Metrics for 2tan (problem 3.3.2)

analyze54.0ms (0.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50.6%	49.4%	0%	0%	0%	0
0%	0%	50.6%	49.4%	0%	0%	0%	1
0%	0%	50.6%	49.4%	0%	0%	0%	2
0%	0%	25.3%	74.7%	0%	0%	0%	3
0%	0%	25.3%	74.7%	0%	0%	0%	4
0%	0%	19%	81%	0%	0%	0%	5
0%	0%	15.8%	84.2%	0%	0%	0%	6
0%	0%	11.1%	88.9%	0%	0%	0%	7
0%	0%	8.7%	91.3%	0%	0%	0%	8
0%	0%	5.9%	94.1%	0%	0%	0%	9
0%	0%	4.5%	95.5%	0%	0%	0%	10
0%	0%	3.1%	96.9%	0%	0%	0%	11
0%	0%	2.7%	97.3%	0%	0%	0%	12

Compiler

Compiled 28 to 18 computations (35.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

Operation ival-tan, time spent: 8.0ms, 27.0% of total-time

Operation ival-sub, time spent: 6.0ms, 21.0% of total-time

Operation ival-mult, time spent: 3.0ms, 10.0% of total-time

Operation ival-fabs, time spent: 3.0ms, 10.0% of total-time

Operation ival-<=, time spent: 3.0ms, 10.0% of total-time

Operation ival-<, time spent: 3.0ms, 10.0% of total-time

Operation ival-add, time spent: 2.0ms, 7.0% of total-time

Operation ival-and, time spent: 1.0ms, 3.0% of total-time

Operation const, time spent: 1.0ms, 3.0% of total-time

sample8.0s (23.4%)

Results

4.6s	25881×	0	precondition
1.2s	6111×	0	valid
822.0ms	2144×	1	valid
0.0ms	1×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.7s

Operation ival-tan, time spent: 836.0ms, 23.0% of total-time

Operation ival-mult, time spent: 578.0ms, 16.0% of total-time

Operation ival-<=, time spent: 467.0ms, 13.0% of total-time

Operation ival-fabs, time spent: 457.0ms, 12.0% of total-time

Operation ival-sub, time spent: 436.0ms, 12.0% of total-time

Operation ival-<, time spent: 374.0ms, 10.0% of total-time

Operation ival-add, time spent: 267.0ms, 7.0% of total-time

Operation ival-and, time spent: 127.0ms, 3.0% of total-time

Operation backward-pass, time spent: 102.0ms, 3.0% of total-time

Operation const, time spent: 70.0ms, 2.0% of total-time

Bogosity

preprocess198.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

154×	`fma-neg`
59×	`fma-define`
49×	`sub-neg`
39×	`cancel-sign-sub-inv`
35×	`associate--r+`

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
227	2	(-1.7564231793852622e-13 1.7353626393041744e-15)	2	(-9.600581873829118e-174 9.775419873433483e-176)	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
1	0	-	0	-	`(tan.f64 (+.f64 x eps))`
0	0	-	0	-	`x`
0	0	-	0	-	`(+.f64 x eps)`
0	0	-	0	-	`(tan.f64 x)`
0	0	-	0	-	`eps`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	226
1	49	210
2	101	210
3	201	210
4	378	210
5	481	210
6	638	210
7	720	210
8	762	210
9	768	210

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (neg.f64 x) eps)) (tan.f64 (neg.f64 x)))
(-.f64 (tan.f64 (+.f64 x (neg.f64 eps))) (tan.f64 x))
(neg.f64 (-.f64 (tan.f64 (+.f64 (neg.f64 x) eps)) (tan.f64 (neg.f64 x))))
(neg.f64 (-.f64 (tan.f64 (+.f64 x (neg.f64 eps))) (tan.f64 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 eps))

Outputs
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (neg.f64 x) eps)) (tan.f64 (neg.f64 x)))
(-.f64 (tan.f64 (+.f64 eps (neg.f64 x))) (neg.f64 (tan.f64 x)))
(+.f64 (tan.f64 x) (tan.f64 (-.f64 eps x)))
(-.f64 (tan.f64 (+.f64 x (neg.f64 eps))) (tan.f64 x))
(-.f64 (tan.f64 (-.f64 x eps)) (tan.f64 x))
(neg.f64 (-.f64 (tan.f64 (+.f64 (neg.f64 x) eps)) (tan.f64 (neg.f64 x))))
(-.f64 (tan.f64 (-.f64 x eps)) (tan.f64 x))
(neg.f64 (-.f64 (tan.f64 (+.f64 x (neg.f64 eps))) (tan.f64 x)))
(-.f64 (tan.f64 (+.f64 eps (neg.f64 x))) (neg.f64 (tan.f64 x)))
(+.f64 (tan.f64 x) (tan.f64 (-.f64 eps x)))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 eps))

Compiler

Compiled 51 to 20 computations (60.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

Operation ival-tan, time spent: 9.0ms, 51.0% of total-time

Operation ival-sub, time spent: 6.0ms, 34.0% of total-time

Operation ival-add, time spent: 3.0ms, 17.0% of total-time

Operation const, time spent: 1.0ms, 6.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.4%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize40.0ms (0.1%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	99.9%	(tan.f64 (+.f64 x eps))
✓	61.5%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Compiler

Compiled 21 to 7 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

Operation ival-tan, time spent: 4.0ms, 54.0% of total-time

Operation ival-add, time spent: 2.0ms, 27.0% of total-time

Operation ival-sub, time spent: 1.0ms, 13.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

series15.0ms (0%)

Counts

2 → 48

Calls

Call 1

Inputs
#<alt (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))>
#<alt (tan.f64 (+.f64 x eps))>

Outputs
#<alt (/.f64 (sin.f64 eps) (cos.f64 eps))>
#<alt (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 x (-.f64 (/.f64 (.f64 x (.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))) (cos.f64 eps)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))>
#<alt (+.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (cos.f64 eps))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))>
#<alt (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))>
#<alt (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))>
#<alt (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))>
#<alt (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))>
#<alt (-.f64 (/.f64 (sin.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x))) (cos.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x)))) (/.f64 (sin.f64 x) (cos.f64 x)))>
#<alt (-.f64 (/.f64 (sin.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x))) (cos.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x)))) (/.f64 (sin.f64 x) (cos.f64 x)))>
#<alt (-.f64 (/.f64 (sin.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x))) (cos.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x)))) (/.f64 (sin.f64 x) (cos.f64 x)))>
#<alt (-.f64 (/.f64 (sin.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x))) (cos.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x)))) (/.f64 (sin.f64 x) (cos.f64 x)))>
#<alt (.f64 eps (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))>
#<alt (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 eps (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))>
#<alt (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))>
#<alt (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x)))))) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))>
#<alt (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))>
#<alt (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))>
#<alt (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))>
#<alt (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))>
#<alt (-.f64 (/.f64 (sin.f64 (-.f64 x (.f64 #s(literal -1 binary64) eps))) (cos.f64 (-.f64 x (.f64 #s(literal -1 binary64) eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))>
#<alt (-.f64 (/.f64 (sin.f64 (-.f64 x (.f64 #s(literal -1 binary64) eps))) (cos.f64 (-.f64 x (.f64 #s(literal -1 binary64) eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))>
#<alt (-.f64 (/.f64 (sin.f64 (-.f64 x (.f64 #s(literal -1 binary64) eps))) (cos.f64 (-.f64 x (.f64 #s(literal -1 binary64) eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))>
#<alt (-.f64 (/.f64 (sin.f64 (-.f64 x (.f64 #s(literal -1 binary64) eps))) (cos.f64 (-.f64 x (.f64 #s(literal -1 binary64) eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))>
#<alt (/.f64 (sin.f64 eps) (cos.f64 eps))>
#<alt (+.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))>
#<alt (+.f64 (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))) (cos.f64 eps))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))>
#<alt (+.f64 (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (cos.f64 eps)))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))>
#<alt (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))>
#<alt (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))>
#<alt (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))>
#<alt (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))>
#<alt (/.f64 (sin.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x))) (cos.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x))))>
#<alt (/.f64 (sin.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x))) (cos.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x))))>
#<alt (/.f64 (sin.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x))) (cos.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x))))>
#<alt (/.f64 (sin.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x))) (cos.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x))))>
#<alt (/.f64 (sin.f64 x) (cos.f64 x))>
#<alt (+.f64 (.f64 eps (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (sin.f64 x) (cos.f64 x)))>
#<alt (+.f64 (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 eps (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (sin.f64 x) (cos.f64 x)))>
#<alt (+.f64 (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (sin.f64 x) (cos.f64 x)))>
#<alt (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))>
#<alt (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))>
#<alt (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))>
#<alt (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))>
#<alt (/.f64 (sin.f64 (-.f64 x (.f64 #s(literal -1 binary64) eps))) (cos.f64 (-.f64 x (.f64 #s(literal -1 binary64) eps))))>
#<alt (/.f64 (sin.f64 (-.f64 x (.f64 #s(literal -1 binary64) eps))) (cos.f64 (-.f64 x (.f64 #s(literal -1 binary64) eps))))>
#<alt (/.f64 (sin.f64 (-.f64 x (.f64 #s(literal -1 binary64) eps))) (cos.f64 (-.f64 x (.f64 #s(literal -1 binary64) eps))))>
#<alt (/.f64 (sin.f64 (-.f64 x (.f64 #s(literal -1 binary64) eps))) (cos.f64 (-.f64 x (.f64 #s(literal -1 binary64) eps))))>

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	eps	@	0	(- (tan (+ x eps)) (tan x))
2.0ms	eps	@	inf	(- (tan (+ x eps)) (tan x))
2.0ms	x	@	0	(- (tan (+ x eps)) (tan x))
1.0ms	x	@	inf	(- (tan (+ x eps)) (tan x))
1.0ms	x	@	-inf	(- (tan (+ x eps)) (tan x))

rewrite246.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

929×	`log1p-expm1-u`
929×	`expm1-log1p-u`
883×	`prod-diff`
342×	`fma-define`
169×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	47
1	156	47
2	2346	47

Stop Event

1×	node limit

Counts

2 → 117

Calls

Call 1

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

Outputs
(+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64)))
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64) (tan.f64 x)))
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (tan.f64 x)))
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (fma.f64 #s(literal -1 binary64) (tan.f64 x) (tan.f64 x)))
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (tan.f64 x)) (tan.f64 x)))
(+.f64 (neg.f64 (tan.f64 x)) (tan.f64 (+.f64 x eps)))
(+.f64 (fma.f64 (tan.f64 (+.f64 x eps)) #s(literal 1 binary64) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))))
(+.f64 (fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))))
(+.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))))
(+.f64 (fma.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))))
(+.f64 (fma.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64)) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))))
(+.f64 (fma.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))))
(*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(*.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(*.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(/.f64 (-.f64 (.f64 (sin.f64 (+.f64 x eps)) (cos.f64 x)) (.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x))) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(/.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (tan.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x))) (.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))) (-.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))))
(pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 1 binary64)))
(fma.f64 (tan.f64 (+.f64 x eps)) #s(literal 1 binary64) (neg.f64 (tan.f64 x)))
(fma.f64 (tan.f64 (+.f64 x eps)) #s(literal 1 binary64) (*.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64)))
(fma.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 1 binary64) (fma.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64) (tan.f64 x)))
(fma.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (tan.f64 x)))
(fma.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 1 binary64) (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))
(fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (*.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64)))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) (.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(fma.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)) (*.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64) (tan.f64 x)))
(fma.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (tan.f64 x)))
(fma.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))
(fma.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 x)) (tan.f64 (+.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (tan.f64 x))) (tan.f64 (+.f64 x eps)))
(fma.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64)) (neg.f64 (tan.f64 x)))
(fma.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64)) (*.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 (+.f64 x eps))) (*.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64) (tan.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (tan.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 2 binary64)) (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (fma.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64) (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))
(fma.f64 (sqrt.f64 (tan.f64 x)) (neg.f64 (sqrt.f64 (tan.f64 x))) (tan.f64 (+.f64 x eps)))
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))) (*.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (fma.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64) (tan.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (tan.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))
(fma.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64) (tan.f64 x)))
(fma.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (tan.f64 x)))
(fma.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)))) (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))
(fma.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (fma.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64) (tan.f64 x)))
(fma.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (tan.f64 x)))
(fma.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 (+.f64 x eps)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (tan.f64 x))) (cbrt.f64 (neg.f64 (tan.f64 x)))) (cbrt.f64 (neg.f64 (tan.f64 x))) (tan.f64 (+.f64 x eps)))
(fma.f64 (sqrt.f64 (neg.f64 (tan.f64 x))) (sqrt.f64 (neg.f64 (tan.f64 x))) (tan.f64 (+.f64 x eps)))
(fma.f64 #s(literal -1 binary64) (tan.f64 x) (tan.f64 (+.f64 x eps)))
(fma.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) (fma.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64) (tan.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (tan.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (tan.f64 x)) (tan.f64 (+.f64 x eps)))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) #s(literal 1 binary64))
(*.f64 (tan.f64 (+.f64 x eps)) #s(literal 1 binary64))
(*.f64 (sin.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))))
(.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))
(*.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 (+.f64 x eps))))
(*.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))
(pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (tan.f64 (+.f64 x eps))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (tan.f64 (+.f64 x eps)))))
(cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps))))
(log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps))))
(exp.f64 (log.f64 (tan.f64 (+.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (tan.f64 (+.f64 x eps))) #s(literal 1 binary64)))

simplify132.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

526×	`distribute-lft-in`
523×	`distribute-rgt-in`
352×	`associate-+l+`
319×	`fma-neg`
312×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	351	10553
1	885	9844
2	2902	9429

Stop Event

1×	node limit

Counts

165 → 191

Calls

Call 1

Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))
(+.f64 (.f64 x (-.f64 (/.f64 (.f64 x (.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))) (cos.f64 eps)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (cos.f64 eps))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x))) (cos.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x))) (cos.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x))) (cos.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x))) (cos.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(.f64 eps (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 eps (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x)))))) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (.f64 #s(literal -1 binary64) eps))) (cos.f64 (-.f64 x (.f64 #s(literal -1 binary64) eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (.f64 #s(literal -1 binary64) eps))) (cos.f64 (-.f64 x (.f64 #s(literal -1 binary64) eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (.f64 #s(literal -1 binary64) eps))) (cos.f64 (-.f64 x (.f64 #s(literal -1 binary64) eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (.f64 #s(literal -1 binary64) eps))) (cos.f64 (-.f64 x (.f64 #s(literal -1 binary64) eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))) (cos.f64 eps))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (cos.f64 eps)))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x))) (cos.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x))))
(/.f64 (sin.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x))) (cos.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x))))
(/.f64 (sin.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x))) (cos.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x))))
(/.f64 (sin.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x))) (cos.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x))))
(/.f64 (sin.f64 x) (cos.f64 x))
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(fma.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (tan.f64 x)))
(fma.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 (+.f64 x eps)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (tan.f64 x))) (cbrt.f64 (neg.f64 (tan.f64 x)))) (cbrt.f64 (neg.f64 (tan.f64 x))) (tan.f64 (+.f64 x eps)))
(fma.f64 (sqrt.f64 (neg.f64 (tan.f64 x))) (sqrt.f64 (neg.f64 (tan.f64 x))) (tan.f64 (+.f64 x eps)))
(fma.f64 #s(literal -1 binary64) (tan.f64 x) (tan.f64 (+.f64 x eps)))
(fma.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) (fma.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64) (tan.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (tan.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (tan.f64 x)) (tan.f64 (+.f64 x eps)))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) #s(literal 1 binary64))
(*.f64 (tan.f64 (+.f64 x eps)) #s(literal 1 binary64))
(*.f64 (sin.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))))
(.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))
(*.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 (+.f64 x eps))))
(*.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))
(pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (tan.f64 (+.f64 x eps))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (tan.f64 (+.f64 x eps)))))
(cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps))))
(log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps))))
(exp.f64 (log.f64 (tan.f64 (+.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (tan.f64 (+.f64 x eps))) #s(literal 1 binary64)))

Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))
(fma.f64 x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (.f64 x (-.f64 (/.f64 (.f64 x (.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))) (cos.f64 eps)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fma.f64 x (-.f64 (.f64 x (.f64 (sin.f64 eps) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (cos.f64 eps)))) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fma.f64 x (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (cos.f64 eps))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fma.f64 x (fma.f64 x (.f64 #s(literal -1 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1/6 binary64)))))) (*.f64 (sin.f64 eps) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (cos.f64 eps))))) (neg.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fma.f64 x (fma.f64 x (fma.f64 (neg.f64 x) (+.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fma.f64 x (fma.f64 x (fma.f64 x (+.f64 (.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (neg.f64 (+.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) #s(literal 1/2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x))) (cos.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x))) (cos.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x))) (cos.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x))) (cos.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(.f64 eps (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 eps (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (.f64 eps (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
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eval93.0ms (0.3%)

Compiler: Compiled 5617 to 2509 computations (55.3% saved)

prune39.0ms (0.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	182	9	191
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	182	10	192

Accuracy

100.0%

Counts

192 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.3%	(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 3 binary64))
▶	99.3%	(/.f64 (sin.f64 eps) (cos.f64 eps))
▶	30.8%	(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64)) (tan.f64 x))
	61.5%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
✓	61.4%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	99.4%	(+.f64 (.f64 x (-.f64 (/.f64 (.f64 x (.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))) (cos.f64 eps)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
▶	100.0%	(.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
▶	99.7%	(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
▶	99.9%	(.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (.f64 eps (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
	60.6%	(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))

Compiler

Compiled 521 to 360 computations (30.9% saved)

localize1.6s (4.8%)

Localize:

Found 15 expressions with local error:

New	Accuracy	Program
✓	100.0%	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
✓	100.0%	(/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))
✓	100.0%	(.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (.f64 eps (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
✓	99.9%	(-.f64 (.f64 eps (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
✓	100.0%	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
✓	100.0%	(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
	99.9%	(tan.f64 (+.f64 x eps))
✓	99.9%	(sqrt.f64 (tan.f64 (+.f64 x eps)))
✓	99.6%	(pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64))
✓	81.1%	(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64)) (tan.f64 x))
✓	100.0%	(/.f64 (sin.f64 eps) (cos.f64 eps))
✓	99.9%	(.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))
✓	99.8%	(*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
✓	99.7%	(.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))
✓	99.2%	(+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))

Compiler

Compiled 1191 to 768 computations (35.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.1s

Operation ival-pow, time spent: 448.0ms, 42.0% of total-time

Operation ival-mult, time spent: 238.0ms, 22.0% of total-time

Operation ival-div, time spent: 147.0ms, 14.0% of total-time

Operation ival-sub, time spent: 135.0ms, 13.0% of total-time

Operation ival-add, time spent: 51.0ms, 5.0% of total-time

Operation const, time spent: 33.0ms, 3.0% of total-time

Operation ival-neg, time spent: 12.0ms, 1.0% of total-time

Operation ival-sin, time spent: 5.0ms, 0.0% of total-time

Operation ival-tan, time spent: 4.0ms, 0.0% of total-time

Operation ival-cos, time spent: 4.0ms, 0.0% of total-time

Operation ival-sqrt, time spent: 2.0ms, 0.0% of total-time

series93.0ms (0.3%)

Counts

14 → 176

Calls

Call 1

Inputs
#<alt (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))>
#<alt (.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))>
#<alt (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))>
#<alt (/.f64 (sin.f64 eps) (cos.f64 eps))>
#<alt (-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64)) (tan.f64 x))>
#<alt (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64))>
#<alt (sqrt.f64 (tan.f64 (+.f64 x eps)))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))>
#<alt (pow.f64 (sin.f64 x) #s(literal 2 binary64))>
#<alt (-.f64 (.f64 eps (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))>
#<alt (.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (.f64 eps (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))>
#<alt (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))>
#<alt (pow.f64 (sin.f64 x) #s(literal 2 binary64))>

Outputs
#<alt #s(literal -1/3 binary64)>
#<alt (-.f64 (*.f64 #s(literal -4/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))>
#<alt (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -17/9 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))) #s(literal 1/3 binary64))>
#<alt (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -248/135 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 17/9 binary64))) #s(literal 4/3 binary64))) #s(literal 1/3 binary64))>
#<alt (*.f64 #s(literal -1/3 binary64) eps)>
#<alt (+.f64 (.f64 #s(literal -4/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) eps))>
#<alt (+.f64 (.f64 #s(literal -1/3 binary64) eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -17/9 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -4/3 binary64) eps))))>
#<alt (+.f64 (.f64 #s(literal -1/3 binary64) eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -4/3 binary64) eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -17/9 binary64) eps) (.f64 #s(literal -248/135 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 17/270 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/9 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 17/270 binary64) (.f64 #s(literal 31/945 binary64) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (/.f64 (.f64 eps (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (cos.f64 x))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 eps (cos.f64 x)))))>
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#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 eps (cos.f64 x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))>
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#<alt (-.f64 (/.f64 (sin.f64 (-.f64 x (.f64 #s(literal -1 binary64) eps))) (cos.f64 (-.f64 x (.f64 #s(literal -1 binary64) eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))>
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#<alt (.f64 eps (+.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))>
#<alt (/.f64 (.f64 eps (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))>
#<alt (*.f64 eps x)>
#<alt (*.f64 x (+.f64 eps x))>
#<alt (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 5/6 binary64) eps) (*.f64 #s(literal -1/2 binary64) eps)))))))>
#<alt (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (+.f64 (.f64 #s(literal 2/3 binary64) x) (.f64 #s(literal 5/6 binary64) eps)) (.f64 #s(literal -1/2 binary64) eps)))))))>
#<alt (+.f64 (/.f64 (.f64 eps (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (.f64 eps (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (.f64 eps (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (.f64 eps (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (.f64 eps (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (.f64 eps (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (.f64 eps (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (.f64 eps (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))>
#<alt (.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))>
#<alt (.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))>
#<alt (.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))>
#<alt (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))>
#<alt (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))>
#<alt eps>
#<alt (+.f64 eps (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (+.f64 eps (.f64 x (+.f64 (.f64 eps x) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (+.f64 eps (.f64 x (+.f64 (.f64 x (+.f64 eps (.f64 eps (.f64 x (-.f64 (.f64 #s(literal 5/6 binary64) eps) (.f64 #s(literal -1/2 binary64) eps)))))) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))>
#<alt (.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))>
#<alt (.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))>
#<alt (.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))>
#<alt (.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))>
#<alt (.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))>
#<alt (.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))>
#<alt (.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 17/15 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 17/15 binary64) (.f64 #s(literal 248/315 binary64) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))>
#<alt (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))>
#<alt (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))>
#<alt (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))>
#<alt (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))>
#<alt (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))>
#<alt (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))>
#<alt (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/45 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/45 binary64) (.f64 #s(literal -1/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64)))))>

Calls

66 calls:

Time	Variable		Point	Expression
13.0ms	eps	@	0	(* eps (+ 1 (- (* eps (/ (* (sin x) (- 1 (neg (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (neg (/ (pow (sin x) 2) (pow (cos x) 2))))))
7.0ms	eps	@	-inf	(* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
5.0ms	x	@	inf	(+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
4.0ms	eps	@	0	(* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
3.0ms	x	@	-inf	(+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))

rewrite186.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

454×	`log1p-expm1-u`
454×	`expm1-log1p-u`
439×	`add-exp-log`
437×	`add-log-exp`
428×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	1129
1	1096	1067

Stop Event

1×	node limit

Counts

14 → 269

Calls

Call 1

Inputs
(+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))
(*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64)) (tan.f64 x))
(pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64))
(sqrt.f64 (tan.f64 (+.f64 x eps)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(-.f64 (.f64 eps (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (.f64 eps (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))

Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (*.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))))))
(.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (*.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))))))
(.f64 (sqrt.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (*.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))))))
(/.f64 (+.f64 #s(literal 1/216 binary64) (pow.f64 (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1/36 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))))))))
(/.f64 (-.f64 #s(literal 1/36 binary64) (pow.f64 (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) #s(literal 2 binary64))) (-.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))))))
(pow.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (*.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (*.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (*.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (*.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))))) #s(literal 2 binary64))
(log.f64 (exp.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (*.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (*.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))))))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (*.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (*.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (*.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))))))
(exp.f64 (log.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (*.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))))))
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(log1p.f64 (expm1.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 (sin.f64 x) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (cos.f64 x))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))))))))
(exp.f64 (+.f64 (log1p.f64 (fma.f64 eps (.f64 (sin.f64 x) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (cos.f64 x))) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))))) (log.f64 eps)))
(exp.f64 (.f64 (+.f64 (log1p.f64 (fma.f64 eps (.f64 (sin.f64 x) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (cos.f64 x))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))))) (log.f64 eps)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) eps (.f64 (fma.f64 eps (.f64 (sin.f64 x) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (cos.f64 x))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) eps))
(fma.f64 eps #s(literal 1 binary64) (.f64 eps (fma.f64 eps (.f64 (sin.f64 x) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (cos.f64 x))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))))))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) (.f64 (fma.f64 eps (.f64 (sin.f64 x) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (cos.f64 x))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) eps))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (.f64 (fma.f64 eps (.f64 (sin.f64 x) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (cos.f64 x))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) eps))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (cos.f64 x))))) #s(literal 1 binary64))
(*.f64 (sin.f64 x) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (cos.f64 x)))
(.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (cos.f64 x))))
(.f64 (.f64 (sin.f64 x) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (cos.f64 x)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (cos.f64 x)))))
(.f64 (sqrt.f64 (.f64 (sin.f64 x) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (cos.f64 x)))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (cos.f64 x)))))
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (cos.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (cos.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (cos.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (cos.f64 x)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (cos.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (cos.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (cos.f64 x))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (cos.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (cos.f64 x)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (cos.f64 x)))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 x) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (cos.f64 x)))) #s(literal 1 binary64)))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (sin.f64 x) (sin.f64 x))
(*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x))) #s(literal 2 binary64))
(log.f64 (exp.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))

simplify310.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

699×	`associate-r`
617×	`associate-l`
609×	`fma-define`
379×	`distribute-rgt-in`
379×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	964	43029
1	2451	40256

Stop Event

1×	node limit

Counts

445 → 499

Calls

Call 1

Inputs
#s(literal -1/3 binary64)
(-.f64 (*.f64 #s(literal -4/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))
(-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -17/9 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))) #s(literal 1/3 binary64))
(-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -248/135 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 17/9 binary64))) #s(literal 4/3 binary64))) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/3 binary64) eps)
(+.f64 (.f64 #s(literal -4/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) eps))
(+.f64 (.f64 #s(literal -1/3 binary64) eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -17/9 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -4/3 binary64) eps))))
(+.f64 (.f64 #s(literal -1/3 binary64) eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -4/3 binary64) eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -17/9 binary64) eps) (.f64 #s(literal -248/135 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 17/270 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/9 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 17/270 binary64) (.f64 #s(literal 31/945 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(/.f64 (.f64 eps (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (cos.f64 x))
(.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))))
(.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))))
(.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 eps (cos.f64 x)))))
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eps
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(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))

Outputs
#s(literal -1/3 binary64)
(-.f64 (*.f64 #s(literal -4/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))
(fma.f64 #s(literal -4/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64))
(-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -17/9 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))) #s(literal 1/3 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -17/9 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -4/3 binary64)) #s(literal -1/3 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/9 binary64) #s(literal -4/3 binary64)) #s(literal -1/3 binary64))
(-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -248/135 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 17/9 binary64))) #s(literal 4/3 binary64))) #s(literal 1/3 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -248/135 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -17/9 binary64)) #s(literal -4/3 binary64)) #s(literal -1/3 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -248/135 binary64) #s(literal -17/9 binary64)) #s(literal -4/3 binary64)) #s(literal -1/3 binary64))
(*.f64 #s(literal -1/3 binary64) eps)
(+.f64 (.f64 #s(literal -4/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) eps))
(fma.f64 #s(literal -4/3 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) eps) (.f64 #s(literal -1/3 binary64) eps))
(fma.f64 (.f64 #s(literal -4/3 binary64) eps) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1/3 binary64) eps))
(+.f64 (.f64 #s(literal -1/3 binary64) eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -17/9 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -4/3 binary64) eps))))
(fma.f64 #s(literal -1/3 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -17/9 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) eps) (*.f64 #s(literal -4/3 binary64) eps))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4/3 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal -17/9 binary64) eps))) (*.f64 #s(literal -1/3 binary64) eps))
(+.f64 (.f64 #s(literal -1/3 binary64) eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -4/3 binary64) eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -17/9 binary64) eps) (.f64 #s(literal -248/135 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))
(fma.f64 #s(literal -1/3 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4/3 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -17/9 binary64) eps (.f64 (.f64 #s(literal -248/135 binary64) eps) (pow.f64 x #s(literal 2 binary64))))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -248/135 binary64) eps) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal -17/9 binary64) eps)) (.f64 #s(literal -4/3 binary64) eps)) (.f64 #s(literal -1/3 binary64) eps))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64) #s(literal 1/6 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 17/270 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 17/270 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 17/270 binary64) #s(literal 1/9 binary64)) #s(literal 1/6 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/9 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 17/270 binary64) (.f64 #s(literal 31/945 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/9 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 17/270 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 31/945 binary64))))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 31/945 binary64) #s(literal 17/270 binary64)) #s(literal 1/9 binary64)) #s(literal 1/6 binary64)))
(/.f64 (.f64 eps (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (cos.f64 x))
(.f64 eps (.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))))
(*.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)))
(.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))))
(.f64 eps (fma.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (*.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))))
(.f64 eps (fma.f64 (neg.f64 eps) (+.f64 #s(literal 1/6 binary64) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))
(.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))))
(.f64 eps (fma.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (*.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))))
(.f64 eps (fma.f64 (neg.f64 eps) (+.f64 #s(literal 1/6 binary64) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))
(.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))))
(.f64 eps (fma.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (*.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))))
(.f64 eps (fma.f64 (neg.f64 eps) (+.f64 #s(literal 1/6 binary64) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))
(neg.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 eps #s(literal 2 binary64))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal -1/6 binary64) (neg.f64 (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))
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eps
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eps
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x
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (cos.f64 x))))))
(*.f64 (sin.f64 x) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (cos.f64 x)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (cos.f64 x))) #s(literal 3 binary64)))
(*.f64 (sin.f64 x) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (cos.f64 x)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))
(*.f64 (sin.f64 x) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (cos.f64 x)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (cos.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (cos.f64 x)))))
(*.f64 (sin.f64 x) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (cos.f64 x)))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (cos.f64 x)))))
(*.f64 (sin.f64 x) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (cos.f64 x)))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 x) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (cos.f64 x)))) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (cos.f64 x)))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(*.f64 (sin.f64 x) (sin.f64 x))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(exp.f64 (log.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))

eval900.0ms (2.6%)

Compiler: Compiled 45424 to 29504 computations (35% saved)

prune233.0ms (0.7%)

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	762	14	776
Fresh	2	2	4
Picked	3	2	5
Done	0	1	1
Total	767	19	786

Accuracy

100.0%

Counts

786 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.3%	(/.f64 (sin.f64 eps) (cos.f64 eps))
✓	30.8%	(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64)) (tan.f64 x))
	61.5%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
✓	61.4%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	99.6%	(+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 17/45 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2/3 binary64) eps))))))
	99.5%	(+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (.f64 (*.f64 eps #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2 binary64))))))
▶	99.4%	(+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) eps))
	100.0%	(.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
	99.9%	(.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps #s(literal -1/3 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
▶	100.0%	(.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 eps (fma.f64 (.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))))) (.f64 (sin.f64 x) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (cos.f64 x))))))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
	99.7%	(.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
▶	99.9%	(.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (.f64 eps (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
	99.6%	(.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4/3 binary64))))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
	99.7%	(.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (.f64 eps x) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
	99.4%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x eps))))
	99.5%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 2/3 binary64)) (.f64 eps #s(literal 4/3 binary64))))))))))
	99.3%	(tan.f64 eps)
▶	60.6%	(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
▶	99.3%	eps

Compiler

Compiled 972 to 696 computations (28.4% saved)

localize8.7s (25.4%)

Localize:

Found 12 expressions with local error:

New	Accuracy	Program
✓	100.0%	(.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (.f64 eps (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
	100.0%	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
✓	99.8%	(-.f64 (.f64 eps (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
✓	49.9%	(-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
	99.9%	(tan.f64 (+.f64 x eps))
✓	90.7%	(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
	61.5%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
✓	99.8%	(*.f64 (pow.f64 x #s(literal 2 binary64)) eps)
✓	100.0%	(.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 eps (fma.f64 (.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))))) (.f64 (sin.f64 x) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (cos.f64 x))))))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
✓	99.8%	(.f64 eps (fma.f64 (.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))))) (.f64 (sin.f64 x) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (cos.f64 x)))))
✓	98.4%	(+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (*.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))))
✓	50.5%	(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 eps (fma.f64 (.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))))) (.f64 (sin.f64 x) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (cos.f64 x))))))))

Compiler

Compiled 1176 to 731 computations (37.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.1s

Operation ival-pow, time spent: 2.5s, 31.0% of total-time

Operation composed, time spent: 1.4s, 18.0% of total-time

Operation ival-mult, time spent: 1.1s, 14.0% of total-time

Operation ival-exp, time spent: 635.0ms, 8.0% of total-time

Operation ival-cos, time spent: 490.0ms, 6.0% of total-time

Operation ival-add, time spent: 467.0ms, 6.0% of total-time

Operation ival-tan, time spent: 377.0ms, 5.0% of total-time

Operation ival-div, time spent: 351.0ms, 4.0% of total-time

Operation ival-log, time spent: 315.0ms, 4.0% of total-time

Operation ival-sub, time spent: 144.0ms, 2.0% of total-time

Operation const, time spent: 124.0ms, 2.0% of total-time

Operation ival-sin, time spent: 75.0ms, 1.0% of total-time

Operation ival-neg, time spent: 65.0ms, 1.0% of total-time

series75.0ms (0.2%)

Counts

9 → 192

Calls

Call 1

Inputs
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 eps (fma.f64 (.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))))) (.f64 (sin.f64 x) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (cos.f64 x))))))))>
#<alt (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (*.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))))>
#<alt (.f64 eps (fma.f64 (.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))))) (.f64 (sin.f64 x) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (cos.f64 x)))))>
#<alt (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 eps (fma.f64 (.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))))) (.f64 (sin.f64 x) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (cos.f64 x))))))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) eps)>
#<alt (exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))>
#<alt (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))>
#<alt (-.f64 (.f64 eps (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))>
#<alt (.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (.f64 eps (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))>

Outputs
#<alt (/.f64 (.f64 eps (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 eps (cos.f64 x)))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 eps (cos.f64 x)))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 eps (cos.f64 x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 eps (cos.f64 x)))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 eps (cos.f64 x)))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 eps (cos.f64 x)))))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 eps x))>
#<alt (+.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 x (+.f64 eps (.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (+.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 x (+.f64 eps (.f64 x (+.f64 (.f64 #s(literal 4/3 binary64) (.f64 eps x)) (.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))))>
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#<alt (-.f64 (/.f64 (sin.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x))) (cos.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x)))) (/.f64 (sin.f64 x) (cos.f64 x)))>
#<alt (-.f64 (/.f64 (sin.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x))) (cos.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x)))) (/.f64 (sin.f64 x) (cos.f64 x)))>
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#<alt (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (.f64 eps (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))) (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))>
#<alt (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (.f64 eps (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))) (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))>
#<alt (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))>
#<alt (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))>
#<alt eps>
#<alt (+.f64 eps (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (+.f64 eps (.f64 x (+.f64 (.f64 eps x) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (+.f64 eps (.f64 x (+.f64 (.f64 x (+.f64 eps (.f64 eps (.f64 x (-.f64 (.f64 #s(literal 5/6 binary64) eps) (.f64 #s(literal -1/2 binary64) eps)))))) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (.f64 eps (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))) (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))>
#<alt (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (.f64 eps (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))) (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))>
#<alt (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (.f64 eps (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))) (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))>
#<alt (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (.f64 eps (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))) (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))>
#<alt (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (.f64 eps (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))) (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))>
#<alt (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (.f64 eps (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))) (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))>
#<alt (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (.f64 eps (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))) (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))>
#<alt (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (.f64 eps (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))) (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))>

Calls

48 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	(log (+ 1 (- (exp (* eps (+ (* (* -1 eps) (+ 1/6 (+ (* -1 (* (pow (sin x) 2) (/ (+ (* (pow (sin x) 2) (pow (cos x) -2)) 1) (pow (cos x) 2)))) (+ (* 1/6 (* (pow (sin x) 2) (pow (cos x) -2))) (* (+ (* (pow (sin x) 2) (pow (cos x) -2)) 1) -1/2))))) (* (sin x) (/ (+ (* (pow (sin x) 2) (pow (cos x) -2)) 1) (cos x)))))) 1)))
4.0ms	x	@	-inf	(log (+ 1 (- (exp (* eps (+ (* (* -1 eps) (+ 1/6 (+ (* -1 (* (pow (sin x) 2) (/ (+ (* (pow (sin x) 2) (pow (cos x) -2)) 1) (pow (cos x) 2)))) (+ (* 1/6 (* (pow (sin x) 2) (pow (cos x) -2))) (* (+ (* (pow (sin x) 2) (pow (cos x) -2)) 1) -1/2))))) (* (sin x) (/ (+ (* (pow (sin x) 2) (pow (cos x) -2)) 1) (cos x)))))) 1)))
4.0ms	eps	@	inf	(log (+ 1 (- (exp (* eps (+ (* (* -1 eps) (+ 1/6 (+ (* -1 (* (pow (sin x) 2) (/ (+ (* (pow (sin x) 2) (pow (cos x) -2)) 1) (pow (cos x) 2)))) (+ (* 1/6 (* (pow (sin x) 2) (pow (cos x) -2))) (* (+ (* (pow (sin x) 2) (pow (cos x) -2)) 1) -1/2))))) (* (sin x) (/ (+ (* (pow (sin x) 2) (pow (cos x) -2)) 1) (cos x)))))) 1)))
3.0ms	x	@	inf	(- (* eps (/ (* (sin x) (- 1 (neg (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (neg (/ (- 1/2 (/ (cos (* x 2)) 2)) (pow (cos x) 2))))
3.0ms	eps	@	0	(log (+ 1 (- (exp (* eps (+ (* (* -1 eps) (+ 1/6 (+ (* -1 (* (pow (sin x) 2) (/ (+ (* (pow (sin x) 2) (pow (cos x) -2)) 1) (pow (cos x) 2)))) (+ (* 1/6 (* (pow (sin x) 2) (pow (cos x) -2))) (* (+ (* (pow (sin x) 2) (pow (cos x) -2)) 1) -1/2))))) (* (sin x) (/ (+ (* (pow (sin x) 2) (pow (cos x) -2)) 1) (cos x)))))) 1)))

rewrite260.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

532×	`log1p-expm1-u`
531×	`expm1-log1p-u`
515×	`add-exp-log`
511×	`add-log-exp`
510×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	64	1327
1	1178	1323

Stop Event

1×	node limit

Counts

9 → 188

Calls

Call 1

Inputs
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 eps (fma.f64 (.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))))) (.f64 (sin.f64 x) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (cos.f64 x))))))))
(+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (*.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))))
(.f64 eps (fma.f64 (.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))))) (.f64 (sin.f64 x) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (cos.f64 x)))))
(.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 eps (fma.f64 (.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))))) (.f64 (sin.f64 x) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (cos.f64 x))))))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) eps)
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(-.f64 (.f64 eps (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (.f64 eps (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))

Outputs
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(-.f64 (exp.f64 (log1p.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))) #s(literal 1 binary64))
(pow.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))))
(cbrt.f64 (pow.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))))
(log1p.f64 (expm1.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))))
(exp.f64 (+.f64 (log1p.f64 (fma.f64 eps (.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (log.f64 eps)))
(exp.f64 (.f64 (+.f64 (log1p.f64 (fma.f64 eps (.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (log.f64 eps)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) eps (.f64 (fma.f64 eps (.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) eps))
(fma.f64 eps #s(literal 1 binary64) (.f64 eps (fma.f64 eps (.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) (.f64 (fma.f64 eps (.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) eps))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (.f64 (fma.f64 eps (.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) eps))

simplify781.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

523×	`fma-neg`
411×	`associate-r`
386×	`fma-define`
375×	`associate-l`
308×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	738	60520
1	1963	56415
2	7373	55539

Stop Event

1×	node limit

Counts

380 → 394

Calls

Call 1

Inputs
(/.f64 (.f64 eps (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))
(.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))))
(.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))))
(.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 eps (cos.f64 x)))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 eps (cos.f64 x)))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 eps (cos.f64 x)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 eps (cos.f64 x)))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 eps (cos.f64 x)))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 eps (cos.f64 x)))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))
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(fma.f64 #s(literal 1 binary64) eps (.f64 (fma.f64 eps (.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) eps))
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(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) (.f64 (fma.f64 eps (.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) eps))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (.f64 (fma.f64 eps (.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) eps))

Outputs
(/.f64 (.f64 eps (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))
(.f64 eps (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (.f64 eps (sin.f64 x))) (cos.f64 x))
(*.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)))
(.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))))
(.f64 eps (fma.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))))
(.f64 eps (fma.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (.f64 eps (+.f64 #s(literal -1/6 binary64) (neg.f64 (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))))
(.f64 eps (fma.f64 eps (+.f64 #s(literal -1/6 binary64) (neg.f64 (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))
(.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))))
(.f64 eps (fma.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))))
(.f64 eps (fma.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (.f64 eps (+.f64 #s(literal -1/6 binary64) (neg.f64 (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))))
(.f64 eps (fma.f64 eps (+.f64 #s(literal -1/6 binary64) (neg.f64 (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))
(.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))))
(.f64 eps (fma.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))))
(.f64 eps (fma.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (.f64 eps (+.f64 #s(literal -1/6 binary64) (neg.f64 (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))))
(.f64 eps (fma.f64 eps (+.f64 #s(literal -1/6 binary64) (neg.f64 (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))
(neg.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 eps #s(literal 2 binary64))))
(.f64 (+.f64 #s(literal 1/6 binary64) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (neg.f64 (pow.f64 eps #s(literal 2 binary64))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 eps (cos.f64 x)))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 eps (cos.f64 x))))))
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(fma.f64 eps (fma.f64 eps (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (fma.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
(fma.f64 eps (fma.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)) (/.f64 (fma.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
(fma.f64 #s(literal 1 binary64) eps (.f64 (fma.f64 eps (.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) eps))
(.f64 eps (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (.f64 eps (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) (.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(fma.f64 eps (fma.f64 eps (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (fma.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
(fma.f64 eps (fma.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)) (/.f64 (fma.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
(fma.f64 eps #s(literal 1 binary64) (.f64 eps (fma.f64 eps (.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))
(.f64 eps (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (.f64 eps (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) (.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(fma.f64 eps (fma.f64 eps (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (fma.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
(fma.f64 eps (fma.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)) (/.f64 (fma.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) (.f64 (fma.f64 eps (.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) eps))
(.f64 eps (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (.f64 eps (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) (.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(fma.f64 eps (fma.f64 eps (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (fma.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
(fma.f64 eps (fma.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)) (/.f64 (fma.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (.f64 (fma.f64 eps (.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) eps))
(.f64 eps (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (.f64 eps (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) (.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(fma.f64 eps (fma.f64 eps (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (fma.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
(fma.f64 eps (fma.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)) (/.f64 (fma.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)

eval1.0s (3%)

Compiler: Compiled 47033 to 29789 computations (36.7% saved)

prune456.0ms (1.3%)

Pruning

20 alts after pruning (14 fresh and 6 done)

	Pruned	Kept	Total
New	778	3	781
Fresh	0	11	11
Picked	2	3	5
Done	0	3	3
Total	780	20	800

Accuracy

100.0%

Counts

800 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.3%	(/.f64 (sin.f64 eps) (cos.f64 eps))
✓	30.8%	(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64)) (tan.f64 x))
	61.5%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
✓	61.4%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	99.6%	(+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 17/45 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2/3 binary64) eps))))))
▶	99.5%	(+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (.f64 (*.f64 eps #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2 binary64))))))
✓	99.4%	(+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) eps))
▶	100.0%	(.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
	99.9%	(.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps #s(literal -1/3 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
	99.7%	(.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
	99.9%	(.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (.f64 eps (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
	99.6%	(.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4/3 binary64))))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
▶	99.7%	(.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (.f64 eps x) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
▶	99.4%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x eps))))
	99.5%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 2/3 binary64)) (.f64 eps #s(literal 4/3 binary64))))))))))
	35.0%	(.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) eps)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))))
	99.3%	(tan.f64 eps)
▶	60.6%	(exp.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
✓	60.6%	(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
✓	99.3%	eps

Compiler

Compiled 1013 to 728 computations (28.1% saved)

localize6.6s (19.3%)

Localize:

Found 17 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))
✓	100.0%	(+.f64 (tan.f64 x) (tan.f64 eps))
✓	90.7%	(exp.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
✓	61.5%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
✓	100.0%	(pow.f64 (cos.f64 x) #s(literal 2 binary64))
✓	100.0%	(.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (.f64 eps x) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
	100.0%	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
✓	99.8%	(-.f64 (*.f64 eps x) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
✓	99.8%	(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (.f64 (*.f64 eps #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2 binary64)))))
✓	99.8%	(.f64 (.f64 eps #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2 binary64)))
✓	99.4%	(*.f64 eps #s(literal 2/3 binary64))
✓	100.0%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x eps))))
✓	99.8%	(*.f64 x (+.f64 x eps))
	99.6%	(*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
	99.4%	(.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))
	98.4%	(+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
	49.9%	(-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))

Compiler

Compiled 1212 to 778 computations (35.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.9s

Operation ival-pow, time spent: 1.7s, 34.0% of total-time

Operation ival-mult, time spent: 1.1s, 22.0% of total-time

Operation ival-div, time spent: 742.0ms, 15.0% of total-time

Operation ival-tan, time spent: 357.0ms, 7.0% of total-time

Operation ival-sub, time spent: 344.0ms, 7.0% of total-time

Operation ival-cos, time spent: 319.0ms, 6.0% of total-time

Operation ival-add, time spent: 166.0ms, 3.0% of total-time

Operation const, time spent: 108.0ms, 2.0% of total-time

Operation ival-sin, time spent: 71.0ms, 1.0% of total-time

Operation ival-log, time spent: 54.0ms, 1.0% of total-time

Operation ival-exp, time spent: 24.0ms, 0.0% of total-time

Operation ival-neg, time spent: 19.0ms, 0.0% of total-time

series72.0ms (0.2%)

Counts

12 → 256

Calls

Call 1

Inputs
#<alt (*.f64 x (+.f64 x eps))>
#<alt (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x eps))))>
#<alt (*.f64 eps #s(literal 2/3 binary64))>
#<alt (.f64 (.f64 eps #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (.f64 (*.f64 eps #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (-.f64 (*.f64 eps x) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))>
#<alt (.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (.f64 eps x) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))>
#<alt (pow.f64 (cos.f64 x) #s(literal 2 binary64))>
#<alt (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))>
#<alt (exp.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))>
#<alt (+.f64 (tan.f64 x) (tan.f64 eps))>
#<alt (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))>

Outputs
#<alt (*.f64 eps x)>
#<alt (*.f64 x (+.f64 eps x))>
#<alt (*.f64 x (+.f64 eps x))>
#<alt (*.f64 x (+.f64 eps x))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 eps x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 eps x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 eps x)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 eps x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 eps x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 eps x)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 eps x) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 eps x) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 eps x) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))>
#<alt (*.f64 eps (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))>
#<alt (*.f64 eps (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))>
#<alt (*.f64 eps x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (.f64 eps x) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (.f64 eps x) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (.f64 eps x) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))>
#<alt eps>
#<alt (+.f64 eps (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (+.f64 eps (.f64 x (+.f64 (.f64 eps x) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (+.f64 eps (.f64 x (+.f64 (.f64 eps x) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (*.f64 eps (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (+.f64 (/.f64 eps (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (+.f64 (/.f64 eps (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))>
#<alt (*.f64 eps (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 eps x)) (.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 2 binary64)))) x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 eps x)) (.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 2 binary64)))) x))))>
#<alt (*.f64 #s(literal 2/3 binary64) eps)>
#<alt (*.f64 #s(literal 2/3 binary64) eps)>
#<alt (*.f64 #s(literal 2/3 binary64) eps)>
#<alt (*.f64 #s(literal 2/3 binary64) eps)>
#<alt (*.f64 #s(literal 2/3 binary64) eps)>
#<alt (*.f64 #s(literal 2/3 binary64) eps)>
#<alt (*.f64 #s(literal 2/3 binary64) eps)>
#<alt (*.f64 #s(literal 2/3 binary64) eps)>
#<alt (*.f64 #s(literal 2/3 binary64) eps)>
#<alt (*.f64 #s(literal 2/3 binary64) eps)>
#<alt (*.f64 #s(literal 2/3 binary64) eps)>
#<alt (*.f64 #s(literal 2/3 binary64) eps)>
#<alt (.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 eps (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (.f64 #s(literal 2/3 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (.f64 #s(literal 2/3 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (.f64 #s(literal 2/3 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (.f64 #s(literal 2/3 binary64) eps) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (.f64 #s(literal 2/3 binary64) eps) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (.f64 #s(literal 2/3 binary64) eps) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (.f64 #s(literal 2/3 binary64) eps) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (.f64 #s(literal 2/3 binary64) eps) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (.f64 #s(literal 2/3 binary64) eps) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))))>
#<alt (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 eps x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 eps x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 eps x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))>
#<alt (*.f64 eps x)>
#<alt (.f64 eps (+.f64 x (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))>
#<alt (.f64 eps (+.f64 x (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))>
#<alt (.f64 eps (+.f64 x (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))>
#<alt (*.f64 eps x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))>
#<alt (*.f64 eps x)>
#<alt (*.f64 x (+.f64 eps x))>
#<alt (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (.f64 #s(literal 17/45 binary64) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (*.f64 eps x)>
#<alt (.f64 x (+.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 x (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))>
#<alt (.f64 x (+.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 x (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))>
#<alt (.f64 x (+.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 x (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))>
#<alt (*.f64 eps x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))>
#<alt (.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (.f64 eps x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))>
#<alt (.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (.f64 eps x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))>
#<alt (.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (.f64 eps x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))>
#<alt eps>
#<alt (+.f64 eps (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (+.f64 eps (.f64 x (+.f64 (.f64 eps x) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (+.f64 eps (.f64 x (+.f64 (.f64 x (+.f64 eps (.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)>
#<alt (.f64 x (+.f64 (/.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) x) (pow.f64 eps #s(literal 2 binary64))))>
#<alt (.f64 x (+.f64 (/.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) x) (pow.f64 eps #s(literal 2 binary64))))>
#<alt (.f64 x (+.f64 (/.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) x) (pow.f64 eps #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)>
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Calls

66 calls:

Time	Variable		Point	Expression
19.0ms	x	@	inf	(- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x))
5.0ms	eps	@	0	(- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x))
3.0ms	eps	@	-inf	(- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x))
2.0ms	x	@	-inf	(* eps (+ 1 (- (* eps x) (neg (/ (pow (sin x) 2) (pow (cos x) 2))))))
2.0ms	eps	@	inf	(- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x))

rewrite129.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

339×	`log1p-expm1-u`
339×	`expm1-log1p-u`
331×	`add-cube-cbrt`
328×	`add-exp-log`
326×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	488
1	718	426

Stop Event

1×	node limit

Counts

12 → 287

Calls

Call 1

Inputs
(*.f64 x (+.f64 x eps))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x eps))))
(*.f64 eps #s(literal 2/3 binary64))
(.f64 (.f64 eps #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (.f64 (*.f64 eps #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (*.f64 eps x) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (.f64 eps x) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(exp.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(+.f64 (tan.f64 x) (tan.f64 eps))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))

Outputs
(+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x eps))
(-.f64 (fma.f64 x (+.f64 x eps) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x (+.f64 x eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x eps))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x eps)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 x eps)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x eps))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x eps))))
(exp.f64 (log.f64 (*.f64 x (+.f64 x eps))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x eps))) #s(literal 1 binary64)))
(fma.f64 x x (*.f64 x eps))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 x eps))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 x eps))
(+.f64 eps (.f64 (.f64 x (+.f64 x eps)) eps))
(+.f64 (.f64 eps #s(literal 1 binary64)) (.f64 eps (*.f64 x (+.f64 x eps))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 x (+.f64 x eps) #s(literal 1 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps (fma.f64 x (+.f64 x eps) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 x (+.f64 x eps) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 x (+.f64 x eps) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 x (+.f64 x eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 x (+.f64 x eps) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x (+.f64 x eps) #s(literal 1 binary64))) eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (fma.f64 x (+.f64 x eps) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 x (+.f64 x eps) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 x (+.f64 x eps) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (+.f64 x eps) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 x (+.f64 x eps) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 x (+.f64 x eps) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 x (+.f64 x eps) #s(literal 1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 eps (fma.f64 x (+.f64 x eps) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 eps #s(literal 1 binary64) (.f64 eps (.f64 x (+.f64 x eps))))
(fma.f64 #s(literal 1 binary64) eps (.f64 (.f64 x (+.f64 x eps)) eps))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) (.f64 (.f64 x (+.f64 x eps)) eps))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (.f64 (.f64 x (+.f64 x eps)) eps))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps #s(literal 2/3 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps #s(literal 2/3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps #s(literal 2/3 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps #s(literal 2/3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps #s(literal 2/3 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps #s(literal 2/3 binary64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps #s(literal 2/3 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 eps #s(literal 2/3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps #s(literal 2/3 binary64))))
(log1p.f64 (expm1.f64 (*.f64 eps #s(literal 2/3 binary64))))
(exp.f64 (log.f64 (*.f64 eps #s(literal 2/3 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 eps #s(literal 2/3 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 eps #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (.f64 (.f64 eps #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (.f64 eps #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (.f64 eps #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (.f64 x (sqrt.f64 (.f64 eps #s(literal 2/3 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (.f64 eps #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) eps) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (.f64 eps #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (.f64 (.f64 eps #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 (.f64 eps #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (.f64 (.f64 eps #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (.f64 (.f64 eps #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 eps #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (.f64 eps #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (.f64 eps (pow.f64 x #s(literal 2 binary64))) (.f64 (.f64 (.f64 eps #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (.f64 eps #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2 binary64)) eps)))) #s(literal 1 binary64))
(pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (.f64 eps #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2 binary64)) eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (.f64 eps #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2 binary64)) eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (.f64 eps #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2 binary64)) eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (.f64 x (sqrt.f64 (fma.f64 (.f64 eps #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2 binary64)) eps))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (.f64 eps #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2 binary64)) eps)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (fma.f64 (*.f64 eps #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2 binary64)) eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (.f64 eps #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2 binary64)) eps)))))
(cbrt.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (.f64 eps #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2 binary64)) eps)) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (.f64 eps #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 (.f64 eps #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (.f64 eps #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2 binary64)) eps))))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (.f64 eps #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2 binary64)) eps))))
(exp.f64 (log.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (.f64 eps #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2 binary64)) eps))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (*.f64 eps #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2 binary64)) eps))) #s(literal 1 binary64)))
(fma.f64 eps (pow.f64 x #s(literal 2 binary64)) (.f64 (.f64 (*.f64 eps #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (*.f64 eps #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (*.f64 x eps) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(+.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(+.f64 (fma.f64 x eps (neg.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(+.f64 (fma.f64 x eps (neg.f64 (.f64 (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(+.f64 (fma.f64 x eps (neg.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(+.f64 (fma.f64 eps x (neg.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(+.f64 (fma.f64 eps x (neg.f64 (.f64 (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(+.f64 (fma.f64 eps x (neg.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (.f64 x eps) (neg.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (.f64 x eps) (neg.f64 (.f64 (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (.f64 x eps) (neg.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 x eps)) #s(literal 2 binary64)) (cbrt.f64 (.f64 x eps)) (neg.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 x eps)) #s(literal 2 binary64)) (cbrt.f64 (.f64 x eps)) (neg.f64 (.f64 (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 x eps)) #s(literal 2 binary64)) (cbrt.f64 (.f64 x eps)) (neg.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (.f64 x eps)) (sqrt.f64 (.f64 x eps)) (neg.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (.f64 x eps)) (sqrt.f64 (.f64 x eps)) (neg.f64 (.f64 (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 (.f64 x eps)) (sqrt.f64 (.f64 x eps)) (neg.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 x eps) #s(literal 3 binary64)) (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x eps) #s(literal 2 binary64)) (+.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 x eps) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 x eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x eps) #s(literal 3 binary64)) (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 x eps) #s(literal 2 binary64)) (+.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 x eps) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(pow.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
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(pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))))
(exp.f64 (log.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))))) #s(literal 1 binary64)))

simplify369.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

671×	`fma-neg`
466×	`associate-r`
444×	`fma-define`
419×	`associate-l`
282×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	868	36281
1	2190	34198
2	7692	34178

Stop Event

1×	node limit

Counts

543 → 480

Calls

Call 1

Inputs
(*.f64 eps x)
(*.f64 x (+.f64 eps x))
(*.f64 x (+.f64 eps x))
(*.f64 x (+.f64 eps x))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 eps x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 eps x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 eps x)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 eps x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 eps x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 eps x)))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 eps x) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 eps x) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 eps x) (pow.f64 x #s(literal 2 binary64)))
(*.f64 eps x)
(*.f64 eps (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))
(*.f64 eps (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))
(*.f64 eps (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))
(*.f64 eps x)
(.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))
(.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))
(.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
(.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (.f64 eps x) (pow.f64 x #s(literal 2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (.f64 eps x) (pow.f64 x #s(literal 2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (.f64 eps x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))
eps
(+.f64 eps (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(+.f64 eps (.f64 x (+.f64 (.f64 eps x) (pow.f64 eps #s(literal 2 binary64)))))
(+.f64 eps (.f64 x (+.f64 (.f64 eps x) (pow.f64 eps #s(literal 2 binary64)))))
(*.f64 eps (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (+.f64 (/.f64 eps (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (+.f64 (/.f64 eps (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
(*.f64 eps (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 eps x)) (.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 2 binary64)))) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 eps x)) (.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 2 binary64)))) x))))
(*.f64 #s(literal 2/3 binary64) eps)
(*.f64 #s(literal 2/3 binary64) eps)
(*.f64 #s(literal 2/3 binary64) eps)
(*.f64 #s(literal 2/3 binary64) eps)
(*.f64 #s(literal 2/3 binary64) eps)
(*.f64 #s(literal 2/3 binary64) eps)
(*.f64 #s(literal 2/3 binary64) eps)
(*.f64 #s(literal 2/3 binary64) eps)
(*.f64 #s(literal 2/3 binary64) eps)
(*.f64 #s(literal 2/3 binary64) eps)
(*.f64 #s(literal 2/3 binary64) eps)
(*.f64 #s(literal 2/3 binary64) eps)
(.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(*.f64 eps (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (.f64 #s(literal 2/3 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (.f64 #s(literal 2/3 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (.f64 #s(literal 2/3 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))
(.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 4 binary64))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (.f64 #s(literal 2/3 binary64) eps) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (.f64 #s(literal 2/3 binary64) eps) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (.f64 #s(literal 2/3 binary64) eps) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))
(.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 4 binary64))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (.f64 #s(literal 2/3 binary64) eps) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (.f64 #s(literal 2/3 binary64) eps) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (.f64 #s(literal 2/3 binary64) eps) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))
(.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(+.f64 (*.f64 eps x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+.f64 (*.f64 eps x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+.f64 (*.f64 eps x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(*.f64 eps x)
(.f64 eps (+.f64 x (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(.f64 eps (+.f64 x (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(.f64 eps (+.f64 x (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps x)
(.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))
(*.f64 eps x)
(*.f64 x (+.f64 eps x))
(.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (.f64 #s(literal 17/45 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(*.f64 eps x)
(.f64 x (+.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 x (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(.f64 x (+.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 x (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(.f64 x (+.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 x (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps x)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (.f64 eps x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (.f64 eps x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (.f64 eps x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
eps
(+.f64 eps (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(+.f64 eps (.f64 x (+.f64 (.f64 eps x) (pow.f64 eps #s(literal 2 binary64)))))
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(*.f64 (pow.f64 eps #s(literal 2 binary64)) x)
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(log1p.f64 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))))
(exp.f64 (log.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))))) #s(literal 1 binary64)))

Outputs
(*.f64 eps x)
(*.f64 x (+.f64 eps x))
(*.f64 x (+.f64 eps x))
(*.f64 x (+.f64 eps x))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 eps x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 eps x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 eps x)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 eps x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 eps x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 eps x)))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 eps x) (pow.f64 x #s(literal 2 binary64)))
(*.f64 x (+.f64 eps x))
(+.f64 (*.f64 eps x) (pow.f64 x #s(literal 2 binary64)))
(*.f64 x (+.f64 eps x))
(+.f64 (*.f64 eps x) (pow.f64 x #s(literal 2 binary64)))
(*.f64 x (+.f64 eps x))
(*.f64 eps x)
(*.f64 eps (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))
(*.f64 eps (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))
(*.f64 eps (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))
(*.f64 eps x)
(.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))
(*.f64 (neg.f64 eps) (fma.f64 #s(literal -1 binary64) x (/.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) eps)))
(*.f64 (-.f64 (neg.f64 x) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (neg.f64 eps))
(.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))
(*.f64 (neg.f64 eps) (fma.f64 #s(literal -1 binary64) x (/.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) eps)))
(*.f64 (-.f64 (neg.f64 x) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (neg.f64 eps))
(.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))
(*.f64 (neg.f64 eps) (fma.f64 #s(literal -1 binary64) x (/.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) eps)))
(*.f64 (-.f64 (neg.f64 x) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (neg.f64 eps))
(*.f64 eps (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 eps (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 eps (fma.f64 x x #s(literal 1 binary64)))
(.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (.f64 eps x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 eps (fma.f64 x (+.f64 eps x) #s(literal 1 binary64)))
(.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (.f64 eps x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 eps (fma.f64 x (+.f64 eps x) #s(literal 1 binary64)))
(.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (.f64 eps x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 eps (fma.f64 x (+.f64 eps x) #s(literal 1 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(*.f64 x (pow.f64 eps #s(literal 2 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 x (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) (/.f64 #s(literal 1 binary64) eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) (+.f64 x (/.f64 #s(literal 1 binary64) eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 x (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) (/.f64 #s(literal 1 binary64) eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) (+.f64 x (/.f64 #s(literal 1 binary64) eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 x (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) (/.f64 #s(literal 1 binary64) eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) (+.f64 x (/.f64 #s(literal 1 binary64) eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(*.f64 x (pow.f64 eps #s(literal 2 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 x (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) (/.f64 #s(literal 1 binary64) eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) (+.f64 x (/.f64 #s(literal 1 binary64) eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 x (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) (/.f64 #s(literal 1 binary64) eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) (+.f64 x (/.f64 #s(literal 1 binary64) eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 x (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) (/.f64 #s(literal 1 binary64) eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) (+.f64 x (/.f64 #s(literal 1 binary64) eps))))
eps
(+.f64 eps (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(+.f64 eps (*.f64 x (pow.f64 eps #s(literal 2 binary64))))
(fma.f64 x (pow.f64 eps #s(literal 2 binary64)) eps)
(+.f64 eps (.f64 x (+.f64 (.f64 eps x) (pow.f64 eps #s(literal 2 binary64)))))
(*.f64 eps (fma.f64 x (+.f64 eps x) #s(literal 1 binary64)))
(+.f64 eps (.f64 x (+.f64 (.f64 eps x) (pow.f64 eps #s(literal 2 binary64)))))
(*.f64 eps (fma.f64 x (+.f64 eps x) #s(literal 1 binary64)))
(*.f64 eps (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (+.f64 (/.f64 eps (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (+.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (+.f64 (/.f64 eps (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (+.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))
(*.f64 eps (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 eps x)) (.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 2 binary64)))) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (neg.f64 (/.f64 (.f64 #s(literal -1 binary64) (+.f64 (/.f64 eps x) (pow.f64 eps #s(literal 2 binary64)))) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 eps (/.f64 (-.f64 (/.f64 eps (neg.f64 x)) (pow.f64 eps #s(literal 2 binary64))) x)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 eps x)) (.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 2 binary64)))) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (neg.f64 (/.f64 (.f64 #s(literal -1 binary64) (+.f64 (/.f64 eps x) (pow.f64 eps #s(literal 2 binary64)))) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 eps (/.f64 (-.f64 (/.f64 eps (neg.f64 x)) (pow.f64 eps #s(literal 2 binary64))) x)))
(*.f64 #s(literal 2/3 binary64) eps)
(*.f64 eps #s(literal 2/3 binary64))
(*.f64 #s(literal 2/3 binary64) eps)
(*.f64 eps #s(literal 2/3 binary64))
(*.f64 #s(literal 2/3 binary64) eps)
(*.f64 eps #s(literal 2/3 binary64))
(*.f64 #s(literal 2/3 binary64) eps)
(*.f64 eps #s(literal 2/3 binary64))
(*.f64 #s(literal 2/3 binary64) eps)
(*.f64 eps #s(literal 2/3 binary64))
(*.f64 #s(literal 2/3 binary64) eps)
(*.f64 eps #s(literal 2/3 binary64))
(*.f64 #s(literal 2/3 binary64) eps)
(*.f64 eps #s(literal 2/3 binary64))
(*.f64 #s(literal 2/3 binary64) eps)
(*.f64 eps #s(literal 2/3 binary64))
(*.f64 #s(literal 2/3 binary64) eps)
(*.f64 eps #s(literal 2/3 binary64))
(*.f64 #s(literal 2/3 binary64) eps)
(*.f64 eps #s(literal 2/3 binary64))
(*.f64 #s(literal 2/3 binary64) eps)
(*.f64 eps #s(literal 2/3 binary64))
(*.f64 #s(literal 2/3 binary64) eps)
(*.f64 eps #s(literal 2/3 binary64))
(.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 eps #s(literal 2/3 binary64)))
(.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/3 binary64)))
(.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 eps #s(literal 2/3 binary64)))
(.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/3 binary64)))
(.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 eps #s(literal 2/3 binary64)))
(.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/3 binary64)))
(.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 eps #s(literal 2/3 binary64)))
(.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/3 binary64)))
(.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 eps #s(literal 2/3 binary64)))
(.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/3 binary64)))
(.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 eps #s(literal 2/3 binary64)))
(.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/3 binary64)))
(.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 eps #s(literal 2/3 binary64)))
(.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/3 binary64)))
(.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 eps #s(literal 2/3 binary64)))
(.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/3 binary64)))
(.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 eps #s(literal 2/3 binary64)))
(.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/3 binary64)))
(.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 eps #s(literal 2/3 binary64)))
(.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/3 binary64)))
(.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 eps #s(literal 2/3 binary64)))
(.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/3 binary64)))
(.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 eps #s(literal 2/3 binary64)))
(.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/3 binary64)))
(.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 eps #s(literal 2/3 binary64)))
(.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/3 binary64)))
(.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 eps #s(literal 2/3 binary64)))
(.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/3 binary64)))
(.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 eps #s(literal 2/3 binary64)))
(.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/3 binary64)))
(.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 eps #s(literal 2/3 binary64)))
(.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/3 binary64)))
(.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 eps #s(literal 2/3 binary64)))
(.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/3 binary64)))
(.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 eps #s(literal 2/3 binary64)))
(.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/3 binary64)))
(.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 eps #s(literal 2/3 binary64)))
(.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/3 binary64)))
(.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 eps #s(literal 2/3 binary64)))
(.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/3 binary64)))
(.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 eps #s(literal 2/3 binary64)))
(.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/3 binary64)))
(.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 eps #s(literal 2/3 binary64)))
(.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/3 binary64)))
(.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 eps #s(literal 2/3 binary64)))
(.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/3 binary64)))
(.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 eps #s(literal 2/3 binary64)))
(.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/3 binary64)))
(*.f64 eps (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (.f64 #s(literal 2/3 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (.f64 eps #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2 binary64)) eps))
(.f64 eps (+.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (.f64 #s(literal 2/3 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (.f64 eps #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2 binary64)) eps))
(.f64 eps (+.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (.f64 #s(literal 2/3 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (.f64 eps #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2 binary64)) eps))
(.f64 eps (+.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64)))))
(.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 4 binary64))))
(.f64 eps (.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (.f64 #s(literal 2/3 binary64) eps) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 2/3 binary64) eps (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps #s(literal 2/3 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (.f64 #s(literal 2/3 binary64) eps) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 2/3 binary64) eps (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps #s(literal 2/3 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))
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(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))
(.f64 (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))
(pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) #s(literal 1 binary64))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))) #s(literal 3 binary64))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))
(pow.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))) #s(literal 2 binary64))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) #s(literal -1 binary64))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) #s(literal 2 binary64)))
(fabs.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))
(log.f64 (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) #s(literal 3 binary64)))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))
(exp.f64 (log.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))))) #s(literal 1 binary64)))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))

eval1.0s (3.1%)

Compiler: Compiled 60637 to 41141 computations (32.2% saved)

prune316.0ms (0.9%)

Pruning

21 alts after pruning (15 fresh and 6 done)

	Pruned	Kept	Total
New	950	9	959
Fresh	3	6	9
Picked	4	1	5
Done	1	5	6
Total	958	21	979

Accuracy

100.0%

Counts

979 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.3%	(/.f64 (sin.f64 eps) (cos.f64 eps))
✓	30.8%	(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64)) (tan.f64 x))
	61.5%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
✓	61.4%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	99.4%	(+.f64 eps (.f64 (.f64 x (+.f64 x eps)) eps))
	100.0%	(.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))))
	99.9%	(.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
	99.9%	(.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps #s(literal -1/3 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
	99.9%	(.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (.f64 eps (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
	99.6%	(.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4/3 binary64))))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
	99.7%	(.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x eps) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
	99.5%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/3 binary64))))))))
	99.5%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 2/3 binary64)) (.f64 eps #s(literal 4/3 binary64))))))))))
	35.0%	(.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) eps)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))))
	99.3%	(tan.f64 eps)
	60.7%	(exp.f64 (log.f64 (/.f64 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))))))
✓	60.6%	(exp.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
✓	60.6%	(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
	90.7%	(exp.f64 (log.f64 (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 eps (-.f64 #s(literal 1/3 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))
	37.9%	(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 x eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #s(literal 3 binary64)))
✓	99.3%	eps

Compiler

Compiled 1953 to 1312 computations (32.8% saved)

regimes71.0ms (0.2%)

Counts

36 → 1

Calls

Call 1

Inputs
eps
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x eps))))
(+.f64 eps (.f64 (.f64 x (+.f64 x eps)) eps))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 2/3 binary64)) (.f64 eps #s(literal 4/3 binary64))))))))))
(tan.f64 eps)
(+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) eps))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/3 binary64))))))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x eps) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (.f64 (*.f64 eps #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 17/45 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2/3 binary64) eps))))))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64)) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 3 binary64))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (.f64 eps x) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 x eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #s(literal 3 binary64)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4/3 binary64))))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(exp.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (.f64 eps (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (.f64 eps (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps #s(literal -1/3 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (.f64 eps (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps #s(literal -1/3 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (/.f64 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))))))
(+.f64 (.f64 x (-.f64 (/.f64 (.f64 x (.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))) (cos.f64 eps)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 eps (-.f64 #s(literal 1/3 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))
(.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))))
(.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) eps)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))))
(.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 eps (fma.f64 (.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))))) (.f64 (sin.f64 x) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (cos.f64 x))))))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))

Outputs

(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (*.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))))) (*.f64 (sin.f64 x) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (cos.f64 x))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))

Calls

3 calls:

24.0ms	eps
18.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
18.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`eps`
100.0%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes60.0ms (0.2%)

Counts

35 → 1

Calls

Call 1

Inputs
eps
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x eps))))
(+.f64 eps (.f64 (.f64 x (+.f64 x eps)) eps))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 2/3 binary64)) (.f64 eps #s(literal 4/3 binary64))))))))))
(tan.f64 eps)
(+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) eps))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/3 binary64))))))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x eps) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (.f64 (*.f64 eps #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 17/45 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2/3 binary64) eps))))))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64)) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 3 binary64))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (.f64 eps x) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 x eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #s(literal 3 binary64)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4/3 binary64))))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(exp.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (.f64 eps (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (.f64 eps (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps #s(literal -1/3 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (.f64 eps (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps #s(literal -1/3 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (/.f64 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))))))
(+.f64 (.f64 x (-.f64 (/.f64 (.f64 x (.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))) (cos.f64 eps)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 eps (-.f64 #s(literal 1/3 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))
(.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))))
(.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) eps)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))))

Outputs

(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))))

Calls

3 calls:

18.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
18.0ms	x
18.0ms	eps

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`eps`
100.0%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes52.0ms (0.2%)

Counts

31 → 1

Calls

Call 1

Inputs
eps
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x eps))))
(+.f64 eps (.f64 (.f64 x (+.f64 x eps)) eps))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 2/3 binary64)) (.f64 eps #s(literal 4/3 binary64))))))))))
(tan.f64 eps)
(+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) eps))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/3 binary64))))))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x eps) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (.f64 (*.f64 eps #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 17/45 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2/3 binary64) eps))))))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64)) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 3 binary64))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (.f64 eps x) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 x eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #s(literal 3 binary64)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4/3 binary64))))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(exp.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (.f64 eps (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (.f64 eps (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps #s(literal -1/3 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (.f64 eps (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps #s(literal -1/3 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (/.f64 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))))))
(+.f64 (.f64 x (-.f64 (/.f64 (.f64 x (.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))) (cos.f64 eps)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 eps (-.f64 #s(literal 1/3 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))

Outputs

(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))

Calls

3 calls:

16.0ms	eps
16.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
15.0ms	x

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`eps`
99.9%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes49.0ms (0.1%)

Counts

29 → 1

Calls

Call 1

Inputs
eps
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x eps))))
(+.f64 eps (.f64 (.f64 x (+.f64 x eps)) eps))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 2/3 binary64)) (.f64 eps #s(literal 4/3 binary64))))))))))
(tan.f64 eps)
(+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) eps))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/3 binary64))))))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x eps) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (.f64 (*.f64 eps #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 17/45 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2/3 binary64) eps))))))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64)) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 3 binary64))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (.f64 eps x) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 x eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #s(literal 3 binary64)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4/3 binary64))))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(exp.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (.f64 eps (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (.f64 eps (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps #s(literal -1/3 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (.f64 eps (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps #s(literal -1/3 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (/.f64 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))))))
(+.f64 (.f64 x (-.f64 (/.f64 (.f64 x (.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))) (cos.f64 eps)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))

Outputs

(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps #s(literal -1/3 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))

Calls

3 calls:

17.0ms	eps
15.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
14.0ms	x

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`eps`
99.9%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes40.0ms (0.1%)

Counts

24 → 1

Calls

Call 1

Inputs
eps
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x eps))))
(+.f64 eps (.f64 (.f64 x (+.f64 x eps)) eps))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 2/3 binary64)) (.f64 eps #s(literal 4/3 binary64))))))))))
(tan.f64 eps)
(+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) eps))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/3 binary64))))))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x eps) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (.f64 (*.f64 eps #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 17/45 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2/3 binary64) eps))))))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64)) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 3 binary64))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (.f64 eps x) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 x eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #s(literal 3 binary64)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4/3 binary64))))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(exp.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (.f64 eps (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (.f64 eps (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))

Outputs

(*.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 eps (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))

Calls

3 calls:

13.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
13.0ms	x
12.0ms	eps

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`eps`
99.9%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes36.0ms (0.1%)

Counts

22 → 1

Calls

Call 1

Inputs
eps
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x eps))))
(+.f64 eps (.f64 (.f64 x (+.f64 x eps)) eps))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 2/3 binary64)) (.f64 eps #s(literal 4/3 binary64))))))))))
(tan.f64 eps)
(+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) eps))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/3 binary64))))))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x eps) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (.f64 (*.f64 eps #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 17/45 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2/3 binary64) eps))))))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64)) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 3 binary64))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (.f64 eps x) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 x eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #s(literal 3 binary64)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4/3 binary64))))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(exp.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))

Outputs

(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))

Calls

3 calls:

12.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
11.0ms	x
11.0ms	eps

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`eps`
99.7%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes20.0ms (0.1%)

Counts

11 → 1

Calls

Call 1

Inputs
eps
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x eps))))
(+.f64 eps (.f64 (.f64 x (+.f64 x eps)) eps))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 2/3 binary64)) (.f64 eps #s(literal 4/3 binary64))))))))))
(tan.f64 eps)
(+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) eps))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/3 binary64))))))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x eps) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (.f64 (*.f64 eps #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2 binary64))))))

Outputs
(.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x eps) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))

Calls

3 calls:

7.0ms	eps
7.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
6.0ms	x

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`eps`
99.7%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes17.0ms (0%)

Counts

9 → 1

Calls

Call 1

Inputs
eps
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x eps))))
(+.f64 eps (.f64 (.f64 x (+.f64 x eps)) eps))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 2/3 binary64)) (.f64 eps #s(literal 4/3 binary64))))))))))
(tan.f64 eps)
(+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) eps))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/3 binary64))))))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Outputs
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/3 binary64))))))))

Calls

3 calls:

6.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
5.0ms	eps
5.0ms	x

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`eps`
99.5%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes8.0ms (0%)

Counts

6 → 1

Calls

Call 1

Inputs
eps
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x eps))))
(+.f64 eps (.f64 (.f64 x (+.f64 x eps)) eps))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 2/3 binary64)) (.f64 eps #s(literal 4/3 binary64))))))))))
(tan.f64 eps)
(+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) eps))

Outputs
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 2/3 binary64)) (.f64 eps #s(literal 4/3 binary64))))))))))

Calls

2 calls:

4.0ms	eps
4.0ms	x

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Counts

3 → 1

Calls

Call 1

Inputs
eps
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x eps))))
(+.f64 eps (.f64 (.f64 x (+.f64 x eps)) eps))

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

Calls

2 calls:

2.0ms	x
2.0ms	eps

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes17.0ms (0%)

Counts

2 → 1

Calls

Call 1

Inputs
eps
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x eps))))

Outputs
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x eps))))

Calls

2 calls:

14.0ms	eps
2.0ms	x

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
eps

Outputs
eps

Calls

2 calls:

1.0ms	eps
1.0ms	x

Results

Accuracy	Segments	Branch
99.3%	1	`x`
99.3%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify296.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

530×	`distribute-lft-neg-in`
444×	`unsub-neg`
302×	`neg-mul-1`
244×	`neg-sub0`
224×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	133	1694
1	262	1622
2	376	1610
3	537	1610
4	728	1610
5	992	1610
6	1246	1610
7	1485	1610
8	1632	1610
9	1740	1610
10	1898	1610
11	2140	1610
12	2398	1610
13	2648	1610
14	2899	1610
15	3089	1610
16	3208	1610
17	3266	1610
18	3311	1610
19	3327	1610
20	3331	1610
21	3361	1610
22	3382	1610
23	3389	1610
24	3394	1610
25	3400	1610
26	3404	1610
27	3405	1610

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 eps (fma.f64 (.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))))) (.f64 (sin.f64 x) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (cos.f64 x))))))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))))
(.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps #s(literal -1/3 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (.f64 eps (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x eps) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/3 binary64))))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 2/3 binary64)) (.f64 eps #s(literal 4/3 binary64))))))))))
(+.f64 eps (.f64 (.f64 x (+.f64 x eps)) eps))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x eps))))
eps

Outputs
(.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 eps (fma.f64 (.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))))) (.f64 (sin.f64 x) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (cos.f64 x))))))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 eps (fma.f64 (neg.f64 eps) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))))) (.f64 (sin.f64 x) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (cos.f64 x))))))))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 eps (fma.f64 (neg.f64 eps) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))))) (.f64 (sin.f64 x) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (cos.f64 x))))))))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))))
(.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (neg.f64 (.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (neg.f64 (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (+.f64 (.f64 (neg.f64 eps) (+.f64 #s(literal 1/6 binary64) (-.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (.f64 eps (+.f64 #s(literal 1/6 binary64) (-.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (+.f64 (.f64 eps (-.f64 (-.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) #s(literal 1/6 binary64))) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))))
(.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
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(+.f64 eps (.f64 (.f64 x (+.f64 x eps)) eps))
(+.f64 eps (.f64 eps (.f64 x (+.f64 eps x))))
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eps

Compiler

Compiled 455 to 322 computations (29.2% saved)

soundness1.3s (3.8%)

Rules

699×	`associate-r`
671×	`fma-neg`
617×	`associate-l`
609×	`fma-define`
526×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	868	36281
1	2190	34198
2	7692	34178
0	39	488
1	718	426
0	964	43029
1	2451	40256
0	351	10553
1	885	9844
2	2902	9429
0	54	1129
1	1096	1067

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 1864 to 1260 computations (32.4% saved)

end1.0ms (0%)

preprocess227.0ms (0.7%)

Compiler: Compiled 908 to 606 computations (33.3% saved)

Iter	Nodes	Cost
0	27	226
1	49	210
2	101	210
3	201	210
4	378	210
5	481	210
6	638	210
7	720	210
8	762	210
9	768	210

Iter	Nodes	Cost
0	27	226
1	49	210
2	101	210
3	201	210
4	378	210
5	481	210
6	638	210
7	720	210
8	762	210
9	768	210

analyze54.0ms (0.2%)

sample8.0s (23.4%)

preprocess198.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize40.0ms (0.1%)

series15.0ms (0%)

rewrite246.0ms (0.7%)

simplify132.0ms (0.4%)

eval93.0ms (0.3%)

prune39.0ms (0.1%)

localize1.6s (4.8%)

series93.0ms (0.3%)

rewrite186.0ms (0.5%)

simplify310.0ms (0.9%)

eval900.0ms (2.6%)

prune233.0ms (0.7%)

localize8.7s (25.4%)

series75.0ms (0.2%)

rewrite260.0ms (0.8%)

simplify781.0ms (2.3%)

eval1.0s (3%)

prune456.0ms (1.3%)

localize6.6s (19.3%)

series72.0ms (0.2%)

rewrite129.0ms (0.4%)

simplify369.0ms (1.1%)

eval1.0s (3.1%)

prune316.0ms (0.9%)

regimes71.0ms (0.2%)

regimes60.0ms (0.2%)

regimes52.0ms (0.2%)

regimes49.0ms (0.1%)

regimes40.0ms (0.1%)

regimes36.0ms (0.1%)

regimes20.0ms (0.1%)

regimes17.0ms (0%)

regimes8.0ms (0%)

regimes5.0ms (0%)

regimes17.0ms (0%)

regimes3.0ms (0%)

simplify296.0ms (0.9%)

soundness1.3s (3.8%)

end1.0ms (0%)

preprocess227.0ms (0.7%)

Profiling

Iter	Nodes	Cost
0	27	226
1	49	210
2	101	210
3	201	210
4	378	210
5	481	210
6	638	210
7	720	210
8	762	210
9	768	210