Metrics for ENA, Section 1.4, Exercise 4a

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
0%	0%	50%	50%	0%	0%	0%	1
50%	25%	25%	50%	0%	0%	0%	2
75%	37.5%	12.5%	50%	0%	0%	0%	3
87.5%	43.7%	6.2%	50%	0%	0%	0%	4
93.8%	46.8%	3.1%	50%	0%	0%	0%	5
96.9%	48.4%	1.6%	50%	0%	0%	0%	6
98.4%	49.2%	0.8%	50%	0%	0%	0%	7
99.2%	49.6%	0.4%	50%	0%	0%	0%	8
99.6%	49.8%	0.2%	50%	0%	0%	0%	9
99.8%	49.9%	0.1%	50%	0%	0%	0%	10
99.9%	49.9%	0%	50%	0%	0%	0%	11
100%	49.9%	0%	50%	0%	0%	0%	12

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample3.7s (31.4%)

Memory

19.8MiB live, 3 751.8MiB allocated

Samples

2.8s	5 616×	2	valid
431.0ms	2 515×	1	valid
8.0ms	125×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.8s

ival-sin: 2.0s (71% of total)

adjust: 237.0ms (8.4% of total)

ival-div: 204.0ms (7.2% of total)

ival-sub: 177.0ms (6.3% of total)

ival-tan: 106.0ms (3.8% of total)

ival-<=: 65.0ms (2.3% of total)

ival-and: 13.0ms (0.5% of total)

exact: 13.0ms (0.5% of total)

ival-assert: 3.0ms (0.1% of total)

Bogosity

explain287.0ms (2.4%)

Memory

38.3MiB live, 233.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
88	-	0	-	`(-.f64 x (sin.f64 x))`
42	-	4	(3.566600303359213e-105)	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`
0	-	0	-	`(tan.f64 x)`
0	-	0	-	`(sin.f64 x)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 x (sin.f64 x))`	cancellation	88	0
`/.f64`	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`	u/n	38	0
↳	`(-.f64 x (sin.f64 x))`	underflow	168

Confusion

	Predicted +	Predicted -
+	126	0
-	0	130

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	126	0	0
-	0	0	130

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	130
1	126

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

172.0ms	350×	2	valid
33.0ms	158×	1	valid
0.0ms	4×	0	valid

Compiler

Compiled 59 to 24 computations (59.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 185.0ms

ival-sin: 136.0ms (73.5% of total)

ival-sub: 22.0ms (11.9% of total)

adjust: 14.0ms (7.6% of total)

ival-div: 9.0ms (4.9% of total)

ival-tan: 4.0ms (2.2% of total)

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

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

preprocess760.0ms (6.5%)

Memory

-3.1MiB live, 229.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	21
1	29	17
2	112	14
3	389	14
4	1130	14
5	2286	14
6	4075	14
7	6969	14
0	5	7
0	9	7
1	17	7
2	44	7
3	117	7
4	291	7
5	674	7
6	1645	7
7	6335	7
0	8186	7

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Outputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Symmetry

(abs x)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.5%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify376.0ms (3.2%)

Memory

-29.3MiB live, 221.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(tan.f64 x)
cost-diff	0	(sin.f64 x)
cost-diff	0	(-.f64 x (sin.f64 x))
cost-diff	0	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	16
0	9	16
1	17	16
2	44	16
3	117	16
4	291	16
5	674	16
6	1645	16
7	6335	16
0	8186	16

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(-.f64 x (sin.f64 x))
x
(sin.f64 x)
(tan.f64 x)

Outputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(-.f64 x (sin.f64 x))
x
(sin.f64 x)
(tan.f64 x)

localize122.0ms (1%)

Memory

11.4MiB live, 96.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(tan.f64 x)
accuracy	0.0	(sin.f64 x)
accuracy	8.444543497477577	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
accuracy	19.69023063911361	(-.f64 x (sin.f64 x))

Samples

105.0ms	175×	2	valid
10.0ms	79×	1	valid
0.0ms	2×	0	valid

Compiler

Compiled 34 to 12 computations (64.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 104.0ms

ival-sin: 88.0ms (84.5% of total)

adjust: 6.0ms (5.8% of total)

ival-div: 4.0ms (3.8% of total)

ival-sub: 4.0ms (3.8% of total)

ival-tan: 2.0ms (1.9% of total)

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

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

series4.0ms (0%)

Memory

6.0MiB live, 6.0MiB allocated

Counts

4 → 22

Calls

Call 1

Inputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(-.f64 x (sin.f64 x))
(sin.f64 x)
(tan.f64 x)

Outputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ 1 (* -1 (/ (sin x) x))))
(sin x)
(/ (sin x) (cos x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (- (/ (sin x) x) 1)))

Calls

3 calls:

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

simplify161.0ms (1.4%)

Memory

-17.0MiB live, 137.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	261
1	355	245
2	1202	245
3	4427	231
0	8261	207

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 21

Calls

Call 1

Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ 1 (* -1 (/ (sin x) x))))
(sin x)
(/ (sin x) (cos x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (- (/ (sin x) x) 1)))

Outputs
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* 1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x x) #s(literal -1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* x (+ 1 (* -1 (/ (sin x) x))))
(-.f64 x (sin.f64 x))
(sin x)
(sin.f64 x)
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* -1 (* x (- (/ (sin x) x) 1)))
(-.f64 x (sin.f64 x))

rewrite190.0ms (1.6%)

Memory

25.7MiB live, 149.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	9	15
1	40	15
2	336	15
3	4146	15
0	8402	15

Stop Event

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

Counts

4 → 404

Calls

Call 1

Inputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(-.f64 x (sin.f64 x))
(sin.f64 x)
(tan.f64 x)

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

eval70.0ms (0.6%)

Memory: -8.8MiB live, 62.0MiB allocated
Compiler: Compiled 8 181 to 1 197 computations (85.4% saved)

prune40.0ms (0.3%)

Memory

-11.1MiB live, 26.6MiB allocated

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	414	9	423
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	414	10	424

Accuracy

99.9%

Counts

424 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.5%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) (PI.f64))))
	55.5%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))))
✓	55.5%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
	86.5%	(/.f64 #s(approx (- x (sin x)) (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (tan.f64 x))
▶	86.3%	(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
	55.5%	(+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x)))
▶	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
▶	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
▶	99.2%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

Compiler

Compiled 305 to 203 computations (33.4% saved)

simplify276.0ms (2.3%)

Memory

-9.1MiB live, 170.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	1	(+.f64 (+.f64 (PI.f64) x) (PI.f64))
cost-diff	2	(+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))
cost-diff	2	(+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) (PI.f64))
cost-diff	3	(tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) (PI.f64)))
cost-diff	0	(pow.f64 x #s(literal 3 binary64))
cost-diff	0	(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
cost-diff	0	#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
cost-diff	0	(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
cost-diff	0	(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal 1/6 binary64))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	298
0	68	288
1	135	282
2	421	278
3	1680	276
4	6145	276
0	8097	273

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64))
(fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64))
#s(literal -143/604800 binary64)
(*.f64 x x)
x
#s(literal -11/15120 binary64)
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
#s(literal -11/15120 binary64)
(*.f64 x x)
x
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal 1/6 binary64)
(tan.f64 x)
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) (PI.f64))))
(-.f64 x (sin.f64 x))
x
(sin.f64 x)
(tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) (PI.f64)))
(+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) (PI.f64))
(+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))
(+.f64 (+.f64 (PI.f64) x) (PI.f64))
(+.f64 (PI.f64) x)
(PI.f64)

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64))
(fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64))
(fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))
#s(literal -143/604800 binary64)
(*.f64 x x)
x
#s(literal -11/15120 binary64)
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
#s(literal -11/15120 binary64)
(*.f64 x x)
x
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal 1/6 binary64)
(tan.f64 x)
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) (PI.f64))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(-.f64 x (sin.f64 x))
x
(sin.f64 x)
(tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) (PI.f64)))
(tan.f64 x)
(+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) (PI.f64))
(fma.f64 #s(literal 4 binary64) (PI.f64) x)
(+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))
(fma.f64 (PI.f64) #s(literal 3 binary64) x)
(+.f64 (+.f64 (PI.f64) x) (PI.f64))
(fma.f64 #s(literal 2 binary64) (PI.f64) x)
(+.f64 (PI.f64) x)
(PI.f64)

localize733.0ms (6.2%)

Memory

11.4MiB live, 479.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.015625	(+.f64 (+.f64 (PI.f64) x) (PI.f64))
accuracy	8.444543497477577	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) (PI.f64))))
accuracy	19.69023063911361	(-.f64 x (sin.f64 x))
accuracy	61.39447190115855	(tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) (PI.f64)))
accuracy	0.0	(tan.f64 x)
accuracy	0.09765625	(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
accuracy	0.3023344947575898	#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
accuracy	8.444543497477577	(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
accuracy	0.0078125	(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
accuracy	0.10678092846081647	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
accuracy	0.1171875	(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
accuracy	0.3203125	(.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
accuracy	0.0	(*.f64 x x)
accuracy	0.15625	(.f64 (.f64 x x) #s(literal 1/6 binary64))
accuracy	0.3469209701395257	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
accuracy	0.0078125	(fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
accuracy	0.072051312975979	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
accuracy	0.1171875	(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
accuracy	0.31640625	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)

Samples

579.0ms	174×	2	valid
93.0ms	79×	1	valid
5.0ms	1×	3	valid
1.0ms	2×	0	valid

Compiler

Compiled 562 to 75 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 588.0ms

ival-tan: 292.0ms (49.7% of total)

adjust: 84.0ms (14.3% of total)

ival-sin: 69.0ms (11.7% of total)

ival-mult: 63.0ms (10.7% of total)

const: 40.0ms (6.8% of total)

ival-add: 21.0ms (3.6% of total)

ival-div: 9.0ms (1.5% of total)

ival-sub: 4.0ms (0.7% of total)

ival-pow: 3.0ms (0.5% of total)

ival-pi: 2.0ms (0.3% of total)

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

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

exact: 0.0ms (0% of total)

series42.0ms (0.4%)

Memory

-26.9MiB live, 29.4MiB allocated

Counts

23 → 82

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 x #s(literal 3 binary64))
(tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) (PI.f64)))
(+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) (PI.f64))
(+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))
(+.f64 (+.f64 (PI.f64) x) (PI.f64))
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
(tan.f64 x)
(-.f64 x (sin.f64 x))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) (PI.f64))))

Outputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))
(pow x 2)
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
(pow x 3)
(/ (sin (* 4 (PI))) (cos (* 4 (PI))))
(+ (* x (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2))))) (/ (sin (* 4 (PI))) (cos (* 4 (PI)))))
(+ (* x (- (+ 1 (/ (* x (* (sin (* 4 (PI))) (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2)))))) (cos (* 4 (PI))))) (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2))))) (/ (sin (* 4 (PI))) (cos (* 4 (PI)))))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (* 4 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2))))) (pow (cos (* 4 (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2))))) (* 1/6 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2)))))))) (* -1 (/ (* (sin (* 4 (PI))) (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2))))) (cos (* 4 (PI)))))))) (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2))))) (/ (sin (* 4 (PI))) (cos (* 4 (PI)))))
(* 4 (PI))
(+ x (* 4 (PI)))
(+ (PI) (* 2 (PI)))
(+ x (+ (PI) (* 2 (PI))))
(* 2 (PI))
(+ x (* 2 (PI)))
-23/360
(- (* -11/15120 (pow x 2)) 23/360)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(* 1/6 (/ (* (pow x 3) (cos (* 4 (PI)))) (sin (* 4 (PI)))))
(* (pow x 3) (+ (* -1/6 (/ (* x (* (pow (cos (* 4 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2)))))) (pow (sin (* 4 (PI))) 2))) (* 1/6 (/ (cos (* 4 (PI))) (sin (* 4 (PI)))))))
(* (pow x 3) (+ (* 1/6 (/ (cos (* 4 (PI))) (sin (* 4 (PI))))) (* x (- (* x (- (* -1/120 (/ (cos (* 4 (PI))) (sin (* 4 (PI))))) (+ (* -1/6 (/ (* (pow (cos (* 4 (PI))) 3) (pow (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2)))) 2)) (pow (sin (* 4 (PI))) 3))) (* 1/6 (/ (* (cos (* 4 (PI))) (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2))))) (sin (* 4 (PI)))))))) (* 1/6 (/ (* (pow (cos (* 4 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2))))) (pow (sin (* 4 (PI))) 2)))))))
(* (pow x 3) (+ (* 1/6 (/ (cos (* 4 (PI))) (sin (* 4 (PI))))) (* x (- (* x (- (+ (* -1 (* x (+ (* -1/6 (/ (* (pow (cos (* 4 (PI))) 2) (+ 1/6 (+ (* -1 (/ (* (pow (sin (* 4 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2))))) (pow (cos (* 4 (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2))))) (* 1/6 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2))))))) (pow (sin (* 4 (PI))) 2))) (+ (* -1/6 (/ (* (pow (cos (* 4 (PI))) 2) (pow (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2)))) 2)) (pow (sin (* 4 (PI))) 2))) (/ (* (cos (* 4 (PI))) (* (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2)))) (- (* -1/120 (/ (cos (* 4 (PI))) (sin (* 4 (PI))))) (+ (* -1/6 (/ (* (pow (cos (* 4 (PI))) 3) (pow (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2)))) 2)) (pow (sin (* 4 (PI))) 3))) (* 1/6 (/ (* (cos (* 4 (PI))) (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2))))) (sin (* 4 (PI))))))))) (sin (* 4 (PI)))))))) (* -1/120 (/ (cos (* 4 (PI))) (sin (* 4 (PI)))))) (+ (* -1/6 (/ (* (pow (cos (* 4 (PI))) 3) (pow (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2)))) 2)) (pow (sin (* 4 (PI))) 3))) (* 1/6 (/ (* (cos (* 4 (PI))) (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2))))) (sin (* 4 (PI)))))))) (* 1/6 (/ (* (pow (cos (* 4 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2))))) (pow (sin (* 4 (PI))) 2)))))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* -143/604800 (pow x 8))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 7))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 6))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 5))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 4))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* x (+ 1 (* -1 (/ (sin x) x))))
(/ (sin (+ x (* 4 (PI)))) (cos (+ x (* 4 (PI)))))
(* x (+ 1 (* 4 (/ (PI) x))))
(* x (+ 1 (+ (* 2 (/ (PI) x)) (/ (PI) x))))
(* x (+ 1 (* 2 (/ (PI) x))))
(* -11/15120 (pow x 2))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(/ (sin x) (cos x))
(/ (* x (cos (+ x (* 4 (PI))))) (sin (+ x (* 4 (PI)))))
(* x (+ (* -1 (/ (* (cos (+ x (* 4 (PI)))) (sin x)) (* x (sin (+ x (* 4 (PI))))))) (/ (cos (+ x (* 4 (PI)))) (sin (+ x (* 4 (PI)))))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6))))))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(* -1 (* x (- (/ (sin x) x) 1)))
(/ (sin (- (* 4 (PI)) (* -1 x))) (cos (- (* 4 (PI)) (* -1 x))))
(* -1 (* x (- (* -4 (/ (PI) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (PI) (* 2 (PI))) x)) 1)))
(* -1 (* x (- (* -2 (/ (PI) x)) 1)))
(/ (* x (cos (- (* 4 (PI)) (* -1 x)))) (sin (- (* 4 (PI)) (* -1 x))))
(* -1 (* x (+ (* -1 (/ (cos (- (* 4 (PI)) (* -1 x))) (sin (- (* 4 (PI)) (* -1 x))))) (/ (* (cos (- (* 4 (PI)) (* -1 x))) (sin x)) (* x (sin (- (* 4 (PI)) (* -1 x))))))))

Calls

3 calls:

Time	Variable		Point	Expression
29.0ms	x	@	-inf	((/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (* x x) (/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) (tan (+ (+ (+ (+ (PI) x) (PI)) (PI)) (PI))) (+ (+ (+ (+ (PI) x) (PI)) (PI)) (PI)) (+ (+ (+ (PI) x) (PI)) (PI)) (+ (+ (PI) x) (PI)) (+ (* -11/15120 (* x x)) -23/360) (tan x) (- x (sin x)) (/ (- x (sin x)) (tan (+ (+ (+ (+ (PI) x) (PI)) (PI)) (PI)))))
6.0ms	x	@	inf	((/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (* x x) (/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) (tan (+ (+ (+ (+ (PI) x) (PI)) (PI)) (PI))) (+ (+ (+ (+ (PI) x) (PI)) (PI)) (PI)) (+ (+ (+ (PI) x) (PI)) (PI)) (+ (+ (PI) x) (PI)) (+ (* -11/15120 (* x x)) -23/360) (tan x) (- x (sin x)) (/ (- x (sin x)) (tan (+ (+ (+ (+ (PI) x) (PI)) (PI)) (PI)))))
5.0ms	x	@	0	((/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (* x x) (/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) (tan (+ (+ (+ (+ (PI) x) (PI)) (PI)) (PI))) (+ (+ (+ (+ (PI) x) (PI)) (PI)) (PI)) (+ (+ (+ (PI) x) (PI)) (PI)) (+ (+ (PI) x) (PI)) (+ (* -11/15120 (* x x)) -23/360) (tan x) (- x (sin x)) (/ (- x (sin x)) (tan (+ (+ (+ (+ (PI) x) (PI)) (PI)) (PI)))))

Time

Variable

Point

Expression

29.0ms

-inf

((/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (* x x) (/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) (tan (+ (+ (+ (+ (PI) x) (PI)) (PI)) (PI))) (+ (+ (+ (+ (PI) x) (PI)) (PI)) (PI)) (+ (+ (+ (PI) x) (PI)) (PI)) (+ (+ (PI) x) (PI)) (+ (* -11/15120 (* x x)) -23/360) (tan x) (- x (sin x)) (/ (- x (sin x)) (tan (+ (+ (+ (+ (PI) x) (PI)) (PI)) (PI)))))

6.0ms

inf

((/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (* x x) (/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) (tan (+ (+ (+ (+ (PI) x) (PI)) (PI)) (PI))) (+ (+ (+ (+ (PI) x) (PI)) (PI)) (PI)) (+ (+ (+ (PI) x) (PI)) (PI)) (+ (+ (PI) x) (PI)) (+ (* -11/15120 (* x x)) -23/360) (tan x) (- x (sin x)) (/ (- x (sin x)) (tan (+ (+ (+ (+ (PI) x) (PI)) (PI)) (PI)))))

5.0ms

((/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (* x x) (/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) (tan (+ (+ (+ (+ (PI) x) (PI)) (PI)) (PI))) (+ (+ (+ (+ (PI) x) (PI)) (PI)) (PI)) (+ (+ (+ (PI) x) (PI)) (PI)) (+ (+ (PI) x) (PI)) (+ (* -11/15120 (* x x)) -23/360) (tan x) (- x (sin x)) (/ (- x (sin x)) (tan (+ (+ (+ (+ (PI) x) (PI)) (PI)) (PI)))))

simplify200.0ms (1.7%)

Memory

22.1MiB live, 244.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	302	1643
1	1032	1590
2	4181	1549
0	8599	1473

Stop Event

1×	iter limit
1×	node limit

Counts

82 → 81

Calls

Call 1

Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))
(pow x 2)
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
(pow x 3)
(/ (sin (* 4 (PI))) (cos (* 4 (PI))))
(+ (* x (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2))))) (/ (sin (* 4 (PI))) (cos (* 4 (PI)))))
(+ (* x (- (+ 1 (/ (* x (* (sin (* 4 (PI))) (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2)))))) (cos (* 4 (PI))))) (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2))))) (/ (sin (* 4 (PI))) (cos (* 4 (PI)))))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (* 4 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2))))) (pow (cos (* 4 (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2))))) (* 1/6 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2)))))))) (* -1 (/ (* (sin (* 4 (PI))) (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2))))) (cos (* 4 (PI)))))))) (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2))))) (/ (sin (* 4 (PI))) (cos (* 4 (PI)))))
(* 4 (PI))
(+ x (* 4 (PI)))
(+ (PI) (* 2 (PI)))
(+ x (+ (PI) (* 2 (PI))))
(* 2 (PI))
(+ x (* 2 (PI)))
-23/360
(- (* -11/15120 (pow x 2)) 23/360)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(* 1/6 (/ (* (pow x 3) (cos (* 4 (PI)))) (sin (* 4 (PI)))))
(* (pow x 3) (+ (* -1/6 (/ (* x (* (pow (cos (* 4 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2)))))) (pow (sin (* 4 (PI))) 2))) (* 1/6 (/ (cos (* 4 (PI))) (sin (* 4 (PI)))))))
(* (pow x 3) (+ (* 1/6 (/ (cos (* 4 (PI))) (sin (* 4 (PI))))) (* x (- (* x (- (* -1/120 (/ (cos (* 4 (PI))) (sin (* 4 (PI))))) (+ (* -1/6 (/ (* (pow (cos (* 4 (PI))) 3) (pow (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2)))) 2)) (pow (sin (* 4 (PI))) 3))) (* 1/6 (/ (* (cos (* 4 (PI))) (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2))))) (sin (* 4 (PI)))))))) (* 1/6 (/ (* (pow (cos (* 4 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2))))) (pow (sin (* 4 (PI))) 2)))))))
(* (pow x 3) (+ (* 1/6 (/ (cos (* 4 (PI))) (sin (* 4 (PI))))) (* x (- (* x (- (+ (* -1 (* x (+ (* -1/6 (/ (* (pow (cos (* 4 (PI))) 2) (+ 1/6 (+ (* -1 (/ (* (pow (sin (* 4 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2))))) (pow (cos (* 4 (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2))))) (* 1/6 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2))))))) (pow (sin (* 4 (PI))) 2))) (+ (* -1/6 (/ (* (pow (cos (* 4 (PI))) 2) (pow (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2)))) 2)) (pow (sin (* 4 (PI))) 2))) (/ (* (cos (* 4 (PI))) (* (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2)))) (- (* -1/120 (/ (cos (* 4 (PI))) (sin (* 4 (PI))))) (+ (* -1/6 (/ (* (pow (cos (* 4 (PI))) 3) (pow (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2)))) 2)) (pow (sin (* 4 (PI))) 3))) (* 1/6 (/ (* (cos (* 4 (PI))) (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2))))) (sin (* 4 (PI))))))))) (sin (* 4 (PI)))))))) (* -1/120 (/ (cos (* 4 (PI))) (sin (* 4 (PI)))))) (+ (* -1/6 (/ (* (pow (cos (* 4 (PI))) 3) (pow (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2)))) 2)) (pow (sin (* 4 (PI))) 3))) (* 1/6 (/ (* (cos (* 4 (PI))) (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2))))) (sin (* 4 (PI)))))))) (* 1/6 (/ (* (pow (cos (* 4 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2))))) (pow (sin (* 4 (PI))) 2)))))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* -143/604800 (pow x 8))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 7))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 6))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 5))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 4))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* x (+ 1 (* -1 (/ (sin x) x))))
(/ (sin (+ x (* 4 (PI)))) (cos (+ x (* 4 (PI)))))
(* x (+ 1 (* 4 (/ (PI) x))))
(* x (+ 1 (+ (* 2 (/ (PI) x)) (/ (PI) x))))
(* x (+ 1 (* 2 (/ (PI) x))))
(* -11/15120 (pow x 2))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(/ (sin x) (cos x))
(/ (* x (cos (+ x (* 4 (PI))))) (sin (+ x (* 4 (PI)))))
(* x (+ (* -1 (/ (* (cos (+ x (* 4 (PI)))) (sin x)) (* x (sin (+ x (* 4 (PI))))))) (/ (cos (+ x (* 4 (PI)))) (sin (+ x (* 4 (PI)))))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6))))))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(* -1 (* x (- (/ (sin x) x) 1)))
(/ (sin (- (* 4 (PI)) (* -1 x))) (cos (- (* 4 (PI)) (* -1 x))))
(* -1 (* x (- (* -4 (/ (PI) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (PI) (* 2 (PI))) x)) 1)))
(* -1 (* x (- (* -2 (/ (PI) x)) 1)))
(/ (* x (cos (- (* 4 (PI)) (* -1 x)))) (sin (- (* 4 (PI)) (* -1 x))))
(* -1 (* x (+ (* -1 (/ (cos (- (* 4 (PI)) (* -1 x))) (sin (- (* 4 (PI)) (* -1 x))))) (/ (* (cos (- (* 4 (PI)) (* -1 x))) (sin x)) (* x (sin (- (* 4 (PI)) (* -1 x))))))))

Outputs
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -23/360 (pow x 2)))
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(pow x 2)
(*.f64 x x)
(* 1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x x) #s(literal -1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(/ (sin (* 4 (PI))) (cos (* 4 (PI))))
(/.f64 (sin.f64 (.f64 (PI.f64) #s(literal 4 binary64))) (cos.f64 (.f64 #s(literal -4 binary64) (PI.f64))))
(+ (* x (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2))))) (/ (sin (* 4 (PI))) (cos (* 4 (PI)))))
(fma.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 1 binary64)) x (/.f64 (sin.f64 (.f64 (PI.f64) #s(literal 4 binary64))) (cos.f64 (.f64 #s(literal -4 binary64) (PI.f64)))))
(+ (* x (- (+ 1 (/ (* x (* (sin (* 4 (PI))) (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2)))))) (cos (* 4 (PI))))) (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2))))) (/ (sin (* 4 (PI))) (cos (* 4 (PI)))))
(fma.f64 (+.f64 (/.f64 (fma.f64 (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 4 binary64))) x) (+.f64 (/.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal -4 binary64) (PI.f64))))) (cos.f64 (.f64 #s(literal -4 binary64) (PI.f64)))) #s(literal 1 binary64)) x (/.f64 (sin.f64 (.f64 (PI.f64) #s(literal 4 binary64))) (cos.f64 (*.f64 #s(literal -4 binary64) (PI.f64)))))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (* 4 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2))))) (pow (cos (* 4 (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2))))) (* 1/6 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2)))))))) (* -1 (/ (* (sin (* 4 (PI))) (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2))))) (cos (* 4 (PI)))))))) (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2))))) (/ (sin (* 4 (PI))) (cos (* 4 (PI)))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 (.f64 #s(literal -4 binary64) (PI.f64)))) (sin.f64 (.f64 (PI.f64) #s(literal 4 binary64))) (.f64 (neg.f64 x) (+.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/6 binary64) (.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 1 binary64)))) (pow.f64 (cos.f64 (.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 2 binary64)))) #s(literal 1/6 binary64)))) x (+.f64 (/.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 1 binary64))) x (/.f64 (sin.f64 (.f64 (PI.f64) #s(literal 4 binary64))) (cos.f64 (*.f64 #s(literal -4 binary64) (PI.f64)))))
(* 4 (PI))
(*.f64 (PI.f64) #s(literal 4 binary64))
(+ x (* 4 (PI)))
(fma.f64 (PI.f64) #s(literal 4 binary64) x)
(+ (PI) (* 2 (PI)))
(*.f64 (PI.f64) #s(literal 3 binary64))
(+ x (+ (PI) (* 2 (PI))))
(fma.f64 (PI.f64) #s(literal 3 binary64) x)
(* 2 (PI))
(*.f64 (PI.f64) #s(literal 2 binary64))
(+ x (* 2 (PI)))
(fma.f64 (PI.f64) #s(literal 2 binary64) x)
-23/360
#s(literal -23/360 binary64)
(- (* -11/15120 (pow x 2)) 23/360)
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(* 1/6 (/ (* (pow x 3) (cos (* 4 (PI)))) (sin (* 4 (PI)))))
(/.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) (cos.f64 (.f64 #s(literal -4 binary64) (PI.f64)))) (sin.f64 (.f64 (PI.f64) #s(literal 4 binary64))))
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(/ (* x (cos x)) (sin x))
(*.f64 (cos.f64 x) (/.f64 x (sin.f64 x)))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
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(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -143/604800 binary64))
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(.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 23/360 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x)) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 143/604800 binary64)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 23/360 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x)) (pow.f64 x #s(literal 8 binary64)))
(* -143/604800 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -143/604800 binary64))
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(* -143/604800 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -143/604800 binary64))
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(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
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(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x)
(/ (sin (+ x (* 4 (PI)))) (cos (+ x (* 4 (PI)))))
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(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
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(*.f64 (/.f64 (fma.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 4 binary64) x)) (/.f64 (sin.f64 x) (neg.f64 x)) (cos.f64 (fma.f64 (PI.f64) #s(literal 4 binary64) x))) (sin.f64 (fma.f64 (PI.f64) #s(literal 4 binary64) x))) x)

rewrite214.0ms (1.8%)

Memory

0.6MiB live, 249.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	254
0	68	244
1	299	238
2	2719	238
0	8796	234

Stop Event

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

Counts

23 → 658

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 x #s(literal 3 binary64))
(tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) (PI.f64)))
(+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) (PI.f64))
(+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))
(+.f64 (+.f64 (PI.f64) x) (PI.f64))
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
(tan.f64 x)
(-.f64 x (sin.f64 x))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) (PI.f64))))

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
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(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(.f64 (.f64 x x) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))
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(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 x (sin.f64 x))))) (neg.f64 (neg.f64 (neg.f64 (tan.f64 x)))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (sin.f64 x) x) (tan.f64 x))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (*.f64 x x)) (tan.f64 x))))
(/.f64 (neg.f64 (-.f64 (.f64 x (tan.f64 x)) (.f64 (tan.f64 x) (sin.f64 x)))) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (neg.f64 x) (neg.f64 (sin.f64 x))) (neg.f64 (tan.f64 x)))
(/.f64 (.f64 (-.f64 (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal -1 binary64))) (+.f64 (sin.f64 x) x))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (pow.f64 (tan.f64 x) #s(literal -1 binary64))) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (.f64 x x)))
(/.f64 (*.f64 (-.f64 x (sin.f64 x)) #s(literal 1 binary64)) (tan.f64 x))
(/.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (sin.f64 x) (tan.f64 x)) #s(literal 2 binary64))) (+.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 x) (tan.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x (tan.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (sin.f64 x) (tan.f64 x)) #s(literal 2 binary64)) (*.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x))))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (.f64 (+.f64 (sin.f64 x) x) (tan.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (neg.f64 (.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (.f64 x x)) (tan.f64 x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 x (sin.f64 x)))) (neg.f64 (neg.f64 (tan.f64 x))))
(/.f64 (.f64 (-.f64 (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (sin.f64 x) x) (tan.f64 x)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (*.f64 x x)) (tan.f64 x)))
(/.f64 (-.f64 (.f64 x (tan.f64 x)) (.f64 (tan.f64 x) (sin.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (.f64 (+.f64 (sin.f64 x) x) (tan.f64 x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (.f64 x x)) (tan.f64 x)))
(/.f64 (neg.f64 (-.f64 x (sin.f64 x))) (neg.f64 (tan.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(neg.f64 (/.f64 (neg.f64 (-.f64 x (sin.f64 x))) (tan.f64 x)))
(neg.f64 (/.f64 (-.f64 x (sin.f64 x)) (neg.f64 (tan.f64 x))))
(fma.f64 (/.f64 x (+.f64 #s(literal 0 binary64) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x))) (neg.f64 (/.f64 (sin.f64 x) (tan.f64 x))))
(fma.f64 (/.f64 x (+.f64 #s(literal 0 binary64) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x))) (/.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)))
(fma.f64 (/.f64 x (neg.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 x)))))) (neg.f64 (neg.f64 (neg.f64 (neg.f64 (cos.f64 x))))) (neg.f64 (/.f64 (sin.f64 x) (tan.f64 x))))
(fma.f64 (/.f64 x (neg.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 x)))))) (neg.f64 (neg.f64 (neg.f64 (neg.f64 (cos.f64 x))))) (/.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)))
(fma.f64 (/.f64 x (sin.f64 x)) (cos.f64 x) (neg.f64 (/.f64 (sin.f64 x) (tan.f64 x))))
(fma.f64 (/.f64 x (sin.f64 x)) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)))
(fma.f64 x (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (neg.f64 (/.f64 (sin.f64 x) (tan.f64 x))))
(fma.f64 x (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)))
(-.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) #s(literal -1 binary64)))
(+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (/.f64 (sin.f64 x) (tan.f64 x))))
(+.f64 (/.f64 x (tan.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)))

eval159.0ms (1.3%)

Memory: -2.1MiB live, 196.8MiB allocated
Compiler: Compiled 22 423 to 3 557 computations (84.1% saved)

prune26.0ms (0.2%)

Memory

-3.2MiB live, 74.5MiB allocated

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	788	12	800
Fresh	3	1	4
Picked	2	3	5
Done	0	1	1
Total	793	17	810

Accuracy

100.0%

Counts

810 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.5%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 #s(approx (+ (+ (+ (+ (PI) x) (PI)) (PI)) (PI)) (fma.f64 (PI.f64) #s(literal 4 binary64) x))))
✓	55.5%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
✓	86.3%	(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
▶	86.3%	(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (tan.f64 x))
	86.3%	(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 x x) (*.f64 #s(literal 1/6 binary64) x))) (tan.f64 x))
▶	86.2%	(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))))
	55.5%	(+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x)))
	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
▶	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
▶	99.2%	#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64)))
	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) x))
✓	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(approx (+ (* -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
▶	99.2%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
✓	99.2%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
	79.0%	#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64)))

Compiler

Compiled 628 to 406 computations (35.4% saved)

simplify143.0ms (1.2%)

Memory

15.6MiB live, 136.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
cost-diff	0	(tan.f64 x)
cost-diff	0	(/.f64 (tan.f64 x) #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))))
cost-diff	2	(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))))
cost-diff	0	(.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))
cost-diff	0	#s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
cost-diff	0	(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (tan.f64 x))
cost-diff	2	(.f64 (.f64 x x) x)
cost-diff	0	(pow.f64 x #s(literal 2 binary64))
cost-diff	0	(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64)))
cost-diff	0	#s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64))
cost-diff	0	(.f64 #s(approx (+ ( (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
cost-diff	0	(.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
cost-diff	0	(fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	315
0	64	293
1	120	293
2	288	293
3	1095	293
4	4073	293
5	7670	293
0	8360	293

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64))
(fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))
(*.f64 x x)
x
#s(literal -143/604800 binary64)
#s(literal -11/15120 binary64)
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(.f64 #s(approx (+ ( (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
x
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
#s(literal 1/6 binary64)
(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (tan.f64 x))
#s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))
(.f64 (.f64 x x) x)
(*.f64 x x)
x
#s(literal 1/6 binary64)
(tan.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))))
#s(literal 1 binary64)
(/.f64 (tan.f64 x) #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))))
(tan.f64 x)
x
#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 1/6 binary64)

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64))
(fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64))
(fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))
(fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64))
(*.f64 x x)
x
#s(literal -143/604800 binary64)
#s(literal -11/15120 binary64)
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(.f64 #s(approx (+ ( (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
x
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(pow.f64 x #s(literal 2 binary64))
(*.f64 x x)
x
#s(literal 2 binary64)
#s(literal 1/6 binary64)
(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (tan.f64 x))
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
#s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(.f64 (.f64 x x) x)
(pow.f64 x #s(literal 3 binary64))
(*.f64 x x)
x
#s(literal 1/6 binary64)
(tan.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))))
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
#s(literal 1 binary64)
(/.f64 (tan.f64 x) #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))))
(tan.f64 x)
x
#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 1/6 binary64)

localize348.0ms (3%)

Memory

-14.0MiB live, 427.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.09765625	(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
accuracy	0.3023344947575898	#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
accuracy	0.9117500753231996	(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))))
accuracy	7.652373222916634	(/.f64 (tan.f64 x) #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))))
accuracy	0.0625	(.f64 (.f64 x x) x)
accuracy	0.09765625	(.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))
accuracy	0.3023344947575898	#s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
accuracy	8.444543497477577	(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (tan.f64 x))
accuracy	0.0078125	(pow.f64 x #s(literal 2 binary64))
accuracy	0.15625	(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))
accuracy	0.3469209701395257	#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64)))
accuracy	0.072051312975979	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
accuracy	0.1171875	(.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
accuracy	0.31640625	(.f64 #s(approx (+ ( (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
accuracy	0.3469719600284574	#s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64))
accuracy	0.00390625	(fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))
accuracy	0.0078125	(fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
accuracy	0.072051312975979	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
accuracy	0.1640625	(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))

Samples

210.0ms	150×	2	valid
58.0ms	24×	3	valid
45.0ms	80×	1	valid
1.0ms	2×	0	valid

Compiler

Compiled 548 to 84 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 244.0ms

ival-sin: 80.0ms (32.8% of total)

ival-mult: 38.0ms (15.6% of total)

ival-div: 36.0ms (14.7% of total)

adjust: 28.0ms (11.5% of total)

ival-add: 27.0ms (11.1% of total)

const: 23.0ms (9.4% of total)

ival-sub: 4.0ms (1.6% of total)

ival-pow: 3.0ms (1.2% of total)

ival-pow2: 3.0ms (1.2% of total)

ival-tan: 2.0ms (0.8% of total)

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

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

exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory

20.8MiB live, 20.8MiB allocated

Counts

21 → 63

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(.f64 #s(approx (+ ( (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))
(pow.f64 x #s(literal 2 binary64))
(.f64 (.f64 x x) x)
(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (tan.f64 x))
#s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))))
(/.f64 (tan.f64 x) #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))))
(tan.f64 x)
#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))

Outputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))
-23/360
(- (* -11/15120 (pow x 2)) 23/360)
(- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(pow x 2)
(pow x 3)
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
(/ 6 (pow x 2))
(/ (+ 6 (* 23/10 (pow x 2))) (pow x 2))
(/ (+ 6 (* (pow x 2) (+ 23/10 (* 1271/1400 (pow x 2))))) (pow x 2))
(/ (+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 1271/1400 (* 46187/126000 (pow x 2))))))) (pow x 2))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
-11/15120
(- (* -143/604800 (pow x 2)) 11/15120)
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* -143/604800 (pow x 8))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 6))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 4))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* -143/604800 (pow x 7))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* x (+ 1 (* -1 (/ (sin x) x))))
(/ (sin x) (* x (cos x)))
(/ (+ (/ (sin x) (cos x)) (/ (pow (sin x) 2) (* x (cos x)))) x)
(/ (- (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (* (pow x 2) (cos x)))) (* -1 (/ (pow (sin x) 2) (* x (cos x))))) x)
(/ (- (+ (/ (sin x) (cos x)) (/ (pow (sin x) 4) (* (pow x 3) (cos x)))) (+ (* -1 (/ (pow (sin x) 2) (* x (cos x)))) (* -1 (/ (pow (sin x) 3) (* (pow x 2) (cos x)))))) x)
(/ (sin x) (cos x))
(* -143/604800 (pow x 2))
(* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6))))))
(* -1 (* x (- (/ (sin x) x) 1)))
(* -1 (/ (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 2) (* x (cos x))))) x))
(* -1 (/ (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (+ (/ (pow (sin x) 2) (cos x)) (/ (pow (sin x) 3) (* x (cos x)))) x))) x))
(* -1 (/ (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (sin x) 3) (cos x))) (* -1 (/ (pow (sin x) 4) (* x (cos x))))) x)) (/ (pow (sin x) 2) (cos x))) x))) x))

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

-inf

((/ (- x (sin x)) (tan x)) (* (+ (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (* x x)) (+ (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) (/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (pow x 2) 1/6) (pow x 2) (* (* x x) x) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (* (* x x) x) 1/6) (/ 1 (/ (tan x) (- x (sin x)))) (/ (tan x) (- x (sin x))) (tan x) (- x (sin x)) (+ (* (* x x) -143/604800) -11/15120) (* (pow x 3) 1/6))

3.0ms

inf

((/ (- x (sin x)) (tan x)) (* (+ (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (* x x)) (+ (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) (/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (pow x 2) 1/6) (pow x 2) (* (* x x) x) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (* (* x x) x) 1/6) (/ 1 (/ (tan x) (- x (sin x)))) (/ (tan x) (- x (sin x))) (tan x) (- x (sin x)) (+ (* (* x x) -143/604800) -11/15120) (* (pow x 3) 1/6))

2.0ms

((/ (- x (sin x)) (tan x)) (* (+ (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (* x x)) (+ (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) (/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (pow x 2) 1/6) (pow x 2) (* (* x x) x) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (* (* x x) x) 1/6) (/ 1 (/ (tan x) (- x (sin x)))) (/ (tan x) (- x (sin x))) (tan x) (- x (sin x)) (+ (* (* x x) -143/604800) -11/15120) (* (pow x 3) 1/6))

simplify172.0ms (1.5%)

Memory

-9.3MiB live, 184.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	205	842
1	725	798
2	2716	764
0	8311	722

Stop Event

1×	iter limit
1×	node limit

Counts

63 → 62

Calls

Call 1

Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))
-23/360
(- (* -11/15120 (pow x 2)) 23/360)
(- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(pow x 2)
(pow x 3)
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
(/ 6 (pow x 2))
(/ (+ 6 (* 23/10 (pow x 2))) (pow x 2))
(/ (+ 6 (* (pow x 2) (+ 23/10 (* 1271/1400 (pow x 2))))) (pow x 2))
(/ (+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 1271/1400 (* 46187/126000 (pow x 2))))))) (pow x 2))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
-11/15120
(- (* -143/604800 (pow x 2)) 11/15120)
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* -143/604800 (pow x 8))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 6))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 4))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* -143/604800 (pow x 7))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* x (+ 1 (* -1 (/ (sin x) x))))
(/ (sin x) (* x (cos x)))
(/ (+ (/ (sin x) (cos x)) (/ (pow (sin x) 2) (* x (cos x)))) x)
(/ (- (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (* (pow x 2) (cos x)))) (* -1 (/ (pow (sin x) 2) (* x (cos x))))) x)
(/ (- (+ (/ (sin x) (cos x)) (/ (pow (sin x) 4) (* (pow x 3) (cos x)))) (+ (* -1 (/ (pow (sin x) 2) (* x (cos x)))) (* -1 (/ (pow (sin x) 3) (* (pow x 2) (cos x)))))) x)
(/ (sin x) (cos x))
(* -143/604800 (pow x 2))
(* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6))))))
(* -1 (* x (- (/ (sin x) x) 1)))
(* -1 (/ (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 2) (* x (cos x))))) x))
(* -1 (/ (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (+ (/ (pow (sin x) 2) (cos x)) (/ (pow (sin x) 3) (* x (cos x)))) x))) x))
(* -1 (/ (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (sin x) 3) (cos x))) (* -1 (/ (pow (sin x) 4) (* x (cos x))))) x)) (/ (pow (sin x) 2) (cos x))) x))) x))

Outputs
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -23/360 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))
(fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
-23/360
#s(literal -23/360 binary64)
(- (* -11/15120 (pow x 2)) 23/360)
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)
(fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
(pow x 2)
(*.f64 x x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* 1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x x) #s(literal -1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ (+ 6 (* 23/10 (pow x 2))) (pow x 2))
(-.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -23/10 binary64))
(/ (+ 6 (* (pow x 2) (+ 23/10 (* 1271/1400 (pow x 2))))) (pow x 2))
(+.f64 #s(literal 23/10 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1271/1400 binary64) #s(literal 6 binary64)) (*.f64 x x)))
(/ (+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 1271/1400 (* 46187/126000 (pow x 2))))))) (pow x 2))
(+.f64 #s(literal 23/10 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 46187/126000 binary64) (.f64 x x) #s(literal 1271/1400 binary64)) #s(literal 6 binary64)) (.f64 x x)))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
-11/15120
#s(literal -11/15120 binary64)
(- (* -143/604800 (pow x 2)) 11/15120)
(fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))
(/ (* x (cos x)) (sin x))
(*.f64 (cos.f64 x) (/.f64 x (sin.f64 x)))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) x)) x)
(* -143/604800 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -143/604800 binary64))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 143/604800 binary64)) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (-.f64 (/.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 11/15120 binary64) (.f64 x x)) #s(literal 143/604800 binary64))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 143/604800 binary64)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 23/360 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x)) (pow.f64 x #s(literal 8 binary64)))
(* -143/604800 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -143/604800 binary64))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 143/604800 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (-.f64 (/.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 11/15120 binary64) (.f64 x x)) #s(literal 143/604800 binary64))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 143/604800 binary64)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 23/360 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x)) (pow.f64 x #s(literal 6 binary64)))
(* -143/604800 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -143/604800 binary64))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 143/604800 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (-.f64 (/.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 11/15120 binary64) (.f64 x x)) #s(literal 143/604800 binary64))) (pow.f64 x #s(literal 4 binary64)))
(* -143/604800 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -143/604800 binary64))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 143/604800 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (-.f64 (/.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 11/15120 binary64) (.f64 x x)) #s(literal 143/604800 binary64))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 143/604800 binary64)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 23/360 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x)))
(* x (+ 1 (* -1 (/ (sin x) x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x)
(/ (sin x) (* x (cos x)))
(/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x))
(/ (+ (/ (sin x) (cos x)) (/ (pow (sin x) 2) (* x (cos x)))) x)
(/.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) x) (sin.f64 x)) (*.f64 (cos.f64 x) x))
(/ (- (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (* (pow x 2) (cos x)))) (* -1 (/ (pow (sin x) 2) (* x (cos x))))) x)
(/.f64 (/.f64 (fma.f64 (+.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) (sin.f64 x)) (cos.f64 x)) x)
(/ (- (+ (/ (sin x) (cos x)) (/ (pow (sin x) 4) (* (pow x 3) (cos x)))) (+ (* -1 (/ (pow (sin x) 2) (* x (cos x)))) (* -1 (/ (pow (sin x) 3) (* (pow x 2) (cos x)))))) x)
(/.f64 (/.f64 (fma.f64 (+.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) (sin.f64 x))) (cos.f64 x)) x)
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(* -143/604800 (pow x 2))
(.f64 (.f64 x x) #s(literal -143/604800 binary64))
(* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) x)) x)
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (-.f64 (/.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 11/15120 binary64) (.f64 x x)) #s(literal 143/604800 binary64))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 143/604800 binary64)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 23/360 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x)))
(* -1 (* x (- (/ (sin x) x) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x)
(* -1 (/ (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 2) (* x (cos x))))) x))
(/.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) x) (sin.f64 x)) (*.f64 (cos.f64 x) x))
(* -1 (/ (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (+ (/ (pow (sin x) 2) (cos x)) (/ (pow (sin x) 3) (* x (cos x)))) x))) x))
(/.f64 (/.f64 (fma.f64 (+.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) (sin.f64 x)) (cos.f64 x)) x)
(* -1 (/ (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (sin x) 3) (cos x))) (* -1 (/ (pow (sin x) 4) (* x (cos x))))) x)) (/ (pow (sin x) 2) (cos x))) x))) x))
(/.f64 (fma.f64 (+.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (cos.f64 x)) (*.f64 x x))) x)

rewrite252.0ms (2.1%)

Memory

-2.6MiB live, 280.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	288
0	64	266
1	252	266
2	1251	266
0	8551	266

Stop Event

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

Counts

21 → 564

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(.f64 #s(approx (+ ( (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))
(pow.f64 x #s(literal 2 binary64))
(.f64 (.f64 x x) x)
(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (tan.f64 x))
#s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))))
(/.f64 (tan.f64 x) #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))))
(tan.f64 x)
#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (.f64 x x)) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 #s(literal 1/6 binary64) x))) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 x x) (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 x x) (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64))) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 #s(literal 1/6 binary64) x))) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 121/228614400 binary64) (-.f64 (.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal 1573/9144576000 binary64)))) (fma.f64 #s(literal -2924207/221225582592000000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1331/3456649728000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64))))
(fma.f64 (*.f64 #s(literal -143/604800 binary64) (neg.f64 x)) (neg.f64 x) #s(literal -11/15120 binary64))
(fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64))
(fma.f64 (.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal 11/15120 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 121/228614400 binary64) (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal 11/15120 binary64)))))
(fma.f64 (.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal 11/15120 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -121/228614400 binary64) (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal 11/15120 binary64))))
(fma.f64 (.f64 #s(literal -2924207/221225582592000000 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 121/228614400 binary64) (.f64 (.f64 x x) #s(literal 1573/9144576000 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal -1331/3456649728000 binary64) (fma.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 121/228614400 binary64) (.f64 (*.f64 x x) #s(literal 1573/9144576000 binary64))))))
(fma.f64 #s(literal -1331/3456649728000 binary64) (pow.f64 (fma.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 121/228614400 binary64) (.f64 (.f64 x x) #s(literal 1573/9144576000 binary64)))) #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -2924207/221225582592000000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 121/228614400 binary64) (.f64 (*.f64 x x) #s(literal 1573/9144576000 binary64))))))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64))
(fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64))
(fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))
(fma.f64 x (*.f64 #s(literal -143/604800 binary64) x) #s(literal -11/15120 binary64))
(-.f64 (/.f64 #s(literal 121/228614400 binary64) (-.f64 #s(literal -11/15120 binary64) (.f64 #s(literal -143/604800 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -11/15120 binary64) (.f64 #s(literal -143/604800 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal 11/15120 binary64))) (/.f64 #s(literal 121/228614400 binary64) (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal 11/15120 binary64))))
(-.f64 #s(literal -11/15120 binary64) (.f64 (neg.f64 (.f64 #s(literal -143/604800 binary64) (neg.f64 x))) (neg.f64 x)))
(-.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 (neg.f64 x) #s(literal -143/604800 binary64))))
(-.f64 #s(literal -11/15120 binary64) (.f64 (neg.f64 (.f64 #s(literal -143/604800 binary64) x)) x))
(-.f64 #s(literal -11/15120 binary64) (.f64 (.f64 (neg.f64 x) x) #s(literal -143/604800 binary64)))
(-.f64 #s(literal -11/15120 binary64) (.f64 (neg.f64 x) (.f64 #s(literal -143/604800 binary64) x)))
(-.f64 #s(literal -11/15120 binary64) (.f64 #s(literal 143/604800 binary64) (.f64 x x)))
(+.f64 (/.f64 (.f64 #s(literal -2924207/221225582592000000 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 121/228614400 binary64) (-.f64 (.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 x x) #s(literal 1573/9144576000 binary64))))) (/.f64 #s(literal -1331/3456649728000 binary64) (+.f64 #s(literal 121/228614400 binary64) (-.f64 (.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal 1573/9144576000 binary64))))))
(+.f64 (/.f64 #s(literal -1331/3456649728000 binary64) (+.f64 #s(literal 121/228614400 binary64) (-.f64 (.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 x x) #s(literal 1573/9144576000 binary64))))) (/.f64 (.f64 #s(literal -2924207/221225582592000000 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 121/228614400 binary64) (-.f64 (.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal 1573/9144576000 binary64))))))
(+.f64 (/.f64 #s(literal -1331/3456649728000 binary64) (fma.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 121/228614400 binary64) (.f64 (.f64 x x) #s(literal 1573/9144576000 binary64))))) (/.f64 (.f64 #s(literal -2924207/221225582592000000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 121/228614400 binary64) (.f64 (*.f64 x x) #s(literal 1573/9144576000 binary64))))))
(+.f64 (/.f64 (.f64 #s(literal -2924207/221225582592000000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 121/228614400 binary64) (.f64 (.f64 x x) #s(literal 1573/9144576000 binary64))))) (/.f64 #s(literal -1331/3456649728000 binary64) (fma.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 121/228614400 binary64) (.f64 (*.f64 x x) #s(literal 1573/9144576000 binary64))))))
(+.f64 (/.f64 (.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal 11/15120 binary64))) (neg.f64 (/.f64 #s(literal 121/228614400 binary64) (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal 11/15120 binary64)))))
(+.f64 (/.f64 (.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal 11/15120 binary64))) (/.f64 #s(literal -121/228614400 binary64) (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal 11/15120 binary64))))
(+.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal -11/15120 binary64))
(+.f64 #s(literal -11/15120 binary64) (neg.f64 (.f64 (neg.f64 (.f64 #s(literal -143/604800 binary64) x)) x)))
(+.f64 #s(literal -11/15120 binary64) (neg.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal -143/604800 binary64))))
(+.f64 #s(literal -11/15120 binary64) (neg.f64 (.f64 (neg.f64 x) (.f64 #s(literal -143/604800 binary64) x))))
(+.f64 #s(literal -11/15120 binary64) (neg.f64 (.f64 #s(literal 143/604800 binary64) (.f64 x x))))
(+.f64 #s(literal -11/15120 binary64) (.f64 #s(literal -143/604800 binary64) (.f64 x x)))
(.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 #s(literal 1/6 binary64) x) (*.f64 x x))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/6 binary64)))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (*.f64 #s(literal 1/6 binary64) x)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 (.f64 x x) (*.f64 #s(literal 1/6 binary64) x))
(.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x)))

eval124.0ms (1.1%)

Memory: 17.7MiB live, 178.6MiB allocated
Compiler: Compiled 22 746 to 2 518 computations (88.9% saved)

prune28.0ms (0.2%)

Memory

-3.3MiB live, 72.0MiB allocated

Pruning

18 alts after pruning (11 fresh and 7 done)

	Pruned	Kept	Total
New	586	7	593
Fresh	4	4	8
Picked	1	4	5
Done	1	3	4
Total	592	18	610

Accuracy

100.0%

Counts

610 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.5%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 #s(approx (+ (+ (+ (+ (PI) x) (PI)) (PI)) (PI)) (fma.f64 (PI.f64) #s(literal 4 binary64) x))))
✓	55.5%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
	86.1%	(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (.f64 (sqrt.f64 x) x) (.f64 (sqrt.f64 x) x)) #s(literal 1/6 binary64))) (tan.f64 x))
✓	86.3%	(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (tan.f64 x))
	98.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ (tan x) (- x (sin x))) (/.f64 #s(literal 6 binary64) (*.f64 x x))))
▶	98.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ (tan x) (- x (sin x))) (-.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -23/10 binary64))))
	55.5%	(+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x)))
▶	28.4%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 x x))) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (-.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))))
	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
▶	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))))
✓	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
▶	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
✓	99.2%	#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64)))
	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) x))
	99.3%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) #s(literal 6 binary64)) #s(literal 1/46656 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) #s(literal 4 binary64)) (+.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x)))
✓	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
✓	99.2%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
✓	99.2%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

Compiler

Compiled 912 to 466 computations (48.9% saved)

simplify176.0ms (1.5%)

Memory

-4.4MiB live, 109.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(tan.f64 #s(approx (+ (+ (+ (+ (PI) x) (PI)) (PI)) (PI)) (fma.f64 (PI.f64) #s(literal 4 binary64) x)))
cost-diff	0	(sin.f64 x)
cost-diff	0	(-.f64 x (sin.f64 x))
cost-diff	0	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 #s(approx (+ (+ (+ (+ (PI) x) (PI)) (PI)) (PI)) (fma.f64 (PI.f64) #s(literal 4 binary64) x))))
cost-diff	4	(.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 x x))
cost-diff	5	(-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 x x))) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
cost-diff	6	(.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
cost-diff	31	(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 x x))) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (-.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
cost-diff	0	(/.f64 #s(literal 6 binary64) (*.f64 x x))
cost-diff	0	(-.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -23/10 binary64))
cost-diff	0	#s(approx (/ (tan x) (- x (sin x))) (-.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -23/10 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ (tan x) (- x (sin x))) (-.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -23/10 binary64))))
cost-diff	0	#s(approx (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64))
cost-diff	0	(fma.f64 #s(approx (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
cost-diff	0	(.f64 (fma.f64 #s(approx (+ ( (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))))
cost-diff	2	(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	687
0	89	653
1	209	611
2	863	519
3	4509	519
0	8177	514

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))))
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))))
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64))
(fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64))
#s(literal -143/604800 binary64)
#s(literal -11/15120 binary64)
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
(.f64 (fma.f64 #s(approx (+ ( (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x))
(fma.f64 #s(approx (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
#s(approx (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64))
#s(literal -23/360 binary64)
(*.f64 x x)
x
#s(literal 1/6 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (/ (tan x) (- x (sin x))) (-.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -23/10 binary64))))
#s(literal 1 binary64)
#s(approx (/ (tan x) (- x (sin x))) (-.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -23/10 binary64)))
(-.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -23/10 binary64))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
#s(literal 6 binary64)
(*.f64 x x)
x
#s(literal -23/10 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 x x))) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (-.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 x x))) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (-.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
(-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 x x))) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
(.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (*.f64 x x)))
(.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 x x))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x)
(fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64))
(fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64))
#s(literal -143/604800 binary64)
(*.f64 x x)
x
#s(literal -11/15120 binary64)
#s(literal -23/360 binary64)
(.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
#s(literal 1/6 binary64)
(-.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 #s(approx (+ (+ (+ (+ (PI) x) (PI)) (PI)) (PI)) (fma.f64 (PI.f64) #s(literal 4 binary64) x))))
(-.f64 x (sin.f64 x))
x
(sin.f64 x)
(tan.f64 #s(approx (+ (+ (+ (+ (PI) x) (PI)) (PI)) (PI)) (fma.f64 (PI.f64) #s(literal 4 binary64) x)))
#s(approx (+ (+ (+ (+ (PI) x) (PI)) (PI)) (PI)) (fma.f64 (PI.f64) #s(literal 4 binary64) x))
(fma.f64 (PI.f64) #s(literal 4 binary64) x)
(PI.f64)
#s(literal 4 binary64)

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64))
(fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64))
#s(literal -143/604800 binary64)
#s(literal -11/15120 binary64)
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (fma.f64 #s(approx (+ ( (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x))
(.f64 (.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(fma.f64 #s(approx (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
#s(approx (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64))
#s(literal -23/360 binary64)
(*.f64 x x)
x
#s(literal 1/6 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (/ (tan x) (- x (sin x))) (-.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -23/10 binary64))))
#s(literal 1 binary64)
#s(approx (/ (tan x) (- x (sin x))) (-.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -23/10 binary64)))
(-.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -23/10 binary64))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
#s(literal 6 binary64)
(*.f64 x x)
x
#s(literal -23/10 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 x x))) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (-.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 x x))) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (-.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
(.f64 (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) #s(literal 1 binary64))
(-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 x x))) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
(.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64))) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 4 binary64)))
(.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (*.f64 x x)))
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64))))
(.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 x x))
(.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x)
(fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64))
(fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64))
#s(literal -143/604800 binary64)
(*.f64 x x)
x
#s(literal -11/15120 binary64)
#s(literal -23/360 binary64)
(.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
#s(literal 1/6 binary64)
(-.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal -1/6 binary64)) x) x)
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 #s(approx (+ (+ (+ (+ (PI) x) (PI)) (PI)) (PI)) (fma.f64 (PI.f64) #s(literal 4 binary64) x))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 #s(approx (+ (+ (+ (+ (PI) x) (PI)) (PI)) (PI)) (fma.f64 #s(literal 4 binary64) (PI.f64) x))))
(-.f64 x (sin.f64 x))
x
(sin.f64 x)
(tan.f64 #s(approx (+ (+ (+ (+ (PI) x) (PI)) (PI)) (PI)) (fma.f64 (PI.f64) #s(literal 4 binary64) x)))
(tan.f64 #s(approx (+ (+ (+ (+ (PI) x) (PI)) (PI)) (PI)) (fma.f64 #s(literal 4 binary64) (PI.f64) x)))
#s(approx (+ (+ (+ (+ (PI) x) (PI)) (PI)) (PI)) (fma.f64 (PI.f64) #s(literal 4 binary64) x))
#s(approx (+ (+ (+ (+ (PI) x) (PI)) (PI)) (PI)) (fma.f64 #s(literal 4 binary64) (PI.f64) x))
(fma.f64 (PI.f64) #s(literal 4 binary64) x)
(fma.f64 #s(literal 4 binary64) (PI.f64) x)
(PI.f64)
#s(literal 4 binary64)

localize950.0ms (8.1%)

Memory

11.2MiB live, 848.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(fma.f64 (PI.f64) #s(literal 4 binary64) x)
accuracy	8.444543497477577	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 #s(approx (+ (+ (+ (+ (PI) x) (PI)) (PI)) (PI)) (fma.f64 (PI.f64) #s(literal 4 binary64) x))))
accuracy	19.69023063911361	(-.f64 x (sin.f64 x))
accuracy	61.39447190115855	(tan.f64 #s(approx (+ (+ (+ (+ (PI) x) (PI)) (PI)) (PI)) (fma.f64 (PI.f64) #s(literal 4 binary64) x)))
accuracy	0.109375	(.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 x x))
accuracy	0.15625	(.f64 #s(literal 1/6 binary64) (.f64 x x))
accuracy	0.48828125	(.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x)
accuracy	45.27337026935851	(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 x x))) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (-.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
accuracy	0.0	(*.f64 x x)
accuracy	0.10546875	(/.f64 #s(literal 6 binary64) (*.f64 x x))
accuracy	0.20398412751433076	#s(approx (/ (tan x) (- x (sin x))) (-.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -23/10 binary64)))
accuracy	0.9117500753231996	(/.f64 #s(literal 1 binary64) #s(approx (/ (tan x) (- x (sin x))) (-.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -23/10 binary64))))
accuracy	0.0078125	(fma.f64 #s(approx (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
accuracy	0.072051312975979	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
accuracy	0.1640625	(.f64 (fma.f64 #s(approx (+ ( (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x))
accuracy	0.27596263647678054	#s(approx (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64))
accuracy	0.00390625	(fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64))
accuracy	0.0078125	(fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
accuracy	0.072051312975979	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))))
accuracy	0.11328125	(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))))

Samples

577.0ms	150×	2	valid
205.0ms	80×	1	valid
117.0ms	24×	3	valid
1.0ms	2×	0	valid

Compiler

Compiled 1 253 to 112 computations (91.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 822.0ms

ival-tan: 285.0ms (34.7% of total)

ival-sin: 164.0ms (20% of total)

ival-add: 146.0ms (17.8% of total)

ival-pi: 73.0ms (8.9% of total)

adjust: 46.0ms (5.6% of total)

ival-mult: 41.0ms (5% of total)

ival-div: 28.0ms (3.4% of total)

const: 27.0ms (3.3% of total)

ival-sub: 11.0ms (1.3% of total)

exact: 1.0ms (0.1% of total)

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

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

series14.0ms (0.1%)

Memory

15.1MiB live, 15.1MiB allocated

Counts

25 → 99

Calls

Call 1

Inputs
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))))
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
(.f64 (fma.f64 #s(approx (+ ( (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x))
(fma.f64 #s(approx (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
#s(approx (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ (tan x) (- x (sin x))) (-.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -23/10 binary64))))
#s(approx (/ (tan x) (- x (sin x))) (-.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -23/10 binary64)))
(-.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -23/10 binary64))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 x x))) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (-.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
(.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 x x))) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
(.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 x x))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 #s(approx (+ (+ (+ (+ (PI) x) (PI)) (PI)) (PI)) (fma.f64 (PI.f64) #s(literal 4 binary64) x))))
(-.f64 x (sin.f64 x))
(sin.f64 x)
(tan.f64 #s(approx (+ (+ (+ (+ (PI) x) (PI)) (PI)) (PI)) (fma.f64 (PI.f64) #s(literal 4 binary64) x)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64))
(.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(fma.f64 (PI.f64) #s(literal 4 binary64) x)

Outputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(pow x 2)
6
(+ 6 (* 23/10 (pow x 2)))
(+ 6 (* (pow x 2) (+ 23/10 (* 1271/1400 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 1271/1400 (* 46187/126000 (pow x 2)))))))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))
-23/360
(- (* -11/15120 (pow x 2)) 23/360)
(- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)
(/ 6 (pow x 2))
(/ (+ 6 (* 23/10 (pow x 2))) (pow x 2))
(/ (+ 6 (* (pow x 2) (+ 23/10 (* 1271/1400 (pow x 2))))) (pow x 2))
(/ (+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 1271/1400 (* 46187/126000 (pow x 2))))))) (pow x 2))
(* 1/36 (pow x 4))
(* -1/36 (pow x 4))
(* (pow x 4) (- (* 529/129600 (pow x 4)) 1/36))
(* (pow x 4) (- (* (pow x 4) (+ 529/129600 (* 253/2721600 (pow x 2)))) 1/36))
(* (pow x 4) (- (* (pow x 4) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* 70279/2286144000 (pow x 2)))))) 1/36))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* -11/15120 (pow x 2)) 23/360))
(* (pow x 4) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(* 1/6 (/ (* (pow x 3) (cos (* 4 (PI)))) (sin (* 4 (PI)))))
(* (pow x 3) (+ (* -1/6 (/ (* x (* (pow (cos (* 4 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2)))))) (pow (sin (* 4 (PI))) 2))) (* 1/6 (/ (cos (* 4 (PI))) (sin (* 4 (PI)))))))
(* (pow x 3) (+ (* 1/6 (/ (cos (* 4 (PI))) (sin (* 4 (PI))))) (* x (- (* x (- (* -1/120 (/ (cos (* 4 (PI))) (sin (* 4 (PI))))) (+ (* -1/6 (/ (* (pow (cos (* 4 (PI))) 3) (pow (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2)))) 2)) (pow (sin (* 4 (PI))) 3))) (* 1/6 (/ (* (cos (* 4 (PI))) (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2))))) (sin (* 4 (PI)))))))) (* 1/6 (/ (* (pow (cos (* 4 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2))))) (pow (sin (* 4 (PI))) 2)))))))
(* (pow x 3) (+ (* 1/6 (/ (cos (* 4 (PI))) (sin (* 4 (PI))))) (* x (- (* x (- (+ (* -1 (* x (+ (* -1/6 (/ (* (pow (cos (* 4 (PI))) 2) (+ 1/6 (+ (* -1 (/ (* (pow (sin (* 4 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2))))) (pow (cos (* 4 (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2))))) (* 1/6 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2))))))) (pow (sin (* 4 (PI))) 2))) (+ (* -1/6 (/ (* (pow (cos (* 4 (PI))) 2) (pow (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2)))) 2)) (pow (sin (* 4 (PI))) 2))) (/ (* (cos (* 4 (PI))) (* (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2)))) (- (* -1/120 (/ (cos (* 4 (PI))) (sin (* 4 (PI))))) (+ (* -1/6 (/ (* (pow (cos (* 4 (PI))) 3) (pow (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2)))) 2)) (pow (sin (* 4 (PI))) 3))) (* 1/6 (/ (* (cos (* 4 (PI))) (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2))))) (sin (* 4 (PI))))))))) (sin (* 4 (PI)))))))) (* -1/120 (/ (cos (* 4 (PI))) (sin (* 4 (PI)))))) (+ (* -1/6 (/ (* (pow (cos (* 4 (PI))) 3) (pow (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2)))) 2)) (pow (sin (* 4 (PI))) 3))) (* 1/6 (/ (* (cos (* 4 (PI))) (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2))))) (sin (* 4 (PI)))))))) (* 1/6 (/ (* (pow (cos (* 4 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2))))) (pow (sin (* 4 (PI))) 2)))))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(/ (sin (* 4 (PI))) (cos (* 4 (PI))))
(+ (* x (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2))))) (/ (sin (* 4 (PI))) (cos (* 4 (PI)))))
(+ (* x (- (+ 1 (/ (* x (* (sin (* 4 (PI))) (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2)))))) (cos (* 4 (PI))))) (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2))))) (/ (sin (* 4 (PI))) (cos (* 4 (PI)))))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (* 4 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2))))) (pow (cos (* 4 (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2))))) (* 1/6 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2)))))))) (* -1 (/ (* (sin (* 4 (PI))) (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2))))) (cos (* 4 (PI)))))))) (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2))))) (/ (sin (* 4 (PI))) (cos (* 4 (PI)))))
-11/15120
(- (* -143/604800 (pow x 2)) 11/15120)
(* -23/360 x)
(* x (- (* -11/15120 (pow x 2)) 23/360))
(* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(* 4 (PI))
(+ x (* 4 (PI)))
(* -143/604800 (pow x 8))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(/ -604800/143 (pow x 6))
(/ (- (* 24192000/1859 (/ 1 (pow x 2))) 604800/143) (pow x 6))
(/ (- (+ (* 24192000/1859 (/ 1 (pow x 2))) (/ 293158656000/265837 (pow x 4))) 604800/143) (pow x 6))
(/ (- (+ (* 24192000/1859 (/ 1 (pow x 2))) (/ 293158656000/265837 (pow x 4))) (+ 604800/143 (* 34181360640000/3455881 (/ 1 (pow x 6))))) (pow x 6))
(* -143/604800 (pow x 6))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 4))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(/ (sin x) (* x (cos x)))
(/ (+ (/ (sin x) (cos x)) (/ (pow (sin x) 2) (* x (cos x)))) x)
(/ (- (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (* (pow x 2) (cos x)))) (* -1 (/ (pow (sin x) 2) (* x (cos x))))) x)
(/ (- (+ (/ (sin x) (cos x)) (/ (pow (sin x) 4) (* (pow x 3) (cos x)))) (+ (* -1 (/ (pow (sin x) 2) (* x (cos x)))) (* -1 (/ (pow (sin x) 3) (* (pow x 2) (cos x)))))) x)
23/10
(+ 23/10 (* 6 (/ 1 (pow x 2))))
(* 20449/365783040000 (pow x 16))
(* (pow x 16) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))
(* (pow x 16) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2))))))
(* (pow x 16) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 253/2721600 (/ 1 (pow x 6)))))))
(/ (* x (cos (+ x (* 4 (PI))))) (sin (+ x (* 4 (PI)))))
(* x (+ (* -1 (/ (* (cos (+ x (* 4 (PI)))) (sin x)) (* x (sin (+ x (* 4 (PI))))))) (/ (cos (+ x (* 4 (PI)))) (sin (+ x (* 4 (PI)))))))
(* x (+ 1 (* -1 (/ (sin x) x))))
(sin x)
(/ (sin (+ x (* 4 (PI)))) (cos (+ x (* 4 (PI)))))
(* -143/604800 (pow x 2))
(* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -143/604800 (pow x 5))
(* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* x (+ 1 (* 4 (/ (PI) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (/ (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 2) (* x (cos x))))) x))
(* -1 (/ (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (+ (/ (pow (sin x) 2) (cos x)) (/ (pow (sin x) 3) (* x (cos x)))) x))) x))
(* -1 (/ (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (sin x) 3) (cos x))) (* -1 (/ (pow (sin x) 4) (* x (cos x))))) x)) (/ (pow (sin x) 2) (cos x))) x))) x))
(/ (* x (cos (- (* 4 (PI)) (* -1 x)))) (sin (- (* 4 (PI)) (* -1 x))))
(* -1 (* x (+ (* -1 (/ (cos (- (* 4 (PI)) (* -1 x))) (sin (- (* 4 (PI)) (* -1 x))))) (/ (* (cos (- (* 4 (PI)) (* -1 x))) (sin x)) (* x (sin (- (* 4 (PI)) (* -1 x))))))))
(* -1 (* x (- (/ (sin x) x) 1)))
(/ (sin (- (* 4 (PI)) (* -1 x))) (cos (- (* 4 (PI)) (* -1 x))))
(* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -1 (* x (- (* -4 (/ (PI) x)) 1)))

Calls

3 calls:

Time

Variable

Point

Expression

5.0ms

((/ (* x x) (/ 1 (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6))) (/ (- x (sin x)) (tan x)) (* x x) (/ 1 (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6)) (/ (- x (sin x)) (tan x)) (* (+ (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (* x x)) (+ (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) (/ 1 (/ (tan x) (- x (sin x)))) (/ (tan x) (- x (sin x))) (- (/ 6 (* x x)) -23/10) (/ 6 (* x x)) (/ (- (* (* (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) (* x x)) (* (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) (* x x))) (* (* 1/6 (* x x)) (* 1/6 (* x x)))) (- (* (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) (* x x)) (* 1/6 (* x x)))) (* (* 1/6 (* x x)) (* 1/6 (* x x))) (- (* (* (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) (* x x)) (* (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) (* x x))) (* (* 1/6 (* x x)) (* 1/6 (* x x)))) (* (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) (* x x)) (/ (- x (sin x)) (tan (+ (+ (+ (+ (PI) x) (PI)) (PI)) (PI)))) (- x (sin x)) (sin x) (tan (+ (+ (+ (+ (PI) x) (PI)) (PI)) (PI))) (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (+ (* -143/604800 (* x x)) -11/15120) (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) (* 1/6 (* x x)) (+ (* (PI) 4) x))

4.0ms

inf

((/ (* x x) (/ 1 (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6))) (/ (- x (sin x)) (tan x)) (* x x) (/ 1 (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6)) (/ (- x (sin x)) (tan x)) (* (+ (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (* x x)) (+ (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) (/ 1 (/ (tan x) (- x (sin x)))) (/ (tan x) (- x (sin x))) (- (/ 6 (* x x)) -23/10) (/ 6 (* x x)) (/ (- (* (* (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) (* x x)) (* (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) (* x x))) (* (* 1/6 (* x x)) (* 1/6 (* x x)))) (- (* (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) (* x x)) (* 1/6 (* x x)))) (* (* 1/6 (* x x)) (* 1/6 (* x x))) (- (* (* (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) (* x x)) (* (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) (* x x))) (* (* 1/6 (* x x)) (* 1/6 (* x x)))) (* (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) (* x x)) (/ (- x (sin x)) (tan (+ (+ (+ (+ (PI) x) (PI)) (PI)) (PI)))) (- x (sin x)) (sin x) (tan (+ (+ (+ (+ (PI) x) (PI)) (PI)) (PI))) (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (+ (* -143/604800 (* x x)) -11/15120) (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) (* 1/6 (* x x)) (+ (* (PI) 4) x))

3.0ms

-inf

((/ (* x x) (/ 1 (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6))) (/ (- x (sin x)) (tan x)) (* x x) (/ 1 (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6)) (/ (- x (sin x)) (tan x)) (* (+ (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (* x x)) (+ (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) (/ 1 (/ (tan x) (- x (sin x)))) (/ (tan x) (- x (sin x))) (- (/ 6 (* x x)) -23/10) (/ 6 (* x x)) (/ (- (* (* (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) (* x x)) (* (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) (* x x))) (* (* 1/6 (* x x)) (* 1/6 (* x x)))) (- (* (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) (* x x)) (* 1/6 (* x x)))) (* (* 1/6 (* x x)) (* 1/6 (* x x))) (- (* (* (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) (* x x)) (* (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) (* x x))) (* (* 1/6 (* x x)) (* 1/6 (* x x)))) (* (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) (* x x)) (/ (- x (sin x)) (tan (+ (+ (+ (+ (PI) x) (PI)) (PI)) (PI)))) (- x (sin x)) (sin x) (tan (+ (+ (+ (+ (PI) x) (PI)) (PI)) (PI))) (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (+ (* -143/604800 (* x x)) -11/15120) (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) (* 1/6 (* x x)) (+ (* (PI) 4) x))

simplify149.0ms (1.3%)

Memory

-15.3MiB live, 137.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	385	1956
1	1276	1870
2	4962	1799
0	8295	1713

Stop Event

1×	iter limit
1×	node limit

Counts

99 → 98

Calls

Call 1

Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(pow x 2)
6
(+ 6 (* 23/10 (pow x 2)))
(+ 6 (* (pow x 2) (+ 23/10 (* 1271/1400 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 1271/1400 (* 46187/126000 (pow x 2)))))))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))
-23/360
(- (* -11/15120 (pow x 2)) 23/360)
(- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)
(/ 6 (pow x 2))
(/ (+ 6 (* 23/10 (pow x 2))) (pow x 2))
(/ (+ 6 (* (pow x 2) (+ 23/10 (* 1271/1400 (pow x 2))))) (pow x 2))
(/ (+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 1271/1400 (* 46187/126000 (pow x 2))))))) (pow x 2))
(* 1/36 (pow x 4))
(* -1/36 (pow x 4))
(* (pow x 4) (- (* 529/129600 (pow x 4)) 1/36))
(* (pow x 4) (- (* (pow x 4) (+ 529/129600 (* 253/2721600 (pow x 2)))) 1/36))
(* (pow x 4) (- (* (pow x 4) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* 70279/2286144000 (pow x 2)))))) 1/36))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* -11/15120 (pow x 2)) 23/360))
(* (pow x 4) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(* 1/6 (/ (* (pow x 3) (cos (* 4 (PI)))) (sin (* 4 (PI)))))
(* (pow x 3) (+ (* -1/6 (/ (* x (* (pow (cos (* 4 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2)))))) (pow (sin (* 4 (PI))) 2))) (* 1/6 (/ (cos (* 4 (PI))) (sin (* 4 (PI)))))))
(* (pow x 3) (+ (* 1/6 (/ (cos (* 4 (PI))) (sin (* 4 (PI))))) (* x (- (* x (- (* -1/120 (/ (cos (* 4 (PI))) (sin (* 4 (PI))))) (+ (* -1/6 (/ (* (pow (cos (* 4 (PI))) 3) (pow (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2)))) 2)) (pow (sin (* 4 (PI))) 3))) (* 1/6 (/ (* (cos (* 4 (PI))) (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2))))) (sin (* 4 (PI)))))))) (* 1/6 (/ (* (pow (cos (* 4 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2))))) (pow (sin (* 4 (PI))) 2)))))))
(* (pow x 3) (+ (* 1/6 (/ (cos (* 4 (PI))) (sin (* 4 (PI))))) (* x (- (* x (- (+ (* -1 (* x (+ (* -1/6 (/ (* (pow (cos (* 4 (PI))) 2) (+ 1/6 (+ (* -1 (/ (* (pow (sin (* 4 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2))))) (pow (cos (* 4 (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2))))) (* 1/6 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2))))))) (pow (sin (* 4 (PI))) 2))) (+ (* -1/6 (/ (* (pow (cos (* 4 (PI))) 2) (pow (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2)))) 2)) (pow (sin (* 4 (PI))) 2))) (/ (* (cos (* 4 (PI))) (* (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2)))) (- (* -1/120 (/ (cos (* 4 (PI))) (sin (* 4 (PI))))) (+ (* -1/6 (/ (* (pow (cos (* 4 (PI))) 3) (pow (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2)))) 2)) (pow (sin (* 4 (PI))) 3))) (* 1/6 (/ (* (cos (* 4 (PI))) (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2))))) (sin (* 4 (PI))))))))) (sin (* 4 (PI)))))))) (* -1/120 (/ (cos (* 4 (PI))) (sin (* 4 (PI)))))) (+ (* -1/6 (/ (* (pow (cos (* 4 (PI))) 3) (pow (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2)))) 2)) (pow (sin (* 4 (PI))) 3))) (* 1/6 (/ (* (cos (* 4 (PI))) (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2))))) (sin (* 4 (PI)))))))) (* 1/6 (/ (* (pow (cos (* 4 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2))))) (pow (sin (* 4 (PI))) 2)))))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(/ (sin (* 4 (PI))) (cos (* 4 (PI))))
(+ (* x (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2))))) (/ (sin (* 4 (PI))) (cos (* 4 (PI)))))
(+ (* x (- (+ 1 (/ (* x (* (sin (* 4 (PI))) (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2)))))) (cos (* 4 (PI))))) (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2))))) (/ (sin (* 4 (PI))) (cos (* 4 (PI)))))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (* 4 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2))))) (pow (cos (* 4 (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2))))) (* 1/6 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2)))))))) (* -1 (/ (* (sin (* 4 (PI))) (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2))))) (cos (* 4 (PI)))))))) (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2))))) (/ (sin (* 4 (PI))) (cos (* 4 (PI)))))
-11/15120
(- (* -143/604800 (pow x 2)) 11/15120)
(* -23/360 x)
(* x (- (* -11/15120 (pow x 2)) 23/360))
(* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(* 4 (PI))
(+ x (* 4 (PI)))
(* -143/604800 (pow x 8))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(/ -604800/143 (pow x 6))
(/ (- (* 24192000/1859 (/ 1 (pow x 2))) 604800/143) (pow x 6))
(/ (- (+ (* 24192000/1859 (/ 1 (pow x 2))) (/ 293158656000/265837 (pow x 4))) 604800/143) (pow x 6))
(/ (- (+ (* 24192000/1859 (/ 1 (pow x 2))) (/ 293158656000/265837 (pow x 4))) (+ 604800/143 (* 34181360640000/3455881 (/ 1 (pow x 6))))) (pow x 6))
(* -143/604800 (pow x 6))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 4))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(/ (sin x) (* x (cos x)))
(/ (+ (/ (sin x) (cos x)) (/ (pow (sin x) 2) (* x (cos x)))) x)
(/ (- (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (* (pow x 2) (cos x)))) (* -1 (/ (pow (sin x) 2) (* x (cos x))))) x)
(/ (- (+ (/ (sin x) (cos x)) (/ (pow (sin x) 4) (* (pow x 3) (cos x)))) (+ (* -1 (/ (pow (sin x) 2) (* x (cos x)))) (* -1 (/ (pow (sin x) 3) (* (pow x 2) (cos x)))))) x)
23/10
(+ 23/10 (* 6 (/ 1 (pow x 2))))
(* 20449/365783040000 (pow x 16))
(* (pow x 16) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))
(* (pow x 16) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2))))))
(* (pow x 16) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 253/2721600 (/ 1 (pow x 6)))))))
(/ (* x (cos (+ x (* 4 (PI))))) (sin (+ x (* 4 (PI)))))
(* x (+ (* -1 (/ (* (cos (+ x (* 4 (PI)))) (sin x)) (* x (sin (+ x (* 4 (PI))))))) (/ (cos (+ x (* 4 (PI)))) (sin (+ x (* 4 (PI)))))))
(* x (+ 1 (* -1 (/ (sin x) x))))
(sin x)
(/ (sin (+ x (* 4 (PI)))) (cos (+ x (* 4 (PI)))))
(* -143/604800 (pow x 2))
(* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -143/604800 (pow x 5))
(* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* x (+ 1 (* 4 (/ (PI) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (/ (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 2) (* x (cos x))))) x))
(* -1 (/ (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (+ (/ (pow (sin x) 2) (cos x)) (/ (pow (sin x) 3) (* x (cos x)))) x))) x))
(* -1 (/ (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (sin x) 3) (cos x))) (* -1 (/ (pow (sin x) 4) (* x (cos x))))) x)) (/ (pow (sin x) 2) (cos x))) x))) x))
(/ (* x (cos (- (* 4 (PI)) (* -1 x)))) (sin (- (* 4 (PI)) (* -1 x))))
(* -1 (* x (+ (* -1 (/ (cos (- (* 4 (PI)) (* -1 x))) (sin (- (* 4 (PI)) (* -1 x))))) (/ (* (cos (- (* 4 (PI)) (* -1 x))) (sin x)) (* x (sin (- (* 4 (PI)) (* -1 x))))))))
(* -1 (* x (- (/ (sin x) x) 1)))
(/ (sin (- (* 4 (PI)) (* -1 x))) (cos (- (* 4 (PI)) (* -1 x))))
(* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -1 (* x (- (* -4 (/ (PI) x)) 1)))

Outputs
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(pow x 2)
(*.f64 x x)
6
#s(literal 6 binary64)
(+ 6 (* 23/10 (pow x 2)))
(fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 23/10 (* 1271/1400 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1271/1400 binary64) (.f64 x x) #s(literal 23/10 binary64)) (.f64 x x) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 1271/1400 (* 46187/126000 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 46187/126000 binary64) (.f64 x x) #s(literal 1271/1400 binary64)) (.f64 x x) #s(literal 23/10 binary64)) (*.f64 x x) #s(literal 6 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -23/360 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))
(fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
-23/360
#s(literal -23/360 binary64)
(- (* -11/15120 (pow x 2)) 23/360)
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)
(fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ (+ 6 (* 23/10 (pow x 2))) (pow x 2))
(+.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal 23/10 binary64))
(/ (+ 6 (* (pow x 2) (+ 23/10 (* 1271/1400 (pow x 2))))) (pow x 2))
(+.f64 #s(literal 23/10 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1271/1400 binary64) #s(literal 6 binary64)) (*.f64 x x)))
(/ (+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 1271/1400 (* 46187/126000 (pow x 2))))))) (pow x 2))
(+.f64 #s(literal 23/10 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 46187/126000 binary64) (.f64 x x) #s(literal 1271/1400 binary64)) #s(literal 6 binary64)) (.f64 x x)))
(* 1/36 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))
(* -1/36 (pow x 4))
(*.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 529/129600 (pow x 4)) 1/36))
(*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* (pow x 4) (+ 529/129600 (* 253/2721600 (pow x 2)))) 1/36))
(.f64 (fma.f64 (fma.f64 #s(literal 253/2721600 binary64) (.f64 x x) #s(literal 529/129600 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* (pow x 4) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* 70279/2286144000 (pow x 2)))))) 1/36))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 70279/2286144000 binary64) (.f64 x x) #s(literal 253/2721600 binary64)) (*.f64 x x) #s(literal 529/129600 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* -23/360 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64))
(* (pow x 4) (- (* -11/15120 (pow x 2)) 23/360))
(.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))
(* (pow x 4) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)))
(* 1/6 (/ (* (pow x 3) (cos (* 4 (PI)))) (sin (* 4 (PI)))))
(/.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) (cos.f64 (.f64 #s(literal -4 binary64) (PI.f64)))) (sin.f64 (.f64 #s(literal 4 binary64) (PI.f64))))
(* (pow x 3) (+ (* -1/6 (/ (* x (* (pow (cos (* 4 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 4 (PI))) 2) (pow (cos (* 4 (PI))) 2)))))) (pow (sin (* 4 (PI))) 2))) (* 1/6 (/ (cos (* 4 (PI))) (sin (* 4 (PI)))))))
(.f64 (/.f64 (fma.f64 (cos.f64 (.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 1/6 binary64) (/.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 4 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 2 binary64)))) (sin.f64 (.f64 #s(literal 4 binary64) (PI.f64))))) (sin.f64 (.f64 #s(literal 4 binary64) (PI.f64)))) (pow.f64 x #s(literal 3 binary64)))
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(/ (- (+ (/ (sin x) (cos x)) (/ (pow (sin x) 4) (* (pow x 3) (cos x)))) (+ (* -1 (/ (pow (sin x) 2) (* x (cos x)))) (* -1 (/ (pow (sin x) 3) (* (pow x 2) (cos x)))))) x)
(/.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) x)) x) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) (sin.f64 x))) (cos.f64 x)) x)
23/10
#s(literal 23/10 binary64)
(+ 23/10 (* 6 (/ 1 (pow x 2))))
(+.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal 23/10 binary64))
(* 20449/365783040000 (pow x 16))
(*.f64 (pow.f64 x #s(literal 16 binary64)) #s(literal 20449/365783040000 binary64))
(* (pow x 16) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1573/4572288000 binary64) (.f64 x x)) #s(literal 20449/365783040000 binary64)) (pow.f64 x #s(literal 16 binary64)))
(* (pow x 16) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2))))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 70279/2286144000 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 20449/365783040000 binary64)) (/.f64 #s(literal -1573/4572288000 binary64) (.f64 x x))) (pow.f64 x #s(literal 16 binary64)))
(* (pow x 16) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 253/2721600 (/ 1 (pow x 6)))))))
(.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 70279/2286144000 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 20449/365783040000 binary64)) (/.f64 #s(literal -1573/4572288000 binary64) (.f64 x x))) (/.f64 #s(literal -253/2721600 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 16 binary64)))
(/ (* x (cos (+ x (* 4 (PI))))) (sin (+ x (* 4 (PI)))))
(/.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 4 binary64) (PI.f64) x)) x) (sin.f64 (fma.f64 #s(literal 4 binary64) (PI.f64) x)))
(* x (+ (* -1 (/ (* (cos (+ x (* 4 (PI)))) (sin x)) (* x (sin (+ x (* 4 (PI))))))) (/ (cos (+ x (* 4 (PI)))) (sin (+ x (* 4 (PI)))))))
(*.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 (fma.f64 #s(literal 4 binary64) (PI.f64) x)) x) (sin.f64 x) (neg.f64 (cos.f64 (fma.f64 #s(literal 4 binary64) (PI.f64) x)))) (sin.f64 (fma.f64 #s(literal 4 binary64) (PI.f64) x))) (neg.f64 x))
(* x (+ 1 (* -1 (/ (sin x) x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x)
(sin x)
(sin.f64 x)
(/ (sin (+ x (* 4 (PI)))) (cos (+ x (* 4 (PI)))))
(/.f64 (sin.f64 (fma.f64 #s(literal 4 binary64) (PI.f64) x)) (cos.f64 (fma.f64 #s(literal 4 binary64) (PI.f64) x)))
(* -143/604800 (pow x 2))
(.f64 (.f64 x x) #s(literal -143/604800 binary64))
(* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(neg.f64 (fma.f64 #s(literal 143/604800 binary64) (*.f64 x x) #s(literal 11/15120 binary64)))
(* -143/604800 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -143/604800 binary64))
(* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (neg.f64 (+.f64 (/.f64 #s(literal 11/15120 binary64) (.f64 x x)) #s(literal 143/604800 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 23/360 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x)) (pow.f64 x #s(literal 5 binary64)))
(* x (+ 1 (* 4 (/ (PI) x))))
(*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 4 binary64) #s(literal 1 binary64)) x)
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) x)) x)
(* -1 (/ (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 2) (* x (cos x))))) x))
(/.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) x) (sin.f64 x)) (*.f64 (cos.f64 x) x))
(* -1 (/ (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (+ (/ (pow (sin x) 2) (cos x)) (/ (pow (sin x) 3) (* x (cos x)))) x))) x))
(/.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) x)) x) (sin.f64 x)) (cos.f64 x)) x)
(* -1 (/ (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (sin x) 3) (cos x))) (* -1 (/ (pow (sin x) 4) (* x (cos x))))) x)) (/ (pow (sin x) 2) (cos x))) x))) x))
(/.f64 (+.f64 (/.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (cos.f64 x)) x)) x) (/.f64 (sin.f64 x) (cos.f64 x))) x)
(/ (* x (cos (- (* 4 (PI)) (* -1 x)))) (sin (- (* 4 (PI)) (* -1 x))))
(/.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 4 binary64) (PI.f64) x)) x) (sin.f64 (fma.f64 #s(literal 4 binary64) (PI.f64) x)))
(* -1 (* x (+ (* -1 (/ (cos (- (* 4 (PI)) (* -1 x))) (sin (- (* 4 (PI)) (* -1 x))))) (/ (* (cos (- (* 4 (PI)) (* -1 x))) (sin x)) (* x (sin (- (* 4 (PI)) (* -1 x))))))))
(*.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 (fma.f64 #s(literal 4 binary64) (PI.f64) x)) x) (sin.f64 x) (neg.f64 (cos.f64 (fma.f64 #s(literal 4 binary64) (PI.f64) x)))) (sin.f64 (fma.f64 #s(literal 4 binary64) (PI.f64) x))) (neg.f64 x))
(* -1 (* x (- (/ (sin x) x) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x)
(/ (sin (- (* 4 (PI)) (* -1 x))) (cos (- (* 4 (PI)) (* -1 x))))
(/.f64 (sin.f64 (fma.f64 #s(literal 4 binary64) (PI.f64) x)) (cos.f64 (fma.f64 #s(literal 4 binary64) (PI.f64) x)))
(* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 23/360 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x)) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* x (- (* -4 (/ (PI) x)) 1)))
(fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 (PI.f64) x)) (neg.f64 x) x)

rewrite235.0ms (2%)

Memory

5.9MiB live, 250.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	451
0	88	362
1	459	344
2	4022	344
0	8532	336

Stop Event

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

Counts

25 → 739

Calls

Call 1

Inputs
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))))
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
(.f64 (fma.f64 #s(approx (+ ( (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x))
(fma.f64 #s(approx (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
#s(approx (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ (tan x) (- x (sin x))) (-.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -23/10 binary64))))
#s(approx (/ (tan x) (- x (sin x))) (-.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -23/10 binary64)))
(-.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -23/10 binary64))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 x x))) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (-.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
(.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 x x))) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
(.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 x x))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 #s(approx (+ (+ (+ (+ (PI) x) (PI)) (PI)) (PI)) (fma.f64 (PI.f64) #s(literal 4 binary64) x))))
(-.f64 x (sin.f64 x))
(sin.f64 x)
(tan.f64 #s(approx (+ (+ (+ (+ (PI) x) (PI)) (PI)) (PI)) (fma.f64 (PI.f64) #s(literal 4 binary64) x)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64))
(.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(fma.f64 (PI.f64) #s(literal 4 binary64) x)

Outputs
(.f64 (/.f64 (.f64 x x) #s(literal -1 binary64)) (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))
(.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 3 binary64))) (.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64))))))
(.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (.f64 (.f64 x (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))) x))
(.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (neg.f64 x) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (fabs.f64 x) #s(literal 1 binary64)) (/.f64 (fabs.f64 x) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 x #s(literal 1 binary64)) (.f64 x (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))
(.f64 (/.f64 (.f64 (.f64 x (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))) x) (.f64 x x)) (/.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal -1/6 binary64)) (.f64 x x)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal -1/6 binary64))))
(.f64 (.f64 x (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) x)
(.f64 (.f64 (.f64 x (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))) x) (/.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal -1/6 binary64)) (.f64 x x)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal -1/6 binary64)) (.f64 x x))))
(.f64 (.f64 (.f64 x (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))) x) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal -1/6 binary64)) (.f64 x x)) (/.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal -1/6 binary64)))))
(.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal -1/6 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))))
(.f64 (neg.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (pow.f64 (.f64 (.f64 (neg.f64 x) x) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal -1/6 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) #s(literal -1 binary64)))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))
(.f64 (neg.f64 x) (/.f64 (neg.f64 x) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
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(+.f64 (.f64 x (.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x)) (*.f64 x #s(literal -23/360 binary64)))
(+.f64 (.f64 x #s(literal -23/360 binary64)) (.f64 x (.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) x) x)))
(.f64 (.f64 #s(literal 1/6 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal 1/6 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (fabs.f64 (.f64 #s(literal 1/6 binary64) x)) (fabs.f64 x))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(*.f64 (neg.f64 x) (/.f64 (neg.f64 x) #s(literal 6 binary64)))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1/6 binary64)))
(*.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) #s(literal 6 binary64)))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1/6 binary64)))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x (/.f64 x #s(literal 6 binary64)))
(.f64 x (.f64 #s(literal 1/6 binary64) x))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64))
(pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 x) x) #s(literal -6 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))
(fabs.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(fabs.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(exp.f64 (/.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x))) #s(literal 1 binary64)))
(.f64 (fma.f64 #s(literal 16 binary64) (.f64 (PI.f64) (PI.f64)) (*.f64 (neg.f64 x) x)) (pow.f64 (fma.f64 #s(literal 4 binary64) (PI.f64) (neg.f64 x)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 16 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 x (-.f64 x (.f64 #s(literal 4 binary64) (PI.f64))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (PI.f64) (neg.f64 x)) (fma.f64 #s(literal 16 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (neg.f64 x) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 16 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 x (-.f64 x (*.f64 #s(literal 4 binary64) (PI.f64))))) (fma.f64 #s(literal 64 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 x x) (.f64 #s(literal 16 binary64) (.f64 (PI.f64) (PI.f64)))) (-.f64 x (.f64 #s(literal 4 binary64) (PI.f64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (neg.f64 x) x))) (neg.f64 (fma.f64 #s(literal 4 binary64) (PI.f64) (neg.f64 x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 16 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 x (-.f64 x (*.f64 #s(literal 4 binary64) (PI.f64)))))))
(/.f64 (fma.f64 #s(literal 16 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (neg.f64 x) x)) (fma.f64 #s(literal 4 binary64) (PI.f64) (neg.f64 x)))
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 #s(literal 16 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 #s(literal 4 binary64) (PI.f64)) x))))
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 16 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 x (-.f64 x (*.f64 #s(literal 4 binary64) (PI.f64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (PI.f64) (neg.f64 x)) (fma.f64 #s(literal 16 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (neg.f64 x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 16 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 x (-.f64 x (*.f64 #s(literal 4 binary64) (PI.f64))))) (fma.f64 #s(literal 64 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) x)
(fma.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)) x)
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 4 binary64)) x)
(fma.f64 (*.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1 binary64) x)
(fma.f64 #s(literal 4 binary64) (PI.f64) x)
(fma.f64 (PI.f64) #s(literal 4 binary64) x)
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (PI.f64)) x)
(-.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 4 binary64) (PI.f64) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(literal 4 binary64) (PI.f64) (neg.f64 x))))
(-.f64 x (*.f64 #s(literal -4 binary64) (PI.f64)))
(-.f64 x (*.f64 (neg.f64 (PI.f64)) #s(literal 4 binary64)))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 x (-.f64 x (.f64 #s(literal 4 binary64) (PI.f64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 x (-.f64 x (*.f64 #s(literal 4 binary64) (PI.f64)))))))
(+.f64 (*.f64 #s(literal 4 binary64) (PI.f64)) x)
(+.f64 x (*.f64 #s(literal 4 binary64) (PI.f64)))

eval186.0ms (1.6%)

Memory: -0.6MiB live, 308.7MiB allocated
Compiler: Compiled 94 062 to 6 136 computations (93.5% saved)

prune67.0ms (0.6%)

Memory

3.8MiB live, 82.5MiB allocated

Pruning

16 alts after pruning (9 fresh and 7 done)

	Pruned	Kept	Total
New	1 479	7	1 486
Fresh	4	2	6
Picked	3	2	5
Done	2	5	7
Total	1 488	16	1 504

Accuracy

100.0%

Counts

1 504 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.6%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 (+.f64 #s(approx (+ (+ (+ (+ (PI) x) (PI)) (PI)) (PI)) (fma.f64 #s(literal 4 binary64) (PI.f64) x)) (PI.f64))))
✓	55.5%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 #s(approx (+ (+ (+ (+ (PI) x) (PI)) (PI)) (PI)) (fma.f64 (PI.f64) #s(literal 4 binary64) x))))
✓	55.5%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
	98.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ (tan x) (- x (sin x))) (/.f64 #s(literal 6 binary64) (*.f64 x x))))
	98.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ (tan x) (- x (sin x))) (-.f64 (/.f64 (/.f64 #s(literal 6 binary64) x) x) #s(literal -23/10 binary64))))
	55.5%	(+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x)))
	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 x (/.f64 x #s(literal 6 binary64)) (.f64 (.f64 (.f64 #s(approx (+ ( (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) x) x) (*.f64 x x))))
	28.3%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 (.f64 (.f64 x (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))) x) (.f64 x x)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal -1/6 binary64))) (-.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))))
	99.3%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))))
	28.1%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(approx (- (* (* (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) (* x x)) (* (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) (* x x))) (* (* 1/6 (* x x)) (* 1/6 (* x x)))) (.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
✓	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
✓	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
✓	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
✓	99.2%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
✓	99.2%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

Compiler

Compiled 1 541 to 504 computations (67.3% saved)

regimes19.0ms (0.2%)

Memory

19.5MiB live, 19.5MiB allocated

Counts

36 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(approx (+ (* -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (tan x) (- x (sin x))) (/.f64 #s(literal 6 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (tan x) (- x (sin x))) (-.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -23/10 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ (tan x) (- x (sin x))) (-.f64 (/.f64 (/.f64 #s(literal 6 binary64) x) x) #s(literal -23/10 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 x (/.f64 x #s(literal 6 binary64)) (.f64 (.f64 (.f64 #s(approx (+ ( (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) x) x) (*.f64 x x))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64)))
(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 x x) (*.f64 #s(literal 1/6 binary64) x))) (tan.f64 x))
(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (tan.f64 x))
(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (.f64 (sqrt.f64 x) x) (.f64 (sqrt.f64 x) x)) #s(literal 1/6 binary64))) (tan.f64 x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 (.f64 (.f64 x (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))) x) (.f64 x x)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal -1/6 binary64))) (-.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(approx (- (* (* (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) (* x x)) (* (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) (* x x))) (* (* 1/6 (* x x)) (* 1/6 (* x x)))) (.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 x x))) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (-.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 #s(approx (+ (+ (+ (+ (PI) x) (PI)) (PI)) (PI)) (fma.f64 (PI.f64) #s(literal 4 binary64) x))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 (+.f64 #s(approx (+ (+ (+ (+ (PI) x) (PI)) (PI)) (PI)) (fma.f64 #s(literal 4 binary64) (PI.f64) x)) (PI.f64))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))))
(/.f64 #s(approx (- x (sin x)) (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (tan.f64 x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) #s(literal 6 binary64)) #s(literal 1/46656 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) #s(literal 4 binary64)) (+.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x)))

Outputs

#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))))

Calls

2 calls:

10.0ms	x
8.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes25.0ms (0.2%)

Memory

-39.0MiB live, 9.6MiB allocated

Counts

15 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(approx (+ (* -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (tan x) (- x (sin x))) (/.f64 #s(literal 6 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (tan x) (- x (sin x))) (-.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -23/10 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ (tan x) (- x (sin x))) (-.f64 (/.f64 (/.f64 #s(literal 6 binary64) x) x) #s(literal -23/10 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 x (/.f64 x #s(literal 6 binary64)) (.f64 (.f64 (.f64 #s(approx (+ ( (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) x) x) (*.f64 x x))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))

Outputs

#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))

Calls

2 calls:

19.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
5.0ms	x

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes8.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated

Counts

14 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(approx (+ (* -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (tan x) (- x (sin x))) (/.f64 #s(literal 6 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (tan x) (- x (sin x))) (-.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -23/10 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ (tan x) (- x (sin x))) (-.f64 (/.f64 (/.f64 #s(literal 6 binary64) x) x) #s(literal -23/10 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 x (/.f64 x #s(literal 6 binary64)) (.f64 (.f64 (.f64 #s(approx (+ ( (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) x) x) (*.f64 x x))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))

Outputs

#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))

Calls

2 calls:

4.0ms	x
3.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes8.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB allocated

Counts

13 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(approx (+ (* -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (tan x) (- x (sin x))) (/.f64 #s(literal 6 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (tan x) (- x (sin x))) (-.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -23/10 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ (tan x) (- x (sin x))) (-.f64 (/.f64 (/.f64 #s(literal 6 binary64) x) x) #s(literal -23/10 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 x (/.f64 x #s(literal 6 binary64)) (.f64 (.f64 (.f64 #s(approx (+ ( (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) x) x) (*.f64 x x))))

Outputs

#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 x (/.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) x) x) (*.f64 x x))))

Calls

2 calls:

4.0ms	x
3.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes7.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB allocated

Counts

12 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(approx (+ (* -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (tan x) (- x (sin x))) (/.f64 #s(literal 6 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (tan x) (- x (sin x))) (-.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -23/10 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ (tan x) (- x (sin x))) (-.f64 (/.f64 (/.f64 #s(literal 6 binary64) x) x) #s(literal -23/10 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))

Calls

2 calls:

4.0ms	x
3.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes10.0ms (0.1%)

Memory

-31.2MiB live, 7.7MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(approx (+ (* -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (tan x) (- x (sin x))) (/.f64 #s(literal 6 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (tan x) (- x (sin x))) (-.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -23/10 binary64))))

Outputs

#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))))

Calls

2 calls:

7.0ms	x
2.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes5.0ms (0%)

Memory

5.8MiB live, 5.8MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(approx (+ (* -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))

Outputs

#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))

Calls

2 calls:

2.0ms	x
2.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes4.0ms (0%)

Memory

5.3MiB live, 5.3MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(approx (+ (* -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))

Calls

2 calls:

2.0ms	x
2.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes3.0ms (0%)

Memory

4.7MiB live, 4.7MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))

#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))

#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))))

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))))

Calls

2 calls:

2.0ms	x
1.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

Accuracy	Segments	Branch
99.3%	1	`x`
99.3%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes3.0ms (0%)

Memory

4.1MiB live, 4.1MiB allocated

Accuracy

Total -0.1b remaining (-18.3%)

Threshold costs -0.1b (-18.3%)

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))

#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

Calls

2 calls:

1.0ms	x
1.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 8 to 6 computations (25% saved)

simplify66.0ms (0.6%)

Memory

-10.1MiB live, 28.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	283
1	103	283
2	217	283
3	818	283
4	3984	283
5	7306	283

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 x (/.f64 x #s(literal 6 binary64)) (.f64 (.f64 (.f64 #s(approx (+ ( (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) x) x) (*.f64 x x))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 x (/.f64 x #s(literal 6 binary64)) (.f64 (.f64 (.f64 #s(approx (+ ( (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) x) x) (*.f64 x x))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

soundness1.3s (10.6%)

Memory

-130.3MiB live, 362.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	261
1	355	245
2	1202	245
3	4427	231
0	8261	207
0	55	451
0	88	362
1	459	344
2	4022	344
0	8532	336
0	205	842
1	725	798
2	2716	764
0	8311	722
0	42	288
0	64	266
1	252	266
2	1251	266
0	8551	266
0	385	1956
1	1276	1870
2	4962	1799
0	8295	1713
0	38	254
0	68	244
1	299	238
2	2719	238
0	8796	234

Stop Event

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

Compiler

Compiled 646 to 292 computations (54.8% saved)

preprocess160.0ms (1.4%)

Memory: -5.8MiB live, 71.0MiB allocated
Remove: (abs x)
Compiler: Compiled 710 to 230 computations (67.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze2.0ms (0%)

sample3.7s (31.4%)

explain287.0ms (2.4%)

preprocess760.0ms (6.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify376.0ms (3.2%)

localize122.0ms (1%)

series4.0ms (0%)

simplify161.0ms (1.4%)

rewrite190.0ms (1.6%)

eval70.0ms (0.6%)

prune40.0ms (0.3%)

simplify276.0ms (2.3%)

localize733.0ms (6.2%)

series42.0ms (0.4%)

simplify200.0ms (1.7%)

rewrite214.0ms (1.8%)

eval159.0ms (1.3%)

prune26.0ms (0.2%)

simplify143.0ms (1.2%)

localize348.0ms (3%)

series9.0ms (0.1%)

simplify172.0ms (1.5%)

rewrite252.0ms (2.1%)

eval124.0ms (1.1%)

prune28.0ms (0.2%)

simplify176.0ms (1.5%)

localize950.0ms (8.1%)

series14.0ms (0.1%)

simplify149.0ms (1.3%)

rewrite235.0ms (2%)

eval186.0ms (1.6%)

prune67.0ms (0.6%)

regimes19.0ms (0.2%)

regimes25.0ms (0.2%)

regimes8.0ms (0.1%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes10.0ms (0.1%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

simplify66.0ms (0.6%)

soundness1.3s (10.6%)

preprocess160.0ms (1.4%)

end0.0ms (0%)

Profiling