Metrics for Hyperbolic arc-(co)tangent

analyze4.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
50%	25%	25%	0%	0%	50%	0%	4
75%	37.5%	12.5%	0%	0%	50%	0%	5
87.5%	43.7%	6.2%	0%	0%	50%	0%	6
93.8%	46.9%	3.1%	0%	0%	50%	0%	7
96.9%	48.4%	1.6%	0%	0%	50%	0%	8
98.4%	49.2%	0.8%	0%	0%	50%	0%	9
99.2%	49.6%	0.4%	0%	0%	50%	0%	10
99.6%	49.8%	0.2%	0%	0%	50%	0%	11
99.8%	49.9%	0.1%	0%	0%	50%	0%	12

Compiler

Compiled 14 to 12 computations (14.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 1.0ms (54.5% of total)

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

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

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

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

const: 0.0ms (0% of total)

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

sample3.2s (16.6%)

Results

1.7s	5925×	1	valid
1.1s	1845×	2	valid
40.0ms	486×	0	valid
0.0ms	1×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 2.3s

ival-log: 1.2s (53% of total)

backward-pass: 361.0ms (15.9% of total)

ival-div: 290.0ms (12.8% of total)

ival-mult: 149.0ms (6.6% of total)

ival-add: 119.0ms (5.3% of total)

ival-sub: 103.0ms (4.5% of total)

const: 42.0ms (1.9% of total)

Bogosity

preprocess42.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

208×	`accelerator-lowering-fma.f32`
208×	`accelerator-lowering-fma.f64`
194×	`times-frac`
156×	`div-sub`
132×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	32
1	36	30
2	59	30
3	103	30
4	182	30
5	397	30
6	857	30
7	943	30
8	959	30
0	10	10
1	16	10
2	20	10
3	25	10
4	32	10
5	42	10
6	58	10
7	79	10
8	109	10
9	159	10
10	201	10
11	297	10
12	474	10
13	654	10
0	654	10

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(* (/ 1 2) (log (/ (+ 1 x) (- 1 x))))

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

Call 2

Inputs
(* (/ 1 2) (log (/ (+ 1 x) (- 1 x))))
(* (/ 1 2) (log (/ (+ 1 (neg x)) (- 1 (neg x)))))
(neg (* (/ 1 2) (log (/ (+ 1 (neg x)) (- 1 (neg x))))))

Outputs
(* (/ 1 2) (log (/ (+ 1 x) (- 1 x))))
(* 1/2 (log (/ (+ 1 x) (- 1 x))))
(* (/ 1 2) (log (/ (+ 1 (neg x)) (- 1 (neg x)))))
(* 1/2 (log (/ (- 1 x) (+ 1 x))))
(neg (* (/ 1 2) (log (/ (+ 1 (neg x)) (- 1 (neg x))))))
(* (log (/ (- 1 x) (+ 1 x))) -1/2)

explain500.0ms (2.6%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
254	-	-	`(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
0	-	-	`x`
0	-	-	`(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))`
0	-	-	`(+.f64 #s(literal 1 binary64) x)`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
0	-	-	`(-.f64 #s(literal 1 binary64) x)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`

Results

332.0ms	394×	1	valid
94.0ms	108×	2	valid
2.0ms	10×	0	valid

Compiler

Compiled 95 to 75 computations (21.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 357.0ms

ival-log: 203.0ms (56.9% of total)

ival-div: 48.0ms (13.4% of total)

backward-pass: 46.0ms (12.9% of total)

ival-add: 24.0ms (6.7% of total)

ival-sub: 20.0ms (5.6% of total)

ival-mult: 8.0ms (2.2% of total)

const: 7.0ms (2% of total)

eval0.0ms (0%)

Compiler: Compiled 11 to 9 computations (18.2% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.6%	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))

Compiler

Compiled 11 to 9 computations (18.2% saved)

localize273.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
✓	accuracy	7.7%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))

Rules

208×	`accelerator-lowering-fma.f32`
208×	`accelerator-lowering-fma.f64`
132×	`-lowering-.f32`
132×	`-lowering-.f64`
106×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	34
1	14	34
2	18	34
3	23	34
4	30	34
5	40	34
6	56	34
7	77	34
8	107	34
9	157	34
10	197	34
11	293	34
12	471	34
13	650	34
0	650	34

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* 1/2 (log (/ (+ 1 x) (- 1 x))))
1/2
(log (/ (+ 1 x) (- 1 x)))
(/ (+ 1 x) (- 1 x))
(+ 1 x)
1
x
(- 1 x)

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

Results

176.0ms	197×	1	valid
43.0ms	54×	2	valid
1.0ms	5×	0	valid

Compiler

Compiled 36 to 27 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 193.0ms

ival-log: 82.0ms (42.6% of total)

ival-add: 33.0ms (17.1% of total)

backward-pass: 28.0ms (14.5% of total)

ival-mult: 25.0ms (13% of total)

ival-div: 11.0ms (5.7% of total)

ival-sub: 10.0ms (5.2% of total)

const: 3.0ms (1.6% of total)

series9.0ms (0%)

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (log (/ (+ 1 x) (- 1 x)))>
#<alt (/ (+ 1 x) (- 1 x))>
#<alt (* 1/2 (log (/ (+ 1 x) (- 1 x))))>
#<alt (+ 1 x)>

Outputs
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))>
#<alt (log -1)>
#<alt (+ (log -1) (* 2 (/ 1 x)))>
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))>
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))>
#<alt (log -1)>
#<alt (+ (log -1) (* 2 (/ 1 x)))>
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))>
#<alt (+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))>
#<alt 1>
#<alt (+ 1 (* 2 x))>
#<alt (+ 1 (* x (+ 2 (* 2 x))))>
#<alt (+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)>
#<alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* 1/2 (log -1))>
#<alt (+ (* 1/2 (log -1)) (/ 1 x))>
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))>
#<alt (* 1/2 (log -1))>
#<alt (+ (* 1/2 (log -1)) (/ 1 x))>
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))>
#<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)))>

Calls

12 calls:

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

rewrite577.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

2620×	`accelerator-lowering-fma.f32`
2620×	`accelerator-lowering-fma.f64`
2338×	`-lowering-.f32`
2338×	`-lowering-.f64`
1694×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	41	28
2	301	28
3	4075	28
0	9499	21

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 798

Calls

Call 1

Inputs
(log (/ (+ 1 x) (- 1 x)))
(/ (+ 1 x) (- 1 x))
(* 1/2 (log (/ (+ 1 x) (- 1 x))))
(+ 1 x)

Outputs
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(+.f64 (log1p.f64 x) (-.f64 #s(literal 0 binary64) (log1p.f64 x)))
(+.f64 (log1p.f64 x) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(+.f64 (log1p.f64 (.f64 x (.f64 x x))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) x))))
(+.f64 (log1p.f64 (.f64 x (.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))))))
(+.f64 (log1p.f64 (.f64 x (.f64 x x))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(+.f64 (log1p.f64 (neg.f64 (.f64 x x))) (neg.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x))))
(+.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #s(literal 0 binary64))
(+.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (log.f64 (+.f64 x #s(literal -1 binary64)))))
(+.f64 (log1p.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(+.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) (log1p.f64 x))
(+.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (.f64 x (.f64 x x)))) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))))
(+.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (.f64 x (.f64 x x)))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))))
(+.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (neg.f64 (.f64 x x)))) (.f64 #s(literal 2 binary64) (log1p.f64 x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 0 binary64) (log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(+.f64 (-.f64 #s(literal 0 binary64) (log.f64 (+.f64 x #s(literal -1 binary64)))) (log.f64 (+.f64 x #s(literal -1 binary64))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(+.f64 (log.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))))
(+.f64 (log.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))))
(+.f64 (log.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))))
(+.f64 (log.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal 1 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x))))
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(*.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64)))
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(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
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(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal -1 binary64)))
(.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
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(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 x #s(literal -1 binary64)))
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(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))))
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(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))

simplify640.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

11698×	`accelerator-lowering-fma.f32`
11698×	`accelerator-lowering-fma.f64`
3498×	`-lowering-.f32`
3498×	`-lowering-.f64`
2550×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	390
1	322	376
2	810	374
3	2103	370
4	3891	370
5	6105	370
0	8208	346

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
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)))

Outputs
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 2/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 2/5 binary64)))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/5 binary64) (.f64 (*.f64 x x) #s(literal 2/7 binary64)))))))))
(log -1)
(log.f64 #s(literal -1 binary64))
(+ (log -1) (* 2 (/ 1 x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) x))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x x)))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(+.f64 (/.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x x))) (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2/5 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))))))
(log -1)
(log.f64 #s(literal -1 binary64))
(+ (log -1) (* 2 (/ 1 x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) x))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x x)))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 2/5 binary64) (.f64 x x))) (.f64 x x))) x))
1
#s(literal 1 binary64)
(+ 1 (* 2 x))
(+.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* 2 x))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal 1 binary64))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -2 binary64)) x))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -2 binary64)) x))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))))
(* 1/2 (log -1))
(*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))
(+ (* 1/2 (log -1)) (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x))))))))
(* 1/2 (log -1))
(*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))
(+ (* 1/2 (log -1)) (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(+.f64 (.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))) (*.f64 x x))) x))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))

eval269.0ms (1.4%)

Compiler: Compiled 22789 to 14861 computations (34.8% saved)

prune577.0ms (3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	841	5	846
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	841	6	847

Accuracy

100.0%

Counts

847 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))))
▶	99.8%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))))
▶	99.5%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
▶	100.0%	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (neg.f64 (*.f64 x x)))))
✓	7.6%	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
▶	99.3%	x

Compiler

Compiled 137 to 93 computations (32.1% saved)

localize2.1s (11%)

Algorithm

1×	egg-herbie

Localize:

Found 32 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))))
✓	cost-diff	0	(.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))))
✓	cost-diff	0	(*.f64 x #s(literal 1/3 binary64))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal 1/3 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(log1p.f64 x)
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) (log1p.f64 x))
✓	cost-diff	64	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (neg.f64 (*.f64 x x)))))
✓	accuracy	100.0%	(.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))))
✓	accuracy	100.0%	(.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))))
✓	accuracy	100.0%	(.f64 (.f64 x x) #s(literal 1/7 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))
✓	accuracy	100.0%	(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64))))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))))
✓	accuracy	100.0%	(.f64 (.f64 x x) #s(literal 1/5 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
✓	accuracy	100.0%	(.f64 x (.f64 x #s(literal 1/3 binary64)))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/3 binary64))
✓	accuracy	100.0%	(neg.f64 (*.f64 x x))
✓	accuracy	100.0%	(log1p.f64 (neg.f64 (*.f64 x x)))
✓	accuracy	100.0%	(log1p.f64 x)
✓	accuracy	100.0%	(-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (neg.f64 (.f64 x x))))

Rules

19594×	`accelerator-lowering-fma.f32`
19594×	`accelerator-lowering-fma.f64`
4058×	`-lowering-.f32`
4058×	`-lowering-.f64`
2746×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	241
1	105	241
2	252	235
3	634	233
4	1094	233
5	1303	233
6	1643	233
7	2376	233
8	3209	233
9	4795	233
10	6524	233
11	7361	233
12	7627	233
13	7627	233
0	8075	199

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* 1/2 (- (* 2 (log (+ 1 x))) (log (+ 1 (neg (* x x))))))
1/2
(- (* 2 (log (+ 1 x))) (log (+ 1 (neg (* x x)))))
(* 2 (log (+ 1 x)))
2
(log (+ 1 x))
x
(log (+ 1 (neg (* x x))))
(neg (* x x))
(* x x)
(* x (+ 1 (* x (* x 1/3))))
(+ 1 (* x (* x 1/3)))
1
(* x (* x 1/3))
(* x 1/3)
1/3
(* x (+ 1 (* (* x x) (+ 1/3 (* (* x x) 1/5)))))
(+ 1 (* (* x x) (+ 1/3 (* (* x x) 1/5))))
(* (* x x) (+ 1/3 (* (* x x) 1/5)))
(+ 1/3 (* (* x x) 1/5))
(* (* x x) 1/5)
1/5
(* x (+ 1 (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))))))
(+ 1 (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))))
(* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))))
(* x (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))
(+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))
(* (* x x) (+ 1/5 (* (* x x) 1/7)))
(+ 1/5 (* (* x x) 1/7))
(* (* x x) 1/7)
1/7

Outputs
(* 1/2 (- (* 2 (log (+ 1 x))) (log (+ 1 (neg (* x x))))))
(-.f64 (log1p.f64 x) (.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))
1/2
#s(literal 1/2 binary64)
(- (* 2 (log (+ 1 x))) (log (+ 1 (neg (* x x)))))
(-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))
(* 2 (log (+ 1 x)))
(*.f64 #s(literal 2 binary64) (log1p.f64 x))
2
#s(literal 2 binary64)
(log (+ 1 x))
(log1p.f64 x)
x
(log (+ 1 (neg (* x x))))
(log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(neg (* x x))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* x x)
(*.f64 x x)
(* x (+ 1 (* x (* x 1/3))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64))))
(+ 1 (* x (* x 1/3)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64)))
1
#s(literal 1 binary64)
(* x (* x 1/3))
(.f64 (.f64 x x) #s(literal 1/3 binary64))
(* x 1/3)
(*.f64 x #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
(* x (+ 1 (* (* x x) (+ 1/3 (* (* x x) 1/5)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64)))))))
(+ 1 (* (* x x) (+ 1/3 (* (* x x) 1/5))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64))))))
(* (* x x) (+ 1/3 (* (* x x) 1/5)))
(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64)))))
(+ 1/3 (* (* x x) 1/5))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64))))
(* (* x x) 1/5)
(.f64 x (.f64 x #s(literal 1/5 binary64)))
1/5
#s(literal 1/5 binary64)
(* x (+ 1 (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))))
(+ 1 (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))))
(* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))))
(* x (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))
(+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))
(* (* x x) (+ 1/5 (* (* x x) 1/7)))
(.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))
(+ 1/5 (* (* x x) 1/7))
(+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))
(* (* x x) 1/7)
(.f64 (.f64 x x) #s(literal 1/7 binary64))
1/7
#s(literal 1/7 binary64)

Results

878.0ms	240×	5	exit
22.0ms	13×	1	valid
2.0ms	3×	0	valid

Compiler

Compiled 247 to 127 computations (48.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 860.0ms

backward-pass: 265.0ms (30.8% of total)

ival-mult: 215.0ms (25% of total)

<compiled-spec>: 153.0ms (17.8% of total)

ival-log: 127.0ms (14.8% of total)

ival-add: 79.0ms (9.2% of total)

const: 12.0ms (1.4% of total)

ival-sub: 7.0ms (0.8% of total)

ival-neg: 4.0ms (0.5% of total)

series36.0ms (0.2%)

Counts

22 → 264

Calls

Call 1

Inputs
#<alt (- (* 2 (log (+ 1 x))) (log (+ 1 (neg (* x x)))))>
#<alt (log (+ 1 x))>
#<alt (log (+ 1 (neg (* x x))))>
#<alt (neg (* x x))>
#<alt (* x 1/3)>
#<alt (* x (+ 1 (* x (* x 1/3))))>
#<alt (* x (* x 1/3))>
#<alt (+ 1 (* x (* x 1/3)))>
#<alt (* (* x x) 1/5)>
#<alt (* x (+ 1 (* (* x x) (+ 1/3 (* (* x x) 1/5)))))>
#<alt (* (* x x) (+ 1/3 (* (* x x) 1/5)))>
#<alt (+ 1/3 (* (* x x) 1/5))>
#<alt (* (* x x) 1/7)>
#<alt (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))))>
#<alt (* x (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))>
#<alt (* (* x x) (+ 1/5 (* (* x x) 1/7)))>
#<alt (* 1/2 (- (* 2 (log (+ 1 x))) (log (+ 1 (neg (* x x))))))>
#<alt (* 2 (log (+ 1 x)))>
#<alt (* x x)>
#<alt (+ 1 (* (* x x) (+ 1/3 (* (* x x) 1/5))))>
#<alt (* x (+ 1 (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))))))>
#<alt (+ 1 (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))))>

Outputs
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))>
#<alt (* -1 (log -1))>
#<alt (- (* 2 (/ 1 x)) (log -1))>
#<alt (- (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))) (log -1))>
#<alt (- (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))) (log -1))>
#<alt (- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log -1) (* -2 (log (/ -1 x)))))>
#<alt (- (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* 2 (/ 1 x))) (+ (log -1) (* -2 (log (/ -1 x)))))>
#<alt (- (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (+ (log -1) (* -2 (log (/ -1 x)))))>
#<alt (- (+ (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)) (* 2 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -2 (log (/ -1 x)))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* -1/2 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -1/3 (pow x 2)) 1/2)) 1))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1/4 (pow x 2)) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -2 (log (/ 1 x))))>
#<alt (- (+ (log -1) (* -2 (log (/ 1 x)))) (/ 1 (pow x 2)))>
#<alt (+ (log -1) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -1) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))))) (/ 1 (pow x 2)))>
#<alt (+ (log -1) (* -2 (log (/ -1 x))))>
#<alt (- (+ (log -1) (* -2 (log (/ -1 x)))) (/ 1 (pow x 2)))>
#<alt (+ (log -1) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -1) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))))) (/ 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 (* -1 (pow x 2))>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt 1>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* 1/5 (pow x 5))>
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/5 (pow x 5))>
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* 1/5 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/5 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/5 (pow x 2)))>
#<alt (+ 1/3 (* 1/5 (pow x 2)))>
#<alt (+ 1/3 (* 1/5 (pow x 2)))>
#<alt (* 1/5 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/5 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* 1/7 (pow x 5))>
#<alt (* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/7 (pow x 5))>
#<alt (* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))>
#<alt (* 1/5 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* 1/7 (pow x 4))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/7 (pow x 4))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* -1/2 (log -1))>
#<alt (+ (* -1/2 (log -1)) (/ 1 x))>
#<alt (+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
#<alt (+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))>
#<alt (* 1/2 (- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log -1) (* -2 (log (/ -1 x))))))>
#<alt (+ (* 1/2 (- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log -1) (* -2 (log (/ -1 x)))))) (/ 1 x))>
#<alt (+ (* 1/2 (- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log -1) (* -2 (log (/ -1 x)))))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log -1) (* -2 (log (/ -1 x)))))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* -1 x)))>
#<alt (* x (+ 2 (* x (- (* 2/3 x) 1))))>
#<alt (* x (+ 2 (* x (- (* x (+ 2/3 (* -1/2 x))) 1))))>
#<alt (* -2 (log (/ 1 x)))>
#<alt (+ (* -2 (log (/ 1 x))) (* 2 (/ 1 x)))>
#<alt (- (+ (* -2 (log (/ 1 x))) (* 2 (/ 1 x))) (/ 1 (pow x 2)))>
#<alt (- (+ (* -2 (log (/ 1 x))) (+ (* 2 (/ 1 x)) (* 2/3 (/ 1 (pow x 3))))) (/ 1 (pow x 2)))>
#<alt (* 2 (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* 2 (/ 1 x)))>
#<alt (+ (* -1 (/ (- (/ 1 x) 2) x)) (* 2 (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (* 2/3 (/ 1 x)) 1) x)) 2) x)) (* 2 (+ (log -1) (* -1 (log (/ -1 x))))))>
#<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>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))>
#<alt (* 1/5 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/5 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))>
#<alt 1>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>

Calls

66 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))))
2.0ms	x	@	-inf	(* (* x x) 1/5)
1.0ms	x	@	inf	(- (* 2 (log (+ 1 x))) (log (+ 1 (neg (* x x)))))
1.0ms	x	@	0	(- (* 2 (log (+ 1 x))) (log (+ 1 (neg (* x x)))))
0.0ms	x	@	-inf	(- (* 2 (log (+ 1 x))) (log (+ 1 (neg (* x x)))))

rewrite549.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

5340×	`accelerator-lowering-fma.f32`
5340×	`accelerator-lowering-fma.f64`
5144×	`-lowering-.f32`
5144×	`-lowering-.f64`
3874×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	214
1	206	208
2	1786	208
0	8269	178

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 526

Calls

Call 1

Inputs
(- (* 2 (log (+ 1 x))) (log (+ 1 (neg (* x x)))))
(log (+ 1 x))
(log (+ 1 (neg (* x x))))
(neg (* x x))
(* x 1/3)
(* x (+ 1 (* x (* x 1/3))))
(* x (* x 1/3))
(+ 1 (* x (* x 1/3)))
(* (* x x) 1/5)
(* x (+ 1 (* (* x x) (+ 1/3 (* (* x x) 1/5)))))
(* (* x x) (+ 1/3 (* (* x x) 1/5)))
(+ 1/3 (* (* x x) 1/5))
(* (* x x) 1/7)
(* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))))
(* x (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))
(* (* x x) (+ 1/5 (* (* x x) 1/7)))
(* 1/2 (- (* 2 (log (+ 1 x))) (log (+ 1 (neg (* x x))))))
(* 2 (log (+ 1 x)))
(* x x)
(+ 1 (* (* x x) (+ 1/3 (* (* x x) 1/5))))
(* x (+ 1 (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))))))
(+ 1 (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))))

Outputs
(+.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (-.f64 #s(literal 0 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))
(+.f64 (-.f64 #s(literal 0 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 #s(literal 2 binary64) (log1p.f64 x)))
(-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 2 binary64)) (.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))))) (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 2 binary64)) (.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))) (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (-.f64 #s(literal 0 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))) (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (-.f64 #s(literal 0 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))))
(fma.f64 #s(literal 2 binary64) (log1p.f64 x) (-.f64 #s(literal 0 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(fma.f64 (log1p.f64 x) #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
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simplify816.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

10030×	`accelerator-lowering-fma.f32`
10030×	`accelerator-lowering-fma.f64`
3874×	`+-lowering-+.f64`
3874×	`+-lowering-+.f32`
3364×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	279	2541
1	875	2467
2	2282	2427
3	7201	2427
0	8310	2286

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(* -1 (log -1))
(- (* 2 (/ 1 x)) (log -1))
(- (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))) (log -1))
(- (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))) (log -1))
(- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log -1) (* -2 (log (/ -1 x)))))
(- (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* 2 (/ 1 x))) (+ (log -1) (* -2 (log (/ -1 x)))))
(- (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (+ (log -1) (* -2 (log (/ -1 x)))))
(- (+ (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)) (* 2 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -2 (log (/ -1 x)))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
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x
(* x (+ 1 (* 1/3 (pow x 2))))
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(* 1/3 (pow x 2))
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1
(+ 1 (* 1/3 (pow x 2)))
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x
(* x (+ 1 (* 1/3 (pow x 2))))
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(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
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(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
1/3
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x
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(pow x 2)
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x
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(* 1/7 (pow x 7))
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(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
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1
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(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))

Outputs
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
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(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))))
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(- (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (+ (log -1) (* -2 (log (/ -1 x)))))
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(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
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(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64)))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64))))))))))
(* -1/2 (log -1))
(*.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64))
(+ (* -1/2 (log -1)) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))) (/.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 5 binary64)))))
(* 1/2 (- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log -1) (* -2 (log (/ -1 x))))))
(.f64 (+.f64 (.f64 #s(literal 2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64))
(+ (* 1/2 (- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log -1) (* -2 (log (/ -1 x)))))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (+.f64 (.f64 #s(literal 2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log -1) (* -2 (log (/ -1 x)))))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (.f64 (+.f64 (.f64 #s(literal 2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log -1) (* -2 (log (/ -1 x)))))))
(+.f64 (.f64 (+.f64 (.f64 #s(literal 2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (-.f64 (.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/5 binary64) (.f64 x x))) (*.f64 x x))) x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* -1 x)))
(*.f64 x (-.f64 #s(literal 2 binary64) x))
(* x (+ 2 (* x (- (* 2/3 x) 1))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 2/3 binary64))))))
(* x (+ 2 (* x (- (* x (+ 2/3 (* -1/2 x))) 1))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x #s(literal -1/2 binary64))))))))
(* -2 (log (/ 1 x)))
(*.f64 #s(literal 2 binary64) (log.f64 x))
(+ (* -2 (log (/ 1 x))) (* 2 (/ 1 x)))
(+.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(- (+ (* -2 (log (/ 1 x))) (* 2 (/ 1 x))) (/ 1 (pow x 2)))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) x)) x))
(- (+ (* -2 (log (/ 1 x))) (+ (* 2 (/ 1 x)) (* 2/3 (/ 1 (pow x 3))))) (/ 1 (pow x 2)))
(+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2/3 binary64) x)) (.f64 x x))))
(* 2 (+ (log -1) (* -1 (log (/ -1 x)))))
(*.f64 #s(literal 2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* 2 (/ 1 x)))
(+.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(+ (* -1 (/ (- (/ 1 x) 2) x)) (* 2 (+ (log -1) (* -1 (log (/ -1 x))))))
(+.f64 (*.f64 #s(literal 2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) x)) x))
(+ (* -1 (/ (- (* -1 (/ (- (* 2/3 (/ 1 x)) 1) x)) 2) x)) (* 2 (+ (log -1) (* -1 (log (/ -1 x))))))
(-.f64 (*.f64 #s(literal 2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2/3 binary64) x)) 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
#s(literal 1 binary64)
(+ 1 (* 1/3 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64))))))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64))))))
(* 1/5 (pow x 4))
(.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/5 binary64)))))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64)))))
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64))))))
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64))))))
(* 1/5 (pow x 4))
(.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/5 binary64)))))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64)))))
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64))))))
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64)))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64))))))))))
(* 1/7 (pow x 7))
(*.f64 #s(literal 1/7 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 (/.f64 #s(literal 1/5 binary64) x) x)) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f64 (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1/5 binary64) x) x) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (.f64 x x))))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (/.f64 (/.f64 #s(literal 1/5 binary64) x) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* 1/7 (pow x 7))
(*.f64 #s(literal 1/7 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 (/.f64 #s(literal 1/5 binary64) x) x)) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(.f64 (-.f64 #s(literal -1/7 binary64) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) x) x) #s(literal 1/5 binary64)) (.f64 x x))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 7 binary64))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 (/.f64 #s(literal 1/5 binary64) x) x)) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/3 binary64)) (.f64 (.f64 x x) (.f64 x x)))))
1
#s(literal 1 binary64)
(+ 1 (* 1/3 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64))))))
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))))
(* 1/7 (pow x 6))
(*.f64 #s(literal 1/7 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/7 binary64) (/.f64 (/.f64 #s(literal 1/5 binary64) x) x)))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1/5 binary64) x) x) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(+.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1/5 binary64) x) x) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (.f64 x x)))))) #s(literal 1 binary64))
(* 1/7 (pow x 6))
(*.f64 #s(literal 1/7 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/7 binary64) (/.f64 (/.f64 #s(literal 1/5 binary64) x) x)))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1/5 binary64) x) x) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(+.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1/5 binary64) x) x) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (.f64 x x)))))) #s(literal 1 binary64))

eval317.0ms (1.6%)

Compiler: Compiled 27201 to 15679 computations (42.4% saved)

prune115.0ms (0.6%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	875	3	878
Fresh	0	0	0
Picked	1	4	5
Done	0	1	1
Total	876	8	884

Accuracy

100.0%

Counts

884 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))))) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))))))
▶	99.8%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))) (.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))) #s(literal 1 binary64)))))
▶	99.5%	(+.f64 (.f64 (.f64 x x) (*.f64 x #s(literal 1/3 binary64))) x)
✓	99.7%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))))
✓	99.8%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))))
✓	100.0%	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (neg.f64 (*.f64 x x)))))
✓	7.6%	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
✓	99.3%	x

Compiler

Compiled 232 to 150 computations (35.3% saved)

localize1.7s (8.7%)

Algorithm

1×	egg-herbie

Localize:

Found 24 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64))))))))))
✓	cost-diff	0	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))))) x)
✓	cost-diff	0	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))))) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))))))
✓	cost-diff	0	(.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))) (.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))) (.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))))))
✓	cost-diff	0	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))) (.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64))))))))))) x)
✓	cost-diff	0	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))) (.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))) #s(literal 1 binary64)))))
✓	cost-diff	0	(*.f64 x #s(literal 1/3 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (*.f64 x #s(literal 1/3 binary64)))
✓	cost-diff	0	(+.f64 (.f64 (.f64 x x) (*.f64 x #s(literal 1/3 binary64))) x)
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/7 binary64)))
✓	accuracy	99.7%	(.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))
✓	accuracy	99.5%	(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64)))))))
✓	accuracy	99.4%	(*.f64 x #s(literal 1/7 binary64))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/7 binary64)))
✓	accuracy	99.7%	(.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))
✓	accuracy	99.5%	(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64)))))))
✓	accuracy	99.4%	(*.f64 x #s(literal 1/7 binary64))
✓	accuracy	100.0%	(+.f64 (.f64 (.f64 x x) (*.f64 x #s(literal 1/3 binary64))) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 (.f64 x x) (*.f64 x #s(literal 1/3 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/3 binary64))

Rules

14444×	`accelerator-lowering-fma.f32`
14444×	`accelerator-lowering-fma.f64`
3878×	`--lowering--.f32`
3878×	`--lowering--.f64`
3756×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	663
1	96	663
2	378	510
3	2279	499
4	4762	499
0	8330	435

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (* x x) (* x 1/3)) x)
(* (* x x) (* x 1/3))
(* x x)
x
(* x 1/3)
1/3
(/ (* (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))) (* (* x x) (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))))) x) (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) 1))))
(* (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))) (* (* x x) (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))))) x)
(+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))) (* (* x x) (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))))
1
(* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))) (* (* x x) (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))))
(* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))
(* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))
(+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))
(* (* x x) (+ 1/5 (* x (* x 1/7))))
(+ 1/5 (* x (* x 1/7)))
1/5
(* x (* x 1/7))
(* x 1/7)
1/7
(* (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))) (* (* x x) (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))
(* (* x x) (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))
(+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) 1)))
(* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) 1))
(- (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) 1)
(/ (* (- 1 (* (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))) (* (* x x) (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) x) (- 1 (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))))
(* (- 1 (* (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))) (* (* x x) (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) x)
(- 1 (* (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))) (* (* x x) (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))))
(- 1 (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))

Outputs
(+ (* (* x x) (* x 1/3)) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64))))
(* (* x x) (* x 1/3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(* x x)
(*.f64 x x)
x
(* x 1/3)
(*.f64 x #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
(/ (* (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))) (* (* x x) (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))))) x) (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) 1))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))) (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))))))))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) #s(literal -1 binary64))))))
(* (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))) (* (* x x) (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))))) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))) (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))))))
(+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))) (* (* x x) (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))) (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))))))))
1
#s(literal 1 binary64)
(* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))) (* (* x x) (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))))
(.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))) (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))))))
(* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))
(* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64)))))))
(+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))
(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))
(* (* x x) (+ 1/5 (* x (* x 1/7))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))
(+ 1/5 (* x (* x 1/7)))
(+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))
1/5
#s(literal 1/5 binary64)
(* x (* x 1/7))
(.f64 x (.f64 x #s(literal 1/7 binary64)))
(* x 1/7)
(*.f64 x #s(literal 1/7 binary64))
1/7
#s(literal 1/7 binary64)
(* (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))) (* (* x x) (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))
(.f64 x (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))) (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64))))))))))
(* (* x x) (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))
(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64))))))))
(+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) 1)))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64))))))) #s(literal -1 binary64)))))
(* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) 1))
(.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64))))))) #s(literal -1 binary64))))
(- (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) 1)
(+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) #s(literal -1 binary64))
(/ (* (- 1 (* (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))) (* (* x x) (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) x) (- 1 (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))) (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))))))) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))))))
(* (- 1 (* (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))) (* (* x x) (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) x)
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))) (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))))))))
(- 1 (* (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))) (* (* x x) (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))))
(-.f64 #s(literal 1 binary64) (.f64 x (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))) (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))))
(- 1 (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))))

Results

633.0ms

256×

valid

Compiler

Compiled 803 to 478 computations (40.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 554.0ms

ival-mult: 408.0ms (73.6% of total)

ival-add: 117.0ms (21.1% of total)

const: 16.0ms (2.9% of total)

ival-sub: 11.0ms (2% of total)

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

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

series25.0ms (0.1%)

Counts

16 → 192

Calls

Call 1

Inputs
#<alt (* x 1/3)>
#<alt (* (* x x) (* x 1/3))>
#<alt (* x x)>
#<alt (+ (* (* x x) (* x 1/3)) x)>
#<alt (* x 1/7)>
#<alt (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))>
#<alt (* (* x x) (+ 1/5 (* x (* x 1/7))))>
#<alt (* x (* x 1/7))>
#<alt (/ (* (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))) (* (* x x) (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))))) x) (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) 1))))>
#<alt (* (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))) (* (* x x) (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))))) x)>
#<alt (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))) (* (* x x) (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))))>
#<alt (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))) (* (* x x) (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))))>
#<alt (/ (* (- 1 (* (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))) (* (* x x) (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) x) (- 1 (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))))>
#<alt (* (- 1 (* (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))) (* (* x x) (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) x)>
#<alt (- 1 (* (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))) (* (* x x) (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))))>
#<alt (* (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))) (* (* x x) (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))>

Outputs
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<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 x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* 1/7 (pow x 5))>
#<alt (* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/7 (pow x 5))>
#<alt (* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))>
#<alt (* 1/5 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* 1/7 (pow x 4))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/7 (pow x 4))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/27 (pow x 6))))>
#<alt (* x (+ 1 (* (pow x 6) (+ 1/27 (* 1/15 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 6) (+ 1/27 (* (pow x 2) (+ 1/15 (* 46/525 (pow x 2))))))))>
#<alt (* 1/343 (pow x 19))>
#<alt (* (pow x 19) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))>
#<alt (* (pow x 19) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2))))))>
#<alt (* (pow x 19) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6)))))))>
#<alt (* 1/343 (pow x 19))>
#<alt (* (pow x 19) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 19) (- (* -1 (/ (+ 3/245 (* 46/1225 (/ 1 (pow x 2)))) (pow x 2))) 1/343)))>
#<alt (* -1 (* (pow x 19) (- (* -1 (/ (+ 46/1225 (* 57/875 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))))>
#<alt 1>
#<alt (+ 1 (* 1/27 (pow x 6)))>
#<alt (+ 1 (* (pow x 6) (+ 1/27 (* 1/15 (pow x 2)))))>
#<alt (+ 1 (* (pow x 6) (+ 1/27 (* (pow x 2) (+ 1/15 (* 46/525 (pow x 2)))))))>
#<alt (* 1/343 (pow x 18))>
#<alt (* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))>
#<alt (* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2))))))>
#<alt (* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6)))))))>
#<alt (* 1/343 (pow x 18))>
#<alt (* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))>
#<alt (* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2))))))>
#<alt (* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6)))))))>
#<alt (* 1/27 (pow x 6))>
#<alt (* (pow x 6) (+ 1/27 (* 1/15 (pow x 2))))>
#<alt (* (pow x 6) (+ 1/27 (* (pow x 2) (+ 1/15 (* 46/525 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/27 (* (pow x 2) (+ 1/15 (* (pow x 2) (+ 46/525 (* 57/875 (pow x 2))))))))>
#<alt (* 1/343 (pow x 18))>
#<alt (* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))>
#<alt (* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2))))))>
#<alt (* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6)))))))>
#<alt (* 1/343 (pow x 18))>
#<alt (* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))>
#<alt (* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2))))))>
#<alt (* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6)))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))>
#<alt x>
#<alt (* x (+ 1 (* -1/9 (pow x 4))))>
#<alt (* x (+ 1 (* (pow x 4) (- (* -2/15 (pow x 2)) 1/9))))>
#<alt (* x (+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -71/525 (pow x 2)) 2/15)) 1/9))))>
#<alt (* -1/49 (pow x 13))>
#<alt (* -1 (* (pow x 13) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))>
#<alt (* (pow x 13) (- (* -1 (/ (+ 2/35 (* 71/525 (/ 1 (pow x 2)))) (pow x 2))) 1/49))>
#<alt (* (pow x 13) (- (* -1 (/ (+ 71/525 (* 2/15 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))>
#<alt (* -1/49 (pow x 13))>
#<alt (* -1 (* (pow x 13) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 13) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* (pow x 13) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6))))))))>
#<alt 1>
#<alt (+ 1 (* -1/9 (pow x 4)))>
#<alt (+ 1 (* (pow x 4) (- (* -2/15 (pow x 2)) 1/9)))>
#<alt (+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -71/525 (pow x 2)) 2/15)) 1/9)))>
#<alt (* -1/49 (pow x 12))>
#<alt (* -1 (* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 2/35 (* 71/525 (/ 1 (pow x 2)))) (pow x 2))) 1/49))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 71/525 (* 2/15 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))>
#<alt (* -1/49 (pow x 12))>
#<alt (* -1 (* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 2/35 (* 71/525 (/ 1 (pow x 2)))) (pow x 2))) 1/49))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 71/525 (* 2/15 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))>
#<alt (* 1/9 (pow x 4))>
#<alt (* (pow x 4) (+ 1/9 (* 2/15 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/9 (* (pow x 2) (+ 2/15 (* 71/525 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/9 (* (pow x 2) (+ 2/15 (* (pow x 2) (+ 71/525 (* 2/35 (pow x 2))))))))>
#<alt (* 1/49 (pow x 12))>
#<alt (* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6)))))))>
#<alt (* 1/49 (pow x 12))>
#<alt (* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6)))))))>

Calls

48 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/ (* (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))) (* (* x x) (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))))) x) (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) 1))))
1.0ms	x	@	0	(* (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))) (* (* x x) (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))))) x)
1.0ms	x	@	0	(* (* x x) (* x 1/3))
0.0ms	x	@	0	(/ (* (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))) (* (* x x) (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))))) x) (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) 1))))
0.0ms	x	@	inf	(/ (* (- 1 (* (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))) (* (* x x) (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) x) (- 1 (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))))

rewrite861.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

7376×	`accelerator-lowering-fma.f32`
7376×	`accelerator-lowering-fma.f64`
3972×	`-lowering-.f32`
3972×	`-lowering-.f64`
3918×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	526
1	202	304
2	1897	220
0	8345	196

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 599

Calls

Call 1

Inputs
(* x 1/3)
(* (* x x) (* x 1/3))
(* x x)
(+ (* (* x x) (* x 1/3)) x)
(* x 1/7)
(* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))
(* (* x x) (+ 1/5 (* x (* x 1/7))))
(* x (* x 1/7))
(/ (* (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))) (* (* x x) (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))))) x) (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) 1))))
(* (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))) (* (* x x) (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))))) x)
(+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))) (* (* x x) (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))))
(* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))) (* (* x x) (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))))
(/ (* (- 1 (* (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))) (* (* x x) (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) x) (- 1 (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))))
(* (- 1 (* (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))) (* (* x x) (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) x)
(- 1 (* (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))) (* (* x x) (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))))
(* (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))) (* (* x x) (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))

Outputs
(*.f64 x #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) x)
(.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64))))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x #s(literal 1/3 binary64)) (*.f64 x x))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/3 binary64)))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(.f64 (.f64 x (*.f64 x #s(literal 1/3 binary64))) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(+.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))))
(+.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))) x)
(+.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))) x))))
(-.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) x)) (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))) x)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))))) (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (-.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))))))
(fma.f64 x #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64))) x)
(fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)) x)
(fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) x)
(fma.f64 (.f64 x #s(literal 1/3 binary64)) (.f64 x x) x)
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/3 binary64)) x)
(fma.f64 #s(literal 1 binary64) x (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/3 binary64) x)
(fma.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))) x))))
(fma.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) x x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/27 binary64))) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)))) (-.f64 (.f64 x x) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/27 binary64))) (.f64 x (.f64 x x))) (+.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x (-.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/27 binary64))) (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))))))
(/.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x x)) (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) x))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/27 binary64))) (.f64 x (.f64 x x)))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x (-.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/27 binary64))) (.f64 x (.f64 x x)))) (neg.f64 (+.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))))))))
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(.f64 (pow.f64 (.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))) x) #s(literal 3/2 binary64)) (pow.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))) #s(literal 3/2 binary64)))
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(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))) #s(literal -1 binary64))) (.f64 (/.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))) #s(literal -1 binary64)))))) (.f64 (/.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))))))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))))
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(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))) (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))))) (.f64 (.f64 x #s(literal 1/3 binary64)) (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))))) (-.f64 (.f64 (.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))) (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))))) (.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))) (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))))) (.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))))) (.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))) (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))) (.f64 x #s(literal 1/3 binary64))) (.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))) (.f64 x #s(literal 1/3 binary64)))) (.f64 (.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))) (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))) (.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))) (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))))) (-.f64 (.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))) (.f64 x #s(literal 1/3 binary64))) (.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))) (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))))) (.f64 (.f64 x #s(literal 1/3 binary64)) (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))))) (.f64 (.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))) (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))))) (.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))) (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))))))) (-.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))))) (.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))) (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))))))
(pow.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))) #s(literal 2 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))) #s(literal 2 binary64))
(.f64 x (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))))
(.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))
(.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))
(.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))) (.f64 x (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))))
(.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))) (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))
(.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))))
(.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))
(.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))
(.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))) #s(literal 1 binary64))
(.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))
(.f64 (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))) x)
(.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))
(.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))) (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))))
(.f64 (.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))) (.f64 x (.f64 x x))) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))))
(.f64 (.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))) x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))))
(.f64 (.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))) (*.f64 x x))
(.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))) (.f64 (.f64 x x) (*.f64 x x)))

simplify875.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

17042×	`accelerator-lowering-fma.f32`
17042×	`accelerator-lowering-fma.f64`
4894×	`-lowering-.f32`
4894×	`-lowering-.f64`
4074×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	217	1876
1	690	1846
2	1983	1813
3	5867	1806
0	8385	1741

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

Inputs
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(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)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/3 x)
(* x (+ 1/3 (* 1/5 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* 1/7 (pow x 5))
(* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/7 (pow x 5))
(* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* 1/5 (pow x 2))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
x
(* x (+ 1 (* 1/27 (pow x 6))))
(* x (+ 1 (* (pow x 6) (+ 1/27 (* 1/15 (pow x 2))))))
(* x (+ 1 (* (pow x 6) (+ 1/27 (* (pow x 2) (+ 1/15 (* 46/525 (pow x 2))))))))
(* 1/343 (pow x 19))
(* (pow x 19) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))
(* (pow x 19) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2))))))
(* (pow x 19) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6)))))))
(* 1/343 (pow x 19))
(* (pow x 19) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))
(* -1 (* (pow x 19) (- (* -1 (/ (+ 3/245 (* 46/1225 (/ 1 (pow x 2)))) (pow x 2))) 1/343)))
(* -1 (* (pow x 19) (- (* -1 (/ (+ 46/1225 (* 57/875 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))))
1
(+ 1 (* 1/27 (pow x 6)))
(+ 1 (* (pow x 6) (+ 1/27 (* 1/15 (pow x 2)))))
(+ 1 (* (pow x 6) (+ 1/27 (* (pow x 2) (+ 1/15 (* 46/525 (pow x 2)))))))
(* 1/343 (pow x 18))
(* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2))))))
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6)))))))
(* 1/343 (pow x 18))
(* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2))))))
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6)))))))
(* 1/27 (pow x 6))
(* (pow x 6) (+ 1/27 (* 1/15 (pow x 2))))
(* (pow x 6) (+ 1/27 (* (pow x 2) (+ 1/15 (* 46/525 (pow x 2))))))
(* (pow x 6) (+ 1/27 (* (pow x 2) (+ 1/15 (* (pow x 2) (+ 46/525 (* 57/875 (pow x 2))))))))
(* 1/343 (pow x 18))
(* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2))))))
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6)))))))
(* 1/343 (pow x 18))
(* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2))))))
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6)))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
x
(* x (+ 1 (* -1/9 (pow x 4))))
(* x (+ 1 (* (pow x 4) (- (* -2/15 (pow x 2)) 1/9))))
(* x (+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -71/525 (pow x 2)) 2/15)) 1/9))))
(* -1/49 (pow x 13))
(* -1 (* (pow x 13) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))
(* (pow x 13) (- (* -1 (/ (+ 2/35 (* 71/525 (/ 1 (pow x 2)))) (pow x 2))) 1/49))
(* (pow x 13) (- (* -1 (/ (+ 71/525 (* 2/15 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))
(* -1/49 (pow x 13))
(* -1 (* (pow x 13) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))
(* -1 (* (pow x 13) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 13) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6))))))))
1
(+ 1 (* -1/9 (pow x 4)))
(+ 1 (* (pow x 4) (- (* -2/15 (pow x 2)) 1/9)))
(+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -71/525 (pow x 2)) 2/15)) 1/9)))
(* -1/49 (pow x 12))
(* -1 (* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))
(* (pow x 12) (- (* -1 (/ (+ 2/35 (* 71/525 (/ 1 (pow x 2)))) (pow x 2))) 1/49))
(* (pow x 12) (- (* -1 (/ (+ 71/525 (* 2/15 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))
(* -1/49 (pow x 12))
(* -1 (* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))
(* (pow x 12) (- (* -1 (/ (+ 2/35 (* 71/525 (/ 1 (pow x 2)))) (pow x 2))) 1/49))
(* (pow x 12) (- (* -1 (/ (+ 71/525 (* 2/15 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))
(* 1/9 (pow x 4))
(* (pow x 4) (+ 1/9 (* 2/15 (pow x 2))))
(* (pow x 4) (+ 1/9 (* (pow x 2) (+ 2/15 (* 71/525 (pow x 2))))))
(* (pow x 4) (+ 1/9 (* (pow x 2) (+ 2/15 (* (pow x 2) (+ 71/525 (* 2/35 (pow x 2))))))))
(* 1/49 (pow x 12))
(* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))
(* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))
(* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6)))))))
(* 1/49 (pow x 12))
(* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))
(* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))
(* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6)))))))

Outputs
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 (pow x 3))
(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))
(* 1/3 (pow x 3))
(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))
(* 1/3 (pow x 3))
(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))
(* 1/3 (pow x 3))
(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))
(* 1/3 (pow x 3))
(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))
(* 1/3 (pow x 3))
(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))
(* 1/3 (pow x 3))
(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))
(* 1/3 (pow x 3))
(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))
(* 1/3 (pow x 3))
(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))
(* 1/3 (pow x 3))
(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))
(* 1/3 (pow x 3))
(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))
(* 1/3 (pow x 3))
(.f64 #s(literal 1/3 binary64) (.f64 x (*.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)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* 1/3 (pow x 3))
(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* 1/3 (pow x 3))
(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/5 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64)))))
(* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))
(* 1/7 (pow x 5))
(.f64 x (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/7 binary64))))
(* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))))
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(* 1/7 (pow x 5))
(.f64 x (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/7 binary64))))
(* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(.f64 (.f64 x (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 1/7 binary64) (/.f64 (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(.f64 (.f64 x (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 1/7 binary64) (/.f64 (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (*.f64 x x))))
(* 1/5 (pow x 2))
(.f64 x (.f64 x #s(literal 1/5 binary64)))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))
(* 1/7 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/7 binary64)))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
(* 1/7 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/7 binary64)))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
(* 1/7 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/7 binary64))
(* 1/7 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/7 binary64))
(* 1/7 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/7 binary64))
(* 1/7 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/7 binary64))
(* 1/7 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/7 binary64))
(* 1/7 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/7 binary64))
(* 1/7 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/7 binary64))
(* 1/7 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/7 binary64))
(* 1/7 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/7 binary64))
(* 1/7 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/7 binary64))
(* 1/7 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/7 binary64))
(* 1/7 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/7 binary64))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64))))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))))
(* 1/7 (pow x 7))
(.f64 #s(literal 1/7 binary64) (.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x)))))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))) (.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f64 (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (.f64 x x))))) (.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x)))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))))))
(* 1/7 (pow x 7))
(.f64 #s(literal 1/7 binary64) (.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x)))))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))) (.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(.f64 (.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 1/7 binary64) (/.f64 (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
(.f64 (.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) (+.f64 #s(literal 1/7 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))))))
x
(* x (+ 1 (* 1/27 (pow x 6))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))) #s(literal 1/27 binary64))))
(* x (+ 1 (* (pow x 6) (+ 1/27 (* 1/15 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 1/27 binary64) (.f64 x (*.f64 x #s(literal 1/15 binary64)))))))
(* x (+ 1 (* (pow x 6) (+ 1/27 (* (pow x 2) (+ 1/15 (* 46/525 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/15 binary64) (.f64 x (*.f64 x #s(literal 46/525 binary64))))))))))
(* 1/343 (pow x 19))
(*.f64 #s(literal 1/343 binary64) (pow.f64 x #s(literal 19 binary64)))
(* (pow x 19) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 19 binary64)) (+.f64 #s(literal 1/343 binary64) (/.f64 #s(literal 3/245 binary64) (.f64 x x))))
(* (pow x 19) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 19 binary64)) (+.f64 (+.f64 #s(literal 1/343 binary64) (/.f64 #s(literal 3/245 binary64) (.f64 x x))) (/.f64 #s(literal 46/1225 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
(* (pow x 19) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6)))))))
(.f64 (pow.f64 x #s(literal 19 binary64)) (+.f64 #s(literal 1/343 binary64) (+.f64 (/.f64 #s(literal 3/245 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 46/1225 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 57/875 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))))))
(* 1/343 (pow x 19))
(*.f64 #s(literal 1/343 binary64) (pow.f64 x #s(literal 19 binary64)))
(* (pow x 19) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 19 binary64)) (+.f64 #s(literal 1/343 binary64) (/.f64 #s(literal 3/245 binary64) (.f64 x x))))
(* -1 (* (pow x 19) (- (* -1 (/ (+ 3/245 (* 46/1225 (/ 1 (pow x 2)))) (pow x 2))) 1/343)))
(.f64 (pow.f64 x #s(literal 19 binary64)) (+.f64 #s(literal 1/343 binary64) (/.f64 (+.f64 #s(literal 3/245 binary64) (/.f64 #s(literal 46/1225 binary64) (.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 19) (- (* -1 (/ (+ 46/1225 (* 57/875 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 19 binary64)) (-.f64 (+.f64 #s(literal 1/343 binary64) (/.f64 #s(literal 3/245 binary64) (.f64 x x))) (/.f64 (-.f64 #s(literal -46/1225 binary64) (/.f64 #s(literal 57/875 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x)))))
1
#s(literal 1 binary64)
(+ 1 (* 1/27 (pow x 6)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/27 binary64)))
(+ 1 (* (pow x 6) (+ 1/27 (* 1/15 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x #s(literal 1/15 binary64))))))
(+ 1 (* (pow x 6) (+ 1/27 (* (pow x 2) (+ 1/15 (* 46/525 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/15 binary64) (.f64 x (.f64 x #s(literal 46/525 binary64)))))))))
(* 1/343 (pow x 18))
(*.f64 #s(literal 1/343 binary64) (pow.f64 x #s(literal 18 binary64)))
(* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/343 binary64) (/.f64 #s(literal 3/245 binary64) (.f64 x x))) (pow.f64 x #s(literal 18 binary64)))
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2))))))
(.f64 (+.f64 (+.f64 #s(literal 1/343 binary64) (/.f64 #s(literal 3/245 binary64) (.f64 x x))) (/.f64 #s(literal 46/1225 binary64) (.f64 (.f64 x x) (*.f64 x x)))) (pow.f64 x #s(literal 18 binary64)))
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6)))))))
(.f64 (+.f64 #s(literal 1/343 binary64) (+.f64 (/.f64 #s(literal 3/245 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 46/1225 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 57/875 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))))) (pow.f64 x #s(literal 18 binary64)))
(* 1/343 (pow x 18))
(*.f64 #s(literal 1/343 binary64) (pow.f64 x #s(literal 18 binary64)))
(* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/343 binary64) (/.f64 #s(literal 3/245 binary64) (.f64 x x))) (pow.f64 x #s(literal 18 binary64)))
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2))))))
(.f64 (+.f64 (+.f64 #s(literal 1/343 binary64) (/.f64 #s(literal 3/245 binary64) (.f64 x x))) (/.f64 #s(literal 46/1225 binary64) (.f64 (.f64 x x) (*.f64 x x)))) (pow.f64 x #s(literal 18 binary64)))
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6)))))))
(.f64 (+.f64 #s(literal 1/343 binary64) (+.f64 (/.f64 #s(literal 3/245 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 46/1225 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 57/875 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))))) (pow.f64 x #s(literal 18 binary64)))
(* 1/27 (pow x 6))
(.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/27 binary64))
(* (pow x 6) (+ 1/27 (* 1/15 (pow x 2))))
(.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x #s(literal 1/15 binary64)))))
(* (pow x 6) (+ 1/27 (* (pow x 2) (+ 1/15 (* 46/525 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/15 binary64) (.f64 x (.f64 x #s(literal 46/525 binary64))))))))
(* (pow x 6) (+ 1/27 (* (pow x 2) (+ 1/15 (* (pow x 2) (+ 46/525 (* 57/875 (pow x 2))))))))
(.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/15 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 46/525 binary64) (.f64 (.f64 x x) #s(literal 57/875 binary64)))))))))
(* 1/343 (pow x 18))
(*.f64 #s(literal 1/343 binary64) (pow.f64 x #s(literal 18 binary64)))
(* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/343 binary64) (/.f64 #s(literal 3/245 binary64) (.f64 x x))) (pow.f64 x #s(literal 18 binary64)))
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2))))))
(.f64 (+.f64 (+.f64 #s(literal 1/343 binary64) (/.f64 #s(literal 3/245 binary64) (.f64 x x))) (/.f64 #s(literal 46/1225 binary64) (.f64 (.f64 x x) (*.f64 x x)))) (pow.f64 x #s(literal 18 binary64)))
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6)))))))
(.f64 (+.f64 #s(literal 1/343 binary64) (+.f64 (/.f64 #s(literal 3/245 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 46/1225 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 57/875 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))))) (pow.f64 x #s(literal 18 binary64)))
(* 1/343 (pow x 18))
(*.f64 #s(literal 1/343 binary64) (pow.f64 x #s(literal 18 binary64)))
(* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/343 binary64) (/.f64 #s(literal 3/245 binary64) (.f64 x x))) (pow.f64 x #s(literal 18 binary64)))
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2))))))
(.f64 (+.f64 (+.f64 #s(literal 1/343 binary64) (/.f64 #s(literal 3/245 binary64) (.f64 x x))) (/.f64 #s(literal 46/1225 binary64) (.f64 (.f64 x x) (*.f64 x x)))) (pow.f64 x #s(literal 18 binary64)))
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6)))))))
(.f64 (+.f64 #s(literal 1/343 binary64) (+.f64 (/.f64 #s(literal 3/245 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 46/1225 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 57/875 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))))) (pow.f64 x #s(literal 18 binary64)))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64))))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))))
(* 1/7 (pow x 7))
(.f64 #s(literal 1/7 binary64) (.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x)))))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))) (.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f64 (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (.f64 x x))))) (.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x)))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))))))
(* 1/7 (pow x 7))
(.f64 #s(literal 1/7 binary64) (.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x)))))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))) (.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(.f64 (.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 1/7 binary64) (/.f64 (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
(.f64 (.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) (+.f64 #s(literal 1/7 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))))))
x
(* x (+ 1 (* -1/9 (pow x 4))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal -1/9 binary64))))
(* x (+ 1 (* (pow x 4) (- (* -2/15 (pow x 2)) 1/9))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/9 binary64) (.f64 (*.f64 x x) #s(literal -2/15 binary64))))))
(* x (+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -71/525 (pow x 2)) 2/15)) 1/9))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/9 binary64) (.f64 x (.f64 x (+.f64 #s(literal -2/15 binary64) (.f64 (*.f64 x x) #s(literal -71/525 binary64)))))))))
(* -1/49 (pow x 13))
(*.f64 #s(literal -1/49 binary64) (pow.f64 x #s(literal 13 binary64)))
(* -1 (* (pow x 13) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 13 binary64)) (-.f64 #s(literal -1/49 binary64) (/.f64 #s(literal 2/35 binary64) (.f64 x x))))
(* (pow x 13) (- (* -1 (/ (+ 2/35 (* 71/525 (/ 1 (pow x 2)))) (pow x 2))) 1/49))
(.f64 (pow.f64 x #s(literal 13 binary64)) (+.f64 #s(literal -1/49 binary64) (/.f64 (-.f64 #s(literal -2/35 binary64) (/.f64 #s(literal 71/525 binary64) (.f64 x x))) (*.f64 x x))))
(* (pow x 13) (- (* -1 (/ (+ 71/525 (* 2/15 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 13 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -71/525 binary64) (/.f64 #s(literal -2/15 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal -1/49 binary64) (/.f64 #s(literal 2/35 binary64) (.f64 x x)))))
(* -1/49 (pow x 13))
(*.f64 #s(literal -1/49 binary64) (pow.f64 x #s(literal 13 binary64)))
(* -1 (* (pow x 13) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 13 binary64)) (-.f64 #s(literal -1/49 binary64) (/.f64 #s(literal 2/35 binary64) (.f64 x x))))
(* -1 (* (pow x 13) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 13 binary64)) (-.f64 #s(literal -1/49 binary64) (+.f64 (/.f64 #s(literal 2/35 binary64) (.f64 x x)) (/.f64 #s(literal 71/525 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(* -1 (* (pow x 13) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6))))))))
(.f64 (pow.f64 x #s(literal 13 binary64)) (-.f64 #s(literal -1/49 binary64) (+.f64 (/.f64 #s(literal 71/525 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (/.f64 #s(literal 2/35 binary64) (.f64 x x)) (/.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/9 (pow x 4)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/9 binary64)))
(+ 1 (* (pow x 4) (- (* -2/15 (pow x 2)) 1/9)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/9 binary64) (.f64 (.f64 x x) #s(literal -2/15 binary64)))))
(+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -71/525 (pow x 2)) 2/15)) 1/9)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/9 binary64) (.f64 x (.f64 x (+.f64 #s(literal -2/15 binary64) (.f64 (.f64 x x) #s(literal -71/525 binary64))))))))
(* -1/49 (pow x 12))
(*.f64 #s(literal -1/49 binary64) (pow.f64 x #s(literal 12 binary64)))
(* -1 (* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 #s(literal -1/49 binary64) (/.f64 #s(literal 2/35 binary64) (.f64 x x))))
(* (pow x 12) (- (* -1 (/ (+ 2/35 (* 71/525 (/ 1 (pow x 2)))) (pow x 2))) 1/49))
(.f64 (+.f64 #s(literal -1/49 binary64) (/.f64 (-.f64 #s(literal -2/35 binary64) (/.f64 #s(literal 71/525 binary64) (.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (- (* -1 (/ (+ 71/525 (* 2/15 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))
(.f64 (+.f64 (/.f64 (+.f64 #s(literal -71/525 binary64) (/.f64 #s(literal -2/15 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal -1/49 binary64) (/.f64 #s(literal 2/35 binary64) (.f64 x x)))) (pow.f64 x #s(literal 12 binary64)))
(* -1/49 (pow x 12))
(*.f64 #s(literal -1/49 binary64) (pow.f64 x #s(literal 12 binary64)))
(* -1 (* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 #s(literal -1/49 binary64) (/.f64 #s(literal 2/35 binary64) (.f64 x x))))
(* (pow x 12) (- (* -1 (/ (+ 2/35 (* 71/525 (/ 1 (pow x 2)))) (pow x 2))) 1/49))
(.f64 (+.f64 #s(literal -1/49 binary64) (/.f64 (-.f64 #s(literal -2/35 binary64) (/.f64 #s(literal 71/525 binary64) (.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (- (* -1 (/ (+ 71/525 (* 2/15 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))
(.f64 (+.f64 (/.f64 (+.f64 #s(literal -71/525 binary64) (/.f64 #s(literal -2/15 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal -1/49 binary64) (/.f64 #s(literal 2/35 binary64) (.f64 x x)))) (pow.f64 x #s(literal 12 binary64)))
(* 1/9 (pow x 4))
(.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/9 binary64))
(* (pow x 4) (+ 1/9 (* 2/15 (pow x 2))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64))))
(* (pow x 4) (+ 1/9 (* (pow x 2) (+ 2/15 (* 71/525 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal 71/525 binary64)))))))
(* (pow x 4) (+ 1/9 (* (pow x 2) (+ 2/15 (* (pow x 2) (+ 71/525 (* 2/35 (pow x 2))))))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x (+.f64 #s(literal 71/525 binary64) (.f64 (.f64 x x) #s(literal 2/35 binary64)))))))))
(* 1/49 (pow x 12))
(*.f64 #s(literal 1/49 binary64) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/49 binary64) (/.f64 #s(literal 2/35 binary64) (.f64 x x))) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))
(.f64 (+.f64 #s(literal 1/49 binary64) (+.f64 (/.f64 #s(literal 2/35 binary64) (.f64 x x)) (/.f64 #s(literal 71/525 binary64) (.f64 (.f64 x x) (*.f64 x x))))) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6)))))))
(.f64 (+.f64 #s(literal 1/49 binary64) (+.f64 (/.f64 #s(literal 71/525 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (/.f64 #s(literal 2/35 binary64) (.f64 x x)) (/.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))))) (pow.f64 x #s(literal 12 binary64)))
(* 1/49 (pow x 12))
(*.f64 #s(literal 1/49 binary64) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/49 binary64) (/.f64 #s(literal 2/35 binary64) (.f64 x x))) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))
(.f64 (+.f64 #s(literal 1/49 binary64) (+.f64 (/.f64 #s(literal 2/35 binary64) (.f64 x x)) (/.f64 #s(literal 71/525 binary64) (.f64 (.f64 x x) (*.f64 x x))))) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6)))))))
(.f64 (+.f64 #s(literal 1/49 binary64) (+.f64 (/.f64 #s(literal 71/525 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (/.f64 #s(literal 2/35 binary64) (.f64 x x)) (/.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))))) (pow.f64 x #s(literal 12 binary64)))

eval2.1s (11%)

Compiler: Compiled 198793 to 113354 computations (43% saved)

prune524.0ms (2.7%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	2024	2	2026
Fresh	0	0	0
Picked	2	1	3
Done	0	5	5
Total	2026	8	2034

Accuracy

100.0%

Counts

2034 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64))))) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64))))))))))
▶	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))))))
✓	99.5%	(+.f64 (.f64 (.f64 x x) (*.f64 x #s(literal 1/3 binary64))) x)
✓	99.7%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))))
✓	99.8%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))))
✓	100.0%	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (neg.f64 (*.f64 x x)))))
✓	7.6%	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
✓	99.3%	x

Compiler

Compiled 128 to 84 computations (34.4% saved)

localize943.0ms (4.9%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64))))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64)))))
✓	cost-diff	0	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/9 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64))))) x)
✓	cost-diff	0	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64))))) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64))))))))))
✓	cost-diff	0	(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))
✓	cost-diff	0	(+.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))))))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/7 binary64)))
✓	accuracy	99.7%	(.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))
✓	accuracy	99.5%	(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64)))))))
✓	accuracy	99.4%	(*.f64 x #s(literal 1/7 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))))))

Rules

8516×	`accelerator-lowering-fma.f32`
8516×	`accelerator-lowering-fma.f64`
3704×	`-lowering-.f32`
3704×	`-lowering-.f64`
2826×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	230
1	90	220
2	329	218
3	1124	216
4	2343	216
5	4756	216
6	7922	216
0	8557	191

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ 1 (/ 1 (+ x (* 1/3 (* x (* x x))))))
1
(/ 1 (+ x (* 1/3 (* x (* x x)))))
(+ x (* 1/3 (* x (* x x))))
x
(* 1/3 (* x (* x x)))
1/3
(* x (* x x))
(* x x)
(/ (* (- 1 (* (* (* x x) (* x x)) (+ 1/9 (* (* x x) 2/15)))) x) (- 1 (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))))
(* (- 1 (* (* (* x x) (* x x)) (+ 1/9 (* (* x x) 2/15)))) x)
(- 1 (* (* (* x x) (* x x)) (+ 1/9 (* (* x x) 2/15))))
(* (* (* x x) (* x x)) (+ 1/9 (* (* x x) 2/15)))
(* (* x x) (* x x))
(+ 1/9 (* (* x x) 2/15))
1/9
(* (* x x) 2/15)
2/15
(- 1 (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))
(* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))
(* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))
(+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))
(* (* x x) (+ 1/5 (* x (* x 1/7))))
(+ 1/5 (* x (* x 1/7)))
1/5
(* x (* x 1/7))
(* x 1/7)
1/7

Outputs
(/ 1 (/ 1 (+ x (* 1/3 (* x (* x x))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
1
#s(literal 1 binary64)
(/ 1 (+ x (* 1/3 (* x (* x x)))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x)))) x)
(+ x (* 1/3 (* x (* x x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
x
(* 1/3 (* x (* x x)))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
1/3
#s(literal 1/3 binary64)
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
(/ (* (- 1 (* (* (* x x) (* x x)) (+ 1/9 (* (* x x) 2/15)))) x) (- 1 (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))
(* (- 1 (* (* (* x x) (* x x)) (+ 1/9 (* (* x x) 2/15)))) x)
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/9 binary64) (.f64 x (*.f64 x #s(literal 2/15 binary64)))))))
(- 1 (* (* (* x x) (* x x)) (+ 1/9 (* (* x x) 2/15))))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64))))))
(* (* (* x x) (* x x)) (+ 1/9 (* (* x x) 2/15)))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64)))))
(* (* x x) (* x x))
(.f64 (.f64 x x) (*.f64 x x))
(+ 1/9 (* (* x x) 2/15))
(+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64))))
1/9
#s(literal 1/9 binary64)
(* (* x x) 2/15)
(.f64 x (.f64 x #s(literal 2/15 binary64)))
2/15
#s(literal 2/15 binary64)
(- 1 (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))))
(* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))
(* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))))
(+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))
(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))
(* (* x x) (+ 1/5 (* x (* x 1/7))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))
(+ 1/5 (* x (* x 1/7)))
(+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))
1/5
#s(literal 1/5 binary64)
(* x (* x 1/7))
(.f64 (.f64 x x) #s(literal 1/7 binary64))
(* x 1/7)
(*.f64 x #s(literal 1/7 binary64))
1/7
#s(literal 1/7 binary64)

Results

158.0ms

256×

valid

Compiler

Compiled 262 to 132 computations (49.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 120.0ms

ival-mult: 77.0ms (64.3% of total)

ival-add: 24.0ms (20% of total)

ival-div: 6.0ms (5% of total)

ival-sub: 6.0ms (5% of total)

const: 6.0ms (5% of total)

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

series19.0ms (0.1%)

Counts

13 → 156

Calls

Call 1

Inputs
#<alt (/ 1 (/ 1 (+ x (* 1/3 (* x (* x x))))))>
#<alt (* 1/3 (* x (* x x)))>
#<alt (* x (* x x))>
#<alt (/ 1 (+ x (* 1/3 (* x (* x x)))))>
#<alt (* x 1/7)>
#<alt (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))>
#<alt (* (* x x) (+ 1/5 (* x (* x 1/7))))>
#<alt (* x (* x 1/7))>
#<alt (+ x (* 1/3 (* x (* x x))))>
#<alt (/ (* (- 1 (* (* (* x x) (* x x)) (+ 1/9 (* (* x x) 2/15)))) x) (- 1 (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))))>
#<alt (* (- 1 (* (* (* x x) (* x x)) (+ 1/9 (* (* x x) 2/15)))) x)>
#<alt (- 1 (* (* (* x x) (* x x)) (+ 1/9 (* (* x x) 2/15))))>
#<alt (* (* (* x x) (* x x)) (+ 1/9 (* (* x x) 2/15)))>

Outputs
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (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 (pow x 3)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1/3 (pow x 2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* 1/9 (pow x 2)) 1/3))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/9 (* -1/27 (pow x 2)))) 1/3))) x)>
#<alt (/ 3 (pow x 3))>
#<alt (/ (- 3 (* 9 (/ 1 (pow x 2)))) (pow x 3))>
#<alt (/ (- (+ 3 (/ 27 (pow x 4))) (* 9 (/ 1 (pow x 2)))) (pow x 3))>
#<alt (/ (- (+ 3 (/ 27 (pow x 4))) (+ (* 9 (/ 1 (pow x 2))) (* 81 (/ 1 (pow x 6))))) (pow x 3))>
#<alt (/ 3 (pow x 3))>
#<alt (* -1 (/ (- (* 9 (/ 1 (pow x 2))) 3) (pow x 3)))>
#<alt (* -1 (/ (- (* 9 (/ 1 (pow x 2))) (+ 3 (/ 27 (pow x 4)))) (pow x 3)))>
#<alt (* -1 (/ (- (+ (* 9 (/ 1 (pow x 2))) (* 81 (/ 1 (pow x 6)))) (+ 3 (/ 27 (pow x 4)))) (pow x 3)))>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* 1/7 (pow x 5))>
#<alt (* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/7 (pow x 5))>
#<alt (* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))>
#<alt (* 1/5 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* 1/7 (pow x 4))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/7 (pow x 4))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* 14/15 x)>
#<alt (* x (- 14/15 (* 119/225 (/ 1 (pow x 2)))))>
#<alt (* x (+ 14/15 (* -1 (/ (+ 119/225 (* 539/375 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 14/15 (* 46907/16875 (/ 1 (pow x 6)))) (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4)))))>
#<alt (* 14/15 x)>
#<alt (* -1 (* x (- (* 119/225 (/ 1 (pow x 2))) 14/15)))>
#<alt (* -1 (* x (- (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4))) 14/15)))>
#<alt (* -1 (* x (- (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4))) (+ 14/15 (* 46907/16875 (/ 1 (pow x 6)))))))>
#<alt x>
#<alt (* x (+ 1 (* -1/9 (pow x 4))))>
#<alt (* x (+ 1 (* (pow x 4) (- (* -2/15 (pow x 2)) 1/9))))>
#<alt (* x (+ 1 (* (pow x 4) (- (* -2/15 (pow x 2)) 1/9))))>
#<alt (* -2/15 (pow x 7))>
#<alt (* -1 (* (pow x 7) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (- (/ 1 (pow x 6)) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (- (/ 1 (pow x 6)) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))>
#<alt (* -2/15 (pow x 7))>
#<alt (* -1 (* (pow x 7) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 2/15 (* 1/9 (/ 1 (pow x 2)))) (/ 1 (pow x 6)))))>
#<alt (* -1 (* (pow x 7) (- (+ 2/15 (* 1/9 (/ 1 (pow x 2)))) (/ 1 (pow x 6)))))>
#<alt 1>
#<alt (+ 1 (* -1/9 (pow x 4)))>
#<alt (+ 1 (* (pow x 4) (- (* -2/15 (pow x 2)) 1/9)))>
#<alt (+ 1 (* (pow x 4) (- (* -2/15 (pow x 2)) 1/9)))>
#<alt (* -2/15 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))>
#<alt (* -2/15 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))>
#<alt (* 1/9 (pow x 4))>
#<alt (* (pow x 4) (+ 1/9 (* 2/15 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/9 (* 2/15 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/9 (* 2/15 (pow x 2))))>
#<alt (* 2/15 (pow x 6))>
#<alt (* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 6))>
#<alt (* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))>

Calls

39 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(* (- 1 (* (* (* x x) (* x x)) (+ 1/9 (* (* x x) 2/15)))) x)
0.0ms	x	@	inf	(/ (* (- 1 (* (* (* x x) (* x x)) (+ 1/9 (* (* x x) 2/15)))) x) (- 1 (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))))
0.0ms	x	@	-inf	(* x (* x x))
0.0ms	x	@	inf	(* (* (* x x) (* x x)) (+ 1/9 (* (* x x) 2/15)))
0.0ms	x	@	-inf	(/ (* (- 1 (* (* (* x x) (* x x)) (+ 1/9 (* (* x x) 2/15)))) x) (- 1 (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))))

rewrite559.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

5240×	`-lowering-.f32`
5240×	`-lowering-.f64`
4314×	`/-lowering-/.f32`
4314×	`/-lowering-/.f64`
3188×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	147
1	187	139
2	1601	139
0	8214	127

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 525

Calls

Call 1

Inputs
(/ 1 (/ 1 (+ x (* 1/3 (* x (* x x))))))
(* 1/3 (* x (* x x)))
(* x (* x x))
(/ 1 (+ x (* 1/3 (* x (* x x)))))
(* x 1/7)
(* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))
(* (* x x) (+ 1/5 (* x (* x 1/7))))
(* x (* x 1/7))
(+ x (* 1/3 (* x (* x x))))
(/ (* (- 1 (* (* (* x x) (* x x)) (+ 1/9 (* (* x x) 2/15)))) x) (- 1 (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))))
(* (- 1 (* (* (* x x) (* x x)) (+ 1/9 (* (* x x) 2/15)))) x)
(- 1 (* (* (* x x) (* x x)) (+ 1/9 (* (* x x) 2/15))))
(* (* (* x x) (* x x)) (+ 1/9 (* (* x x) 2/15)))

Outputs
(+.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64))))
(+.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64))) x)
(+.f64 (.f64 x #s(literal 1 binary64)) (.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64)))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)))) (*.f64 #s(literal 1 binary64) x))
(+.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64))) #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))
(exp.f64 (log.f64 (+.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64))))))
(exp.f64 (.f64 (log.f64 (+.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64))))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64)))) #s(literal -1 binary64)))
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(.f64 (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64)))) x) (.f64 x (.f64 x x)))
(.f64 (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64)))) (.f64 x (.f64 x x))) x)
(.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 x (*.f64 x #s(literal 2/15 binary64))))))
(.f64 (.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/9 binary64) (.f64 x (*.f64 x #s(literal 2/15 binary64)))))
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simplify836.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

17590×	`accelerator-lowering-fma.f32`
17590×	`accelerator-lowering-fma.f64`
5206×	`-lowering-.f32`
5206×	`-lowering-.f64`
4100×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	161	1332
1	479	1289
2	1375	1260
3	4065	1258
0	9240	1197

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (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)
(pow x 3)
(pow x 3)
(/ 1 x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 1/9 (pow x 2)) 1/3))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/9 (* -1/27 (pow x 2)))) 1/3))) x)
(/ 3 (pow x 3))
(/ (- 3 (* 9 (/ 1 (pow x 2)))) (pow x 3))
(/ (- (+ 3 (/ 27 (pow x 4))) (* 9 (/ 1 (pow x 2)))) (pow x 3))
(/ (- (+ 3 (/ 27 (pow x 4))) (+ (* 9 (/ 1 (pow x 2))) (* 81 (/ 1 (pow x 6))))) (pow x 3))
(/ 3 (pow x 3))
(* -1 (/ (- (* 9 (/ 1 (pow x 2))) 3) (pow x 3)))
(* -1 (/ (- (* 9 (/ 1 (pow x 2))) (+ 3 (/ 27 (pow x 4)))) (pow x 3)))
(* -1 (/ (- (+ (* 9 (/ 1 (pow x 2))) (* 81 (/ 1 (pow x 6)))) (+ 3 (/ 27 (pow x 4)))) (pow x 3)))
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/3 x)
(* x (+ 1/3 (* 1/5 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* 1/7 (pow x 5))
(* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/7 (pow x 5))
(* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* 1/5 (pow x 2))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 14/15 x)
(* x (- 14/15 (* 119/225 (/ 1 (pow x 2)))))
(* x (+ 14/15 (* -1 (/ (+ 119/225 (* 539/375 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 14/15 (* 46907/16875 (/ 1 (pow x 6)))) (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4)))))
(* 14/15 x)
(* -1 (* x (- (* 119/225 (/ 1 (pow x 2))) 14/15)))
(* -1 (* x (- (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4))) 14/15)))
(* -1 (* x (- (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4))) (+ 14/15 (* 46907/16875 (/ 1 (pow x 6)))))))
x
(* x (+ 1 (* -1/9 (pow x 4))))
(* x (+ 1 (* (pow x 4) (- (* -2/15 (pow x 2)) 1/9))))
(* x (+ 1 (* (pow x 4) (- (* -2/15 (pow x 2)) 1/9))))
(* -2/15 (pow x 7))
(* -1 (* (pow x 7) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))
(* (pow x 7) (- (/ 1 (pow x 6)) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))
(* (pow x 7) (- (/ 1 (pow x 6)) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))
(* -2/15 (pow x 7))
(* -1 (* (pow x 7) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 2/15 (* 1/9 (/ 1 (pow x 2)))) (/ 1 (pow x 6)))))
(* -1 (* (pow x 7) (- (+ 2/15 (* 1/9 (/ 1 (pow x 2)))) (/ 1 (pow x 6)))))
1
(+ 1 (* -1/9 (pow x 4)))
(+ 1 (* (pow x 4) (- (* -2/15 (pow x 2)) 1/9)))
(+ 1 (* (pow x 4) (- (* -2/15 (pow x 2)) 1/9)))
(* -2/15 (pow x 6))
(* -1 (* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))
(* -2/15 (pow x 6))
(* -1 (* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))
(* 1/9 (pow x 4))
(* (pow x 4) (+ 1/9 (* 2/15 (pow x 2))))
(* (pow x 4) (+ 1/9 (* 2/15 (pow x 2))))
(* (pow x 4) (+ 1/9 (* 2/15 (pow x 2))))
(* 2/15 (pow x 6))
(* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))
(* 2/15 (pow x 6))
(* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))

Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* 1/3 (pow x 3))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* 1/3 (pow x 3))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* 1/3 (pow x 3))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(* 1/3 (pow x 3))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(* 1/3 (pow x 3))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(* 1/3 (pow x 3))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(* 1/3 (pow x 3))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(* 1/3 (pow x 3))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(* 1/3 (pow x 3))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(* 1/3 (pow x 3))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(* 1/3 (pow x 3))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(* 1/3 (pow x 3))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(* 1/3 (pow x 3))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(* 1/3 (pow x 3))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.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))
(pow x 3)
(.f64 x (.f64 x x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64))) x)
(/ (+ 1 (* (pow x 2) (- (* 1/9 (pow x 2)) 1/3))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 1/9 binary64))))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/9 (* -1/27 (pow x 2)))) 1/3))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal -1/27 binary64)))))))) x)
(/ 3 (pow x 3))
(/.f64 #s(literal 3 binary64) (.f64 x (.f64 x x)))
(/ (- 3 (* 9 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -9 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (- (+ 3 (/ 27 (pow x 4))) (* 9 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -9 binary64) (.f64 x x))) (/.f64 #s(literal 27 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x x)))
(/ (- (+ 3 (/ 27 (pow x 4))) (+ (* 9 (/ 1 (pow x 2))) (* 81 (/ 1 (pow x 6))))) (pow x 3))
(/.f64 (+.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 27 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (/.f64 #s(literal -9 binary64) (.f64 x x)) (/.f64 #s(literal 81 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))))))) (.f64 x (*.f64 x x)))
(/ 3 (pow x 3))
(/.f64 #s(literal 3 binary64) (.f64 x (.f64 x x)))
(* -1 (/ (- (* 9 (/ 1 (pow x 2))) 3) (pow x 3)))
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -9 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(* -1 (/ (- (* 9 (/ 1 (pow x 2))) (+ 3 (/ 27 (pow x 4)))) (pow x 3)))
(/.f64 (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -9 binary64) (.f64 x x))) (/.f64 #s(literal 27 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x x)))
(* -1 (/ (- (+ (* 9 (/ 1 (pow x 2))) (* 81 (/ 1 (pow x 6)))) (+ 3 (/ 27 (pow x 4)))) (pow x 3)))
(/.f64 (+.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 27 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (/.f64 #s(literal -9 binary64) (.f64 x x)) (/.f64 #s(literal 81 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))))))) (.f64 x (*.f64 x x)))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* x (+ 1/3 (* 1/5 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))
(* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))))
(* 1/7 (pow x 5))
(.f64 #s(literal 1/7 binary64) (.f64 (.f64 x x) (.f64 x (*.f64 x x))))
(* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x x))) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))))
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* 1/7 (pow x 5))
(.f64 #s(literal 1/7 binary64) (.f64 (.f64 x x) (.f64 x (*.f64 x x))))
(* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x x))) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x x))) (+.f64 #s(literal 1/7 binary64) (/.f64 (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x x))) (+.f64 #s(literal 1/7 binary64) (/.f64 (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (*.f64 x x))))
(* 1/5 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5 binary64))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))
(* 1/7 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/7 binary64))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))))
(* 1/7 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/7 binary64))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))))
(* 1/7 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/7 binary64))
(* 1/7 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/7 binary64))
(* 1/7 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/7 binary64))
(* 1/7 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/7 binary64))
(* 1/7 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/7 binary64))
(* 1/7 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/7 binary64))
(* 1/7 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/7 binary64))
(* 1/7 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/7 binary64))
(* 1/7 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/7 binary64))
(* 1/7 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/7 binary64))
(* 1/7 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/7 binary64))
(* 1/7 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/7 binary64))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* 1/3 (pow x 3))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* 1/3 (pow x 3))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))
(* 14/15 x)
(*.f64 x #s(literal 14/15 binary64))
(* x (- 14/15 (* 119/225 (/ 1 (pow x 2)))))
(+.f64 (.f64 x #s(literal 14/15 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -119/225 binary64)))
(* x (+ 14/15 (* -1 (/ (+ 119/225 (* 539/375 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (.f64 x #s(literal 14/15 binary64)) (.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -119/225 binary64) (/.f64 #s(literal 539/375 binary64) (*.f64 x x))) x)))
(* x (- (+ 14/15 (* 46907/16875 (/ 1 (pow x 6)))) (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4)))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -119/225 binary64)) (.f64 x (+.f64 (+.f64 #s(literal 14/15 binary64) (/.f64 #s(literal 46907/16875 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))))) (/.f64 #s(literal -539/375 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(* 14/15 x)
(*.f64 x #s(literal 14/15 binary64))
(* -1 (* x (- (* 119/225 (/ 1 (pow x 2))) 14/15)))
(+.f64 (.f64 x #s(literal 14/15 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -119/225 binary64)))
(* -1 (* x (- (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4))) 14/15)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -119/225 binary64)) (.f64 x (+.f64 #s(literal 14/15 binary64) (/.f64 #s(literal -539/375 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* -1 (* x (- (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4))) (+ 14/15 (* 46907/16875 (/ 1 (pow x 6)))))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -119/225 binary64)) (.f64 x (+.f64 (+.f64 #s(literal 14/15 binary64) (/.f64 #s(literal 46907/16875 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))))) (/.f64 #s(literal -539/375 binary64) (.f64 x (.f64 x (.f64 x x)))))))
x
(* x (+ 1 (* -1/9 (pow x 4))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/9 binary64))))
(* x (+ 1 (* (pow x 4) (- (* -2/15 (pow x 2)) 1/9))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/9 binary64) (.f64 x (*.f64 x #s(literal -2/15 binary64)))))))
(* x (+ 1 (* (pow x 4) (- (* -2/15 (pow x 2)) 1/9))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/9 binary64) (.f64 x (*.f64 x #s(literal -2/15 binary64)))))))
(* -2/15 (pow x 7))
(*.f64 #s(literal -2/15 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal -2/15 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x x))))
(* (pow x 7) (- (/ 1 (pow x 6)) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))))) (-.f64 #s(literal -2/15 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x x)))))
(* (pow x 7) (- (/ 1 (pow x 6)) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))))) (-.f64 #s(literal -2/15 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x x)))))
(* -2/15 (pow x 7))
(*.f64 #s(literal -2/15 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal -2/15 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x x))))
(* -1 (* (pow x 7) (- (+ 2/15 (* 1/9 (/ 1 (pow x 2)))) (/ 1 (pow x 6)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))))) (-.f64 #s(literal -2/15 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x x)))))
(* -1 (* (pow x 7) (- (+ 2/15 (* 1/9 (/ 1 (pow x 2)))) (/ 1 (pow x 6)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))))) (-.f64 #s(literal -2/15 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x x)))))
1
#s(literal 1 binary64)
(+ 1 (* -1/9 (pow x 4)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)))
(+ 1 (* (pow x 4) (- (* -2/15 (pow x 2)) 1/9)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/9 binary64) (.f64 x (.f64 x #s(literal -2/15 binary64))))))
(+ 1 (* (pow x 4) (- (* -2/15 (pow x 2)) 1/9)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/9 binary64) (.f64 x (.f64 x #s(literal -2/15 binary64))))))
(* -2/15 (pow x 6))
(.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) #s(literal -2/15 binary64))
(* -1 (* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (-.f64 #s(literal -2/15 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x x))))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (-.f64 #s(literal -2/15 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x x)))))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (-.f64 #s(literal -2/15 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x x)))))
(* -2/15 (pow x 6))
(.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) #s(literal -2/15 binary64))
(* -1 (* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (-.f64 #s(literal -2/15 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x x))))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (-.f64 #s(literal -2/15 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x x)))))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (-.f64 #s(literal -2/15 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x x)))))
(* 1/9 (pow x 4))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)))
(* (pow x 4) (+ 1/9 (* 2/15 (pow x 2))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64)))))
(* (pow x 4) (+ 1/9 (* 2/15 (pow x 2))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64)))))
(* (pow x 4) (+ 1/9 (* 2/15 (pow x 2))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64)))))
(* 2/15 (pow x 6))
(.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 2/15 binary64)))
(* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x x))))
(* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x x))))
(* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x x))))
(* 2/15 (pow x 6))
(.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 2/15 binary64)))
(* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x x))))
(* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x x))))
(* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x x))))

eval538.0ms (2.8%)

Compiler: Compiled 35353 to 18386 computations (48% saved)

prune101.0ms (0.5%)

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	677	4	681
Fresh	0	0	0
Picked	2	0	2
Done	0	6	6
Total	679	10	689

Accuracy

100.0%

Counts

689 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(/.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64)))) (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64))))))))) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))))))
	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64))) x))
	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64)))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64)))) (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64))))))) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))))))))))
✓	99.5%	(+.f64 (.f64 (.f64 x x) (*.f64 x #s(literal 1/3 binary64))) x)
	99.8%	(.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 x (*.f64 x #s(literal 2/15 binary64)))))))))
✓	99.7%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))))
✓	99.8%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))))
✓	100.0%	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (neg.f64 (*.f64 x x)))))
✓	7.6%	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
✓	99.3%	x

Compiler

Compiled 772 to 476 computations (38.3% saved)

regimes29.0ms (0.2%)

Counts

16 → 1

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(+.f64 (.f64 (.f64 x x) (*.f64 x #s(literal 1/3 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))))
(.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 x (*.f64 x #s(literal 2/15 binary64)))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64))))) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64))))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))))) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))))))
(/.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64)))) (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64))))))))) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64)))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64)))) (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64))))))) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))))))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))) (.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))) #s(literal 1 binary64)))))
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (neg.f64 (*.f64 x x)))))

Outputs
(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (neg.f64 (*.f64 x x)))))

Calls

4 calls:

22.0ms	x
1.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
1.0ms	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
1.0ms	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
100.0%	1	`(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
100.0%	1	`(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 32 to 25 computations (21.9% saved)

regimes10.0ms (0%)

Counts

15 → 1

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(+.f64 (.f64 (.f64 x x) (*.f64 x #s(literal 1/3 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))))
(.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 x (*.f64 x #s(literal 2/15 binary64)))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64))))) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64))))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))))) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))))))
(/.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64)))) (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64))))))))) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64)))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64)))) (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64))))))) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))))))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))) (.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))) #s(literal 1 binary64)))))
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))

Outputs

(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/9 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))))))) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))))

Calls

4 calls:

4.0ms	x
1.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
1.0ms	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
1.0ms	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
99.8%	1	`(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
99.8%	1	`(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 32 to 25 computations (21.9% saved)

regimes56.0ms (0.3%)

Counts

10 → 1

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(+.f64 (.f64 (.f64 x x) (*.f64 x #s(literal 1/3 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))))
(.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 x (*.f64 x #s(literal 2/15 binary64)))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64))))) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64))))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))))) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))))))

Outputs

(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/9 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))))))

Calls

1 calls:

55.0ms

Results

Accuracy	Segments	Branch
99.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

7 → 1

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(+.f64 (.f64 (.f64 x x) (*.f64 x #s(literal 1/3 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))))

Outputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

6 → 1

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(+.f64 (.f64 (.f64 x x) (*.f64 x #s(literal 1/3 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))))

Outputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

5 → 1

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(+.f64 (.f64 (.f64 x x) (*.f64 x #s(literal 1/3 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))))))

Outputs
(+.f64 (.f64 (.f64 x x) (*.f64 x #s(literal 1/3 binary64))) x)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Counts

2 → 1

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))

Outputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
99.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
99.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

soundness5.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 180 to 107 computations (40.6% saved)

preprocess58.0ms (0.3%)

Compiler: Compiled 386 to 236 computations (38.9% saved)

Iter	Nodes	Cost
0	17	32
1	36	30
2	59	30
3	103	30
4	182	30
5	397	30
6	857	30
7	943	30
8	959	30
0	10	10
1	16	10
2	20	10
3	25	10
4	32	10
5	42	10
6	58	10
7	79	10
8	109	10
9	159	10
10	201	10
11	297	10
12	474	10
13	654	10
0	654	10

Iter	Nodes	Cost
0	8	34
1	14	34
2	18	34
3	23	34
4	30	34
5	40	34
6	56	34
7	77	34
8	107	34
9	157	34
10	197	34
11	293	34
12	471	34
13	650	34
0	650	34

Iter	Nodes	Cost
0	17	32
1	36	30
2	59	30
3	103	30
4	182	30
5	397	30
6	857	30
7	943	30
8	959	30
0	10	10
1	16	10
2	20	10
3	25	10
4	32	10
5	42	10
6	58	10
7	79	10
8	109	10
9	159	10
10	201	10
11	297	10
12	474	10
13	654	10
0	654	10

Iter	Nodes	Cost
0	8	34
1	14	34
2	18	34
3	23	34
4	30	34
5	40	34
6	56	34
7	77	34
8	107	34
9	157	34
10	197	34
11	293	34
12	471	34
13	650	34
0	650	34

analyze4.0ms (0%)

sample3.2s (16.6%)

preprocess42.0ms (0.2%)

explain500.0ms (2.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize273.0ms (1.4%)

series9.0ms (0%)

rewrite577.0ms (3%)

simplify640.0ms (3.3%)

eval269.0ms (1.4%)

prune577.0ms (3%)

localize2.1s (11%)

series36.0ms (0.2%)

rewrite549.0ms (2.8%)

simplify816.0ms (4.2%)

eval317.0ms (1.6%)

prune115.0ms (0.6%)

localize1.7s (8.7%)

series25.0ms (0.1%)

rewrite861.0ms (4.5%)

simplify875.0ms (4.5%)

eval2.1s (11%)

prune524.0ms (2.7%)

localize943.0ms (4.9%)

series19.0ms (0.1%)

rewrite559.0ms (2.9%)

simplify836.0ms (4.3%)

eval538.0ms (2.8%)

prune101.0ms (0.5%)

regimes29.0ms (0.2%)

regimes10.0ms (0%)

regimes56.0ms (0.3%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

regimes1.0ms (0%)

soundness5.0ms (0%)

preprocess58.0ms (0.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	17	32
1	36	30
2	59	30
3	103	30
4	182	30
5	397	30
6	857	30
7	943	30
8	959	30
0	10	10
1	16	10
2	20	10
3	25	10
4	32	10
5	42	10
6	58	10
7	79	10
8	109	10
9	159	10
10	201	10
11	297	10
12	474	10
13	654	10
0	654	10

Iter	Nodes	Cost
0	8	34
1	14	34
2	18	34
3	23	34
4	30	34
5	40	34
6	56	34
7	77	34
8	107	34
9	157	34
10	197	34
11	293	34
12	471	34
13	650	34
0	650	34