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)

sample455.0ms (5.6%)

Results

319.0ms	8256×	0	valid
0.0ms	2×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-atanh: 68.0ms (86.3% of total)

const: 7.0ms (8.9% of total)

backward-pass: 3.0ms (3.8% of total)

Bogosity

preprocess38.0ms (0.5%)

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)))

explain338.0ms (4.1%)

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

210.0ms	384×	1	valid
84.0ms	114×	5	exit
3.0ms	14×	0	valid

Compiler

Compiled 85 to 29 computations (65.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 199.0ms

compiled-spec: 75.0ms (37.6% of total)

ival-log: 47.0ms (23.6% of total)

backward-pass: 27.0ms (13.6% of total)

ival-add: 18.0ms (9% of total)

ival-mult: 16.0ms (8% of total)

ival-div: 8.0ms (4% of total)

ival-sub: 6.0ms (3% of total)

const: 3.0ms (1.5% 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)

simplify20.0ms (0.2%)

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)

localize136.0ms (1.7%)

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%	(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))

Results

71.0ms	192×	1	valid
39.0ms	57×	5	exit
1.0ms	7×	0	valid

Compiler

Compiled 37 to 10 computations (73% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

compiled-spec: 32.0ms (34.9% of total)

ival-log: 22.0ms (24% of total)

backward-pass: 18.0ms (19.6% of total)

ival-mult: 8.0ms (8.7% of total)

ival-div: 4.0ms (4.4% of total)

ival-sub: 3.0ms (3.3% of total)

ival-add: 3.0ms (3.3% of total)

const: 1.0ms (1.1% 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)

rewrite260.0ms (3.2%)

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))

simplify213.0ms (2.6%)

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))

eval26.0ms (0.3%)

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

prune19.0ms (0.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	150	5	155
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	150	6	156

Accuracy

100.0%

Counts

156 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(.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))))))
▶	99.5%	(.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))))
▶	8.4%	(*.f64 #s(literal 1/2 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)))))))
✓	100.0%	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
▶	98.6%	x

Compiler

Compiled 143 to 97 computations (32.2% saved)

simplify168.0ms (2.1%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x))))
✓	cost-diff	0	(*.f64 #s(literal 1/2 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)))))))
✓	cost-diff	128	(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)))))
✓	cost-diff	192	(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))))))
✓	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 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)))))))))

Rules

2084×	`sum4-define`
2070×	`fma-define`
2016×	`sum3-define`
1784×	`fma-lowering-fma.f32`
1784×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	241
1	108	203
2	332	200
3	897	200
4	1825	200
5	3061	200
6	3437	200
7	3939	200
8	6956	200
0	8136	200

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize448.0ms (5.5%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x))))
✓	accuracy	100.0%	(/.f64 (-.f64 #s(literal 1 binary64) x) x)
✓	accuracy	99.4%	(/.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x))
✓	accuracy	8.4%	(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)))))
✓	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) #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	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	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	99.5%	(.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))

Results

248.0ms	187×	1	valid
123.0ms	61×	2	valid
16.0ms	8×	0	valid

Compiler

Compiled 277 to 33 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 192.0ms

ival-mult: 44.0ms (22.9% of total)

ival-log: 42.0ms (21.9% of total)

...c/correct-round.rkt:119:19: 32.0ms (16.7% of total)

backward-pass: 28.0ms (14.6% of total)

ival-add: 23.0ms (12% of total)

ival-div: 15.0ms (7.8% of total)

ival-sub: 3.0ms (1.6% of total)

ival-neg: 3.0ms (1.6% of total)

const: 1.0ms (0.5% of total)

series15.0ms (0.2%)

Counts

21 → 252

Calls

Call 1

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

Calls

63 calls:

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

rewrite341.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2924×	`-lowering-.f32`
2924×	`-lowering-.f64`
2524×	`/-lowering-/.f32`
2524×	`/-lowering-/.f64`
2508×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	191
1	222	157
2	2036	154
0	8402	154

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 562

Calls

Call 1

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

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

simplify259.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

3048×	`-lowering-.f32`
3048×	`-lowering-.f64`
2164×	`/-lowering-/.f32`
2164×	`/-lowering-/.f64`
2008×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	229	2128
1	756	1777
2	2156	1738
3	7191	1736
0	8032	1736

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

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

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) (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 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 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* 1/7 (pow x 7))
(*.f64 #s(literal 1/7 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (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 (+.f64 (/.f64 (+.f64 #s(literal -1/5 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (*.f64 x x)) #s(literal -1/7 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 7 binary64))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #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 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))
(*.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 (.f64 x 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 (.f64 x 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 (.f64 x 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 (.f64 x 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 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) (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 (.f64 x 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 (.f64 x 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 (.f64 x 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 (.f64 x x) (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(* 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 (* 1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(* 1/3 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(* 1/3 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
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 (* 1/3 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(+ 1 (* 1/3 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 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))))))
(* 1/5 (pow x 5))
(*.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(* 1/5 (pow x 5))
(*.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/5 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x) x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/5 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) 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 (* 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)))))
(* 1/5 (pow x 4))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/5 binary64)))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
(* 1/5 (pow x 4))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/5 binary64)))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
(* 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 (* 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 (* 1/5 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64))))
(* 1/5 (pow x 4))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/5 binary64)))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
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x
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1/3
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eval154.0ms (1.9%)

Compiler: Compiled 22575 to 2880 computations (87.2% saved)

prune88.0ms (1.1%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	895	7	902
Fresh	0	0	0
Picked	3	2	5
Done	0	1	1
Total	898	10	908

Accuracy

100.0%

Counts

908 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.0%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (.f64 x (.f64 x x))))) (-.f64 x (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (.f64 x (*.f64 x x)))))
▶	99.5%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))))))) 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 x (.f64 x #s(literal 1/7 binary64))))))))))
▶	99.5%	(+.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (.f64 x (*.f64 x x))) x)
▶	99.3%	(+.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))) x)
▶	99.0%	(+.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64))) x)
	99.4%	(*.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) #s(literal 1/2 binary64))
	99.5%	(.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))) #s(literal 1 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 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
✓	98.6%	x

Compiler

Compiled 589 to 211 computations (64.2% saved)

simplify257.0ms (3.1%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (.f64 x (*.f64 x x))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	128	(-.f64 (.f64 x x) (.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (.f64 x (.f64 x x)))))
✓	cost-diff	2688	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (.f64 x (.f64 x x))))) (-.f64 x (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (.f64 x (*.f64 x x)))))
✓	cost-diff	0	(.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))
✓	cost-diff	0	(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))
✓	cost-diff	0	(.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (.f64 x (*.f64 x x)))
✓	cost-diff	0	(+.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (.f64 x (*.f64 x x))) x)
✓	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 x (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))))
✓	cost-diff	0	(+.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))) x)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal 1/3 binary64))
✓	cost-diff	0	(.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64)))
✓	cost-diff	0	(+.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64))) x)
✓	cost-diff	0	(.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64))))))))))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))))
✓	cost-diff	0	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))))))) x)
✓	cost-diff	0	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))))))) 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 x (.f64 x #s(literal 1/7 binary64))))))))))

Rules

3388×	`-lowering-.f32`
3388×	`-lowering-.f64`
2140×	`sum3-define`
1942×	`fma-define`
1830×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	34	527
1	130	409
2	519	404
3	2580	402
4	7658	402
0	8511	402

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize295.0ms (3.6%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 x (.f64 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	99.5%	(.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64)))))
✓	accuracy	55.5%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (.f64 x (.f64 x x))))) (-.f64 x (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (.f64 x (*.f64 x x)))))
✓	accuracy	99.8%	(.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (.f64 x (*.f64 x x)))
✓	accuracy	99.8%	(.f64 x (.f64 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	99.5%	(.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 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	99.8%	(.f64 x (.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	99.7%	(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64))))
✓	accuracy	100.0%	(+.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64))) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64)))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/3 binary64))
✓	accuracy	99.8%	(.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 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 x (.f64 x #s(literal 1/7 binary64))))))))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/7 binary64))
✓	accuracy	99.5%	(.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64)))))

Results

189.0ms

256×

valid

Compiler

Compiled 725 to 35 computations (95.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-mult: 28.0ms (50.6% of total)

...c/correct-round.rkt:119:19: 11.0ms (19.9% of total)

ival-add: 7.0ms (12.7% of total)

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

ival-div: 3.0ms (5.4% of total)

const: 0.0ms (0% of total)

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

series17.0ms (0.2%)

Counts

23 → 276

Calls

Call 1

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

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 x>
#<alt (* x (+ 1 (* -1/9 (pow x 4))))>
#<alt (* x (+ 1 (* (pow x 4) (- (* -2/15 (pow x 2)) 1/9))))>
#<alt (* x (+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -71/525 (pow x 2)) 2/15)) 1/9))))>
#<alt (* -1/49 (pow x 13))>
#<alt (* -1 (* (pow x 13) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))>
#<alt (* (pow x 13) (- (* -1 (/ (+ 2/35 (* 71/525 (/ 1 (pow x 2)))) (pow x 2))) 1/49))>
#<alt (* (pow x 13) (- (* -1 (/ (+ 71/525 (* 2/15 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))>
#<alt (* -1/49 (pow x 13))>
#<alt (* -1 (* (pow x 13) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 13) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* (pow x 13) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6))))))))>
#<alt 1>
#<alt (+ 1 (* -1/9 (pow x 4)))>
#<alt (+ 1 (* (pow x 4) (- (* -2/15 (pow x 2)) 1/9)))>
#<alt (+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -71/525 (pow x 2)) 2/15)) 1/9)))>
#<alt (* -1/49 (pow x 12))>
#<alt (* -1 (* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 2/35 (* 71/525 (/ 1 (pow x 2)))) (pow x 2))) 1/49))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 71/525 (* 2/15 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))>
#<alt (* -1/49 (pow x 12))>
#<alt (* -1 (* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 2/35 (* 71/525 (/ 1 (pow x 2)))) (pow x 2))) 1/49))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 71/525 (* 2/15 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))>
#<alt (* 1/9 (pow x 4))>
#<alt (* (pow x 4) (+ 1/9 (* 2/15 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/9 (* (pow x 2) (+ 2/15 (* 71/525 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/9 (* (pow x 2) (+ 2/15 (* (pow x 2) (+ 71/525 (* 2/35 (pow x 2))))))))>
#<alt (* 1/49 (pow x 12))>
#<alt (* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6)))))))>
#<alt (* 1/49 (pow x 12))>
#<alt (* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6)))))))>
#<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 (* 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 (* 1/3 (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 (* (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>
#<alt (+ 1/3 (* 1/5 (pow x 2)))>
#<alt (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))>
#<alt (+ 1/3 (* (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 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 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 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (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 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 (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1/9 (pow x 4))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 4) (- (* -2/15 (pow x 2)) 1/9))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -71/525 (pow x 2)) 2/15)) 1/9))))>
#<alt (* -1/49 (pow x 14))>
#<alt (* -1 (* (pow x 14) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))>
#<alt (* (pow x 14) (- (* -1 (/ (+ 2/35 (* 71/525 (/ 1 (pow x 2)))) (pow x 2))) 1/49))>
#<alt (* (pow x 14) (- (* -1 (/ (+ 71/525 (* 2/15 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))>
#<alt (* -1/49 (pow x 14))>
#<alt (* -1 (* (pow x 14) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))>
#<alt (* (pow x 14) (- (* -1 (/ (+ 2/35 (* 71/525 (/ 1 (pow x 2)))) (pow x 2))) 1/49))>
#<alt (* (pow x 14) (- (* -1 (/ (+ 71/525 (* 2/15 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))>
#<alt (* 1/9 (pow x 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 (* 1/5 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 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/5 (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)))))>

Calls

69 calls:

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

rewrite497.0ms (6.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3118×	`-lowering-.f32`
3118×	`-lowering-.f64`
2720×	`/-lowering-/.f32`
2720×	`/-lowering-/.f64`
2488×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	329
1	258	225
2	2485	223
0	8437	223

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 772

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))))) (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))) (.f64 x (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))) (.f64 x (.f64 x x))))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))))))
(neg.f64 (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))) (.f64 x (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))) (.f64 x (.f64 x x))))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))))))
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))))))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))) (.f64 x (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))) (.f64 x (.f64 x 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 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))) (.f64 x (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))) (.f64 x (.f64 x x)))))) (neg.f64 x)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64))))))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.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 x (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))) (.f64 x (.f64 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))))))) (.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))))))) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))) (.f64 x (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))) (.f64 x (.f64 x x))))))))) x) (.f64 (+.f64 #s(literal 1 binary64) (.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 x (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))) (.f64 x (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))) (.f64 x (.f64 x 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 (-.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))))))) (.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))))))) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))) (.f64 x (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))) (.f64 x (.f64 x x)))))))) x) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))) (.f64 x (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))) (.f64 x (.f64 x 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 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))) (.f64 x (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))) (.f64 x (.f64 x x)))))) (neg.f64 x))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))))))
(/.f64 (.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))) (.f64 x (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))) (.f64 x (.f64 x x))))))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))
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(/.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64))))) (.f64 (-.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64)))) (.f64 #s(literal 1/25 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (-.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64)))) (-.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/125 binary64)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/5 binary64))) #s(literal 1/3 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/25 binary64) (.f64 x (.f64 x (.f64 x x))))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/25 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/9 binary64))) (neg.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) #s(literal 1/3 binary64))))
(pow.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) #s(literal 1/3 binary64)))) (+.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/125 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64)))) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/25 binary64) (.f64 x (.f64 x (.f64 x x)))))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/125 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) #s(literal 1/3 binary64))))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/25 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64))))))

simplify317.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

4230×	`-lowering-.f32`
4230×	`-lowering-.f64`
1870×	`fma-define`
1846×	`+-lowering-+.f64`
1846×	`+-lowering-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	186	2733
1	648	2343
2	2122	2279
3	7094	2276
0	8031	2276

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

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)))))))
x
(* x (+ 1 (* -1/9 (pow x 4))))
(* x (+ 1 (* (pow x 4) (- (* -2/15 (pow x 2)) 1/9))))
(* x (+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -71/525 (pow x 2)) 2/15)) 1/9))))
(* -1/49 (pow x 13))
(* -1 (* (pow x 13) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))
(* (pow x 13) (- (* -1 (/ (+ 2/35 (* 71/525 (/ 1 (pow x 2)))) (pow x 2))) 1/49))
(* (pow x 13) (- (* -1 (/ (+ 71/525 (* 2/15 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))
(* -1/49 (pow x 13))
(* -1 (* (pow x 13) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))
(* -1 (* (pow x 13) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 13) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6))))))))
1
(+ 1 (* -1/9 (pow x 4)))
(+ 1 (* (pow x 4) (- (* -2/15 (pow x 2)) 1/9)))
(+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -71/525 (pow x 2)) 2/15)) 1/9)))
(* -1/49 (pow x 12))
(* -1 (* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))
(* (pow x 12) (- (* -1 (/ (+ 2/35 (* 71/525 (/ 1 (pow x 2)))) (pow x 2))) 1/49))
(* (pow x 12) (- (* -1 (/ (+ 71/525 (* 2/15 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))
(* -1/49 (pow x 12))
(* -1 (* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))
(* (pow x 12) (- (* -1 (/ (+ 2/35 (* 71/525 (/ 1 (pow x 2)))) (pow x 2))) 1/49))
(* (pow x 12) (- (* -1 (/ (+ 71/525 (* 2/15 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))
(* 1/9 (pow x 4))
(* (pow x 4) (+ 1/9 (* 2/15 (pow x 2))))
(* (pow x 4) (+ 1/9 (* (pow x 2) (+ 2/15 (* 71/525 (pow x 2))))))
(* (pow x 4) (+ 1/9 (* (pow x 2) (+ 2/15 (* (pow x 2) (+ 71/525 (* 2/35 (pow x 2))))))))
(* 1/49 (pow x 12))
(* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))
(* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))
(* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6)))))))
(* 1/49 (pow x 12))
(* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))
(* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))
(* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6)))))))
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))
(* 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)))
(* 1/3 (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 (* (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
(+ 1/3 (* 1/5 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))
(+ 1/3 (* (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 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 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 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (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)))))
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)))))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1/9 (pow x 4))))
(* (pow x 2) (+ 1 (* (pow x 4) (- (* -2/15 (pow x 2)) 1/9))))
(* (pow x 2) (+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -71/525 (pow x 2)) 2/15)) 1/9))))
(* -1/49 (pow x 14))
(* -1 (* (pow x 14) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))
(* (pow x 14) (- (* -1 (/ (+ 2/35 (* 71/525 (/ 1 (pow x 2)))) (pow x 2))) 1/49))
(* (pow x 14) (- (* -1 (/ (+ 71/525 (* 2/15 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))
(* -1/49 (pow x 14))
(* -1 (* (pow x 14) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))
(* (pow x 14) (- (* -1 (/ (+ 2/35 (* 71/525 (/ 1 (pow x 2)))) (pow x 2))) 1/49))
(* (pow x 14) (- (* -1 (/ (+ 71/525 (* 2/15 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))
(* 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)))))))
(* 1/5 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 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/3 (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))))))
(* 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)))))

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)))))))))
(* 1/7 (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 (+.f64 #s(literal 1/7 binary64) (/.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 (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 x (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* 1/7 (pow x 7))
(*.f64 #s(literal 1/7 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (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 #s(literal 0 binary64) (.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -1/5 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (*.f64 x x)) #s(literal -1/7 binary64))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #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))))))
x
(* x (+ 1 (* -1/9 (pow x 4))))
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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 (+.f64 #s(literal 1/7 binary64) (/.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 (+.f64 #s(literal 1/7 binary64) (/.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 (+.f64 #s(literal 1/7 binary64) (/.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 (+.f64 #s(literal 1/7 binary64) (/.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)))
(* 1/5 (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)))

eval452.0ms (5.5%)

Compiler: Compiled 157905 to 5175 computations (96.7% saved)

prune257.0ms (3.1%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	2234	1	2235
Fresh	1	1	2
Picked	2	3	5
Done	0	3	3
Total	2237	8	2245

Accuracy

100.0%

Counts

2245 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64)))))) x) (-.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 x (*.f64 x #s(literal 1/7 binary64))))))))))
✓	99.5%	(+.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (.f64 x (*.f64 x x))) x)
✓	99.3%	(+.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))) x)
✓	99.0%	(+.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64))) x)
▶	99.4%	(*.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) #s(literal 1/2 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 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
✓	98.6%	x

Compiler

Compiled 122 to 81 computations (33.6% saved)

simplify227.0ms (2.8%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Program
✓	cost-diff	(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64)))))
✓	cost-diff	(-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64))))))
✓	cost-diff	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/9 binary64) (.f64 x (*.f64 x #s(literal 2/15 binary64)))))) x)
✓	cost-diff	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64)))))) x) (-.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 x (*.f64 x #s(literal 1/7 binary64))))))))))
✓	cost-diff	(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
✓	cost-diff	(/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
✓	cost-diff	(log1p.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
✓	cost-diff	(*.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) #s(literal 1/2 binary64))

Rules

2976×	`+-lowering-+.f64`
2976×	`+-lowering-+.f32`
2368×	`-lowering-.f32`
2368×	`-lowering-.f64`
1412×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	34	209
1	96	183
2	318	178
3	1206	174
4	3339	174
0	8215	174

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize489.0ms (6%)

Localize:

Found 8 expressions of interest:

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

Results

311.0ms	192×	1	valid
115.0ms	57×	5	exit
3.0ms	7×	0	valid

Compiler

Compiled 251 to 34 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 284.0ms

compiled-spec: 60.0ms (21.1% of total)

ival-mult: 44.0ms (15.5% of total)

ival-div: 39.0ms (13.7% of total)

backward-pass: 38.0ms (13.4% of total)

ival-add: 38.0ms (13.4% of total)

...c/correct-round.rkt:119:19: 32.0ms (11.3% of total)

ival-log: 27.0ms (9.5% of total)

ival-sub: 5.0ms (1.8% of total)

const: 2.0ms (0.7% of total)

series10.0ms (0.1%)

Counts

12 → 144

Calls

Call 1

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

36 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(* (- 1 (* (* x (* x (* x x))) (+ 1/9 (* x (* x 2/15))))) x)
0.0ms	x	@	inf	(/ (* (- 1 (* (* x (* x (* x x))) (+ 1/9 (* x (* x 2/15))))) x) (- 1 (* (* x x) (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))))))
0.0ms	x	@	0	(* (log (+ 1 (/ 2 (+ (/ 1 x) -1)))) 1/2)
0.0ms	x	@	inf	(* (* x (* x (* x x))) (+ 1/9 (* x (* x 2/15))))
0.0ms	x	@	-inf	(/ (* (- 1 (* (* x (* x (* x x))) (+ 1/9 (* x (* x 2/15))))) x) (- 1 (* (* x x) (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))))))

rewrite400.0ms (4.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3788×	`-lowering-.f32`
3788×	`-lowering-.f64`
2882×	`/-lowering-/.f32`
2882×	`/-lowering-/.f64`
2498×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	135
1	204	117
2	1809	113
0	9174	113

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 315

Calls

Call 1

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

Outputs
(*.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(+.f64 (log1p.f64 (/.f64 #s(literal 8 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 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) #s(literal -1 binary64)))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))))
(-.f64 (log1p.f64 (/.f64 #s(literal 8 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) (log1p.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 2 binary64)))))
(-.f64 (log1p.f64 (/.f64 #s(literal 8 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) (log.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))))) (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))))
(-.f64 (log.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) #s(literal 1 binary64))) (log.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 1 binary64))))
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))))))
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))))
(log1p.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(/.f64 #s(literal 2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
(pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 2 binary64))
(.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(expm1.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))) (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
(pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
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(/.f64 (neg.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/125 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.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 (+.f64 (pow.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/7 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) (.f64 x (.f64 x #s(literal 1/5 binary64)))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/7 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 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/5 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/7 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/5 binary64)) (.f64 (.f64 x x) #s(literal 1/5 binary64))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/7 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/7 binary64)))) (.f64 (.f64 (.f64 x x) #s(literal 1/5 binary64)) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/7 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x x) #s(literal 1/5 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/7 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/7 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 x) (.f64 (.f64 x x) #s(literal 1/7 binary64))) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x #s(literal 1/5 binary64)) x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/7 binary64))) x) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 x #s(literal 1/5 binary64)) x) (.f64 (.f64 x #s(literal 1/5 binary64)) x)) (-.f64 (.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/7 binary64))) x) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/7 binary64))) x)) (.f64 (.f64 (.f64 x #s(literal 1/5 binary64)) x) (.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 1/7 binary64))) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/5 binary64) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/7 binary64)) (.f64 x x)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 #s(literal 1/5 binary64) (.f64 x x)) (.f64 #s(literal 1/5 binary64) (.f64 x x))) (-.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/7 binary64)) (.f64 x x)) (.f64 (.f64 (.f64 x x) #s(literal 1/7 binary64)) (.f64 x x))) (.f64 (.f64 #s(literal 1/5 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) #s(literal 1/7 binary64)) (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/7 binary64)) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/5 binary64) (.f64 x x)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/7 binary64)) (.f64 x x)) (.f64 (.f64 (.f64 x x) #s(literal 1/7 binary64)) (.f64 x x))) (-.f64 (.f64 (.f64 #s(literal 1/5 binary64) (.f64 x x)) (.f64 #s(literal 1/5 binary64) (.f64 x x))) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/7 binary64)) (.f64 x x)) (.f64 #s(literal 1/5 binary64) (*.f64 x x))))))
(.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)

simplify224.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

4152×	`-lowering-.f32`
4152×	`-lowering-.f64`
1792×	`+-lowering-+.f64`
1792×	`+-lowering-+.f32`
1558×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	191	1334
1	595	1175
2	1814	1132
3	5606	1126
0	8130	1126

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

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

eval90.0ms (1.1%)

Compiler: Compiled 21365 to 1775 computations (91.7% saved)

prune63.0ms (0.8%)

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	456	3	459
Fresh	0	0	0
Picked	0	2	2
Done	0	6	6
Total	456	11	467

Accuracy

100.0%

Counts

467 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64)))) (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64))))))) x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64)))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))))))
	99.6%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64)))) (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64))))))))) 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 x (.f64 x #s(literal 1/7 binary64))))))))))
✓	99.6%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64)))))) x) (-.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 x (*.f64 x #s(literal 1/7 binary64))))))))))
✓	99.5%	(+.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (.f64 x (*.f64 x x))) x)
✓	99.3%	(+.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))) x)
✓	99.0%	(+.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64))) x)
	99.6%	(.f64 (/.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)))))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/9 binary64) (.f64 x (*.f64 x #s(literal 2/15 binary64))))))))
✓	99.4%	(*.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) #s(literal 1/2 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 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
✓	98.6%	x

Compiler

Compiled 886 to 272 computations (69.3% saved)

regimes25.0ms (0.3%)

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

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

regimes27.0ms (0.3%)

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

Outputs

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

8 → 1

Calls

Call 1

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

Outputs

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.6%	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 x (.f64 (*.f64 x 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 (*.f64 x 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 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))))
(+.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (.f64 x (*.f64 x x))) x)

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.5%	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 x (.f64 (*.f64 x 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 (*.f64 x 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 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:

2.0ms

Results

Accuracy	Segments	Branch
99.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (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 x (.f64 (*.f64 x 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:

3.0ms

Results

Accuracy	Segments	Branch
99.3%	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 x (.f64 (*.f64 x x) #s(literal 1/3 binary64))) x)

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
98.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify21.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

114×	`*-commutative_binary64`
88×	`+-commutative_binary64`
64×	`sub-neg_binary64`
62×	`distribute-lft-neg-in_binary64`
62×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	170
1	126	170
2	173	170
3	216	170
4	264	170
5	299	170
6	328	170
7	350	170
8	364	170
9	368	170
10	369	170

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

soundness1.4s (17.6%)

Rules

4230×	`-lowering-.f32`
4230×	`-lowering-.f64`
3788×	`-lowering-.f32`
3788×	`-lowering-.f64`
2924×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	191
1	222	157
2	2036	154
0	8402	154
0	106	394
1	331	345
2	992	334
3	2914	331
4	5296	331
0	8411	331
0	186	2733
1	648	2343
2	2122	2279
3	7094	2276
0	8031	2276
0	34	135
1	204	117
2	1809	113
0	9174	113

Stop Event

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

Compiler

Compiled 403 to 208 computations (48.4% saved)

preprocess63.0ms (0.8%)

Compiler: Compiled 364 to 140 computations (61.5% 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	61	170
1	126	170
2	173	170
3	216	170
4	264	170
5	299	170
6	328	170
7	350	170
8	364	170
9	368	170
10	369	170

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	61	170
1	126	170
2	173	170
3	216	170
4	264	170
5	299	170
6	328	170
7	350	170
8	364	170
9	368	170
10	369	170

analyze2.0ms (0%)

sample455.0ms (5.6%)

preprocess38.0ms (0.5%)

explain338.0ms (4.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify20.0ms (0.2%)

localize136.0ms (1.7%)

series5.0ms (0.1%)

rewrite260.0ms (3.2%)

simplify213.0ms (2.6%)

eval26.0ms (0.3%)

prune19.0ms (0.2%)

simplify168.0ms (2.1%)

localize448.0ms (5.5%)

series15.0ms (0.2%)

rewrite341.0ms (4.2%)

simplify259.0ms (3.2%)

eval154.0ms (1.9%)

prune88.0ms (1.1%)

simplify257.0ms (3.1%)

localize295.0ms (3.6%)

series17.0ms (0.2%)

rewrite497.0ms (6.1%)

simplify317.0ms (3.9%)

eval452.0ms (5.5%)

prune257.0ms (3.1%)

simplify227.0ms (2.8%)

localize489.0ms (6%)

series10.0ms (0.1%)

rewrite400.0ms (4.9%)

simplify224.0ms (2.7%)

eval90.0ms (1.1%)

prune63.0ms (0.8%)

regimes25.0ms (0.3%)

regimes27.0ms (0.3%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes4.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

simplify21.0ms (0.3%)

soundness1.4s (17.6%)

preprocess63.0ms (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

Iter	Nodes	Cost
0	61	170
1	126	170
2	173	170
3	216	170
4	264	170
5	299	170
6	328	170
7	350	170
8	364	170
9	368	170
10	369	170