Metrics for expq2 (section 3.11)

analyze188.0ms (1.9%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	75.2%	24.8%	0%	0%	0%	0
0%	0%	75.2%	24.8%	0%	0%	0%	1
0%	0%	75.2%	24.8%	0%	0%	0%	2
25%	18.8%	56.4%	24.8%	0%	0%	0%	3
25%	18.8%	56.4%	24.8%	0%	0%	0%	4
31.3%	23.5%	51.7%	24.8%	0%	0%	0%	5
34.4%	25.8%	49.3%	24.8%	0%	0%	0%	6
37.5%	28.2%	47%	24.8%	0%	0%	0%	7
38.3%	28.8%	46.4%	24.8%	0%	0%	0%	8
38.7%	29.1%	46.1%	24.8%	0%	0%	0%	9
38.9%	29.2%	46%	24.8%	0%	0%	0%	10
38.9%	29.2%	46%	24.8%	0%	0%	0%	11
38.9%	29.2%	46%	24.8%	0%	0%	0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-exp: 24.0ms (42.4% of total)

ival-sub: 14.0ms (24.7% of total)

ival->: 8.0ms (14.1% of total)

ival-div: 7.0ms (12.4% of total)

const: 3.0ms (5.3% of total)

backward-pass: 1.0ms (1.8% of total)

sample1.3s (13.1%)

Results

879.0ms	5341×	1	valid
152.0ms	2915×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 696.0ms

ival-exp: 406.0ms (58.3% of total)

ival-sub: 85.0ms (12.2% of total)

ival-div: 84.0ms (12.1% of total)

backward-pass: 78.0ms (11.2% of total)

ival->: 28.0ms (4% of total)

const: 15.0ms (2.2% of total)

Bogosity

preprocess73.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

1904×	`fnmsub-define`
1860×	`fmm-def`
1388×	`fmsub-define`
1056×	`fma-define`
1044×	`fnmadd-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	29	20
2	52	20
3	96	20
4	172	13
5	329	12
6	573	12
7	1086	12
8	3176	12
9	5410	12
10	7208	12
0	5	5
1	12	5
2	13	5
0	13	5

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

Inputs
(/ (exp x) (- (exp x) 1))

Outputs
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))

Call 2

Inputs
(/ (exp x) (- (exp x) 1))
(/ (exp (neg x)) (- (exp (neg x)) 1))
(neg (/ (exp (neg x)) (- (exp (neg x)) 1)))

Outputs
(/ (exp x) (- (exp x) 1))
(/ (fast-exp x) (expm1 x))
(/ (exp (neg x)) (- (exp (neg x)) 1))
(/ -1 (expm1 x))
(neg (/ (exp (neg x)) (- (exp (neg x)) 1)))
(recip (expm1 x))

explain123.0ms (1.3%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
166	-	-	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`
0	-	-	`x`
0	-	-	`(exp.f64 x)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`

Results

80.0ms	322×	1	valid
13.0ms	190×	0	valid

Compiler

Compiled 42 to 17 computations (59.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-exp: 29.0ms (59.2% of total)

ival-div: 8.0ms (16.3% of total)

backward-pass: 6.0ms (12.2% of total)

ival-sub: 5.0ms (10.2% of total)

const: 1.0ms (2% of total)

eval0.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

prune6.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	39.3%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
▶	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))

Compiler

Compiled 14 to 9 computations (35.7% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
✓	cost-diff	128	(-.f64 (exp.f64 x) #s(literal 1 binary64))
✓	cost-diff	0	(expm1.f64 x)
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(/.f64 (exp.f64 x) (expm1.f64 x))

Rules

4×	`+-lowering-+.f64`
4×	`+-lowering-+.f32`
2×	`exp-lowering-exp.f32`
2×	`expm1-lowering-expm1.f32`
2×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	21
1	12	21
2	13	21
0	13	21

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (exp x) (- (exp x) 1))
(exp x)
x
(- (exp x) 1)
(/ (exp x) (- (exp x) 1))
(exp x)
x
(- (exp x) 1)
1

Outputs
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp x)
(exp.f64 x)
x
(- (exp x) 1)
(expm1.f64 x)
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp x)
(exp.f64 x)
x
(- (exp x) 1)
(expm1.f64 x)
1
#s(literal 1 binary64)

localize83.0ms (0.8%)

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
✓	accuracy	40.8%	(-.f64 (exp.f64 x) #s(literal 1 binary64))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(expm1.f64 x)
✓	accuracy	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))

Results

59.0ms	164×	1	valid
10.0ms	92×	0	valid

Compiler

Compiled 27 to 8 computations (70.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-exp: 23.0ms (41.4% of total)

compiled-spec: 16.0ms (28.8% of total)

backward-pass: 6.0ms (10.8% of total)

ival-div: 5.0ms (9% of total)

ival-sub: 5.0ms (9% of total)

const: 1.0ms (1.8% of total)

series4.0ms (0%)

Counts

5 → 60

Calls

Call 1

Inputs
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (exp x)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (/ (exp x) (- (exp x) 1))>

Outputs
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))>
#<alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))>
#<alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/ (exp x) (- (exp x) 1))
1.0ms	x	@	-inf	(/ (exp x) (- (exp x) 1))
0.0ms	x	@	0	(/ (exp x) (- (exp x) 1))
0.0ms	x	@	0	(exp x)
0.0ms	x	@	0	(- (exp x) 1)

rewrite359.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3900×	`/-lowering-/.f32`
3900×	`/-lowering-/.f64`
2816×	`-lowering-.f32`
2816×	`-lowering-.f64`
1474×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	16
1	32	16
2	196	16
3	1908	16
0	8752	16

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 690

Calls

Call 1

Inputs
(/ (exp x) (- (exp x) 1))
(exp x)
(- (exp x) 1)
(- (exp x) 1)
(/ (exp x) (- (exp x) 1))

Outputs
(+.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))
(+.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (exp.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(+.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (exp.f64 (*.f64 x #s(literal 2 binary64)))))
(+.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64))))) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 x)))
(+.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (exp.f64 x)) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (exp.f64 x)))
(+.f64 (.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64))))) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))))
(+.f64 (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64))))) (.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64)))) (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64))))) (.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))))
(+.f64 (.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64))))) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) #s(literal -1 binary64)))
(exp.f64 (+.f64 x (*.f64 (log.f64 (expm1.f64 x)) #s(literal -1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (expm1.f64 x)) #s(literal -1 binary64)) x))
(exp.f64 (-.f64 (*.f64 (log.f64 (expm1.f64 x)) #s(literal -1 binary64)) (neg.f64 x)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (expm1.f64 x)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x)))))
(fma.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))
(fma.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))
(fma.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64))))))
(fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64))))))
(fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64)))) (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64))))))
(fma.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (exp.f64 (.f64 x #s(literal 2 binary64))) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(fma.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64)) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (exp.f64 (.f64 x #s(literal 2 binary64)))))
(fma.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (exp.f64 x)))
(fma.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (exp.f64 x) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (exp.f64 x)))
(fma.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64))))))
(fma.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 (.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64))))))
(fma.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) #s(literal -1 binary64))) (+.f64 (+.f64 (exp.f64 (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (exp.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (neg.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 x) (exp.f64 (.f64 x #s(literal 2 binary64))))) (expm1.f64 (*.f64 x #s(literal 3 binary64))))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (.f64 x #s(literal 2 binary64)))) (expm1.f64 (.f64 x #s(literal 2 binary64))))
(/.f64 (.f64 (exp.f64 x) (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)))) (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 x #s(literal 4 binary64))) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (*.f64 x #s(literal 2 binary64))))))))
(/.f64 (.f64 (exp.f64 x) (-.f64 (exp.f64 (.f64 x #s(literal 4 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (-.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (exp.f64 x))))
(/.f64 (.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) (expm1.f64 x)))
(/.f64 (.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64))))) (.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64))))) (.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 x) (exp.f64 (.f64 x #s(literal 2 binary64)))))) (-.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 x #s(literal 3 binary64)))))
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(/.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 x) (exp.f64 (.f64 x #s(literal 2 binary64))))) (expm1.f64 (*.f64 x #s(literal 3 binary64))))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (.f64 x #s(literal 2 binary64)))) (expm1.f64 (.f64 x #s(literal 2 binary64))))
(/.f64 (.f64 (exp.f64 x) (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)))) (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 x #s(literal 4 binary64))) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (*.f64 x #s(literal 2 binary64))))))))
(/.f64 (.f64 (exp.f64 x) (-.f64 (exp.f64 (.f64 x #s(literal 4 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (-.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (exp.f64 x))))
(/.f64 (.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) (expm1.f64 x)))
(/.f64 (.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64))))) (.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64))))) (.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 x) (exp.f64 (.f64 x #s(literal 2 binary64)))))) (-.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (+.f64 (exp.f64 x) (exp.f64 (.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64)))))
(/.f64 (/.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 x))
(/.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 x #s(literal 4 binary64))) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (.f64 x #s(literal 2 binary64)))))))
(/.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (-.f64 (exp.f64 (.f64 x #s(literal 4 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) (exp.f64 x)))
(/.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (expm1.f64 x))
(/.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x))) (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (expm1.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 0 binary64) (exp.f64 x)))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (expm1.f64 x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (expm1.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (exp.f64 x) #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (expm1.f64 x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (expm1.f64 (.f64 x #s(literal 3 binary64)))))) (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (expm1.f64 (.f64 x #s(literal 2 binary64)))))) (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (.f64 (exp.f64 x) (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))))) (neg.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 x #s(literal 4 binary64))) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (*.f64 x #s(literal 2 binary64)))))))))
(/.f64 (neg.f64 (.f64 (exp.f64 x) (-.f64 (exp.f64 (.f64 x #s(literal 4 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))))) (neg.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (-.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (exp.f64 x)))))
(/.f64 (neg.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64))))) (neg.f64 (.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) (expm1.f64 x))))
(/.f64 (neg.f64 (.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))))) (neg.f64 (.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (expm1.f64 x))))))
(/.f64 (neg.f64 (.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64)))))) (neg.f64 (.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (neg.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (.f64 x #s(literal 4 binary64))) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (.f64 x #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (-.f64 (exp.f64 (.f64 x #s(literal 4 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))))) (neg.f64 (-.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) (exp.f64 x))))
(/.f64 (neg.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (expm1.f64 (*.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (neg.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (neg.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) (expm1.f64 x))
(/.f64 (neg.f64 (/.f64 (exp.f64 x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))))) #s(literal -1 binary64))
(*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(.f64 (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x)))))
(.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (pow.f64 (/.f64 (expm1.f64 x) (+.f64 (exp.f64 x) (exp.f64 (.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (pow.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 x) (exp.f64 (.f64 x #s(literal 2 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (/.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (exp.f64 x)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 x) (exp.f64 (.f64 x #s(literal 2 binary64)))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 x) (exp.f64 (*.f64 x #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (/.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (exp.f64 x)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)))
(.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64))))))
(.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(*.f64 (/.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal -1/2 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (+.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (expm1.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64)))

simplify244.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

2810×	`-lowering-.f32`
2810×	`-lowering-.f64`
2350×	`fma-define`
1828×	`fma-lowering-fma.f32`
1828×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	44	296
1	126	265
2	341	259
3	831	259
4	1613	259
5	2318	259
6	2570	259
7	2678	247
8	3106	247
9	3596	247
10	4988	247
11	6666	247
12	7249	247
13	7650	247
0	8083	247

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))

Outputs
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64))))))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 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)))))))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
x
(* x (+ 1 (* 1/2 x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
x
(* x (+ 1 (* 1/2 x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64))))))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))

eval381.0ms (3.9%)

Compiler: Compiled 21595 to 1207 computations (94.4% saved)

prune52.0ms (0.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	792	6	798
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	792	8	800

Accuracy

100.0%

Counts

800 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	39.3%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
▶	97.6%	(/.f64 (exp.f64 x) x)
	39.2%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
▶	65.4%	(/.f64 #s(literal 1 binary64) x)
▶	66.1%	(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
▶	66.0%	(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
▶	65.9%	(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64))))))

Compiler

Compiled 114 to 83 computations (27.2% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Program
✓	cost-diff	(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64)))))
✓	cost-diff	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
✓	cost-diff	(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64))))))
✓	cost-diff	(*.f64 x #s(literal 1/12 binary64))
✓	cost-diff	(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))
✓	cost-diff	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
✓	cost-diff	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
✓	cost-diff	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	(exp.f64 x)
✓	cost-diff	(/.f64 (exp.f64 x) x)

Rules

140×	`fma-define`
132×	`fma-lowering-fma.f32`
132×	`fma-lowering-fma.f64`
130×	`sum3-define`
104×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	90
1	42	81
2	97	81
3	173	81
4	267	81
5	287	81
0	287	81

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (exp x) x)
(exp x)
x
(/ 1 x)
1
x
(+ (/ 1 x) 1/2)
(/ 1 x)
1
x
1/2
(+ (/ 1 x) (+ 1/2 (* x 1/12)))
(/ 1 x)
1
x
(+ 1/2 (* x 1/12))
1/2
(* x 1/12)
1/12
(+ (+ (/ 1 x) 1/2) (* x (+ 1/12 (* x (* x -1/720)))))
(+ (/ 1 x) 1/2)
(/ 1 x)
1
x
1/2
(* x (+ 1/12 (* x (* x -1/720))))
(+ 1/12 (* x (* x -1/720)))
1/12
(* x (* x -1/720))
(* x -1/720)
-1/720

Outputs
(/ (exp x) x)
(/.f64 (exp.f64 x) x)
(exp x)
(exp.f64 x)
x
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(+ (/ 1 x) 1/2)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
1/2
#s(literal 1/2 binary64)
(+ (/ 1 x) (+ 1/2 (* x 1/12)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(+ 1/2 (* x 1/12))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))
1/2
#s(literal 1/2 binary64)
(* x 1/12)
(*.f64 x #s(literal 1/12 binary64))
1/12
#s(literal 1/12 binary64)
(+ (+ (/ 1 x) 1/2) (* x (+ 1/12 (* x (* x -1/720)))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64))))))
(+ (/ 1 x) 1/2)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
1/2
#s(literal 1/2 binary64)
(* x (+ 1/12 (* x (* x -1/720))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64)))))
(+ 1/12 (* x (* x -1/720)))
(+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))
1/12
#s(literal 1/12 binary64)
(* x (* x -1/720))
(.f64 x (.f64 x #s(literal -1/720 binary64)))
(* x -1/720)
(*.f64 x #s(literal -1/720 binary64))
-1/720
#s(literal -1/720 binary64)

localize132.0ms (1.4%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal -1/720 binary64)))
✓	accuracy	99.6%	(*.f64 x #s(literal -1/720 binary64))
✓	accuracy	99.6%	(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64)))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
✓	accuracy	99.4%	(*.f64 x #s(literal 1/12 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(/.f64 (exp.f64 x) x)

Results

102.0ms	255×	0	valid
2.0ms	1×	5	exit

Compiler

Compiled 101 to 18 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-add: 9.0ms (27.9% of total)

...c/correct-round.rkt:119:19: 8.0ms (24.8% of total)

ival-mult: 8.0ms (24.8% of total)

ival-div: 4.0ms (12.4% of total)

ival-exp: 2.0ms (6.2% of total)

const: 1.0ms (3.1% of total)

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

series10.0ms (0.1%)

Counts

12 → 144

Calls

Call 1

Inputs
#<alt (/ (exp x) x)>
#<alt (exp x)>
#<alt (/ 1 x)>
#<alt (+ (/ 1 x) 1/2)>
#<alt (+ (/ 1 x) (+ 1/2 (* x 1/12)))>
#<alt (+ 1/2 (* x 1/12))>
#<alt (* x 1/12)>
#<alt (+ (+ (/ 1 x) 1/2) (* x (+ 1/12 (* x (* x -1/720)))))>
#<alt (* x (+ 1/12 (* x (* x -1/720))))>
#<alt (* x -1/720)>
#<alt (* x (* x -1/720))>
#<alt (+ 1/12 (* x (* x -1/720)))>

Outputs
#<alt (/ 1 x)>
#<alt (/ (+ 1 x) x)>
#<alt (/ (+ 1 (* x (+ 1 (* 1/2 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) x)>
#<alt (/ (exp x) x)>
#<alt (/ (exp x) x)>
#<alt (/ (exp x) x)>
#<alt (/ (exp x) x)>
#<alt (/ (exp x) x)>
#<alt (/ (exp x) x)>
#<alt (/ (exp x) x)>
#<alt (/ (exp x) x)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt 1/2>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt 1/2>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/12 x))>
#<alt (+ 1/2 (* 1/12 x))>
#<alt (+ 1/2 (* 1/12 x))>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)>
#<alt (* -1/720 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))>
#<alt (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))>
#<alt (* -1/720 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* -1/720 (pow x 2))))>
#<alt (* x (+ 1/12 (* -1/720 (pow x 2))))>
#<alt (* x (+ 1/12 (* -1/720 (pow x 2))))>
#<alt (* -1/720 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))>
#<alt (* -1/720 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt 1/12>
#<alt (+ 1/12 (* -1/720 (pow x 2)))>
#<alt (+ 1/12 (* -1/720 (pow x 2)))>
#<alt (+ 1/12 (* -1/720 (pow x 2)))>
#<alt (* -1/720 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))>
#<alt (* -1/720 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))>

Calls

36 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(* x (* x -1/720))
1.0ms	x	@	inf	(+ (/ 1 x) (+ 1/2 (* x 1/12)))
1.0ms	x	@	inf	(/ (exp x) x)
1.0ms	x	@	-inf	(/ (exp x) x)
0.0ms	x	@	0	(* x (+ 1/12 (* x (* x -1/720))))

rewrite407.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3924×	`-lowering-.f32`
3924×	`-lowering-.f64`
3302×	`/-lowering-/.f32`
3302×	`/-lowering-/.f64`
2182×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	65
1	116	56
2	1168	56
0	8258	56

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 419

Calls

Call 1

Inputs
(/ (exp x) x)
(exp x)
(/ 1 x)
(+ (/ 1 x) 1/2)
(+ (/ 1 x) (+ 1/2 (* x 1/12)))
(+ 1/2 (* x 1/12))
(* x 1/12)
(+ (+ (/ 1 x) 1/2) (* x (+ 1/12 (* x (* x -1/720)))))
(* x (+ 1/12 (* x (* x -1/720))))
(* x -1/720)
(* x (* x -1/720))
(+ 1/12 (* x (* x -1/720)))

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 x (exp.f64 x))) #s(literal -1 binary64)))
(exp.f64 (+.f64 x (-.f64 #s(literal 0 binary64) (log.f64 x))))
(exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) x))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 (exp.f64 x) (-.f64 #s(literal 0 binary64) x)))
(neg.f64 (/.f64 (exp.f64 x) (-.f64 #s(literal 0 binary64) x)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) x))
(/.f64 (exp.f64 x) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (exp.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (exp.f64 x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (exp.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (exp.f64 x)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (*.f64 (exp.f64 x) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(/.f64 (neg.f64 (*.f64 (exp.f64 x) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (*.f64 (exp.f64 x) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(pow.f64 (/.f64 x (exp.f64 x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (exp.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (exp.f64 x) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 x))
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(/.f64 (-.f64 (.f64 #s(literal 1/144 binary64) (-.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))) (.f64 (-.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64)))) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64)))) (.f64 (-.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64)))) (-.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/373248000 binary64)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/720 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal -1/720 binary64))) #s(literal 1/12 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64)) #s(literal 1/144 binary64))) (neg.f64 (-.f64 (.f64 x (.f64 x #s(literal -1/720 binary64))) #s(literal 1/12 binary64))))
(pow.f64 (/.f64 (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/720 binary64))) (-.f64 (.f64 x (.f64 x #s(literal -1/720 binary64))) #s(literal 1/12 binary64)))) (+.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64)))) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64)))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/373248000 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/720 binary64))) (-.f64 (.f64 x (.f64 x #s(literal -1/720 binary64))) #s(literal 1/12 binary64))))))
(.f64 (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64))))))

simplify201.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

2958×	`-lowering-.f32`
2958×	`-lowering-.f64`
1724×	`+-lowering-+.f64`
1724×	`+-lowering-+.f32`
1280×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	832
1	243	742
2	780	696
3	2759	619
0	8538	619

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

Inputs
(/ 1 x)
(/ (+ 1 x) x)
(/ (+ 1 (* x (+ 1 (* 1/2 x)))) x)
(/ (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) x)
(/ (exp x) x)
(/ (exp x) x)
(/ (exp x) x)
(/ (exp x) x)
(/ (exp x) x)
(/ (exp x) x)
(/ (exp x) x)
(/ (exp x) x)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* 1/2 x)) x)
1/2
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
1/2
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
1/2
(+ 1/2 (* 1/12 x))
(+ 1/2 (* 1/12 x))
(+ 1/2 (* 1/12 x))
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(* -1/720 (pow x 3))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(* -1/720 (pow x 3))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))
(* 1/12 x)
(* x (+ 1/12 (* -1/720 (pow x 2))))
(* x (+ 1/12 (* -1/720 (pow x 2))))
(* x (+ 1/12 (* -1/720 (pow x 2))))
(* -1/720 (pow x 3))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* -1/720 (pow x 3))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
1/12
(+ 1/12 (* -1/720 (pow x 2)))
(+ 1/12 (* -1/720 (pow x 2)))
(+ 1/12 (* -1/720 (pow x 2)))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))

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

eval88.0ms (0.9%)

Compiler: Compiled 20796 to 1518 computations (92.7% saved)

prune69.0ms (0.7%)

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	674	6	680
Fresh	0	1	1
Picked	0	5	5
Done	0	2	2
Total	674	14	688

Accuracy

100.0%

Counts

688 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.0%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))) x)
▶	64.8%	(/.f64 (+.f64 #s(literal 1 binary64) x) x)
✓	39.3%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	97.6%	(/.f64 (exp.f64 x) x)
	39.2%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
✓	65.4%	(/.f64 #s(literal 1 binary64) x)
✓	66.1%	(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
✓	66.0%	(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
▶	65.9%	(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -1/720 binary64)))))
✓	65.9%	(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64))))))
	16.3%	(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))))))))
▶	37.9%	(.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) (+.f64 #s(literal -1/12 binary64) (.f64 x (*.f64 x #s(literal 1/720 binary64))))))
▶	3.4%	#s(literal 1/2 binary64)

Compiler

Compiled 233 to 166 computations (28.8% saved)

simplify120.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x)
✓	cost-diff	0	(+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) (+.f64 #s(literal -1/12 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64)))))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) x)
✓	cost-diff	256	(.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) (+.f64 #s(literal -1/12 binary64) (.f64 x (*.f64 x #s(literal 1/720 binary64))))))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
✓	cost-diff	128	(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -1/720 binary64)))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) x) x)
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))) x)

Rules

2828×	`sum4-define`
2140×	`fma-define`
2034×	`sum3-define`
1234×	`fma-lowering-fma.f32`
1234×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	32	171
1	77	152
2	205	149
3	637	149
4	2181	147
5	4544	146
6	7873	146
0	8306	146

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (+ 1 (* x (+ 1/2 (* x 1/12)))) x)
(+ 1 (* x (+ 1/2 (* x 1/12))))
1
(* x (+ 1/2 (* x 1/12)))
x
(+ 1/2 (* x 1/12))
1/2
(* x 1/12)
1/12
1/2
(/ (+ 1 x) x)
(+ 1 x)
1
x
(+ (+ (/ 1 x) (+ 1/2 (* x 1/12))) (* x (* x (* x -1/720))))
(+ (/ 1 x) (+ 1/2 (* x 1/12)))
(/ 1 x)
1
x
(+ 1/2 (* x 1/12))
1/2
(* x 1/12)
1/12
(* x (* x (* x -1/720)))
(* x (* x -1/720))
(* x -1/720)
-1/720
(* (- 0 x) (+ (/ (+ (/ -1 x) -1/2) x) (+ -1/12 (* x (* x 1/720)))))
(- 0 x)
0
x
(+ (/ (+ (/ -1 x) -1/2) x) (+ -1/12 (* x (* x 1/720))))
(/ (+ (/ -1 x) -1/2) x)
(+ (/ -1 x) -1/2)
(/ -1 x)
-1
-1/2
(+ -1/12 (* x (* x 1/720)))
-1/12
(* x (* x 1/720))
(* x 1/720)
1/720

Outputs
(/ (+ 1 (* x (+ 1/2 (* x 1/12)))) x)
(/.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) #s(literal 1 binary64)) x)
(+ 1 (* x (+ 1/2 (* x 1/12))))
(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* x (+ 1/2 (* x 1/12)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))
x
(+ 1/2 (* x 1/12))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))
1/2
#s(literal 1/2 binary64)
(* x 1/12)
(*.f64 x #s(literal 1/12 binary64))
1/12
#s(literal 1/12 binary64)
1/2
#s(literal 1/2 binary64)
(/ (+ 1 x) x)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
1
#s(literal 1 binary64)
x
(+ (+ (/ 1 x) (+ 1/2 (* x 1/12))) (* x (* x (* x -1/720))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 x (-.f64 #s(literal -1/12 binary64) (.f64 #s(literal -1/720 binary64) (*.f64 x x)))))
(+ (/ 1 x) (+ 1/2 (* x 1/12)))
(+.f64 (*.f64 x #s(literal 1/12 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(+ 1/2 (* x 1/12))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))
1/2
#s(literal 1/2 binary64)
(* x 1/12)
(*.f64 x #s(literal 1/12 binary64))
1/12
#s(literal 1/12 binary64)
(* x (* x (* x -1/720)))
(.f64 x (.f64 #s(literal -1/720 binary64) (*.f64 x x)))
(* x (* x -1/720))
(.f64 #s(literal -1/720 binary64) (.f64 x x))
(* x -1/720)
(*.f64 x #s(literal -1/720 binary64))
-1/720
#s(literal -1/720 binary64)
(* (- 0 x) (+ (/ (+ (/ -1 x) -1/2) x) (+ -1/12 (* x (* x 1/720)))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 x (-.f64 #s(literal -1/12 binary64) (.f64 #s(literal -1/720 binary64) (*.f64 x x)))))
(- 0 x)
(-.f64 #s(literal 0 binary64) x)
0
#s(literal 0 binary64)
x
(+ (/ (+ (/ -1 x) -1/2) x) (+ -1/12 (* x (* x 1/720))))
(-.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1/12 binary64)) (.f64 #s(literal -1/720 binary64) (.f64 x x)))
(/ (+ (/ -1 x) -1/2) x)
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x)
(+ (/ -1 x) -1/2)
(+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
-1
#s(literal -1 binary64)
-1/2
#s(literal -1/2 binary64)
(+ -1/12 (* x (* x 1/720)))
(+.f64 #s(literal -1/12 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))
-1/12
#s(literal -1/12 binary64)
(* x (* x 1/720))
(.f64 x (.f64 x #s(literal 1/720 binary64)))
(* x 1/720)
(*.f64 x #s(literal 1/720 binary64))
1/720
#s(literal 1/720 binary64)

localize194.0ms (2%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x)
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/720 binary64)))
✓	accuracy	99.6%	(*.f64 x #s(literal 1/720 binary64))
✓	accuracy	71.8%	(.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) (+.f64 #s(literal -1/12 binary64) (.f64 x (*.f64 x #s(literal 1/720 binary64))))))
✓	accuracy	99.8%	(.f64 x (.f64 x (*.f64 x #s(literal -1/720 binary64))))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal -1/720 binary64)))
✓	accuracy	99.6%	(*.f64 x #s(literal -1/720 binary64))
✓	accuracy	99.4%	(*.f64 x #s(literal 1/12 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 1 binary64) x) x)
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))
✓	accuracy	99.4%	(*.f64 x #s(literal 1/12 binary64))
✓	accuracy	85.7%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))) x)

Results

137.0ms	254×	0	valid
2.0ms	1×	5	exit
1.0ms	1×	2	valid

Compiler

Compiled 182 to 33 computations (81.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

...c/correct-round.rkt:119:19: 15.0ms (28.3% of total)

ival-mult: 15.0ms (28.3% of total)

ival-div: 10.0ms (18.8% of total)

ival-add: 10.0ms (18.8% of total)

const: 1.0ms (1.9% of total)

backward-pass: 1.0ms (1.9% of total)

ival-sub: 1.0ms (1.9% of total)

series12.0ms (0.1%)

Counts

19 → 228

Calls

Call 1

Inputs
#<alt (/ (+ 1 (* x (+ 1/2 (* x 1/12)))) x)>
#<alt (+ 1 (* x (+ 1/2 (* x 1/12))))>
#<alt (* x (+ 1/2 (* x 1/12)))>
#<alt (+ 1/2 (* x 1/12))>
#<alt (/ (+ 1 x) x)>
#<alt (+ 1 x)>
#<alt (+ (+ (/ 1 x) (+ 1/2 (* x 1/12))) (* x (* x (* x -1/720))))>
#<alt (+ (/ 1 x) (+ 1/2 (* x 1/12)))>
#<alt (/ 1 x)>
#<alt (* (- 0 x) (+ (/ (+ (/ -1 x) -1/2) x) (+ -1/12 (* x (* x 1/720)))))>
#<alt (- 0 x)>
#<alt (+ (/ (+ (/ -1 x) -1/2) x) (+ -1/12 (* x (* x 1/720))))>
#<alt (/ (+ (/ -1 x) -1/2) x)>
#<alt (* x 1/12)>
#<alt (* x -1/720)>
#<alt (* x (* x -1/720))>
#<alt (* x (* x (* x -1/720)))>
#<alt (* x 1/720)>
#<alt (* x (* x 1/720))>

Outputs
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/12 x))))>
#<alt (+ 1 (* x (+ 1/2 (* 1/12 x))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/12 x)))>
#<alt (* x (+ 1/2 (* 1/12 x)))>
#<alt (* x (+ 1/2 (* 1/12 x)))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/12 x))>
#<alt (+ 1/2 (* 1/12 x))>
#<alt (+ 1/2 (* 1/12 x))>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 x) x)>
#<alt (/ (+ 1 x) x)>
#<alt (/ (+ 1 x) x)>
#<alt 1>
#<alt (+ 1 (/ 1 x))>
#<alt (+ 1 (/ 1 x))>
#<alt (+ 1 (/ 1 x))>
#<alt 1>
#<alt (+ 1 (/ 1 x))>
#<alt (+ 1 (/ 1 x))>
#<alt (+ 1 (/ 1 x))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)>
#<alt (* -1/720 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))>
#<alt (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))>
#<alt (* -1/720 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)>
#<alt (* -1/720 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))>
#<alt (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))>
#<alt (* -1/720 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (* -1/2 x) 1) (pow x 2))>
#<alt (/ (- (* x (- (* -1/12 x) 1/2)) 1) (pow x 2))>
#<alt (/ (- (* x (- (* x (- (* 1/720 (pow x 2)) 1/12)) 1/2)) 1) (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* (pow x 2) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2)))))>
#<alt (* (pow x 2) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/720 (pow x 2))>
#<alt (* (pow x 2) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2)))))>
#<alt (* (pow x 2) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2)))))>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (* -1/2 x) 1) (pow x 2))>
#<alt (/ (- (* -1/2 x) 1) (pow x 2))>
#<alt (/ (- (* -1/2 x) 1) (pow x 2))>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (+ 1/2 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 1/2 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 1/2 (/ 1 x)) x))>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (+ 1/2 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 1/2 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 1/2 (/ 1 x)) x))>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 3))>
#<alt (* -1/720 (pow x 3))>
#<alt (* -1/720 (pow x 3))>
#<alt (* -1/720 (pow x 3))>
#<alt (* -1/720 (pow x 3))>
#<alt (* -1/720 (pow x 3))>
#<alt (* -1/720 (pow x 3))>
#<alt (* -1/720 (pow x 3))>
#<alt (* -1/720 (pow x 3))>
#<alt (* -1/720 (pow x 3))>
#<alt (* -1/720 (pow x 3))>
#<alt (* -1/720 (pow x 3))>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>

Calls

57 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/ (+ 1 (* x (+ 1/2 (* x 1/12)))) x)
0.0ms	x	@	-inf	(/ (+ 1 x) x)
0.0ms	x	@	0	(* x (* x (* x -1/720)))
0.0ms	x	@	inf	(/ (+ 1 x) x)
0.0ms	x	@	-inf	(/ (+ (/ -1 x) -1/2) x)

rewrite366.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2520×	`/-lowering-/.f32`
2520×	`/-lowering-/.f64`
2398×	`fma-lowering-fma.f32`
2398×	`fma-lowering-fma.f64`
2308×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	133
1	212	115
2	2488	112
0	9138	112

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 568

Calls

Call 1

Inputs
(/ (+ 1 (* x (+ 1/2 (* x 1/12)))) x)
(+ 1 (* x (+ 1/2 (* x 1/12))))
(* x (+ 1/2 (* x 1/12)))
(+ 1/2 (* x 1/12))
(/ (+ 1 x) x)
(+ 1 x)
(+ (+ (/ 1 x) (+ 1/2 (* x 1/12))) (* x (* x (* x -1/720))))
(+ (/ 1 x) (+ 1/2 (* x 1/12)))
(/ 1 x)
(* (- 0 x) (+ (/ (+ (/ -1 x) -1/2) x) (+ -1/12 (* x (* x 1/720)))))
(- 0 x)
(+ (/ (+ (/ -1 x) -1/2) x) (+ -1/12 (* x (* x 1/720))))
(/ (+ (/ -1 x) -1/2) x)
(* x 1/12)
(* x -1/720)
(* x (* x -1/720))
(* x (* x (* x -1/720)))
(* x 1/720)
(* x (* x 1/720))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))) (-.f64 #s(literal 0 binary64) x)))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 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 1/12 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) #s(literal 1 binary64)))) x))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))))) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) x))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))))) (neg.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))))) (neg.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) #s(literal 1 binary64)) x)
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))))) #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) #s(literal 1 binary64)))) x)))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))))) #s(literal -1 binary64))) (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))) #s(literal 1 binary64))) (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) x)))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))) #s(literal -1 binary64))) (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))))) (/.f64 #s(literal 1 binary64) x))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))) (/.f64 #s(literal 1 binary64) x))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))))
(pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) x))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))) #s(literal -1 binary64)))
(.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (.f64 x x))
(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))) (-.f64 #s(literal 0 binary64) (.f64 x x))) x)
(.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) #s(literal 1 binary64))))))
(.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))
(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) #s(literal 1 binary64))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 1/12 binary64) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))) (/.f64 (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))))
(fma.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) #s(literal 1 binary64))
(fma.f64 x #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1 binary64)))
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(/.f64 (neg.f64 (-.f64 (.f64 (+.f64 #s(literal -1/12 binary64) (.f64 #s(literal 1/720 binary64) (.f64 x x))) (+.f64 #s(literal -1/12 binary64) (.f64 #s(literal 1/720 binary64) (.f64 x x)))) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (.f64 x x)))) (neg.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (+.f64 #s(literal -1/12 binary64) (.f64 #s(literal 1/720 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal -1/12 binary64)) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal -1/12 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64)))) (neg.f64 (-.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal -1/12 binary64)) (.f64 #s(literal 1/720 binary64) (*.f64 x x)))))
(pow.f64 (/.f64 (+.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (.f64 x x)) (.f64 (+.f64 #s(literal -1/12 binary64) (.f64 #s(literal 1/720 binary64) (.f64 x x))) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (+.f64 #s(literal -1/12 binary64) (.f64 #s(literal 1/720 binary64) (.f64 x x)))))) (+.f64 (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (.f64 x x))) (.f64 (+.f64 #s(literal -1/12 binary64) (.f64 #s(literal 1/720 binary64) (.f64 x x))) (.f64 (+.f64 #s(literal -1/12 binary64) (.f64 #s(literal 1/720 binary64) (.f64 x x))) (+.f64 #s(literal -1/12 binary64) (.f64 #s(literal 1/720 binary64) (.f64 x x))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (+.f64 #s(literal -1/12 binary64) (.f64 #s(literal 1/720 binary64) (.f64 x x)))) (-.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (.f64 x x)) (.f64 (+.f64 #s(literal -1/12 binary64) (.f64 #s(literal 1/720 binary64) (.f64 x x))) (+.f64 #s(literal -1/12 binary64) (.f64 #s(literal 1/720 binary64) (*.f64 x x)))))) #s(literal -1 binary64))
(.f64 (+.f64 (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (.f64 x x))) (.f64 (+.f64 #s(literal -1/12 binary64) (.f64 #s(literal 1/720 binary64) (.f64 x x))) (.f64 (+.f64 #s(literal -1/12 binary64) (.f64 #s(literal 1/720 binary64) (.f64 x x))) (+.f64 #s(literal -1/12 binary64) (.f64 #s(literal 1/720 binary64) (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (.f64 x x)) (.f64 (+.f64 #s(literal -1/12 binary64) (.f64 #s(literal 1/720 binary64) (.f64 x x))) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (+.f64 #s(literal -1/12 binary64) (.f64 #s(literal 1/720 binary64) (*.f64 x x))))))))
(.f64 (-.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (.f64 x x)) (.f64 (+.f64 #s(literal -1/12 binary64) (.f64 #s(literal 1/720 binary64) (.f64 x x))) (+.f64 #s(literal -1/12 binary64) (.f64 #s(literal 1/720 binary64) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (+.f64 #s(literal -1/12 binary64) (.f64 #s(literal 1/720 binary64) (.f64 x x))))))
(+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) x)))
(+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)) (neg.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (neg.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)) (neg.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (/.f64 #s(literal 1/2 binary64) x)))
(neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/4 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)
(/.f64 (.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x))) x))
(/.f64 (.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal -1 binary64)) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x))) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (neg.f64 (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/4 binary64))) (neg.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x))) x)))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal -1 binary64))) (neg.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x))) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (neg.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))
(/.f64 (neg.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/4 binary64)) #s(literal -1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) x))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (neg.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) x))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(pow.f64 (/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (.f64 x x))
(.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (.f64 x x))) x)
(.f64 (pow.f64 (/.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(.f64 (pow.f64 (/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x #s(literal 1/12 binary64))
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 x #s(literal -1/720 binary64))
(*.f64 #s(literal -1/720 binary64) x)
(.f64 x (.f64 x #s(literal -1/720 binary64)))
(.f64 #s(literal -1/720 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal -1/720 binary64)) x)
(.f64 (.f64 x x) #s(literal -1/720 binary64))
(.f64 x (.f64 x (*.f64 x #s(literal -1/720 binary64))))
(.f64 (.f64 x #s(literal -1/720 binary64)) (*.f64 x x))
(.f64 (.f64 x (*.f64 x #s(literal -1/720 binary64))) x)
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/720 binary64))
(.f64 (.f64 x x) (*.f64 x #s(literal -1/720 binary64)))
(*.f64 x #s(literal 1/720 binary64))
(*.f64 #s(literal 1/720 binary64) x)
(.f64 x (.f64 x #s(literal 1/720 binary64)))
(.f64 #s(literal 1/720 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/720 binary64)) x)
(.f64 (.f64 x x) #s(literal 1/720 binary64))

simplify228.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

3134×	`-lowering-.f32`
3134×	`-lowering-.f64`
2480×	`+-lowering-+.f64`
2480×	`+-lowering-+.f32`
1622×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	101	1380
1	295	1174
2	910	1136
3	3109	1037
0	8834	1037

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/12 x))))
(+ 1 (* x (+ 1/2 (* 1/12 x))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/2 x)
(* x (+ 1/2 (* 1/12 x)))
(* x (+ 1/2 (* 1/12 x)))
(* x (+ 1/2 (* 1/12 x)))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))
1/2
(+ 1/2 (* 1/12 x))
(+ 1/2 (* 1/12 x))
(+ 1/2 (* 1/12 x))
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(/ 1 x)
(/ (+ 1 x) x)
(/ (+ 1 x) x)
(/ (+ 1 x) x)
1
(+ 1 (/ 1 x))
(+ 1 (/ 1 x))
(+ 1 (/ 1 x))
1
(+ 1 (/ 1 x))
(+ 1 (/ 1 x))
(+ 1 (/ 1 x))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(* -1/720 (pow x 3))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(* -1/720 (pow x 3))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(* -1/720 (pow x 3))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(* -1/720 (pow x 3))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ -1 (pow x 2))
(/ (- (* -1/2 x) 1) (pow x 2))
(/ (- (* x (- (* -1/12 x) 1/2)) 1) (pow x 2))
(/ (- (* x (- (* x (- (* 1/720 (pow x 2)) 1/12)) 1/2)) 1) (pow x 2))
(* 1/720 (pow x 2))
(* (pow x 2) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2)))))
(* (pow x 2) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2)))))
(* 1/720 (pow x 2))
(* (pow x 2) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2)))))
(* (pow x 2) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2)))))
(/ -1 (pow x 2))
(/ (- (* -1/2 x) 1) (pow x 2))
(/ (- (* -1/2 x) 1) (pow x 2))
(/ (- (* -1/2 x) 1) (pow x 2))
(/ -1/2 x)
(* -1 (/ (+ 1/2 (/ 1 x)) x))
(* -1 (/ (+ 1/2 (/ 1 x)) x))
(* -1 (/ (+ 1/2 (/ 1 x)) x))
(/ -1/2 x)
(* -1 (/ (+ 1/2 (/ 1 x)) x))
(* -1 (/ (+ 1/2 (/ 1 x)) x))
(* -1 (/ (+ 1/2 (/ 1 x)) x))
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 3))
(* -1/720 (pow x 3))
(* -1/720 (pow x 3))
(* -1/720 (pow x 3))
(* -1/720 (pow x 3))
(* -1/720 (pow x 3))
(* -1/720 (pow x 3))
(* -1/720 (pow x 3))
(* -1/720 (pow x 3))
(* -1/720 (pow x 3))
(* -1/720 (pow x 3))
(* -1/720 (pow x 3))
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))

Outputs
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(+ 1 (* x (+ 1/2 (* 1/12 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))
(+ 1 (* x (+ 1/2 (* 1/12 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))
(* 1/12 (pow x 2))
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))
(* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))
(* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))
(* 1/12 (pow x 2))
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))
(* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))
(* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/12 x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))
(* x (+ 1/2 (* 1/12 x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))
(* x (+ 1/2 (* 1/12 x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))
(* 1/12 (pow x 2))
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))
(* 1/12 (pow x 2))
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/12 x))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))
(+ 1/2 (* 1/12 x))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))
(+ 1/2 (* 1/12 x))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 x) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/ (+ 1 x) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/ (+ 1 x) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64)))))))) x)
(* -1/720 (pow x 3))
(.f64 #s(literal -1/720 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64)))))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64))))))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) x)))))))
(* -1/720 (pow x 3))
(.f64 #s(literal -1/720 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64)))))
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64))))))
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal -1/12 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/720 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 x x))))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64)))))))) x)
(* -1/720 (pow x 3))
(.f64 #s(literal -1/720 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64)))))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64))))))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) x)))))))
(* -1/720 (pow x 3))
(.f64 #s(literal -1/720 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64)))))
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64))))))
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal -1/12 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/720 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 x x))))))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (* -1/2 x) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ (- (* x (- (* -1/12 x) 1/2)) 1) (pow x 2))
(+.f64 (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/ (- (* x (- (* x (- (* 1/720 (pow x 2)) 1/12)) 1/2)) 1) (pow x 2))
(+.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal -1/2 binary64) x))) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* (pow x 2) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/12 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))
(* (pow x 2) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2)))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* (pow x 2) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/12 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/720 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x)))))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* (pow x 2) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/12 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))
(* (pow x 2) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2)))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* (pow x 2) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/12 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/720 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x)))))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (* -1/2 x) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ (- (* -1/2 x) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ (- (* -1/2 x) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (+ 1/2 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (+ 1/2 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (+ 1/2 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (+ 1/2 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (+ 1/2 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (+ 1/2 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 (pow x 2))
(.f64 x (.f64 x #s(literal -1/720 binary64)))
(* -1/720 (pow x 2))
(.f64 x (.f64 x #s(literal -1/720 binary64)))
(* -1/720 (pow x 2))
(.f64 x (.f64 x #s(literal -1/720 binary64)))
(* -1/720 (pow x 2))
(.f64 x (.f64 x #s(literal -1/720 binary64)))
(* -1/720 (pow x 2))
(.f64 x (.f64 x #s(literal -1/720 binary64)))
(* -1/720 (pow x 2))
(.f64 x (.f64 x #s(literal -1/720 binary64)))
(* -1/720 (pow x 2))
(.f64 x (.f64 x #s(literal -1/720 binary64)))
(* -1/720 (pow x 2))
(.f64 x (.f64 x #s(literal -1/720 binary64)))
(* -1/720 (pow x 2))
(.f64 x (.f64 x #s(literal -1/720 binary64)))
(* -1/720 (pow x 2))
(.f64 x (.f64 x #s(literal -1/720 binary64)))
(* -1/720 (pow x 2))
(.f64 x (.f64 x #s(literal -1/720 binary64)))
(* -1/720 (pow x 2))
(.f64 x (.f64 x #s(literal -1/720 binary64)))
(* -1/720 (pow x 3))
(.f64 #s(literal -1/720 binary64) (.f64 x (*.f64 x x)))
(* -1/720 (pow x 3))
(.f64 #s(literal -1/720 binary64) (.f64 x (*.f64 x x)))
(* -1/720 (pow x 3))
(.f64 #s(literal -1/720 binary64) (.f64 x (*.f64 x x)))
(* -1/720 (pow x 3))
(.f64 #s(literal -1/720 binary64) (.f64 x (*.f64 x x)))
(* -1/720 (pow x 3))
(.f64 #s(literal -1/720 binary64) (.f64 x (*.f64 x x)))
(* -1/720 (pow x 3))
(.f64 #s(literal -1/720 binary64) (.f64 x (*.f64 x x)))
(* -1/720 (pow x 3))
(.f64 #s(literal -1/720 binary64) (.f64 x (*.f64 x x)))
(* -1/720 (pow x 3))
(.f64 #s(literal -1/720 binary64) (.f64 x (*.f64 x x)))
(* -1/720 (pow x 3))
(.f64 #s(literal -1/720 binary64) (.f64 x (*.f64 x x)))
(* -1/720 (pow x 3))
(.f64 #s(literal -1/720 binary64) (.f64 x (*.f64 x x)))
(* -1/720 (pow x 3))
(.f64 #s(literal -1/720 binary64) (.f64 x (*.f64 x x)))
(* -1/720 (pow x 3))
(.f64 #s(literal -1/720 binary64) (.f64 x (*.f64 x x)))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))

eval134.0ms (1.4%)

Compiler: Compiled 22979 to 1929 computations (91.6% saved)

prune83.0ms (0.9%)

Pruning

17 alts after pruning (7 fresh and 10 done)

	Pruned	Kept	Total
New	839	6	845
Fresh	1	1	2
Picked	2	3	5
Done	0	7	7
Total	842	17	859

Accuracy

100.0%

Counts

859 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	66.0%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))) x)
✓	39.3%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	97.6%	(/.f64 (exp.f64 x) x)
▶	66.0%	(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))))
	39.2%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
✓	65.4%	(/.f64 #s(literal 1 binary64) x)
✓	66.1%	(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
✓	66.0%	(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
✓	65.9%	(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -1/720 binary64)))))
✓	65.9%	(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64))))))
	16.3%	(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) x)))))))
▶	26.1%	(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (.f64 x x))
▶	51.4%	(.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 x x)))
▶	37.9%	(.f64 (neg.f64 x) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) (+.f64 #s(literal -1/12 binary64) (.f64 x (*.f64 x #s(literal 1/720 binary64))))))
▶	3.8%	#s(literal 1 binary64)
✓	3.4%	#s(literal 1/2 binary64)

Compiler

Compiled 275 to 190 computations (30.9% saved)

simplify150.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64))
✓	cost-diff	0	(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x)
✓	cost-diff	0	(+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) (+.f64 #s(literal -1/12 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64)))))
✓	cost-diff	256	(.f64 (neg.f64 x) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) (+.f64 #s(literal -1/12 binary64) (.f64 x (*.f64 x #s(literal 1/720 binary64))))))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) x)
✓	cost-diff	128	(+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))
✓	cost-diff	128	(/.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))
✓	cost-diff	512	(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (.f64 x x))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (*.f64 x x))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) x)
✓	cost-diff	384	(.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 x x)))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))
✓	cost-diff	0	(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))))

Rules

2174×	`sum3-define`
1544×	`-lowering-.f32`
1544×	`-lowering-.f64`
1136×	`fmsub-define`
1120×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	33	172
1	90	160
2	268	157
3	976	140
4	4535	137
0	8151	137

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ 1 (/ x (+ 1 (* x (+ 1/2 (* x 1/12))))))
1
(/ x (+ 1 (* x (+ 1/2 (* x 1/12)))))
x
(+ 1 (* x (+ 1/2 (* x 1/12))))
(* x (+ 1/2 (* x 1/12)))
(+ 1/2 (* x 1/12))
1/2
(* x 1/12)
1/12
1
(* (- 0 x) (/ -1 (* x x)))
(- 0 x)
0
x
(/ -1 (* x x))
-1
(* x x)
(* (/ (+ -1 (- 0 x)) (- 0 (* x (* x x)))) (* x x))
(/ (+ -1 (- 0 x)) (- 0 (* x (* x x))))
(+ -1 (- 0 x))
-1
(- 0 x)
0
x
(- 0 (* x (* x x)))
(* x (* x x))
(* x x)
(* (neg x) (+ (/ (+ (/ -1 x) -1/2) x) (+ -1/12 (* x (* x 1/720)))))
(neg x)
x
(+ (/ (+ (/ -1 x) -1/2) x) (+ -1/12 (* x (* x 1/720))))
(/ (+ (/ -1 x) -1/2) x)
(+ (/ -1 x) -1/2)
(/ -1 x)
-1
-1/2
(+ -1/12 (* x (* x 1/720)))
-1/12
(* x (* x 1/720))
(* x 1/720)
1/720

Outputs
(/ 1 (/ x (+ 1 (* x (+ 1/2 (* x 1/12))))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) (/.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(/ x (+ 1 (* x (+ 1/2 (* x 1/12)))))
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))))
x
(+ 1 (* x (+ 1/2 (* x 1/12))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))
(* x (+ 1/2 (* x 1/12)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))
(+ 1/2 (* x 1/12))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))
1/2
#s(literal 1/2 binary64)
(* x 1/12)
(*.f64 x #s(literal 1/12 binary64))
1/12
#s(literal 1/12 binary64)
1
#s(literal 1 binary64)
(* (- 0 x) (/ -1 (* x x)))
(/.f64 #s(literal 1 binary64) x)
(- 0 x)
(-.f64 #s(literal 0 binary64) x)
0
#s(literal 0 binary64)
x
(/ -1 (* x x))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
-1
#s(literal -1 binary64)
(* x x)
(*.f64 x x)
(* (/ (+ -1 (- 0 x)) (- 0 (* x (* x x)))) (* x x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/ (+ -1 (- 0 x)) (- 0 (* x (* x x))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))
(+ -1 (- 0 x))
(-.f64 #s(literal -1 binary64) x)
-1
#s(literal -1 binary64)
(- 0 x)
(-.f64 #s(literal 0 binary64) x)
0
#s(literal 0 binary64)
x
(- 0 (* x (* x x)))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
(* (neg x) (+ (/ (+ (/ -1 x) -1/2) x) (+ -1/12 (* x (* x 1/720)))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 x (+.f64 #s(literal -1/12 binary64) (.f64 x (*.f64 x #s(literal 1/720 binary64))))))
(neg x)
(-.f64 #s(literal 0 binary64) x)
x
(+ (/ (+ (/ -1 x) -1/2) x) (+ -1/12 (* x (* x 1/720))))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) (+.f64 #s(literal -1/12 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64)))))
(/ (+ (/ -1 x) -1/2) x)
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x)
(+ (/ -1 x) -1/2)
(+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
-1
#s(literal -1 binary64)
-1/2
#s(literal -1/2 binary64)
(+ -1/12 (* x (* x 1/720)))
(+.f64 #s(literal -1/12 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))
-1/12
#s(literal -1/12 binary64)
(* x (* x 1/720))
(.f64 x (.f64 x #s(literal 1/720 binary64)))
(* x 1/720)
(*.f64 x #s(literal 1/720 binary64))
1/720
#s(literal 1/720 binary64)

localize186.0ms (1.9%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x)
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/720 binary64)))
✓	accuracy	99.6%	(*.f64 x #s(literal 1/720 binary64))
✓	accuracy	71.8%	(.f64 (neg.f64 x) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) (+.f64 #s(literal -1/12 binary64) (.f64 x (*.f64 x #s(literal 1/720 binary64))))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	94.4%	(/.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))
✓	accuracy	42.9%	(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (.f64 x x))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.3%	(/.f64 #s(literal -1 binary64) (*.f64 x x))
✓	accuracy	58.1%	(.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 x x)))
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))))
✓	accuracy	99.4%	(*.f64 x #s(literal 1/12 binary64))
✓	accuracy	85.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))))

Results

137.0ms	254×	0	valid
2.0ms	1×	5	exit
1.0ms	1×	2	valid

Compiler

Compiled 204 to 34 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 16.0ms (31.5% of total)

...c/correct-round.rkt:119:19: 12.0ms (23.6% of total)

ival-div: 10.0ms (19.7% of total)

ival-add: 8.0ms (15.7% of total)

ival-sub: 2.0ms (3.9% of total)

const: 1.0ms (2% of total)

backward-pass: 1.0ms (2% of total)

ival-neg: 1.0ms (2% of total)

series9.0ms (0.1%)

Counts

19 → 228

Calls

Call 1

Inputs
#<alt (/ 1 (/ x (+ 1 (* x (+ 1/2 (* x 1/12))))))>
#<alt (/ x (+ 1 (* x (+ 1/2 (* x 1/12)))))>
#<alt (+ 1 (* x (+ 1/2 (* x 1/12))))>
#<alt (* x (+ 1/2 (* x 1/12)))>
#<alt (* (- 0 x) (/ -1 (* x x)))>
#<alt (- 0 x)>
#<alt (/ -1 (* x x))>
#<alt (* x x)>
#<alt (* (/ (+ -1 (- 0 x)) (- 0 (* x (* x x)))) (* x x))>
#<alt (/ (+ -1 (- 0 x)) (- 0 (* x (* x x))))>
#<alt (+ -1 (- 0 x))>
#<alt (* (neg x) (+ (/ (+ (/ -1 x) -1/2) x) (+ -1/12 (* x (* x 1/720)))))>
#<alt (+ (/ (+ (/ -1 x) -1/2) x) (+ -1/12 (* x (* x 1/720))))>
#<alt (/ (+ (/ -1 x) -1/2) x)>
#<alt (+ (/ -1 x) -1/2)>
#<alt (* x 1/12)>
#<alt (* x (* x x))>
#<alt (* x 1/720)>
#<alt (* x (* x 1/720))>

Outputs
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/6 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/6 (* -1/24 x))) 1/2))))>
#<alt (/ 12 x)>
#<alt (/ (- 12 (* 72 (/ 1 x))) x)>
#<alt (/ (- (+ 12 (/ 288 (pow x 2))) (* 72 (/ 1 x))) x)>
#<alt (/ (- (+ 12 (/ 288 (pow x 2))) (+ (* 72 (/ 1 x)) (* 864 (/ 1 (pow x 3))))) x)>
#<alt (/ 12 x)>
#<alt (* -1 (/ (- (* 72 (/ 1 x)) 12) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 288 (/ 1 x)) 72) x)) 12) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 864 (/ 1 x)) 288) x)) 72) x)) 12) x))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/12 x))))>
#<alt (+ 1 (* x (+ 1/2 (* 1/12 x))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/12 x)))>
#<alt (* x (+ 1/2 (* 1/12 x)))>
#<alt (* x (+ 1/2 (* 1/12 x)))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 x) x)>
#<alt (/ (+ 1 x) x)>
#<alt (/ (+ 1 x) x)>
#<alt 1>
#<alt (+ 1 (/ 1 x))>
#<alt (+ 1 (/ 1 x))>
#<alt (+ 1 (/ 1 x))>
#<alt 1>
#<alt (+ 1 (/ 1 x))>
#<alt (+ 1 (/ 1 x))>
#<alt (+ 1 (/ 1 x))>
#<alt (/ 1 (pow x 3))>
#<alt (/ (+ 1 x) (pow x 3))>
#<alt (/ (+ 1 x) (pow x 3))>
#<alt (/ (+ 1 x) (pow x 3))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (/ 1 x)) (pow x 2))>
#<alt (/ (+ 1 (/ 1 x)) (pow x 2))>
#<alt (/ (+ 1 (/ 1 x)) (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (/ 1 x)) (pow x 2))>
#<alt (/ (+ 1 (/ 1 x)) (pow x 2))>
#<alt (/ (+ 1 (/ 1 x)) (pow x 2))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* -1 x) 1)>
#<alt (- (* -1 x) 1)>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)>
#<alt (* -1/720 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))>
#<alt (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))>
#<alt (* -1/720 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (* -1/2 x) 1) (pow x 2))>
#<alt (/ (- (* x (- (* -1/12 x) 1/2)) 1) (pow x 2))>
#<alt (/ (- (* x (- (* x (- (* 1/720 (pow x 2)) 1/12)) 1/2)) 1) (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* (pow x 2) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2)))))>
#<alt (* (pow x 2) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/720 (pow x 2))>
#<alt (* (pow x 2) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2)))))>
#<alt (* (pow x 2) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2)))))>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (* -1/2 x) 1) (pow x 2))>
#<alt (/ (- (* -1/2 x) 1) (pow x 2))>
#<alt (/ (- (* -1/2 x) 1) (pow x 2))>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (+ 1/2 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 1/2 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 1/2 (/ 1 x)) x))>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (+ 1/2 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 1/2 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 1/2 (/ 1 x)) x))>
#<alt (/ -1 x)>
#<alt (/ (- (* -1/2 x) 1) x)>
#<alt (/ (- (* -1/2 x) 1) x)>
#<alt (/ (- (* -1/2 x) 1) x)>
#<alt -1/2>
#<alt (* -1 (+ 1/2 (/ 1 x)))>
#<alt (* -1 (+ 1/2 (/ 1 x)))>
#<alt (* -1 (+ 1/2 (/ 1 x)))>
#<alt -1/2>
#<alt (* -1 (+ 1/2 (/ 1 x)))>
#<alt (* -1 (+ 1/2 (/ 1 x)))>
#<alt (* -1 (+ 1/2 (/ 1 x)))>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>

Calls

57 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(/ (+ (/ -1 x) -1/2) x)
0.0ms	x	@	0	(/ -1 (* x x))
0.0ms	x	@	-inf	(* (/ (+ -1 (- 0 x)) (- 0 (* x (* x x)))) (* x x))
0.0ms	x	@	0	(/ x (+ 1 (* x (+ 1/2 (* x 1/12)))))
0.0ms	x	@	inf	(/ -1 (* x x))

rewrite378.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

2994×	`/-lowering-/.f32`
2994×	`/-lowering-/.f64`
2530×	`-lowering-.f32`
2530×	`-lowering-.f64`
1476×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	132
1	227	115
2	2419	103
0	9805	103

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 920

Calls

Call 1

Inputs
(/ 1 (/ x (+ 1 (* x (+ 1/2 (* x 1/12))))))
(/ x (+ 1 (* x (+ 1/2 (* x 1/12)))))
(+ 1 (* x (+ 1/2 (* x 1/12))))
(* x (+ 1/2 (* x 1/12)))
(* (- 0 x) (/ -1 (* x x)))
(- 0 x)
(/ -1 (* x x))
(* x x)
(* (/ (+ -1 (- 0 x)) (- 0 (* x (* x x)))) (* x x))
(/ (+ -1 (- 0 x)) (- 0 (* x (* x x))))
(+ -1 (- 0 x))
(* (neg x) (+ (/ (+ (/ -1 x) -1/2) x) (+ -1/12 (* x (* x 1/720)))))
(+ (/ (+ (/ -1 x) -1/2) x) (+ -1/12 (* x (* x 1/720))))
(/ (+ (/ -1 x) -1/2) x)
(+ (/ -1 x) -1/2)
(* x 1/12)
(* x (* x x))
(* x 1/720)
(* x (* x 1/720))

Outputs
(+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) (/.f64 #s(literal 1 binary64) x))
(+.f64 (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(exp.f64 (.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))) x))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))) x) (/.f64 (/.f64 (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))) x))
(-.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 1/12 binary64))))))) (/.f64 (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (/.f64 #s(literal 1 binary64) x))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 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 1/12 binary64)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 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 1/12 binary64)))))))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) #s(literal 1 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) #s(literal 1 binary64))))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))))) x)
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))))) (neg.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))))) (neg.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) #s(literal 1 binary64)))))
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(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x #s(literal -1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (*.f64 x x) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/4 binary64)))))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (neg.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/4 binary64))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))) (neg.f64 (neg.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(pow.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/2 binary64) x))))
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x #s(literal 1/12 binary64))
(*.f64 #s(literal 1/12 binary64) x)
(+.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))
(+.f64 (.f64 x (.f64 x x)) #s(literal 0 binary64))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 x (*.f64 x x)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (.f64 x (.f64 x x)))
(fma.f64 x (*.f64 x x) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) x #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))) #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) #s(literal 0 binary64))
(neg.f64 (.f64 x (.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
(/.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64))
(/.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (*.f64 x x)))
(/.f64 (.f64 (.f64 x x) (*.f64 x x)) x)
(/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (pow.f64 (.f64 (.f64 x x) (.f64 x (*.f64 x x))) #s(literal 3 binary64)))
(/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x x))) (*.f64 x x))
(/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (pow.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))) #s(literal 3 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (*.f64 x x))
(/.f64 (neg.f64 (.f64 (.f64 x x) (*.f64 x x))) x)
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64))
(pow.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 x x))
(.f64 x (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) x)
(.f64 (.f64 x x) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x (*.f64 x x))))
(.f64 (.f64 x x) (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (*.f64 x x))))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1 binary64))
(.f64 (.f64 x (*.f64 x x)) (/.f64 x x))
(.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x x) (*.f64 x x)))
(.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (.f64 x (*.f64 x x))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (*.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (.f64 x x) (.f64 x (*.f64 x x))) x))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (/.f64 x x) (.f64 x (*.f64 x x)))
(.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 x (*.f64 x x)))
(.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))
(.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) x))
(.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) x) (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x x)))))
(.f64 (/.f64 (pow.f64 x #s(literal 9/2 binary64)) x) (/.f64 (pow.f64 x #s(literal 9/2 binary64)) (.f64 (.f64 x x) (.f64 x (*.f64 x x)))))
(.f64 (/.f64 (pow.f64 x #s(literal 9/2 binary64)) (.f64 (.f64 x x) (.f64 x (*.f64 x x)))) (/.f64 (pow.f64 x #s(literal 9/2 binary64)) x))
(.f64 (/.f64 (pow.f64 x #s(literal 9/2 binary64)) (.f64 x x)) (/.f64 (pow.f64 x #s(literal 9/2 binary64)) (.f64 (.f64 x x) (*.f64 x x))))
(.f64 (/.f64 (pow.f64 x #s(literal 9/2 binary64)) (.f64 x x)) (/.f64 (pow.f64 x #s(literal 9/2 binary64)) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (/.f64 (pow.f64 x #s(literal 9/2 binary64)) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 9/2 binary64)) (*.f64 x x)))
(.f64 (/.f64 (pow.f64 x #s(literal 9/2 binary64)) (.f64 x (.f64 x x))) (/.f64 (pow.f64 x #s(literal 9/2 binary64)) (.f64 x (*.f64 x x))))
(.f64 (/.f64 (.f64 x (.f64 x x)) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 (.f64 x (*.f64 x x)) (pow.f64 x #s(literal 3/2 binary64))))
(.f64 (/.f64 (.f64 x x) (.f64 x x)) (.f64 x (*.f64 x x)))
(.f64 (/.f64 (.f64 x x) (.f64 x x)) (/.f64 (.f64 x (.f64 x (.f64 x x))) x))
(.f64 (/.f64 (.f64 x x) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 (.f64 (.f64 x x) (*.f64 x x)) (pow.f64 x #s(literal 3/2 binary64))))
(.f64 (/.f64 (.f64 x x) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 (.f64 x (.f64 x (*.f64 x x))) (pow.f64 x #s(literal 3/2 binary64))))
(.f64 (/.f64 x (pow.f64 x #s(literal 3/2 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 x (*.f64 x x))) (pow.f64 x #s(literal 3/2 binary64))))
(.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (*.f64 x x))) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 x (pow.f64 x #s(literal 3/2 binary64))))
(.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 (*.f64 x x) (pow.f64 x #s(literal 3/2 binary64))))
(.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x x))) #s(literal -1 binary64)) (/.f64 x (.f64 x (*.f64 x x))))
(*.f64 x #s(literal 1/720 binary64))
(*.f64 #s(literal 1/720 binary64) x)
(.f64 x (.f64 x #s(literal 1/720 binary64)))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(.f64 #s(literal 1/720 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/720 binary64)) x)

simplify226.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

2984×	`-lowering-.f32`
2984×	`-lowering-.f64`
1370×	`+-lowering-+.f64`
1370×	`+-lowering-+.f32`
1204×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	160	1308
1	500	1110
2	1406	1061
3	4566	1035
0	8256	1035

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/6 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/6 (* -1/24 x))) 1/2))))
(/ 12 x)
(/ (- 12 (* 72 (/ 1 x))) x)
(/ (- (+ 12 (/ 288 (pow x 2))) (* 72 (/ 1 x))) x)
(/ (- (+ 12 (/ 288 (pow x 2))) (+ (* 72 (/ 1 x)) (* 864 (/ 1 (pow x 3))))) x)
(/ 12 x)
(* -1 (/ (- (* 72 (/ 1 x)) 12) x))
(* -1 (/ (- (* -1 (/ (- (* 288 (/ 1 x)) 72) x)) 12) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 864 (/ 1 x)) 288) x)) 72) x)) 12) x))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/12 x))))
(+ 1 (* x (+ 1/2 (* 1/12 x))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/2 x)
(* x (+ 1/2 (* 1/12 x)))
(* x (+ 1/2 (* 1/12 x)))
(* x (+ 1/2 (* 1/12 x)))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1 x)
(/ (+ 1 x) x)
(/ (+ 1 x) x)
(/ (+ 1 x) x)
1
(+ 1 (/ 1 x))
(+ 1 (/ 1 x))
(+ 1 (/ 1 x))
1
(+ 1 (/ 1 x))
(+ 1 (/ 1 x))
(+ 1 (/ 1 x))
(/ 1 (pow x 3))
(/ (+ 1 x) (pow x 3))
(/ (+ 1 x) (pow x 3))
(/ (+ 1 x) (pow x 3))
(/ 1 (pow x 2))
(/ (+ 1 (/ 1 x)) (pow x 2))
(/ (+ 1 (/ 1 x)) (pow x 2))
(/ (+ 1 (/ 1 x)) (pow x 2))
(/ 1 (pow x 2))
(/ (+ 1 (/ 1 x)) (pow x 2))
(/ (+ 1 (/ 1 x)) (pow x 2))
(/ (+ 1 (/ 1 x)) (pow x 2))
-1
(- (* -1 x) 1)
(- (* -1 x) 1)
(- (* -1 x) 1)
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(* -1/720 (pow x 3))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(* -1/720 (pow x 3))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))
(/ -1 (pow x 2))
(/ (- (* -1/2 x) 1) (pow x 2))
(/ (- (* x (- (* -1/12 x) 1/2)) 1) (pow x 2))
(/ (- (* x (- (* x (- (* 1/720 (pow x 2)) 1/12)) 1/2)) 1) (pow x 2))
(* 1/720 (pow x 2))
(* (pow x 2) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2)))))
(* (pow x 2) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2)))))
(* 1/720 (pow x 2))
(* (pow x 2) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2)))))
(* (pow x 2) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2)))))
(/ -1 (pow x 2))
(/ (- (* -1/2 x) 1) (pow x 2))
(/ (- (* -1/2 x) 1) (pow x 2))
(/ (- (* -1/2 x) 1) (pow x 2))
(/ -1/2 x)
(* -1 (/ (+ 1/2 (/ 1 x)) x))
(* -1 (/ (+ 1/2 (/ 1 x)) x))
(* -1 (/ (+ 1/2 (/ 1 x)) x))
(/ -1/2 x)
(* -1 (/ (+ 1/2 (/ 1 x)) x))
(* -1 (/ (+ 1/2 (/ 1 x)) x))
(* -1 (/ (+ 1/2 (/ 1 x)) x))
(/ -1 x)
(/ (- (* -1/2 x) 1) x)
(/ (- (* -1/2 x) 1) x)
(/ (- (* -1/2 x) 1) x)
-1/2
(* -1 (+ 1/2 (/ 1 x)))
(* -1 (+ 1/2 (/ 1 x)))
(* -1 (+ 1/2 (/ 1 x)))
-1/2
(* -1 (+ 1/2 (/ 1 x)))
(* -1 (+ 1/2 (/ 1 x)))
(* -1 (+ 1/2 (/ 1 x)))
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))

Outputs
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))) x)
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
x
(* x (+ 1 (* -1/2 x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))
(* x (+ 1 (* x (- (* 1/6 x) 1/2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
(* x (+ 1 (* x (- (* x (+ 1/6 (* -1/24 x))) 1/2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))))))
(/ 12 x)
(/.f64 #s(literal 12 binary64) x)
(/ (- 12 (* 72 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal -72 binary64) x)) x)
(/ (- (+ 12 (/ 288 (pow x 2))) (* 72 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 288 binary64) x) #s(literal -72 binary64)) x)) x)
(/ (- (+ 12 (/ 288 (pow x 2))) (+ (* 72 (/ 1 x)) (* 864 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 #s(literal 12 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 288 binary64) x) #s(literal -72 binary64)) x) (/.f64 #s(literal -864 binary64) (.f64 x (.f64 x x))))) x)
(/ 12 x)
(/.f64 #s(literal 12 binary64) x)
(* -1 (/ (- (* 72 (/ 1 x)) 12) x))
(/.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal -72 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 288 (/ 1 x)) 72) x)) 12) x))
(/.f64 (+.f64 #s(literal 12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 288 binary64) x) #s(literal -72 binary64)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 864 (/ 1 x)) 288) x)) 72) x)) 12) x))
(/.f64 (+.f64 #s(literal 12 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 288 binary64) (/.f64 #s(literal -864 binary64) x)) x) #s(literal -72 binary64)) x)) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(+ 1 (* x (+ 1/2 (* 1/12 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))
(+ 1 (* x (+ 1/2 (* 1/12 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))
(* 1/12 (pow x 2))
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))
(* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))
(* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))
(* 1/12 (pow x 2))
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))
(* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))
(* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/12 x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))
(* x (+ 1/2 (* 1/12 x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))
(* x (+ 1/2 (* 1/12 x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))
(* 1/12 (pow x 2))
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))
(* 1/12 (pow x 2))
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 x) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/ (+ 1 x) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/ (+ 1 x) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/ 1 (pow x 3))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)
(/ (+ 1 x) (pow x 3))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) x)
(/ (+ 1 x) (pow x 3))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) x)
(/ (+ 1 x) (pow x 3))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (/ 1 x)) (pow x 2))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) x)
(/ (+ 1 (/ 1 x)) (pow x 2))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) x)
(/ (+ 1 (/ 1 x)) (pow x 2))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (/ 1 x)) (pow x 2))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) x)
(/ (+ 1 (/ 1 x)) (pow x 2))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) x)
(/ (+ 1 (/ 1 x)) (pow x 2))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) x)
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f64 #s(literal -1 binary64) x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f64 #s(literal -1 binary64) x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f64 #s(literal -1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f64 #s(literal -1 binary64) x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f64 #s(literal -1 binary64) x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f64 #s(literal -1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64)))))))) x)
(* -1/720 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/720 binary64))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64)))))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(+.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x))))))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(.f64 (.f64 x (.f64 x x)) (+.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (*.f64 x x)) x)))))
(* -1/720 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/720 binary64))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64)))))
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))
(-.f64 #s(literal 0 binary64) (.f64 x (+.f64 (.f64 x (*.f64 x #s(literal 1/720 binary64))) (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal -1/2 binary64) x)))))
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))
(-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal -1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 x (*.f64 x x))))))))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (* -1/2 x) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ (- (* x (- (* -1/12 x) 1/2)) 1) (pow x 2))
(/.f64 (+.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) (/.f64 #s(literal -1 binary64) x)) x)
(/ (- (* x (- (* x (- (* 1/720 (pow x 2)) 1/12)) 1/2)) 1) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal -1/12 binary64) (.f64 x (*.f64 x #s(literal 1/720 binary64)))))) (/.f64 #s(literal -1 binary64) x)) x)
(* 1/720 (pow x 2))
(.f64 x (.f64 x #s(literal 1/720 binary64)))
(* (pow x 2) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/12 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))
(* (pow x 2) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2)))))
(+.f64 (.f64 x (.f64 x #s(literal 1/720 binary64))) (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* (pow x 2) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 x (.f64 x x))))))
(* 1/720 (pow x 2))
(.f64 x (.f64 x #s(literal 1/720 binary64)))
(* (pow x 2) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/12 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))
(* (pow x 2) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2)))))
(+.f64 (.f64 x (.f64 x #s(literal 1/720 binary64))) (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* (pow x 2) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 x (.f64 x x))))))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (* -1/2 x) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ (- (* -1/2 x) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ (- (* -1/2 x) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (+ 1/2 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (+ 1/2 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (+ 1/2 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (+ 1/2 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (+ 1/2 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (+ 1/2 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* -1/2 x) 1) x)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))
(/ (- (* -1/2 x) 1) x)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))
(/ (- (* -1/2 x) 1) x)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))
-1/2
#s(literal -1/2 binary64)
(* -1 (+ 1/2 (/ 1 x)))
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))
(* -1 (+ 1/2 (/ 1 x)))
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))
(* -1 (+ 1/2 (/ 1 x)))
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))
-1/2
#s(literal -1/2 binary64)
(* -1 (+ 1/2 (/ 1 x)))
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))
(* -1 (+ 1/2 (/ 1 x)))
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))
(* -1 (+ 1/2 (/ 1 x)))
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(.f64 x (.f64 x #s(literal 1/720 binary64)))
(* 1/720 (pow x 2))
(.f64 x (.f64 x #s(literal 1/720 binary64)))
(* 1/720 (pow x 2))
(.f64 x (.f64 x #s(literal 1/720 binary64)))
(* 1/720 (pow x 2))
(.f64 x (.f64 x #s(literal 1/720 binary64)))
(* 1/720 (pow x 2))
(.f64 x (.f64 x #s(literal 1/720 binary64)))
(* 1/720 (pow x 2))
(.f64 x (.f64 x #s(literal 1/720 binary64)))
(* 1/720 (pow x 2))
(.f64 x (.f64 x #s(literal 1/720 binary64)))
(* 1/720 (pow x 2))
(.f64 x (.f64 x #s(literal 1/720 binary64)))
(* 1/720 (pow x 2))
(.f64 x (.f64 x #s(literal 1/720 binary64)))
(* 1/720 (pow x 2))
(.f64 x (.f64 x #s(literal 1/720 binary64)))
(* 1/720 (pow x 2))
(.f64 x (.f64 x #s(literal 1/720 binary64)))
(* 1/720 (pow x 2))
(.f64 x (.f64 x #s(literal 1/720 binary64)))

eval182.0ms (1.9%)

Compiler: Compiled 31898 to 3429 computations (89.3% saved)

prune195.0ms (2%)

Pruning

24 alts after pruning (11 fresh and 13 done)

	Pruned	Kept	Total
New	1345	9	1354
Fresh	0	2	2
Picked	2	3	5
Done	0	10	10
Total	1347	24	1371

Accuracy

100.0%

Counts

1371 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	66.0%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))) x)
	17.9%	(/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x)))
	26.6%	(/.f64 (.f64 x x) (.f64 x (*.f64 x x)))
✓	39.3%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	97.6%	(/.f64 (exp.f64 x) x)
	51.9%	(/.f64 x (*.f64 x x))
✓	66.0%	(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))))
	39.2%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
	90.3%	(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))))))))
	86.5%	(/.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)))))))
	81.0%	(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))))
✓	65.4%	(/.f64 #s(literal 1 binary64) x)
✓	66.1%	(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
✓	66.0%	(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
✓	65.9%	(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -1/720 binary64)))))
✓	65.9%	(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64))))))
	16.3%	(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) x)))))))
	9.7%	(.f64 (/.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
	16.6%	(.f64 (/.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (*.f64 x x)))
	51.4%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x)
✓	37.9%	(.f64 (neg.f64 x) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) (+.f64 #s(literal -1/12 binary64) (.f64 x (*.f64 x #s(literal 1/720 binary64))))))
✓	3.8%	#s(literal 1 binary64)
✓	3.4%	#s(literal 1/2 binary64)

Compiler

Compiled 626 to 275 computations (56.1% saved)

regimes25.0ms (0.3%)

Counts

29 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 x (*.f64 x x))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x)
(.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))))
(/.f64 (.f64 x x) (.f64 x (*.f64 x x)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 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)))))))
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))))
(/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x)))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64))))))
(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (.f64 x x))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -1/720 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))))))))
(.f64 (neg.f64 x) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) (+.f64 #s(literal -1/12 binary64) (.f64 x (*.f64 x #s(literal 1/720 binary64))))))
(.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) (+.f64 #s(literal -1/12 binary64) (.f64 x (*.f64 x #s(literal 1/720 binary64))))))
(.f64 (/.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (*.f64 x x)))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))))))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) x)))))))
(.f64 (/.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 (exp.f64 x) x)
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

Outputs
(/.f64 (exp.f64 x) (expm1.f64 x))

Calls

3 calls:

9.0ms	x
7.0ms	(exp.f64 x)
7.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

Results

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes18.0ms (0.2%)

Counts

27 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 x (*.f64 x x))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x)
(.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))))
(/.f64 (.f64 x x) (.f64 x (*.f64 x x)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 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)))))))
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))))
(/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x)))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64))))))
(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (.f64 x x))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -1/720 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))))))))
(.f64 (neg.f64 x) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) (+.f64 #s(literal -1/12 binary64) (.f64 x (*.f64 x #s(literal 1/720 binary64))))))
(.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) (+.f64 #s(literal -1/12 binary64) (.f64 x (*.f64 x #s(literal 1/720 binary64))))))
(.f64 (/.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (*.f64 x x)))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))))))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) x)))))))
(.f64 (/.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 (exp.f64 x) x)
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))))

Outputs

(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))))

(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))

Calls

2 calls:

10.0ms	x
6.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
99.4%	2	`x`
99.4%	2	`(exp.f64 x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes12.0ms (0.1%)

Counts

26 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 x (*.f64 x x))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x)
(.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))))
(/.f64 (.f64 x x) (.f64 x (*.f64 x x)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 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)))))))
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))))
(/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x)))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64))))))
(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (.f64 x x))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -1/720 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))))))))
(.f64 (neg.f64 x) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) (+.f64 #s(literal -1/12 binary64) (.f64 x (*.f64 x #s(literal 1/720 binary64))))))
(.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) (+.f64 #s(literal -1/12 binary64) (.f64 x (*.f64 x #s(literal 1/720 binary64))))))
(.f64 (/.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (*.f64 x x)))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))))))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) x)))))))
(.f64 (/.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 (exp.f64 x) x)

Outputs
(/.f64 (exp.f64 x) x)
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -1/720 binary64)))))

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
99.3%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0.1%)

Counts

25 → 4

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 x (*.f64 x x))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x)
(.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))))
(/.f64 (.f64 x x) (.f64 x (*.f64 x x)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 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)))))))
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))))
(/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x)))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64))))))
(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (.f64 x x))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -1/720 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))))))))
(.f64 (neg.f64 x) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) (+.f64 #s(literal -1/12 binary64) (.f64 x (*.f64 x #s(literal 1/720 binary64))))))
(.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) (+.f64 #s(literal -1/12 binary64) (.f64 x (*.f64 x #s(literal 1/720 binary64))))))
(.f64 (/.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (*.f64 x x)))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))))))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) x)))))))
(.f64 (/.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))

Outputs
(/.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 (/.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (*.f64 x x)))
(.f64 (/.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -1/720 binary64)))))

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
95.9%	4	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes10.0ms (0.1%)

Counts

24 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 x (*.f64 x x))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x)
(.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))))
(/.f64 (.f64 x x) (.f64 x (*.f64 x x)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 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)))))))
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))))
(/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x)))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64))))))
(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (.f64 x x))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -1/720 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))))))))
(.f64 (neg.f64 x) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) (+.f64 #s(literal -1/12 binary64) (.f64 x (*.f64 x #s(literal 1/720 binary64))))))
(.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) (+.f64 #s(literal -1/12 binary64) (.f64 x (*.f64 x #s(literal 1/720 binary64))))))
(.f64 (/.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (*.f64 x x)))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))))))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) x)))))))

Outputs
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))))))))

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
90.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts

18 → 3

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 x (*.f64 x x))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x)
(.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))))
(/.f64 (.f64 x x) (.f64 x (*.f64 x x)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 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)))))))
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))))
(/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x)))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64))))))
(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (.f64 x x))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -1/720 binary64)))))

Outputs

(/.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 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))

(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/720 binary64)))))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
90.3%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts

17 → 3

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 x (*.f64 x x))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x)
(.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))))
(/.f64 (.f64 x x) (.f64 x (*.f64 x x)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 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)))))))
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))))
(/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x)))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64))))))
(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (.f64 x x))

Outputs

(/.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 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))

(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64))))))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
90.3%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts

15 → 3

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 x (*.f64 x x))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x)
(.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))))
(/.f64 (.f64 x x) (.f64 x (*.f64 x x)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 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)))))))
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))))
(/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x)))

Outputs

(/.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 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))

(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
90.2%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts

14 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 x (*.f64 x x))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x)
(.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))))
(/.f64 (.f64 x x) (.f64 x (*.f64 x x)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 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)))))))
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))))

Outputs
(/.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)))))))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
86.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts

12 → 3

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 x (*.f64 x x))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x)
(.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))))
(/.f64 (.f64 x x) (.f64 x (*.f64 x x)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))) x)

Outputs
(/.f64 x (*.f64 x x))
(/.f64 (.f64 x x) (.f64 x (*.f64 x x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
86.4%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

10 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 x (*.f64 x x))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x)
(.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))))

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
81.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

9 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 x (*.f64 x x))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x)
(.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))

Outputs
(/.f64 x (*.f64 x x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
81.2%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
80.8%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
66.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
65.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
3.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)

Outputs
#s(literal 1/2 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
3.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9385291578840966	0.9999999456117877

Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch17.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	-65053171600646.89	-0.06344135483499963

Results

11.0ms

160×

valid

Compiler

Compiled 262 to 188 computations (28.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-exp: 4.0ms (65.8% of total)

ival-sub: 1.0ms (16.5% of total)

ival-div: 1.0ms (16.5% of total)

const: 0.0ms (0% of total)

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

bsearch40.0ms (0.4%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	-65053171600646.89	-0.06344135483499963
12.0ms	-8.361303449793916e+52	-1.14780516457651e+49
11.0ms	-6.959717478051343e+105	-3.8809379537962626e+102

Results

23.0ms

416×

valid

Compiler

Compiled 1320 to 526 computations (60.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-div: 4.0ms (35.9% of total)

ival-exp: 4.0ms (35.9% of total)

ival-sub: 2.0ms (18% of total)

const: 1.0ms (9% of total)

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

bsearch46.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
31.0ms	-65053171600646.89	-0.06344135483499963
12.0ms	-6.959717478051343e+105	-3.8809379537962626e+102

Results

32.0ms

288×

valid

Compiler

Compiled 592 to 344 computations (41.9% saved)

Precisions

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

ival-exp: 20.0ms (82.5% of total)

ival-sub: 2.0ms (8.2% of total)

ival-div: 2.0ms (8.2% of total)

const: 0.0ms (0% of total)

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

bsearch28.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	-65053171600646.89	-0.06344135483499963
11.0ms	-6.959717478051343e+105	-3.8809379537962626e+102

Results

15.0ms

288×

valid

Compiler

Compiled 572 to 334 computations (41.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-exp: 3.0ms (42.7% of total)

ival-sub: 2.0ms (28.5% of total)

ival-div: 2.0ms (28.5% of total)

const: 0.0ms (0% of total)

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

bsearch27.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	-65053171600646.89	-0.06344135483499963
11.0ms	-6.959717478051343e+105	-3.8809379537962626e+102

Results

15.0ms

288×

valid

Compiler

Compiled 512 to 294 computations (42.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-exp: 3.0ms (42.9% of total)

ival-sub: 2.0ms (28.6% of total)

ival-div: 2.0ms (28.6% of total)

const: 0.0ms (0% of total)

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

bsearch32.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	-65053171600646.89	-0.06344135483499963
16.0ms	-1.5262483128472802e+155	-5.663276494584871e+151

Results

21.0ms

288×

valid

Compiler

Compiled 376 to 220 computations (41.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-exp: 3.0ms (42.3% of total)

ival-sub: 2.0ms (28.2% of total)

ival-div: 2.0ms (28.2% of total)

const: 0.0ms (0% of total)

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

bsearch15.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	-65053171600646.89	-0.06344135483499963

Results

9.0ms

160×

valid

Compiler

Compiled 192 to 138 computations (28.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-exp: 2.0ms (47.4% of total)

ival-sub: 1.0ms (23.7% of total)

ival-div: 1.0ms (23.7% of total)

const: 0.0ms (0% of total)

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

bsearch16.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	-65053171600646.89	-0.06344135483499963

Results

9.0ms

160×

valid

Compiler

Compiled 152 to 108 computations (28.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-exp: 2.0ms (48.3% of total)

ival-sub: 1.0ms (24.1% of total)

ival-div: 1.0ms (24.1% of total)

const: 0.0ms (0% of total)

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

simplify18.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

46×	`*-commutative_binary64`
32×	`+-commutative_binary64`
16×	`neg-mul-1_binary64`
14×	`unsub-neg_binary64`
8×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	403
1	126	403
2	134	403
3	140	403
4	147	403
5	159	403
6	175	403

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (exp.f64 x) (expm1.f64 x))
(if (<=.f64 (exp.f64 x) #s(literal 4278419646001971/4503599627370496 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))
(if (<=.f64 x #s(literal -4278419646001971/1125899906842624 binary64)) (/.f64 (exp.f64 x) x) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -1/720 binary64))))))
(if (<=.f64 x #s(literal -5600000000000000368800510695160527274684567378396080134784128255846880772676400396457760261629840195584 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))))))) (if (<=.f64 x #s(literal -2350000000000000116992028963241413035065720866603008 binary64)) (.f64 (/.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x x))) (if (<=.f64 x #s(literal -8782019273372467/2251799813685248 binary64)) (.f64 (/.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (.f64 x (*.f64 x #s(literal -1/720 binary64))))))))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))))))))
(if (<=.f64 x #s(literal -5600000000000000368800510695160527274684567378396080134784128255846880772676400396457760261629840195584 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))))))) (if (<=.f64 x #s(literal -8782019273372467/2251799813685248 binary64)) (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -1/720 binary64)))))))
(if (<=.f64 x #s(literal -5600000000000000368800510695160527274684567378396080134784128255846880772676400396457760261629840195584 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))))))) (if (<=.f64 x #s(literal -8782019273372467/2251799813685248 binary64)) (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64))))))))
(if (<=.f64 x #s(literal -5600000000000000368800510695160527274684567378396080134784128255846880772676400396457760261629840195584 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))))))) (if (<=.f64 x #s(literal -6 binary64)) (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 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)))))))
(if (<=.f64 x #s(literal -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (/.f64 x (.f64 x x)) (if (<=.f64 x #s(literal -6 binary64)) (/.f64 (.f64 x x) (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))))
(if (<=.f64 x #s(literal -6 binary64)) (/.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))
(if (<=.f64 x #s(literal -7656119366529843/4503599627370496 binary64)) (/.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal 1/2 binary64)

Outputs
(/.f64 (exp.f64 x) (expm1.f64 x))
(if (<=.f64 (exp.f64 x) #s(literal 4278419646001971/4503599627370496 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))
(if (<=.f64 (exp.f64 x) #s(literal 4278419646001971/4503599627370496 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))
(if (<=.f64 x #s(literal -4278419646001971/1125899906842624 binary64)) (/.f64 (exp.f64 x) x) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -1/720 binary64))))))
(if (<=.f64 x #s(literal -5600000000000000368800510695160527274684567378396080134784128255846880772676400396457760261629840195584 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))))))) (if (<=.f64 x #s(literal -2350000000000000116992028963241413035065720866603008 binary64)) (.f64 (/.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x x))) (if (<=.f64 x #s(literal -8782019273372467/2251799813685248 binary64)) (.f64 (/.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (.f64 x (*.f64 x #s(literal -1/720 binary64))))))))
(if (<=.f64 x #s(literal -5600000000000000368800510695160527274684567378396080134784128255846880772676400396457760261629840195584 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))))))) (if (<=.f64 x #s(literal -2350000000000000116992028963241413035065720866603008 binary64)) (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (if (<=.f64 x #s(literal -8782019273372467/2251799813685248 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (.f64 x (*.f64 x #s(literal -1/720 binary64))))))))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))))))))
(if (<=.f64 x #s(literal -5600000000000000368800510695160527274684567378396080134784128255846880772676400396457760261629840195584 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))))))) (if (<=.f64 x #s(literal -8782019273372467/2251799813685248 binary64)) (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -1/720 binary64)))))))
(if (<=.f64 x #s(literal -5600000000000000368800510695160527274684567378396080134784128255846880772676400396457760261629840195584 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))))))) (if (<=.f64 x #s(literal -8782019273372467/2251799813685248 binary64)) (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64))))))))
(if (<=.f64 x #s(literal -5600000000000000368800510695160527274684567378396080134784128255846880772676400396457760261629840195584 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))))))) (if (<=.f64 x #s(literal -6 binary64)) (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 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)))))))
(if (<=.f64 x #s(literal -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (/.f64 x (.f64 x x)) (if (<=.f64 x #s(literal -6 binary64)) (/.f64 (.f64 x x) (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))))
(if (<=.f64 x #s(literal -6 binary64)) (/.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))
(if (<=.f64 x #s(literal -7656119366529843/4503599627370496 binary64)) (/.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal 1/2 binary64)

soundness3.1s (32.1%)

Rules

3924×	`-lowering-.f32`
3924×	`-lowering-.f64`
3900×	`/-lowering-/.f32`
3900×	`/-lowering-/.f64`
3302×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	160	1308
1	500	1110
2	1406	1061
3	4566	1035
0	8256	1035
0	5	16
1	32	16
2	196	16
3	1908	16
0	8752	16
0	33	132
1	227	115
2	2419	103
0	9805	103
0	5	5
1	12	5
2	13	5
0	13	5
0	32	133
1	212	115
2	2488	112
0	9138	112
0	17	65
1	116	56
2	1168	56
0	8258	56
0	44	296
1	126	265
2	341	259
3	831	259
4	1613	259
5	2318	259
6	2570	259
7	2678	247
8	3106	247
9	3596	247
10	4988	247
11	6666	247
12	7249	247
13	7650	247
0	8083	247
0	86	832
1	243	742
2	780	696
3	2759	619
0	8538	619
0	101	1380
1	295	1174
2	910	1136
3	3109	1037
0	8834	1037

Stop Event

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

Compiler

Compiled 1180 to 627 computations (46.9% saved)

preprocess84.0ms (0.9%)

Compiler: Compiled 838 to 202 computations (75.9% saved)

analyze188.0ms (1.9%)

sample1.3s (13.1%)

preprocess73.0ms (0.7%)

explain123.0ms (1.3%)

eval0.0ms (0%)

prune6.0ms (0.1%)

simplify5.0ms (0.1%)

localize83.0ms (0.8%)

series4.0ms (0%)

rewrite359.0ms (3.7%)

simplify244.0ms (2.5%)

eval381.0ms (3.9%)

prune52.0ms (0.5%)

simplify14.0ms (0.1%)

localize132.0ms (1.4%)

series10.0ms (0.1%)

rewrite407.0ms (4.2%)

simplify201.0ms (2.1%)

eval88.0ms (0.9%)

prune69.0ms (0.7%)

simplify120.0ms (1.2%)

localize194.0ms (2%)

series12.0ms (0.1%)

rewrite366.0ms (3.7%)

simplify228.0ms (2.3%)

eval134.0ms (1.4%)

prune83.0ms (0.9%)

simplify150.0ms (1.5%)

localize186.0ms (1.9%)

series9.0ms (0.1%)

rewrite378.0ms (3.9%)

simplify226.0ms (2.3%)

eval182.0ms (1.9%)

prune195.0ms (2%)

regimes25.0ms (0.3%)

regimes18.0ms (0.2%)

regimes12.0ms (0.1%)

regimes9.0ms (0.1%)

regimes10.0ms (0.1%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

bsearch0.0ms (0%)

bsearch17.0ms (0.2%)

bsearch40.0ms (0.4%)

bsearch46.0ms (0.5%)

bsearch28.0ms (0.3%)

bsearch27.0ms (0.3%)

bsearch32.0ms (0.3%)

bsearch15.0ms (0.2%)

bsearch16.0ms (0.2%)

simplify18.0ms (0.2%)

soundness3.1s (32.1%)

preprocess84.0ms (0.9%)

end0.0ms (0%)

Profiling