Metrics for cos2 (problem 3.4.1)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze2.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

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
50%	50%	50%	0%	0%	0%	0%	2
75%	75%	25%	0%	0%	0%	0%	3
87.5%	87.5%	12.5%	0%	0%	0%	0%	4
93.8%	93.7%	6.2%	0%	0%	0%	0%	5
96.9%	96.8%	3.1%	0%	0%	0%	0%	6
98.4%	98.4%	1.6%	0%	0%	0%	0%	7
99.2%	99.2%	0.8%	0%	0%	0%	0%	8
99.6%	99.6%	0.4%	0%	0%	0%	0%	9
99.8%	99.8%	0.2%	0%	0%	0%	0%	10
99.9%	99.9%	0.1%	0%	0%	0%	0%	11
100%	99.9%	0%	0%	0%	0%	0%	12

Compiler

Compiled 10 to 8 computations (20% saved)

sample1.8s (51.1%)

Memory

-26.6MiB live, 1 281.0MiB allocated; 243ms collecting garbage

Samples

741.0ms	2 252×	2	valid
335.0ms	4 170×	0	valid
255.0ms	637×	3	valid
130.0ms	1 197×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-cos: 782.0ms (64.8% of total)

adjust: 158.0ms (13.1% of total)

ival-div: 99.0ms (8.2% of total)

ival-sub: 92.0ms (7.6% of total)

ival-mult: 57.0ms (4.7% of total)

exact: 16.0ms (1.3% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain169.0ms (4.8%)

Memory

20.0MiB live, 160.7MiB allocated; 7ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
81	2	(-8.45995637388421e+196)	1	(1.039297716079592e+49)	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
56	0	-	1	(7.048103364133687e-161)	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(cos.f64 x)`
0	0	-	0	-	`(*.f64 x x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	cancellation	82	3
`/.f64`	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`	u/u	54	0
↳	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	underflow	54
↳	`(*.f64 x x)`	underflow	54
`/.f64`	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`	n/o	1	0
↳	`(*.f64 x x)`	overflow	67

Confusion

	Predicted +	Predicted -
+	133	0
-	4	119

Precision

0.9708029197080292

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	133	0	0
-	4	3	116

Precision?

0.95

Recall?

1.0

Freqs

test

number	freq
0	119
1	137

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

41.0ms	150×	2	valid
22.0ms	258×	0	valid
15.0ms	28×	3	valid
9.0ms	76×	1	valid

Compiler

Compiled 50 to 22 computations (56% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-cos: 43.0ms (63.3% of total)

adjust: 9.0ms (13.2% of total)

ival-div: 6.0ms (8.8% of total)

ival-sub: 5.0ms (7.4% of total)

ival-mult: 4.0ms (5.9% of total)

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

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

exact: 0.0ms (0% of total)

preprocess168.0ms (4.8%)

Memory

5.3MiB live, 196.6MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	46	25
2	112	25
3	187	25
4	405	24
5	1957	24
0	6	8
0	10	8
1	27	8
2	65	8
3	129	8
4	298	8
5	1569	8
0	8370	8

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs x)

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.9%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Compiler

Compiled 8 to 6 computations (25% saved)

series23.0ms (0.6%)

Memory

-25.8MiB live, 26.0MiB allocated; 4ms collecting garbage

Counts

6 → 17

Calls

Call 1

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

Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) x (* x x))
1.0ms	x	@	inf	((/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) x (* x x))
1.0ms	x	@	0	((/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) x (* x x))

rewrite89.0ms (2.5%)

Memory

-10.4MiB live, 84.0MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	264
0	70	264
1	312	264
0	2707	252

Stop Event

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

Counts

23 → 67

Calls

Call 1

Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(*.f64 x x)
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))

Outputs
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x)) (neg.f64 x))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (.f64 (/.f64 (/.f64 (cos.f64 x) x) x) (/.f64 (/.f64 (cos.f64 x) x) x))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x)))
(/.f64 (-.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)) (fma.f64 (/.f64 (/.f64 (cos.f64 x) x) x) (/.f64 (/.f64 (cos.f64 x) x) x) (*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x)))))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (*.f64 x x))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 x x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 x x)))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (neg.f64 x) x)))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 x)) #s(literal 2 binary64))
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
x
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx x x)
#s(approx (* x x) (*.f64 x x))
#s(approx (/ (- 1 (cos x)) (* x x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))

eval6.0ms (0.2%)

Memory: 11.2MiB live, 11.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 991 to 230 computations (76.8% saved)

prune19.0ms (0.5%)

Memory

-19.3MiB live, 28.4MiB allocated; 1ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	64	7	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	7	72

Accuracy

99.9%

Counts

72 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.0%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 x x))
	51.8%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x)) (neg.f64 x))
▶	78.0%	(/.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (.f64 x x))
	14.3%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (*.f64 x x)))
	51.0%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 x x)))
	51.3%	(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
	51.1%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))

Compiler

Compiled 236 to 142 computations (39.8% saved)

series6.0ms (0.2%)

Memory

8.8MiB live, 8.8MiB allocated; 0ms collecting garbage

Counts

9 → 32

Calls

Call 1

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

Outputs
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ (* (sin x) (sin x)) (+ (cos x) 1)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (/ (* (sin x) (sin x)) (+ (cos x) 1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (* (sin x) (sin x)) (+ (cos x) 1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (* (sin x) (sin x)) (+ (cos x) 1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* (sin x) (sin x)) #s(hole binary64 (pow x 2)))
#s(approx (* (sin x) (sin x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (* (sin x) (sin x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (* (sin x) (sin x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (cos x) 1) #s(hole binary64 2))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) #s(hole binary64 (/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (/ (* (sin x) (sin x)) (+ (cos x) 1)) #s(hole binary64 (/ (pow (sin x) 2) (+ 1 (cos x)))))
#s(approx (* (sin x) (sin x)) #s(hole binary64 (pow (sin x) 2)))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* (sin x) (sin x)) (sin x) x (+ (cos x) 1) (cos x) 1 (* x x))
2.0ms	x	@	-inf	((/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* (sin x) (sin x)) (sin x) x (+ (cos x) 1) (cos x) 1 (* x x))
1.0ms	x	@	0	((/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* (sin x) (sin x)) (sin x) x (+ (cos x) 1) (cos x) 1 (* x x))

Time

Variable

Point

Expression

2.0ms

inf

((/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* (sin x) (sin x)) (sin x) x (+ (cos x) 1) (cos x) 1 (* x x))

2.0ms

-inf

((/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* (sin x) (sin x)) (sin x) x (+ (cos x) 1) (cos x) 1 (* x x))

1.0ms

((/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* (sin x) (sin x)) (sin x) x (+ (cos x) 1) (cos x) 1 (* x x))

rewrite220.0ms (6.2%)

Memory

39.7MiB live, 181.7MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	131	577
0	142	559
1	689	489
0	6005	465

Stop Event

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

Counts

41 → 174

Calls

Call 1

Inputs
(/.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (.f64 x x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (sin.f64 x))
(sin.f64 x)
x
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(cos.f64 x)
#s(literal 1 binary64)
(*.f64 x x)
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ (* (sin x) (sin x)) (+ (cos x) 1)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (/ (* (sin x) (sin x)) (+ (cos x) 1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (* (sin x) (sin x)) (+ (cos x) 1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (* (sin x) (sin x)) (+ (cos x) 1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* (sin x) (sin x)) #s(hole binary64 (pow x 2)))
#s(approx (* (sin x) (sin x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (* (sin x) (sin x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (* (sin x) (sin x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (cos x) 1) #s(hole binary64 2))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) #s(hole binary64 (/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (/ (* (sin x) (sin x)) (+ (cos x) 1)) #s(hole binary64 (/ (pow (sin x) 2) (+ 1 (cos x)))))
#s(approx (* (sin x) (sin x)) #s(hole binary64 (pow (sin x) 2)))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))

Outputs
(*.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) x) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) x) (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) x) (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (neg.f64 (sin.f64 x)) (.f64 x x)) (/.f64 (neg.f64 (sin.f64 x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(.f64 (/.f64 (neg.f64 (sin.f64 x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (neg.f64 (sin.f64 x)) (.f64 x x)))
(.f64 (/.f64 (fabs.f64 (sin.f64 x)) (.f64 x x)) (/.f64 (fabs.f64 (sin.f64 x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(.f64 (/.f64 (fabs.f64 (sin.f64 x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (fabs.f64 (sin.f64 x)) (.f64 x x)))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (sin.f64 x) (fabs.f64 x)) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (fabs.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 x)))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x))
(.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (.f64 x x)))
(.f64 (neg.f64 (sin.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))
(.f64 (fabs.f64 (sin.f64 x)) (/.f64 (fabs.f64 (sin.f64 x)) (.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (.f64 x x)))
(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x)) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) x)) (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (neg.f64 x))
(/.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (.f64 (.f64 (neg.f64 x) x) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (.f64 #s(literal 2 binary64) x))) (.f64 #s(literal 2 binary64) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (.f64 (.f64 (neg.f64 x) x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))
(neg.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (neg.f64 x) x)))
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 x) x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(*.f64 (fabs.f64 (sin.f64 x)) (/.f64 (fabs.f64 (sin.f64 x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (.f64 #s(literal 2 binary64) x))) (.f64 #s(literal 2 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 (sin.f64 x))))
(*.f64 (neg.f64 (fabs.f64 (sin.f64 x))) (neg.f64 (fabs.f64 (sin.f64 x))))
(*.f64 (fabs.f64 (fabs.f64 (sin.f64 x))) (fabs.f64 (fabs.f64 (sin.f64 x))))
(*.f64 (exp.f64 (log.f64 (sin.f64 x))) (exp.f64 (log.f64 (sin.f64 x))))
(*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)))
(*.f64 (fabs.f64 (sin.f64 x)) (fabs.f64 (sin.f64 x)))
(*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (sin.f64 x) (sin.f64 x))
(pow.f64 (exp.f64 (log.f64 (sin.f64 x))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (sin.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (sin.f64 x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) (.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal -2 binary64))
(/.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(neg.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(-.f64 (/.f64 (cos.f64 #s(literal 0 binary64)) #s(literal 2 binary64)) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
(-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(fabs.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (sin.f64 x)) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (sin.f64 x)) #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 x) #s(literal 1/2 binary64)))
(pow.f64 (sin.f64 x) #s(literal 1 binary64))
(sin.f64 x)
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64)))
x
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(fma.f64 (cos.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(-.f64 (cos.f64 x) #s(literal -1 binary64))
(+.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 x)) #s(literal 2 binary64))
(/.f64 (*.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(literal 1 binary64)
(.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sin x)) (+ (cos x) 1)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sin x)) (+ (cos x) 1)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x))
#s(approx (/ (* (sin x) (sin x)) (+ (cos x) 1)) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
#s(approx (/ (* (sin x) (sin x)) (+ (cos x) 1)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x)))
#s(approx (* (sin x) (sin x)) (*.f64 x x))
#s(approx (* (sin x) (sin x)) (.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (* (sin x) (sin x)) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (* (sin x) (sin x)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/315 binary64) (.f64 x x) #s(literal 2/45 binary64)) x) x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (sin x) x)
#s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (fma.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x))
#s(approx x x)
#s(approx (+ (cos x) 1) #s(literal 2 binary64))
#s(approx (+ (cos x) 1) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (cos x) 1) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (cos x) 1) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 2 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
#s(approx (/ (* (sin x) (sin x)) (+ (cos x) 1)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (* (sin x) (sin x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
#s(approx (sin x) (sin.f64 x))
#s(approx (+ (cos x) 1) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
#s(approx (cos x) (cos.f64 x))

eval18.0ms (0.5%)

Memory: -15.8MiB live, 31.4MiB allocated; 1ms collecting garbage
Compiler: Compiled 3 521 to 656 computations (81.4% saved)

prune198.0ms (5.6%)

Memory

-21.1MiB live, 173.2MiB allocated; 16ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	185	6	191
Fresh	5	1	6
Picked	1	0	1
Done	0	0	0
Total	191	7	198

Accuracy

100.0%

Counts

198 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	78.0%	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))
	77.9%	(/.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))) (.f64 x x))
	53.4%	(/.f64 (/.f64 (.f64 (sin.f64 x) (exp.f64 (.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64)))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x))
	78.3%	(/.f64 (.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (.f64 x x))
	51.3%	(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
	78.6%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
▶	99.8%	(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 x)))

Compiler

Compiled 224 to 138 computations (38.4% saved)

series8.0ms (0.2%)

Memory

7.1MiB live, 7.1MiB allocated; 0ms collecting garbage

Counts

9 → 28

Calls

Call 1

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

Outputs
#s(approx (* (/ (sin x) (neg x)) (/ (tan (/ x 2)) (neg x))) #s(hole binary64 1/2))
#s(approx (* (/ (sin x) (neg x)) (/ (tan (/ x 2)) (neg x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (* (/ (sin x) (neg x)) (/ (tan (/ x 2)) (neg x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (* (/ (sin x) (neg x)) (/ (tan (/ x 2)) (neg x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ (sin x) (neg x)) #s(hole binary64 -1))
#s(approx (/ (sin x) (neg x)) #s(hole binary64 (- (* 1/6 (pow x 2)) 1)))
#s(approx (/ (sin x) (neg x)) #s(hole binary64 (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1)))
#s(approx (/ (sin x) (neg x)) #s(hole binary64 (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1)))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (/ (tan (/ x 2)) (neg x)) #s(hole binary64 -1/2))
#s(approx (/ (tan (/ x 2)) (neg x)) #s(hole binary64 (- (* -1/24 (pow x 2)) 1/2)))
#s(approx (/ (tan (/ x 2)) (neg x)) #s(hole binary64 (- (* (pow x 2) (- (* -1/240 (pow x 2)) 1/24)) 1/2)))
#s(approx (/ (tan (/ x 2)) (neg x)) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -17/40320 (pow x 2)) 1/240)) 1/24)) 1/2)))
#s(approx (tan (/ x 2)) #s(hole binary64 (* 1/2 x)))
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2))))))
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))))
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))))
#s(approx (/ x 2) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ (sin x) (neg x)) (/ (tan (/ x 2)) (neg x))) #s(hole binary64 (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))))
#s(approx (/ (sin x) (neg x)) #s(hole binary64 (* -1 (/ (sin x) x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (/ (tan (/ x 2)) (neg x)) #s(hole binary64 (* -1 (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))))))
#s(approx (tan (/ x 2)) #s(hole binary64 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))))

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	((* (/ (sin x) (neg x)) (/ (tan (/ x 2)) (neg x))) (/ (sin x) (neg x)) (sin x) x (neg x) (/ (tan (/ x 2)) (neg x)) (tan (/ x 2)) (/ x 2) 2)
3.0ms	x	@	-inf	((* (/ (sin x) (neg x)) (/ (tan (/ x 2)) (neg x))) (/ (sin x) (neg x)) (sin x) x (neg x) (/ (tan (/ x 2)) (neg x)) (tan (/ x 2)) (/ x 2) 2)
1.0ms	x	@	0	((* (/ (sin x) (neg x)) (/ (tan (/ x 2)) (neg x))) (/ (sin x) (neg x)) (sin x) x (neg x) (/ (tan (/ x 2)) (neg x)) (tan (/ x 2)) (/ x 2) 2)

Time

Variable

Point

Expression

4.0ms

inf

((* (/ (sin x) (neg x)) (/ (tan (/ x 2)) (neg x))) (/ (sin x) (neg x)) (sin x) x (neg x) (/ (tan (/ x 2)) (neg x)) (tan (/ x 2)) (/ x 2) 2)

3.0ms

-inf

((* (/ (sin x) (neg x)) (/ (tan (/ x 2)) (neg x))) (/ (sin x) (neg x)) (sin x) x (neg x) (/ (tan (/ x 2)) (neg x)) (tan (/ x 2)) (/ x 2) 2)

1.0ms

((* (/ (sin x) (neg x)) (/ (tan (/ x 2)) (neg x))) (/ (sin x) (neg x)) (sin x) x (neg x) (/ (tan (/ x 2)) (neg x)) (tan (/ x 2)) (/ x 2) 2)

rewrite159.0ms (4.5%)

Memory

9.7MiB live, 143.9MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	141	494
0	152	481
1	711	457
0	5914	438

Stop Event

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

Counts

37 → 135

Calls

Call 1

Inputs
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 x)))
(/.f64 (sin.f64 x) (neg.f64 x))
(sin.f64 x)
x
(neg.f64 x)
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (* (/ (sin x) (neg x)) (/ (tan (/ x 2)) (neg x))) #s(hole binary64 1/2))
#s(approx (* (/ (sin x) (neg x)) (/ (tan (/ x 2)) (neg x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (* (/ (sin x) (neg x)) (/ (tan (/ x 2)) (neg x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (* (/ (sin x) (neg x)) (/ (tan (/ x 2)) (neg x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ (sin x) (neg x)) #s(hole binary64 -1))
#s(approx (/ (sin x) (neg x)) #s(hole binary64 (- (* 1/6 (pow x 2)) 1)))
#s(approx (/ (sin x) (neg x)) #s(hole binary64 (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1)))
#s(approx (/ (sin x) (neg x)) #s(hole binary64 (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1)))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (/ (tan (/ x 2)) (neg x)) #s(hole binary64 -1/2))
#s(approx (/ (tan (/ x 2)) (neg x)) #s(hole binary64 (- (* -1/24 (pow x 2)) 1/2)))
#s(approx (/ (tan (/ x 2)) (neg x)) #s(hole binary64 (- (* (pow x 2) (- (* -1/240 (pow x 2)) 1/24)) 1/2)))
#s(approx (/ (tan (/ x 2)) (neg x)) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -17/40320 (pow x 2)) 1/240)) 1/24)) 1/2)))
#s(approx (tan (/ x 2)) #s(hole binary64 (* 1/2 x)))
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2))))))
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))))
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))))
#s(approx (/ x 2) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ (sin x) (neg x)) (/ (tan (/ x 2)) (neg x))) #s(hole binary64 (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))))
#s(approx (/ (sin x) (neg x)) #s(hole binary64 (* -1 (/ (sin x) x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (/ (tan (/ x 2)) (neg x)) #s(hole binary64 (* -1 (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))))))
#s(approx (tan (/ x 2)) #s(hole binary64 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))))

Outputs
(.f64 (.f64 (/.f64 (tan.f64 (*.f64 #s(literal -1/2 binary64) x)) x) #s(literal -1 binary64)) (/.f64 (sin.f64 x) x))
(.f64 (.f64 (/.f64 (tan.f64 (*.f64 #s(literal -1/2 binary64) x)) x) (/.f64 (sin.f64 x) x)) #s(literal -1 binary64))
(.f64 (/.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 (/.f64 (tan.f64 (.f64 #s(literal -1/2 binary64) x)) x) x))
(.f64 (/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) x) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 x x)) (/.f64 (sin.f64 x) (cos.f64 (.f64 #s(literal -1/2 binary64) x))))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 #s(literal -1/2 binary64) x))) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 x x)))
(.f64 (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)) (sin.f64 x))
(.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))
(.f64 (/.f64 (sin.f64 x) x) (.f64 #s(literal -1 binary64) (/.f64 (tan.f64 (*.f64 #s(literal -1/2 binary64) x)) x)))
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (/.f64 (tan.f64 (.f64 #s(literal -1/2 binary64) x)) x) #s(literal -1 binary64)))
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) x)) (*.f64 x x))))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 #s(literal -1/2 binary64) x)) x)))
(.f64 (/.f64 (tan.f64 (.f64 #s(literal -1/2 binary64) x)) x) (/.f64 (sin.f64 x) (neg.f64 x)))
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 (/.f64 (sin.f64 x) x) x))
(.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (tan.f64 (.f64 #s(literal -1/2 binary64) x)) x))
(.f64 (sin.f64 x) (/.f64 (/.f64 (tan.f64 (.f64 #s(literal -1/2 binary64) x)) x) (neg.f64 x)))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)))
(/.f64 (/.f64 (.f64 (/.f64 (tan.f64 (.f64 #s(literal -1/2 binary64) x)) x) (sin.f64 x)) #s(literal -1 binary64)) x)
(/.f64 (.f64 (tan.f64 (.f64 #s(literal -1/2 binary64) x)) (/.f64 (sin.f64 x) (neg.f64 x))) x)
(/.f64 (.f64 (neg.f64 (sin.f64 x)) (/.f64 (tan.f64 (.f64 #s(literal -1/2 binary64) x)) x)) x)
(/.f64 (.f64 (/.f64 (tan.f64 (.f64 #s(literal -1/2 binary64) x)) x) (neg.f64 (sin.f64 x))) x)
(/.f64 (.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (tan.f64 (.f64 #s(literal -1/2 binary64) x))) x)
(/.f64 (.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (sin.f64 (.f64 #s(literal -1/2 binary64) x))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) x (PI.f64))))
(/.f64 (.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal -1/2 binary64) x)))
(/.f64 (/.f64 (.f64 (/.f64 (tan.f64 (.f64 #s(literal -1/2 binary64) x)) x) (sin.f64 x)) x) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (/.f64 (tan.f64 (.f64 #s(literal -1/2 binary64) x)) x) (sin.f64 x))) x)
(/.f64 (neg.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 (/.f64 (sin.f64 x) x) x))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) x (PI.f64))))
(/.f64 (neg.f64 (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (sin.f64 x))) (neg.f64 (.f64 (.f64 (neg.f64 x) x) (cos.f64 (*.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (.f64 (tan.f64 (.f64 #s(literal -1/2 binary64) x)) (neg.f64 (sin.f64 x))) (*.f64 x x))
(/.f64 (.f64 (tan.f64 (.f64 #s(literal -1/2 binary64) x)) (sin.f64 x)) (*.f64 (neg.f64 x) x))
(/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (.f64 (neg.f64 (sin.f64 x)) (tan.f64 (.f64 #s(literal -1/2 binary64) x))) (*.f64 x x))
(/.f64 (.f64 (neg.f64 (sin.f64 x)) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (*.f64 (neg.f64 x) x))
(/.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 #s(literal -1/2 binary64) x))) (*.f64 (neg.f64 x) x))
(/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 (/.f64 (sin.f64 x) x) x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x)))
(/.f64 (.f64 (/.f64 (tan.f64 (.f64 #s(literal -1/2 binary64) x)) x) (sin.f64 x)) (neg.f64 x))
(/.f64 (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (sin.f64 x)) (.f64 (.f64 (neg.f64 x) x) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))))
(/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x))
(/.f64 (-.f64 (cos.f64 (-.f64 x (.f64 #s(literal 1/2 binary64) x))) (cos.f64 (.f64 #s(literal 3/2 binary64) x))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) x)) (.f64 x x))))
(/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) x)) (*.f64 x x)))
(neg.f64 (/.f64 (.f64 (/.f64 (tan.f64 (.f64 #s(literal -1/2 binary64) x)) x) (sin.f64 x)) x))
(neg.f64 (/.f64 (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (sin.f64 x)) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) x)) (*.f64 x x))))
(neg.f64 (/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (.f64 (.f64 (neg.f64 x) x) (cos.f64 (*.f64 #s(literal -1/2 binary64) x)))))
(neg.f64 (.f64 (/.f64 (tan.f64 (.f64 #s(literal -1/2 binary64) x)) x) (/.f64 (sin.f64 x) x)))
(neg.f64 (.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x)))
(neg.f64 (.f64 (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x) (/.f64 (sin.f64 x) (neg.f64 x))))
(neg.f64 (.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 #s(literal -1/2 binary64) x)) x)))
(*.f64 (/.f64 (sin.f64 x) x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x))) (neg.f64 x))
(/.f64 (/.f64 (sin.f64 x) #s(literal -1 binary64)) x)
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 x))
(/.f64 (neg.f64 (sin.f64 x)) x)
(/.f64 (/.f64 (sin.f64 x) x) #s(literal -1 binary64))
(/.f64 (sin.f64 x) (neg.f64 x))
(neg.f64 (/.f64 (sin.f64 x) x))
(sin.f64 x)
x
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
(.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) x))) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) x))
(.f64 (/.f64 #s(literal -1 binary64) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))
(.f64 (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x))
(/.f64 (/.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) x) (cos.f64 (.f64 #s(literal -1/2 binary64) x)))
(/.f64 (.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) x) #s(literal -1 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x)))
(/.f64 (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) #s(literal -1 binary64)) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) x)) (neg.f64 x)))
(/.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x)))
(/.f64 (.f64 #s(literal -1 binary64) (sin.f64 (.f64 #s(literal -1/2 binary64) x))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) x)) (neg.f64 x)))
(/.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) x)
(/.f64 (neg.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) x)) (cos.f64 (.f64 #s(literal -1/2 binary64) x)))
(/.f64 (neg.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x))) (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) x)) (neg.f64 x)))
(/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) x) (cos.f64 (fma.f64 #s(literal -1/2 binary64) x (PI.f64))))
(/.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x) #s(literal -1 binary64))
(/.f64 (tan.f64 (*.f64 #s(literal -1/2 binary64) x)) x)
(/.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (neg.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) x)) (neg.f64 x))))
(/.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) x)) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) x)) (neg.f64 x)))
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 x))
(/.f64 (sin.f64 x) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (neg.f64 x)))
(neg.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x))
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x))) (neg.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) x (PI.f64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x)))
(/.f64 (+.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (tan.f64 (PI.f64)))))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)) (cos.f64 (fma.f64 #s(literal -1/2 binary64) x (PI.f64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal -1/2 binary64) x)))
(/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(neg.f64 (tan.f64 (*.f64 #s(literal -1/2 binary64) x)))
(tan.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64)) (PI.f64)))
(tan.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (/.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(/.f64 (neg.f64 x) #s(literal -2 binary64))
(/.f64 x #s(literal 2 binary64))
(neg.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64)))
(neg.f64 (/.f64 x #s(literal -2 binary64)))
#s(literal 2 binary64)
#s(approx (* (/ (sin x) (neg x)) (/ (tan (/ x 2)) (neg x))) #s(literal 1/2 binary64))
#s(approx (* (/ (sin x) (neg x)) (/ (tan (/ x 2)) (neg x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (* (/ (sin x) (neg x)) (/ (tan (/ x 2)) (neg x))) (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* (/ (sin x) (neg x)) (/ (tan (/ x 2)) (neg x))) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (sin x) (neg x)) #s(literal -1 binary64))
#s(approx (/ (sin x) (neg x)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64)))
#s(approx (/ (sin x) (neg x)) (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal -1 binary64)))
#s(approx (/ (sin x) (neg x)) (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/5040 binary64) (.f64 x x)) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal -1 binary64)))
#s(approx (sin x) x)
#s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (fma.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x))
#s(approx x x)
#s(approx (neg x) (neg.f64 x))
#s(approx (/ (tan (/ x 2)) (neg x)) #s(literal -1/2 binary64))
#s(approx (/ (tan (/ x 2)) (neg x)) (-.f64 (.f64 (.f64 x x) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ (tan (/ x 2)) (neg x)) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/240 binary64) (.f64 x x)) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)))
#s(approx (/ (tan (/ x 2)) (neg x)) (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -17/40320 binary64) (.f64 x x)) #s(literal 1/240 binary64)) x) x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (tan (/ x 2)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (tan (/ x 2)) (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (tan (/ x 2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (tan (/ x 2)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (/ (sin x) (neg x)) (/ (tan (/ x 2)) (neg x))) (.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))))
#s(approx (/ (sin x) (neg x)) (/.f64 (sin.f64 x) (neg.f64 x)))
#s(approx (sin x) (sin.f64 x))
#s(approx (/ (tan (/ x 2)) (neg x)) (/.f64 (tan.f64 (*.f64 #s(literal -1/2 binary64) x)) x))
#s(approx (tan (/ x 2)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))

eval13.0ms (0.4%)

Memory: 20.8MiB live, 20.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 337 to 441 computations (81.1% saved)

prune203.0ms (5.8%)

Memory

-35.2MiB live, 162.7MiB allocated; 14ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	139	6	145
Fresh	5	1	6
Picked	1	0	1
Done	0	0	0
Total	145	7	152

Accuracy

100.0%

Counts

152 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.f64 (/.f64 (.f64 (/.f64 (tan.f64 (.f64 #s(literal -1/2 binary64) x)) x) (sin.f64 x)) x) #s(literal -1 binary64))
	99.6%	(/.f64 (.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal -1/2 binary64) x)))
	78.3%	(/.f64 (.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (.f64 x x))
	99.6%	(.f64 (/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) x) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
	99.5%	(.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (sin.f64 x) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (neg.f64 x))))
	99.8%	(.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) x))) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) x)))
	78.6%	(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) x)) (*.f64 x x))))

Compiler

Compiled 210 to 156 computations (25.7% saved)

series6.0ms (0.2%)

Memory

12.3MiB live, 12.3MiB allocated; 0ms collecting garbage

Counts

10 → 32

Calls

Call 1

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

Outputs
#s(approx (/ (/ (* (/ (tan (* -1/2 x)) x) (sin x)) x) -1) #s(hole binary64 1/2))
#s(approx (/ (/ (* (/ (tan (* -1/2 x)) x) (sin x)) x) -1) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (/ (* (/ (tan (* -1/2 x)) x) (sin x)) x) -1) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (/ (* (/ (tan (* -1/2 x)) x) (sin x)) x) -1) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ (* (/ (tan (* -1/2 x)) x) (sin x)) x) #s(hole binary64 -1/2))
#s(approx (/ (* (/ (tan (* -1/2 x)) x) (sin x)) x) #s(hole binary64 (- (* 1/24 (pow x 2)) 1/2)))
#s(approx (/ (* (/ (tan (* -1/2 x)) x) (sin x)) x) #s(hole binary64 (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
#s(approx (/ (* (/ (tan (* -1/2 x)) x) (sin x)) x) #s(hole binary64 (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)))
#s(approx (* (/ (tan (* -1/2 x)) x) (sin x)) #s(hole binary64 (* -1/2 x)))
#s(approx (* (/ (tan (* -1/2 x)) x) (sin x)) #s(hole binary64 (* x (- (* 1/24 (pow x 2)) 1/2))))
#s(approx (* (/ (tan (* -1/2 x)) x) (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
#s(approx (* (/ (tan (* -1/2 x)) x) (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))))
#s(approx (/ (tan (* -1/2 x)) x) #s(hole binary64 -1/2))
#s(approx (/ (tan (* -1/2 x)) x) #s(hole binary64 (- (* -1/24 (pow x 2)) 1/2)))
#s(approx (/ (tan (* -1/2 x)) x) #s(hole binary64 (- (* (pow x 2) (- (* -1/240 (pow x 2)) 1/24)) 1/2)))
#s(approx (/ (tan (* -1/2 x)) x) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -17/40320 (pow x 2)) 1/240)) 1/24)) 1/2)))
#s(approx (tan (* -1/2 x)) #s(hole binary64 (* -1/2 x)))
#s(approx (tan (* -1/2 x)) #s(hole binary64 (* x (- (* -1/24 (pow x 2)) 1/2))))
#s(approx (tan (* -1/2 x)) #s(hole binary64 (* x (- (* (pow x 2) (- (* -1/240 (pow x 2)) 1/24)) 1/2))))
#s(approx (tan (* -1/2 x)) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -17/40320 (pow x 2)) 1/240)) 1/24)) 1/2))))
#s(approx (* -1/2 x) #s(hole binary64 (* -1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (/ (/ (* (/ (tan (* -1/2 x)) x) (sin x)) x) -1) #s(hole binary64 (* -1 (/ (* (sin x) (sin (* -1/2 x))) (* (pow x 2) (cos (* -1/2 x)))))))
#s(approx (/ (* (/ (tan (* -1/2 x)) x) (sin x)) x) #s(hole binary64 (/ (* (sin x) (sin (* -1/2 x))) (* (pow x 2) (cos (* -1/2 x))))))
#s(approx (* (/ (tan (* -1/2 x)) x) (sin x)) #s(hole binary64 (/ (* (sin x) (sin (* -1/2 x))) (* x (cos (* -1/2 x))))))
#s(approx (/ (tan (* -1/2 x)) x) #s(hole binary64 (/ (sin (* -1/2 x)) (* x (cos (* -1/2 x))))))
#s(approx (tan (* -1/2 x)) #s(hole binary64 (/ (sin (* -1/2 x)) (cos (* -1/2 x)))))
#s(approx (sin x) #s(hole binary64 (sin x)))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((/ (/ (* (/ (tan (* -1/2 x)) x) (sin x)) x) -1) (/ (* (/ (tan (* -1/2 x)) x) (sin x)) x) (* (/ (tan (* -1/2 x)) x) (sin x)) (/ (tan (* -1/2 x)) x) (tan (* -1/2 x)) (* -1/2 x) -1/2 x (sin x) -1)
2.0ms	x	@	inf	((/ (/ (* (/ (tan (* -1/2 x)) x) (sin x)) x) -1) (/ (* (/ (tan (* -1/2 x)) x) (sin x)) x) (* (/ (tan (* -1/2 x)) x) (sin x)) (/ (tan (* -1/2 x)) x) (tan (* -1/2 x)) (* -1/2 x) -1/2 x (sin x) -1)
1.0ms	x	@	0	((/ (/ (* (/ (tan (* -1/2 x)) x) (sin x)) x) -1) (/ (* (/ (tan (* -1/2 x)) x) (sin x)) x) (* (/ (tan (* -1/2 x)) x) (sin x)) (/ (tan (* -1/2 x)) x) (tan (* -1/2 x)) (* -1/2 x) -1/2 x (sin x) -1)

Time

Variable

Point

Expression

2.0ms

-inf

((/ (/ (* (/ (tan (* -1/2 x)) x) (sin x)) x) -1) (/ (* (/ (tan (* -1/2 x)) x) (sin x)) x) (* (/ (tan (* -1/2 x)) x) (sin x)) (/ (tan (* -1/2 x)) x) (tan (* -1/2 x)) (* -1/2 x) -1/2 x (sin x) -1)

2.0ms

inf

((/ (/ (* (/ (tan (* -1/2 x)) x) (sin x)) x) -1) (/ (* (/ (tan (* -1/2 x)) x) (sin x)) x) (* (/ (tan (* -1/2 x)) x) (sin x)) (/ (tan (* -1/2 x)) x) (tan (* -1/2 x)) (* -1/2 x) -1/2 x (sin x) -1)

1.0ms

((/ (/ (* (/ (tan (* -1/2 x)) x) (sin x)) x) -1) (/ (* (/ (tan (* -1/2 x)) x) (sin x)) x) (* (/ (tan (* -1/2 x)) x) (sin x)) (/ (tan (* -1/2 x)) x) (tan (* -1/2 x)) (* -1/2 x) -1/2 x (sin x) -1)

rewrite134.0ms (3.8%)

Memory

-13.0MiB live, 128.5MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	132	648
0	143	627
1	578	609
0	4476	597

Stop Event

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

Counts

42 → 148

Calls

Call 1

Inputs
(/.f64 (/.f64 (.f64 (/.f64 (tan.f64 (.f64 #s(literal -1/2 binary64) x)) x) (sin.f64 x)) x) #s(literal -1 binary64))
(/.f64 (.f64 (/.f64 (tan.f64 (.f64 #s(literal -1/2 binary64) x)) x) (sin.f64 x)) x)
(.f64 (/.f64 (tan.f64 (.f64 #s(literal -1/2 binary64) x)) x) (sin.f64 x))
(/.f64 (tan.f64 (*.f64 #s(literal -1/2 binary64) x)) x)
(tan.f64 (*.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
(sin.f64 x)
#s(literal -1 binary64)
#s(approx (/ (/ (* (/ (tan (* -1/2 x)) x) (sin x)) x) -1) #s(hole binary64 1/2))
#s(approx (/ (/ (* (/ (tan (* -1/2 x)) x) (sin x)) x) -1) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (/ (* (/ (tan (* -1/2 x)) x) (sin x)) x) -1) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (/ (* (/ (tan (* -1/2 x)) x) (sin x)) x) -1) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ (* (/ (tan (* -1/2 x)) x) (sin x)) x) #s(hole binary64 -1/2))
#s(approx (/ (* (/ (tan (* -1/2 x)) x) (sin x)) x) #s(hole binary64 (- (* 1/24 (pow x 2)) 1/2)))
#s(approx (/ (* (/ (tan (* -1/2 x)) x) (sin x)) x) #s(hole binary64 (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
#s(approx (/ (* (/ (tan (* -1/2 x)) x) (sin x)) x) #s(hole binary64 (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)))
#s(approx (* (/ (tan (* -1/2 x)) x) (sin x)) #s(hole binary64 (* -1/2 x)))
#s(approx (* (/ (tan (* -1/2 x)) x) (sin x)) #s(hole binary64 (* x (- (* 1/24 (pow x 2)) 1/2))))
#s(approx (* (/ (tan (* -1/2 x)) x) (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
#s(approx (* (/ (tan (* -1/2 x)) x) (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))))
#s(approx (/ (tan (* -1/2 x)) x) #s(hole binary64 -1/2))
#s(approx (/ (tan (* -1/2 x)) x) #s(hole binary64 (- (* -1/24 (pow x 2)) 1/2)))
#s(approx (/ (tan (* -1/2 x)) x) #s(hole binary64 (- (* (pow x 2) (- (* -1/240 (pow x 2)) 1/24)) 1/2)))
#s(approx (/ (tan (* -1/2 x)) x) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -17/40320 (pow x 2)) 1/240)) 1/24)) 1/2)))
#s(approx (tan (* -1/2 x)) #s(hole binary64 (* -1/2 x)))
#s(approx (tan (* -1/2 x)) #s(hole binary64 (* x (- (* -1/24 (pow x 2)) 1/2))))
#s(approx (tan (* -1/2 x)) #s(hole binary64 (* x (- (* (pow x 2) (- (* -1/240 (pow x 2)) 1/24)) 1/2))))
#s(approx (tan (* -1/2 x)) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -17/40320 (pow x 2)) 1/240)) 1/24)) 1/2))))
#s(approx (* -1/2 x) #s(hole binary64 (* -1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (/ (/ (* (/ (tan (* -1/2 x)) x) (sin x)) x) -1) #s(hole binary64 (* -1 (/ (* (sin x) (sin (* -1/2 x))) (* (pow x 2) (cos (* -1/2 x)))))))
#s(approx (/ (* (/ (tan (* -1/2 x)) x) (sin x)) x) #s(hole binary64 (/ (* (sin x) (sin (* -1/2 x))) (* (pow x 2) (cos (* -1/2 x))))))
#s(approx (* (/ (tan (* -1/2 x)) x) (sin x)) #s(hole binary64 (/ (* (sin x) (sin (* -1/2 x))) (* x (cos (* -1/2 x))))))
#s(approx (/ (tan (* -1/2 x)) x) #s(hole binary64 (/ (sin (* -1/2 x)) (* x (cos (* -1/2 x))))))
#s(approx (tan (* -1/2 x)) #s(hole binary64 (/ (sin (* -1/2 x)) (cos (* -1/2 x)))))
#s(approx (sin x) #s(hole binary64 (sin x)))

Outputs
(.f64 (/.f64 (.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64))
(.f64 (.f64 #s(literal -1 binary64) (/.f64 (/.f64 (sin.f64 x) x) x)) (tan.f64 (*.f64 x #s(literal -1/2 binary64))))
(.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) (/.f64 (tan.f64 (.f64 x #s(literal -1/2 binary64))) (.f64 x x)))
(.f64 (neg.f64 (/.f64 (tan.f64 (.f64 x #s(literal -1/2 binary64))) x)) (/.f64 (sin.f64 x) x))
(.f64 (neg.f64 (/.f64 (/.f64 (sin.f64 x) x) x)) (tan.f64 (.f64 x #s(literal -1/2 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 (sin.f64 (.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x)))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 (sin.f64 x) (tan.f64 (.f64 x #s(literal -1/2 binary64)))))
(.f64 (/.f64 (/.f64 (tan.f64 (.f64 x #s(literal -1/2 binary64))) x) x) (/.f64 (sin.f64 x) #s(literal -1 binary64)))
(.f64 (neg.f64 (sin.f64 x)) (/.f64 (tan.f64 (.f64 x #s(literal -1/2 binary64))) (*.f64 x x)))
(.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (.f64 (tan.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (/.f64 (tan.f64 (.f64 x #s(literal -1/2 binary64))) x) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (*.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(.f64 (sin.f64 x) (/.f64 (/.f64 (tan.f64 (.f64 x #s(literal -1/2 binary64))) x) (*.f64 #s(literal -1 binary64) x)))
(.f64 (sin.f64 x) (.f64 (/.f64 (tan.f64 (.f64 x #s(literal -1/2 binary64))) (.f64 x x)) #s(literal -1 binary64)))
(.f64 (sin.f64 x) (neg.f64 (/.f64 (tan.f64 (.f64 x #s(literal -1/2 binary64))) (*.f64 x x))))
(.f64 (/.f64 (tan.f64 (.f64 x #s(literal -1/2 binary64))) x) (/.f64 (/.f64 (sin.f64 x) x) #s(literal -1 binary64)))
(.f64 (/.f64 (tan.f64 (.f64 x #s(literal -1/2 binary64))) x) (/.f64 (sin.f64 x) (*.f64 #s(literal -1 binary64) x)))
(.f64 (/.f64 (tan.f64 (.f64 x #s(literal -1/2 binary64))) x) (neg.f64 (/.f64 (sin.f64 x) x)))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 x x))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (.f64 x x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (.f64 (.f64 (sin.f64 (.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x)) #s(literal -1 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal -1 binary64)) (.f64 (.f64 (neg.f64 x) x) (cos.f64 (.f64 #s(literal 1/2 binary64) x))))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (sin.f64 (.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x))) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (.f64 (.f64 (neg.f64 x) x) (cos.f64 (.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (.f64 (neg.f64 (sin.f64 x)) (/.f64 (tan.f64 (.f64 x #s(literal -1/2 binary64))) x))) (neg.f64 x))
(/.f64 (neg.f64 (.f64 (sin.f64 (.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (neg.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (.f64 (.f64 (neg.f64 x) x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (.f64 (sin.f64 (.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))))
(/.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x #s(literal -1/2 binary64)))) (.f64 x (.f64 #s(literal -1 binary64) x)))
(/.f64 (.f64 (neg.f64 (sin.f64 x)) (/.f64 (tan.f64 (.f64 x #s(literal -1/2 binary64))) x)) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(/.f64 (.f64 (neg.f64 (sin.f64 x)) (/.f64 (tan.f64 (.f64 x #s(literal -1/2 binary64))) x)) (neg.f64 (neg.f64 x)))
(/.f64 (.f64 (neg.f64 (sin.f64 x)) (/.f64 (tan.f64 (.f64 x #s(literal -1/2 binary64))) x)) x)
(/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (neg.f64 (.f64 (.f64 (neg.f64 x) x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)))
(/.f64 (.f64 (sin.f64 (.f64 x #s(literal -1/2 binary64))) (sin.f64 x)) (.f64 (.f64 (neg.f64 x) x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(/.f64 (.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(/.f64 (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal -1 binary64) x))
(/.f64 (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 x #s(literal -1/2 binary64)))) (neg.f64 x))
(neg.f64 (/.f64 (.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(neg.f64 (.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (.f64 x #s(literal -1/2 binary64)))))
(.f64 (/.f64 (sin.f64 (.f64 x #s(literal -1/2 binary64))) (.f64 x x)) (/.f64 (sin.f64 x) (cos.f64 (.f64 #s(literal 1/2 binary64) x))))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 #s(literal 1/2 binary64) x))) (/.f64 (sin.f64 (.f64 x #s(literal -1/2 binary64))) (.f64 x x)))
(.f64 (/.f64 (tan.f64 (.f64 x #s(literal -1/2 binary64))) (*.f64 x x)) (sin.f64 x))
(.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (.f64 x #s(literal -1/2 binary64))))
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 x #s(literal -1/2 binary64))) x))
(.f64 (sin.f64 (.f64 x #s(literal -1/2 binary64))) (/.f64 (sin.f64 x) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (*.f64 x x))))
(.f64 (sin.f64 x) (/.f64 (/.f64 (tan.f64 (.f64 x #s(literal -1/2 binary64))) x) x))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x #s(literal -1/2 binary64))) (*.f64 x x)))
(.f64 (/.f64 (tan.f64 (.f64 x #s(literal -1/2 binary64))) x) (/.f64 (sin.f64 x) x))
(.f64 (tan.f64 (.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x))
(/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) (neg.f64 x))
(/.f64 (.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))))
(/.f64 (.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (sin.f64 (.f64 x #s(literal -1/2 binary64)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (neg.f64 (.f64 (neg.f64 (sin.f64 x)) (/.f64 (tan.f64 (.f64 x #s(literal -1/2 binary64))) x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (.f64 (sin.f64 (.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))))
(/.f64 (neg.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (neg.f64 (.f64 (.f64 (neg.f64 x) x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (neg.f64 x) x))
(/.f64 (.f64 (sin.f64 (.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x #s(literal -1/2 binary64)))) (*.f64 x x))
(/.f64 (.f64 (neg.f64 (sin.f64 x)) (/.f64 (tan.f64 (.f64 x #s(literal -1/2 binary64))) x)) (neg.f64 x))
(/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (.f64 (.f64 (neg.f64 x) x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (-.f64 (cos.f64 (-.f64 x (.f64 x #s(literal -1/2 binary64)))) (cos.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 x x))))
(/.f64 (.f64 (sin.f64 (.f64 x #s(literal -1/2 binary64))) (sin.f64 x)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)))
(/.f64 (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 x #s(literal -1/2 binary64)))) x)
(neg.f64 (.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 #s(literal 1/2 binary64) x))) (/.f64 (sin.f64 (*.f64 x #s(literal -1/2 binary64))) x))
(.f64 (/.f64 (sin.f64 (.f64 x #s(literal -1/2 binary64))) x) (/.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 x #s(literal -1/2 binary64))))
(.f64 (sin.f64 (.f64 x #s(literal -1/2 binary64))) (/.f64 (sin.f64 x) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) x)))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x #s(literal -1/2 binary64))) x))
(.f64 (/.f64 (tan.f64 (.f64 x #s(literal -1/2 binary64))) x) (sin.f64 x))
(.f64 (tan.f64 (.f64 x #s(literal -1/2 binary64))) (/.f64 (sin.f64 x) x))
(/.f64 (.f64 (/.f64 (sin.f64 x) x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))))
(/.f64 (.f64 (/.f64 (sin.f64 x) x) (sin.f64 (.f64 x #s(literal -1/2 binary64)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (neg.f64 x))
(/.f64 (neg.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x #s(literal -1/2 binary64))))) (neg.f64 x))
(/.f64 (neg.f64 (.f64 (sin.f64 (.f64 x #s(literal -1/2 binary64))) (/.f64 (sin.f64 x) x))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))))
(/.f64 (neg.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (neg.f64 (.f64 (neg.f64 x) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (neg.f64 x))
(/.f64 (.f64 (sin.f64 (.f64 x #s(literal -1/2 binary64))) (/.f64 (sin.f64 x) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x #s(literal -1/2 binary64)))) x)
(/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (.f64 (neg.f64 x) (cos.f64 (.f64 #s(literal 1/2 binary64) x))))
(/.f64 (-.f64 (cos.f64 (-.f64 x (.f64 x #s(literal -1/2 binary64)))) (cos.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) x)))
(/.f64 (.f64 (sin.f64 (.f64 x #s(literal -1/2 binary64))) (sin.f64 x)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) x))
(neg.f64 (/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) x)))
(neg.f64 (/.f64 (.f64 (sin.f64 (.f64 x #s(literal -1/2 binary64))) (sin.f64 x)) (.f64 (neg.f64 x) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 x #s(literal -1/2 binary64))) x)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))))
(/.f64 (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (neg.f64 (.f64 (neg.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (/.f64 (sin.f64 (.f64 x #s(literal -1/2 binary64))) x) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 x))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (neg.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (sin.f64 (.f64 x #s(literal -1/2 binary64))) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) x))
(/.f64 (tan.f64 (*.f64 x #s(literal -1/2 binary64))) (neg.f64 (neg.f64 x)))
(/.f64 (tan.f64 (*.f64 x #s(literal -1/2 binary64))) x)
(neg.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x))
(neg.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) x)))
(neg.f64 (/.f64 (tan.f64 (*.f64 x #s(literal -1/2 binary64))) (neg.f64 x)))
(neg.f64 (/.f64 (sin.f64 (.f64 x #s(literal -1/2 binary64))) (.f64 (neg.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64)))))
(/.f64 (+.f64 (tan.f64 (.f64 x #s(literal -1/2 binary64))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (*.f64 x #s(literal -1/2 binary64))) (tan.f64 (PI.f64)))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))))
(/.f64 (sin.f64 (.f64 x #s(literal -1/2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(tan.f64 (+.f64 (fma.f64 x #s(literal -1/2 binary64) (PI.f64)) (PI.f64)))
(tan.f64 (fma.f64 x #s(literal -1/2 binary64) (PI.f64)))
(tan.f64 (*.f64 x #s(literal -1/2 binary64)))
(*.f64 x #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
(sin.f64 x)
#s(literal -1 binary64)
#s(approx (/ (/ (* (/ (tan (* -1/2 x)) x) (sin x)) x) -1) #s(literal 1/2 binary64))
#s(approx (/ (/ (* (/ (tan (* -1/2 x)) x) (sin x)) x) -1) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (/ (* (/ (tan (* -1/2 x)) x) (sin x)) x) -1) (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (/ (* (/ (tan (* -1/2 x)) x) (sin x)) x) -1) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (* (/ (tan (* -1/2 x)) x) (sin x)) x) #s(literal -1/2 binary64))
#s(approx (/ (* (/ (tan (* -1/2 x)) x) (sin x)) x) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (/ (* (/ (tan (* -1/2 x)) x) (sin x)) x) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)))
#s(approx (/ (* (/ (tan (* -1/2 x)) x) (sin x)) x) (-.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/40320 binary64) (.f64 x x)) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)))
#s(approx (* (/ (tan (* -1/2 x)) x) (sin x)) (*.f64 x #s(literal -1/2 binary64)))
#s(approx (* (/ (tan (* -1/2 x)) x) (sin x)) (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))
#s(approx (* (/ (tan (* -1/2 x)) x) (sin x)) (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) x))
#s(approx (* (/ (tan (* -1/2 x)) x) (sin x)) (.f64 (-.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/40320 binary64) (.f64 x x)) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) x))
#s(approx (/ (tan (* -1/2 x)) x) #s(literal -1/2 binary64))
#s(approx (/ (tan (* -1/2 x)) x) (-.f64 (.f64 (.f64 x x) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ (tan (* -1/2 x)) x) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/240 binary64) (.f64 x x)) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)))
#s(approx (/ (tan (* -1/2 x)) x) (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -17/40320 binary64) (.f64 x x)) #s(literal 1/240 binary64)) x) x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (tan (* -1/2 x)) (*.f64 x #s(literal -1/2 binary64)))
#s(approx (tan (* -1/2 x)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) x))
#s(approx (tan (* -1/2 x)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/240 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) x))
#s(approx (tan (* -1/2 x)) (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -17/40320 binary64) (.f64 x x)) #s(literal 1/240 binary64)) x) x) #s(literal 1/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) x))
#s(approx (* -1/2 x) (*.f64 x #s(literal -1/2 binary64)))
#s(approx x x)
#s(approx (sin x) x)
#s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (fma.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x))
#s(approx (/ (/ (* (/ (tan (* -1/2 x)) x) (sin x)) x) -1) (.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))))
#s(approx (/ (* (/ (tan (* -1/2 x)) x) (sin x)) x) (.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (.f64 x #s(literal -1/2 binary64)))))
#s(approx (* (/ (tan (* -1/2 x)) x) (sin x)) (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 x #s(literal -1/2 binary64)))))
#s(approx (/ (tan (* -1/2 x)) x) (/.f64 (tan.f64 (*.f64 x #s(literal -1/2 binary64))) x))
#s(approx (tan (* -1/2 x)) (tan.f64 (*.f64 x #s(literal -1/2 binary64))))
#s(approx (sin x) (sin.f64 x))

eval14.0ms (0.4%)

Memory: 24.5MiB live, 24.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 642 to 535 computations (79.8% saved)

prune171.0ms (4.9%)

Memory

-8.4MiB live, 185.8MiB allocated; 16ms collecting garbage

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	150	4	154
Fresh	4	2	6
Picked	0	1	1
Done	0	0	0
Total	154	7	161

Accuracy

100.0%

Counts

161 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(/.f64 (/.f64 (.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (sin.f64 (.f64 x #s(literal -1/2 binary64)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
✓	99.8%	(/.f64 (/.f64 (.f64 (/.f64 (tan.f64 (.f64 #s(literal -1/2 binary64) x)) x) (sin.f64 x)) x) #s(literal -1 binary64))
	99.8%	(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x #s(literal -1/2 binary64))) (/.f64 (sin.f64 x) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) x))) x) #s(literal -1 binary64))
	78.2%	(/.f64 (/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (.f64 x x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
	99.6%	(/.f64 (.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64))
	99.5%	(.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (sin.f64 x) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (neg.f64 x))))
	99.8%	(.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) x))) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) x)))

Compiler

Compiled 500 to 203 computations (59.4% saved)

regimes13.0ms (0.4%)

Memory

17.2MiB live, 17.2MiB allocated; 0ms collecting garbage

Accuracy

Total -62.9b remaining (-57193.8%)

Threshold costs -62.9b (-57193.8%)

Counts

24 → 1

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x)) (neg.f64 x))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (*.f64 x x)))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (.f64 x x))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 x)))
(/.f64 (.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(/.f64 (/.f64 (.f64 (/.f64 (tan.f64 (.f64 #s(literal -1/2 binary64) x)) x) (sin.f64 x)) x) #s(literal -1 binary64))
(.f64 (/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) x) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))
(/.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (.f64 x x))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) x)) (*.f64 x x))))
(.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (sin.f64 x) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (neg.f64 x))))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (.f64 x x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal -1/2 binary64) x)))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x #s(literal -1/2 binary64))) (/.f64 (sin.f64 x) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) x))) x) #s(literal -1 binary64))
(.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) x))) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) x)))
(/.f64 (/.f64 (.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (sin.f64 (.f64 x #s(literal -1/2 binary64)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 x x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (/.f64 (.f64 (sin.f64 x) (exp.f64 (.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64)))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))) (.f64 x x))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.8%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
99.8%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify38.0ms (1.1%)

Memory

-9.8MiB live, 37.7MiB allocated; 1ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	20	13
2	37	13
3	63	11
4	124	11
5	499	11
6	3606	11

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations32.0ms (0.9%)

Memory

-27.9MiB live, 19.7MiB allocated; 1ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 11 to 8 computations (27.3% saved)

preprocess12.0ms (0.3%)

Memory: 16.1MiB live, 16.1MiB allocated; 0ms collecting garbage
Remove: (abs x)
Compiler: Compiled 82 to 60 computations (26.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze2.0ms (0%)

sample1.8s (51.1%)

explain169.0ms (4.8%)

preprocess168.0ms (4.8%)

eval0.0ms (0%)

prune0.0ms (0%)

series23.0ms (0.6%)

rewrite89.0ms (2.5%)

eval6.0ms (0.2%)

prune19.0ms (0.5%)

series6.0ms (0.2%)

rewrite220.0ms (6.2%)

eval18.0ms (0.5%)

prune198.0ms (5.6%)

series8.0ms (0.2%)

rewrite159.0ms (4.5%)

eval13.0ms (0.4%)

prune203.0ms (5.8%)

series6.0ms (0.2%)

rewrite134.0ms (3.8%)

eval14.0ms (0.4%)

prune171.0ms (4.9%)

regimes13.0ms (0.4%)

simplify38.0ms (1.1%)

derivations32.0ms (0.9%)

preprocess12.0ms (0.3%)

end0.0ms (0%)

Profiling