Metrics for ENA, Section 1.4, Exercise 4a

analyze2.0ms (0%)

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 10 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

ival-<=: 0.0ms (0% of total)

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

sample4.5s (38%)

Results

3.4s	5461×	2	valid
490.0ms	2692×	1	valid
193.0ms	103×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.3s

ival-sin: 2.0s (59.7% of total)

backward-pass: 480.0ms (14.4% of total)

ival-div: 432.0ms (13% of total)

ival-sub: 265.0ms (8% of total)

ival-<=: 78.0ms (2.3% of total)

ival-tan: 63.0ms (1.9% of total)

const: 12.0ms (0.4% of total)

ival-and: 10.0ms (0.3% of total)

Bogosity

preprocess71.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

309×	`fma-define`
145×	`fmm-def`
70×	`times-frac`
57×	`associate-/r*`
53×	`unsub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	136
1	37	122
2	88	120
3	241	120
4	627	120
5	966	120
6	1218	120
7	1256	120
8	1317	120

Stop Event

1×

saturated

Calls

Call 1

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

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

Symmetry

(abs x)

explain289.0ms (2.5%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
85	1	(5.5014959443591084e-108)	0	-	`(-.f64 x (sin.f64 x))`
52	1	(5.173700532813084e-162)	4	(1.3740733173802349e-104)	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`
0	0	-	0	-	`(tan.f64 x)`
0	0	-	0	-	`(sin.f64 x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 x (sin.f64 x))`	cancellation	86	0
`/.f64`	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`	u/n	49	0
↳	`(-.f64 x (sin.f64 x))`	underflow	170

Confusion

	Predicted +	Predicted -
+	134	0
-	1	121

Precision

0.9925925925925926

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	134	0	0
-	1	0	121

Precision?

0.9925925925925926

Recall?

1.0

Freqs

test

number	freq
0	121
1	135

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Results

207.0ms	344×	2	valid
31.0ms	166×	1	valid
0.0ms	2×	0	valid

Compiler

Compiled 52 to 22 computations (57.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 200.0ms

ival-sin: 117.0ms (58.6% of total)

ival-div: 52.0ms (26% of total)

backward-pass: 14.0ms (7% of total)

ival-sub: 9.0ms (4.5% of total)

ival-tan: 7.0ms (3.5% of total)

const: 1.0ms (0.5% of total)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.7%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify38.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

153×	`fmm-def`
135×	`fma-define`
65×	`div-sub`
60×	`times-frac`
39×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	67
1	15	67
2	22	67
3	36	67
4	63	67
5	97	67
6	163	67
7	274	67
8	537	67
9	881	67
10	974	67
11	1012	67
12	1073	67

Stop Event

1×

saturated

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)

localize97.0ms (0.8%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(tan.f64 x)
✓	accuracy	100.0%	(sin.f64 x)
✓	accuracy	83.4%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
✓	accuracy	69.7%	(-.f64 x (sin.f64 x))

Results

75.0ms	172×	2	valid
12.0ms	83×	1	valid
0.0ms	1×	0	valid

Compiler

Compiled 18 to 6 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-sin: 46.0ms (69.2% of total)

backward-pass: 9.0ms (13.5% of total)

ival-div: 5.0ms (7.5% of total)

ival-sub: 4.0ms (6% of total)

ival-tan: 2.0ms (3% of total)

const: 0.0ms (0% of total)

series6.0ms (0%)

Counts

4 → 40

Calls

Call 1

Inputs
#<alt (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))>
#<alt (-.f64 x (sin.f64 x))>
#<alt (sin.f64 x)>
#<alt (tan.f64 x)>

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

Calls

12 calls:

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

rewrite687.0ms (5.8%)

Algorithm

1×	batch-egg-rewrite

Rules

766×	`log1p-expm1-u`
766×	`expm1-log1p-u`
647×	`prod-diff`
358×	`log-prod`
186×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	63
1	126	63
2	1935	63

Stop Event

1×	node limit

Counts

4 → 415

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 x (sin.f64 x)) (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (sin.f64 x) (tan.f64 x)))) (sqrt.f64 (/.f64 (sin.f64 x) (tan.f64 x))) (/.f64 (sin.f64 x) (tan.f64 x))))
(+.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (tan.f64 x)))) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (tan.f64 x))) (/.f64 (sin.f64 x) (tan.f64 x))))
(+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (/.f64 (sin.f64 x) (tan.f64 x))))
(+.f64 #s(literal 0 binary64) (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))
(+.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))) (sin.f64 x) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (sin.f64 x))))
(+.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (.f64 (/.f64 (sin.f64 x) (tan.f64 x)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (/.f64 (sin.f64 x) (tan.f64 x))) #s(literal 1 binary64) (.f64 (/.f64 (sin.f64 x) (tan.f64 x)) #s(literal 1 binary64))))
(+.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (tan.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (tan.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (tan.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)))))
(+.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (tan.f64 x)) (sqrt.f64 (sin.f64 x))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (tan.f64 x))) (sqrt.f64 (sin.f64 x)) (.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (tan.f64 x)) (sqrt.f64 (sin.f64 x)))))
(+.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (.f64 (cbrt.f64 (/.f64 (sin.f64 x) (tan.f64 x))) (.f64 (cbrt.f64 (/.f64 (sin.f64 x) (tan.f64 x))) (cbrt.f64 (/.f64 (sin.f64 x) (tan.f64 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (sin.f64 x) (tan.f64 x)))) (.f64 (cbrt.f64 (/.f64 (sin.f64 x) (tan.f64 x))) (cbrt.f64 (/.f64 (sin.f64 x) (tan.f64 x)))) (.f64 (cbrt.f64 (/.f64 (sin.f64 x) (tan.f64 x))) (*.f64 (cbrt.f64 (/.f64 (sin.f64 x) (tan.f64 x))) (cbrt.f64 (/.f64 (sin.f64 x) (tan.f64 x)))))))
(+.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (.f64 (/.f64 (sin.f64 x) (cbrt.f64 (tan.f64 x))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (/.f64 (sin.f64 x) (cbrt.f64 (tan.f64 x)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64))) (.f64 (/.f64 (sin.f64 x) (cbrt.f64 (tan.f64 x))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64))))))
(+.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (.f64 (/.f64 (sin.f64 x) (sqrt.f64 (tan.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (tan.f64 x)))))) (fma.f64 (neg.f64 (/.f64 (sin.f64 x) (sqrt.f64 (tan.f64 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (tan.f64 x))) (.f64 (/.f64 (sin.f64 x) (sqrt.f64 (tan.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (tan.f64 x))))))
(+.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (tan.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (tan.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (tan.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(+.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (tan.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (tan.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64))) (.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (tan.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64))))))
(+.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (tan.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sqrt.f64 (tan.f64 x)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (tan.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sqrt.f64 (tan.f64 x))) (.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (tan.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sqrt.f64 (tan.f64 x))))))
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(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) x)
(fma.f64 #s(literal -1 binary64) (sin.f64 x) x)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x)))) (cbrt.f64 (neg.f64 (sin.f64 x))) x)
(fma.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (sqrt.f64 (neg.f64 (sin.f64 x))) x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 x)) x)
(+.f64 #s(literal 0 binary64) (sin.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) (cbrt.f64 (exp.f64 (sin.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) #s(literal 1 binary64))
(-.f64 (.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (cos.f64 #s(literal 1 binary64))) (.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (sin.f64 #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(literal 1 binary64))
(*.f64 (sin.f64 x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (sin.f64 x))
(*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 x)))
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))
(pow.f64 (sin.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 x))))
(cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 x)))
(log1p.f64 (expm1.f64 (sin.f64 x)))
(exp.f64 (log.f64 (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (sin.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 x))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (tan.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (tan.f64 x))) (cbrt.f64 (exp.f64 (tan.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) #s(literal 1 binary64))
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (tan.f64 x) #s(literal 1 binary64))
(*.f64 (tan.f64 x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (tan.f64 x))
(*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 x)))
(*.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)))
(*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(pow.f64 (tan.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (tan.f64 x)) #s(literal 2 binary64))
(pow.f64 (/.f64 (cos.f64 x) (sin.f64 x)) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (tan.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (tan.f64 x))))
(cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (tan.f64 x)))
(log1p.f64 (expm1.f64 (tan.f64 x)))
(exp.f64 (log.f64 (tan.f64 x)))
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (tan.f64 x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (tan.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (tan.f64 x))) #s(literal 2 binary64)))

simplify608.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

733×	`fmm-def`
304×	`+-commutative`
273×	`fma-undefine`
243×	`associate-r`
241×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	1002	32799
1	2590	23114
2	7244	23022

Stop Event

1×	node limit

Counts

455 → 527

Calls

Call 1

Inputs
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 23/360 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64)))))
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) (sin.f64 x))))
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) (sin.f64 x))))
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 (cos.f64 x) x))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 (cos.f64 x) x))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 (cos.f64 x) x))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/120 binary64)))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/5040 binary64) (.f64 #s(literal -1/362880 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/120 binary64)))))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x))))
x
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal 17/315 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(+.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (sin.f64 x) (tan.f64 x)))) (sqrt.f64 (/.f64 (sin.f64 x) (tan.f64 x))) (/.f64 (sin.f64 x) (tan.f64 x))))
(+.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (tan.f64 x)))) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (tan.f64 x))) (/.f64 (sin.f64 x) (tan.f64 x))))
(+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (/.f64 (sin.f64 x) (tan.f64 x))))
(+.f64 #s(literal 0 binary64) (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))
(+.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))) (sin.f64 x) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (sin.f64 x))))
(+.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (.f64 (/.f64 (sin.f64 x) (tan.f64 x)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (/.f64 (sin.f64 x) (tan.f64 x))) #s(literal 1 binary64) (.f64 (/.f64 (sin.f64 x) (tan.f64 x)) #s(literal 1 binary64))))
(+.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (tan.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (tan.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (tan.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)))))
(+.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (tan.f64 x)) (sqrt.f64 (sin.f64 x))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (tan.f64 x))) (sqrt.f64 (sin.f64 x)) (.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (tan.f64 x)) (sqrt.f64 (sin.f64 x)))))
(+.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (.f64 (cbrt.f64 (/.f64 (sin.f64 x) (tan.f64 x))) (.f64 (cbrt.f64 (/.f64 (sin.f64 x) (tan.f64 x))) (cbrt.f64 (/.f64 (sin.f64 x) (tan.f64 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (sin.f64 x) (tan.f64 x)))) (.f64 (cbrt.f64 (/.f64 (sin.f64 x) (tan.f64 x))) (cbrt.f64 (/.f64 (sin.f64 x) (tan.f64 x)))) (.f64 (cbrt.f64 (/.f64 (sin.f64 x) (tan.f64 x))) (*.f64 (cbrt.f64 (/.f64 (sin.f64 x) (tan.f64 x))) (cbrt.f64 (/.f64 (sin.f64 x) (tan.f64 x)))))))
(+.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (.f64 (/.f64 (sin.f64 x) (cbrt.f64 (tan.f64 x))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (/.f64 (sin.f64 x) (cbrt.f64 (tan.f64 x)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64))) (.f64 (/.f64 (sin.f64 x) (cbrt.f64 (tan.f64 x))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64))))))
(+.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (.f64 (/.f64 (sin.f64 x) (sqrt.f64 (tan.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (tan.f64 x)))))) (fma.f64 (neg.f64 (/.f64 (sin.f64 x) (sqrt.f64 (tan.f64 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (tan.f64 x))) (.f64 (/.f64 (sin.f64 x) (sqrt.f64 (tan.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (tan.f64 x))))))
(+.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (tan.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (tan.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (tan.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(+.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (tan.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (tan.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64))) (.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (tan.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64))))))
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(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) x)
(fma.f64 #s(literal -1 binary64) (sin.f64 x) x)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x)))) (cbrt.f64 (neg.f64 (sin.f64 x))) x)
(fma.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (sqrt.f64 (neg.f64 (sin.f64 x))) x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 x)) x)
(+.f64 #s(literal 0 binary64) (sin.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) (cbrt.f64 (exp.f64 (sin.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) #s(literal 1 binary64))
(-.f64 (.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (cos.f64 #s(literal 1 binary64))) (.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (sin.f64 #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(literal 1 binary64))
(*.f64 (sin.f64 x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (sin.f64 x))
(*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 x)))
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))
(pow.f64 (sin.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 x))))
(cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 x)))
(log1p.f64 (expm1.f64 (sin.f64 x)))
(exp.f64 (log.f64 (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (sin.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 x))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (tan.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (tan.f64 x))) (cbrt.f64 (exp.f64 (tan.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) #s(literal 1 binary64))
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (tan.f64 x) #s(literal 1 binary64))
(*.f64 (tan.f64 x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (tan.f64 x))
(*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 x)))
(*.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)))
(*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(pow.f64 (tan.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (tan.f64 x)) #s(literal 2 binary64))
(pow.f64 (/.f64 (cos.f64 x) (sin.f64 x)) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (tan.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (tan.f64 x))))
(cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (tan.f64 x)))
(log1p.f64 (expm1.f64 (tan.f64 x)))
(exp.f64 (log.f64 (tan.f64 x)))
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (tan.f64 x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (tan.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (tan.f64 x))) #s(literal 2 binary64)))

Outputs
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 23/360 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))
(*.f64 x (/.f64 (cos.f64 x) (sin.f64 x)))
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) x) (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 x (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) x)))
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) x) (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 x (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) x)))
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) x) (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 x (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) x)))
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))
(*.f64 x (/.f64 (cos.f64 x) (sin.f64 x)))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 (cos.f64 x) x))))
(neg.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) x))))
(*.f64 x (neg.f64 (-.f64 (/.f64 (cos.f64 x) x) (/.f64 (cos.f64 x) (sin.f64 x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 (cos.f64 x) x))))
(neg.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) x))))
(*.f64 x (neg.f64 (-.f64 (/.f64 (cos.f64 x) x) (/.f64 (cos.f64 x) (sin.f64 x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 (cos.f64 x) x))))
(neg.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) x))))
(*.f64 x (neg.f64 (-.f64 (/.f64 (cos.f64 x) x) (/.f64 (cos.f64 x) (sin.f64 x)))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/120 binary64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/120 binary64)))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/120 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/5040 binary64) (.f64 #s(literal -1/362880 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/120 binary64)))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/5040 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/362880 binary64))) #s(literal -1/120 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sin.f64 x)) x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sin.f64 x)) x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sin.f64 x)) x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)))
x
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))))
(neg.f64 (*.f64 x (+.f64 (/.f64 (sin.f64 x) x) #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x)) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))))
(neg.f64 (*.f64 x (+.f64 (/.f64 (sin.f64 x) x) #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x)) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))))
(neg.f64 (*.f64 x (+.f64 (/.f64 (sin.f64 x) x) #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x)) (neg.f64 x))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64))))
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64)))))
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)))))
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))))
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64))))))
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal 1/3 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal 17/315 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 17/315 binary64))))))))
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
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(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x))) (fma.f64 #s(literal -1 binary64) (sin.f64 x) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 x (sin.f64 x))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x))) (fma.f64 #s(literal -1 binary64) (sin.f64 x) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 x (sin.f64 x))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x))) (fma.f64 #s(literal -1 binary64) (sin.f64 x) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 x (sin.f64 x))))
(fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) x)
(-.f64 x (sin.f64 x))
(fma.f64 #s(literal -1 binary64) (sin.f64 x) x)
(-.f64 x (sin.f64 x))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x)))) (cbrt.f64 (neg.f64 (sin.f64 x))) x)
(-.f64 x (sin.f64 x))
(fma.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (sqrt.f64 (neg.f64 (sin.f64 x))) x)
(-.f64 x (sin.f64 x))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (sin.f64 x)))
(+.f64 (-.f64 x (sin.f64 x)) (fma.f64 #s(literal -1 binary64) (sin.f64 x) (sin.f64 x)))
(+.f64 (-.f64 x (sin.f64 x)) (*.f64 (sin.f64 x) #s(literal 0 binary64)))
(-.f64 x (fma.f64 (sin.f64 x) #s(literal 0 binary64) (sin.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 x)))
(+.f64 (-.f64 x (sin.f64 x)) (fma.f64 #s(literal -1 binary64) (sin.f64 x) (sin.f64 x)))
(+.f64 (-.f64 x (sin.f64 x)) (*.f64 (sin.f64 x) #s(literal 0 binary64)))
(-.f64 x (fma.f64 (sin.f64 x) #s(literal 0 binary64) (sin.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(+.f64 (-.f64 x (sin.f64 x)) (fma.f64 #s(literal -1 binary64) (sin.f64 x) (sin.f64 x)))
(+.f64 (-.f64 x (sin.f64 x)) (*.f64 (sin.f64 x) #s(literal 0 binary64)))
(-.f64 x (fma.f64 (sin.f64 x) #s(literal 0 binary64) (sin.f64 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 x)) x)
(-.f64 x (sin.f64 x))
(+.f64 #s(literal 0 binary64) (sin.f64 x))
(sin.f64 x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) (cbrt.f64 (exp.f64 (sin.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sin.f64 x)))
(-.f64 (.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (cos.f64 #s(literal 1 binary64))) (.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (sin.f64 #s(literal 1 binary64))))
(-.f64 (.f64 (sin.f64 (+.f64 x #s(literal 1 binary64))) (cos.f64 #s(literal 1 binary64))) (.f64 (cos.f64 (+.f64 x #s(literal 1 binary64))) (sin.f64 #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(literal 1 binary64))
(sin.f64 x)
(*.f64 (sin.f64 x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(sin.f64 x)
(*.f64 #s(literal 1 binary64) (sin.f64 x))
(sin.f64 x)
(*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)))
(sin.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 x)))
(sin.f64 x)
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))
(sin.f64 x)
(pow.f64 (sin.f64 x) #s(literal 1 binary64))
(sin.f64 x)
(pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 3 binary64))
(sin.f64 x)
(pow.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sin.f64 x)
(pow.f64 (sqrt.f64 (sin.f64 x)) #s(literal 2 binary64))
(sin.f64 x)
(sqrt.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(fabs.f64 (sin.f64 x))
(log.f64 (exp.f64 (sin.f64 x)))
(sin.f64 x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 x))))
(sin.f64 x)
(cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))
(sin.f64 x)
(expm1.f64 (log1p.f64 (sin.f64 x)))
(log1p.f64 (expm1.f64 (sin.f64 x)))
(sin.f64 x)
(exp.f64 (log.f64 (sin.f64 x)))
(sin.f64 x)
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64)))
(sin.f64 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 x))) #s(literal 3 binary64)))
(sin.f64 x)
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (sin.f64 x))) #s(literal 1/3 binary64)))
(sin.f64 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 x))) #s(literal 2 binary64)))
(sin.f64 x)
(+.f64 #s(literal 0 binary64) (tan.f64 x))
(tan.f64 x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (tan.f64 x))) (cbrt.f64 (exp.f64 (tan.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (tan.f64 x)))
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(*.f64 (tan.f64 x) #s(literal 1 binary64))
(tan.f64 x)
(*.f64 (tan.f64 x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(tan.f64 x)
(*.f64 #s(literal 1 binary64) (tan.f64 x))
(tan.f64 x)
(*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)))
(tan.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 x)))
(tan.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(*.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)))
(tan.f64 x)
(*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(pow.f64 (tan.f64 x) #s(literal 1 binary64))
(tan.f64 x)
(pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 3 binary64))
(tan.f64 x)
(pow.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(tan.f64 x)
(pow.f64 (sqrt.f64 (tan.f64 x)) #s(literal 2 binary64))
(tan.f64 x)
(pow.f64 (/.f64 (cos.f64 x) (sin.f64 x)) #s(literal -1 binary64))
(/.f64 (sin.f64 x) (cos.f64 x))
(sqrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(fabs.f64 (tan.f64 x))
(log.f64 (exp.f64 (tan.f64 x)))
(tan.f64 x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (tan.f64 x))))
(tan.f64 x)
(cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)))
(tan.f64 x)
(expm1.f64 (log1p.f64 (tan.f64 x)))
(log1p.f64 (expm1.f64 (tan.f64 x)))
(tan.f64 x)
(exp.f64 (log.f64 (tan.f64 x)))
(tan.f64 x)
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 1 binary64)))
(tan.f64 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (tan.f64 x))) #s(literal 3 binary64)))
(tan.f64 x)
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (tan.f64 x))) #s(literal 1/3 binary64)))
(tan.f64 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (tan.f64 x))) #s(literal 2 binary64)))
(tan.f64 x)

eval71.0ms (0.6%)

Compiler: Compiled 15618 to 1443 computations (90.8% saved)

prune404.0ms (3.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	520	7	527
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	520	8	528

Accuracy

99.8%

Counts

528 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.7%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
	83.3%	(/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/120 binary64)))) (tan.f64 x))
▶	83.0%	(/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (tan.f64 x))
▶	4.2%	(/.f64 x (tan.f64 x))
▶	99.7%	(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 23/360 binary64)))))
	99.7%	(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))))
▶	52.7%	(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 x (sin.f64 x)))
▶	99.3%	(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))

Compiler

Compiled 158 to 111 computations (29.7% saved)

simplify327.0ms (2.8%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(-.f64 x (sin.f64 x))
	cost-diff	0	(tan.f64 x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (tan.f64 x))
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 x (sin.f64 x)))
	cost-diff	0	(tan.f64 x)
✓	cost-diff	0	(pow.f64 x #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
✓	cost-diff	0	(/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (tan.f64 x))
✓	cost-diff	0	(pow.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
	cost-diff	0	(tan.f64 x)
✓	cost-diff	0	(/.f64 x (tan.f64 x))
✓	cost-diff	-6272	(-.f64 (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 23/360 binary64))
✓	cost-diff	-6272	(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 23/360 binary64)))
✓	cost-diff	0	(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)))
✓	cost-diff	0	(pow.f64 x #s(literal 2 binary64))

Rules

1693×	`fmm-def`
1196×	`fma-define`
763×	`unsub-neg`
542×	`distribute-lft-in`
378×	`neg-mul-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	396
1	59	382
2	129	382
3	329	382
4	780	382
5	1426	382
6	2612	382
7	3077	382
8	4920	382
9	6848	382
10	7398	382
11	7470	382
12	7484	382
13	7484	382
14	7496	382
15	7496	382
16	7496	382

Stop Event

1×	node limit

Calls

Call 1

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

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

localize521.0ms (4.4%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(sin.f64 x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (tan.f64 x))
✓	accuracy	83.4%	(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 x (sin.f64 x)))
	accuracy	69.7%	(-.f64 x (sin.f64 x))
✓	accuracy	100.0%	(pow.f64 x #s(literal 3 binary64))
	accuracy	100.0%	(tan.f64 x)
✓	accuracy	99.8%	(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
✓	accuracy	83.4%	(/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (tan.f64 x))
✓	accuracy	100.0%	(pow.f64 x #s(literal 2 binary64))
✓	accuracy	99.7%	(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
	accuracy	100.0%	(tan.f64 x)
✓	accuracy	100.0%	(/.f64 x (tan.f64 x))
✓	accuracy	100.0%	(+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 23/360 binary64))))
✓	accuracy	99.7%	(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)))
✓	accuracy	99.7%	(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 23/360 binary64)))))
✓	accuracy	99.6%	(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 23/360 binary64)))

Results

322.0ms	172×	2	valid
101.0ms	83×	1	valid
0.0ms	1×	0	valid

Compiler

Compiled 125 to 24 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 305.0ms

backward-pass: 70.0ms (23% of total)

ival-sub: 69.0ms (22.6% of total)

ival-pow: 67.0ms (22% of total)

ival-sin: 47.0ms (15.4% of total)

ival-mult: 20.0ms (6.6% of total)

...c/correct-round.rkt:121:19: 17.0ms (5.6% of total)

ival-div: 8.0ms (2.6% of total)

ival-add: 3.0ms (1% of total)

ival-tan: 2.0ms (0.7% of total)

const: 1.0ms (0.3% of total)

series19.0ms (0.2%)

Counts

13 → 86

Calls

Call 1

Inputs
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 23/360 binary64)))>
#<alt (-.f64 (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 23/360 binary64))>
#<alt (/.f64 x (tan.f64 x))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (tan.f64 x))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 x (sin.f64 x)))>
#<alt (/.f64 #s(literal 1 binary64) (tan.f64 x))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 23/360 binary64)))))>
#<alt (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 23/360 binary64))))>

Outputs
#<alt (*.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt #s(literal -23/360 binary64)>
#<alt (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -2/945 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/45 binary64))) #s(literal 1/3 binary64))))>
#<alt (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))>
#<alt (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))>
#<alt (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))>
#<alt (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))>
#<alt (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))>
#<alt (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))>
#<alt (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))>
#<alt (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/18 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/270 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/18 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2835 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/270 binary64))) #s(literal 1/18 binary64)))))>
#<alt (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 x)) (sin.f64 x)))>
#<alt (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 x)) (sin.f64 x)))>
#<alt (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 x)) (sin.f64 x)))>
#<alt (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 x)) (sin.f64 x)))>
#<alt (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 x)) (sin.f64 x)))>
#<alt (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 x)) (sin.f64 x)))>
#<alt (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 x)) (sin.f64 x)))>
#<alt (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 x)) (sin.f64 x)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 23/360 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64)))))>
#<alt (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) (sin.f64 x))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) (sin.f64 x))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) (sin.f64 x))))>
#<alt (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 (cos.f64 x) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 (cos.f64 x) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 (cos.f64 x) x))))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -2/945 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/45 binary64))) #s(literal 1/3 binary64)))) x)>
#<alt (/.f64 (cos.f64 x) (sin.f64 x))>
#<alt (/.f64 (cos.f64 x) (sin.f64 x))>
#<alt (/.f64 (cos.f64 x) (sin.f64 x))>
#<alt (/.f64 (cos.f64 x) (sin.f64 x))>
#<alt (/.f64 (cos.f64 x) (sin.f64 x))>
#<alt (/.f64 (cos.f64 x) (sin.f64 x))>
#<alt (/.f64 (cos.f64 x) (sin.f64 x))>
#<alt (/.f64 (cos.f64 x) (sin.f64 x))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 6 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 11/15120 binary64) (.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 11/15120 binary64) (.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 6 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 11/15120 binary64) (.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 11/15120 binary64) (.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt #s(literal 1/6 binary64)>
#<alt (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 11/15120 binary64) (.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 11/15120 binary64) (.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 11/15120 binary64) (.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 11/15120 binary64) (.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>

Calls

39 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/ (* 1/6 (pow x 3)) (tan x))
2.0ms	x	@	0	(/ (* 1/6 (pow x 3)) (tan x))
1.0ms	x	@	inf	(/ x (tan x))
1.0ms	x	@	-inf	(/ x (tan x))
1.0ms	x	@	0	(pow x 2)

rewrite233.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

871×	`prod-diff`
376×	`log1p-expm1-u`
184×	`expm1-log1p-u`
181×	`associate-r`
181×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	302
1	425	294
2	5877	294

Stop Event

1×	node limit

Counts

13 → 347

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) x))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
(.f64 (.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1331/3456649728000 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal -11/15120 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -11/15120 binary64)) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1331/3456649728000 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)))
(+.f64 (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))) #s(literal 1 binary64))
(/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1331/3456649728000 binary64)) #s(literal -12167/46656000 binary64))) (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64)) (+.f64 #s(literal 529/129600 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -253/5443200 binary64)))))
(/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64)) #s(literal -529/129600 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal 23/360 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1331/3456649728000 binary64)) #s(literal -12167/46656000 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64)) (+.f64 #s(literal 529/129600 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -253/5443200 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64)) #s(literal -529/129600 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal 23/360 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))
(+.f64 #s(literal -23/360 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))
(.f64 (+.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1331/3456649728000 binary64)) #s(literal -12167/46656000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64)) (+.f64 #s(literal 529/129600 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -253/5443200 binary64))))))
(.f64 (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64)) #s(literal -529/129600 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64)) (+.f64 #s(literal 529/129600 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -253/5443200 binary64)))) (+.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1331/3456649728000 binary64)) #s(literal -12167/46656000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal 23/360 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64)) #s(literal -529/129600 binary64))))
(/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1331/3456649728000 binary64)) #s(literal -12167/46656000 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64)) (+.f64 #s(literal 529/129600 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -253/5443200 binary64)))))
(/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1331/3456649728000 binary64)) #s(literal -12167/46656000 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64)) (-.f64 #s(literal 529/129600 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))))
(/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64)) #s(literal -529/129600 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal 23/360 binary64)))
(/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64)) #s(literal -529/129600 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1331/3456649728000 binary64)) #s(literal -12167/46656000 binary64))) (neg.f64 (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64)) (+.f64 #s(literal 529/129600 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -253/5443200 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64)) #s(literal -529/129600 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))))
(pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64))) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))
(fma.f64 (.f64 x (sqrt.f64 #s(literal -11/15120 binary64))) (.f64 x (sqrt.f64 #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (tan.f64 x)))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(*.f64 (/.f64 x (tan.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x (tan.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x)
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (tan.f64 x)))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(*.f64 (cbrt.f64 (/.f64 x (tan.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x (tan.f64 x))))
(*.f64 (sqrt.f64 (/.f64 x (tan.f64 x))) (sqrt.f64 (/.f64 x (tan.f64 x))))
(*.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) (/.f64 x (sqrt.f64 (tan.f64 x))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (tan.f64 x)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 (tan.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (tan.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x (tan.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (tan.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (tan.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (tan.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 (tan.f64 x))))
(.f64 (.f64 x (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (tan.f64 x))))
(.f64 (.f64 x (pow.f64 (tan.f64 x) #s(literal -1/2 binary64))) (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(pow.f64 (/.f64 x (tan.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x (tan.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x (tan.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x (tan.f64 x))) #s(literal 2 binary64))
(pow.f64 (/.f64 (tan.f64 x) x) #s(literal -1 binary64))
(neg.f64 (/.f64 x (neg.f64 (tan.f64 x))))
(neg.f64 (/.f64 (neg.f64 x) (tan.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 x (tan.f64 x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x (tan.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (tan.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 x (tan.f64 x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x (tan.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 x (tan.f64 x))))
(exp.f64 (log.f64 (/.f64 x (tan.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (tan.f64 x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 1/6 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))))
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(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) #s(literal 1/6 binary64))
(fma.f64 (.f64 x (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) (.f64 x (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) #s(literal 1/6 binary64))

simplify230.0ms (2%)

Algorithm

1×	egg-herbie

Rules

579×	`associate-r`
570×	`associate-l`
488×	`fmm-def`
359×	`exp-prod`
336×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	812	15638
1	1825	14691
2	6585	14683

Stop Event

1×	node limit

Counts

433 → 485

Calls

Call 1

Inputs
(*.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(literal -23/360 binary64)
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -2/945 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/45 binary64))) #s(literal 1/3 binary64))))
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/18 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/270 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/18 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2835 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/270 binary64))) #s(literal 1/18 binary64)))))
(.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 x)) (sin.f64 x)))
(.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 x)) (sin.f64 x)))
(.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 x)) (sin.f64 x)))
(.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 x)) (sin.f64 x)))
(.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 x)) (sin.f64 x)))
(.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 x)) (sin.f64 x)))
(.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 x)) (sin.f64 x)))
(.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 x)) (sin.f64 x)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 23/360 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64)))))
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) (sin.f64 x))))
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) (sin.f64 x))))
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 (cos.f64 x) x))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 (cos.f64 x) x))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 (cos.f64 x) x))))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -2/945 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/45 binary64))) #s(literal 1/3 binary64)))) x)
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 6 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 11/15120 binary64) (.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 11/15120 binary64) (.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 6 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 11/15120 binary64) (.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 11/15120 binary64) (.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(literal 1/6 binary64)
(+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 11/15120 binary64) (.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 11/15120 binary64) (.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 11/15120 binary64) (.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 11/15120 binary64) (.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) x))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
(.f64 (.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1331/3456649728000 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal -11/15120 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -11/15120 binary64)) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1331/3456649728000 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)))
(+.f64 (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))) #s(literal 1 binary64))
(/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1331/3456649728000 binary64)) #s(literal -12167/46656000 binary64))) (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64)) (+.f64 #s(literal 529/129600 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -253/5443200 binary64)))))
(/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64)) #s(literal -529/129600 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal 23/360 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1331/3456649728000 binary64)) #s(literal -12167/46656000 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64)) (+.f64 #s(literal 529/129600 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -253/5443200 binary64)))))
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(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64)) (.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (.f64 x (sqrt.f64 #s(literal 1/6 binary64))) (.f64 x (sqrt.f64 #s(literal 1/6 binary64))) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 3 binary64)) #s(literal 1/216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))))))
(.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))) (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 3 binary64)) #s(literal 1/216 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) (-.f64 #s(literal 1/36 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 3 binary64)) #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 3 binary64)) #s(literal 1/216 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))))
(/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 3 binary64)) #s(literal 1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64))) #s(literal 1/36 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))
(pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) #s(literal 1/6 binary64))
(fma.f64 (.f64 x (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) (.f64 x (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) #s(literal 1/6 binary64))

Outputs
(*.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(neg.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -11/15120 binary64) (neg.f64 (/.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(neg.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -11/15120 binary64) (neg.f64 (/.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(neg.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal 2 binary64))))))
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(pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
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(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) #s(literal 3 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) #s(literal 2 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
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(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
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(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) #s(literal 1/6 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(fma.f64 (.f64 x (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) (.f64 x (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) #s(literal 1/6 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))

eval112.0ms (1%)

Compiler: Compiled 13666 to 2402 computations (82.4% saved)

prune110.0ms (0.9%)

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	825	13	838
Fresh	1	1	2
Picked	3	2	5
Done	0	1	1
Total	829	17	846

Accuracy

100.0%

Counts

846 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.4%	(pow.f64 (/.f64 (*.f64 x (cbrt.f64 #s(literal 1/6 binary64))) (cbrt.f64 (tan.f64 x))) #s(literal 3 binary64))
	99.2%	(pow.f64 (*.f64 x (sqrt.f64 #s(literal 1/6 binary64))) #s(literal 2 binary64))
✓	52.7%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
▶	83.3%	(/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/120 binary64)))) (tan.f64 x))
✓	83.0%	(/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (tan.f64 x))
	99.7%	(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))
▶	99.7%	(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)))))
	99.5%	(*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
✓	52.7%	(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 x (sin.f64 x)))
	52.6%	(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 x (sin.f64 x)))
	99.1%	(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 1/6 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 1/6 binary64))) (tan.f64 x)))
▶	99.2%	(.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)))
	98.4%	(.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x)))
	99.3%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
	95.2%	(.f64 #s(literal 1/6 binary64) (exp.f64 (.f64 #s(literal 2 binary64) (log.f64 x))))
▶	76.7%	(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))
▶	4.2%	#s(literal 1 binary64)

Compiler

Compiled 329 to 233 computations (29.2% saved)

simplify53.0ms (0.5%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(tan.f64 x)
	cost-diff	0	(pow.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/120 binary64))
	cost-diff	0	(pow.f64 x #s(literal 3 binary64))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(pow.f64 x #s(literal 3/2 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
✓	cost-diff	0	(.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)))
✓	cost-diff	0	(pow.f64 x #s(literal 4 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))
✓	cost-diff	0	(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))
✓	cost-diff	-12608	(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)))
✓	cost-diff	-6336	(*.f64 x x)
✓	cost-diff	-6336	(.f64 #s(literal -11/15120 binary64) (.f64 x x))
	cost-diff	0	(pow.f64 x #s(literal 2 binary64))

Rules

394×	`fma-define`
211×	`associate-r`
165×	`associate-l`
77×	`distribute-lft-in`
76×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	478
1	78	458
2	173	458
3	392	458
4	700	458
5	997	458
6	1205	458
7	1316	458
8	1361	458
9	1373	458

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)))))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64))))
#s(literal 1/6 binary64)
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)))
(-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64))
(.f64 #s(literal -11/15120 binary64) (.f64 x x))
#s(literal -11/15120 binary64)
(*.f64 x x)
#s(literal 23/360 binary64)
#s(literal 1 binary64)
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 1/36 binary64)
(.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)))
#s(literal 1/6 binary64)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
(pow.f64 x #s(literal 3/2 binary64))
x
#s(literal 3/2 binary64)
(sqrt.f64 x)
(/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/120 binary64)))) (tan.f64 x))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/120 binary64))))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/120 binary64)))
#s(literal 1/6 binary64)
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/120 binary64))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal -1/120 binary64)
(tan.f64 x)

Outputs
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64))))
(+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))
(-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64))
(fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(.f64 #s(literal -11/15120 binary64) (.f64 x x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64))
#s(literal -11/15120 binary64)
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
#s(literal 23/360 binary64)
#s(literal 1 binary64)
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))
(*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 1/36 binary64)
(.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)))
#s(literal 1/6 binary64)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
(pow.f64 x #s(literal 3/2 binary64))
x
#s(literal 3/2 binary64)
(sqrt.f64 x)
(/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/120 binary64)))) (tan.f64 x))
(.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/120 binary64))) (tan.f64 x)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) (tan.f64 x)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/120 binary64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/120 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/120 binary64))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal -1/120 binary64)
(tan.f64 x)

localize201.0ms (1.7%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(tan.f64 x)
✓	accuracy	99.8%	(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/120 binary64))
✓	accuracy	99.8%	(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/120 binary64))))
✓	accuracy	83.4%	(/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/120 binary64)))) (tan.f64 x))
✓	accuracy	100.0%	(pow.f64 x #s(literal 3/2 binary64))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.7%	(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
✓	accuracy	99.7%	(.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)))
✓	accuracy	100.0%	(pow.f64 x #s(literal 4 binary64))
✓	accuracy	99.9%	(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))
✓	accuracy	77.1%	(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))
✓	accuracy	100.0%	(+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64))))
✓	accuracy	99.7%	(.f64 #s(literal -11/15120 binary64) (.f64 x x))
✓	accuracy	99.7%	(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)))))
✓	accuracy	99.6%	(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)))

Results

155.0ms

256×

valid

Compiler

Compiled 156 to 32 computations (79.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

...c/correct-round.rkt:121:19: 24.0ms (30.6% of total)

ival-pow: 21.0ms (26.8% of total)

ival-mult: 20.0ms (25.5% of total)

ival-sqrt: 4.0ms (5.1% of total)

ival-add: 3.0ms (3.8% of total)

ival-div: 2.0ms (2.5% of total)

ival-tan: 2.0ms (2.5% of total)

ival-sub: 1.0ms (1.3% of total)

const: 1.0ms (1.3% of total)

backward-pass: 0.0ms (0% of total)

series118.0ms (1%)

Counts

15 → 160

Calls

Call 1

Inputs
#<alt (.f64 #s(literal -11/15120 binary64) (.f64 x x))>
#<alt (*.f64 x x)>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)))>
#<alt (sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))>
#<alt (pow.f64 x #s(literal 4 binary64))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)))>
#<alt (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))>
#<alt (pow.f64 x #s(literal 3/2 binary64))>
#<alt (sqrt.f64 x)>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/120 binary64))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)))))>
#<alt (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64))))>
#<alt (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/120 binary64)))) (tan.f64 x))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/120 binary64))))>

Outputs
#<alt (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 23/360 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 23/360 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 23/360 binary64)))>
#<alt (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))>
#<alt (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))>
#<alt (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))>
#<alt (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))>
#<alt (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))>
#<alt (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))>
#<alt (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))>
#<alt (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 23/360 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 23/360 binary64)))))>
#<alt (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 6 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 11/15120 binary64) (.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 11/15120 binary64) (.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 6 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 11/15120 binary64) (.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 11/15120 binary64) (.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt #s(literal 1/6 binary64)>
#<alt (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 23/360 binary64))))>
#<alt (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 23/360 binary64))))>
#<alt (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 11/15120 binary64) (.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 11/15120 binary64) (.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 11/15120 binary64) (.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 11/15120 binary64) (.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/1080 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 23/360 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -19/113400 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/1080 binary64))) #s(literal 23/360 binary64)))))>
#<alt (.f64 #s(literal -1/120 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 5 binary64)) (cos.f64 x)) (sin.f64 x)))>
#<alt (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (.f64 #s(literal -1/120 binary64) (/.f64 (cos.f64 x) (sin.f64 x))) (.f64 #s(literal 1/6 binary64) (/.f64 (cos.f64 x) (.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 x))))))>
#<alt (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (.f64 #s(literal -1/120 binary64) (/.f64 (cos.f64 x) (sin.f64 x))) (.f64 #s(literal 1/6 binary64) (/.f64 (cos.f64 x) (.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 x))))))>
#<alt (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (.f64 #s(literal -1/120 binary64) (/.f64 (cos.f64 x) (sin.f64 x))) (.f64 #s(literal 1/6 binary64) (/.f64 (cos.f64 x) (.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 x))))))>
#<alt (.f64 #s(literal -1/120 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 5 binary64)) (cos.f64 x)) (sin.f64 x)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) (.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 x)))) (*.f64 #s(literal 1/120 binary64) (/.f64 (cos.f64 x) (sin.f64 x))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) (.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 x)))) (*.f64 #s(literal 1/120 binary64) (/.f64 (cos.f64 x) (sin.f64 x))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) (.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 x)))) (*.f64 #s(literal 1/120 binary64) (/.f64 (cos.f64 x) (sin.f64 x))))))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/120 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/120 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/120 binary64)))>
#<alt (*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>

Calls

45 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(* (pow x 3) (+ 1/6 (* (pow x 2) -1/120)))
1.0ms	x	@	-inf	(* 1/6 (* (pow x 3/2) (sqrt x)))
1.0ms	x	@	-inf	(/ (* (pow x 3) (+ 1/6 (* (pow x 2) -1/120))) (tan x))
1.0ms	x	@	-inf	(pow x 3/2)
1.0ms	x	@	inf	(/ (* (pow x 3) (+ 1/6 (* (pow x 2) -1/120))) (tan x))

rewrite320.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

965×	`prod-diff`
236×	`associate-r`
214×	`log1p-expm1-u`
214×	`expm1-log1p-u`
202×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	349
1	508	325
2	6552	325

Stop Event

1×	node limit

Counts

15 → 347

Calls

Call 1

Inputs
(.f64 #s(literal -11/15120 binary64) (.f64 x x))
(*.f64 x x)
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))
(pow.f64 x #s(literal 4 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
(pow.f64 x #s(literal 3/2 binary64))
(sqrt.f64 x)
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/120 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)))))
(+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64))))
(/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/120 binary64)))) (tan.f64 x))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/120 binary64))))

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1331/3456649728000 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal -11/15120 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -11/15120 binary64)) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1331/3456649728000 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)))
(+.f64 (.f64 (.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))))) #s(literal 1 binary64))
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(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 3 binary64)))))

simplify317.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

587×	`associate-l`
581×	`associate-r`
408×	`fmm-def`
370×	`exp-prod`
308×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	758	16293
1	1650	15474
2	5925	15234

Stop Event

1×	node limit

Counts

507 → 446

Calls

Call 1

Inputs
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 23/360 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 23/360 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 23/360 binary64)))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 23/360 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 23/360 binary64)))))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 6 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 11/15120 binary64) (.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 11/15120 binary64) (.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 6 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 11/15120 binary64) (.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 11/15120 binary64) (.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(literal 1/6 binary64)
(+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 23/360 binary64))))
(+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 23/360 binary64))))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 11/15120 binary64) (.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 11/15120 binary64) (.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 11/15120 binary64) (.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 11/15120 binary64) (.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/1080 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 23/360 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -19/113400 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/1080 binary64))) #s(literal 23/360 binary64)))))
(.f64 #s(literal -1/120 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 5 binary64)) (cos.f64 x)) (sin.f64 x)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (.f64 #s(literal -1/120 binary64) (/.f64 (cos.f64 x) (sin.f64 x))) (.f64 #s(literal 1/6 binary64) (/.f64 (cos.f64 x) (.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 x))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (.f64 #s(literal -1/120 binary64) (/.f64 (cos.f64 x) (sin.f64 x))) (.f64 #s(literal 1/6 binary64) (/.f64 (cos.f64 x) (.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 x))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (.f64 #s(literal -1/120 binary64) (/.f64 (cos.f64 x) (sin.f64 x))) (.f64 #s(literal 1/6 binary64) (/.f64 (cos.f64 x) (.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 x))))))
(.f64 #s(literal -1/120 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 5 binary64)) (cos.f64 x)) (sin.f64 x)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) (.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 x)))) (*.f64 #s(literal 1/120 binary64) (/.f64 (cos.f64 x) (sin.f64 x))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) (.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 x)))) (*.f64 #s(literal 1/120 binary64) (/.f64 (cos.f64 x) (sin.f64 x))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) (.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 x)))) (*.f64 #s(literal 1/120 binary64) (/.f64 (cos.f64 x) (sin.f64 x))))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/120 binary64)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/120 binary64)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/120 binary64)))
(*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64)))
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(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 3 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 3 binary64)))))) (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/1728000 binary64)) #s(literal 1/216 binary64))) (-.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64))) (.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/1728000 binary64)) #s(literal 1/216 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64))) (.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64))) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal 1/6 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal 1/6 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 3 binary64)))))

Outputs
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 23/360 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 23/360 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 23/360 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(neg.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (+.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(neg.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (+.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(neg.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (+.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(neg.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (+.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(neg.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (+.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(neg.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (+.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))
(*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))
(*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))
(*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))
(*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))
(*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))
(*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))
(*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))
(*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))
(*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))
(*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))
(*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(neg.f64 (pow.f64 x #s(literal 2 binary64)))
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(fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))

eval98.0ms (0.8%)

Compiler: Compiled 10189 to 1891 computations (81.4% saved)

prune97.0ms (0.8%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	564	7	571
Fresh	5	4	9
Picked	3	2	5
Done	2	1	3
Total	574	14	588

Accuracy

100.0%

Counts

588 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(pow.f64 (*.f64 x (sqrt.f64 #s(literal 1/6 binary64))) #s(literal 2 binary64))
	83.3%	(/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64)))) (tan.f64 x))
✓	83.0%	(/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (tan.f64 x))
▶	99.7%	(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)))))
	99.5%	(*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
▶	52.6%	(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 x (sin.f64 x)))
▶	99.3%	(.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 x))
	99.4%	(.f64 (.f64 #s(literal 1/6 binary64) x) x)
	99.1%	(.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
▶	98.9%	(.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))))
	99.2%	(.f64 #s(literal 1/6 binary64) (.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (sqrt.f64 x)))
▶	99.3%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	76.7%	(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))
✓	4.2%	#s(literal 1 binary64)

Compiler

Compiled 266 to 187 computations (29.7% saved)

simplify351.0ms (3%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))
	cost-diff	0	(pow.f64 x #s(literal 3/2 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64))))
✓	cost-diff	0	(.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))))
	cost-diff	0	(sqrt.f64 x)
	cost-diff	0	(pow.f64 x #s(literal 3/2 binary64))
✓	cost-diff	0	(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3/2 binary64)))
✓	cost-diff	0	(.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 x))
	cost-diff	0	(sin.f64 x)
	cost-diff	0	(-.f64 x (sin.f64 x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 x (sin.f64 x)))
	cost-diff	-6336	(*.f64 x x)
✓	cost-diff	-6336	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	cost-diff	-12608	(-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64))
	cost-diff	-6336	(.f64 #s(literal -11/15120 binary64) (.f64 x x))
	cost-diff	-6336	(*.f64 x x)
	cost-diff	0	(pow.f64 x #s(literal 2 binary64))

Rules

2333×	`fma-define`
531×	`distribute-lft-in`
337×	`distribute-lft-neg-out`
267×	`div-sub`
257×	`neg-mul-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	454
1	70	440
2	153	437
3	347	437
4	710	437
5	1312	437
6	2311	437
7	2839	437
8	5143	437
9	6172	437
10	6413	437
11	6415	437
12	7557	437
13	7557	437
14	7557	437
15	7557	437
16	7561	437

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)))))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64))))
#s(literal 1/6 binary64)
(.f64 (.f64 x x) (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)))
(*.f64 x x)
(-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64))
(.f64 #s(literal -11/15120 binary64) (.f64 x x))
#s(literal -11/15120 binary64)
#s(literal 23/360 binary64)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
#s(literal 1/6 binary64)
(*.f64 x x)
x
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 x (sin.f64 x)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 x (sin.f64 x))
(sin.f64 x)
(.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 x))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3/2 binary64)))
#s(literal 1/6 binary64)
(pow.f64 x #s(literal 3/2 binary64))
x
#s(literal 3/2 binary64)
(sqrt.f64 x)
(.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))))
#s(literal 1/6 binary64)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64))))
(pow.f64 x #s(literal 3/2 binary64))
x
#s(literal 3/2 binary64)
(cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))

Outputs
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64))))
(+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(.f64 (.f64 x x) (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64))
(fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(.f64 #s(literal -11/15120 binary64) (.f64 x x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64))
#s(literal -11/15120 binary64)
#s(literal 23/360 binary64)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1/6 binary64)
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
x
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 x (sin.f64 x)))
(/.f64 (-.f64 x (sin.f64 x)) x)
(-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 x (sin.f64 x))
(sin.f64 x)
(.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 x))
(.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3/2 binary64)))
#s(literal 1/6 binary64)
(pow.f64 x #s(literal 3/2 binary64))
x
#s(literal 3/2 binary64)
(sqrt.f64 x)
(.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 #s(literal 1/6 binary64) (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))))
#s(literal 1/6 binary64)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64))))
(pow.f64 x #s(literal 3/2 binary64))
x
#s(literal 3/2 binary64)
(cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))

localize302.0ms (2.6%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(pow.f64 x #s(literal 3/2 binary64))
✓	accuracy	99.7%	(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64))))
✓	accuracy	99.7%	(.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))))
✓	accuracy	71.2%	(cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))
	accuracy	100.0%	(pow.f64 x #s(literal 3/2 binary64))
	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.7%	(.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 x))
✓	accuracy	99.6%	(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3/2 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
	accuracy	100.0%	(sin.f64 x)
✓	accuracy	83.4%	(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 x (sin.f64 x)))
	accuracy	69.7%	(-.f64 x (sin.f64 x))
	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.7%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	accuracy	100.0%	(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64))))
	accuracy	99.7%	(.f64 #s(literal -11/15120 binary64) (.f64 x x))
✓	accuracy	99.7%	(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)))))
✓	accuracy	99.6%	(.f64 (.f64 x x) (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)))

Results

203.0ms	172×	2	valid
58.0ms	83×	1	valid
0.0ms	1×	0	valid

Compiler

Compiled 144 to 27 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 181.0ms

ival-sin: 47.0ms (26% of total)

...c/correct-round.rkt:121:19: 33.0ms (18.2% of total)

ival-mult: 30.0ms (16.6% of total)

backward-pass: 27.0ms (14.9% of total)

ival-pow: 25.0ms (13.8% of total)

ival-sub: 8.0ms (4.4% of total)

ival-cbrt: 3.0ms (1.7% of total)

ival-div: 2.0ms (1.1% of total)

ival-sqrt: 2.0ms (1.1% of total)

ival-add: 2.0ms (1.1% of total)

const: 1.0ms (0.6% of total)

series15.0ms (0.1%)

Counts

12 → 132

Calls

Call 1

Inputs
#<alt (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 x x))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 x (sin.f64 x)))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 x))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3/2 binary64)))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64))))>
#<alt (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))>
#<alt (.f64 (.f64 x x) (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)))))>
#<alt (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64))))>

Outputs
#<alt #s(literal -23/360 binary64)>
#<alt (-.f64 (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 23/360 binary64))>
#<alt (-.f64 (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 23/360 binary64))>
#<alt (-.f64 (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 23/360 binary64))>
#<alt (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/120 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/5040 binary64) (.f64 #s(literal -1/362880 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/120 binary64)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))>
#<alt (*.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 23/360 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 23/360 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 23/360 binary64)))>
#<alt (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 23/360 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 23/360 binary64)))))>
#<alt (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 6 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 11/15120 binary64) (.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 11/15120 binary64) (.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 6 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 11/15120 binary64) (.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 11/15120 binary64) (.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt #s(literal 1/6 binary64)>
#<alt (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 23/360 binary64))))>
#<alt (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 23/360 binary64))))>
#<alt (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 11/15120 binary64) (.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 11/15120 binary64) (.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 11/15120 binary64) (.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 11/15120 binary64) (.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>

Calls

36 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	(* 1/6 (* (pow x 3/2) (cbrt (pow x 3/2))))
2.0ms	x	@	-inf	(cbrt (pow x 3/2))
1.0ms	x	@	-inf	(* 1/6 (pow x 3/2))
0.0ms	x	@	0	(* 1/6 (pow x 3/2))
0.0ms	x	@	inf	(* (/ 1 x) (- x (sin x)))

rewrite418.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1133×	`log1p-expm1-u`
339×	`expm1-log1p-u`
225×	`associate-r`
185×	`pow1`
176×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	287
1	468	254
2	5986	254

Stop Event

1×	node limit

Counts

12 → 281

Calls

Call 1

Inputs
(-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 x (sin.f64 x)))
(/.f64 #s(literal 1 binary64) x)
(.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 x))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64))))
(cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 x x) (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)))))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64))))

Outputs
(+.f64 (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -23/360 binary64))
(+.f64 #s(literal -23/360 binary64) (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)))
(*.f64 (cbrt.f64 (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))) (sqrt.f64 (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))))
(.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1331/3456649728000 binary64)) #s(literal -12167/46656000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64)) (+.f64 #s(literal 529/129600 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -253/5443200 binary64))))))
(.f64 (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64)) #s(literal -529/129600 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 23/360 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64)) (+.f64 #s(literal 529/129600 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -253/5443200 binary64)))) (+.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1331/3456649728000 binary64)) #s(literal -12167/46656000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 23/360 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64)) #s(literal -529/129600 binary64))))
(/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1331/3456649728000 binary64)) #s(literal -12167/46656000 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64)) (+.f64 #s(literal 529/129600 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -253/5443200 binary64)))))
(/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1331/3456649728000 binary64)) #s(literal -12167/46656000 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64)) (-.f64 #s(literal 529/129600 binary64) (.f64 (.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -23/360 binary64)))))
(/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64)) #s(literal -529/129600 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 23/360 binary64)))
(/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64)) #s(literal -529/129600 binary64)) (-.f64 (.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -23/360 binary64)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1331/3456649728000 binary64)) #s(literal -12167/46656000 binary64))) (neg.f64 (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64)) (+.f64 #s(literal 529/129600 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -253/5443200 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64)) #s(literal -529/129600 binary64))) (neg.f64 (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 23/360 binary64))))
(pow.f64 (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)))))
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(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))) #s(literal 3 binary64)) #s(literal 1/216 binary64)) (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)))))))
(/.f64 (-.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))) #s(literal 3 binary64)) #s(literal 1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))
(pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))) #s(literal 2 binary64))) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)))) #s(literal 1/6 binary64))
(fma.f64 (.f64 x (sqrt.f64 (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)))) (.f64 x (sqrt.f64 (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)))) #s(literal 1/6 binary64))

simplify529.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

449×	`cancel-sign-sub-inv`
419×	`distribute-lft-neg-in`
404×	`distribute-rgt-neg-in`
319×	`associate-r`
302×	`fmm-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	605	4294980068
1	1324	4294979657
2	4458	4294979501

Stop Event

1×	node limit

Counts

413 → 361

Calls

Call 1

Inputs
#s(literal -23/360 binary64)
(-.f64 (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 23/360 binary64))
(-.f64 (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 23/360 binary64))
(-.f64 (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 23/360 binary64))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/120 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/5040 binary64) (.f64 #s(literal -1/362880 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/120 binary64)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))
(.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))
(.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))
(.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))
(sqrt.f64 x)
(sqrt.f64 x)
(sqrt.f64 x)
(sqrt.f64 x)
(sqrt.f64 x)
(sqrt.f64 x)
(sqrt.f64 x)
(sqrt.f64 x)
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))
(*.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 23/360 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 23/360 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 23/360 binary64)))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
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(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) (*.f64 (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64)) (.f64 (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (.f64 x (sqrt.f64 #s(literal 1/6 binary64))) (.f64 x (sqrt.f64 #s(literal 1/6 binary64))) (*.f64 (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) x (.f64 (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))))) (/.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))) #s(literal 3 binary64)) #s(literal 1/216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))))))
(.f64 (-.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))) (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))) #s(literal 3 binary64)) #s(literal 1/216 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)))) (-.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))) #s(literal 3 binary64)) #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))) #s(literal 3 binary64)) #s(literal 1/216 binary64)) (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)))))))
(/.f64 (-.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))) #s(literal 3 binary64)) #s(literal 1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))
(pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))) #s(literal 2 binary64))) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)))) #s(literal 1/6 binary64))
(fma.f64 (.f64 x (sqrt.f64 (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)))) (.f64 x (sqrt.f64 (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64)))) #s(literal 1/6 binary64))

Outputs
#s(literal -23/360 binary64)
(-.f64 (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 23/360 binary64))
(fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))
(-.f64 (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 23/360 binary64))
(fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))
(-.f64 (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 23/360 binary64))
(fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
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eval84.0ms (0.7%)

Compiler: Compiled 11815 to 2136 computations (81.9% saved)

prune97.0ms (0.8%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	710	5	715
Fresh	3	3	6
Picked	3	2	5
Done	1	2	3
Total	717	12	729

Accuracy

100.0%

Counts

729 → 12

Alt Table

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Status	Accuracy	Program
	99.2%	(pow.f64 (*.f64 x (sqrt.f64 #s(literal 1/6 binary64))) #s(literal 2 binary64))
	83.3%	(/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64)))) (tan.f64 x))
	99.1%	(.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 1/6 binary64))) #s(literal 2 binary64)) (sqrt.f64 x))
	82.9%	(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
	99.7%	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)))))
✓	99.3%	(.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 x))
	99.2%	(.f64 (.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))) (sqrt.f64 x))
	99.4%	(.f64 (.f64 #s(literal 1/6 binary64) x) x)
	97.9%	(*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))
✓	99.3%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	76.7%	(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))
✓	4.2%	#s(literal 1 binary64)

Compiler

Compiled 447 to 197 computations (55.9% saved)

regimes22.0ms (0.2%)

Counts

33 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)))))
(/.f64 x (tan.f64 x))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 x (sin.f64 x)))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 1/6 binary64))) #s(literal 2 binary64))
(.f64 #s(literal 1/6 binary64) (exp.f64 (.f64 #s(literal 2 binary64) (log.f64 x))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)))
(.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 x))
(/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (tan.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 x (sin.f64 x)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -23/360 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64)))) (tan.f64 x))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))
(.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))))
(.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x)))
(.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal 1/6 binary64) (.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (sqrt.f64 x)))
(.f64 (.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))) (sqrt.f64 x))
(/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/120 binary64)))) (tan.f64 x))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 23/360 binary64)))))
(pow.f64 (/.f64 (*.f64 x (cbrt.f64 #s(literal 1/6 binary64))) (cbrt.f64 (tan.f64 x))) #s(literal 3 binary64))
(.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 1/6 binary64))) #s(literal 2 binary64)) (sqrt.f64 x))
(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 1/6 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 1/6 binary64))) (tan.f64 x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))

Outputs
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)))))

Calls

2 calls:

11.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
9.0ms	x

Results

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

Compiler

Compiled 10 to 6 computations (40% saved)

regimes2.0ms (0%)

Counts

3 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)

Outputs
(.f64 (.f64 #s(literal 1/6 binary64) x) x)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(.f64 #s(literal 1/6 binary64) (.f64 x x))

Outputs
(.f64 #s(literal 1/6 binary64) (.f64 x x))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
4.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative`
3×	`1-exp`
3×	`+-commutative`
2×	`sub-neg`
1×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	106
1	33	106
2	37	106
3	39	106
4	40	106

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)))))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
#s(literal 1 binary64)

Outputs
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)))))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(.f64 x (.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))
#s(literal 1 binary64)

soundness400.0ms (3.4%)

Rules

965×	`prod-diff`
871×	`prod-diff`
376×	`log1p-expm1-u`
236×	`associate-r`
214×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	302
1	425	294
2	5877	294
0	35	349
1	508	325
2	6552	325

Stop Event

1×	fuel
1×	node limit
1×	node limit

Compiler

Compiled 203 to 83 computations (59.1% saved)

preprocess41.0ms (0.4%)

Remove: (abs x)
Compiler: Compiled 266 to 146 computations (45.1% saved)

analyze2.0ms (0%)

sample4.5s (38%)

preprocess71.0ms (0.6%)

explain289.0ms (2.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify38.0ms (0.3%)

localize97.0ms (0.8%)

series6.0ms (0%)

rewrite687.0ms (5.8%)

simplify608.0ms (5.2%)

eval71.0ms (0.6%)

prune404.0ms (3.4%)

simplify327.0ms (2.8%)

localize521.0ms (4.4%)

series19.0ms (0.2%)

rewrite233.0ms (2%)

simplify230.0ms (2%)

eval112.0ms (1%)

prune110.0ms (0.9%)

simplify53.0ms (0.5%)

localize201.0ms (1.7%)

series118.0ms (1%)

rewrite320.0ms (2.7%)

simplify317.0ms (2.7%)

eval98.0ms (0.8%)

prune97.0ms (0.8%)

simplify351.0ms (3%)

localize302.0ms (2.6%)

series15.0ms (0.1%)

rewrite418.0ms (3.6%)

simplify529.0ms (4.5%)

eval84.0ms (0.7%)

prune97.0ms (0.8%)

regimes22.0ms (0.2%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

simplify3.0ms (0%)

soundness400.0ms (3.4%)

preprocess41.0ms (0.4%)

end0.0ms (0%)

Profiling