Metrics for Hyperbolic secant

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
100%	100%	0%	0%	0%	0%	0%	2

Compiler

Compiled 10 to 9 computations (10% saved)

sample1.3s (26.7%)

Samples

679.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 366.0ms

ival-exp: 162.0ms (44.3% of total)

ival-neg: 91.0ms (24.9% of total)

ival-div: 59.0ms (16.1% of total)

ival-add: 42.0ms (11.5% of total)

ival-true: 6.0ms (1.6% of total)

ival-assert: 4.0ms (1.1% of total)

...in/eval/compile.rkt:70:19: 3.0ms (0.8% of total)

Bogosity

preprocess58.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

40×	`fma-define`
40×	`fmm-def`
24×	`sub-neg`
14×	`distribute-lft-neg-in`
14×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	124
1	35	124
2	67	124
3	113	124
4	170	124
5	231	124
6	286	124
7	302	124
8	309	124
9	320	124
10	332	124
11	334	124

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))))
(neg.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x))))))

Outputs
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(neg.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x))))))
(/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Symmetry

(abs x)

explain88.0ms (1.8%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
-	-	`#s(literal 2 binary64)`
-	-	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
-	-	`(exp.f64 x)`
-	-	`(exp.f64 (neg.f64 x))`
-	-	`(neg.f64 x)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

35.0ms

512×

valid

Compiler

Compiled 68 to 32 computations (52.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-exp: 6.0ms (35.1% of total)

ival-div: 4.0ms (23.4% of total)

ival-add: 3.0ms (17.5% of total)

ival-neg: 3.0ms (17.5% of total)

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

ival-assert: 0.0ms (0% 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
▶	100.0%	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(exp.f64 (neg.f64 x))
✓	cost-diff	(exp.f64 x)
✓	cost-diff	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓	cost-diff	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Rules

6×	`fma-define`
4×	`exp-diff`
4×	`exp-sum`
3×	`1-exp`
3×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	89
1	19	89
2	28	89
3	32	89
4	40	89
5	47	89
6	54	89
7	59	89
8	62	89
9	63	89

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
#s(literal 2 binary64)
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)

Outputs
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
#s(literal 2 binary64)
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)

localize27.0ms (0.5%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(exp.f64 (neg.f64 x))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Samples

19.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-exp: 3.0ms (36.4% of total)

ival-div: 2.0ms (24.2% of total)

ival-add: 1.0ms (12.1% of total)

ival-neg: 1.0ms (12.1% of total)

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Counts

5 → 40

Calls

Call 1

Inputs
#<alt (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))>
#<alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))>
#<alt (exp.f64 x)>
#<alt (exp.f64 (neg.f64 x))>
#<alt (neg.f64 x)>

Outputs
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 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 5/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 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 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))>
#<alt (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))>
#<alt (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))>
#<alt (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))>
#<alt (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))>
#<alt (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))>
#<alt (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))>
#<alt (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) x))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) x))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) x))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) x))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/ 2 (+ (exp x) (exp (neg x))))
1.0ms	x	@	inf	(/ 2 (+ (exp x) (exp (neg x))))
1.0ms	x	@	0	(/ 2 (+ (exp x) (exp (neg x))))
0.0ms	x	@	inf	(neg x)
0.0ms	x	@	0	(exp x)

rewrite244.0ms (4.8%)

Algorithm

1×	batch-egg-rewrite

Rules

62×	`add-exp-log`
62×	`add-log-exp`
62×	`log1p-expm1-u`
62×	`expm1-log1p-u`
60×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	100
1	144	100
2	2343	100

Stop Event

1×

unsound

Counts

5 → 50

Calls

Call 1

Inputs
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
(exp.f64 (neg.f64 x))
(neg.f64 x)

Outputs
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)

simplify135.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

827×	`fma-define`
602×	`sub-neg`
414×	`fmm-def`
329×	`associate-+l-`
305×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	73	836
1	174	763
2	437	757
3	1194	757
4	2362	757
5	3053	757
6	4056	757
7	5225	757
8	6607	757

Stop Event

1×	node limit

Counts

90 → 55

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 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 5/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)

Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(+.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 5/24 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -61/720 binary64))) #s(literal -1/2 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 -61/720 binary64) #s(literal 5/24 binary64)) #s(literal -1/2 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 5/24 binary64) (fma.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 x x (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 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 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 x x (fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 2 binary64)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(exp.f64 (neg.f64 x))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(exp.f64 (neg.f64 x))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(exp.f64 (neg.f64 x))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(exp.f64 (neg.f64 x))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)

eval6.0ms (0.1%)

Compiler: Compiled 591 to 187 computations (68.4% saved)

prune11.0ms (0.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	50	5	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	50	6	56

Accuracy

100.0%

Counts

56 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.0%	(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
▶	65.1%	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))))
✓	100.0%	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
▶	54.2%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
▶	54.3%	#s(literal 1 binary64)
▶	48.2%	#s(literal 0 binary64)

Compiler

Compiled 85 to 65 computations (23.5% saved)

simplify771.0ms (15.3%)

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))
✓	cost-diff	-6272	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x)))
✓	cost-diff	0	(*.f64 #s(literal -1/6 binary64) x)
	cost-diff	0	(exp.f64 x)
✓	cost-diff	-6272	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
✓	cost-diff	0	(pow.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
✓	cost-diff	0	(fma.f64 x x #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))

Rules

2 501×	`fmm-def`
596×	`fma-define`
414×	`sub-neg`
343×	`associate-+l-`
319×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	386
1	54	342
2	99	342
3	183	342
4	371	342
5	732	342
6	1190	342
7	2071	342
8	3908	342
9	4827	342
10	5030	342
11	5082	342
12	5098	342
13	5100	342
14	5172	342
15	5212	342
16	5218	342
17	5223	342
18	5226	342
19	5227	342
20	5227	342
21	7391	342
22	7395	342
23	7404	342
24	7413	342
25	7432	342
26	7442	342
27	7444	342
28	7444	342

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
#s(literal 2 binary64)
(fma.f64 x x #s(literal 2 binary64))
x
#s(literal 0 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal -1/2 binary64)
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))))
#s(literal 2 binary64)
(+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))))
(exp.f64 x)
x
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))
#s(literal 1 binary64)
(.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))
(-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/6 binary64) x)
#s(literal -1/6 binary64)

Outputs
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
#s(literal 2 binary64)
(fma.f64 x x #s(literal 2 binary64))
x
#s(literal 0 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal -1/2 binary64)
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64))))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
#s(literal 2 binary64)
(+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))))
(+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64)))))
(+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(exp.f64 x)
x
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))
(.f64 x (fma.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64))))
(*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/6 binary64) x)
(*.f64 x #s(literal -1/6 binary64))
#s(literal -1/6 binary64)

localize276.0ms (5.5%)

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x)))
✓	accuracy	99.5%	(*.f64 #s(literal -1/6 binary64) x)
✓	accuracy	72.3%	(+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))))
✓	accuracy	100.0%	(pow.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
✓	accuracy	100.0%	(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
✓	accuracy	100.0%	(fma.f64 x x #s(literal 2 binary64))
✓	accuracy	99.6%	(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))

Samples

112.0ms

256×

valid

Compiler

Compiled 124 to 23 computations (81.5% saved)

Precisions

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

ival-mult: 6.0ms (20.7% of total)

...in/eval/compile.rkt:71:19: 4.0ms (13.8% of total)

ival-div: 4.0ms (13.8% of total)

ival-add: 4.0ms (13.8% of total)

ival-fma: 4.0ms (13.8% of total)

ival-pow: 4.0ms (13.8% of total)

ival-exp: 2.0ms (6.9% of total)

ival-sub: 1.0ms (3.4% of total)

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

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

series10.0ms (0.2%)

Counts

10 → 73

Calls

Call 1

Inputs
#<alt (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))>
#<alt (fma.f64 x x #s(literal 2 binary64))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/6 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))>
#<alt (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))))>
#<alt (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))>

Outputs
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 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 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 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 #s(literal 1/4 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))>
#<alt (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt #s(literal 1 binary64)>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) 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 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 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 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))>
#<alt #s(literal 1/2 binary64)>
#<alt (*.f64 #s(literal -1/6 binary64) x)>
#<alt (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))>
#<alt (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))>
#<alt (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/120 binary64) 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 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (exp.f64 x) (pow.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 1/6 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 3 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x))) x))) x)))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/6 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 3 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))))>

Calls

30 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(* -1/2 (pow x 2))
0.0ms	x	@	inf	(/ 2 (+ (* x x) 2))
0.0ms	x	@	inf	(+ (exp x) (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))
0.0ms	x	@	-inf	(* x (+ 1/2 (* -1/6 x)))
0.0ms	x	@	-inf	(+ (exp x) (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))

rewrite216.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1 197×	`log1p-expm1-u`
538×	`expm1-log1p-u`
161×	`add-exp-log`
161×	`add-log-exp`
160×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	226
1	366	202
2	5275	202

Stop Event

1×	node limit

Counts

10 → 237

Calls

Call 1

Inputs
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -1/6 binary64) x)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))
(+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))))
(.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 2 binary64))))
(sqrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x x #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 x x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x x #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal 2 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 x x #s(literal 2 binary64))))
(exp.f64 (log.f64 (fma.f64 x x #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/2 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))
(*.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) (.f64 (sqrt.f64 x) x))
(.f64 (.f64 x (sqrt.f64 x)) (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 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 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 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
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(.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 x))))))
(.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (expm1.f64 x) (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 x)))) (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (expm1.f64 x) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 x)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (exp.f64 x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (expm1.f64 x) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (expm1.f64 x) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (-.f64 (pow.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 x)))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (pow.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(pow.f64 (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 x)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (exp.f64 x))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (exp.f64 x))
(+.f64 (.f64 x (.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 x #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) x) (*.f64 #s(literal -1 binary64) x))
(-.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 x (+.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 x (+.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64)) x) (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64)))

simplify160.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

723×	`times-frac`
480×	`cancel-sign-sub-inv`
425×	`fmm-def`
273×	`associate-r`
258×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	604	10373
1	1329	9911
2	4334	9797

Stop Event

1×	node limit

Counts

310 → 360

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 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 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 2 binary64)))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #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)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
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(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
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(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (-.f64 (pow.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 x)))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (pow.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(pow.f64 (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 x)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (exp.f64 x))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (exp.f64 x))
(+.f64 (.f64 x (.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 x #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) x) (*.f64 #s(literal -1 binary64) x))
(-.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 x (+.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 x (+.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64)) x) (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64)))

Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(+.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 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/8 binary64))) #s(literal -1/2 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 -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 2 binary64)))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 x x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 x x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 x x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 x x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 x x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 x x #s(literal 2 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
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(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
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(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))
(+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 x))
(+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 x)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (exp.f64 x))
(+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (exp.f64 x))
(+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 x (.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 x #s(literal -1 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) x) (*.f64 #s(literal -1 binary64) x))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(-.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(/.f64 (.f64 x (+.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (+.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (neg.f64 x)) (+.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(/.f64 (.f64 x (+.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (/.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64)) x) (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (+.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (neg.f64 x)) (+.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (/.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))

eval47.0ms (0.9%)

Compiler: Compiled 6 952 to 1 697 computations (75.6% saved)

prune182.0ms (3.6%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	365	2	367
Fresh	0	0	0
Picked	2	3	5
Done	0	1	1
Total	367	6	373

Accuracy

100.0%

Counts

373 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.6%	(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))))
✓	65.1%	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))))
✓	100.0%	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
▶	54.2%	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
✓	54.3%	#s(literal 1 binary64)
✓	48.2%	#s(literal 0 binary64)

Compiler

Compiled 70 to 51 computations (27.1% saved)

simplify97.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-4864	(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))))
✓	cost-diff	-4864	(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))))
	cost-diff	0	(*.f64 #s(literal -1/6 binary64) x)
✓	cost-diff	0	(*.f64 x #s(literal 1/6 binary64))
✓	cost-diff	-6272	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 #s(literal -1/2 binary64) (.f64 x x))

Rules

848×	`sub-neg`
395×	`fma-define`
382×	`+-commutative`
364×	`associate-+l-`
358×	`associate-+r-`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	28	588
1	75	484
2	191	470
3	497	462
4	1464	462
5	2334	436
6	5150	368
7	7986	368

Stop Event

1×	node limit

Calls

Call 1

Inputs
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
#s(literal 1 binary64)
(.f64 #s(literal -1/2 binary64) (.f64 x x))
#s(literal -1/2 binary64)
(*.f64 x x)
x
(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))))
#s(literal 2 binary64)
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))
#s(literal 1 binary64)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
x
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))
(.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))
(-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))
(*.f64 #s(literal -1/6 binary64) x)
#s(literal -1/6 binary64)

Outputs
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 #s(literal -1/2 binary64) (.f64 x x))
#s(literal -1/2 binary64)
(*.f64 x x)
x
(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))))
(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64))))))
(/.f64 #s(literal 2 binary64) (+.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (+.f64 (*.f64 x (+.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x (+.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
#s(literal 2 binary64)
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64)))))
(+.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 x (+.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))
(fma.f64 x (+.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))
(fma.f64 x (*.f64 x (+.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(fma.f64 x x #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
x
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))
(.f64 x (fma.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64))))
(*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/6 binary64) x)
(*.f64 x #s(literal -1/6 binary64))
#s(literal -1/6 binary64)

localize239.0ms (4.7%)

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))
	accuracy	99.5%	(*.f64 #s(literal -1/6 binary64) x)
✓	accuracy	61.4%	(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 #s(literal -1/2 binary64) (.f64 x x))

Samples

125.0ms	141×	0	valid
37.0ms	75×	1	valid
32.0ms	40×	2	valid

Compiler

Compiled 178 to 26 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-mult: 22.0ms (34.4% of total)

ival-add: 13.0ms (20.3% of total)

adjust: 12.0ms (18.8% of total)

...in/eval/compile.rkt:71:19: 12.0ms (18.8% of total)

ival-div: 2.0ms (3.1% of total)

ival-sub: 2.0ms (3.1% of total)

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

series13.0ms (0.3%)

Counts

6 → 72

Calls

Call 1

Inputs
#<alt (.f64 #s(literal -1/2 binary64) (.f64 x x))>
#<alt (*.f64 x x)>
#<alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))>
#<alt (*.f64 x #s(literal 1/6 binary64))>
#<alt (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))))>
#<alt (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))))>

Outputs
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 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 #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 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 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 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 #s(literal 1/4 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))>
#<alt (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>

Calls

18 calls:

Time	Variable		Point	Expression
7.0ms	x	@	inf	(+ (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))) (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))
1.0ms	x	@	0	(* x 1/6)
1.0ms	x	@	-inf	(+ (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))) (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))
0.0ms	x	@	-inf	(/ 2 (+ (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))) (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
0.0ms	x	@	0	(+ (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))) (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))

rewrite88.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

229×	`log1p-expm1-u`
229×	`expm1-log1p-u`
221×	`add-exp-log`
221×	`add-log-exp`
221×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	250
1	486	206

Stop Event

1×	node limit

Counts

6 → 147

Calls

Call 1

Inputs
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(*.f64 x x)
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(*.f64 x #s(literal 1/6 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))))

Outputs
(-.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64)))
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(/.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (+.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (+.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) (pow.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 (+.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))))
(exp.f64 (log1p.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))

simplify168.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

450×	`associate-+l+`
373×	`associate-+r+`
291×	`associate-/r*`
244×	`times-frac`
228×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	410	13302
1	919	13002
2	2812	12179

Stop Event

1×	node limit

Counts

219 → 218

Calls

Call 1

Inputs
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 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))
(pow.f64 x #s(literal 2 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
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(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))))
(exp.f64 (log1p.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))

Outputs
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 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))
(pow.f64 x #s(literal 2 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(+.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 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/8 binary64))) #s(literal -1/2 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 -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
(-.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 6 binary64))))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
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(exp.f64 (log1p.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 x (+.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 x (+.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 x (+.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 x (+.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 x (+.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 x (+.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 x (+.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 x (+.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))

eval29.0ms (0.6%)

Compiler: Compiled 7 548 to 930 computations (87.7% saved)

prune35.0ms (0.7%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	231	0	231
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	231	6	237

Accuracy

100.0%

Counts

237 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.6%	(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))))
✓	65.1%	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))))
✓	100.0%	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	54.2%	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
✓	54.3%	#s(literal 1 binary64)
✓	48.2%	#s(literal 0 binary64)

Compiler

Compiled 148 to 88 computations (40.5% saved)

regimes10.0ms (0.2%)

Counts

8 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Outputs
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Calls

3 calls:

4.0ms	x
2.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
2.0ms	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
100.0%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes3.0ms (0.1%)

Counts

7 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))))

Outputs

(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))))

#s(literal 0 binary64)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.8%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0.1%)

Counts

6 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))

Outputs

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

#s(literal 0 binary64)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.8%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

3 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))

Outputs
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
#s(literal 0 binary64)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.8%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Counts

2 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)
#s(literal 0 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
99.3%	2	`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 0 binary64)

Outputs
#s(literal 0 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
48.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch9.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
8.0ms	0.0031059466118612262	1532.9325257722303

Samples

5.0ms

80×

valid

Compiler

Compiled 127 to 101 computations (20.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-div: 1.0ms (33.1% of total)

ival-exp: 1.0ms (33.1% of total)

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

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

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

bsearch18.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.0031059466118612262	1532.9325257722303

Samples

11.0ms

144×

valid

Compiler

Compiled 318 to 227 computations (28.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-div: 4.0ms (51.7% of total)

ival-exp: 3.0ms (38.8% of total)

ival-add: 1.0ms (12.9% of total)

ival-neg: 1.0ms (12.9% of total)

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

bsearch18.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.0031059466118612262	1532.9325257722303

Samples

9.0ms

144×

valid

Compiler

Compiled 120 to 101 computations (15.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-exp: 3.0ms (56.7% of total)

ival-div: 1.0ms (18.9% of total)

ival-add: 1.0ms (18.9% of total)

ival-neg: 1.0ms (18.9% of total)

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

bsearch15.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.0031059466118612262	1532.9325257722303

Samples

9.0ms

144×

valid

Compiler

Compiled 66 to 65 computations (1.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-exp: 3.0ms (55.4% of total)

ival-div: 1.0ms (18.5% of total)

ival-add: 1.0ms (18.5% of total)

ival-neg: 1.0ms (18.5% of total)

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

12×	`+-commutative`
10×	`*-commutative`
5×	`neg-mul-1`
4×	`unsub-neg`
3×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	278
1	77	278
2	82	278
3	88	278
4	95	278
5	104	278

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(if (<=.f64 x #s(literal 1000 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))))) #s(literal 0 binary64))
(if (<=.f64 x #s(literal 360 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))))) #s(literal 0 binary64))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))) #s(literal 0 binary64))
(if (<=.f64 x #s(literal 350 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)

Outputs
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(if (<=.f64 x #s(literal 1000 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))))) #s(literal 0 binary64))
(if (<=.f64 x #s(literal 1000 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #s(literal 1 binary64)))))) #s(literal 0 binary64))
(if (<=.f64 x #s(literal 1000 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #s(literal -1 binary64)))))) #s(literal 0 binary64))
(if (<=.f64 x #s(literal 360 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))))) #s(literal 0 binary64))
(if (<=.f64 x #s(literal 360 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64)))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))))) #s(literal 0 binary64))
(if (<=.f64 x #s(literal 360 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64)))) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))))) #s(literal 0 binary64))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))) #s(literal 0 binary64))
(if (<=.f64 x #s(literal 350 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)

soundness492.0ms (9.8%)

Rules

1 197×	`log1p-expm1-u`
827×	`fma-define`
602×	`sub-neg`
538×	`expm1-log1p-u`
414×	`fmm-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	100
1	144	100
2	2343	100
0	25	226
1	366	202
2	5275	202
0	73	836
1	174	763
2	437	757
3	1194	757
4	2362	757
5	3053	757
6	4056	757
7	5225	757
8	6607	757

Stop Event

1×	done
1×	node limit
1×	node limit
1×	unsound

Compiler

Compiled 219 to 88 computations (59.8% saved)

preprocess196.0ms (3.9%)

Remove: (abs x)
Compiler: Compiled 224 to 132 computations (41.1% saved)

Iter	Nodes	Cost
0	17	124
1	35	124
2	67	124
3	113	124
4	170	124
5	231	124
6	286	124
7	302	124
8	309	124
9	320	124
10	332	124
11	334	124

Iter	Nodes	Cost
0	17	124
1	35	124
2	67	124
3	113	124
4	170	124
5	231	124
6	286	124
7	302	124
8	309	124
9	320	124
10	332	124
11	334	124

analyze0.0ms (0%)

sample1.3s (26.7%)

preprocess58.0ms (1.1%)

explain88.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify12.0ms (0.2%)

localize27.0ms (0.5%)

series4.0ms (0.1%)

rewrite244.0ms (4.8%)

simplify135.0ms (2.7%)

eval6.0ms (0.1%)

prune11.0ms (0.2%)

simplify771.0ms (15.3%)

localize276.0ms (5.5%)

series10.0ms (0.2%)

rewrite216.0ms (4.3%)

simplify160.0ms (3.2%)

eval47.0ms (0.9%)

prune182.0ms (3.6%)

simplify97.0ms (1.9%)

localize239.0ms (4.7%)

series13.0ms (0.3%)

rewrite88.0ms (1.8%)

simplify168.0ms (3.3%)

eval29.0ms (0.6%)

prune35.0ms (0.7%)

regimes10.0ms (0.2%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

regimes1.0ms (0%)

bsearch9.0ms (0.2%)

bsearch18.0ms (0.4%)

bsearch18.0ms (0.4%)

bsearch15.0ms (0.3%)

simplify6.0ms (0.1%)

soundness492.0ms (9.8%)

preprocess196.0ms (3.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	17	124
1	35	124
2	67	124
3	113	124
4	170	124
5	231	124
6	286	124
7	302	124
8	309	124
9	320	124
10	332	124
11	334	124