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)

sample355.0ms (6%)

Results

232.0ms	8256×	0	valid
0.0ms	6×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-atanh: 71.0ms (87.9% of total)

const: 7.0ms (8.7% of total)

backward-pass: 2.0ms (2.5% of total)

Bogosity

preprocess49.0ms (0.8%)

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)))

explain253.0ms (4.3%)

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

158.0ms	384×	1	valid
51.0ms	108×	5	exit
2.0ms	20×	0	valid

Compiler

Compiled 85 to 29 computations (65.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 216.0ms

compiled-spec: 79.0ms (36.5% of total)

ival-log: 62.0ms (28.7% of total)

backward-pass: 20.0ms (9.2% of total)

ival-mult: 18.0ms (8.3% of total)

ival-div: 17.0ms (7.9% of total)

ival-add: 10.0ms (4.6% of total)

ival-sub: 6.0ms (2.8% of total)

const: 3.0ms (1.4% 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 (0.3%)

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)

localize109.0ms (1.8%)

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

56.0ms	192×	1	valid
33.0ms	54×	5	exit
1.0ms	10×	0	valid

Compiler

Compiled 37 to 10 computations (73% saved)

Precisions

Click to see histograms. Total time spent on operations: 100.0ms

compiled-spec: 38.0ms (37.9% of total)

ival-log: 23.0ms (23% of total)

backward-pass: 19.0ms (19% of total)

ival-mult: 9.0ms (9% of total)

ival-div: 5.0ms (5% of total)

ival-sub: 3.0ms (3% of total)

ival-add: 3.0ms (3% of total)

const: 1.0ms (1% of total)

series4.0ms (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)

rewrite333.0ms (5.6%)

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	417	28
3	6054	28
0	8241	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 #s(literal 4 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))) (/.f64 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 #s(literal 4 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))) (/.f64 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 #s(literal 1/2 binary64) (/.f64 x (-.f64 #s(literal 1 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 #s(literal 1/2 binary64) (/.f64 x (-.f64 #s(literal 1 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 #s(literal 1/2 binary64) (/.f64 x (-.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) 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 #s(literal 1 binary64) x))))
(.f64 (.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 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 #s(literal 1 binary64) x)))
(.f64 (.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) #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 #s(literal 1 binary64) x))))
(*.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 #s(literal 1 binary64) x)) (.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 #s(literal 1 binary64) x))))
(.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 #s(literal 1/2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x (-.f64 #s(literal 1 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 -1 binary64) (neg.f64 (*.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 -1 binary64) (neg.f64 (*.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))

simplify263.0ms (4.4%)

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	359
2	991	349
3	2893	344
4	5281	344
0	8394	344

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

eval18.0ms (0.3%)

Compiler: Compiled 2956 to 583 computations (80.3% saved)

prune28.0ms (0.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

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

Accuracy

100.0%

Counts

156 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))))
▶	99.4%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64))))))))
▶	99.2%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
	9.5%	(*.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)))))))
▶	99.7%	(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) x))))
✓	100.0%	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
▶	98.7%	x

Compiler

Compiled 169 to 117 computations (30.8% saved)

simplify207.0ms (3.5%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64)))))
✓	cost-diff	0	(.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64)))))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64))))))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 #s(literal 1/3 binary64) (.f64 x x))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x)))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
✓	cost-diff	128	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) x))
✓	cost-diff	128	(log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) x)))
✓	cost-diff	128	(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) x))))

Rules

2506×	`fma-lowering-fma.f32`
2506×	`fma-lowering-fma.f64`
2156×	`fma-define`
1264×	`+-lowering-+.f64`
1264×	`+-lowering-+.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	32	246
1	100	224
2	288	215
3	833	215
4	1947	212
5	3329	212
6	4266	212
7	5390	212
8	6864	212
0	8282	212

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize381.0ms (6.4%)

Localize:

Found 16 expressions of interest:

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

Results

234.0ms	192×	1	valid
86.0ms	54×	5	exit
4.0ms	10×	0	valid

Compiler

Compiled 252 to 32 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 233.0ms

ival-add: 60.0ms (25.8% of total)

ival-mult: 51.0ms (21.9% of total)

backward-pass: 35.0ms (15% of total)

compiled-spec: 26.0ms (11.2% of total)

...c/correct-round.rkt:119:19: 25.0ms (10.7% of total)

ival-log: 20.0ms (8.6% of total)

ival-div: 11.0ms (4.7% of total)

ival-sub: 4.0ms (1.7% of total)

const: 1.0ms (0.4% of total)

series14.0ms (0.2%)

Counts

20 → 240

Calls

Call 1

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

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

Calls

60 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(* x (+ 1 (* 1/3 (* x x))))
1.0ms	x	@	-inf	(* x (+ 1 (* 1/3 (* x x))))
0.0ms	x	@	inf	(* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))))
0.0ms	x	@	0	(* x (+ 1 (* 1/3 (* x x))))
0.0ms	x	@	inf	(* x (+ 1 (* x (* x (+ 1/3 (* x (* x 1/5)))))))

rewrite365.0ms (6.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3158×	`-lowering-.f32`
3158×	`-lowering-.f64`
2640×	`/-lowering-/.f32`
2640×	`/-lowering-/.f64`
2344×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	194
1	213	170
2	1949	167
0	8312	167

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 456

Calls

Call 1

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

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

simplify230.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

4896×	`-lowering-.f32`
4896×	`-lowering-.f64`
1994×	`/-lowering-/.f32`
1994×	`/-lowering-/.f64`
1598×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	191	2008
1	639	1846
2	1895	1806
0	8016	1806

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

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

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

eval122.0ms (2.1%)

Compiler: Compiled 18507 to 2037 computations (89% saved)

prune66.0ms (1.1%)

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	736	4	740
Fresh	0	1	1
Picked	1	4	5
Done	0	1	1
Total	737	10	747

Accuracy

100.0%

Counts

747 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(+.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64))))) x)
▶	99.5%	(+.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))) x)
▶	99.2%	(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64)))) x)
▶	99.5%	(.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))) (.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))
✓	99.5%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.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)))))))))
✓	99.2%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
▶	9.5%	(*.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)))))))
✓	99.7%	(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) x))))
✓	100.0%	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
✓	98.7%	x

Compiler

Compiled 238 to 154 computations (35.3% saved)

simplify149.0ms (2.5%)

Algorithm

1×	egg-herbie

Localize:

Found 20 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	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	320	(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	320	(*.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	0	(.f64 x (.f64 x #s(literal 1/3 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
✓	cost-diff	256	(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))) (.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))))
✓	cost-diff	256	(.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))) (.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64)))))
✓	cost-diff	0	(+.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64))))) x)
✓	cost-diff	0	(*.f64 x #s(literal 1/3 binary64))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal 1/3 binary64)))
✓	cost-diff	0	(.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64))))
✓	cost-diff	0	(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64)))) x)
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))
✓	cost-diff	0	(+.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))) x)

Rules

2228×	`fma-define`
2060×	`fma-lowering-fma.f32`
2060×	`fma-lowering-fma.f64`
1956×	`-lowering-.f32`
1956×	`-lowering-.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	357
1	122	311
2	357	307
3	899	307
4	1842	307
5	2778	307
6	3020	307
7	3551	307
8	6521	307
0	8041	307

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

localize484.0ms (8.1%)

Localize:

Found 20 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	99.8%	(/.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x))
✓	accuracy	9.5%	(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	99.8%	(.f64 x (.f64 x #s(literal 1/3 binary64)))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/7 binary64))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/3 binary64))
✓	accuracy	99.5%	(.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/5 binary64)))
✓	accuracy	99.8%	(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64)))))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/5 binary64))
✓	accuracy	100.0%	(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64)))) x)
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64))))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/3 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/3 binary64))
✓	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	99.5%	(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))
✓	accuracy	99.5%	(.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))

Results

250.0ms	178×	1	valid
125.0ms	66×	2	valid
5.0ms	12×	0	valid

Compiler

Compiled 386 to 39 computations (89.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 228.0ms

ival-mult: 76.0ms (33.3% of total)

ival-log: 42.0ms (18.4% of total)

backward-pass: 34.0ms (14.9% of total)

...c/correct-round.rkt:119:19: 31.0ms (13.6% of total)

ival-add: 26.0ms (11.4% of total)

ival-div: 12.0ms (5.3% of total)

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

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

const: 1.0ms (0.4% of total)

series23.0ms (0.4%)

Counts

25 → 300

Calls

Call 1

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

75 calls:

Time	Variable		Point	Expression
12.0ms	x	@	inf	(* 1/2 (neg (log (/ 1 (+ 1 (/ 2 (/ (- 1 x) x)))))))
1.0ms	x	@	0	(* 1/2 (neg (log (/ 1 (+ 1 (/ 2 (/ (- 1 x) x)))))))
0.0ms	x	@	-inf	(* x (* x (* x 1/3)))
0.0ms	x	@	inf	(+ (* x (* x (* x 1/3))) x)
0.0ms	x	@	-inf	(* x (* x x))

rewrite412.0ms (6.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3566×	`-lowering-.f32`
3566×	`-lowering-.f64`
2490×	`/-lowering-/.f32`
2490×	`/-lowering-/.f64`
2376×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	241
1	257	204
2	2351	202
0	8289	202

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 611

Calls

Call 1

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

Outputs
(+.f64 x (.f64 x (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))) (*.f64 x x))))
(+.f64 (.f64 x (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))) (*.f64 x x))) x)
(+.f64 (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64))) (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))))
(+.f64 (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))) (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64))))
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(fma.f64 x (.f64 x #s(literal 1/5 binary64)) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))
(fma.f64 x (.f64 x #s(literal 1/5 binary64)) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))
(fma.f64 x (.f64 x #s(literal 1/5 binary64)) (.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 1/7 binary64))) x))
(fma.f64 x (.f64 x #s(literal 1/5 binary64)) (.f64 (.f64 (.f64 x x) #s(literal 1/7 binary64)) (*.f64 x x)))
(fma.f64 (.f64 x x) #s(literal 1/5 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))
(fma.f64 (.f64 x x) #s(literal 1/5 binary64) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))
(fma.f64 (.f64 x x) #s(literal 1/5 binary64) (.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 1/7 binary64))) x))
(fma.f64 (.f64 x x) #s(literal 1/5 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/7 binary64)) (*.f64 x x)))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/7 binary64)) (.f64 x (*.f64 x #s(literal 1/5 binary64))))
(fma.f64 #s(literal 1/5 binary64) (.f64 x x) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))
(fma.f64 #s(literal 1/5 binary64) (.f64 x x) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))
(fma.f64 #s(literal 1/5 binary64) (.f64 x x) (.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 1/7 binary64))) x))
(fma.f64 #s(literal 1/5 binary64) (.f64 x x) (.f64 (.f64 (.f64 x x) #s(literal 1/7 binary64)) (*.f64 x x)))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/7 binary64)) (.f64 x x) (.f64 x (*.f64 x #s(literal 1/5 binary64))))
(fma.f64 (.f64 x #s(literal 1/5 binary64)) x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))
(fma.f64 (.f64 x #s(literal 1/5 binary64)) x (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))
(fma.f64 (.f64 x #s(literal 1/5 binary64)) x (.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 1/7 binary64))) x))
(fma.f64 (.f64 x #s(literal 1/5 binary64)) x (.f64 (.f64 (.f64 x x) #s(literal 1/7 binary64)) (*.f64 x x)))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64))))) (+.f64 #s(literal 1/25 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/7 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 1/7 binary64)) #s(literal 1/5 binary64)))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/49 binary64)))) (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal -1/7 binary64) (.f64 x x))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64)))))) (neg.f64 (+.f64 #s(literal 1/25 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/7 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 1/7 binary64)) #s(literal 1/5 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/49 binary64))))) (neg.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal -1/7 binary64) (.f64 x x)))))
(.f64 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)
(*.f64 x #s(literal 1/5 binary64))
(*.f64 #s(literal 1/5 binary64) x)
(.f64 x (.f64 x #s(literal 1/5 binary64)))
(.f64 (.f64 x x) #s(literal 1/5 binary64))
(.f64 #s(literal 1/5 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/5 binary64)) x)
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 1/2 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 2 binary64)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 1/2 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 2 binary64)) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 1/2 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 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 1/2 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))
(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 x (.f64 x x)) (.f64 x x))
(/.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 0 binary64) (-.f64 #s(literal 1 binary64) x))) (neg.f64 (-.f64 #s(literal 0 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 (-.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 (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 (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 (/.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)))

simplify288.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

3132×	`-lowering-.f32`
3132×	`-lowering-.f64`
2166×	`/-lowering-/.f32`
2166×	`/-lowering-/.f64`
2038×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	235	2402
1	785	2235
2	2243	2197
3	7233	2194
0	8141	2194

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

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

eval179.0ms (3%)

Compiler: Compiled 33894 to 2841 computations (91.6% saved)

prune110.0ms (1.8%)

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	1127	1	1128
Fresh	0	0	0
Picked	0	5	5
Done	0	5	5
Total	1127	11	1138

Accuracy

100.0%

Counts

1138 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(+.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64))))) x)
✓	99.5%	(+.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))) x)
✓	99.2%	(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64)))) x)
▶	99.4%	(.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))))
✓	99.5%	(.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))) (.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))
✓	99.5%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.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)))))))))
✓	99.2%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
✓	9.5%	(*.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)))))))
✓	99.7%	(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) x))))
✓	100.0%	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
✓	98.7%	x

Compiler

Compiled 168 to 109 computations (35.1% saved)

simplify27.0ms (0.5%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

350×	`fma-define`
316×	`fma-lowering-fma.f32`
316×	`fma-lowering-fma.f64`
232×	`-lowering-.f32`
232×	`-lowering-.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	70
1	37	63
2	104	57
3	232	53
4	387	53
5	435	53
6	439	53
0	439	53

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize73.0ms (1.2%)

Localize:

Found 4 expressions of interest:

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

Results

39.0ms

256×

valid

Compiler

Compiled 74 to 13 computations (82.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 14.0ms (56% of total)

...c/correct-round.rkt:119:19: 8.0ms (32% of total)

ival-add: 2.0ms (8% of total)

const: 0.0ms (0% of total)

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

series2.0ms (0%)

Counts

7 → 84

Calls

Call 1

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

Calls

21 calls:

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

rewrite327.0ms (5.5%)

Algorithm

1×	batch-egg-rewrite

Rules

5218×	`-lowering-.f32`
5218×	`-lowering-.f64`
2766×	`/-lowering-/.f32`
2766×	`/-lowering-/.f64`
1488×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	63
1	64	48
2	565	48
0	8478	48

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 265

Calls

Call 1

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

Outputs
(+.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64))))))
(+.f64 x (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64))))) x))
(+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))) (.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) (.f64 x (.f64 x x))))
(+.f64 (.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) (.f64 x (.f64 x x))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))))
(+.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64))))) x)
(+.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64))))) x) x)
(+.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 1/5 binary64)) (.f64 x (.f64 x x))))))
(+.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 1/5 binary64)) (.f64 x (.f64 x x)))) x))
(+.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (+.f64 x (.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) (.f64 x (.f64 x x)))))
(+.f64 (.f64 x (+.f64 (.f64 (.f64 x #s(literal 1/5 binary64)) (.f64 x (.f64 x x))) #s(literal 1 binary64))) (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))))
(+.f64 (.f64 (+.f64 (.f64 (.f64 x #s(literal 1/5 binary64)) (.f64 x (.f64 x x))) #s(literal 1 binary64)) x) (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))))
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(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64))) #s(literal -1 binary64))) (+.f64 (.f64 x (*.f64 x #s(literal 1/3 binary64))) #s(literal -1 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64)))) #s(literal 1 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64))))) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (*.f64 x x) #s(literal -1/3 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 x (*.f64 x #s(literal 1/3 binary64))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64)))))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64))))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64))))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64))) #s(literal -1 binary64))) (neg.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64))))) (+.f64 (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64))))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64))))) (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64))) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1/729 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64))) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/27 binary64))) #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1/729 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/27 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1/729 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64))) #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1/81 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/9 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64))))) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64)))))))
(.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (*.f64 x x) #s(literal -1/3 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/9 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/27 binary64)))))
(.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (*.f64 x #s(literal 1/3 binary64))) #s(literal -1 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64))))))
(.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64))) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64))) (-.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64))) #s(literal 1 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64)))))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(.f64 x (.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64))))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1 binary64)))
(.f64 (.f64 x #s(literal 1/3 binary64)) x)
(.f64 (.f64 x (*.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64))
(.f64 (.f64 x x) #s(literal 1/3 binary64))
(*.f64 x #s(literal 1/3 binary64))
(.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) x)
(.f64 x (.f64 x #s(literal 1/5 binary64)))
(.f64 (.f64 x x) #s(literal 1/5 binary64))
(.f64 #s(literal 1/5 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/5 binary64)) x)
(.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/5 binary64))))
(.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/5 binary64))))
(.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x (.f64 x x))))
(.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) (.f64 x x))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5 binary64))
(.f64 (.f64 x #s(literal 1/5 binary64)) (.f64 x (.f64 x x)))
(.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/5 binary64))) x)
(.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/5 binary64)))

simplify162.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

2084×	`-lowering-.f32`
2084×	`-lowering-.f64`
1586×	`fma-define`
1426×	`fnmadd-define`
1190×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	39	540
1	123	505
2	340	491
3	964	489
4	2003	487
5	4797	487
0	8193	487

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

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

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

eval47.0ms (0.8%)

Compiler: Compiled 16479 to 942 computations (94.3% saved)

prune37.0ms (0.6%)

Pruning

11 alts after pruning (0 fresh and 11 done)

	Pruned	Kept	Total
New	349	0	349
Fresh	0	0	0
Picked	0	1	1
Done	0	10	10
Total	349	11	360

Accuracy

100.0%

Counts

360 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(+.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64))))) x)
✓	99.5%	(+.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))) x)
✓	99.2%	(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64)))) x)
✓	99.4%	(.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))))
✓	99.5%	(.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))) (.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))
✓	99.5%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.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)))))))))
✓	99.2%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
✓	9.5%	(*.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)))))))
✓	99.7%	(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) x))))
✓	100.0%	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
✓	98.7%	x

Compiler

Compiled 341 to 170 computations (50.1% saved)

regimes19.0ms (0.3%)

Counts

12 → 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 x (*.f64 x #s(literal 1/3 binary64)))) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64))))))))
(+.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64))))) x)
(.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))) (.f64 (.f64 x x) (.f64 (*.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 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))))
(+.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))) x)
(.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))) (.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))
(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) x))))
(*.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:

7.0ms	(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
4.0ms	(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
4.0ms	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
4.0ms	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)

regimes4.0ms (0.1%)

Counts

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

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

5.0ms

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.4%	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 x (*.f64 x #s(literal 1/3 binary64)))) x)

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
99.2%	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
98.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	101
1	76	101
2	80	101
3	82	101
4	83	101

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness709.0ms (11.9%)

Rules

3158×	`-lowering-.f32`
3158×	`-lowering-.f64`
2640×	`/-lowering-/.f32`
2640×	`/-lowering-/.f64`
2344×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	194
1	213	170
2	1949	167
0	8312	167
0	106	394
1	331	359
2	991	349
3	2893	344
4	5281	344
0	8394	344

Stop Event

1×	done
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 227 to 123 computations (45.8% saved)

preprocess51.0ms (0.9%)

Compiler: Compiled 226 to 100 computations (55.8% saved)

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

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

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

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

analyze2.0ms (0%)

sample355.0ms (6%)

preprocess49.0ms (0.8%)

explain253.0ms (4.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify20.0ms (0.3%)

localize109.0ms (1.8%)

series4.0ms (0.1%)

rewrite333.0ms (5.6%)

simplify263.0ms (4.4%)

eval18.0ms (0.3%)

prune28.0ms (0.5%)

simplify207.0ms (3.5%)

localize381.0ms (6.4%)

series14.0ms (0.2%)

rewrite365.0ms (6.1%)

simplify230.0ms (3.9%)

eval122.0ms (2.1%)

prune66.0ms (1.1%)

simplify149.0ms (2.5%)

localize484.0ms (8.1%)

series23.0ms (0.4%)

rewrite412.0ms (6.9%)

simplify288.0ms (4.8%)

eval179.0ms (3%)

prune110.0ms (1.8%)

simplify27.0ms (0.5%)

localize73.0ms (1.2%)

series2.0ms (0%)

rewrite327.0ms (5.5%)

simplify162.0ms (2.7%)

eval47.0ms (0.8%)

prune37.0ms (0.6%)

regimes19.0ms (0.3%)

regimes4.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

simplify11.0ms (0.2%)

soundness709.0ms (11.9%)

preprocess51.0ms (0.9%)

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