Metrics for Trigonometry B

analyze125.0ms (1.5%)

Memory

-6.9MiB live, 228.9MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
50%	50%	50%	0%	0%	0%	0%	4
50%	50%	50%	0%	0%	0%	0%	5
50%	50%	50%	0%	0%	0%	0%	6
50%	50%	50%	0%	0%	0%	0%	7
50%	50%	50%	0%	0%	0%	0%	8
50%	50%	50%	0%	0%	0%	0%	9
50%	50%	50%	0%	0%	0%	0%	10
50%	50%	50%	0%	0%	0%	0%	11
50%	50%	50%	0%	0%	0%	0%	12

Compiler

Compiled 17 to 9 computations (47.1% saved)

sample832.0ms (9.9%)

Memory

11.3MiB live, 1 353.1MiB allocated

Samples

586.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 391.0ms

ival-tan: 195.0ms (49.9% of total)

ival-mult: 53.0ms (13.6% of total)

ival-div: 48.0ms (12.3% of total)

ival-sub: 41.0ms (10.5% of total)

ival-add: 39.0ms (10% of total)

ival-true: 6.0ms (1.5% of total)

exact: 5.0ms (1.3% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

preprocess445.0ms (5.3%)

Memory

34.1MiB live, 473.8MiB allocated

Algorithm

1×	egg-herbie

Rules

10 592×	`lower-fma.f64`
10 592×	`lower-fma.f32`
2 342×	`lower--.f32`
2 340×	`lower--.f64`
2 012×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	39
1	31	30
2	64	30
3	165	30
4	383	30
5	714	30
6	1303	30
7	1754	30
8	2899	30
9	4148	30
10	5113	30
11	6330	30
12	7186	30
13	7657	30
14	7901	30
15	7971	30
0	7	15
0	12	15
1	23	15
2	34	15
3	53	15
4	92	15
5	155	15
6	254	15
7	565	15
8	1249	15
9	2973	15
10	4326	15
11	5404	15
12	6158	15
13	6507	15
14	6636	15
15	6697	15
16	7563	15
0	8150	14

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))

Outputs

(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))

(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))

Symmetry

(abs x)

explain105.0ms (1.2%)

Memory

6.8MiB live, 159.7MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(*.f64 (tan.f64 x) (tan.f64 x))`
-	-	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))`
-	-	`#s(literal 1 binary64)`
-	-	`(tan.f64 x)`
-	-	`(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))`
-	-	`(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	1	255

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	1	0

Precision?

0.0

Recall?

0/0

Samples

39.0ms

512×

valid

Compiler

Compiled 112 to 32 computations (71.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-tan: 13.0ms (51.5% of total)

ival-div: 3.0ms (11.9% of total)

ival-mult: 3.0ms (11.9% of total)

ival-sub: 2.0ms (7.9% of total)

ival-add: 2.0ms (7.9% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))

Compiler

Compiled 16 to 7 computations (56.3% saved)

simplify351.0ms (4.2%)

Memory

-21.3MiB live, 296.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (tan.f64 x) (tan.f64 x))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
✓	cost-diff	128	(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))

Rules

10 592×	`lower-fma.f64`
10 592×	`lower-fma.f32`
2 342×	`lower--.f32`
2 340×	`lower--.f64`
2 012×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	38
0	12	38
1	23	38
2	34	38
3	53	38
4	92	38
5	155	38
6	254	38
7	565	38
8	1249	38
9	2973	38
10	4326	38
11	5404	38
12	6158	38
13	6507	38
14	6636	38
15	6697	38
16	7563	38
0	8150	36

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
#s(literal 1 binary64)
(*.f64 (tan.f64 x) (tan.f64 x))
(tan.f64 x)
x
(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))

Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
#s(literal 1 binary64)
(*.f64 (tan.f64 x) (tan.f64 x))
(tan.f64 x)
x
(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))

localize29.0ms (0.3%)

Memory

6.8MiB live, 44.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
✓	accuracy	99.8%	(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
✓	accuracy	99.7%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
✓	accuracy	99.6%	(*.f64 (tan.f64 x) (tan.f64 x))

Samples

19.0ms

256×

valid

Compiler

Compiled 40 to 9 computations (77.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-tan: 7.0ms (54.6% of total)

ival-div: 2.0ms (15.6% of total)

ival-mult: 2.0ms (15.6% of total)

ival-sub: 1.0ms (7.8% of total)

ival-add: 1.0ms (7.8% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (*.f64 (tan.f64 x) (tan.f64 x))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))>
#<alt (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))>

Outputs
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt 1>
#<alt (+ 1 (* -2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(* (tan x) (tan x))
1.0ms	x	@	0	(- 1 (* (tan x) (tan x)))
1.0ms	x	@	inf	(* (tan x) (tan x))
1.0ms	x	@	inf	(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
1.0ms	x	@	-inf	(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))

rewrite237.0ms (2.8%)

Memory

26.7MiB live, 372.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 320×	`lower-fma.f64`
3 320×	`lower-fma.f32`
2 864×	`lower-*.f32`
2 862×	`lower-*.f64`
2 666×	`lower-/.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	7	34
0	12	29
1	51	29
2	359	29
3	5064	17
0	10310	17

Stop Event

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

Counts

4 → 373

Calls

Call 1

Inputs
(*.f64 (tan.f64 x) (tan.f64 x))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))

Outputs
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (tan.f64 x))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (tan.f64 x))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(neg.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (*.f64 (tan.f64 x) (sin.f64 x))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (tan.f64 x))) (neg.f64 (cos.f64 x)))
(/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))
(/.f64 (.f64 #s(literal 1 binary64) (sin.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (cos.f64 x)))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (cos.f64 x))))
(/.f64 (.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (.f64 (cos.f64 x) (neg.f64 (cos.f64 x))))
(/.f64 (.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)) (.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(/.f64 (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64)))
(/.f64 (.f64 (sin.f64 x) #s(literal 1 binary64)) (.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 (.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64)) (.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(/.f64 (.f64 (.f64 (tan.f64 x) (sin.f64 x)) #s(literal 1 binary64)) (cos.f64 x))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (sin.f64 x))) (cos.f64 x))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (neg.f64 (tan.f64 x)))) (cos.f64 x))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(/.f64 (*.f64 (tan.f64 x) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(/.f64 (exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (sin.f64 x)))) (exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (cos.f64 x)))))
(/.f64 (exp.f64 (log.f64 (*.f64 (tan.f64 x) (sin.f64 x)))) (exp.f64 (log.f64 (cos.f64 x))))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (neg.f64 (tan.f64 x)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (cos.f64 x) (*.f64 (tan.f64 x) (sin.f64 x))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(.f64 (sin.f64 x) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (tan.f64 x)))
(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))
(*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(.f64 (.f64 (tan.f64 x) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(literal 1 binary64)
(+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(+.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
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(*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) #s(literal 1 binary64)))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 8 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 8 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))

simplify361.0ms (4.3%)

Memory

1.9MiB live, 542.3MiB allocated

Algorithm

1×	egg-herbie

Rules

16 148×	`lower-fma.f64`
16 148×	`lower-fma.f32`
2 936×	`lower-*.f64`
2 936×	`lower-*.f32`
2 512×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	603
1	151	602
2	410	588
3	1152	588
4	2137	588
5	3918	588
6	5293	588
0	8024	567

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))

Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 2/3 binary64)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64))) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 62/315 binary64)) #s(literal 17/45 binary64))) #s(literal 2/3 binary64)) #s(literal 1 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.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 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.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 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.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 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.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 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.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 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.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 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.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 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.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 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -2/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -17/45 binary64)) #s(literal -2/3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 2/3 binary64)) x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(fma.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64))) x) #s(literal 1 binary64))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))

simplify100.0ms (1.2%)

Memory

8.6MiB live, 85.3MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	443	8362
1	444	8362
0	444	8362

Stop Event

1×	saturated
1×	saturated

Counts

373 → 0

Calls

Call 1

Inputs
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (tan.f64 x))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (tan.f64 x))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(neg.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
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(/.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) #s(literal -3 binary64)) (.f64 (pow.f64 (tan.f64 x) #s(literal 18 binary64)) (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) #s(literal -3 binary64)))) (+.f64 (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -3 binary64)) (.f64 (pow.f64 (tan.f64 x) #s(literal 12 binary64)) (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -3 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (+.f64 (pow.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (pow.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 8 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 8 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 18 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 12 binary64))) (pow.f64 (tan.f64 x) #s(literal 6 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 18 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 12 binary64))) (pow.f64 (tan.f64 x) #s(literal 6 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 12 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 12 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 8 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) #s(literal 1 binary64)))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 8 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 8 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))

Outputs
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (tan.f64 x))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (tan.f64 x))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(neg.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (*.f64 (tan.f64 x) (sin.f64 x))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (tan.f64 x))) (neg.f64 (cos.f64 x)))
(/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))
(/.f64 (.f64 #s(literal 1 binary64) (sin.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (cos.f64 x)))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (cos.f64 x))))
(/.f64 (.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (.f64 (cos.f64 x) (neg.f64 (cos.f64 x))))
(/.f64 (.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)) (.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(/.f64 (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64)))
(/.f64 (.f64 (sin.f64 x) #s(literal 1 binary64)) (.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 (.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64)) (.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(/.f64 (.f64 (.f64 (tan.f64 x) (sin.f64 x)) #s(literal 1 binary64)) (cos.f64 x))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (sin.f64 x))) (cos.f64 x))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (neg.f64 (tan.f64 x)))) (cos.f64 x))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(/.f64 (*.f64 (tan.f64 x) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(/.f64 (exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (sin.f64 x)))) (exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (cos.f64 x)))))
(/.f64 (exp.f64 (log.f64 (*.f64 (tan.f64 x) (sin.f64 x)))) (exp.f64 (log.f64 (cos.f64 x))))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (neg.f64 (tan.f64 x)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (cos.f64 x) (*.f64 (tan.f64 x) (sin.f64 x))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(.f64 (sin.f64 x) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (tan.f64 x)))
(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))
(*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(.f64 (.f64 (tan.f64 x) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(literal 1 binary64)
(+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
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(*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) #s(literal 1 binary64)))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 8 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 8 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))

eval13.0ms (0.2%)

Memory: -12.6MiB live, 26.0MiB allocated
Compiler: Compiled 2 263 to 81 computations (96.4% saved)

prune7.0ms (0.1%)

Memory

17.3MiB live, 17.3MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	114	6	120
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	114	7	121

Accuracy

99.7%

Counts

121 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.6%	(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
▶	99.4%	(/.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 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
	99.3%	(/.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 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
▶	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.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)))))
✓	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
▶	62.9%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(literal 1 binary64))
▶	59.5%	#s(literal 1 binary64)

Compiler

Compiled 182 to 107 computations (41.2% saved)

simplify288.0ms (3.4%)

Memory

-51.9MiB live, 334.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(tan.f64 x)
✓	cost-diff	0	(*.f64 (tan.f64 x) (tan.f64 x))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
✓	cost-diff	128	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.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)))))
✓	cost-diff	0	(tan.f64 x)
✓	cost-diff	0	(*.f64 (tan.f64 x) (tan.f64 x))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
✓	cost-diff	704	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 x #s(literal -2 binary64))
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
✓	cost-diff	13568	(/.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 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))

Rules

8 448×	`lower-fma.f32`
8 446×	`lower-fma.f64`
2 276×	`lower-*.f32`
2 272×	`lower-*.f64`
1 230×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	175
0	35	173
1	60	173
2	100	173
3	193	173
4	500	173
5	1148	173
6	2007	173
7	3534	168
8	5810	168
0	8222	167

Stop Event

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

Calls

Call 1

Inputs
(/.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 #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 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.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)))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(sin.f64 x)
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))))
#s(literal 1 binary64)
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
x
(*.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
#s(literal 1 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
#s(literal 1 binary64)
(*.f64 (tan.f64 x) (tan.f64 x))
(tan.f64 x)
x
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.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 (tan.f64 x) (tan.f64 x)))
#s(literal 1 binary64)
(*.f64 (tan.f64 x) (tan.f64 x))
(tan.f64 x)
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 (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))
(sin.f64 x)
#s(literal 2 binary64)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(cos.f64 x)

Outputs
(/.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 #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 #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 #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 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))
(sin.f64 x)
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))))
#s(literal 1 binary64)
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
x
(*.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
#s(literal 1 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(literal 1 binary64))
(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (tan.f64 x) (tan.f64 x))
(tan.f64 x)
x
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.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 (fma.f64 (tan.f64 x) (tan.f64 x) #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 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (tan.f64 x) (tan.f64 x))
(tan.f64 x)
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 (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))
(sin.f64 x)
#s(literal 2 binary64)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(cos.f64 x)

localize93.0ms (1.1%)

Memory

24.3MiB live, 176.6MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
✓	accuracy	99.7%	(pow.f64 (cos.f64 x) #s(literal 2 binary64))
✓	accuracy	99.7%	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
✓	accuracy	99.6%	(*.f64 (tan.f64 x) (tan.f64 x))
✓	accuracy	100.0%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(literal 1 binary64))
✓	accuracy	100.0%	(tan.f64 x)
✓	accuracy	99.8%	(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
✓	accuracy	99.6%	(*.f64 (tan.f64 x) (tan.f64 x))
✓	accuracy	100.0%	(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal -2 binary64))
✓	accuracy	99.7%	(/.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 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
✓	accuracy	99.7%	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
✓	accuracy	99.7%	(pow.f64 (cos.f64 x) #s(literal 2 binary64))
✓	accuracy	99.7%	(pow.f64 (sin.f64 x) #s(literal 2 binary64))

Samples

57.0ms

256×

valid

Compiler

Compiled 178 to 22 computations (87.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-pow2: 8.0ms (20% of total)

ival-div: 6.0ms (15% of total)

ival-sin: 6.0ms (15% of total)

ival-tan: 5.0ms (12.5% of total)

ival-cos: 5.0ms (12.5% of total)

ival-mult: 4.0ms (10% of total)

ival-sub: 4.0ms (10% of total)

ival-add: 2.0ms (5% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

15.4MiB live, 15.4MiB allocated

Counts

10 → 120

Calls

Call 1

Inputs
#<alt (pow.f64 (sin.f64 x) #s(literal 2 binary64))>
#<alt (pow.f64 (cos.f64 x) #s(literal 2 binary64))>
#<alt (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))>
#<alt (/.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 #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 x #s(literal -2 binary64))>
#<alt (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))>
#<alt (*.f64 (tan.f64 x) (tan.f64 x))>
#<alt (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))>
#<alt (tan.f64 x)>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(literal 1 binary64))>

Outputs
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 2)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt 1>
#<alt (+ 1 (* -2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt 1>
#<alt (+ 1 (* -2 (pow x 2)))>
#<alt (+ 1 (* -2 (pow x 2)))>
#<alt (+ 1 (* -2 (pow x 2)))>
#<alt (* -2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 2))>
#<alt (* -2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>

Calls

30 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(+ (* x (* x -2)) 1)
0.0ms	x	@	inf	(/ (pow (sin x) 2) (pow (cos x) 2))
0.0ms	x	@	-inf	(/ (pow (sin x) 2) (pow (cos x) 2))
0.0ms	x	@	inf	(+ (* x (* x -2)) 1)
0.0ms	x	@	0	(pow (sin x) 2)

rewrite324.0ms (3.8%)

Memory

24.9MiB live, 472.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 694×	`lower-fma.f32`
4 692×	`lower-fma.f64`
3 618×	`lower-/.f32`
3 612×	`lower-/.f64`
3 512×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	72
0	33	72
1	126	52
2	928	52
0	8883	52

Stop Event

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

Counts

10 → 470

Calls

Call 1

Inputs
(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)) (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)))) (+.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 x #s(literal -2 binary64))
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 (tan.f64 x) (tan.f64 x))
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
(tan.f64 x)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(literal 1 binary64))

Outputs
(+.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 x))))
(exp.f64 (.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (sin.f64 x))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (sin.f64 x)) (log.f64 (sin.f64 x))))
(-.f64 #s(literal 0 binary64) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))
(-.f64 (/.f64 (cos.f64 #s(literal 0 binary64)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 x x)) #s(literal 2 binary64)))
(neg.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 x x)))))
(/.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 x x))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 x x)))) #s(literal -2 binary64))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sin.f64 x)))
(*.f64 (sin.f64 x) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 (neg.f64 (sin.f64 x))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))
(.f64 #s(literal -1 binary64) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))
(*.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64))
(*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)))
(*.f64 (neg.f64 (neg.f64 (sin.f64 x))) (sin.f64 x))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cos.f64 x))))
(exp.f64 (.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cos.f64 x))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (cos.f64 x)) (log.f64 (cos.f64 x))))
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(neg.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 #s(literal 0 binary64)))))
(/.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal -1 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 #s(literal 0 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 #s(literal 0 binary64)))) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) (cos.f64 x))
(*.f64 (cos.f64 x) (neg.f64 (neg.f64 (cos.f64 x))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(.f64 #s(literal -1 binary64) (+.f64 #s(literal -1/2 binary64) (neg.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(*.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))
(*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))
(*.f64 (neg.f64 (neg.f64 (cos.f64 x))) (cos.f64 x))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (tan.f64 x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)))
(exp.f64 (.f64 (fma.f64 #s(literal 2 binary64) (log.f64 (cos.f64 x)) (.f64 #s(literal -2 binary64) (log.f64 (sin.f64 x)))) #s(literal -1 binary64)))
(exp.f64 (fma.f64 #s(literal -2 binary64) (log.f64 (cos.f64 x)) (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 x)))))
(exp.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (log.f64 (cos.f64 x)) (*.f64 #s(literal -2 binary64) (log.f64 (sin.f64 x))))))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(neg.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (*.f64 (tan.f64 x) (sin.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) (tan.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (cos.f64 x))))
(/.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 #s(literal -1/2 binary64) (neg.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(/.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (tan.f64 x) (sin.f64 x))) (neg.f64 (cos.f64 x)))
(/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))
(/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (cos.f64 x)) (cos.f64 x))
(/.f64 (neg.f64 (neg.f64 (*.f64 (tan.f64 x) (sin.f64 x)))) (cos.f64 x))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (tan.f64 x))) (neg.f64 (cos.f64 x)))
(/.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (cos.f64 x))) (neg.f64 (cos.f64 x)))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))
(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))
(*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (cos.f64 x)))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (/.f64 (cos.f64 x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal -1 binary64)))
(.f64 (.f64 (tan.f64 x) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(.f64 (.f64 (sin.f64 x) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (tan.f64 x) (sqrt.f64 (cos.f64 x))))
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(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64)) (-.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (fma.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))) (.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))))
(pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))

simplify589.0ms (7%)

Memory

6.0MiB live, 799.6MiB allocated

Algorithm

1×	egg-herbie

Rules

22 066×	`lower-fma.f64`
22 066×	`lower-fma.f32`
4 716×	`lower-*.f64`
4 716×	`lower-*.f32`
3 778×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	1083
1	290	1080
2	796	1044
3	2564	1044
4	4565	1044
5	5648	1044
0	8254	996

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 119

Calls

Call 1

Inputs
(pow x 2)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(pow (cos x) 2)
(pow (cos x) 2)
(pow (cos x) 2)
(pow (cos x) 2)
(pow (cos x) 2)
(pow (cos x) 2)
(pow (cos x) 2)
(pow (cos x) 2)
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* -2 (pow x 2)))
(+ 1 (* -2 (pow x 2)))
(* -2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(* -2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))

Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))) x))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 2/45 binary64)) #s(literal -1/3 binary64))) x))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/315 binary64)) #s(literal 2/45 binary64))) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -2/45 binary64)) #s(literal 1/3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 2/3 binary64)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) (.f64 x (.f64 x x)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64))) #s(literal 2/3 binary64)) (.f64 x (*.f64 x x)) x))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.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 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.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 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.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 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.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 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.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 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.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 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.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 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.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 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* -2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* -2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(* -2 (pow x 2))
(.f64 (.f64 x x) #s(literal -2 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(* -2 (pow x 2))
(.f64 (.f64 x x) #s(literal -2 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 2/3 binary64)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) (.f64 x (.f64 x x)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64))) #s(literal 2/3 binary64)) (.f64 x (*.f64 x x)) x))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -2/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -17/45 binary64)) #s(literal -2/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.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
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64))) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x)
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -2/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -17/45 binary64)) #s(literal -2/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))

simplify75.0ms (0.9%)

Memory

3.8MiB live, 118.5MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	727	9374
1	728	9374
0	728	9374

Stop Event

1×	saturated
1×	saturated

Counts

470 → 0

Calls

Call 1

Inputs
(+.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 x))))
(exp.f64 (.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (sin.f64 x))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (sin.f64 x)) (log.f64 (sin.f64 x))))
(-.f64 #s(literal 0 binary64) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))
(-.f64 (/.f64 (cos.f64 #s(literal 0 binary64)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 x x)) #s(literal 2 binary64)))
(neg.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 x x)))))
(/.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 x x))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 x x)))) #s(literal -2 binary64))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sin.f64 x)))
(*.f64 (sin.f64 x) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 (neg.f64 (sin.f64 x))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))
(.f64 #s(literal -1 binary64) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))
(*.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64))
(*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)))
(*.f64 (neg.f64 (neg.f64 (sin.f64 x))) (sin.f64 x))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cos.f64 x))))
(exp.f64 (.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cos.f64 x))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (cos.f64 x)) (log.f64 (cos.f64 x))))
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(neg.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 #s(literal 0 binary64)))))
(/.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal -1 binary64))
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(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(fma.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal 1 binary64))
(fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal 1 binary64))
(fma.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64))
(fma.f64 (neg.f64 (sin.f64 x)) (/.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))
(fma.f64 (neg.f64 (*.f64 (tan.f64 x) (sin.f64 x))) (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (cos.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 (neg.f64 (tan.f64 x)) (sqrt.f64 (cos.f64 x))) (/.f64 (sin.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(neg.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64)) (-.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (fma.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))) (.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))))
(pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))

Outputs
(+.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 x))))
(exp.f64 (.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (sin.f64 x))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (sin.f64 x)) (log.f64 (sin.f64 x))))
(-.f64 #s(literal 0 binary64) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))
(-.f64 (/.f64 (cos.f64 #s(literal 0 binary64)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 x x)) #s(literal 2 binary64)))
(neg.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 x x)))))
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(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))

eval54.0ms (0.6%)

Memory: -8.8MiB live, 113.2MiB allocated
Compiler: Compiled 9 419 to 203 computations (97.8% saved)

prune16.0ms (0.2%)

Memory

8.3MiB live, 47.0MiB allocated

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	492	4	496
Fresh	0	1	1
Picked	0	5	5
Done	0	1	1
Total	492	11	503

Accuracy

99.7%

Counts

503 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.6%	(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
✓	99.4%	(/.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 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
▶	99.3%	(/.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 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
▶	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.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)))))
▶	62.9%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))) #s(literal 1 binary64))
✓	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.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)))))
✓	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
✓	62.9%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(literal 1 binary64))
▶	62.9%	(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
▶	54.5%	(-.f64 #s(literal 1 binary64) (*.f64 x x))
✓	59.5%	#s(literal 1 binary64)

Compiler

Compiled 227 to 142 computations (37.4% saved)

simplify251.0ms (3%)

Memory

-7.2MiB live, 309.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
✓	cost-diff	0	(/.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 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
✓	cost-diff	128	(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
✓	cost-diff	0	(sin.f64 x)
✓	cost-diff	0	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
✓	cost-diff	0	(/.f64 (sin.f64 x) (cos.f64 x))
✓	cost-diff	0	(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x)))
✓	cost-diff	704	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 x x))
✓	cost-diff	0	(/.f64 (sin.f64 x) (cos.f64 x))
✓	cost-diff	0	(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x)))
✓	cost-diff	128	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.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)))))

Rules

8 586×	`lower-fma.f64`
8 586×	`lower-fma.f32`
3 020×	`lower-*.f32`
3 014×	`lower-*.f64`
1 354×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	238
0	39	236
1	69	236
2	136	236
3	279	236
4	741	236
5	1484	236
6	2422	236
7	3698	236
8	5196	236
9	7320	236
0	8099	233

Stop Event

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

Calls

Call 1

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

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

localize119.0ms (1.4%)

Memory

-8.4MiB live, 148.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
✓	accuracy	99.7%	(pow.f64 (cos.f64 x) #s(literal 2 binary64))
✓	accuracy	99.7%	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
✓	accuracy	99.6%	(*.f64 (tan.f64 x) (tan.f64 x))
✓	accuracy	99.8%	(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
✓	accuracy	99.7%	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
✓	accuracy	99.7%	(pow.f64 (cos.f64 x) #s(literal 2 binary64))
✓	accuracy	99.7%	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	99.8%	(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x)))
✓	accuracy	99.8%	(/.f64 (sin.f64 x) (cos.f64 x))
✓	accuracy	99.6%	(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.7%	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
✓	accuracy	99.7%	(pow.f64 (cos.f64 x) #s(literal 2 binary64))
✓	accuracy	99.7%	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
✓	accuracy	99.6%	(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))

Samples

64.0ms

256×

valid

Compiler

Compiled 240 to 23 computations (90.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-div: 7.0ms (17.8% of total)

ival-cos: 7.0ms (17.8% of total)

ival-sin: 6.0ms (15.2% of total)

ival-mult: 4.0ms (10.2% of total)

ival-tan: 4.0ms (10.2% of total)

ival-pow2: 4.0ms (10.2% of total)

ival-sub: 3.0ms (7.6% of total)

ival-add: 2.0ms (5.1% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series4.0ms (0%)

Memory

5.1MiB live, 5.1MiB allocated

Counts

11 → 132

Calls

Call 1

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

Outputs
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 2)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>

Calls

33 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(* (/ (sin x) (cos x)) (tan x))
1.0ms	x	@	-inf	(* (/ (sin x) (cos x)) (tan x))
0.0ms	x	@	0	(* (/ (sin x) (cos x)) (tan x))
0.0ms	x	@	0	(* x x)
0.0ms	x	@	inf	(* x x)

rewrite242.0ms (2.9%)

Memory

-11.3MiB live, 299.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 320×	`lower-fma.f64`
4 320×	`lower-fma.f32`
3 788×	`lower-*.f32`
3 784×	`lower-*.f64`
2 532×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	66
0	29	44
1	108	44
2	757	44
0	9015	44

Stop Event

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

Counts

11 → 533

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (tan.f64 x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (-.f64 (log.f64 (cos.f64 x)) (log.f64 (sin.f64 x)))) #s(literal -1 binary64)))
(exp.f64 (fma.f64 (log.f64 (cos.f64 x)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 x)))))
(exp.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 (log.f64 (cos.f64 x)) (log.f64 (sin.f64 x))))))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(neg.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (tan.f64 x)))
(/.f64 (sin.f64 x) (neg.f64 (neg.f64 (/.f64 (cos.f64 x) (tan.f64 x)))))
(/.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))
(/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (tan.f64 x))))
(/.f64 (neg.f64 (tan.f64 x)) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64))))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (tan.f64 x))) (neg.f64 (cos.f64 x)))
(/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal -1 binary64)) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(/.f64 (*.f64 (tan.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(/.f64 (.f64 (.f64 (sin.f64 x) (neg.f64 (tan.f64 x))) #s(literal 1 binary64)) (neg.f64 (cos.f64 x)))
(/.f64 (.f64 (.f64 (sin.f64 x) (tan.f64 x)) #s(literal 1 binary64)) (cos.f64 x))
(/.f64 (.f64 (.f64 (sin.f64 x) (tan.f64 x)) #s(literal -1 binary64)) (neg.f64 (cos.f64 x)))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 x x)))) #s(literal 2 binary64))
(/.f64 (.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 x x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) #s(literal 2 binary64))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))
(.f64 (sin.f64 x) (.f64 (/.f64 (tan.f64 x) (cos.f64 x)) #s(literal 1 binary64)))
(.f64 (sin.f64 x) (.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (tan.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal 2 binary64)))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 x))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (cos.f64 x) (tan.f64 x)))))
(.f64 (neg.f64 (sin.f64 x)) (.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))
(.f64 (neg.f64 (sin.f64 x)) (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (tan.f64 x)))
(.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))
(.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 (sin.f64 x) (tan.f64 x)))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) (tan.f64 x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))
(*.f64 (neg.f64 (tan.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(.f64 (.f64 (sin.f64 x) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(.f64 (.f64 (sin.f64 x) (tan.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(.f64 (.f64 (sin.f64 x) (neg.f64 (tan.f64 x))) (/.f64 #s(literal -1 binary64) (cos.f64 x)))
(.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (.f64 (sin.f64 x) (neg.f64 (tan.f64 x))))
(.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (tan.f64 x) (cos.f64 x))))
(*.f64 (/.f64 (tan.f64 x) (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (tan.f64 x) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (tan.f64 x) (sqrt.f64 (cos.f64 x))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (/.f64 (.f64 (sin.f64 x) (tan.f64 x)) (sqrt.f64 (cos.f64 x))))
(.f64 (/.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 x)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) (/.f64 (tan.f64 x) (cos.f64 x)))
(*.f64 (/.f64 (tan.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (sin.f64 x) (sqrt.f64 (cos.f64 x))))
(.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (sqrt.f64 (cos.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sqrt.f64 (cos.f64 x))))
(*.f64 (/.f64 (tan.f64 x) #s(literal -1 binary64)) (neg.f64 (tan.f64 x)))
(*.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) #s(literal -1/2 binary64)))
(.f64 (.f64 (*.f64 (sin.f64 x) (tan.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(+.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 x))))
(exp.f64 (.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (sin.f64 x))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (sin.f64 x)) (log.f64 (sin.f64 x))))
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))
(-.f64 (/.f64 (cos.f64 #s(literal 0 binary64)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 x x)) #s(literal 2 binary64)))
(neg.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 x x)))))
(/.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 x x))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 x x)))) #s(literal -2 binary64))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 x x)))) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 x x))) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))
(pow.f64 (neg.f64 (sin.f64 x)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sin.f64 x)))
(*.f64 (sin.f64 x) (sin.f64 x))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))
(*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)))
(*.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64))
(.f64 #s(literal -1 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 x)))
(.f64 (.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(.f64 (.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) (sin.f64 x))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cos.f64 x))))
(exp.f64 (.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cos.f64 x))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (cos.f64 x)) (log.f64 (cos.f64 x))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(neg.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 #s(literal 0 binary64)))))
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(*.f64 (/.f64 (tan.f64 x) (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (tan.f64 x) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (tan.f64 x) (sqrt.f64 (cos.f64 x))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (/.f64 (.f64 (sin.f64 x) (tan.f64 x)) (sqrt.f64 (cos.f64 x))))
(.f64 (/.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 x)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) (/.f64 (tan.f64 x) (cos.f64 x)))
(*.f64 (/.f64 (tan.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (sin.f64 x) (sqrt.f64 (cos.f64 x))))
(.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (sqrt.f64 (cos.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sqrt.f64 (cos.f64 x))))
(*.f64 (/.f64 (tan.f64 x) #s(literal -1 binary64)) (neg.f64 (tan.f64 x)))
(*.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) #s(literal -1/2 binary64)))
(.f64 (.f64 (*.f64 (sin.f64 x) (tan.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 x)))

simplify748.0ms (8.9%)

Memory

14.4MiB live, 567.4MiB allocated

Algorithm

1×	egg-herbie

Rules

21 780×	`lower-fma.f64`
21 780×	`lower-fma.f32`
4 570×	`lower-*.f64`
4 570×	`lower-*.f32`
3 894×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	1030
1	286	1018
2	797	976
3	2582	976
4	4511	976
5	5485	976
0	8095	931

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 131

Calls

Call 1

Inputs
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(pow x 2)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(pow (cos x) 2)
(pow (cos x) 2)
(pow (cos x) 2)
(pow (cos x) 2)
(pow (cos x) 2)
(pow (cos x) 2)
(pow (cos x) 2)
(pow (cos x) 2)
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1 (pow x 2)))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))

Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 2/3 binary64)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) (.f64 x (.f64 x x)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(.f64 x (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 62/315 binary64)) #s(literal 17/45 binary64)) #s(literal 2/3 binary64)) (.f64 x (*.f64 x x)) x))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/315 binary64) #s(literal 2/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -2/45 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 2/3 binary64)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) (.f64 x (.f64 x x)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(.f64 x (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 62/315 binary64)) #s(literal 17/45 binary64)) #s(literal 2/3 binary64)) (.f64 x (*.f64 x x)) x))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* -1 (pow x 2))
(neg.f64 (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* -1 (pow x 2))
(neg.f64 (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64))) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x)
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -2/3 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -17/45 binary64) #s(literal -2/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -2/3 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -17/45 binary64) #s(literal -2/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.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 x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 2/3 binary64)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) (.f64 x (.f64 x x)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(.f64 x (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 62/315 binary64)) #s(literal 17/45 binary64)) #s(literal 2/3 binary64)) (.f64 x (*.f64 x x)) x))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))

simplify396.0ms (4.7%)

Memory

-21.6MiB live, 130.5MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	645	7940
1	646	7940
0	646	7940

Stop Event

1×	saturated
1×	saturated

Counts

533 → 0

Calls

Call 1

Inputs
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (tan.f64 x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (-.f64 (log.f64 (cos.f64 x)) (log.f64 (sin.f64 x)))) #s(literal -1 binary64)))
(exp.f64 (fma.f64 (log.f64 (cos.f64 x)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 x)))))
(exp.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 (log.f64 (cos.f64 x)) (log.f64 (sin.f64 x))))))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(neg.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (tan.f64 x)))
(/.f64 (sin.f64 x) (neg.f64 (neg.f64 (/.f64 (cos.f64 x) (tan.f64 x)))))
(/.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))
(/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (tan.f64 x))))
(/.f64 (neg.f64 (tan.f64 x)) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64))))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (tan.f64 x))) (neg.f64 (cos.f64 x)))
(/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal -1 binary64)) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(/.f64 (*.f64 (tan.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(/.f64 (.f64 (.f64 (sin.f64 x) (neg.f64 (tan.f64 x))) #s(literal 1 binary64)) (neg.f64 (cos.f64 x)))
(/.f64 (.f64 (.f64 (sin.f64 x) (tan.f64 x)) #s(literal 1 binary64)) (cos.f64 x))
(/.f64 (.f64 (.f64 (sin.f64 x) (tan.f64 x)) #s(literal -1 binary64)) (neg.f64 (cos.f64 x)))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 x x)))) #s(literal 2 binary64))
(/.f64 (.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 x x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) #s(literal 2 binary64))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))
(.f64 (sin.f64 x) (.f64 (/.f64 (tan.f64 x) (cos.f64 x)) #s(literal 1 binary64)))
(.f64 (sin.f64 x) (.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (tan.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal 2 binary64)))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 x))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (cos.f64 x) (tan.f64 x)))))
(.f64 (neg.f64 (sin.f64 x)) (.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))
(.f64 (neg.f64 (sin.f64 x)) (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (tan.f64 x)))
(.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))
(.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 (sin.f64 x) (tan.f64 x)))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) (tan.f64 x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))
(*.f64 (neg.f64 (tan.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(.f64 (.f64 (sin.f64 x) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(.f64 (.f64 (sin.f64 x) (tan.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(.f64 (.f64 (sin.f64 x) (neg.f64 (tan.f64 x))) (/.f64 #s(literal -1 binary64) (cos.f64 x)))
(.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (.f64 (sin.f64 x) (neg.f64 (tan.f64 x))))
(.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (tan.f64 x) (cos.f64 x))))
(*.f64 (/.f64 (tan.f64 x) (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (tan.f64 x) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (tan.f64 x) (sqrt.f64 (cos.f64 x))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (/.f64 (.f64 (sin.f64 x) (tan.f64 x)) (sqrt.f64 (cos.f64 x))))
(.f64 (/.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 x)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) (/.f64 (tan.f64 x) (cos.f64 x)))
(*.f64 (/.f64 (tan.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (sin.f64 x) (sqrt.f64 (cos.f64 x))))
(.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (sqrt.f64 (cos.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sqrt.f64 (cos.f64 x))))
(*.f64 (/.f64 (tan.f64 x) #s(literal -1 binary64)) (neg.f64 (tan.f64 x)))
(*.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) #s(literal -1/2 binary64)))
(.f64 (.f64 (*.f64 (sin.f64 x) (tan.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(+.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 x))))
(exp.f64 (.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (sin.f64 x))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (sin.f64 x)) (log.f64 (sin.f64 x))))
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))
(-.f64 (/.f64 (cos.f64 #s(literal 0 binary64)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 x x)) #s(literal 2 binary64)))
(neg.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 x x)))))
(/.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 x x))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 x x)))) #s(literal -2 binary64))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 x x)))) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 x x))) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))
(pow.f64 (neg.f64 (sin.f64 x)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sin.f64 x)))
(*.f64 (sin.f64 x) (sin.f64 x))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))
(*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)))
(*.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64))
(.f64 #s(literal -1 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 x)))
(.f64 (.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(.f64 (.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) (sin.f64 x))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cos.f64 x))))
(exp.f64 (.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cos.f64 x))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (cos.f64 x)) (log.f64 (cos.f64 x))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(neg.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 #s(literal 0 binary64)))))
(/.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal -1 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 #s(literal 0 binary64))) #s(literal 2 binary64))
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(*.f64 (/.f64 (tan.f64 x) (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (tan.f64 x) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (tan.f64 x) (sqrt.f64 (cos.f64 x))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (/.f64 (.f64 (sin.f64 x) (tan.f64 x)) (sqrt.f64 (cos.f64 x))))
(.f64 (/.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 x)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) (/.f64 (tan.f64 x) (cos.f64 x)))
(*.f64 (/.f64 (tan.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (sin.f64 x) (sqrt.f64 (cos.f64 x))))
(.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (sqrt.f64 (cos.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sqrt.f64 (cos.f64 x))))
(*.f64 (/.f64 (tan.f64 x) #s(literal -1 binary64)) (neg.f64 (tan.f64 x)))
(*.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) #s(literal -1/2 binary64)))
(.f64 (.f64 (*.f64 (sin.f64 x) (tan.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 x)))

Outputs
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (tan.f64 x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (-.f64 (log.f64 (cos.f64 x)) (log.f64 (sin.f64 x)))) #s(literal -1 binary64)))
(exp.f64 (fma.f64 (log.f64 (cos.f64 x)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 x)))))
(exp.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 (log.f64 (cos.f64 x)) (log.f64 (sin.f64 x))))))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(neg.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (tan.f64 x)))
(/.f64 (sin.f64 x) (neg.f64 (neg.f64 (/.f64 (cos.f64 x) (tan.f64 x)))))
(/.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))
(/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (tan.f64 x))))
(/.f64 (neg.f64 (tan.f64 x)) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64))))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (tan.f64 x))) (neg.f64 (cos.f64 x)))
(/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal -1 binary64)) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(/.f64 (*.f64 (tan.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(/.f64 (.f64 (.f64 (sin.f64 x) (neg.f64 (tan.f64 x))) #s(literal 1 binary64)) (neg.f64 (cos.f64 x)))
(/.f64 (.f64 (.f64 (sin.f64 x) (tan.f64 x)) #s(literal 1 binary64)) (cos.f64 x))
(/.f64 (.f64 (.f64 (sin.f64 x) (tan.f64 x)) #s(literal -1 binary64)) (neg.f64 (cos.f64 x)))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 x x)))) #s(literal 2 binary64))
(/.f64 (.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 x x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) #s(literal 2 binary64))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))
(.f64 (sin.f64 x) (.f64 (/.f64 (tan.f64 x) (cos.f64 x)) #s(literal 1 binary64)))
(.f64 (sin.f64 x) (.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (tan.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal 2 binary64)))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 x))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (cos.f64 x) (tan.f64 x)))))
(.f64 (neg.f64 (sin.f64 x)) (.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))
(.f64 (neg.f64 (sin.f64 x)) (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (tan.f64 x)))
(.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))
(.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 (sin.f64 x) (tan.f64 x)))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) (tan.f64 x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))
(*.f64 (neg.f64 (tan.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(.f64 (.f64 (sin.f64 x) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(.f64 (.f64 (sin.f64 x) (tan.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(.f64 (.f64 (sin.f64 x) (neg.f64 (tan.f64 x))) (/.f64 #s(literal -1 binary64) (cos.f64 x)))
(.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (.f64 (sin.f64 x) (neg.f64 (tan.f64 x))))
(.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (tan.f64 x) (cos.f64 x))))
(*.f64 (/.f64 (tan.f64 x) (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (tan.f64 x) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (tan.f64 x) (sqrt.f64 (cos.f64 x))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (/.f64 (.f64 (sin.f64 x) (tan.f64 x)) (sqrt.f64 (cos.f64 x))))
(.f64 (/.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 x)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) (/.f64 (tan.f64 x) (cos.f64 x)))
(*.f64 (/.f64 (tan.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (sin.f64 x) (sqrt.f64 (cos.f64 x))))
(.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (sqrt.f64 (cos.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sqrt.f64 (cos.f64 x))))
(*.f64 (/.f64 (tan.f64 x) #s(literal -1 binary64)) (neg.f64 (tan.f64 x)))
(*.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) #s(literal -1/2 binary64)))
(.f64 (.f64 (*.f64 (sin.f64 x) (tan.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(+.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 x))))
(exp.f64 (.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (sin.f64 x))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (sin.f64 x)) (log.f64 (sin.f64 x))))
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))
(-.f64 (/.f64 (cos.f64 #s(literal 0 binary64)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 x x)) #s(literal 2 binary64)))
(neg.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 x x)))))
(/.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 x x))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 x x)))) #s(literal -2 binary64))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 x x)))) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 x x))) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))
(pow.f64 (neg.f64 (sin.f64 x)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sin.f64 x)))
(*.f64 (sin.f64 x) (sin.f64 x))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))
(*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)))
(*.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64))
(.f64 #s(literal -1 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 x)))
(.f64 (.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(.f64 (.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) (sin.f64 x))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cos.f64 x))))
(exp.f64 (.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cos.f64 x))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (cos.f64 x)) (log.f64 (cos.f64 x))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(neg.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 #s(literal 0 binary64)))))
(/.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal -1 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 #s(literal 0 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 #s(literal 0 binary64)))) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))
(pow.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) (cos.f64 x))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))
(*.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(.f64 (sqrt.f64 (cos.f64 x)) (.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 x)))
(.f64 (.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(.f64 (.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)) (cos.f64 x))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (tan.f64 x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (-.f64 (log.f64 (cos.f64 x)) (log.f64 (sin.f64 x)))) #s(literal -1 binary64)))
(exp.f64 (fma.f64 (log.f64 (cos.f64 x)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 x)))))
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(*.f64 (/.f64 (tan.f64 x) #s(literal -1 binary64)) (neg.f64 (tan.f64 x)))
(*.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) #s(literal -1/2 binary64)))
(.f64 (.f64 (*.f64 (sin.f64 x) (tan.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 x)))

eval76.0ms (0.9%)

Memory: 36.1MiB live, 148.6MiB allocated
Compiler: Compiled 10 491 to 227 computations (97.8% saved)

prune53.0ms (0.6%)

Memory

-13.6MiB live, 30.2MiB allocated

Pruning

14 alts after pruning (3 fresh and 11 done)

	Pruned	Kept	Total
New	593	3	596
Fresh	0	0	0
Picked	0	5	5
Done	0	6	6
Total	593	14	607

Accuracy

99.7%

Counts

607 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.6%	(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
✓	99.4%	(/.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 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
✓	99.3%	(/.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 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
✓	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.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)))))
✓	62.9%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))) #s(literal 1 binary64))
▶	61.3%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 x) #s(literal 1 binary64)) (tan.f64 x))) #s(literal 1 binary64))
✓	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.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)))))
✓	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
✓	62.9%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(literal 1 binary64))
✓	62.9%	(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
▶	59.9%	(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
✓	54.5%	(-.f64 #s(literal 1 binary64) (*.f64 x x))
▶	2.6%	(neg.f64 (*.f64 x x))
✓	59.5%	#s(literal 1 binary64)

Compiler

Compiled 179 to 111 computations (38% saved)

simplify465.0ms (5.5%)

Memory

-4.5MiB live, 634.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (/.f64 (sin.f64 x) #s(literal 1 binary64)) (tan.f64 x))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 x) #s(literal 1 binary64)) (tan.f64 x)))
✓	cost-diff	704	(/.f64 (sin.f64 x) #s(literal 1 binary64))
✓	cost-diff	704	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 x) #s(literal 1 binary64)) (tan.f64 x))) #s(literal 1 binary64))
✓	cost-diff	0	(sin.f64 x)
✓	cost-diff	0	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
✓	cost-diff	704	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(neg.f64 (*.f64 x x))

Rules

21 192×	`lower-fma.f64`
21 192×	`lower-fma.f32`
2 980×	`lower-*.f32`
2 976×	`lower-*.f64`
2 470×	`lower-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	68
0	25	54
1	51	53
2	83	53
3	112	53
4	148	53
5	196	53
6	302	53
7	649	53
8	1013	53
9	1568	53
10	2443	53
11	3749	53
12	4781	53
13	5274	53
14	5698	53
15	5854	53
16	5930	53
17	6139	53
18	7239	53
19	7518	53
0	8320	53

Stop Event

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

Calls

Call 1

Inputs
(neg.f64 (*.f64 x x))
(*.f64 x x)
x
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(literal 1 binary64)
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(sin.f64 x)
x
#s(literal 2 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 x) #s(literal 1 binary64)) (tan.f64 x))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 x) #s(literal 1 binary64)) (tan.f64 x)))
#s(literal 1 binary64)
(*.f64 (/.f64 (sin.f64 x) #s(literal 1 binary64)) (tan.f64 x))
(/.f64 (sin.f64 x) #s(literal 1 binary64))
(sin.f64 x)
x
(tan.f64 x)

Outputs
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(*.f64 x x)
x
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
#s(literal 1 binary64)
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(sin.f64 x)
x
#s(literal 2 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 x) #s(literal 1 binary64)) (tan.f64 x))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (tan.f64 x)))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 x) #s(literal 1 binary64)) (tan.f64 x)))
(-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (tan.f64 x)))
#s(literal 1 binary64)
(*.f64 (/.f64 (sin.f64 x) #s(literal 1 binary64)) (tan.f64 x))
(*.f64 (sin.f64 x) (tan.f64 x))
(/.f64 (sin.f64 x) #s(literal 1 binary64))
(sin.f64 x)
(sin.f64 x)
x
(tan.f64 x)

localize76.0ms (0.9%)

Memory

-8.4MiB live, 69.0MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(tan.f64 x)
✓	accuracy	100.0%	(sin.f64 x)
✓	accuracy	99.8%	(*.f64 (/.f64 (sin.f64 x) #s(literal 1 binary64)) (tan.f64 x))
✓	accuracy	99.8%	(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 x) #s(literal 1 binary64)) (tan.f64 x)))
✓	accuracy	100.0%	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(sin.f64 x)
✓	accuracy	99.7%	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
✓	accuracy	99.5%	(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(neg.f64 (*.f64 x x))

Samples

34.0ms

256×

valid

Compiler

Compiled 70 to 16 computations (77.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-div: 5.0ms (20.9% of total)

ival-sin: 5.0ms (20.9% of total)

ival-tan: 4.0ms (16.7% of total)

ival-mult: 3.0ms (12.5% of total)

ival-sub: 2.0ms (8.4% of total)

ival-pow2: 2.0ms (8.4% of total)

ival-neg: 1.0ms (4.2% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series2.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Counts

9 → 108

Calls

Call 1

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

Outputs
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))>
#<alt (- 1 (pow (sin x) 2))>
#<alt (- 1 (pow (sin x) 2))>
#<alt (- 1 (pow (sin x) 2))>
#<alt (- 1 (pow (sin x) 2))>
#<alt (- 1 (pow (sin x) 2))>
#<alt (- 1 (pow (sin x) 2))>
#<alt (- 1 (pow (sin x) 2))>
#<alt (- 1 (pow (sin x) 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/6 (pow x 2)) 1)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -31/360 (pow x 2)) 1/6)) 1)))>
#<alt (- 1 (/ (pow (sin x) 2) (cos x)))>
#<alt (- 1 (/ (pow (sin x) 2) (cos x)))>
#<alt (- 1 (/ (pow (sin x) 2) (cos x)))>
#<alt (- 1 (/ (pow (sin x) 2) (cos x)))>
#<alt (- 1 (/ (pow (sin x) 2) (cos x)))>
#<alt (- 1 (/ (pow (sin x) 2) (cos x)))>
#<alt (- 1 (/ (pow (sin x) 2) (cos x)))>
#<alt (- 1 (/ (pow (sin x) 2) (cos x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/6 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* 31/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 31/360 (* 173/5040 (pow x 2))))))))>
#<alt (/ (pow (sin x) 2) (cos x))>
#<alt (/ (pow (sin x) 2) (cos x))>
#<alt (/ (pow (sin x) 2) (cos x))>
#<alt (/ (pow (sin x) 2) (cos x))>
#<alt (/ (pow (sin x) 2) (cos x))>
#<alt (/ (pow (sin x) 2) (cos x))>
#<alt (/ (pow (sin x) 2) (cos x))>
#<alt (/ (pow (sin x) 2) (cos x))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>

Calls

27 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(sin x)
0.0ms	x	@	inf	(- 1 (* (/ (sin x) 1) (tan x)))
0.0ms	x	@	0	(- 1 (* (/ (sin x) 1) (tan x)))
0.0ms	x	@	0	(* (/ (sin x) 1) (tan x))
0.0ms	x	@	-inf	(- 1 (* (/ (sin x) 1) (tan x)))

rewrite233.0ms (2.8%)

Memory

24.5MiB live, 383.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 552×	`lower-fma.f64`
4 552×	`lower-fma.f32`
2 378×	`lower-*.f32`
2 374×	`lower-*.f64`
1 530×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	45
0	23	37
1	93	36
2	551	35
3	5121	35
0	9253	34

Stop Event

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

Counts

9 → 548

Calls

Call 1

Inputs
(neg.f64 (*.f64 x x))
(*.f64 x x)
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(sin.f64 x)
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 x) #s(literal 1 binary64)) (tan.f64 x)))
(*.f64 (/.f64 (sin.f64 x) #s(literal 1 binary64)) (tan.f64 x))
(tan.f64 x)

Outputs
(+.f64 (neg.f64 (*.f64 x x)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x)))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 x x))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 x x))
(fma.f64 x (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) x #s(literal 0 binary64))
(fma.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 0 binary64))
(neg.f64 (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (.f64 x x))) (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (neg.f64 (.f64 x (.f64 x (.f64 x x))))))
(/.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x))))
(/.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (.f64 x x))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (neg.f64 (.f64 x (.f64 x (.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x))))) (neg.f64 (.f64 x x)))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 (neg.f64 (.f64 x x)) (neg.f64 (.f64 x x))) (neg.f64 (.f64 x x)))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (neg.f64 (.f64 x x)) (neg.f64 (.f64 x x))) (.f64 #s(literal 0 binary64) (neg.f64 (.f64 x x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 (.f64 x x)) (neg.f64 (.f64 x x)))) (-.f64 #s(literal 0 binary64) (neg.f64 (.f64 x x))))
(pow.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 x x) (neg.f64 (.f64 x (.f64 x (.f64 x x))))) #s(literal -1 binary64))
(*.f64 x (neg.f64 x))
(.f64 (.f64 x x) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 x x))
(*.f64 (neg.f64 x) x)
(.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(+.f64 (*.f64 x x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x x))
(exp.f64 (log.f64 (*.f64 x x)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1 binary64) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(fma.f64 x x #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(literal 0 binary64))
(/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
(/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x))
(/.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (neg.f64 (.f64 x x)))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 0 binary64))))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))
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(*.f64 (pow.f64 (sin.f64 x) #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal 3/2 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))
(.f64 (.f64 (tan.f64 x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (tan.f64 x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (tan.f64 x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 x))) (tan.f64 x))
(tan.f64 x)
(neg.f64 (tan.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (neg.f64 (cos.f64 x)))
(/.f64 (sin.f64 x) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))
(/.f64 (sin.f64 x) (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))
(/.f64 (sin.f64 x) (neg.f64 (neg.f64 (cos.f64 x))))
(/.f64 (sin.f64 x) (*.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)))
(/.f64 (tan.f64 x) #s(literal 1 binary64))
(/.f64 (tan.f64 x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -1 binary64))
(pow.f64 (*.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (tan.f64 x))
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (sin.f64 x) (/.f64 #s(literal -1 binary64) (cos.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))
(*.f64 (sin.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))))
(.f64 (sin.f64 x) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(.f64 (sin.f64 x) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (tan.f64 x) #s(literal 1 binary64))
(*.f64 (tan.f64 x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (tan.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 x)))
(.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (sin.f64 x))

simplify706.0ms (8.4%)

Memory

-116.3MiB live, 646.7MiB allocated

Algorithm

1×	egg-herbie

Rules

22 156×	`lower-fma.f64`
22 156×	`lower-fma.f32`
4 792×	`lower-+.f64`
4 792×	`lower-+.f32`
4 316×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	712
1	295	702
2	817	664
3	2623	664
4	4591	664
5	5307	664
6	7419	664
0	8042	628

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 106

Calls

Call 1

Inputs
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(- 1 (pow (sin x) 2))
(- 1 (pow (sin x) 2))
(- 1 (pow (sin x) 2))
(- 1 (pow (sin x) 2))
(- 1 (pow (sin x) 2))
(- 1 (pow (sin x) 2))
(- 1 (pow (sin x) 2))
(- 1 (pow (sin x) 2))
(pow x 2)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(pow x 2)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/6 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -31/360 (pow x 2)) 1/6)) 1)))
(- 1 (/ (pow (sin x) 2) (cos x)))
(- 1 (/ (pow (sin x) 2) (cos x)))
(- 1 (/ (pow (sin x) 2) (cos x)))
(- 1 (/ (pow (sin x) 2) (cos x)))
(- 1 (/ (pow (sin x) 2) (cos x)))
(- 1 (/ (pow (sin x) 2) (cos x)))
(- 1 (/ (pow (sin x) 2) (cos x)))
(- 1 (/ (pow (sin x) 2) (cos x)))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/6 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* 31/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 31/360 (* 173/5040 (pow x 2))))))))
(/ (pow (sin x) 2) (cos x))
(/ (pow (sin x) 2) (cos x))
(/ (pow (sin x) 2) (cos x))
(/ (pow (sin x) 2) (cos x))
(/ (pow (sin x) 2) (cos x))
(/ (pow (sin x) 2) (cos x))
(/ (pow (sin x) 2) (cos x))
(/ (pow (sin x) 2) (cos x))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))

Outputs
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -2/45 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(- 1 (pow (sin x) 2))
(-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(- 1 (pow (sin x) 2))
(-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(- 1 (pow (sin x) 2))
(-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(- 1 (pow (sin x) 2))
(-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(- 1 (pow (sin x) 2))
(-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(- 1 (pow (sin x) 2))
(-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(- 1 (pow (sin x) 2))
(-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(- 1 (pow (sin x) 2))
(-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/315 binary64) #s(literal 2/45 binary64))) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/315 binary64) #s(literal 2/45 binary64))) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* (pow x 2) (- (* -1/6 (pow x 2)) 1)))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -31/360 (pow x 2)) 1/6)) 1)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -31/360 binary64) #s(literal -1/6 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
(- 1 (/ (pow (sin x) 2) (cos x)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))
(- 1 (/ (pow (sin x) 2) (cos x)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))
(- 1 (/ (pow (sin x) 2) (cos x)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))
(- 1 (/ (pow (sin x) 2) (cos x)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))
(- 1 (/ (pow (sin x) 2) (cos x)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))
(- 1 (/ (pow (sin x) 2) (cos x)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))
(- 1 (/ (pow (sin x) 2) (cos x)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))
(- 1 (/ (pow (sin x) 2) (cos x)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/6 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* 31/360 (pow x 2))))))
(.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 31/360 (* 173/5040 (pow x 2))))))))
(.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 173/5040 binary64) #s(literal 31/360 binary64))) #s(literal 1/6 binary64))) x))
(/ (pow (sin x) 2) (cos x))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))
(/ (pow (sin x) 2) (cos x))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))
(/ (pow (sin x) 2) (cos x))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))
(/ (pow (sin x) 2) (cos x))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))
(/ (pow (sin x) 2) (cos x))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))
(/ (pow (sin x) 2) (cos x))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))
(/ (pow (sin x) 2) (cos x))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))
(/ (pow (sin x) 2) (cos x))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 17/315 binary64)) #s(literal 2/15 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x)
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))

simplify74.0ms (0.9%)

Memory

-19.9MiB live, 135.2MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	863	8450
1	864	8450
0	864	8450

Stop Event

1×	saturated
1×	saturated

Counts

548 → 0

Calls

Call 1

Inputs
(+.f64 (neg.f64 (*.f64 x x)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x)))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 x x))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 x x))
(fma.f64 x (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) x #s(literal 0 binary64))
(fma.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 0 binary64))
(neg.f64 (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (.f64 x x))) (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))
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(.f64 (.f64 (sin.f64 x) (tan.f64 x)) #s(literal 1 binary64))
(.f64 (.f64 (sin.f64 x) (tan.f64 x)) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (sin.f64 x) (tan.f64 x)))
(.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (tan.f64 x))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) (tan.f64 x))) (pow.f64 (*.f64 (sin.f64 x) (tan.f64 x)) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))
(.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) (tan.f64 x)))
(*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal 3/2 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))
(.f64 (.f64 (tan.f64 x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (tan.f64 x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (tan.f64 x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 x))) (tan.f64 x))
(tan.f64 x)
(neg.f64 (tan.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (neg.f64 (cos.f64 x)))
(/.f64 (sin.f64 x) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))
(/.f64 (sin.f64 x) (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))
(/.f64 (sin.f64 x) (neg.f64 (neg.f64 (cos.f64 x))))
(/.f64 (sin.f64 x) (*.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)))
(/.f64 (tan.f64 x) #s(literal 1 binary64))
(/.f64 (tan.f64 x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -1 binary64))
(pow.f64 (*.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (tan.f64 x))
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (sin.f64 x) (/.f64 #s(literal -1 binary64) (cos.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))
(*.f64 (sin.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))))
(.f64 (sin.f64 x) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(.f64 (sin.f64 x) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (tan.f64 x) #s(literal 1 binary64))
(*.f64 (tan.f64 x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (tan.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 x)))
(.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (sin.f64 x))

Outputs
(+.f64 (neg.f64 (*.f64 x x)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x)))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 x x))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 x x))
(fma.f64 x (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) x #s(literal 0 binary64))
(fma.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 0 binary64))
(neg.f64 (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (.f64 x x))) (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (neg.f64 (.f64 x (.f64 x (.f64 x x))))))
(/.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x))))
(/.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (.f64 x x))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (neg.f64 (.f64 x (.f64 x (.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x))))) (neg.f64 (.f64 x x)))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 (neg.f64 (.f64 x x)) (neg.f64 (.f64 x x))) (neg.f64 (.f64 x x)))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (neg.f64 (.f64 x x)) (neg.f64 (.f64 x x))) (.f64 #s(literal 0 binary64) (neg.f64 (.f64 x x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 (.f64 x x)) (neg.f64 (.f64 x x)))) (-.f64 #s(literal 0 binary64) (neg.f64 (.f64 x x))))
(pow.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 x x) (neg.f64 (.f64 x (.f64 x (.f64 x x))))) #s(literal -1 binary64))
(*.f64 x (neg.f64 x))
(.f64 (.f64 x x) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 x x))
(*.f64 (neg.f64 x) x)
(.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(+.f64 (*.f64 x x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x x))
(exp.f64 (log.f64 (*.f64 x x)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1 binary64) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(fma.f64 x x #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(literal 0 binary64))
(/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
(/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x))
(/.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (neg.f64 (.f64 x x)))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 0 binary64))))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))
(-.f64 #s(literal 0 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(-.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))
(fma.f64 (sin.f64 x) (sin.f64 x) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 (pow.f64 (sin.f64 x) #s(literal -4 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))) (pow.f64 (sin.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))
(fma.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 3/2 binary64)) (sqrt.f64 (sin.f64 x)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 (sin.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 (sin.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal 2 binary64)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))
(fma.f64 (/.f64 (sqrt.f64 (sin.f64 x)) #s(literal 1 binary64)) (pow.f64 (sin.f64 x) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))
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(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (sin.f64 x) (tan.f64 x)) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (sin.f64 x) (.f64 (tan.f64 x) (fma.f64 (sin.f64 x) (tan.f64 x) #s(literal 1 binary64)))) #s(literal 2 binary64)))) (fma.f64 (sin.f64 x) (*.f64 (tan.f64 x) (fma.f64 (sin.f64 x) (tan.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 x) (tan.f64 x)))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 (sin.f64 x) (tan.f64 x)))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 x) (tan.f64 x))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 x) (tan.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) (tan.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 x))) (*.f64 (sin.f64 x) (tan.f64 x)))
(-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (cos.f64 x)))
(neg.f64 (*.f64 (sin.f64 x) (tan.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (tan.f64 x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (tan.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))
(/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) (tan.f64 x)))))
(/.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))))
(/.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 (sin.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (cos.f64 x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (neg.f64 (cos.f64 x)))
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (neg.f64 (neg.f64 (cos.f64 x))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 x))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)))
(/.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) #s(literal 1 binary64))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (tan.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (tan.f64 x)))))
(/.f64 #s(literal -1 binary64) (.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))))
(/.f64 #s(literal -1 binary64) (.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))))
(/.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 x)) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 x)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (.f64 (sin.f64 x) (tan.f64 x))))))
(/.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 x)) #s(literal 2 binary64)) (.f64 (sin.f64 x) (tan.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (*.f64 (cos.f64 x) #s(literal 2 binary64)))
(pow.f64 (*.f64 (sin.f64 x) (tan.f64 x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (tan.f64 x))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (tan.f64 x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (cos.f64 x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (neg.f64 (cos.f64 x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal -1 binary64))
(pow.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) (tan.f64 x)))) #s(literal -1 binary64))
(pow.f64 (.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))) #s(literal -1 binary64))
(pow.f64 (.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) (tan.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 x))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 #s(literal -1 binary64) (cos.f64 x)))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))
(*.f64 (tan.f64 x) (sin.f64 x))
(.f64 (.f64 (sin.f64 x) (tan.f64 x)) #s(literal 1 binary64))
(.f64 (.f64 (sin.f64 x) (tan.f64 x)) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (sin.f64 x) (tan.f64 x)))
(.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (tan.f64 x))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) (tan.f64 x))) (pow.f64 (*.f64 (sin.f64 x) (tan.f64 x)) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))
(.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) (tan.f64 x)))
(*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal 3/2 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))
(.f64 (.f64 (tan.f64 x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (tan.f64 x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (tan.f64 x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 x))) (tan.f64 x))
(tan.f64 x)
(neg.f64 (tan.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (neg.f64 (cos.f64 x)))
(/.f64 (sin.f64 x) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))
(/.f64 (sin.f64 x) (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))
(/.f64 (sin.f64 x) (neg.f64 (neg.f64 (cos.f64 x))))
(/.f64 (sin.f64 x) (*.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)))
(/.f64 (tan.f64 x) #s(literal 1 binary64))
(/.f64 (tan.f64 x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -1 binary64))
(pow.f64 (*.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (tan.f64 x))
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (sin.f64 x) (/.f64 #s(literal -1 binary64) (cos.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))
(*.f64 (sin.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))))
(.f64 (sin.f64 x) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(.f64 (sin.f64 x) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (tan.f64 x) #s(literal 1 binary64))
(*.f64 (tan.f64 x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (tan.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 x)))
(.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (sin.f64 x))

eval26.0ms (0.3%)

Memory: 17.9MiB live, 57.4MiB allocated
Compiler: Compiled 2 287 to 149 computations (93.5% saved)

prune14.0ms (0.2%)

Memory

-4.2MiB live, 34.1MiB allocated

Pruning

16 alts after pruning (3 fresh and 13 done)

	Pruned	Kept	Total
New	231	3	234
Fresh	0	0	0
Picked	1	2	3
Done	0	11	11
Total	232	16	248

Accuracy

99.7%

Counts

248 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.6%	(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
✓	99.4%	(/.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 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
✓	99.3%	(/.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 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	61.3%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) #s(literal 1 binary64))
✓	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.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)))))
✓	62.9%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))) #s(literal 1 binary64))
	61.3%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 x) #s(literal 1 binary64)) (/.f64 (sin.f64 x) (cos.f64 x)))) #s(literal 1 binary64))
✓	61.3%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 x) #s(literal 1 binary64)) (tan.f64 x))) #s(literal 1 binary64))
✓	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.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)))))
✓	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
✓	62.9%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(literal 1 binary64))
	59.9%	(-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
✓	62.9%	(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
✓	54.5%	(-.f64 #s(literal 1 binary64) (*.f64 x x))
✓	2.6%	(neg.f64 (*.f64 x x))
✓	59.5%	#s(literal 1 binary64)

Compiler

Compiled 401 to 171 computations (57.4% saved)

regimes23.0ms (0.3%)

Memory

-1.1MiB live, 38.1MiB allocated

Counts

17 → 1

Calls

Call 1

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

Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))

Calls

4 calls:

6.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
6.0ms	(tan.f64 x)
5.0ms	x
5.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))`
99.5%	1	`(*.f64 (tan.f64 x) (tan.f64 x))`
99.5%	1	`(tan.f64 x)`

Compiler

Compiled 27 to 13 computations (51.9% saved)

regimes20.0ms (0.2%)

Memory

-12.3MiB live, 26.8MiB allocated

Counts

12 → 1

Calls

Call 1

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

Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(literal 1 binary64))

Calls

4 calls:

8.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
4.0ms	(tan.f64 x)
4.0ms	x
4.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Results

Accuracy	Segments	Branch
62.9%	1	`x`
62.9%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))`
62.9%	1	`(*.f64 (tan.f64 x) (tan.f64 x))`
62.9%	1	`(tan.f64 x)`

Compiler

Compiled 27 to 13 computations (51.9% saved)

regimes11.0ms (0.1%)

Memory

17.7MiB live, 17.7MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(neg.f64 (*.f64 x x))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))

Outputs
(-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))

Calls

4 calls:

3.0ms	(tan.f64 x)
3.0ms	x
2.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
2.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Results

Accuracy	Segments	Branch
59.9%	1	`x`
59.9%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))`
59.9%	1	`(*.f64 (tan.f64 x) (tan.f64 x))`
59.9%	1	`(tan.f64 x)`

Compiler

Compiled 27 to 13 computations (51.9% saved)

regimes29.0ms (0.3%)

Memory

-31.3MiB live, 17.1MiB allocated

Accuracy

Total -36.8b remaining (-142%)

Threshold costs -36.8b (-142%)

Counts

4 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(neg.f64 (*.f64 x x))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))

Outputs
#s(literal 1 binary64)

Calls

4 calls:

23.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
2.0ms	(tan.f64 x)
2.0ms	x
2.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Results

Accuracy	Segments	Branch
59.5%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))`
59.5%	1	`(*.f64 (tan.f64 x) (tan.f64 x))`
59.5%	1	`x`
59.5%	1	`(tan.f64 x)`

Compiler

Compiled 27 to 13 computations (51.9% saved)

simplify6.0ms (0.1%)

Memory

14.0MiB live, 14.0MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`+-commutative_binary64`
10×	`sub-neg_binary64`
6×	`*-commutative_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	23	29
2	33	29
3	39	29
4	42	29

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
(-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
#s(literal 1 binary64)

soundness745.0ms (8.8%)

Memory

1.8MiB live, 552.3MiB allocated

Rules

22 156×	`lower-fma.f64`
22 156×	`lower-fma.f32`
22 066×	`lower-fma.f64`
22 066×	`lower-fma.f32`
21 780×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	712
1	295	702
2	817	664
3	2623	664
4	4591	664
5	5307	664
6	7419	664
0	8042	628
0	61	603
1	151	602
2	410	588
3	1152	588
4	2137	588
5	3918	588
6	5293	588
0	8024	567
0	109	1083
1	290	1080
2	796	1044
3	2564	1044
4	4565	1044
5	5648	1044
0	8254	996
0	109	1030
1	286	1018
2	797	976
3	2582	976
4	4511	976
5	5485	976
0	8095	931

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 80 to 47 computations (41.3% saved)

preprocess59.0ms (0.7%)

Memory: 24.9MiB live, 107.3MiB allocated
Remove: (abs x)
Compiler: Compiled 188 to 78 computations (58.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze125.0ms (1.5%)

sample832.0ms (9.9%)

preprocess445.0ms (5.3%)

explain105.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify351.0ms (4.2%)

localize29.0ms (0.3%)

series6.0ms (0.1%)

rewrite237.0ms (2.8%)

simplify361.0ms (4.3%)

simplify100.0ms (1.2%)

eval13.0ms (0.2%)

prune7.0ms (0.1%)

simplify288.0ms (3.4%)

localize93.0ms (1.1%)

series8.0ms (0.1%)

rewrite324.0ms (3.8%)

simplify589.0ms (7%)

simplify75.0ms (0.9%)

eval54.0ms (0.6%)

prune16.0ms (0.2%)

simplify251.0ms (3%)

localize119.0ms (1.4%)

series4.0ms (0%)

rewrite242.0ms (2.9%)

simplify748.0ms (8.9%)

simplify396.0ms (4.7%)

eval76.0ms (0.9%)

prune53.0ms (0.6%)

simplify465.0ms (5.5%)

localize76.0ms (0.9%)

series2.0ms (0%)

rewrite233.0ms (2.8%)

simplify706.0ms (8.4%)

simplify74.0ms (0.9%)

eval26.0ms (0.3%)

prune14.0ms (0.2%)

regimes23.0ms (0.3%)

regimes20.0ms (0.2%)

regimes11.0ms (0.1%)

regimes29.0ms (0.3%)

simplify6.0ms (0.1%)

soundness745.0ms (8.8%)

preprocess59.0ms (0.7%)

end0.0ms (0%)

Profiling