f64 x z) t)
(*.f64 -1 (/.f64 z t))
(neg.f64 (/.f64 z t))
(/.f64 (neg.f64 z) t)
(+.f64 (/.f64 x t) (*.f64 -1 (/.f64 z t)))
(+.f64 (neg.f64 (/.f64 z t)) (/.f64 x t))
(-.f64 (/.f64 x t) (/.f64 z t))
(/.f64 (-.f64 x z) t)
(+.f64 (/.f64 x t) (*.f64 -1 (/.f64 z t)))
(+.f64 (neg.f64 (/.f64 z t)) (/.f64 x t))
(-.f64 (/.f64 x t) (/.f64 z t))
(/.f64 (-.f64 x z) t)
(+.f64 (/.f64 x t) (*.f64 -1 (/.f64 z t)))
(+.f64 (neg.f64 (/.f64 z t)) (/.f64 x t))
(-.f64 (/.f64 x t) (/.f64 z t))
(/.f64 (-.f64 x z) t)
(*.f64 -1 (/.f64 z t))
(neg.f64 (/.f64 z t))
(/.f64 (neg.f64 z) t)
(+.f64 (/.f64 x t) (*.f64 -1 (/.f64 z t)))
(+.f64 (neg.f64 (/.f64 z t)) (/.f64 x t))
(-.f64 (/.f64 x t) (/.f64 z t))
(/.f64 (-.f64 x z) t)
(+.f64 (/.f64 x t) (*.f64 -1 (/.f64 z t)))
(+.f64 (neg.f64 (/.f64 z t)) (/.f64 x t))
(-.f64 (/.f64 x t) (/.f64 z t))
(/.f64 (-.f64 x z) t)
(+.f64 (/.f64 x t) (*.f64 -1 (/.f64 z t)))
(+.f64 (neg.f64 (/.f64 z t)) (/.f64 x t))
(-.f64 (/.f64 x t) (/.f64 z t))
(/.f64 (-.f64 x z) t)
(*.f64 -1/2 (/.f64 z t))
(/.f64 (*.f64 -1/2 z) t)
(/.f64 -1/2 (/.f64 t z))
(*.f64 (/.f64 z t) -1/2)
(*.f64 z (/.f64 -1/2 t))
(/.f64 (*.f64 z -1/2) t)
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t)))
(fma.f64 -1/2 (/.f64 z t) (*.f64 (/.f64 x t) 1/2))
(fma.f64 (/.f64 z t) -1/2 (*.f64 (/.f64 x t) 1/2))
(fma.f64 z (/.f64 -1/2 t) (*.f64 (/.f64 x t) 1/2))
(*.f64 -1/2 (-.f64 (/.f64 z t) (/.f64 x t)))
(*.f64 (/.f64 1/2 t) (-.f64 x z))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t)))
(fma.f64 -1/2 (/.f64 z t) (*.f64 (/.f64 x t) 1/2))
(fma.f64 (/.f64 z t) -1/2 (*.f64 (/.f64 x t) 1/2))
(fma.f64 z (/.f64 -1/2 t) (*.f64 (/.f64 x t) 1/2))
(*.f64 -1/2 (-.f64 (/.f64 z t) (/.f64 x t)))
(*.f64 (/.f64 1/2 t) (-.f64 x z))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t)))
(fma.f64 -1/2 (/.f64 z t) (*.f64 (/.f64 x t) 1/2))
(fma.f64 (/.f64 z t) -1/2 (*.f64 (/.f64 x t) 1/2))
(fma.f64 z (/.f64 -1/2 t) (*.f64 (/.f64 x t) 1/2))
(*.f64 -1/2 (-.f64 (/.f64 z t) (/.f64 x t)))
(*.f64 (/.f64 1/2 t) (-.f64 x z))
(*.f64 1/2 (/.f64 x t))
(*.f64 (/.f64 x t) 1/2)
(*.f64 x (/.f64 1/2 t))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t)))
(fma.f64 -1/2 (/.f64 z t) (*.f64 (/.f64 x t) 1/2))
(fma.f64 (/.f64 z t) -1/2 (*.f64 (/.f64 x t) 1/2))
(fma.f64 z (/.f64 -1/2 t) (*.f64 (/.f64 x t) 1/2))
(*.f64 -1/2 (-.f64 (/.f64 z t) (/.f64 x t)))
(*.f64 (/.f64 1/2 t) (-.f64 x z))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t)))
(fma.f64 -1/2 (/.f64 z t) (*.f64 (/.f64 x t) 1/2))
(fma.f64 (/.f64 z t) -1/2 (*.f64 (/.f64 x t) 1/2))
(fma.f64 z (/.f64 -1/2 t) (*.f64 (/.f64 x t) 1/2))
(*.f64 -1/2 (-.f64 (/.f64 z t) (/.f64 x t)))
(*.f64 (/.f64 1/2 t) (-.f64 x z))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t)))
(fma.f64 -1/2 (/.f64 z t) (*.f64 (/.f64 x t) 1/2))
(fma.f64 (/.f64 z t) -1/2 (*.f64 (/.f64 x t) 1/2))
(fma.f64 z (/.f64 -1/2 t) (*.f64 (/.f64 x t) 1/2))
(*.f64 -1/2 (-.f64 (/.f64 z t) (/.f64 x t)))
(*.f64 (/.f64 1/2 t) (-.f64 x z))
(*.f64 1/2 (/.f64 x t))
(*.f64 (/.f64 x t) 1/2)
(*.f64 x (/.f64 1/2 t))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t)))
(fma.f64 -1/2 (/.f64 z t) (*.f64 (/.f64 x t) 1/2))
(fma.f64 (/.f64 z t) -1/2 (*.f64 (/.f64 x t) 1/2))
(fma.f64 z (/.f64 -1/2 t) (*.f64 (/.f64 x t) 1/2))
(*.f64 -1/2 (-.f64 (/.f64 z t) (/.f64 x t)))
(*.f64 (/.f64 1/2 t) (-.f64 x z))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t)))
(fma.f64 -1/2 (/.f64 z t) (*.f64 (/.f64 x t) 1/2))
(fma.f64 (/.f64 z t) -1/2 (*.f64 (/.f64 x t) 1/2))
(fma.f64 z (/.f64 -1/2 t) (*.f64 (/.f64 x t) 1/2))
(*.f64 -1/2 (-.f64 (/.f64 z t) (/.f64 x t)))
(*.f64 (/.f64 1/2 t) (-.f64 x z))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t)))
(fma.f64 -1/2 (/.f64 z t) (*.f64 (/.f64 x t) 1/2))
(fma.f64 (/.f64 z t) -1/2 (*.f64 (/.f64 x t) 1/2))
(fma.f64 z (/.f64 -1/2 t) (*.f64 (/.f64 x t) 1/2))
(*.f64 -1/2 (-.f64 (/.f64 z t) (/.f64 x t)))
(*.f64 (/.f64 1/2 t) (-.f64 x z))
(*.f64 1/2 (/.f64 x t))
(*.f64 (/.f64 x t) 1/2)
(*.f64 x (/.f64 1/2 t))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t)))
(fma.f64 -1/2 (/.f64 z t) (*.f64 (/.f64 x t) 1/2))
(fma.f64 (/.f64 z t) -1/2 (*.f64 (/.f64 x t) 1/2))
(fma.f64 z (/.f64 -1/2 t) (*.f64 (/.f64 x t) 1/2))
(*.f64 -1/2 (-.f64 (/.f64 z t) (/.f64 x t)))
(*.f64 (/.f64 1/2 t) (-.f64 x z))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t)))
(fma.f64 -1/2 (/.f64 z t) (*.f64 (/.f64 x t) 1/2))
(fma.f64 (/.f64 z t) -1/2 (*.f64 (/.f64 x t) 1/2))
(fma.f64 z (/.f64 -1/2 t) (*.f64 (/.f64 x t) 1/2))
(*.f64 -1/2 (-.f64 (/.f64 z t) (/.f64 x t)))
(*.f64 (/.f64 1/2 t) (-.f64 x z))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t)))
(fma.f64 -1/2 (/.f64 z t) (*.f64 (/.f64 x t) 1/2))
(fma.f64 (/.f64 z t) -1/2 (*.f64 (/.f64 x t) 1/2))
(fma.f64 z (/.f64 -1/2 t) (*.f64 (/.f64 x t) 1/2))
(*.f64 -1/2 (-.f64 (/.f64 z t) (/.f64 x t)))
(*.f64 (/.f64 1/2 t) (-.f64 x z))
(*.f64 -1/2 (/.f64 z t))
(/.f64 (*.f64 -1/2 z) t)
(/.f64 -1/2 (/.f64 t z))
(*.f64 (/.f64 z t) -1/2)
(*.f64 z (/.f64 -1/2 t))
(/.f64 (*.f64 z -1/2) t)
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t)))
(fma.f64 -1/2 (/.f64 z t) (*.f64 (/.f64 x t) 1/2))
(fma.f64 (/.f64 z t) -1/2 (*.f64 (/.f64 x t) 1/2))
(fma.f64 z (/.f64 -1/2 t) (*.f64 (/.f64 x t) 1/2))
(*.f64 -1/2 (-.f64 (/.f64 z t) (/.f64 x t)))
(*.f64 (/.f64 1/2 t) (-.f64 x z))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t)))
(fma.f64 -1/2 (/.f64 z t) (*.f64 (/.f64 x t) 1/2))
(fma.f64 (/.f64 z t) -1/2 (*.f64 (/.f64 x t) 1/2))
(fma.f64 z (/.f64 -1/2 t) (*.f64 (/.f64 x t) 1/2))
(*.f64 -1/2 (-.f64 (/.f64 z t) (/.f64 x t)))
(*.f64 (/.f64 1/2 t) (-.f64 x z))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t)))
(fma.f64 -1/2 (/.f64 z t) (*.f64 (/.f64 x t) 1/2))
(fma.f64 (/.f64 z t) -1/2 (*.f64 (/.f64 x t) 1/2))
(fma.f64 z (/.f64 -1/2 t) (*.f64 (/.f64 x t) 1/2))
(*.f64 -1/2 (-.f64 (/.f64 z t) (/.f64 x t)))
(*.f64 (/.f64 1/2 t) (-.f64 x z))
(*.f64 -1/2 (/.f64 z t))
(/.f64 (*.f64 -1/2 z) t)
(/.f64 -1/2 (/.f64 t z))
(*.f64 (/.f64 z t) -1/2)
(*.f64 z (/.f64 -1/2 t))
(/.f64 (*.f64 z -1/2) t)
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t)))
(fma.f64 -1/2 (/.f64 z t) (*.f64 (/.f64 x t) 1/2))
(fma.f64 (/.f64 z t) -1/2 (*.f64 (/.f64 x t) 1/2))
(fma.f64 z (/.f64 -1/2 t) (*.f64 (/.f64 x t) 1/2))
(*.f64 -1/2 (-.f64 (/.f64 z t) (/.f64 x t)))
(*.f64 (/.f64 1/2 t) (-.f64 x z))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t)))
(fma.f64 -1/2 (/.f64 z t) (*.f64 (/.f64 x t) 1/2))
(fma.f64 (/.f64 z t) -1/2 (*.f64 (/.f64 x t) 1/2))
(fma.f64 z (/.f64 -1/2 t) (*.f64 (/.f64 x t) 1/2))
(*.f64 -1/2 (-.f64 (/.f64 z t) (/.f64 x t)))
(*.f64 (/.f64 1/2 t) (-.f64 x z))
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t)))
(fma.f64 -1/2 (/.f64 z t) (*.f64 (/.f64 x t) 1/2))
(fma.f64 (/.f64 z t) -1/2 (*.f64 (/.f64 x t) 1/2))
(fma.f64 z (/.f64 -1/2 t) (*.f64 (/.f64 x t) 1/2))
(*.f64 -1/2 (-.f64 (/.f64 z t) (/.f64 x t)))
(*.f64 (/.f64 1/2 t) (-.f64 x z))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.8b
(/.f64 1/2 (/.f64 t x))
Compiler

Compiled 15 to 8 computations (46.7% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite46.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
699×pow1_binary64
652×add-log-exp_binary64
652×log1p-expm1-u_binary64
652×expm1-log1p-u_binary64
639×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11347
217707
Stop Event
1×node limit
Counts
1 → 26
Calls
Call 1
Inputs
(/.f64 1/2 (/.f64 t x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/2 (/.f64 x t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 x t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1/2 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 x t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/2 (/.f64 x t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x t))) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x t))) 2) (cbrt.f64 (*.f64 1/2 (/.f64 x t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x t))) (sqrt.f64 (*.f64 1/2 (/.f64 x t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 1 (/.f64 (neg.f64 t) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x t) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 t) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (neg.f64 t)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 t) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 t) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 t) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (/.f64 x t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 t x) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/4 (pow.f64 (/.f64 t x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/2) (/.f64 x t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 x t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 x t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 x t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/2 (/.f64 x t))))))))

simplify11.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
3×*-commutative_binary64
2×associate-/l*_binary64
1×associate-*r/_binary64
1×associate-*l/_binary64
1×associate-/r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06168
19168
213168
317168
418168
Stop Event
1×saturated
Counts
50 → 26
Calls
Call 1
Inputs
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
Outputs
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))

localize7.0ms (0.1%)

Compiler

Compiled 15 to 10 computations (33.3% saved)

eval94.0ms (0.8%)

Compiler

Compiled 6874 to 2896 computations (57.9% saved)

prune50.0ms (0.4%)

Pruning

13 alts after pruning (0 fresh and 13 done)

PrunedKeptTotal
New2540254
Fresh000
Picked011
Done01212
Total25413267
Error
0b
Counts
267 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
✓17.9b
(/.f64 1/2 (/.f64 t (+.f64 y x)))
✓0.1b
(-.f64 (/.f64 (+.f64 x y) (+.f64 t t)) (*.f64 z (/.f64 1/2 t)))
✓22.1b
(*.f64 1/2 (/.f64 (-.f64 x z) t))
✓43.1b
(*.f64 z (/.f64 -1/2 t))
✓21.3b
(*.f64 1/2 (/.f64 (-.f64 y z) t))
✓38.3b
(/.f64 (*.f64 y 1/2) t)
✓43.1b
(*.f64 -1/2 (/.f64 z t))
✓39.2b
(/.f64 (*.f64 1/2 x) t)
✓39.3b
(/.f64 1/2 (/.f64 t x))
✓17.6b
(*.f64 1/2 (/.f64 (+.f64 y x) t))
✓43.2b
(/.f64 -1/2 (/.f64 t z))
✓38.4b
(*.f64 y (/.f64 1/2 t))
✓39.3b
(*.f64 x (/.f64 1/2 t))
Compiler

Compiled 133 to 99 computations (25.6% saved)

regimes88.0ms (0.8%)

Counts
18 → 1
Calls
Call 1
Inputs
(/.f64 (*.f64 y 1/2) t)
(/.f64 1/2 (/.f64 t x))
(*.f64 x (/.f64 1/2 t))
(/.f64 (*.f64 1/2 x) t)
(/.f64 -1/2 (/.f64 t z))
(*.f64 y (/.f64 1/2 t))
(*.f64 z (/.f64 -1/2 t))
(*.f64 1/2 (/.f64 x t))
(/.f64 (*.f64 1/2 y) t)
(*.f64 -1/2 (/.f64 z t))
(/.f64 1/2 (/.f64 t (+.f64 y x)))
(*.f64 1/2 (/.f64 (-.f64 x z) t))
(*.f64 1/2 (/.f64 (-.f64 y z) t))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 (+.f64 y x) (/.f64 1/2 t))
(*.f64 (+.f64 x (-.f64 y z)) (/.f64 1/2 t))
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))
(-.f64 (/.f64 (+.f64 x y) (+.f64 t t)) (*.f64 z (/.f64 1/2 t)))
Outputs
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))
Calls

8 calls:

12.0ms
(-.f64 (+.f64 x y) z)
10.0ms
x
10.0ms
z
10.0ms
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))
10.0ms
y
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1z
0.0b1t
0.0b1(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))
0.0b1(-.f64 (+.f64 x y) z)
0.0b1(+.f64 x y)
0.0b1(*.f64 t 2)
Compiler

Compiled 176 to 109 computations (38.1% saved)

regimes44.0ms (0.4%)

Counts
16 → 1
Calls
Call 1
Inputs
(/.f64 (*.f64 y 1/2) t)
(/.f64 1/2 (/.f64 t x))
(*.f64 x (/.f64 1/2 t))
(/.f64 (*.f64 1/2 x) t)
(/.f64 -1/2 (/.f64 t z))
(*.f64 y (/.f64 1/2 t))
(*.f64 z (/.f64 -1/2 t))
(*.f64 1/2 (/.f64 x t))
(/.f64 (*.f64 1/2 y) t)
(*.f64 -1/2 (/.f64 z t))
(/.f64 1/2 (/.f64 t (+.f64 y x)))
(*.f64 1/2 (/.f64 (-.f64 x z) t))
(*.f64 1/2 (/.f64 (-.f64 y z) t))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 (+.f64 y x) (/.f64 1/2 t))
(*.f64 (+.f64 x (-.f64 y z)) (/.f64 1/2 t))
Outputs
(*.f64 (+.f64 x (-.f64 y z)) (/.f64 1/2 t))
Calls

4 calls:

10.0ms
z
10.0ms
x
10.0ms
t
9.0ms
y
Results
ErrorSegmentsBranch
0.3b1x
0.3b1y
0.3b1z
0.3b1t
Compiler

Compiled 118 to 72 computations (39% saved)

regimes145.0ms (1.3%)

Counts
15 → 4
Calls
Call 1
Inputs
(/.f64 (*.f64 y 1/2) t)
(/.f64 1/2 (/.f64 t x))
(*.f64 x (/.f64 1/2 t))
(/.f64 (*.f64 1/2 x) t)
(/.f64 -1/2 (/.f64 t z))
(*.f64 y (/.f64 1/2 t))
(*.f64 z (/.f64 -1/2 t))
(*.f64 1/2 (/.f64 x t))
(/.f64 (*.f64 1/2 y) t)
(*.f64 -1/2 (/.f64 z t))
(/.f64 1/2 (/.f64 t (+.f64 y x)))
(*.f64 1/2 (/.f64 (-.f64 x z) t))
(*.f64 1/2 (/.f64 (-.f64 y z) t))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 (+.f64 y x) (/.f64 1/2 t))
Outputs
(*.f64 1/2 (/.f64 (-.f64 x z) t))
(*.f64 1/2 (/.f64 (-.f64 y z) t))
(*.f64 1/2 (/.f64 (-.f64 x z) t))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
Calls

4 calls:

46.0ms
t
43.0ms
y
29.0ms
z
23.0ms
x
Results
ErrorSegmentsBranch
5.0b2x
4.8b4y
6.7b3z
12.3b6t
Compiler

Compiled 109 to 68 computations (37.6% saved)

bsearch98.0ms (0.9%)

Algorithm
3×binary-search
Steps
TimeLeftRight
35.0ms
454228894.6735435
42766307271896.49
35.0ms
1.345850346240369e-39
1.1897524154106484e-37
27.0ms
1.4009320111895204e-87
2.3274547172345293e-87
Compiler

Compiled 20 to 15 computations (25% saved)

regimes264.0ms (2.4%)

Counts
13 → 4
Calls
Call 1
Inputs
(/.f64 (*.f64 y 1/2) t)
(/.f64 1/2 (/.f64 t x))
(*.f64 x (/.f64 1/2 t))
(/.f64 (*.f64 1/2 x) t)
(/.f64 -1/2 (/.f64 t z))
(*.f64 y (/.f64 1/2 t))
(*.f64 z (/.f64 -1/2 t))
(*.f64 1/2 (/.f64 x t))
(/.f64 (*.f64 1/2 y) t)
(*.f64 -1/2 (/.f64 z t))
(/.f64 1/2 (/.f64 t (+.f64 y x)))
(*.f64 1/2 (/.f64 (-.f64 x z) t))
(*.f64 1/2 (/.f64 (-.f64 y z) t))
Outputs
(*.f64 1/2 (/.f64 (-.f64 x z) t))
(*.f64 1/2 (/.f64 (-.f64 y z) t))
(*.f64 1/2 (/.f64 (-.f64 x z) t))
(/.f64 1/2 (/.f64 t (+.f64 y x)))
Calls

4 calls:

85.0ms
t
72.0ms
y
57.0ms
z
43.0ms
x
Results
ErrorSegmentsBranch
5.0b2x
4.9b4y
6.9b3z
12.5b6t
Compiler

Compiled 95 to 62 computations (34.7% saved)

bsearch242.0ms (2.2%)

Algorithm
3×binary-search
Steps
TimeLeftRight
66.0ms
454228894.6735435
42766307271896.49
137.0ms
1.345850346240369e-39
1.1897524154106484e-37
39.0ms
1.4009320111895204e-87
2.3274547172345293e-87
Compiler

Compiled 20 to 15 computations (25% saved)

regimes265.0ms (2.4%)

Counts
12 → 2
Calls
Call 1
Inputs
(/.f64 (*.f64 y 1/2) t)
(/.f64 1/2 (/.f64 t x))
(*.f64 x (/.f64 1/2 t))
(/.f64 (*.f64 1/2 x) t)
(/.f64 -1/2 (/.f64 t z))
(*.f64 y (/.f64 1/2 t))
(*.f64 z (/.f64 -1/2 t))
(*.f64 1/2 (/.f64 x t))
(/.f64 (*.f64 1/2 y) t)
(*.f64 -1/2 (/.f64 z t))
(/.f64 1/2 (/.f64 t (+.f64 y x)))
(*.f64 1/2 (/.f64 (-.f64 x z) t))
Outputs
(*.f64 1/2 (/.f64 (-.f64 x z) t))
(/.f64 1/2 (/.f64 t (+.f64 y x)))
Calls

4 calls:

84.0ms
t
75.0ms
z
70.0ms
x
29.0ms
y
Results
ErrorSegmentsBranch
12.5b4x
6.1b2y
7.0b3z
12.6b7t
Compiler

Compiled 88 to 58 computations (34.1% saved)

bsearch39.0ms (0.3%)

Algorithm
1×binary-search
Steps
TimeLeftRight
38.0ms
454228894.6735435
42766307271896.49
Compiler

Compiled 20 to 15 computations (25% saved)

regimes167.0ms (1.5%)

Counts
11 → 3
Calls
Call 1
Inputs
(/.f64 (*.f64 y 1/2) t)
(/.f64 1/2 (/.f64 t x))
(*.f64 x (/.f64 1/2 t))
(/.f64 (*.f64 1/2 x) t)
(/.f64 -1/2 (/.f64 t z))
(*.f64 y (/.f64 1/2 t))
(*.f64 z (/.f64 -1/2 t))
(*.f64 1/2 (/.f64 x t))
(/.f64 (*.f64 1/2 y) t)
(*.f64 -1/2 (/.f64 z t))
(/.f64 1/2 (/.f64 t (+.f64 y x)))
Outputs
(*.f64 -1/2 (/.f64 z t))
(/.f64 1/2 (/.f64 t (+.f64 y x)))
(*.f64 -1/2 (/.f64 z t))
Calls

4 calls:

52.0ms
x
52.0ms
y
41.0ms
z
15.0ms
t
Results
ErrorSegmentsBranch
16.3b3x
15.1b3y
9.8b3z
17.9b1t
Compiler

Compiled 81 to 54 computations (33.3% saved)

bsearch467.0ms (4.2%)

Algorithm
2×binary-search
Steps
TimeLeftRight
177.0ms
1.2335745980828899e+186
1.749655696068832e+188
291.0ms
-3.7004512932828646e+120
-1.8347616227521834e+116
Compiler

Compiled 350 to 270 computations (22.9% saved)

regimes284.0ms (2.5%)

Counts
10 → 9
Calls
Call 1
Inputs
(/.f64 (*.f64 y 1/2) t)
(/.f64 1/2 (/.f64 t x))
(*.f64 x (/.f64 1/2 t))
(/.f64 (*.f64 1/2 x) t)
(/.f64 -1/2 (/.f64 t z))
(*.f64 y (/.f64 1/2 t))
(*.f64 z (/.f64 -1/2 t))
(*.f64 1/2 (/.f64 x t))
(/.f64 (*.f64 1/2 y) t)
(*.f64 -1/2 (/.f64 z t))
Outputs
(/.f64 (*.f64 1/2 x) t)
(/.f64 (*.f64 y 1/2) t)
(/.f64 -1/2 (/.f64 t z))
(/.f64 (*.f64 y 1/2) t)
(/.f64 (*.f64 1/2 x) t)
(*.f64 -1/2 (/.f64 z t))
(/.f64 (*.f64 y 1/2) t)
(*.f64 -1/2 (/.f64 z t))
(/.f64 (*.f64 y 1/2) t)
Calls

4 calls:

105.0ms
z
91.0ms
x
66.0ms
t
17.0ms
y
Results
ErrorSegmentsBranch
18.3b9x
20.0b3y
21.9b11z
28.8b10t
Compiler

Compiled 74 to 50 computations (32.4% saved)

bsearch308.0ms (2.7%)

Algorithm
8×binary-search
Steps
TimeLeftRight
39.0ms
-6.061861310051913e-275
-1.683347629506373e-277
39.0ms
-6.620119436775503e-158
-3.023882471795159e-159
41.0ms
-1.0829898245218201e-110
-5.656939019636949e-129
40.0ms
-2.389299769456452e-50
-1.1339410577256679e-54
39.0ms
-1.2099350274059515e-42
-2.144033290778625e-46
37.0ms
-3.6659128887533902e-34
-1.1273090381852977e-35
35.0ms
-0.0011620768576852626
-0.0006372376978467148
37.0ms
-4.361299013214296e+31
-1.8965097167747726e+31
Compiler

Compiled 20 to 15 computations (25% saved)

regimes584.0ms (5.2%)

Counts
9 → 9
Calls
Call 1
Inputs
(/.f64 (*.f64 y 1/2) t)
(/.f64 1/2 (/.f64 t x))
(*.f64 x (/.f64 1/2 t))
(/.f64 (*.f64 1/2 x) t)
(/.f64 -1/2 (/.f64 t z))
(*.f64 y (/.f64 1/2 t))
(*.f64 z (/.f64 -1/2 t))
(*.f64 1/2 (/.f64 x t))
(/.f64 (*.f64 1/2 y) t)
Outputs
(/.f64 (*.f64 1/2 x) t)
(/.f64 (*.f64 y 1/2) t)
(/.f64 -1/2 (/.f64 t z))
(/.f64 (*.f64 y 1/2) t)
(/.f64 (*.f64 1/2 x) t)
(*.f64 z (/.f64 -1/2 t))
(/.f64 (*.f64 y 1/2) t)
(*.f64 z (/.f64 -1/2 t))
(/.f64 (*.f64 y 1/2) t)
Calls

4 calls:

335.0ms
t
108.0ms
z
98.0ms
x
38.0ms
y
Results
ErrorSegmentsBranch
18.3b9x
20.0b3y
21.9b11z
28.9b10t
Compiler

Compiled 69 to 47 computations (31.9% saved)

bsearch268.0ms (2.4%)

Algorithm
8×binary-search
Steps
TimeLeftRight
32.0ms
-6.061861310051913e-275
-1.683347629506373e-277
32.0ms
-6.620119436775503e-158
-3.023882471795159e-159
32.0ms
-1.0829898245218201e-110
-5.656939019636949e-129
32.0ms
-2.389299769456452e-50
-1.1339410577256679e-54
33.0ms
-1.2099350274059515e-42
-2.144033290778625e-46
33.0ms
-3.6659128887533902e-34
-1.1273090381852977e-35
41.0ms
-0.0011620768576852626
-0.0006372376978467148
34.0ms
-4.361299013214296e+31
-1.8965097167747726e+31
Compiler

Compiled 20 to 15 computations (25% saved)

regimes192.0ms (1.7%)

Counts
6 → 9
Calls
Call 1
Inputs
(/.f64 (*.f64 y 1/2) t)
(/.f64 1/2 (/.f64 t x))
(*.f64 x (/.f64 1/2 t))
(/.f64 (*.f64 1/2 x) t)
(/.f64 -1/2 (/.f64 t z))
(*.f64 y (/.f64 1/2 t))
Outputs
(/.f64 (*.f64 1/2 x) t)
(/.f64 (*.f64 y 1/2) t)
(/.f64 -1/2 (/.f64 t z))
(/.f64 (*.f64 y 1/2) t)
(/.f64 (*.f64 1/2 x) t)
(/.f64 -1/2 (/.f64 t z))
(/.f64 (*.f64 y 1/2) t)
(/.f64 -1/2 (/.f64 t z))
(/.f64 (*.f64 y 1/2) t)
Calls

4 calls:

72.0ms
t
61.0ms
z
43.0ms
x
14.0ms
y
Results
ErrorSegmentsBranch
18.3b9x
20.0b3y
21.9b11z
28.9b10t
Compiler

Compiled 54 to 38 computations (29.6% saved)

bsearch184.0ms (1.6%)

Algorithm
8×binary-search
Steps
TimeLeftRight
33.0ms
-6.061861310051913e-275
-1.683347629506373e-277
21.0ms
-6.620119436775503e-158
-3.023882471795159e-159
22.0ms
-8.747932259324724e-69
-5.6165649517160465e-70
22.0ms
-2.389299769456452e-50
-1.1339410577256679e-54
22.0ms
-1.2099350274059515e-42
-2.144033290778625e-46
20.0ms
-3.6659128887533902e-34
-1.1273090381852977e-35
21.0ms
-0.0011620768576852626
-0.0006372376978467148
23.0ms
-4.361299013214296e+31
-1.8965097167747726e+31
Compiler

Compiled 20 to 15 computations (25% saved)

regimes199.0ms (1.8%)

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

4 calls:

83.0ms
z
57.0ms
t
28.0ms
y
27.0ms
x
Results
ErrorSegmentsBranch
22.6b2x
23.7b2y
31.4b9z
32.3b7t
Compiler

Compiled 44 to 32 computations (27.3% saved)

bsearch43.0ms (0.4%)

Algorithm
1×binary-search
Steps
TimeLeftRight
43.0ms
-4.361299013214296e+31
-1.8965097167747726e+31
Compiler

Compiled 20 to 15 computations (25% saved)

regimes166.0ms (1.5%)

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

4 calls:

69.0ms
z
52.0ms
t
22.0ms
y
21.0ms
x
Results
ErrorSegmentsBranch
22.6b2x
23.7b2y
31.4b9z
32.3b7t
Compiler

Compiled 39 to 29 computations (25.6% saved)

bsearch37.0ms (0.3%)

Algorithm
1×binary-search
Steps
TimeLeftRight
37.0ms
-4.361299013214296e+31
-1.8965097167747726e+31
Compiler

Compiled 20 to 15 computations (25% saved)

regimes145.0ms (1.3%)

Accuracy

Total -36.9b remaining (-163%)

Threshold costs -36.9b (-163%)

Counts
2 → 2
Calls
Call 1
Inputs
(/.f64 (*.f64 y 1/2) t)
(/.f64 1/2 (/.f64 t x))
Outputs
(/.f64 1/2 (/.f64 t x))
(/.f64 (*.f64 y 1/2) t)
Calls

4 calls:

60.0ms
z
44.0ms
t
20.0ms
y
19.0ms
x
Results
ErrorSegmentsBranch
22.7b2x
23.7b2y
31.5b9z
32.3b7t
Compiler

Compiled 34 to 26 computations (23.5% saved)

bsearch40.0ms (0.4%)

Algorithm
1×binary-search
Steps
TimeLeftRight
39.0ms
-4.361299013214296e+31
-1.8965097167747726e+31
Compiler

Compiled 20 to 15 computations (25% saved)

simplify54.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0103604
1120604
2127604
3129604
4130604
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))
(*.f64 (+.f64 x (-.f64 y z)) (/.f64 1/2 t))
(if (<=.f64 y 3137730106210305/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776) (*.f64 1/2 (/.f64 (-.f64 x z) t)) (if (<=.f64 y 1031254827143089/766247770432944429179173513575154591809369561091801088) (*.f64 1/2 (/.f64 (-.f64 y z) t)) (if (<=.f64 y 7620696279379289/16777216) (*.f64 1/2 (/.f64 (-.f64 x z) t)) (*.f64 1/2 (/.f64 (+.f64 y x) t)))))
(if (<=.f64 y 3137730106210305/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776) (*.f64 1/2 (/.f64 (-.f64 x z) t)) (if (<=.f64 y 1031254827143089/766247770432944429179173513575154591809369561091801088) (*.f64 1/2 (/.f64 (-.f64 y z) t)) (if (<=.f64 y 7620696279379289/16777216) (*.f64 1/2 (/.f64 (-.f64 x z) t)) (/.f64 1/2 (/.f64 t (+.f64 y x))))))
(if (<=.f64 y 7620696279379289/16777216) (*.f64 1/2 (/.f64 (-.f64 x z) t)) (/.f64 1/2 (/.f64 t (+.f64 y x))))
(if (<=.f64 z -3600000000000000157362347649626275415089788224637924745135632839418893066417627350365529574596453590119049181664445988864) (*.f64 -1/2 (/.f64 z t)) (if (<=.f64 z 169999999999999997742565484631024811805509472733609125944912250756027174393931404784748877804254950130922978993427832873480076668829615012384799194162347082382391465798598862373855030149120) (/.f64 1/2 (/.f64 t (+.f64 y x))) (*.f64 -1/2 (/.f64 z t))))
(if (<=.f64 x -43612990132142957586024195162112) (/.f64 (*.f64 1/2 x) t) (if (<=.f64 x -5359133596925159/4611686018427387904) (/.f64 (*.f64 y 1/2) t) (if (<=.f64 x -267886884461277/730750818665451459101842416358141509827966271488) (/.f64 -1/2 (/.f64 t z)) (if (<=.f64 x -7594885260235029/6277101735386680763835789423207666416102355444464034512896) (/.f64 (*.f64 y 1/2) t) (if (<=.f64 x -2516226342046143/105312291668557186697918027683670432318895095400549111254310977536) (/.f64 (*.f64 1/2 x) t) (if (<=.f64 x -229093404044561/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192) (*.f64 -1/2 (/.f64 z t)) (if (<=.f64 x -8186783990487939/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568) (/.f64 (*.f64 y 1/2) t) (if (<=.f64 x -4725979356800997/77962512091199992642827059103001506487009814860760060214943251657703589526131408819724920527056082073802439329851269345467673358921624752372623898370501227356250221599651784238966317243920429186822396747833747030989484783403158999565970908923751724902621910424834220376654628719935312887808) (*.f64 -1/2 (/.f64 z t)) (/.f64 (*.f64 y 1/2) t)))))))))
(if (<=.f64 x -43612990132142957586024195162112) (/.f64 (*.f64 1/2 x) t) (if (<=.f64 x -5359133596925159/4611686018427387904) (/.f64 (*.f64 y 1/2) t) (if (<=.f64 x -267886884461277/730750818665451459101842416358141509827966271488) (/.f64 -1/2 (/.f64 t z)) (if (<=.f64 x -7594885260235029/6277101735386680763835789423207666416102355444464034512896) (/.f64 (*.f64 y 1/2) t) (if (<=.f64 x -2516226342046143/105312291668557186697918027683670432318895095400549111254310977536) (/.f64 (*.f64 1/2 x) t) (if (<=.f64 x -229093404044561/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192) (*.f64 z (/.f64 -1/2 t)) (if (<=.f64 x -8186783990487939/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568) (/.f64 (*.f64 y 1/2) t) (if (<=.f64 x -4725979356800997/77962512091199992642827059103001506487009814860760060214943251657703589526131408819724920527056082073802439329851269345467673358921624752372623898370501227356250221599651784238966317243920429186822396747833747030989484783403158999565970908923751724902621910424834220376654628719935312887808) (*.f64 z (/.f64 -1/2 t)) (/.f64 (*.f64 y 1/2) t)))))))))
(if (<=.f64 x -43612990132142957586024195162112) (/.f64 (*.f64 1/2 x) t) (if (<=.f64 x -5359133596925159/4611686018427387904) (/.f64 (*.f64 y 1/2) t) (if (<=.f64 x -267886884461277/730750818665451459101842416358141509827966271488) (/.f64 -1/2 (/.f64 t z)) (if (<=.f64 x -7594885260235029/6277101735386680763835789423207666416102355444464034512896) (/.f64 (*.f64 y 1/2) t) (if (<=.f64 x -2516226342046143/105312291668557186697918027683670432318895095400549111254310977536) (/.f64 (*.f64 1/2 x) t) (if (<=.f64 x -1062145991968005/121416805764108066932466369176469931665150427440758720078238275608681517825325531136) (/.f64 -1/2 (/.f64 t z)) (if (<=.f64 x -8186783990487939/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568) (/.f64 (*.f64 y 1/2) t) (if (<=.f64 x -4725979356800997/77962512091199992642827059103001506487009814860760060214943251657703589526131408819724920527056082073802439329851269345467673358921624752372623898370501227356250221599651784238966317243920429186822396747833747030989484783403158999565970908923751724902621910424834220376654628719935312887808) (/.f64 -1/2 (/.f64 t z)) (/.f64 (*.f64 y 1/2) t)))))))))
(if (<=.f64 x -43612990132142957586024195162112) (/.f64 (*.f64 1/2 x) t) (/.f64 (*.f64 y 1/2) t))
(if (<=.f64 x -43612990132142957586024195162112) (*.f64 x (/.f64 1/2 t)) (/.f64 (*.f64 y 1/2) t))
(if (<=.f64 x -43612990132142957586024195162112) (/.f64 1/2 (/.f64 t x)) (/.f64 (*.f64 y 1/2) t))
(/.f64 (*.f64 y 1/2) t)
Outputs
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))
(*.f64 (+.f64 x (-.f64 y z)) (/.f64 1/2 t))
(if (<=.f64 y 3137730106210305/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776) (*.f64 1/2 (/.f64 (-.f64 x z) t)) (if (<=.f64 y 1031254827143089/766247770432944429179173513575154591809369561091801088) (*.f64 1/2 (/.f64 (-.f64 y z) t)) (if (<=.f64 y 7620696279379289/16777216) (*.f64 1/2 (/.f64 (-.f64 x z) t)) (*.f64 1/2 (/.f64 (+.f64 y x) t)))))
(if (<=.f64 y 3137730106210305/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776) (*.f64 1/2 (/.f64 (-.f64 x z) t)) (if (<=.f64 y 1031254827143089/766247770432944429179173513575154591809369561091801088) (*.f64 1/2 (/.f64 (-.f64 y z) t)) (if (<=.f64 y 7620696279379289/16777216) (*.f64 1/2 (/.f64 (-.f64 x z) t)) (*.f64 1/2 (/.f64 (+.f64 x y) t)))))
(if (<=.f64 y 3137730106210305/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776) (*.f64 1/2 (/.f64 (-.f64 x z) t)) (if (<=.f64 y 1031254827143089/766247770432944429179173513575154591809369561091801088) (*.f64 1/2 (/.f64 (-.f64 y z) t)) (if (<=.f64 y 7620696279379289/16777216) (*.f64 1/2 (/.f64 (-.f64 x z) t)) (/.f64 1/2 (/.f64 t (+.f64 y x))))))
(if (<=.f64 y 3137730106210305/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776) (*.f64 1/2 (/.f64 (-.f64 x z) t)) (if (<=.f64 y 1031254827143089/766247770432944429179173513575154591809369561091801088) (*.f64 1/2 (/.f64 (-.f64 y z) t)) (if (<=.f64 y 7620696279379289/16777216) (*.f64 1/2 (/.f64 (-.f64 x z) t)) (/.f64 1/2 (/.f64 t (+.f64 x y))))))
(if (<=.f64 y 7620696279379289/16777216) (*.f64 1/2 (/.f64 (-.f64 x z) t)) (/.f64 1/2 (/.f64 t (+.f64 y x))))
(if (<=.f64 y 7620696279379289/16777216) (*.f64 1/2 (/.f64 (-.f64 x z) t)) (/.f64 1/2 (/.f64 t (+.f64 x y))))
(if (<=.f64 z -3600000000000000157362347649626275415089788224637924745135632839418893066417627350365529574596453590119049181664445988864) (*.f64 -1/2 (/.f64 z t)) (if (<=.f64 z 169999999999999997742565484631024811805509472733609125944912250756027174393931404784748877804254950130922978993427832873480076668829615012384799194162347082382391465798598862373855030149120) (/.f64 1/2 (/.f64 t (+.f64 y x))) (*.f64 -1/2 (/.f64 z t))))
(if (<=.f64 z -3600000000000000157362347649626275415089788224637924745135632839418893066417627350365529574596453590119049181664445988864) (*.f64 -1/2 (/.f64 z t)) (if (<=.f64 z 169999999999999997742565484631024811805509472733609125944912250756027174393931404784748877804254950130922978993427832873480076668829615012384799194162347082382391465798598862373855030149120) (/.f64 1/2 (/.f64 t (+.f64 x y))) (*.f64 -1/2 (/.f64 z t))))
(if (<=.f64 x -43612990132142957586024195162112) (/.f64 (*.f64 1/2 x) t) (if (<=.f64 x -5359133596925159/4611686018427387904) (/.f64 (*.f64 y 1/2) t) (if (<=.f64 x -267886884461277/730750818665451459101842416358141509827966271488) (/.f64 -1/2 (/.f64 t z)) (if (<=.f64 x -7594885260235029/6277101735386680763835789423207666416102355444464034512896) (/.f64 (*.f64 y 1/2) t) (if (<=.f64 x -2516226342046143/105312291668557186697918027683670432318895095400549111254310977536) (/.f64 (*.f64 1/2 x) t) (if (<=.f64 x -229093404044561/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192) (*.f64 -1/2 (/.f64 z t)) (if (<=.f64 x -8186783990487939/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568) (/.f64 (*.f64 y 1/2) t) (if (<=.f64 x -4725979356800997/77962512091199992642827059103001506487009814860760060214943251657703589526131408819724920527056082073802439329851269345467673358921624752372623898370501227356250221599651784238966317243920429186822396747833747030989484783403158999565970908923751724902621910424834220376654628719935312887808) (*.f64 -1/2 (/.f64 z t)) (/.f64 (*.f64 y 1/2) t)))))))))
(if (<=.f64 x -43612990132142957586024195162112) (/.f64 (*.f64 x 1/2) t) (if (<=.f64 x -5359133596925159/4611686018427387904) (/.f64 (*.f64 y 1/2) t) (if (<=.f64 x -267886884461277/730750818665451459101842416358141509827966271488) (/.f64 -1/2 (/.f64 t z)) (if (<=.f64 x -7594885260235029/6277101735386680763835789423207666416102355444464034512896) (/.f64 (*.f64 y 1/2) t) (if (<=.f64 x -2516226342046143/105312291668557186697918027683670432318895095400549111254310977536) (/.f64 (*.f64 x 1/2) t) (if (<=.f64 x -229093404044561/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192) (*.f64 -1/2 (/.f64 z t)) (if (<=.f64 x -8186783990487939/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568) (/.f64 (*.f64 y 1/2) t) (if (<=.f64 x -4725979356800997/77962512091199992642827059103001506487009814860760060214943251657703589526131408819724920527056082073802439329851269345467673358921624752372623898370501227356250221599651784238966317243920429186822396747833747030989484783403158999565970908923751724902621910424834220376654628719935312887808) (*.f64 -1/2 (/.f64 z t)) (/.f64 (*.f64 y 1/2) t)))))))))
(if (<=.f64 x -43612990132142957586024195162112) (/.f64 (*.f64 1/2 x) t) (if (<=.f64 x -5359133596925159/4611686018427387904) (/.f64 (*.f64 y 1/2) t) (if (<=.f64 x -267886884461277/730750818665451459101842416358141509827966271488) (/.f64 -1/2 (/.f64 t z)) (if (<=.f64 x -7594885260235029/6277101735386680763835789423207666416102355444464034512896) (/.f64 (*.f64 y 1/2) t) (if (<=.f64 x -2516226342046143/105312291668557186697918027683670432318895095400549111254310977536) (/.f64 (*.f64 1/2 x) t) (if (<=.f64 x -229093404044561/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192) (*.f64 z (/.f64 -1/2 t)) (if (<=.f64 x -8186783990487939/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568) (/.f64 (*.f64 y 1/2) t) (if (<=.f64 x -4725979356800997/77962512091199992642827059103001506487009814860760060214943251657703589526131408819724920527056082073802439329851269345467673358921624752372623898370501227356250221599651784238966317243920429186822396747833747030989484783403158999565970908923751724902621910424834220376654628719935312887808) (*.f64 z (/.f64 -1/2 t)) (/.f64 (*.f64 y 1/2) t)))))))))
(if (<=.f64 x -43612990132142957586024195162112) (/.f64 (*.f64 x 1/2) t) (if (<=.f64 x -5359133596925159/4611686018427387904) (/.f64 (*.f64 y 1/2) t) (if (<=.f64 x -267886884461277/730750818665451459101842416358141509827966271488) (/.f64 -1/2 (/.f64 t z)) (if (<=.f64 x -7594885260235029/6277101735386680763835789423207666416102355444464034512896) (/.f64 (*.f64 y 1/2) t) (if (<=.f64 x -2516226342046143/105312291668557186697918027683670432318895095400549111254310977536) (/.f64 (*.f64 x 1/2) t) (if (<=.f64 x -229093404044561/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192) (*.f64 z (/.f64 -1/2 t)) (if (<=.f64 x -8186783990487939/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568) (/.f64 (*.f64 y 1/2) t) (if (<=.f64 x -4725979356800997/77962512091199992642827059103001506487009814860760060214943251657703589526131408819724920527056082073802439329851269345467673358921624752372623898370501227356250221599651784238966317243920429186822396747833747030989484783403158999565970908923751724902621910424834220376654628719935312887808) (*.f64 z (/.f64 -1/2 t)) (/.f64 (*.f64 y 1/2) t)))))))))
(if (<=.f64 x -43612990132142957586024195162112) (/.f64 (*.f64 1/2 x) t) (if (<=.f64 x -5359133596925159/4611686018427387904) (/.f64 (*.f64 y 1/2) t) (if (<=.f64 x -267886884461277/730750818665451459101842416358141509827966271488) (/.f64 -1/2 (/.f64 t z)) (if (<=.f64 x -7594885260235029/6277101735386680763835789423207666416102355444464034512896) (/.f64 (*.f64 y 1/2) t) (if (<=.f64 x -2516226342046143/105312291668557186697918027683670432318895095400549111254310977536) (/.f64 (*.f64 1/2 x) t) (if (<=.f64 x -1062145991968005/121416805764108066932466369176469931665150427440758720078238275608681517825325531136) (/.f64 -1/2 (/.f64 t z)) (if (<=.f64 x -8186783990487939/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568) (/.f64 (*.f64 y 1/2) t) (if (<=.f64 x -4725979356800997/77962512091199992642827059103001506487009814860760060214943251657703589526131408819724920527056082073802439329851269345467673358921624752372623898370501227356250221599651784238966317243920429186822396747833747030989484783403158999565970908923751724902621910424834220376654628719935312887808) (/.f64 -1/2 (/.f64 t z)) (/.f64 (*.f64 y 1/2) t)))))))))
(if (<=.f64 x -43612990132142957586024195162112) (/.f64 (*.f64 x 1/2) t) (if (<=.f64 x -5359133596925159/4611686018427387904) (/.f64 (*.f64 y 1/2) t) (if (<=.f64 x -267886884461277/730750818665451459101842416358141509827966271488) (/.f64 -1/2 (/.f64 t z)) (if (<=.f64 x -7594885260235029/6277101735386680763835789423207666416102355444464034512896) (/.f64 (*.f64 y 1/2) t) (if (<=.f64 x -2516226342046143/105312291668557186697918027683670432318895095400549111254310977536) (/.f64 (*.f64 x 1/2) t) (if (<=.f64 x -1062145991968005/121416805764108066932466369176469931665150427440758720078238275608681517825325531136) (/.f64 -1/2 (/.f64 t z)) (if (<=.f64 x -8186783990487939/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568) (/.f64 (*.f64 y 1/2) t) (if (<=.f64 x -4725979356800997/77962512091199992642827059103001506487009814860760060214943251657703589526131408819724920527056082073802439329851269345467673358921624752372623898370501227356250221599651784238966317243920429186822396747833747030989484783403158999565970908923751724902621910424834220376654628719935312887808) (/.f64 -1/2 (/.f64 t z)) (/.f64 (*.f64 y 1/2) t)))))))))
(if (<=.f64 x -43612990132142957586024195162112) (/.f64 (*.f64 1/2 x) t) (/.f64 (*.f64 y 1/2) t))
(if (<=.f64 x -43612990132142957586024195162112) (/.f64 (*.f64 x 1/2) t) (/.f64 (*.f64 y 1/2) t))
(if (<=.f64 x -43612990132142957586024195162112) (*.f64 x (/.f64 1/2 t)) (/.f64 (*.f64 y 1/2) t))
(if (<=.f64 x -43612990132142957586024195162112) (/.f64 1/2 (/.f64 t x)) (/.f64 (*.f64 y 1/2) t))
(/.f64 (*.f64 y 1/2) t)
Compiler

Compiled 471 to 314 computations (33.3% saved)

soundness0.0ms (0%)

end883.0ms (7.9%)

Remove

(sort x y)

Compiler

Compiled 449 to 268 computations (40.3% saved)

Profiling

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