Details

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 10 to 7 computations (30% saved)

sample3.4s (14.3%)

Results

1.5s	4023×	body	1024	valid
1.4s	2063×	body	2048	valid
339.0ms	1358×	body	512	valid
117.0ms	811×	body	256	valid
1.0ms	1×	body	4096	valid

Bogosity

preprocess2.9s (12.2%)

Algorithm

2×

egglog

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 eps))

Outputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 eps))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 eps))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify1.5s (6.2%)

Algorithm

1×

egglog

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Outputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

eval0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

38.6b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	38.6b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.9b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	2.2b	(cos.f64 (+.f64 x eps))

Compiler

Compiled 20 to 6 computations (70% saved)

series18.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	inf	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
0.0ms	x	@	0	(cos.f64 (+.f64 x eps))
0.0ms	eps	@	0	(cos.f64 (+.f64 x eps))
0.0ms	eps	@	0	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
0.0ms	x	@	0	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 2345 to 1105 computations (52.9% saved)

rewrite1.5s (6.2%)

Algorithm

1×	batch-egg-rewrite

Rules

92×	`egg-rr`
76×	`egg-rr`

Counts

2 → 168

Calls

Call 1

Inputs
(cos.f64 (+.f64 x eps))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Outputs
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Outputs

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(cos.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (neg.f64 (cos.f64 x)) 0) (cos.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (neg.f64 x)) (sin.f64 eps)) (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 (cos.f64 (+.f64 x eps))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 (neg.f64 x)) (sin.f64 eps)))))))

simplify3.9s (16.2%)

Algorithm

1×

egglog

Counts

216 → 245

Calls

Call 1

Inputs
(cos.f64 eps)
(+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps))))
(+.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))) (.f64 -1 (.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))) (.f64 -1 (.f64 x (sin.f64 eps))))))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 x)
(+.f64 (cos.f64 x) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x)))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3))) (+.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
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(/.f64 (neg.f64 (.f64 2 (-.f64 (cos.f64 (/.f64 (-.f64 (+.f64 eps (+.f64 x x)) eps) 2)) (cos.f64 (/.f64 (.f64 2 (+.f64 x eps)) 2))))) 2)
(/.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) -1)
(/.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)
(fma.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) (cbrt.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(fma.f64 (cbrt.f64 (cos.f64 x)) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(fma.f64 -1 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(fma.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(fma.f64 (cbrt.f64 (cos.f64 x)) (neg.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2))) (cos.f64 (+.f64 x eps)))
(fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (cbrt.f64 (pow.f64 (cos.f64 x) 2)) (cos.f64 (+.f64 x eps)))
(fma.f64 0 0 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(fma.f64 1 0 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(fma.f64 1 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(fma.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (neg.f64 (cos.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (cbrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x)))
(fma.f64 1 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x)))
(fma.f64 (cos.f64 (+.f64 x eps)) 1 (neg.f64 (cos.f64 x)))
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3) 1/3)
(pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))
(neg.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(if (!=.f64 (cos.f64 (+.f64 x eps)) 0) (*.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (/.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(if (!=.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 0) (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(if (!=.f64 (-.f64 (cos.f64 (-.f64 eps x)) (neg.f64 (cos.f64 x))) 0) (/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 eps x)) (neg.f64 (cos.f64 x))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (-.f64 (cos.f64 (-.f64 eps x)) (neg.f64 (cos.f64 x)))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(if (!=.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 0) (/.f64 (neg.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2)) (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(if (!=.f64 (neg.f64 (cos.f64 x)) 0) (*.f64 (neg.f64 (cos.f64 x)) (+.f64 1 (/.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(if (!=.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 0) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) (+.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps)))))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(if (!=.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) (+.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))))) 0) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) (+.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(if (!=.f64 (+.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2) 0) 0) (/.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3) (+.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2) 0)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(if (!=.f64 (cos.f64 (+.f64 x eps)) 0) (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(if (!=.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 0) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) (+.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(if (!=.f64 0 0) (/.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3) (+.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2) 0)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(if (!=.f64 (cos.f64 x) 0) (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(if (!=.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2)) 0) (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(if (!=.f64 (-.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps))) 0) (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(if (!=.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 0) (/.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3) (+.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2) 0)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(if (!=.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 0) (/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(+.f64 (/.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 eps))) -1) (/.f64 (.f64 (sin.f64 x) (sin.f64 eps)) -1))
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(+.f64 (-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (/.f64 (cos.f64 (-.f64 eps x)) 2)) (.f64 (cos.f64 (+.f64 x eps)) 1/2))
(+.f64 (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) (*.f64 (cos.f64 x) (cos.f64 eps)))
(+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x)))
(+.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(+.f64 (-.f64 (neg.f64 (cos.f64 x)) 0) (cos.f64 (+.f64 x eps)))
(+.f64 (.f64 (sin.f64 (neg.f64 x)) (sin.f64 eps)) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 0 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(+.f64 (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 (cos.f64 (+.f64 x eps))) -1))
(+.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 (neg.f64 x)) (sin.f64 eps)))

Outputs
(cos.f64 eps)
(+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps))))
(-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps)))
(+.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))) (.f64 -1 (.f64 x (sin.f64 eps)))))
(-.f64 (+.f64 (cos.f64 eps) (/.f64 (.f64 (cos.f64 eps) (pow.f64 x 2)) -2)) (.f64 x (sin.f64 eps)))
(+.f64 (cos.f64 eps) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))) (.f64 -1 (.f64 x (sin.f64 eps))))))
(+.f64 (cos.f64 eps) (fma.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)) (fma.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)) (*.f64 (neg.f64 x) (sin.f64 eps)))))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (+.f64 eps x))
(cos.f64 x)
(+.f64 (cos.f64 x) (.f64 -1 (.f64 eps (sin.f64 x))))
(-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))
(+.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x)))))
(-.f64 (.f64 (cos.f64 x) (+.f64 1 (.f64 -1/2 (pow.f64 eps 2)))) (*.f64 eps (sin.f64 x)))
(+.f64 (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3))) (+.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))))
(fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (-.f64 (.f64 (cos.f64 x) (+.f64 1 (.f64 -1/2 (pow.f64 eps 2)))) (.f64 eps (sin.f64 x))))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (+.f64 eps x))
(-.f64 (cos.f64 eps) 1)
(+.f64 -1 (cos.f64 eps))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps)))) 1)
(+.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) -1)
(-.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps))))) 1)
(-.f64 (fma.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (-.f64 (cos.f64 eps) (.f64 x (sin.f64 eps)))) 1)
(-.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (+.f64 (cos.f64 eps) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (.f64 -1 (.f64 x (sin.f64 eps)))))) 1)
(-.f64 (fma.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (+.f64 (cos.f64 eps) (.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))))) 1)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(.f64 -1 (.f64 eps (sin.f64 x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(-.f64 (.f64 (.f64 -1/2 (pow.f64 eps 2)) (cos.f64 x)) (*.f64 eps (sin.f64 x)))
(+.f64 (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x)))))
(fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (-.f64 (.f64 (.f64 -1/2 (pow.f64 eps 2)) (cos.f64 x)) (.f64 eps (sin.f64 x))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4))) (.f64 -1 (.f64 eps (sin.f64 x))))))
(fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)) (fma.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4)) (.f64 (neg.f64 eps) (sin.f64 x)))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(cos.f64 (+.f64 x eps))
(cos.f64 (+.f64 eps x))
(*.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)))
(cos.f64 (+.f64 eps x))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (cbrt.f64 (cos.f64 (+.f64 x eps))))
(cos.f64 (+.f64 eps x))
(*.f64 -1 (neg.f64 (cos.f64 (+.f64 x eps))))
(cos.f64 (+.f64 eps x))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2)) (+.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 2)) (.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) (cbrt.f64 (.f64 (sin.f64 x) (sin.f64 eps)))))) (-.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) (cbrt.f64 (.f64 (sin.f64 x) (sin.f64 eps)))))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2)) (+.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 2)) (cbrt.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 eps) (sin.f64 x)))))) (-.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) (cbrt.f64 (.f64 (sin.f64 eps) (sin.f64 x)))))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (+.f64 0 (.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 0))) (-.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 0))
(cos.f64 (+.f64 eps x))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (-.f64 0 (.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 0))) (+.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 0))
(cos.f64 (+.f64 eps x))
(*.f64 1/2 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (-.f64 eps x))) (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 x eps)))))
(cos.f64 (+.f64 eps x))
(*.f64 1 (cos.f64 (+.f64 x eps)))
(cos.f64 (+.f64 eps x))
(*.f64 (cos.f64 (+.f64 x eps)) 1)
(cos.f64 (+.f64 eps x))
(-.f64 0 (neg.f64 (cos.f64 (+.f64 x eps))))
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(if (!=.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 0) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) (+.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(if (!=.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 0) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) (+.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(if (!=.f64 0 0) (/.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3) (+.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2) 0)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(if (!=.f64 0 0) (/.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 3) (pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 2)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(if (!=.f64 (cos.f64 x) 0) (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(if (!=.f64 (cos.f64 x) 0) (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (pow.f64 (cos.f64 (+.f64 eps x)) 2))) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(if (!=.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2)) 0) (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(if (!=.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (pow.f64 (cos.f64 (+.f64 eps x)) 2)) 0) (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (pow.f64 (cos.f64 (+.f64 eps x)) 2))) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(if (!=.f64 (-.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps))) 0) (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(if (!=.f64 (-.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 eps x))) 0) (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(if (!=.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 0) (/.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3) (+.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2) 0)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(if (!=.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) 0) (/.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 3) (pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 2)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(if (!=.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 0) (/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(if (!=.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 0) (pow.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) -1) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(+.f64 (/.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 eps))) -1) (/.f64 (.f64 (sin.f64 x) (sin.f64 eps)) -1))
(-.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(+.f64 (-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (/.f64 (cos.f64 (-.f64 eps x)) 2)) (.f64 (cos.f64 (+.f64 x eps)) 1/2))
(-.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) (*.f64 (cos.f64 x) (cos.f64 eps)))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(+.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(+.f64 (-.f64 (neg.f64 (cos.f64 x)) 0) (cos.f64 (+.f64 x eps)))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(+.f64 (.f64 (sin.f64 (neg.f64 x)) (sin.f64 eps)) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(-.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 0 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(+.f64 (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 (cos.f64 (+.f64 x eps))) -1))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(+.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 (neg.f64 x)) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (sin.f64 x)))

eval54.0ms (0.2%)

Compiler: Compiled 5360 to 1626 computations (69.7% saved)

prune71.0ms (0.3%)

Pruning

33 alts after pruning (32 fresh and 1 done)

	Pruned	Kept	Total
New	213	32	245
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	213	33	246

Error

0.2b

Counts

246 → 33

Alt Table

Click to see full alt table

Status	Error	Program
	38.6b	(if (!=.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 0) (/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
	38.7b	(if (!=.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 0) (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
	38.7b	(if (!=.f64 (cos.f64 (+.f64 x eps)) 0) (*.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (/.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
	27.8b	(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
▶	38.7b	(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (cbrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x)))
	55.4b	(pow.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3) 1/3)
	38.8b	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
	27.8b	(-.f64 (if (!=.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 0) (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 1 (/.f64 (.f64 (sin.f64 (neg.f64 x)) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
	28.0b	(-.f64 (fma.f64 (sin.f64 (neg.f64 x)) (sin.f64 eps) (.f64 (cbrt.f64 (cos.f64 x)) (.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) (cos.f64 eps)))) (cos.f64 x))
	27.7b	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 (neg.f64 x)) (sin.f64 eps))) (cos.f64 x))
	28.0b	(-.f64 (fma.f64 (cbrt.f64 (cos.f64 x)) (.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) (cos.f64 eps)) (.f64 (sin.f64 (neg.f64 x)) (sin.f64 eps))) (cos.f64 x))
▶	47.2b	(-.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) 1/3) (cos.f64 x))
	38.9b	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
▶	38.4b	(-.f64 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) x) x) (cos.f64 x))
	38.9b	(-.f64 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) 3) 3) (cos.f64 x))
	27.8b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	54.5b	(-.f64 (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) (cos.f64 x))
	28.0b	(-.f64 (+.f64 (.f64 (sin.f64 (neg.f64 x)) (sin.f64 eps)) (neg.f64 (.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) (cos.f64 eps))))) (cos.f64 x))
	27.4b	(-.f64 (.f64 (.f64 -1/2 (pow.f64 eps 2)) (cos.f64 x)) (*.f64 eps (sin.f64 x)))
▶	7.3b	(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
	27.8b	(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
	28.2b	(-.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 2))) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
✓	38.6b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	55.1b	(-.f64 (cos.f64 x) (cos.f64 x))
	38.5b	(-.f64 (cos.f64 eps) (cos.f64 x))
▶	38.5b	(-.f64 (cos.f64 eps) 1)
	38.8b	(-.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3)) (cos.f64 x))
	39.3b	(-.f64 x (-.f64 x (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	38.9b	(-.f64 3 (-.f64 3 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	39.5b	(+.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) -1)
	10.8b	(.f64 (.f64 2 (sin.f64 (.f64 eps -1/2))) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 2 x)))))
	34.0b	(*.f64 (neg.f64 eps) (sin.f64 x))
	38.7b	(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))

Compiler

Compiled 1079 to 674 computations (37.5% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
✓	0.1b	(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
✓	0.2b	(*.f64 (sin.f64 x) (sin.f64 eps))
✓	2.0b	(-.f64 (cos.f64 eps) 1)

Compiler

Compiled 42 to 17 computations (59.5% saved)

series25.0ms (0.1%)

Counts

4 → 28

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
1.0ms	eps	@	inf	(*.f64 (sin.f64 x) (sin.f64 eps))
1.0ms	x	@	inf	(*.f64 (sin.f64 x) (sin.f64 eps))
0.0ms	x	@	-inf	(*.f64 (sin.f64 x) (sin.f64 eps))
0.0ms	x	@	0	(*.f64 (sin.f64 x) (sin.f64 eps))

Compiler

Compiled 2565 to 1615 computations (37% saved)

rewrite1.6s (6.8%)

Algorithm

1×	batch-egg-rewrite

Rules

84×	`egg-rr`
82×	`egg-rr`
82×	`egg-rr`
65×	`egg-rr`

Counts

4 → 313

Calls

Call 1

Inputs
(-.f64 (cos.f64 eps) 1)
(*.f64 (sin.f64 x) (sin.f64 eps))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (cbrt.f64 (pow.f64 (cos.f64 eps) 2)) (+.f64 (cbrt.f64 (cos.f64 eps)) 1)) (+.f64 (cbrt.f64 (cos.f64 eps)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (.f64 (cbrt.f64 (cos.f64 eps)) (+.f64 (cbrt.f64 (cos.f64 eps)) 1))) (+.f64 -1 (cbrt.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 (cos.f64 eps) 1)) (cbrt.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 1 (cos.f64 eps))) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (+.f64 (cbrt.f64 (pow.f64 (cos.f64 eps) 2)) 1) (.f64 (cbrt.f64 (cos.f64 eps)) -1)) (+.f64 (cbrt.f64 (cos.f64 eps)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2)) (cbrt.f64 (-.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (+.f64 1 (/.f64 (.f64 (neg.f64 (cos.f64 eps)) -1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 0 (+.f64 (cbrt.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2)) (.f64 0 (cbrt.f64 (-.f64 1 (cos.f64 eps)))))) (cbrt.f64 (-.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 0 (-.f64 (cbrt.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2)) (.f64 0 (cbrt.f64 (-.f64 (cos.f64 eps) 1))))) (+.f64 0 (cbrt.f64 (-.f64 (cos.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (-.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (cos.f64 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (cos.f64 eps) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1) (pow.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) (-.f64 (cos.f64 eps) -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) (-.f64 (cos.f64 eps) -1)) -1) 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simplify5.4s (22.4%)

Algorithm

1×

egglog

Counts

341 → 437

Calls

Call 1

Inputs
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(*.f64 (sin.f64 eps) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (*.f64 (sin.f64 eps) x))
(+.f64 (.f64 1/120 (.f64 (pow.f64 x 5) (sin.f64 eps))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (*.f64 (sin.f64 eps) x)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 x 5) (sin.f64 eps))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 x 7) (sin.f64 eps))) (*.f64 (sin.f64 eps) x))))
(*.f64 eps (sin.f64 x))
(+.f64 (.f64 eps (sin.f64 x)) (.f64 -1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3))))
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(if (!=.f64 (+.f64 (.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (cos.f64 eps) (cos.f64 x))) (.f64 (neg.f64 (cos.f64 x)) (-.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 eps) (cos.f64 x))))) 0) (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 3) (neg.f64 (pow.f64 (cos.f64 x) 3))) (+.f64 (.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (cos.f64 eps) (cos.f64 x))) (.f64 (neg.f64 (cos.f64 x)) (-.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 eps) (cos.f64 x)))))) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 3) (neg.f64 (pow.f64 (cos.f64 x) 3))) (+.f64 (.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (cos.f64 eps) (cos.f64 x))) (.f64 (neg.f64 (cos.f64 x)) (-.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 eps) (cos.f64 x)))))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(if (!=.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 0) (/.f64 1 (/.f64 1 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(if (!=.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 0) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 2) 0) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(if (!=.f64 (.f64 (-.f64 1 (cos.f64 eps)) (cos.f64 x)) 0) (/.f64 (neg.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 2)) (.f64 (-.f64 1 (cos.f64 eps)) (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(if (!=.f64 0 0) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 3) 0) (+.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 2) (+.f64 0 (.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 0)))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(if (!=.f64 (.f64 (-.f64 1 (cos.f64 eps)) (cos.f64 x)) 0) (/.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 3) (+.f64 0 (+.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 2) (.f64 0 (.f64 (-.f64 1 (cos.f64 eps)) (cos.f64 x)))))) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(if (!=.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 2) (+.f64 0 (.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 0))) 0) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 3) 0) (+.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 2) (+.f64 0 (.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 0)))) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 2) (.f64 0 (.f64 (-.f64 1 (cos.f64 eps)) (cos.f64 x))))) 0) (/.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 3) (+.f64 0 (+.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 2) (.f64 0 (.f64 (-.f64 1 (cos.f64 eps)) (cos.f64 x)))))) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(if (!=.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 0) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 3) 0) (+.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 2) (+.f64 0 (.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 0)))) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(if (!=.f64 0 0) (/.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 3) (+.f64 0 (+.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 2) (.f64 0 (.f64 (-.f64 1 (cos.f64 eps)) (cos.f64 x)))))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (neg.f64 (cos.f64 x)))
(+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 0)
(+.f64 0 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (neg.f64 (*.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))) (neg.f64 (cos.f64 x)))
(+.f64 (neg.f64 (cos.f64 x)) (neg.f64 (*.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))))
(+.f64 (neg.f64 (cos.f64 x)) (neg.f64 (*.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x))))
(+.f64 (neg.f64 (cos.f64 x)) (neg.f64 (*.f64 (cos.f64 x) (neg.f64 (cos.f64 eps)))))
(+.f64 (neg.f64 (neg.f64 (*.f64 (cos.f64 eps) (cos.f64 x)))) (neg.f64 (cos.f64 x)))
(+.f64 (neg.f64 (.f64 (neg.f64 (cos.f64 x)) (cos.f64 eps))) (neg.f64 (.f64 (neg.f64 (cos.f64 x)) -1)))
(+.f64 (neg.f64 (.f64 (neg.f64 (cos.f64 x)) -1)) (neg.f64 (.f64 (neg.f64 (cos.f64 x)) (cos.f64 eps))))
(+.f64 (neg.f64 (.f64 (.f64 (cos.f64 eps) (cos.f64 x)) -1)) (neg.f64 (*.f64 (neg.f64 (cos.f64 x)) -1)))
(+.f64 (-.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) eps) eps)
(+.f64 (-.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 9) 9)
(+.f64 (-.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 1) 1)
(+.f64 (-.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 3) 3)

Outputs
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (pow.f64 eps 2) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (pow.f64 eps 2) (fma.f64 -1/720 (pow.f64 eps 6) (*.f64 1/40320 (pow.f64 eps 8)))))
(*.f64 (sin.f64 eps) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (*.f64 (sin.f64 eps) x))
(fma.f64 -1/6 (.f64 (sin.f64 eps) (pow.f64 x 3)) (.f64 (sin.f64 eps) x))
(+.f64 (.f64 1/120 (.f64 (pow.f64 x 5) (sin.f64 eps))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (*.f64 (sin.f64 eps) x)))
(fma.f64 1/120 (.f64 (sin.f64 eps) (pow.f64 x 5)) (fma.f64 -1/6 (.f64 (sin.f64 eps) (pow.f64 x 3)) (*.f64 (sin.f64 eps) x)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 x 5) (sin.f64 eps))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 x 7) (sin.f64 eps))) (*.f64 (sin.f64 eps) x))))
(fma.f64 1/120 (.f64 (sin.f64 eps) (pow.f64 x 5)) (fma.f64 -1/6 (.f64 (sin.f64 eps) (pow.f64 x 3)) (fma.f64 -1/5040 (.f64 (sin.f64 eps) (pow.f64 x 7)) (.f64 (sin.f64 eps) x))))
(*.f64 eps (sin.f64 x))
(+.f64 (.f64 eps (sin.f64 x)) (.f64 -1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3))))
(fma.f64 eps (sin.f64 x) (.f64 -1/6 (.f64 (sin.f64 x) (pow.f64 eps 3))))
(+.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 -1/6 (.f64 (sin.f64 x) (pow.f64 eps 3))) (.f64 1/120 (*.f64 (pow.f64 eps 5) (sin.f64 x)))))
(fma.f64 eps (sin.f64 x) (fma.f64 -1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (*.f64 1/120 (pow.f64 eps 5)) (sin.f64 x))))
(+.f64 (.f64 -1/5040 (.f64 (pow.f64 eps 7) (sin.f64 x))) (+.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 -1/6 (.f64 (sin.f64 x) (pow.f64 eps 3))) (.f64 1/120 (*.f64 (pow.f64 eps 5) (sin.f64 x))))))
(fma.f64 -1/5040 (.f64 (pow.f64 eps 7) (sin.f64 x)) (fma.f64 eps (sin.f64 x) (fma.f64 -1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (.f64 1/120 (pow.f64 eps 5)) (sin.f64 x)))))
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps)))) 1)
(+.f64 (-.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) x)) -1)
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (-.f64 (cos.f64 eps) 1))) (+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps))))) 1)
(-.f64 (fma.f64 -1/2 (.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 x 2)) (-.f64 (cos.f64 eps) (.f64 (sin.f64 eps) x))) 1)
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (-.f64 (cos.f64 eps) 1))) (+.f64 (cos.f64 eps) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (.f64 -1 (.f64 x (sin.f64 eps)))))) 1)
(-.f64 (fma.f64 -1/2 (.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 x 2)) (+.f64 (cos.f64 eps) (-.f64 (.f64 (.f64 1/6 (pow.f64 x 3)) (sin.f64 eps)) (.f64 (sin.f64 eps) x)))) 1)
(.f64 -1 (.f64 eps (sin.f64 x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(-.f64 (.f64 (.f64 -1/2 (pow.f64 eps 2)) (cos.f64 x)) (*.f64 eps (sin.f64 x)))
(+.f64 (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x)))))
(fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (-.f64 (.f64 (.f64 -1/2 (pow.f64 eps 2)) (cos.f64 x)) (.f64 eps (sin.f64 x))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4))) (.f64 -1 (.f64 eps (sin.f64 x))))))
(fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)) (fma.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4)) (.f64 (neg.f64 eps) (sin.f64 x)))))
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (-.f64 (cos.f64 eps) 1))) (cos.f64 eps)) 1)
(.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1) (+.f64 (cos.f64 eps) -1))
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (-.f64 (cos.f64 eps) 1))) (+.f64 (cos.f64 eps) (.f64 1/24 (.f64 (pow.f64 x 4) (-.f64 (cos.f64 eps) 1))))) 1)
(-.f64 (fma.f64 -1/2 (.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 x 2)) (+.f64 (cos.f64 eps) (.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (cos.f64 eps) -1)))) 1)
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (-.f64 (cos.f64 eps) 1))) (+.f64 (.f64 -1/720 (.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 6))) (+.f64 (cos.f64 eps) (.f64 1/24 (.f64 (pow.f64 x 4) (-.f64 (cos.f64 eps) 1)))))) 1)
(-.f64 (fma.f64 -1/2 (.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 x 2)) (fma.f64 -1/720 (.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 x 6)) (+.f64 (cos.f64 eps) (.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (cos.f64 eps) -1))))) 1)
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (.f64 -1/2 (pow.f64 eps 2)) (cos.f64 x))
(+.f64 (.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(fma.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4)) (.f64 (*.f64 -1/2 (pow.f64 eps 2)) (cos.f64 x)))
(+.f64 (.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1/720 (.f64 (cos.f64 x) (pow.f64 eps 6)))))
(fma.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4)) (fma.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)) (.f64 -1/720 (.f64 (cos.f64 x) (pow.f64 eps 6)))))
(+.f64 (.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4))) (+.f64 (.f64 1/40320 (.f64 (cos.f64 x) (pow.f64 eps 8))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1/720 (.f64 (cos.f64 x) (pow.f64 eps 6))))))
(fma.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4)) (fma.f64 1/40320 (.f64 (cos.f64 x) (pow.f64 eps 8)) (fma.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)) (.f64 -1/720 (*.f64 (cos.f64 x) (pow.f64 eps 6))))))
(*.f64 (+.f64 (cbrt.f64 (pow.f64 (cos.f64 eps) 2)) (+.f64 (cbrt.f64 (cos.f64 eps)) 1)) (+.f64 (cbrt.f64 (cos.f64 eps)) -1))
(+.f64 (cos.f64 eps) -1)
(.f64 (+.f64 1 (.f64 (cbrt.f64 (cos.f64 eps)) (+.f64 (cbrt.f64 (cos.f64 eps)) 1))) (+.f64 -1 (cbrt.f64 (cos.f64 eps))))
(+.f64 (cos.f64 eps) -1)
(*.f64 (cbrt.f64 (-.f64 (cos.f64 eps) 1)) (cbrt.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))
(+.f64 (cos.f64 eps) -1)
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 eps))) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2))))
(neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 eps)) 3)))
(.f64 (-.f64 (+.f64 (cbrt.f64 (pow.f64 (cos.f64 eps) 2)) 1) (.f64 (cbrt.f64 (cos.f64 eps)) -1)) (+.f64 (cbrt.f64 (cos.f64 eps)) -1))
(+.f64 (cos.f64 eps) -1)
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2)) (cbrt.f64 (-.f64 (cos.f64 eps) 1)))
(+.f64 (cos.f64 eps) -1)
(.f64 -1 (+.f64 1 (/.f64 (.f64 (neg.f64 (cos.f64 eps)) -1) -1)))
(+.f64 (cos.f64 eps) -1)
(.f64 (+.f64 0 (+.f64 (cbrt.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2)) (.f64 0 (cbrt.f64 (-.f64 1 (cos.f64 eps)))))) (cbrt.f64 (-.f64 (cos.f64 eps) 1)))
(+.f64 (cos.f64 eps) -1)
(.f64 (+.f64 0 (-.f64 (cbrt.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2)) (.f64 0 (cbrt.f64 (-.f64 (cos.f64 eps) 1))))) (+.f64 0 (cbrt.f64 (-.f64 (cos.f64 eps) 1))))
(+.f64 (cos.f64 eps) -1)
(*.f64 1 (-.f64 (cos.f64 eps) 1))
(+.f64 (cos.f64 eps) -1)
(*.f64 (-.f64 1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (-.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (cos.f64 eps) 2))))
(+.f64 (cos.f64 eps) -1)
(*.f64 (-.f64 (cos.f64 eps) 1) 1)
(+.f64 (cos.f64 eps) -1)
(*.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1) (pow.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) (-.f64 (cos.f64 eps) -1)) -1))
(+.f64 (cos.f64 eps) -1)
(*.f64 (pow.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) (-.f64 (cos.f64 eps) -1)) -1) (+.f64 (pow.f64 (cos.f64 eps) 3) -1))
(+.f64 (cos.f64 eps) -1)
(*.f64 (-.f64 1 (cos.f64 eps)) -1)
(+.f64 (cos.f64 eps) -1)
(*.f64 -1 (-.f64 1 (cos.f64 eps)))
(+.f64 (cos.f64 eps) -1)
(-.f64 (/.f64 (pow.f64 (cos.f64 eps) 3) (fma.f64 (cos.f64 eps) (cos.f64 eps) (-.f64 (cos.f64 eps) -1))) (pow.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) (-.f64 (cos.f64 eps) -1)) -1))
(+.f64 (cos.f64 eps) -1)
(-.f64 eps (+.f64 eps (-.f64 1 (cos.f64 eps))))
(+.f64 (cos.f64 eps) -1)
(-.f64 9 (+.f64 9 (-.f64 1 (cos.f64 eps))))
(+.f64 (cos.f64 eps) -1)
(-.f64 1 (+.f64 1 (-.f64 1 (cos.f64 eps))))
(+.f64 (cos.f64 eps) -1)
(-.f64 (+.f64 0 (/.f64 (pow.f64 (cos.f64 eps) 3) (fma.f64 (cos.f64 eps) (cos.f64 eps) (-.f64 (cos.f64 eps) -1)))) (pow.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) (-.f64 (cos.f64 eps) -1)) -1))
(+.f64 (cos.f64 eps) -1)
(-.f64 (+.f64 0 (cos.f64 eps)) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 3 (+.f64 3 (-.f64 1 (cos.f64 eps))))
(+.f64 (cos.f64 eps) -1)
(-.f64 -1 (neg.f64 (cos.f64 eps)))
(+.f64 (cos.f64 eps) -1)
(-.f64 0 (-.f64 1 (cos.f64 eps)))
(+.f64 (cos.f64 eps) -1)
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (cos.f64 eps) 3) 3) -1) (fma.f64 (cos.f64 eps) (cos.f64 eps) (-.f64 (cos.f64 eps) -1))) (+.f64 (+.f64 (pow.f64 (pow.f64 (cos.f64 eps) 3) 2) 1) (pow.f64 (cos.f64 eps) 3)))
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(+.f64 (neg.f64 (.f64 (neg.f64 (cos.f64 x)) -1)) (neg.f64 (.f64 (neg.f64 (cos.f64 x)) (cos.f64 eps))))
(*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))
(+.f64 (neg.f64 (.f64 (.f64 (cos.f64 eps) (cos.f64 x)) -1)) (neg.f64 (*.f64 (neg.f64 (cos.f64 x)) -1)))
(*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))
(+.f64 (-.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) eps) eps)
(*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))
(+.f64 (-.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 9) 9)
(*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))
(+.f64 (-.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 1) 1)
(*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))
(+.f64 (-.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 3) 3)
(*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	2.0b	(-.f64 (cos.f64 eps) 1)

Compiler

Compiled 10 to 6 computations (40% saved)

localize12.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	2.0b	(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) x) x)
	2.2b	(cos.f64 (+.f64 x eps))
✓	2.9b	(-.f64 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) x) x) (cos.f64 x))

Compiler

Compiled 38 to 8 computations (78.9% saved)

series18.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(-.f64 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) x) x) (cos.f64 x))
0.0ms	eps	@	0	(-.f64 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) x) x) (cos.f64 x))
0.0ms	x	@	0	(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) x) x)
0.0ms	eps	@	0	(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) x) x)
0.0ms	x	@	inf	(-.f64 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) x) x) (cos.f64 x))

Compiler

Compiled 2345 to 1105 computations (52.9% saved)

rewrite1.5s (6.1%)

Algorithm

1×	batch-egg-rewrite

Rules

109×	`egg-rr`
97×	`egg-rr`

Counts

2 → 206

Calls

Call 1

Inputs
(-.f64 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) x) x) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) x) x)

Outputs
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Outputs

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simplify2.1s (8.7%)

Algorithm

1×

egglog

Details

analyze0.0ms (0%)

sample3.4s (14.3%)

preprocess2.9s (12.2%)

simplify1.5s (6.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize9.0ms (0%)

series18.0ms (0.1%)

rewrite1.5s (6.2%)

simplify3.9s (16.2%)

eval54.0ms (0.2%)

prune71.0ms (0.3%)

localize18.0ms (0.1%)

series25.0ms (0.1%)

rewrite1.6s (6.8%)

simplify5.4s (22.4%)

localize5.0ms (0%)

localize12.0ms (0%)

series18.0ms (0.1%)

rewrite1.5s (6.1%)

simplify2.1s (8.7%)

end0.0ms (0%)

Profiling