Metrics for Rust f64::atanh

analyze2.0ms (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 4 to 3 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

const: 0.0ms (0% of total)

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

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

sample420.0ms (6.2%)

Results

255.0ms	8256×	0	valid
0.0ms	4×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 99.0ms

ival-atanh: 91.0ms (91.8% of total)

const: 6.0ms (6.1% of total)

backward-pass: 3.0ms (3% of total)

Bogosity

preprocess28.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

252×	`fma-define`
212×	`sum3-define`
132×	`fma-lowering-fma.f32`
132×	`fma-lowering-fma.f64`
126×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
1	11	9
2	15	9
3	18	9
4	30	9
5	37	9
6	46	9
7	52	9
0	10	10
1	20	10
2	28	10
3	37	10
4	47	10
5	66	10
6	111	10
7	188	10
8	360	10
9	461	10
10	528	10
11	542	10
12	651	10
0	651	10

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

Inputs
(atanh x)
(atanh (neg x))
(neg (atanh (neg x)))

Outputs
(atanh x)
(atanh (neg x))
(neg (atanh (neg x)))

explain229.0ms (3.4%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
-	-	`(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))`
-	-	`#s(literal 1/2 binary64)`
-	-	`#s(literal 2 binary64)`
-	-	`(*.f64 #s(literal 2 binary64) x)`
-	-	`(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
-	-	`#s(literal 1 binary64)`
-	-	`(-.f64 #s(literal 1 binary64) x)`

Results

130.0ms	364×	1	valid
58.0ms	128×	5	exit
2.0ms	20×	0	valid

Compiler

Compiled 85 to 29 computations (65.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 161.0ms

compiled-spec: 55.0ms (34.2% of total)

ival-log: 42.0ms (26.1% of total)

ival-mult: 22.0ms (13.7% of total)

backward-pass: 19.0ms (11.8% of total)

ival-div: 8.0ms (5% of total)

ival-sub: 7.0ms (4.4% of total)

ival-add: 6.0ms (3.7% of total)

const: 2.0ms (1.2% 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
▶	100.0%	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify49.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 #s(literal 2 binary64) x)
✓	cost-diff	(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
✓	cost-diff	(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
✓	cost-diff	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))

Rules

252×	`fma-define`
212×	`sum3-define`
132×	`fma-lowering-fma.f32`
132×	`fma-lowering-fma.f64`
126×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	35
1	20	35
2	28	35
3	37	35
4	47	35
5	66	35
6	111	35
7	188	35
8	360	35
9	461	35
10	528	35
11	542	35
12	651	35
0	651	35

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize104.0ms (1.5%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) x)
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
✓	accuracy	100.0%	(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))

Results

54.0ms	182×	1	valid
30.0ms	64×	5	exit
1.0ms	10×	0	valid

Compiler

Compiled 37 to 10 computations (73% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

compiled-spec: 31.0ms (35.8% of total)

ival-log: 21.0ms (24.2% of total)

backward-pass: 11.0ms (12.7% of total)

ival-mult: 10.0ms (11.5% of total)

ival-add: 6.0ms (6.9% of total)

ival-div: 4.0ms (4.6% of total)

ival-sub: 3.0ms (3.5% of total)

const: 1.0ms (1.2% of total)

series5.0ms (0.1%)

Counts

4 → 48

Calls

Call 1

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

Outputs
#<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 (* 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 (* 2 x)>
#<alt (* x (+ 2 (* 2 x)))>
#<alt (* x (+ 2 (* x (+ 2 (* 2 x)))))>
#<alt (* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))>
#<alt -2>
#<alt (* -1 (+ 2 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))>
#<alt -2>
#<alt (* -1 (+ 2 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)>
#<alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>

Calls

12 calls:

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

rewrite223.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3232×	`-lowering-.f32`
3232×	`-lowering-.f64`
2314×	`/-lowering-/.f32`
2314×	`/-lowering-/.f64`
1602×	`sum5-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	50	28
2	419	28
3	6064	28
0	8334	28

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 107

Calls

Call 1

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

Outputs
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x))))
(*.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x))) #s(literal 1/2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x))))
(+.f64 (log1p.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal 2 binary64)))))))
(+.f64 (log1p.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (neg.f64 (log1p.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal 2 binary64))))))
(+.f64 (log1p.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -1 binary64)))))))
(+.f64 (log1p.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) (neg.f64 (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -1 binary64))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x))))))
(-.f64 (log1p.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (log1p.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal 2 binary64)))))
(-.f64 (log1p.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -1 binary64)))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))))) (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal 2 binary64)))))))
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x)))))
(-.f64 (log.f64 (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) (log.f64 (+.f64 (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x)) #s(literal -1 binary64))))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (log1p.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (log1p.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))) (+.f64 (.f64 (log1p.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal 2 binary64)))) (log1p.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal 2 binary64))))) (.f64 (log1p.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (log1p.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (log1p.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) (log1p.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))) (+.f64 (.f64 (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -1 binary64)))) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -1 binary64))))) (.f64 (log1p.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -1 binary64))))))))
(/.f64 (-.f64 (.f64 (log1p.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (log1p.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))) (.f64 (log1p.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal 2 binary64)))) (log1p.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal 2 binary64)))))) (+.f64 (log1p.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (log1p.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (log1p.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) (log1p.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))) (.f64 (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -1 binary64)))) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -1 binary64)))))) (+.f64 (log1p.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -1 binary64))))))
(log1p.f64 (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x)))
(+.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(+.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 x (+.f64 #s(literal 1 binary64) x))) (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) x))
(+.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)) (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x x))) x))
(+.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x x))) x) (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(+.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (.f64 x (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 x (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x x)))))
(+.f64 (.f64 x (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x x)))))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -1 binary64))))
(neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x))
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x #s(literal -2 binary64)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal -2 binary64))))
(/.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 x (+.f64 #s(literal 1 binary64) x)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))))
(/.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 x (+.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.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 #s(literal -1 binary64)))))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x)))
(*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(.f64 #s(literal 2 binary64) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))
(.f64 x (.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))))
(.f64 x (.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(.f64 x (.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(.f64 (.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x)) #s(literal 1 binary64))
(.f64 (.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(.f64 (.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 2 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) x) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 2 binary64) (+.f64 x #s(literal -1 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64))))
(*.f64 #s(literal -2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(.f64 #s(literal -2 binary64) (.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))))
(.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 (.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) x)
(.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))))
(.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(.f64 (/.f64 (.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -2 binary64)))
(neg.f64 (*.f64 x #s(literal -2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) x))

simplify214.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

2126×	`-lowering-.f32`
2126×	`-lowering-.f64`
2060×	`sum3-define`
1780×	`fma-lowering-fma.f32`
1780×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	106	394
1	331	345
2	992	334
3	2914	331
4	5296	331
0	8411	331

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

eval19.0ms (0.3%)

Compiler: Compiled 2958 to 586 computations (80.2% saved)

prune19.0ms (0.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	149	6	155
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	149	7	156

Accuracy

100.0%

Counts

156 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(.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 (.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)))))))))
▶	99.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
	100.0%	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))))
▶	100.0%	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (.f64 x x)))))
✓	100.0%	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
▶	98.2%	x

Compiler

Compiled 191 to 127 computations (33.5% saved)

simplify190.0ms (2.8%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.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)))))))
✓	cost-diff	0	(+.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))))))))
✓	cost-diff	0	(.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)))))))))
✓	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 x)
✓	cost-diff	0	(.f64 #s(literal 1/3 binary64) (.f64 x x))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x)))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
✓	cost-diff	0	(.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))
✓	cost-diff	384	(/.f64 (.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	cost-diff	384	(log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
✓	cost-diff	384	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (.f64 x x)))))

Rules

2542×	`-lowering-.f32`
2542×	`-lowering-.f64`
2182×	`fma-define`
1782×	`fnmadd-define`
1676×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	32	231
1	108	205
2	338	202
3	921	202
4	1896	202
5	3211	202
6	4458	190
7	7732	190
0	8698	190

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize384.0ms (5.7%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/7 binary64))
✓	accuracy	99.7%	(.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)))))))
✓	accuracy	99.6%	(.f64 x (+.f64 #s(literal 1/5 binary64) (.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 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	99.7%	(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64))))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/5 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
✓	accuracy	99.7%	(.f64 #s(literal 1/3 binary64) (.f64 x x))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (.f64 x x)))))
✓	accuracy	100.0%	(/.f64 (.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	accuracy	100.0%	(*.f64 x (+.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

176.0ms	182×	1	valid
127.0ms	64×	5	exit
3.0ms	10×	0	valid

Compiler

Compiled 268 to 32 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 223.0ms

backward-pass: 60.0ms (26.9% of total)

ival-mult: 47.0ms (21.1% of total)

compiled-spec: 34.0ms (15.2% of total)

...c/correct-round.rkt:119:19: 27.0ms (12.1% of total)

ival-log: 26.0ms (11.7% of total)

ival-add: 21.0ms (9.4% of total)

ival-div: 3.0ms (1.3% of total)

ival-sub: 3.0ms (1.3% of total)

const: 1.0ms (0.4% of total)

series12.0ms (0.2%)

Counts

20 → 240

Calls

Call 1

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

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

Calls

60 calls:

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

rewrite351.0ms (5.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3086×	`-lowering-.f32`
3086×	`-lowering-.f64`
2768×	`fma-lowering-fma.f32`
2768×	`fma-lowering-fma.f64`
2116×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	184
1	214	161
2	2050	158
0	8338	158

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 487

Calls

Call 1

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

Outputs
(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (.f64 x x)))))
(.f64 (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal 1/2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(+.f64 (log1p.f64 (.f64 #s(literal 8 binary64) (.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 x x))))))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))))))
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 x x))))))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 8 binary64) (.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))))))
(-.f64 (log1p.f64 (.f64 #s(literal 8 binary64) (.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 x x))))))) (log1p.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))))
(-.f64 (log1p.f64 (.f64 #s(literal 8 binary64) (.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 x x))))))) (log.f64 (+.f64 (.f64 #s(literal 4 binary64) (.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 x x))))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (.f64 x x)))))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 x x))))))) (log1p.f64 (.f64 #s(literal -2 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 8 binary64) (.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 x x))))))))) (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 x x)))))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(-.f64 (log.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 x x))))) #s(literal 1 binary64))) (log.f64 (-.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))))
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 8 binary64) (.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))))))))
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))))))
(log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(neg.f64 (/.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))))
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(/.f64 (.f64 x (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/49 binary64)))) (-.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1/125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64)))) x) (+.f64 #s(literal 1/25 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/7 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/7 binary64)) #s(literal 1/5 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/49 binary64))) x) (-.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/125 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64)))))) (neg.f64 (+.f64 (.f64 (.f64 x #s(literal 1/5 binary64)) (.f64 x #s(literal 1/5 binary64))) (-.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/7 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 1/7 binary64)))) (.f64 (.f64 x #s(literal 1/5 binary64)) (.f64 x (.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x #s(literal 1/5 binary64)) (.f64 x #s(literal 1/5 binary64))) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/7 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 1/7 binary64)))))) (neg.f64 (-.f64 (.f64 x #s(literal 1/5 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 1/7 binary64))))))
(/.f64 (neg.f64 (.f64 x (+.f64 #s(literal 1/125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64)))))) (neg.f64 (+.f64 #s(literal 1/25 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/7 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/7 binary64)) #s(literal 1/5 binary64))))))
(/.f64 (neg.f64 (.f64 x (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/49 binary64))))) (neg.f64 (-.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64)))) x)) (neg.f64 (+.f64 #s(literal 1/25 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/7 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/7 binary64)) #s(literal 1/5 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/49 binary64))) x)) (neg.f64 (-.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))
(.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))
(.f64 (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))) x)
(.f64 x (.f64 x #s(literal 1/7 binary64)))
(.f64 (.f64 x x) #s(literal 1/7 binary64))
(.f64 #s(literal 1/7 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/7 binary64)) x)
(+.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/7 binary64)))))
(+.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/7 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/7 binary64))) x))
(+.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) (.f64 (.f64 (.f64 x x) #s(literal 1/7 binary64)) (.f64 x x)))
(+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/7 binary64))) (.f64 x (.f64 x #s(literal 1/5 binary64))))
(+.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/7 binary64)) (.f64 x x)) (.f64 x (.f64 x #s(literal 1/5 binary64))))
(fma.f64 x (.f64 x #s(literal 1/5 binary64)) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))
(fma.f64 x (.f64 x #s(literal 1/5 binary64)) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))
(fma.f64 x (.f64 x #s(literal 1/5 binary64)) (.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 1/7 binary64))) x))
(fma.f64 x (.f64 x #s(literal 1/5 binary64)) (.f64 (.f64 (.f64 x x) #s(literal 1/7 binary64)) (*.f64 x x)))
(fma.f64 (.f64 x x) #s(literal 1/5 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))
(fma.f64 (.f64 x x) #s(literal 1/5 binary64) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))
(fma.f64 (.f64 x x) #s(literal 1/5 binary64) (.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 1/7 binary64))) x))
(fma.f64 (.f64 x x) #s(literal 1/5 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/7 binary64)) (*.f64 x x)))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/7 binary64)) (.f64 x (*.f64 x #s(literal 1/5 binary64))))
(fma.f64 #s(literal 1/5 binary64) (.f64 x x) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))
(fma.f64 #s(literal 1/5 binary64) (.f64 x x) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))
(fma.f64 #s(literal 1/5 binary64) (.f64 x x) (.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 1/7 binary64))) x))
(fma.f64 #s(literal 1/5 binary64) (.f64 x x) (.f64 (.f64 (.f64 x x) #s(literal 1/7 binary64)) (*.f64 x x)))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/7 binary64)) (.f64 x x) (.f64 x (*.f64 x #s(literal 1/5 binary64))))
(fma.f64 (.f64 x #s(literal 1/5 binary64)) x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))
(fma.f64 (.f64 x #s(literal 1/5 binary64)) x (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))
(fma.f64 (.f64 x #s(literal 1/5 binary64)) x (.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 1/7 binary64))) x))
(fma.f64 (.f64 x #s(literal 1/5 binary64)) x (.f64 (.f64 (.f64 x x) #s(literal 1/7 binary64)) (*.f64 x x)))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64))))) (+.f64 #s(literal 1/25 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/7 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 1/7 binary64)) #s(literal 1/5 binary64)))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/49 binary64)))) (-.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64)))))) (neg.f64 (+.f64 #s(literal 1/25 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/7 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 1/7 binary64)) #s(literal 1/5 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/49 binary64))))) (neg.f64 (-.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))
(.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))
(.f64 (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))) x)

simplify261.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

4662×	`-lowering-.f32`
4662×	`-lowering-.f64`
1700×	`/-lowering-/.f32`
1700×	`/-lowering-/.f64`
1540×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	171	1982
1	582	1620
2	1741	1574
3	7530	1573
0	8005	1573

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

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

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

eval132.0ms (1.9%)

Compiler: Compiled 20671 to 2225 computations (89.2% saved)

prune141.0ms (2.1%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	822	5	827
Fresh	0	1	1
Picked	2	3	5
Done	0	1	1
Total	824	10	834

Accuracy

100.0%

Counts

834 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.0%	(+.f64 (.f64 (.f64 x x) (*.f64 x #s(literal 1/3 binary64))) x)
▶	99.8%	(+.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)
▶	99.5%	(+.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64)))))) x)
	99.8%	(.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))
▶	99.5%	(.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))) (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 1/5 binary64))))))
✓	99.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
▶	100.0%	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))))
✓	100.0%	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (.f64 x x)))))
✓	100.0%	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
✓	98.2%	x

Compiler

Compiled 274 to 171 computations (37.6% saved)

simplify166.0ms (2.5%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.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))))))
✓	cost-diff	0	(.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)))))))
✓	cost-diff	0	(+.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)
✓	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	256	(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/5 binary64)))))
✓	cost-diff	256	(.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))) (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 1/5 binary64))))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64)))))
✓	cost-diff	0	(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64))))))
✓	cost-diff	0	(+.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64)))))) x)
✓	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)
✓	cost-diff	0	(.f64 (.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
✓	cost-diff	0	(/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))
✓	cost-diff	0	(log1p.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))))

Rules

2426×	`-lowering-.f32`
2426×	`-lowering-.f64`
1958×	`sum3-define`
1662×	`fma-define`
1418×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	304
1	140	272
2	405	269
3	1123	269
4	2268	269
5	3322	269
6	5318	269
0	8359	269

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize458.0ms (6.8%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.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)))))))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/7 binary64))
✓	accuracy	99.7%	(.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))))))
✓	accuracy	99.7%	(.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/5 binary64)))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/3 binary64)))
✓	accuracy	99.6%	(*.f64 x #s(literal 1/3 binary64))
✓	accuracy	99.6%	(*.f64 x #s(literal 1/5 binary64))
✓	accuracy	99.9%	(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64))))))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/5 binary64)))
✓	accuracy	99.7%	(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64)))))
✓	accuracy	99.6%	(*.f64 x #s(literal 1/5 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	99.6%	(*.f64 x #s(literal 1/3 binary64))
✓	accuracy	100.0%	(*.f64 x (+.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(log1p.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
✓	accuracy	100.0%	(/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))
✓	accuracy	99.9%	(.f64 x (.f64 x x))

Results

197.0ms	182×	1	valid
130.0ms	64×	5	exit
5.0ms	10×	0	valid

Compiler

Compiled 370 to 40 computations (89.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 215.0ms

ival-mult: 67.0ms (31.2% of total)

backward-pass: 41.0ms (19.1% of total)

compiled-spec: 29.0ms (13.5% of total)

ival-add: 27.0ms (12.6% of total)

ival-log: 22.0ms (10.2% of total)

...c/correct-round.rkt:119:19: 21.0ms (9.8% of total)

ival-div: 4.0ms (1.9% of total)

ival-sub: 3.0ms (1.4% of total)

const: 1.0ms (0.5% of total)

series14.0ms (0.2%)

Counts

24 → 288

Calls

Call 1

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

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

Calls

72 calls:

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

rewrite374.0ms (5.5%)

Algorithm

1×	batch-egg-rewrite

Rules

4008×	`-lowering-.f32`
4008×	`-lowering-.f64`
2726×	`/-lowering-/.f32`
2726×	`/-lowering-/.f64`
1612×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	221
1	276	174
2	2627	174
0	8535	174

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 440

Calls

Call 1

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

Outputs
(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) x)))))
(.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) x)))) #s(literal 1/2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) x)))))
(+.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) x)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) x)))))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) x)))))))
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) x))) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) x))))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) x)))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) x)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) x)))))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) x))) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) x)))))))
(-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) x)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) x)))))) (log1p.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) x)))))
(-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) x)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) x)))))) (log.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) x))) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) x)))))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) x))) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) x))))) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) x))))))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) x)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) x)))))))) (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) x)))))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) x))) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) x)))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) x)))))))
(-.f64 (log.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) x))) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))) (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))))
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) x)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) x)))))))))
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) x))) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) x)))))))
(log1p.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) x))))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(neg.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))
(/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(/.f64 (neg.f64 (.f64 #s(literal -2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (.f64 #s(literal -2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) x))))
(.f64 #s(literal 2 binary64) (.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal 2 binary64) (.f64 (.f64 x (+.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 x x))))))
(.f64 #s(literal 2 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
(.f64 x (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(.f64 (.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (.f64 (.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
(.f64 (.f64 (.f64 #s(literal 2 binary64) x) (+.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 x x)))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))
(.f64 (.f64 #s(literal -2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 2 binary64) x))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 2 binary64) x) (+.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 x x)))))
(.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (+.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 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))
(+.f64 (.f64 #s(literal 2 binary64) x) (.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) x) #s(literal 2 binary64)))
(+.f64 (.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x))
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(/.f64 (.f64 (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/49 binary64))) (.f64 x x)) (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal -1/7 binary64) (.f64 x x))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/125 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (neg.f64 (+.f64 (.f64 #s(literal 1/25 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/7 binary64))))) (.f64 (.f64 (.f64 x x) #s(literal 1/5 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/25 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/5 binary64)) (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 1/7 binary64)))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64)))))) (neg.f64 (+.f64 #s(literal 1/25 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/7 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/7 binary64))) #s(literal 1/5 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/49 binary64))))) (neg.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal -1/7 binary64) (.f64 x x)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64)))) (.f64 x x))) (neg.f64 (+.f64 #s(literal 1/25 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/7 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/7 binary64))) #s(literal 1/5 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/49 binary64))) (.f64 x x))) (neg.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal -1/7 binary64) (.f64 x x)))))
(.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))
(.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))) x)
(.f64 x (.f64 x #s(literal 1/7 binary64)))
(.f64 (.f64 x x) #s(literal 1/7 binary64))
(.f64 #s(literal 1/7 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/7 binary64)) x)

simplify252.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

3068×	`-lowering-.f32`
3068×	`-lowering-.f64`
2064×	`+-lowering-+.f64`
2064×	`+-lowering-+.f32`
1698×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	172	2276
1	582	1899
2	1780	1871
3	5956	1860
0	8564	1860

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

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

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

eval125.0ms (1.9%)

Compiler: Compiled 26035 to 1950 computations (92.5% saved)

prune89.0ms (1.3%)

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	891	1	892
Fresh	0	1	1
Picked	0	5	5
Done	0	4	4
Total	891	11	902

Accuracy

100.0%

Counts

902 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.2%	(-.f64 (/.f64 (.f64 (.f64 x (.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 (.f64 x (.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 (.f64 (.f64 x (.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)) (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 x (.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)))
✓	99.0%	(+.f64 (.f64 (.f64 x x) (*.f64 x #s(literal 1/3 binary64))) x)
✓	99.8%	(+.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)
✓	99.5%	(+.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64)))))) x)
▶	99.8%	(.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))
✓	99.5%	(.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))) (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 1/5 binary64))))))
✓	99.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
✓	100.0%	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))))
✓	100.0%	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (.f64 x x)))))
✓	100.0%	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
✓	98.2%	x

Compiler

Compiled 245 to 118 computations (51.8% saved)

simplify174.0ms (2.6%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 x (.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 (.f64 x (.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)))))))))
✓	cost-diff	128	(/.f64 (.f64 x x) (-.f64 (.f64 (.f64 x (.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))
✓	cost-diff	128	(/.f64 (.f64 (.f64 x (.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 (.f64 x (.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 (.f64 (.f64 x (.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))
✓	cost-diff	1664	(-.f64 (/.f64 (.f64 (.f64 x (.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 (.f64 x (.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 (.f64 (.f64 x (.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)) (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 x (.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)))
✓	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	256	(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))
✓	cost-diff	256	(.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))

Rules

3582×	`-lowering-.f32`
3582×	`-lowering-.f64`
1850×	`fma-lowering-fma.f32`
1850×	`fma-lowering-fma.f64`
1812×	`sum4-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	28	355
1	103	270
2	418	259
3	1904	244
4	4873	240
0	8093	240

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize174.0ms (2.6%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	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 #s(literal 1/7 binary64))
✓	accuracy	97.2%	(/.f64 (.f64 (.f64 x (.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 (.f64 x (.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 (.f64 (.f64 x (.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))
✓	accuracy	52.3%	(/.f64 (.f64 x x) (-.f64 (.f64 (.f64 x (.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))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/3 binary64)))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/7 binary64))
✓	accuracy	99.7%	(.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/3 binary64))

Results

83.0ms

256×

valid

Compiler

Compiled 447 to 29 computations (93.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-mult: 22.0ms (42.4% of total)

...c/correct-round.rkt:119:19: 14.0ms (27% of total)

ival-div: 6.0ms (11.6% of total)

ival-add: 6.0ms (11.6% of total)

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

const: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Counts

13 → 156

Calls

Call 1

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

Outputs
#<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))))))>
#<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 (* 1/3 (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 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 (* -1/9 (pow x 5))>
#<alt (* (pow x 5) (- (* -23/135 (pow x 2)) 1/9))>
#<alt (* (pow x 5) (- (* (pow x 2) (- (* -3037/14175 (pow x 2)) 23/135)) 1/9))>
#<alt (* (pow x 5) (- (* (pow x 2) (- (* (pow x 2) (- (* -7591/42525 (pow x 2)) 3037/14175)) 23/135)) 1/9))>
#<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 x)>
#<alt (* x (- (* -1/3 (pow x 2)) 1))>
#<alt (* x (- (* (pow x 2) (- (* -14/45 (pow x 2)) 1/3)) 1))>
#<alt (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -296/945 (pow x 2)) 14/45)) 1/3)) 1))>
#<alt (/ 7 (pow x 5))>
#<alt (/ (- 7 (* 49/5 (/ 1 (pow x 2)))) (pow x 5))>
#<alt (/ (+ 7 (* -1 (/ (+ 49/5 (* 196/75 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 5))>
#<alt (/ (- (+ 7 (* 28322/375 (/ 1 (pow x 6)))) (+ (* 49/5 (/ 1 (pow x 2))) (/ 196/75 (pow x 4)))) (pow x 5))>
#<alt (/ 7 (pow x 5))>
#<alt (* -1 (/ (- (* 49/5 (/ 1 (pow x 2))) 7) (pow x 5)))>
#<alt (* -1 (/ (- (+ (* 49/5 (/ 1 (pow x 2))) (/ 196/75 (pow x 4))) 7) (pow x 5)))>
#<alt (* -1 (/ (- (+ (* 49/5 (/ 1 (pow x 2))) (/ 196/75 (pow x 4))) (+ 7 (* 28322/375 (/ 1 (pow x 6))))) (pow x 5)))>
#<alt (* 1/9 (pow x 6))>
#<alt (* (pow x 6) (+ 1/9 (* 2/15 (pow x 2))))>
#<alt (* (pow x 6) (+ 1/9 (* (pow x 2) (+ 2/15 (* 71/525 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/9 (* (pow x 2) (+ 2/15 (* (pow x 2) (+ 71/525 (* 2/35 (pow x 2))))))))>
#<alt (* 1/49 (pow x 14))>
#<alt (* (pow x 14) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))>
#<alt (* (pow x 14) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))>
#<alt (* (pow x 14) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6)))))))>
#<alt (* 1/49 (pow x 14))>
#<alt (* (pow x 14) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))>
#<alt (* (pow x 14) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))>
#<alt (* (pow x 14) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6)))))))>
#<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 (* 1/5 (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 (* 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 (* 1/5 (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)))))>

Calls

39 calls:

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

rewrite420.0ms (6.2%)

Algorithm

1×	batch-egg-rewrite

Rules

4878×	`-lowering-.f32`
4878×	`-lowering-.f64`
2428×	`/-lowering-/.f32`
2428×	`/-lowering-/.f64`
2026×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	225
1	212	139
2	2085	137
0	8314	137

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 379

Calls

Call 1

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

Outputs
(+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x)))) (.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))))
(+.f64 (.f64 x (.f64 (.f64 x x) (.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 #s(literal 1/3 binary64) (.f64 x x)))))
(+.f64 (.f64 x #s(literal 1 binary64)) (.f64 (.f64 x (.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 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 x (.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))))))))
(fma.f64 x #s(literal 1 binary64) (.f64 (.f64 x (.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))))))))
(fma.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64))))))))
(fma.f64 x (.f64 (.f64 x x) (.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 #s(literal 1/3 binary64) (*.f64 x x)))))
(fma.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))) (.f64 x (.f64 x x))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
(fma.f64 #s(literal 1 binary64) x (.f64 (.f64 x (.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))))))))
(fma.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x))) x (.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64))))))))
(fma.f64 (.f64 x x) (.f64 x (.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 #s(literal 1/3 binary64) (*.f64 x x)))))
(fma.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (.f64 x (.f64 x x))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
(fma.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (.f64 (.f64 x x) (.f64 x (.f64 x x))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
(fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))) x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
(fma.f64 (.f64 x (.f64 x x)) (.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 #s(literal 1/3 binary64) (*.f64 x x)))))
(fma.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))) (.f64 x (.f64 x x)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
(fma.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))) (.f64 x x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
(fma.f64 (.f64 (.f64 x x) (.f64 x (.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 #s(literal 1/3 binary64) (*.f64 x x)))))
(fma.f64 (.f64 x (.f64 x (.f64 x (.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 #s(literal 1/3 binary64) (*.f64 x x)))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x)))))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))))) (+.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x))))) (-.f64 (.f64 (.f64 x (.f64 (.f64 x x) (.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 (.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 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x)))) (.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))))
(/.f64 (-.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x))))) (.f64 (.f64 x (.f64 (.f64 x x) (.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 (.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 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x)))) (.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))))
(/.f64 (.f64 x (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x))))) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))))) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))) (-.f64 (.f64 (.f64 x x) (.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 #s(literal 1/3 binary64) (*.f64 x x)))))))
(/.f64 (.f64 x (.f64 (+.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)))))))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))))
(/.f64 (.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x))))) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))) x) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))) (-.f64 (.f64 (.f64 x x) (.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 #s(literal 1/3 binary64) (*.f64 x x)))))))
(/.f64 (.f64 (.f64 (+.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)))))))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))) x) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 (.f64 x x) (.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)))))))))
(.f64 (+.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)))))))) 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))))))))
(+.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))
(+.f64 (.f64 (.f64 x x) (.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 #s(literal 1/3 binary64) (.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))
(+.f64 (+.f64 (.f64 (.f64 x x) (.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 1/3 binary64) (.f64 x x)))
(-.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x)))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))) (/.f64 (.f64 x (.f64 (.f64 x (.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 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))))
(fma.f64 x (.f64 x #s(literal 1/3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64))))))))
(fma.f64 x (.f64 x (.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 #s(literal 1/3 binary64) (*.f64 x x))))
(fma.f64 x (+.f64 (.f64 x #s(literal 1/3 binary64)) (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) #s(literal 1 binary64))
(fma.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))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))))
(fma.f64 #s(literal 1/3 binary64) (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64))))))))
(fma.f64 (.f64 x #s(literal 1/3 binary64)) x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64))))))))
(fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))))
(fma.f64 (.f64 x x) #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64))))))))
(fma.f64 (.f64 x x) (.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 #s(literal 1/3 binary64) (*.f64 x x))))
(fma.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))
(fma.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(fma.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))) (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(fma.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 x) #s(literal 1 binary64))
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(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))
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(fma.f64 #s(literal 1/7 binary64) (.f64 x (.f64 x (.f64 x x))) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/7 binary64)) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))
(fma.f64 (.f64 x #s(literal 1/7 binary64)) (.f64 x (.f64 x x)) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))
(fma.f64 (.f64 x (.f64 x #s(literal 1/7 binary64))) (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/7 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))
(fma.f64 (.f64 #s(literal 1/5 binary64) x) x (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/7 binary64))))))
(fma.f64 (.f64 (.f64 x (.f64 x #s(literal 1/7 binary64))) x) x (.f64 (*.f64 x x) #s(literal 1/5 binary64)))
(fma.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/7 binary64))) x (.f64 (*.f64 x x) #s(literal 1/5 binary64)))
(/.f64 (+.f64 (.f64 #s(literal 1/125 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1/343 binary64))) (+.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/5 binary64)) (.f64 (.f64 x x) #s(literal 1/5 binary64))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/7 binary64))))) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/7 binary64)))))) (.f64 (.f64 (.f64 x x) #s(literal 1/5 binary64)) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/5 binary64)) (.f64 (.f64 x x) #s(literal 1/5 binary64))) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/7 binary64))))) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (-.f64 (.f64 (.f64 x x) #s(literal 1/5 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/7 binary64)))))))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64))))) (+.f64 #s(literal 1/25 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/7 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/7 binary64))) #s(literal 1/5 binary64)))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/49 binary64)))) (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal -1/7 binary64) (.f64 x x))))
(/.f64 (.f64 (+.f64 #s(literal 1/125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64)))) (.f64 x x)) (+.f64 #s(literal 1/25 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/7 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/7 binary64))) #s(literal 1/5 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/49 binary64))) (.f64 x x)) (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal -1/7 binary64) (.f64 x x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))
(.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))) x)
(.f64 x (.f64 x #s(literal 1/7 binary64)))
(.f64 (.f64 x x) #s(literal 1/7 binary64))
(.f64 #s(literal 1/7 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/7 binary64)) x)
(*.f64 x #s(literal 1/7 binary64))
(*.f64 #s(literal 1/7 binary64) x)
(+.f64 (.f64 (.f64 x x) #s(literal 1/5 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/7 binary64))))))
(+.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/7 binary64))))) (.f64 (.f64 x x) #s(literal 1/5 binary64)))
(fma.f64 x (.f64 x #s(literal 1/5 binary64)) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/7 binary64))))))
(fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/7 binary64)))) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))
(fma.f64 x (.f64 (.f64 x #s(literal 1/7 binary64)) (.f64 x x)) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))
(fma.f64 (.f64 x x) #s(literal 1/5 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/7 binary64))))))
(fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/7 binary64))) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))
(fma.f64 #s(literal 1/5 binary64) (.f64 x x) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/7 binary64))))))
(fma.f64 #s(literal 1/7 binary64) (.f64 x (.f64 x (.f64 x x))) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/7 binary64)) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))
(fma.f64 (.f64 x #s(literal 1/7 binary64)) (.f64 x (.f64 x x)) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))
(fma.f64 (.f64 x (.f64 x #s(literal 1/7 binary64))) (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/7 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))
(fma.f64 (.f64 #s(literal 1/5 binary64) x) x (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/7 binary64))))))
(fma.f64 (.f64 (.f64 x (.f64 x #s(literal 1/7 binary64))) x) x (.f64 (*.f64 x x) #s(literal 1/5 binary64)))
(fma.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/7 binary64))) x (.f64 (*.f64 x x) #s(literal 1/5 binary64)))
(/.f64 (+.f64 (.f64 #s(literal 1/125 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1/343 binary64))) (+.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/5 binary64)) (.f64 (.f64 x x) #s(literal 1/5 binary64))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/7 binary64))))) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/7 binary64)))))) (.f64 (.f64 (.f64 x x) #s(literal 1/5 binary64)) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/5 binary64)) (.f64 (.f64 x x) #s(literal 1/5 binary64))) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/7 binary64))))) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (-.f64 (.f64 (.f64 x x) #s(literal 1/5 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/7 binary64)))))))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64))))) (+.f64 #s(literal 1/25 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/7 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/7 binary64))) #s(literal 1/5 binary64)))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/49 binary64)))) (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal -1/7 binary64) (.f64 x x))))
(/.f64 (.f64 (+.f64 #s(literal 1/125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64)))) (.f64 x x)) (+.f64 #s(literal 1/25 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/7 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/7 binary64))) #s(literal 1/5 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/49 binary64))) (.f64 x x)) (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal -1/7 binary64) (.f64 x x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))
(.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))) x)

simplify284.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

4092×	`-lowering-.f32`
4092×	`-lowering-.f64`
3322×	`+-lowering-+.f64`
3322×	`+-lowering-+.f32`
1546×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	173	1451
1	530	1249
2	1553	1225
3	4897	1216
0	8339	1216

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 (* (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)))))))
1
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
1
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* 1/3 (pow x 2)))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (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)))))))
(* -1/9 (pow x 5))
(* (pow x 5) (- (* -23/135 (pow x 2)) 1/9))
(* (pow x 5) (- (* (pow x 2) (- (* -3037/14175 (pow x 2)) 23/135)) 1/9))
(* (pow x 5) (- (* (pow x 2) (- (* (pow x 2) (- (* -7591/42525 (pow x 2)) 3037/14175)) 23/135)) 1/9))
(* 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)))))))
(* -1 x)
(* x (- (* -1/3 (pow x 2)) 1))
(* x (- (* (pow x 2) (- (* -14/45 (pow x 2)) 1/3)) 1))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -296/945 (pow x 2)) 14/45)) 1/3)) 1))
(/ 7 (pow x 5))
(/ (- 7 (* 49/5 (/ 1 (pow x 2)))) (pow x 5))
(/ (+ 7 (* -1 (/ (+ 49/5 (* 196/75 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 5))
(/ (- (+ 7 (* 28322/375 (/ 1 (pow x 6)))) (+ (* 49/5 (/ 1 (pow x 2))) (/ 196/75 (pow x 4)))) (pow x 5))
(/ 7 (pow x 5))
(* -1 (/ (- (* 49/5 (/ 1 (pow x 2))) 7) (pow x 5)))
(* -1 (/ (- (+ (* 49/5 (/ 1 (pow x 2))) (/ 196/75 (pow x 4))) 7) (pow x 5)))
(* -1 (/ (- (+ (* 49/5 (/ 1 (pow x 2))) (/ 196/75 (pow x 4))) (+ 7 (* 28322/375 (/ 1 (pow x 6))))) (pow x 5)))
(* 1/9 (pow x 6))
(* (pow x 6) (+ 1/9 (* 2/15 (pow x 2))))
(* (pow x 6) (+ 1/9 (* (pow x 2) (+ 2/15 (* 71/525 (pow x 2))))))
(* (pow x 6) (+ 1/9 (* (pow x 2) (+ 2/15 (* (pow x 2) (+ 71/525 (* 2/35 (pow x 2))))))))
(* 1/49 (pow x 14))
(* (pow x 14) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))
(* (pow x 14) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))
(* (pow x 14) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6)))))))
(* 1/49 (pow x 14))
(* (pow x 14) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))
(* (pow x 14) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))
(* (pow x 14) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6)))))))
(* 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)
(* 1/5 (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))
(* 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)
(* 1/5 (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)))))

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

eval133.0ms (2%)

Compiler: Compiled 57707 to 1749 computations (97% saved)

prune118.0ms (1.7%)

Pruning

14 alts after pruning (4 fresh and 10 done)

	Pruned	Kept	Total
New	687	4	691
Fresh	0	0	0
Picked	1	1	2
Done	0	9	9
Total	688	14	702

Accuracy

100.0%

Counts

702 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.2%	(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) x) (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64))))) (-.f64 (.f64 (.f64 x (.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)) (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 x (.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)))
	52.2%	(-.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal -1/9 binary64) (.f64 (.f64 x x) #s(literal -23/135 binary64)))) (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 x (.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)))
✓	99.0%	(+.f64 (.f64 (.f64 x x) (*.f64 x #s(literal 1/3 binary64))) x)
✓	99.8%	(+.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)
✓	99.5%	(+.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64)))))) x)
	99.8%	(.f64 x (+.f64 (/.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))
	99.8%	(.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 (.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))
✓	99.8%	(.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))
✓	99.5%	(.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))) (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 1/5 binary64))))))
✓	99.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
✓	100.0%	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))))
✓	100.0%	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (.f64 x x)))))
✓	100.0%	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
✓	98.2%	x

Compiler

Compiled 828 to 300 computations (63.8% saved)

regimes24.0ms (0.4%)

Counts

17 → 1

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(+.f64 (.f64 (.f64 x x) (*.f64 x #s(literal 1/3 binary64))) 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 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64)))))) x)
(.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))) (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 1/5 binary64))))))
(.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)))))))))
(+.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 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))
(.f64 x (+.f64 (/.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1 binary64))) (.f64 (.f64 x x) (.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 x (.f64 x x))) x) (+.f64 #s(literal -1/9 binary64) (.f64 (.f64 x x) #s(literal -23/135 binary64)))) (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 x (.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)))
(.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 (.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x))))) (.f64 (.f64 x 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 (.f64 x (.f64 x (.f64 x x))) x) x) (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64))))) (-.f64 (.f64 (.f64 x (.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)) (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 x (.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)))
(-.f64 (/.f64 (.f64 (.f64 x (.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 (.f64 x (.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 (.f64 (.f64 x (.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)) (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 x (.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)))
(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (.f64 x x)))))
(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))))

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

Calls

4 calls:

6.0ms	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
5.0ms	(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
5.0ms	(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
5.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
100.0%	1	`(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
100.0%	1	`(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes6.0ms (0.1%)

Counts

14 → 1

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(+.f64 (.f64 (.f64 x x) (*.f64 x #s(literal 1/3 binary64))) 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 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64)))))) x)
(.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))) (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 1/5 binary64))))))
(.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)))))))))
(+.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 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))
(.f64 x (+.f64 (/.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1 binary64))) (.f64 (.f64 x x) (.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 x (.f64 x x))) x) (+.f64 #s(literal -1/9 binary64) (.f64 (.f64 x x) #s(literal -23/135 binary64)))) (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 x (.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)))
(.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 (.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x))))) (.f64 (.f64 x 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 (.f64 x (.f64 x (.f64 x x))) x) x) (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64))))) (-.f64 (.f64 (.f64 x (.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)) (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 x (.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)))
(-.f64 (/.f64 (.f64 (.f64 x (.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 (.f64 x (.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 (.f64 (.f64 x (.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)) (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 x (.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)))

Outputs
(+.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)

Calls

1 calls:

4.0ms

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

Outputs
(.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)))))))))

Calls

1 calls:

3.0ms

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

4 → 1

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(+.f64 (.f64 (.f64 x x) (*.f64 x #s(literal 1/3 binary64))) 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
99.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
99.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

44×	`*-commutative_binary64`
26×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	101
1	80	101
2	84	101
3	86	101
4	87	101

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(+.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 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)))))))))
(+.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64)))))) 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 (.f64 (.f64 x x) (*.f64 x #s(literal 1/3 binary64))) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
x

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

soundness1.1s (16.1%)

Rules

3086×	`-lowering-.f32`
3086×	`-lowering-.f64`
2768×	`fma-lowering-fma.f32`
2768×	`fma-lowering-fma.f64`
2126×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	184
1	214	161
2	2050	158
0	8338	158
0	106	394
1	331	345
2	992	334
3	2914	331
4	5296	331
0	8411	331

Stop Event

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

Compiler

Compiled 227 to 123 computations (45.8% saved)

preprocess57.0ms (0.8%)

Compiler: Compiled 226 to 104 computations (54% saved)

Iter	Nodes	Cost
0	5	9
1	11	9
2	15	9
3	18	9
4	30	9
5	37	9
6	46	9
7	52	9
0	10	10
1	20	10
2	28	10
3	37	10
4	47	10
5	66	10
6	111	10
7	188	10
8	360	10
9	461	10
10	528	10
11	542	10
12	651	10
0	651	10

Iter	Nodes	Cost
0	10	35
1	20	35
2	28	35
3	37	35
4	47	35
5	66	35
6	111	35
7	188	35
8	360	35
9	461	35
10	528	35
11	542	35
12	651	35
0	651	35

Iter	Nodes	Cost
0	5	9
1	11	9
2	15	9
3	18	9
4	30	9
5	37	9
6	46	9
7	52	9
0	10	10
1	20	10
2	28	10
3	37	10
4	47	10
5	66	10
6	111	10
7	188	10
8	360	10
9	461	10
10	528	10
11	542	10
12	651	10
0	651	10

Iter	Nodes	Cost
0	10	35
1	20	35
2	28	35
3	37	35
4	47	35
5	66	35
6	111	35
7	188	35
8	360	35
9	461	35
10	528	35
11	542	35
12	651	35
0	651	35

analyze2.0ms (0%)

sample420.0ms (6.2%)

preprocess28.0ms (0.4%)

explain229.0ms (3.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify49.0ms (0.7%)

localize104.0ms (1.5%)

series5.0ms (0.1%)

rewrite223.0ms (3.3%)

simplify214.0ms (3.2%)

eval19.0ms (0.3%)

prune19.0ms (0.3%)

simplify190.0ms (2.8%)

localize384.0ms (5.7%)

series12.0ms (0.2%)

rewrite351.0ms (5.2%)

simplify261.0ms (3.8%)

eval132.0ms (1.9%)

prune141.0ms (2.1%)

simplify166.0ms (2.5%)

localize458.0ms (6.8%)

series14.0ms (0.2%)

rewrite374.0ms (5.5%)

simplify252.0ms (3.7%)

eval125.0ms (1.9%)

prune89.0ms (1.3%)

simplify174.0ms (2.6%)

localize174.0ms (2.6%)

series7.0ms (0.1%)

rewrite420.0ms (6.2%)

simplify284.0ms (4.2%)

eval133.0ms (2%)

prune118.0ms (1.7%)

regimes24.0ms (0.4%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

simplify10.0ms (0.1%)

soundness1.1s (16.1%)

preprocess57.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	5	9
1	11	9
2	15	9
3	18	9
4	30	9
5	37	9
6	46	9
7	52	9
0	10	10
1	20	10
2	28	10
3	37	10
4	47	10
5	66	10
6	111	10
7	188	10
8	360	10
9	461	10
10	528	10
11	542	10
12	651	10
0	651	10

Iter	Nodes	Cost
0	10	35
1	20	35
2	28	35
3	37	35
4	47	35
5	66	35
6	111	35
7	188	35
8	360	35
9	461	35
10	528	35
11	542	35
12	651	35
0	651	35