Details

Time bar (total: 18.6s)

analyze355.0ms (1.9%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
6.3%6.2%93.7%0.1%0%0%0%7
15.6%15.6%84.3%0.1%0%0%0%8
28.1%28.1%71.8%0.1%0%0%0%9
30.5%30.4%69.5%0.1%0%0%0%10
38.3%38.2%61.7%0.1%0%0%0%11
39.6%39.6%60.3%0.1%0%0%0%12
Compiler

Compiled 16 to 12 computations (25% saved)

sample2.5s (13.5%)

Results
803.0ms4873×body256valid
801.0ms1162×body2048valid
624.0ms1350×body1024valid
274.0ms869×body512valid
3.0msbody4096valid
Bogosity

preprocess2.9s (15.8%)

Algorithm
egglog
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (tan.f64 (/.f64 y (*.f64 x 2))) (sin.f64 (/.f64 y (*.f64 x 2))))
Outputs
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))
(/.f64 (tan.f64 (/.f64 y (*.f64 x 2))) (sin.f64 (/.f64 y (*.f64 x 2))))
(/.f64 (tan.f64 (/.f64 y (+.f64 x x))) (sin.f64 (/.f64 y (+.f64 x x))))
Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify1.4s (7.7%)

Algorithm
egglog
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
Outputs
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y)))

eval1.0ms (0%)

Compiler

Compiled 28 to 20 computations (28.6% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
36.6b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
36.6b
(/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

localize20.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
6.0b
(/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y)))
30.2b
(sin.f64 (/.f64 (*.f64 x 1/2) y))
30.4b
(tan.f64 (/.f64 (*.f64 x 1/2) y))
Compiler

Compiled 38 to 25 computations (34.2% saved)

series147.0ms (0.8%)

Counts
3 → 36
Calls

18 calls:

TimeVariablePointExpression
2.0ms
y
@inf
(/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y)))
2.0ms
x
@0
(/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y)))
2.0ms
y
@-inf
(/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y)))
2.0ms
y
@-inf
(tan.f64 (/.f64 (*.f64 x 1/2) y))
1.0ms
x
@0
(tan.f64 (/.f64 (*.f64 x 1/2) y))
Compiler

Compiled 16395 to 12890 computations (21.4% saved)

rewrite1.5s (8.2%)

Algorithm
batch-egg-rewrite
Rules
106×egg-rr
97×egg-rr
58×egg-rr
Counts
3 → 261
Calls
Call 1
Inputs
(tan.f64 (/.f64 (*.f64 x 1/2) y))
(sin.f64 (/.f64 (*.f64 x 1/2) y))
(/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y)))
Outputs
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simplify5.0s (27.1%)

Algorithm
egglog
Counts
297 → 397
Calls
Call 1
Inputs
(*.f64 1/2 (/.f64 x y))
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (/.f64 1/2 y) 3)) (*.f64 -1/4 (/.f64 (pow.f64 (/.f64 1/2 y) 2) y))) (pow.f64 x 3)) (*.f64 1/2 (/.f64 x y)))
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (/.f64 1/2 y) 3)) (*.f64 -1/4 (/.f64 (pow.f64 (/.f64 1/2 y) 2) y))) (pow.f64 x 3)) (+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 (pow.f64 x 5) (-.f64 (*.f64 1/120 (pow.f64 (/.f64 1/2 y) 5)) (+.f64 (*.f64 1/48 (/.f64 (pow.f64 (/.f64 1/2 y) 4) y)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (/.f64 1/2 y) 3)) (*.f64 -1/4 (/.f64 (pow.f64 (/.f64 1/2 y) 2) y))) (pow.f64 (/.f64 1/2 y) 2))))))))
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (/.f64 1/2 y) 3)) (*.f64 -1/4 (/.f64 (pow.f64 (/.f64 1/2 y) 2) y))) (pow.f64 x 3)) (+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 (pow.f64 x 7) (-.f64 (*.f64 -1/5040 (pow.f64 (/.f64 1/2 y) 7)) (+.f64 (*.f64 1/24 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (/.f64 1/2 y) 3)) (*.f64 -1/4 (/.f64 (pow.f64 (/.f64 1/2 y) 2) y))) (pow.f64 (/.f64 1/2 y) 4))) (+.f64 (*.f64 -1/1440 (/.f64 (pow.f64 (/.f64 1/2 y) 6) y)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 1/120 (pow.f64 (/.f64 1/2 y) 5)) (+.f64 (*.f64 1/48 (/.f64 (pow.f64 (/.f64 1/2 y) 4) y)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (/.f64 1/2 y) 3)) (*.f64 -1/4 (/.f64 (pow.f64 (/.f64 1/2 y) 2) y))) (pow.f64 (/.f64 1/2 y) 2))))) (pow.f64 (/.f64 1/2 y) 2))))))) (*.f64 (pow.f64 x 5) (-.f64 (*.f64 1/120 (pow.f64 (/.f64 1/2 y) 5)) (+.f64 (*.f64 1/48 (/.f64 (pow.f64 (/.f64 1/2 y) 4) y)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (/.f64 1/2 y) 3)) (*.f64 -1/4 (/.f64 (pow.f64 (/.f64 1/2 y) 2) y))) (pow.f64 (/.f64 1/2 y) 2)))))))))
(*.f64 1/2 (/.f64 x y))
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(/.f64 (/.f64 (/.f64 (sin.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))) (cbrt.f64 (cos.f64 (/.f64 x (+.f64 y y))))) (cbrt.f64 (pow.f64 (cos.f64 (/.f64 x (+.f64 y y))) 2)))
(/.f64 (/.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (cbrt.f64 (sin.f64 (/.f64 x (+.f64 y y))))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (/.f64 x (+.f64 y y))))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) 2)))
(/.f64 (*.f64 (cbrt.f64 (tan.f64 (/.f64 (*.f64 x -1/2) y))) (cbrt.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))) 2))) (cbrt.f64 (sin.f64 (/.f64 (*.f64 x -1/2) y))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))) 2)) (cbrt.f64 (tan.f64 (/.f64 (*.f64 x -1/2) y)))) (cbrt.f64 (sin.f64 (/.f64 (*.f64 x -1/2) y))))
(/.f64 (sin.f64 (/.f64 (*.f64 x -1/2) y)) (*.f64 (cos.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 (*.f64 x -1/2) y))))
(/.f64 (sin.f64 (/.f64 (*.f64 x -1/2) y)) (*.f64 (neg.f64 (cos.f64 (/.f64 x (+.f64 y y)))) (sin.f64 (/.f64 x (+.f64 y y)))))
(/.f64 (sin.f64 (/.f64 (*.f64 x -1/2) y)) (*.f64 (sin.f64 (/.f64 x (+.f64 y y))) (neg.f64 (cos.f64 (/.f64 x (+.f64 y y))))))
(/.f64 (sin.f64 (/.f64 (*.f64 x -1/2) y)) (*.f64 (sin.f64 (/.f64 (*.f64 x -1/2) y)) (cos.f64 (/.f64 x (+.f64 y y)))))
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))
(/.f64 (/.f64 (sin.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))) (cos.f64 (/.f64 x (+.f64 y y))))
(/.f64 (sin.f64 (/.f64 x (+.f64 y y))) (/.f64 (+.f64 (sin.f64 0) (sin.f64 (/.f64 x y))) 2))
(/.f64 (/.f64 (sin.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 (*.f64 x -1/2) y))) (neg.f64 (cos.f64 (/.f64 x (+.f64 y y)))))
(/.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))) (cbrt.f64 (sin.f64 (/.f64 x (+.f64 y y)))))
(/.f64 (*.f64 (cbrt.f64 (tan.f64 (/.f64 x (+.f64 y y)))) (cbrt.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))) 2))) (cbrt.f64 (sin.f64 (/.f64 x (+.f64 y y)))))
(/.f64 (*.f64 (/.f64 -1 (sin.f64 (/.f64 (*.f64 x -1/2) y))) (sin.f64 (/.f64 (*.f64 x -1/2) y))) (neg.f64 (cos.f64 (/.f64 x (+.f64 y y)))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))) 2)) (cbrt.f64 (tan.f64 (/.f64 x (+.f64 y y))))) (cbrt.f64 (sin.f64 (/.f64 x (+.f64 y y)))))
(/.f64 (sin.f64 (/.f64 x (+.f64 y y))) (*.f64 (sin.f64 (/.f64 (*.f64 x -1/2) y)) (neg.f64 (cos.f64 (/.f64 x (+.f64 y y))))))
(/.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (cbrt.f64 (sin.f64 (/.f64 x (+.f64 y y))))) (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 -1 (sin.f64 (/.f64 (*.f64 x -1/2) y)))) (tan.f64 (/.f64 x (+.f64 y y)))) (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))) (cbrt.f64 (pow.f64 (tan.f64 (/.f64 x (+.f64 y y))) 2))) (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))
(/.f64 (tan.f64 (/.f64 (*.f64 x -1/2) y)) (sin.f64 (/.f64 (*.f64 x -1/2) y)))
(/.f64 (sin.f64 (/.f64 (*.f64 x -1/2) y)) (neg.f64 (/.f64 (+.f64 (sin.f64 0) (sin.f64 (/.f64 x y))) 2)))
(/.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (cbrt.f64 (sin.f64 (/.f64 (*.f64 x -1/2) y)))) (cbrt.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))
(/.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))) 1)
(fma.f64 1 0 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))))
(fma.f64 0 3 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))))
(fma.f64 0 1 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))))
(fma.f64 0 0 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))))
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))) 3)
(pow.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))) 1)
(pow.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))) 3) 1/3)
(cbrt.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))) 3))
(neg.f64 (/.f64 (tan.f64 (/.f64 (*.f64 x -1/2) y)) (sin.f64 (/.f64 x (+.f64 y y)))))
(neg.f64 (/.f64 (sin.f64 (/.f64 x (+.f64 y y))) (neg.f64 (/.f64 (+.f64 (sin.f64 0) (sin.f64 (/.f64 x y))) 2))))
(neg.f64 (/.f64 (sin.f64 (/.f64 x (+.f64 y y))) (*.f64 (neg.f64 (cos.f64 (/.f64 x (+.f64 y y)))) (sin.f64 (/.f64 x (+.f64 y y))))))
(neg.f64 (/.f64 (sin.f64 (/.f64 x (+.f64 y y))) (*.f64 (sin.f64 (/.f64 x (+.f64 y y))) (neg.f64 (cos.f64 (/.f64 x (+.f64 y y)))))))
(neg.f64 (/.f64 (sin.f64 (/.f64 x (+.f64 y y))) (*.f64 (cos.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 (*.f64 x -1/2) y)))))
(neg.f64 (/.f64 (sin.f64 (/.f64 (*.f64 x -1/2) y)) (/.f64 (+.f64 (sin.f64 0) (sin.f64 (/.f64 x y))) 2)))
(neg.f64 (/.f64 (/.f64 (sin.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))) (neg.f64 (cos.f64 (/.f64 x (+.f64 y y))))))
(neg.f64 (-.f64 (/.f64 (tan.f64 (/.f64 (*.f64 x -1/2) y)) (sin.f64 (/.f64 x (+.f64 y y)))) 0))
(neg.f64 (-.f64 (/.f64 (tan.f64 (/.f64 (*.f64 x -1/2) y)) (sin.f64 (/.f64 x (+.f64 y y)))) (/.f64 0 (sin.f64 (/.f64 (*.f64 x -1/2) y)))))
(if (!=.f64 (tan.f64 (/.f64 x (+.f64 y y))) 0) (/.f64 1 (/.f64 (sin.f64 (/.f64 x (+.f64 y y))) (tan.f64 (/.f64 x (+.f64 y y))))) (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))))
(if (!=.f64 1 0) (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))) (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))))
(if (!=.f64 (cbrt.f64 (tan.f64 (/.f64 x (+.f64 y y)))) 0) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (/.f64 x (+.f64 y y))) 2)) (/.f64 (sin.f64 (/.f64 x (+.f64 y y))) (cbrt.f64 (tan.f64 (/.f64 x (+.f64 y y)))))) (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))))
(if (!=.f64 (/.f64 1 (cos.f64 (/.f64 x (+.f64 y y)))) 0) (/.f64 (sin.f64 (/.f64 x (+.f64 y y))) (/.f64 (sin.f64 (/.f64 x (+.f64 y y))) (/.f64 1 (cos.f64 (/.f64 x (+.f64 y y)))))) (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))))
(if (!=.f64 (/.f64 -1 (sin.f64 (/.f64 (*.f64 x -1/2) y))) 0) (/.f64 (sin.f64 (/.f64 x (+.f64 y y))) (/.f64 (cos.f64 (/.f64 x (+.f64 y y))) (/.f64 -1 (sin.f64 (/.f64 (*.f64 x -1/2) y))))) (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))))
(if (!=.f64 (cbrt.f64 (sin.f64 (/.f64 x (+.f64 y y)))) 0) (/.f64 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (/.f64 (/.f64 (+.f64 (sin.f64 0) (sin.f64 (/.f64 x y))) 2) (cbrt.f64 (sin.f64 (/.f64 x (+.f64 y y)))))) (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))))
(if (!=.f64 (sin.f64 (/.f64 x (+.f64 y y))) 0) (/.f64 1 (/.f64 (/.f64 (+.f64 (sin.f64 0) (sin.f64 (/.f64 x y))) 2) (sin.f64 (/.f64 x (+.f64 y y))))) (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))))
(if (!=.f64 (cbrt.f64 (pow.f64 (tan.f64 (/.f64 x (+.f64 y y))) 2)) 0) (/.f64 (cbrt.f64 (tan.f64 (/.f64 (*.f64 x -1/2) y))) (/.f64 (sin.f64 (/.f64 (*.f64 x -1/2) y)) (cbrt.f64 (pow.f64 (tan.f64 (/.f64 x (+.f64 y y))) 2)))) (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))))
(if (!=.f64 (neg.f64 (cbrt.f64 (pow.f64 (tan.f64 (/.f64 x (+.f64 y y))) 2))) 0) (/.f64 (cbrt.f64 (tan.f64 (/.f64 (*.f64 x -1/2) y))) (/.f64 (sin.f64 (/.f64 (*.f64 x -1/2) y)) (cbrt.f64 (pow.f64 (tan.f64 (/.f64 x (+.f64 y y))) 2)))) (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))))
(if (!=.f64 (tan.f64 (/.f64 (*.f64 x -1/2) y)) 0) (/.f64 1 (/.f64 (sin.f64 (/.f64 x (+.f64 y y))) (tan.f64 (/.f64 x (+.f64 y y))))) (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))))
(if (!=.f64 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) 0) (/.f64 (cbrt.f64 (sin.f64 (/.f64 x (+.f64 y y)))) (/.f64 (/.f64 (+.f64 (sin.f64 0) (sin.f64 (/.f64 x y))) 2) (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))) (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))))
(if (!=.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))) 0) (/.f64 1 (/.f64 1 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))))) (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))))
(if (!=.f64 (+.f64 0 (/.f64 (tan.f64 (/.f64 (*.f64 x -1/2) y)) (sin.f64 (/.f64 x (+.f64 y y))))) 0) (/.f64 (-.f64 0 (pow.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))) 2)) (+.f64 0 (/.f64 (tan.f64 (/.f64 (*.f64 x -1/2) y)) (sin.f64 (/.f64 x (+.f64 y y)))))) (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))))
(if (!=.f64 (+.f64 (/.f64 0 (sin.f64 (/.f64 (*.f64 x -1/2) y))) (/.f64 (tan.f64 (/.f64 (*.f64 x -1/2) y)) (sin.f64 (/.f64 x (+.f64 y y))))) 0) (/.f64 (-.f64 (*.f64 (/.f64 0 (sin.f64 (/.f64 (*.f64 x -1/2) y))) (/.f64 0 (sin.f64 (/.f64 (*.f64 x -1/2) y)))) (pow.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))) 2)) (+.f64 (/.f64 0 (sin.f64 (/.f64 (*.f64 x -1/2) y))) (/.f64 (tan.f64 (/.f64 (*.f64 x -1/2) y)) (sin.f64 (/.f64 x (+.f64 y y)))))) (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))))
(if (!=.f64 (/.f64 (tan.f64 (/.f64 (*.f64 x -1/2) y)) (sin.f64 (/.f64 x (+.f64 y y)))) 0) (/.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))) 3) (+.f64 0 (+.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))) 2) (*.f64 0 (/.f64 (tan.f64 (/.f64 (*.f64 x -1/2) y)) (sin.f64 (/.f64 x (+.f64 y y)))))))) (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))))
(if (!=.f64 (/.f64 (tan.f64 (/.f64 (*.f64 x -1/2) y)) (sin.f64 (/.f64 x (+.f64 y y)))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (sin.f64 (/.f64 (*.f64 x -1/2) y))) 3) (pow.f64 (/.f64 (tan.f64 (/.f64 (*.f64 x -1/2) y)) (sin.f64 (/.f64 x (+.f64 y y)))) 3)) (+.f64 (*.f64 (/.f64 0 (sin.f64 (/.f64 (*.f64 x -1/2) y))) (/.f64 0 (sin.f64 (/.f64 (*.f64 x -1/2) y)))) (+.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))) 2) (*.f64 (/.f64 0 (sin.f64 (/.f64 (*.f64 x -1/2) y))) (/.f64 (tan.f64 (/.f64 (*.f64 x -1/2) y)) (sin.f64 (/.f64 x (+.f64 y y)))))))) (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))))
(if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))) 2) (*.f64 0 (/.f64 (tan.f64 (/.f64 (*.f64 x -1/2) y)) (sin.f64 (/.f64 x (+.f64 y y))))))) 0) (/.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))) 3) (+.f64 0 (+.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))) 2) (*.f64 0 (/.f64 (tan.f64 (/.f64 (*.f64 x -1/2) y)) (sin.f64 (/.f64 x (+.f64 y y)))))))) (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))))
(if (!=.f64 (+.f64 (*.f64 (/.f64 0 (sin.f64 (/.f64 (*.f64 x -1/2) y))) (/.f64 0 (sin.f64 (/.f64 (*.f64 x -1/2) y)))) (+.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))) 2) (*.f64 (/.f64 0 (sin.f64 (/.f64 (*.f64 x -1/2) y))) (/.f64 (tan.f64 (/.f64 (*.f64 x -1/2) y)) (sin.f64 (/.f64 x (+.f64 y y))))))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (sin.f64 (/.f64 (*.f64 x -1/2) y))) 3) (pow.f64 (/.f64 (tan.f64 (/.f64 (*.f64 x -1/2) y)) (sin.f64 (/.f64 x (+.f64 y y)))) 3)) (+.f64 (*.f64 (/.f64 0 (sin.f64 (/.f64 (*.f64 x -1/2) y))) (/.f64 0 (sin.f64 (/.f64 (*.f64 x -1/2) y)))) (+.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))) 2) (*.f64 (/.f64 0 (sin.f64 (/.f64 (*.f64 x -1/2) y))) (/.f64 (tan.f64 (/.f64 (*.f64 x -1/2) y)) (sin.f64 (/.f64 x (+.f64 y y)))))))) (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))))
(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))) 3) (+.f64 0 (+.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))) 2) (*.f64 0 (/.f64 (tan.f64 (/.f64 (*.f64 x -1/2) y)) (sin.f64 (/.f64 x (+.f64 y y)))))))) (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))))
(if (!=.f64 (/.f64 0 (sin.f64 (/.f64 (*.f64 x -1/2) y))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (sin.f64 (/.f64 (*.f64 x -1/2) y))) 3) (pow.f64 (/.f64 (tan.f64 (/.f64 (*.f64 x -1/2) y)) (sin.f64 (/.f64 x (+.f64 y y)))) 3)) (+.f64 (*.f64 (/.f64 0 (sin.f64 (/.f64 (*.f64 x -1/2) y))) (/.f64 0 (sin.f64 (/.f64 (*.f64 x -1/2) y)))) (+.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))) 2) (*.f64 (/.f64 0 (sin.f64 (/.f64 (*.f64 x -1/2) y))) (/.f64 (tan.f64 (/.f64 (*.f64 x -1/2) y)) (sin.f64 (/.f64 x (+.f64 y y)))))))) (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))))
(+.f64 (/.f64 0 (sin.f64 (/.f64 (*.f64 x -1/2) y))) (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))))
(+.f64 (*.f64 1/2 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))) (*.f64 1/2 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))))
(+.f64 (*.f64 0 (/.f64 -1 (sin.f64 (/.f64 x (+.f64 y y))))) (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))))
(+.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))) 1/2) (*.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))) 1/2))
(+.f64 (*.f64 (/.f64 -1 (sin.f64 (/.f64 x (+.f64 y y)))) 0) (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))))
(+.f64 (/.f64 0 (sin.f64 (/.f64 (*.f64 x -1/2) y))) (*.f64 (neg.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 (*.f64 x -1/2) y)) (sin.f64 (/.f64 x (+.f64 y y)))))) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 (*.f64 x -1/2) y)) (sin.f64 (/.f64 x (+.f64 y y))))) 2)))
(+.f64 0 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))))
(+.f64 0 (*.f64 (neg.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 (*.f64 x -1/2) y)) (sin.f64 (/.f64 x (+.f64 y y)))))) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 (*.f64 x -1/2) y)) (sin.f64 (/.f64 x (+.f64 y y))))) 2)))
Outputs
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 1/2 x) y)
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1
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(/.f64 (tan.f64 (/.f64 x (*.f64 2 y))) (sin.f64 (/.f64 x (*.f64 2 y))))
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(/.f64 (tan.f64 (/.f64 x (*.f64 2 y))) (sin.f64 (/.f64 x (*.f64 2 y))))
(+.f64 (*.f64 0 (/.f64 -1 (sin.f64 (/.f64 x (+.f64 y y))))) (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 2 y))) (sin.f64 (/.f64 x (*.f64 2 y))))
(+.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))) 1/2) (*.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))) 1/2))
(/.f64 (tan.f64 (/.f64 x (*.f64 2 y))) (sin.f64 (/.f64 x (*.f64 2 y))))
(+.f64 (*.f64 (/.f64 -1 (sin.f64 (/.f64 x (+.f64 y y)))) 0) (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 2 y))) (sin.f64 (/.f64 x (*.f64 2 y))))
(+.f64 (/.f64 0 (sin.f64 (/.f64 (*.f64 x -1/2) y))) (*.f64 (neg.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 (*.f64 x -1/2) y)) (sin.f64 (/.f64 x (+.f64 y y)))))) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 (*.f64 x -1/2) y)) (sin.f64 (/.f64 x (+.f64 y y))))) 2)))
(/.f64 (tan.f64 (/.f64 (*.f64 -1/2 x) y)) (neg.f64 (sin.f64 (/.f64 x (*.f64 2 y)))))
(+.f64 0 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 2 y))) (sin.f64 (/.f64 x (*.f64 2 y))))
(+.f64 0 (*.f64 (neg.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 (*.f64 x -1/2) y)) (sin.f64 (/.f64 x (+.f64 y y)))))) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 (*.f64 x -1/2) y)) (sin.f64 (/.f64 x (+.f64 y y))))) 2)))
(/.f64 (tan.f64 (/.f64 (*.f64 -1/2 x) y)) (neg.f64 (sin.f64 (/.f64 x (*.f64 2 y)))))

eval241.0ms (1.3%)

Compiler

Compiled 16298 to 10045 computations (38.4% saved)

prune103.0ms (0.6%)

Pruning

28 alts after pruning (27 fresh and 1 done)

PrunedKeptTotal
New37027397
Fresh000
Picked011
Done000
Total37028398
Error
27.7b
Counts
398 → 28
Alt Table
Click to see full alt table
StatusErrorProgram
36.6b
(if (!=.f64 (tan.f64 (/.f64 (*.f64 x -1/2) y)) 0) (/.f64 1 (/.f64 (sin.f64 (/.f64 x (+.f64 y y))) (tan.f64 (/.f64 x (+.f64 y y))))) (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))))
59.9b
(if (!=.f64 (cbrt.f64 (sin.f64 (/.f64 x (*.f64 2 y)))) 0) (/.f64 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (/.f64 (sin.f64 (/.f64 x y)) (*.f64 (cbrt.f64 (sin.f64 (/.f64 x (*.f64 2 y)))) 2))) (/.f64 (tan.f64 (/.f64 x (*.f64 2 y))) (sin.f64 (/.f64 x (*.f64 2 y)))))
36.6b
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))) 3)
59.9b
(/.f64 (if (!=.f64 (cbrt.f64 (sin.f64 (/.f64 x (+.f64 y y)))) 0) (/.f64 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (/.f64 (cos.f64 (/.f64 x (+.f64 y y))) (cbrt.f64 (sin.f64 (/.f64 x (+.f64 y y)))))) (tan.f64 (/.f64 x (+.f64 y y)))) (sin.f64 (/.f64 (*.f64 x 1/2) y)))
37.1b
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x (+.f64 y y)))) 3) (sin.f64 (/.f64 (*.f64 x 1/2) y)))
60.6b
(/.f64 (/.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (cbrt.f64 (sin.f64 (/.f64 x (+.f64 y y))))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (/.f64 x (+.f64 y y))))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) 2)))
36.6b
(/.f64 (/.f64 (/.f64 (sin.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))) (cbrt.f64 (cos.f64 (/.f64 x (+.f64 y y))))) (cbrt.f64 (pow.f64 (cos.f64 (/.f64 x (+.f64 y y))) 2)))
36.6b
(/.f64 (/.f64 (/.f64 (sin.f64 (/.f64 x (+.f64 y y))) (cbrt.f64 (cos.f64 (/.f64 x (+.f64 y y))))) (cbrt.f64 (pow.f64 (cos.f64 (/.f64 x (+.f64 y y))) 2))) (sin.f64 (/.f64 (*.f64 x 1/2) y)))
60.6b
(/.f64 (/.f64 (/.f64 (sin.f64 (/.f64 x (*.f64 2 y))) (cbrt.f64 (sin.f64 (/.f64 x (*.f64 2 y))))) (cos.f64 (/.f64 x (*.f64 2 y)))) (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))
38.9b
(/.f64 (/.f64 (*.f64 1/2 x) y) (sin.f64 (/.f64 (*.f64 x 1/2) y)))
60.6b
(/.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 2 y))) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 2 y))) 2))) (cbrt.f64 (sin.f64 (/.f64 x (*.f64 2 y)))))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))) 2))))
60.6b
(/.f64 (/.f64 (sin.f64 (/.f64 x (+.f64 y y))) (cbrt.f64 (sin.f64 (/.f64 x (+.f64 y y))))) (*.f64 (cos.f64 (/.f64 x (+.f64 y y))) (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))))
59.4b
(/.f64 (-.f64 3 (-.f64 3 (tan.f64 (/.f64 x (+.f64 y y))))) (sin.f64 (/.f64 (*.f64 x 1/2) y)))
59.3b
(/.f64 (-.f64 1 (-.f64 1 (tan.f64 (/.f64 x (+.f64 y y))))) (sin.f64 (/.f64 (*.f64 x 1/2) y)))
60.7b
(/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (if (!=.f64 (sin.f64 (/.f64 (*.f64 x -1/2) y)) 0) (/.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 (*.f64 x -1/2) y))) (sin.f64 (/.f64 x (+.f64 y y)))))
60.3b
(/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (if (!=.f64 (sin.f64 (/.f64 (*.f64 -1/2 x) y)) 0) (/.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 2 y))) 3) (-.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 2 y)))))
39.0b
(/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (fma.f64 -1/6 (pow.f64 (/.f64 (*.f64 1/2 x) y) 3) (/.f64 (*.f64 1/2 x) y)))
37.0b
(/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (pow.f64 (cbrt.f64 (sin.f64 (/.f64 x (+.f64 y y)))) 3))
60.1b
(/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (-.f64 3 (-.f64 3 (sin.f64 (/.f64 x (+.f64 y y))))))
36.6b
(/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y)))
60.6b
(/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (cbrt.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 2 y))))))
36.7b
(/.f64 (sin.f64 (/.f64 (*.f64 -1/2 x) y)) (*.f64 (sin.f64 (/.f64 x y)) -1/2))
36.6b
(-.f64 3 (+.f64 3 (/.f64 (tan.f64 (/.f64 (*.f64 x -1/2) y)) (sin.f64 (/.f64 x (+.f64 y y))))))
36.6b
(+.f64 0 (*.f64 (neg.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 (*.f64 x -1/2) y)) (sin.f64 (/.f64 x (+.f64 y y)))))) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 (*.f64 x -1/2) y)) (sin.f64 (/.f64 x (+.f64 y y))))) 2)))
60.6b
(*.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (cbrt.f64 (sin.f64 (/.f64 x (+.f64 y y))))) (/.f64 1 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))))
37.9b
(*.f64 (/.f64 -1 (sin.f64 (/.f64 (*.f64 x -1/2) y))) (tan.f64 (/.f64 x (+.f64 y y))))
60.6b
(*.f64 (cbrt.f64 (/.f64 (/.f64 -1 (sin.f64 (/.f64 (*.f64 -1/2 x) y))) (-.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))) (tan.f64 (/.f64 x (*.f64 2 y))))
29.4b
1
Compiler

Compiled 1506 to 988 computations (34.4% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
6.0b
(/.f64 (sin.f64 (/.f64 x (+.f64 y y))) (tan.f64 (/.f64 x (+.f64 y y))))
30.2b
(sin.f64 (/.f64 x (+.f64 y y)))
30.4b
(tan.f64 (/.f64 (*.f64 x -1/2) y))
30.4b
(tan.f64 (/.f64 x (+.f64 y y)))
Compiler

Compiled 127 to 37 computations (70.9% saved)

series224.0ms (1.2%)

Counts
4 → 48
Calls

24 calls:

TimeVariablePointExpression
4.0ms
y
@inf
(/.f64 (sin.f64 (/.f64 x (+.f64 y y))) (tan.f64 (/.f64 x (+.f64 y y))))
3.0ms
x
@0
(tan.f64 (/.f64 (*.f64 x -1/2) y))
2.0ms
x
@0
(/.f64 (sin.f64 (/.f64 x (+.f64 y y))) (tan.f64 (/.f64 x (+.f64 y y))))
2.0ms
y
@-inf
(/.f64 (sin.f64 (/.f64 x (+.f64 y y))) (tan.f64 (/.f64 x (+.f64 y y))))
1.0ms
y
@inf
(tan.f64 (/.f64 (*.f64 x -1/2) y))
Compiler

Compiled 22695 to 17780 computations (21.7% saved)

rewrite1.6s (8.6%)

Algorithm
batch-egg-rewrite
Rules
99×egg-rr
81×egg-rr
57×egg-rr
54×egg-rr
Counts
4 → 291
Calls
Call 1
Inputs
(tan.f64 (/.f64 x (+.f64 y y)))
(tan.f64 (/.f64 (*.f64 x -1/2) y))
(sin.f64 (/.f64 x (+.f64 y y)))
(/.f64 (sin.f64 (/.f64 x (+.f64 y y))) (tan.f64 (/.f64 x (+.f64 y y))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (tan.f64 (/.f64 x (+.f64 y y)))) (cbrt.f64 (pow.f64 (tan.f64 (/.f64 x (+.f64 y y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (tan.f64 (/.f64 x (*.f64 -2 y)))) (neg.f64 (cbrt.f64 (pow.f64 (tan.f64 (/.f64 x (+.f64 y y))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (tan.f64 (/.f64 x (+.f64 y y))) 2)) (cbrt.f64 (tan.f64 (/.f64 x (+.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 -2 y)))) (sin.f64 (/.f64 x (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (/.f64 x (+.f64 y y))) (/.f64 1 (cos.f64 (/.f64 x (*.f64 -2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (/.f64 x (*.f64 -2 y))) (/.f64 -1 (cos.f64 (/.f64 x (*.f64 -2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 (pow.f64 (tan.f64 (/.f64 x (+.f64 y y))) 2)) (+.f64 0 (*.f64 (cbrt.f64 (tan.f64 (/.f64 x (+.f64 y y)))) 0))) (-.f64 (cbrt.f64 (tan.f64 (/.f64 x (+.f64 y y)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 0 (+.f64 (cbrt.f64 (pow.f64 (tan.f64 (/.f64 x (+.f64 y y))) 2)) (*.f64 0 (cbrt.f64 (tan.f64 (/.f64 x (*.f64 -2 y))))))) (cbrt.f64 (tan.f64 (/.f64 x (+.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 0 (-.f64 (cbrt.f64 (pow.f64 (tan.f64 (/.f64 x (+.f64 y y))) 2)) 0)) (+.f64 0 (cbrt.f64 (tan.f64 (/.f64 x (+.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (tan.f64 (/.f64 x (*.f64 -2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (tan.f64 (/.f64 x (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (/.f64 x (+.f64 y y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (neg.f64 (cos.f64 (/.f64 x (*.f64 -2 y))))) (tan.f64 (/.f64 x (*.f64 -2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (/.f64 0 (neg.f64 (cos.f64 (/.f64 x (*.f64 -2 y)))))) (tan.f64 (/.f64 x (*.f64 -2 y))))))) 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simplify2.4s (13%)

Algorithm
egglog

end0.0ms (0%)

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