Metrics for invcot (example 3.9)

analyze8.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	49.7%	50.3%	0%	0%	0%	0
0%	0%	49.7%	50.3%	0%	0%	0%	1
0%	0%	49.7%	50.3%	0%	0%	0%	2
25%	12.4%	37.3%	50.3%	0%	0%	0%	3
62.5%	31.1%	18.6%	50.3%	0%	0%	0%	4
81.3%	40.4%	9.3%	50.3%	0%	0%	0%	5
90.6%	45%	4.7%	50.3%	0%	0%	0%	6
95.3%	47.4%	2.3%	50.3%	0%	0%	0%	7
97.7%	48.5%	1.2%	50.3%	0%	0%	0%	8
98.8%	49.1%	0.6%	50.3%	0%	0%	0%	9
99.4%	49.4%	0.3%	50.3%	0%	0%	0%	10
99.7%	49.5%	0.1%	50.3%	0%	0%	0%	11
99.9%	49.6%	0.1%	50.3%	0%	0%	0%	12

Compiler

Compiled 16 to 11 computations (31.3% saved)

Precisions

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

...c/correct-round.rkt:119:19: 2.0ms (45.7% of total)

ival-div: 1.0ms (22.9% of total)

ival-tan: 1.0ms (22.9% of total)

ival-<: 1.0ms (22.9% of total)

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

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

const: 0.0ms (0% of total)

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

sample7.7s (57.3%)

Results

5.2s	4489×	2	valid
1.5s	1343×	3	valid
591.0ms	2378×	1	valid
5.0ms	46×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 6.6s

ival-tan: 5.0s (75.7% of total)

ival-div: 751.0ms (11.4% of total)

...c/correct-round.rkt:119:19: 287.0ms (4.4% of total)

backward-pass: 274.0ms (4.2% of total)

ival-sub: 157.0ms (2.4% of total)

ival-<: 95.0ms (1.4% of total)

const: 18.0ms (0.3% of total)

ival-and: 11.0ms (0.2% of total)

Bogosity

preprocess39.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

156×	`fnmadd-define`
138×	`sum3-define`
112×	`fma-lowering-fma.f32`
112×	`fnmsub-define`
112×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	20
1	29	19
2	64	18
3	146	18
4	300	18
5	464	18
6	507	18
7	515	18
0	6	6
1	12	6
2	20	6
3	31	6
4	45	6
5	82	6
6	152	6
7	248	6
8	350	6
9	486	6
10	607	6
11	639	6
0	639	6

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(- (/ 1 x) (/ 1 (tan x)))

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

Call 2

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

Outputs
(- (/ 1 x) (/ 1 (tan x)))
(- (recip x) (recip (tan x)))
(- (/ 1 (neg x)) (/ 1 (tan (neg x))))
(- (recip (tan x)) (recip x))
(neg (- (/ 1 (neg x)) (/ 1 (tan (neg x)))))
(- (recip x) (recip (tan x)))

Symmetry

(negabs x)

explain483.0ms (3.6%)

FPErrors

Click to see full error table

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

Results

320.0ms	278×	2	valid
92.0ms	88×	3	valid
34.0ms	142×	1	valid
0.0ms	4×	0	valid

Compiler

Compiled 51 to 20 computations (60.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 310.0ms

ival-tan: 217.0ms (70% of total)

ival-div: 65.0ms (21% of total)

backward-pass: 19.0ms (6.1% of total)

ival-sub: 8.0ms (2.6% of total)

const: 2.0ms (0.6% of total)

eval0.0ms (0%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.4%	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify25.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

156×	`fnmadd-define`
138×	`sum3-define`
112×	`fma-lowering-fma.f32`
112×	`fnmsub-define`
112×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	12	15
2	20	15
3	31	15
4	45	15
5	82	15
6	152	15
7	248	15
8	350	15
9	486	15
10	607	15
11	639	15
0	639	15

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- (/ 1 x) (/ 1 (tan x)))
(/ 1 x)
1
x
(/ 1 (tan x))
(tan x)

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

localize205.0ms (1.5%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (tan.f64 x))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(tan.f64 x)
✓	accuracy	7.4%	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Results

119.0ms	139×	2	valid
49.0ms	44×	3	valid
24.0ms	71×	1	valid
0.0ms	2×	0	valid

Compiler

Compiled 21 to 7 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 140.0ms

ival-tan: 114.0ms (81.2% of total)

ival-div: 13.0ms (9.3% of total)

backward-pass: 9.0ms (6.4% of total)

ival-sub: 4.0ms (2.8% of total)

const: 1.0ms (0.7% of total)

series4.0ms (0%)

Counts

4 → 48

Calls

Call 1

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

Outputs
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))>
#<alt (* -1 (/ (cos x) (sin x)))>
#<alt (- (/ 1 x) (/ (cos x) (sin x)))>
#<alt (- (/ 1 x) (/ (cos x) (sin x)))>
#<alt (- (/ 1 x) (/ (cos x) (sin x)))>
#<alt (* -1 (/ (cos x) (sin x)))>
#<alt (- (/ 1 x) (/ (cos x) (sin x)))>
#<alt (- (/ 1 x) (/ (cos x) (sin x)))>
#<alt (- (/ 1 x) (/ (cos x) (sin x)))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1/3 (pow x 2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) x)>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>

Calls

12 calls:

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

rewrite227.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2434×	`-lowering-.f32`
2434×	`-lowering-.f64`
2300×	`/-lowering-/.f32`
2300×	`/-lowering-/.f64`
1480×	`sum5-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	47	13
2	485	13
3	6201	13
0	8254	13

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 222

Calls

Call 1

Inputs
(- (/ 1 x) (/ 1 (tan x)))
(/ 1 x)
(/ 1 (tan x))
(tan x)

Outputs
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (+.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x))) (+.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x))) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (/.f64 #s(literal -1 binary64) (tan.f64 x))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x))) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x))) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) #s(literal 1 binary64)))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x))) (+.f64 (+.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (+.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))))
(+.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))))
(+.f64 (+.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x))))
(+.f64 (/.f64 (tan.f64 x) (.f64 (tan.f64 x) x)) (neg.f64 (/.f64 x (.f64 (tan.f64 x) x))))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (tan.f64 x)))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (tan.f64 x))))))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 x x))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))))))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (+.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 (tan.f64 x) (.f64 (tan.f64 x) x)) (/.f64 x (.f64 (tan.f64 x) x)))
(-.f64 (/.f64 (tan.f64 x) (.f64 (tan.f64 x) x)) (-.f64 (/.f64 x (.f64 (tan.f64 x) x)) (+.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (tan.f64 x)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (tan.f64 x)))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (tan.f64 x)))) (-.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (tan.f64 x)))) (+.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 x x))) (/.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 x x))) (-.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (+.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(fma.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x))) (+.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(fma.f64 (-.f64 (tan.f64 x) x) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x) (+.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (pow.f64 (tan.f64 x) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (tan.f64 x)))) (+.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (+.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(neg.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal -1 binary64) x)))
(neg.f64 (/.f64 (-.f64 (tan.f64 x) x) (*.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) x)))
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (pow.f64 (tan.f64 x) #s(literal -3 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (tan.f64 x))))))
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 #s(literal -1 binary64) x))))
(neg.f64 (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) x) (*.f64 (tan.f64 x) x)))
(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (pow.f64 (tan.f64 x) #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (tan.f64 x)))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (/.f64 (-.f64 (tan.f64 x) x) x)))
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(/.f64 (tan.f64 x) #s(literal 1 binary64))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x))))
(/.f64 (sin.f64 x) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(/.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x))) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x))) (cos.f64 x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x))) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x))))
(/.f64 (/.f64 (sin.f64 x) #s(literal 1 binary64)) (cos.f64 x))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x))) (cos.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -1/2 binary64))) (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (cos.f64 x))
(pow.f64 (tan.f64 x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (tan.f64 x))
(*.f64 (tan.f64 x) #s(literal 1 binary64))
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(.f64 (sin.f64 x) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 x)))
(*.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))

simplify212.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

2522×	`-lowering-.f32`
2522×	`-lowering-.f64`
2470×	`sum3-define`
1924×	`+-lowering-+.f64`
1924×	`+-lowering-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	67	302
1	186	269
2	560	266
3	1807	266
4	2716	266
5	4431	266
6	6050	266
7	6596	266
0	8084	266

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) x)
(/ (cos x) (sin x))
(/ (cos x) (sin x))
(/ (cos x) (sin x))
(/ (cos x) (sin x))
(/ (cos x) (sin x))
(/ (cos x) (sin x))
(/ (cos x) (sin x))
(/ (cos x) (sin x))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))

Outputs
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 x (-.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal -1/45 binary64))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(.f64 x (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 x (*.f64 x #s(literal -2/945 binary64)))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (*.f64 x x) #s(literal 1/4725 binary64))))))))
(* -1 (/ (cos x) (sin x)))
(/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(* -1 (/ (cos x) (sin x)))
(/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64))) x)
(/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64)))))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 x (.f64 x #s(literal -2/945 binary64))))))))) x)
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.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 (* (pow x 2) (+ 1/3 (* 2/15 (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 2/15 binary64))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))))))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))

eval27.0ms (0.2%)

Compiler: Compiled 5571 to 674 computations (87.9% saved)

prune42.0ms (0.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	267	3	270
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	268	3	271

Accuracy

99.5%

Counts

271 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(.f64 x (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 x (*.f64 x #s(literal -2/945 binary64)))))))
▶	99.3%	(.f64 x (-.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal -1/45 binary64))))
▶	98.3%	(*.f64 #s(literal 1/3 binary64) x)

Status

Accuracy

Program

▶

99.5%

(*.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/45 binary64) (*.f64 x (*.f64 x #s(literal -2/945 binary64)))))))

▶

99.3%

(*.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/45 binary64))))

▶

98.3%

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

Compiler

Compiled 30 to 21 computations (30% saved)

simplify150.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 x (.f64 x #s(literal -2/945 binary64)))))
✓	cost-diff	(-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 x (.f64 x #s(literal -2/945 binary64))))))
✓	cost-diff	(.f64 x (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 x (*.f64 x #s(literal -2/945 binary64)))))))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 (.f64 x x) #s(literal -1/45 binary64))
✓	cost-diff	(-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64)))
✓	cost-diff	(.f64 x (-.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal -1/45 binary64))))
✓	cost-diff	(*.f64 #s(literal 1/3 binary64) x)

Rules

1976×	`sum3-define`
1920×	`sum4-define`
1820×	`fma-define`
1616×	`fma-lowering-fma.f32`
1616×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	80
1	43	76
2	133	72
3	428	72
4	1209	72
5	2366	72
6	5316	72
0	8042	72

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* 1/3 x)
1/3
x
(* x (- 1/3 (* (* x x) -1/45)))
x
(- 1/3 (* (* x x) -1/45))
1/3
(* (* x x) -1/45)
(* x x)
-1/45
(* x (- 1/3 (* (* x x) (+ -1/45 (* x (* x -2/945))))))
x
(- 1/3 (* (* x x) (+ -1/45 (* x (* x -2/945)))))
1/3
(* (* x x) (+ -1/45 (* x (* x -2/945))))
(* x x)
(+ -1/45 (* x (* x -2/945)))
-1/45
(* x (* x -2/945))
(* x -2/945)
-2/945

Outputs
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
1/3
#s(literal 1/3 binary64)
x
(* x (- 1/3 (* (* x x) -1/45)))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/45 binary64)))))
x
(- 1/3 (* (* x x) -1/45))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64))))
1/3
#s(literal 1/3 binary64)
(* (* x x) -1/45)
(.f64 x (.f64 x #s(literal -1/45 binary64)))
(* x x)
(*.f64 x x)
-1/45
#s(literal -1/45 binary64)
(* x (- 1/3 (* (* x x) (+ -1/45 (* x (* x -2/945))))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 x (*.f64 x #s(literal 2/945 binary64)))))))
x
(- 1/3 (* (* x x) (+ -1/45 (* x (* x -2/945)))))
(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 x (.f64 x #s(literal 2/945 binary64))))))
1/3
#s(literal 1/3 binary64)
(* (* x x) (+ -1/45 (* x (* x -2/945))))
(.f64 x (.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 x (.f64 x #s(literal -2/945 binary64))))))
(* x x)
(*.f64 x x)
(+ -1/45 (* x (* x -2/945)))
(+.f64 #s(literal -1/45 binary64) (.f64 x (.f64 x #s(literal -2/945 binary64))))
-1/45
#s(literal -1/45 binary64)
(* x (* x -2/945))
(.f64 x (.f64 x #s(literal -2/945 binary64)))
(* x -2/945)
(*.f64 x #s(literal -2/945 binary64))
-2/945
#s(literal -2/945 binary64)

localize142.0ms (1.1%)

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal -2/945 binary64)))
✓	accuracy	99.7%	(.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 x (.f64 x #s(literal -2/945 binary64)))))
✓	accuracy	99.5%	(.f64 x (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 x (*.f64 x #s(literal -2/945 binary64)))))))
✓	accuracy	99.3%	(*.f64 x #s(literal -2/945 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64)))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal -1/45 binary64))
✓	accuracy	99.5%	(.f64 x (-.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal -1/45 binary64))))
✓	accuracy	99.5%	(*.f64 #s(literal 1/3 binary64) x)

Results

119.0ms

256×

valid

Compiler

Compiled 95 to 16 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 14.0ms (48.1% of total)

...c/correct-round.rkt:119:19: 11.0ms (37.8% of total)

ival-sub: 2.0ms (6.9% of total)

ival-add: 1.0ms (3.4% of total)

const: 0.0ms (0% of total)

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

series10.0ms (0.1%)

Counts

10 → 120

Calls

Call 1

Inputs
#<alt (* 1/3 x)>
#<alt (* x (- 1/3 (* (* x x) -1/45)))>
#<alt (- 1/3 (* (* x x) -1/45))>
#<alt (* (* x x) -1/45)>
#<alt (* x x)>
#<alt (* x (- 1/3 (* (* x x) (+ -1/45 (* x (* x -2/945))))))>
#<alt (- 1/3 (* (* x x) (+ -1/45 (* x (* x -2/945)))))>
#<alt (* (* x x) (+ -1/45 (* x (* x -2/945))))>
#<alt (* x -2/945)>
#<alt (* x (* x -2/945))>

Outputs
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* 1/45 (pow x 3))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/45 (pow x 3))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/45 (pow x 2)))>
#<alt (+ 1/3 (* 1/45 (pow x 2)))>
#<alt (+ 1/3 (* 1/45 (pow x 2)))>
#<alt (* 1/45 (pow x 2))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/45 (pow x 2))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))>
#<alt (* 2/945 (pow x 5))>
#<alt (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* 2/945 (pow x 5))>
#<alt (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/45 (pow x 2)))>
#<alt (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))>
#<alt (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))>
#<alt (* 2/945 (pow x 4))>
#<alt (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* 2/945 (pow x 4))>
#<alt (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* -1/45 (pow x 2))>
#<alt (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45))>
#<alt (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45))>
#<alt (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45))>
#<alt (* -2/945 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* -2/945 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* -2/945 x)>
#<alt (* -2/945 x)>
#<alt (* -2/945 x)>
#<alt (* -2/945 x)>
#<alt (* -2/945 x)>
#<alt (* -2/945 x)>
#<alt (* -2/945 x)>
#<alt (* -2/945 x)>
#<alt (* -2/945 x)>
#<alt (* -2/945 x)>
#<alt (* -2/945 x)>
#<alt (* -2/945 x)>
#<alt (* -2/945 (pow x 2))>
#<alt (* -2/945 (pow x 2))>
#<alt (* -2/945 (pow x 2))>
#<alt (* -2/945 (pow x 2))>
#<alt (* -2/945 (pow x 2))>
#<alt (* -2/945 (pow x 2))>
#<alt (* -2/945 (pow x 2))>
#<alt (* -2/945 (pow x 2))>
#<alt (* -2/945 (pow x 2))>
#<alt (* -2/945 (pow x 2))>
#<alt (* -2/945 (pow x 2))>
#<alt (* -2/945 (pow x 2))>

Calls

30 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(* x (- 1/3 (* (* x x) (+ -1/45 (* x (* x -2/945))))))
1.0ms	x	@	0	(* 1/3 x)
0.0ms	x	@	inf	(* x (- 1/3 (* (* x x) (+ -1/45 (* x (* x -2/945))))))
0.0ms	x	@	inf	(* x (- 1/3 (* (* x x) -1/45)))
0.0ms	x	@	0	(* x (- 1/3 (* (* x x) -1/45)))

rewrite272.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

5384×	`-lowering-.f32`
5384×	`-lowering-.f64`
2582×	`/-lowering-/.f32`
2582×	`/-lowering-/.f64`
1428×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	63
1	84	60
2	680	56
0	8182	56

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 287

Calls

Call 1

Inputs
(* 1/3 x)
(* x (- 1/3 (* (* x x) -1/45)))
(- 1/3 (* (* x x) -1/45))
(* (* x x) -1/45)
(* x x)
(* x (- 1/3 (* (* x x) (+ -1/45 (* x (* x -2/945))))))
(- 1/3 (* (* x x) (+ -1/45 (* x (* x -2/945)))))
(* (* x x) (+ -1/45 (* x (* x -2/945))))
(* x -2/945)
(* x (* x -2/945))

Outputs
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 x #s(literal 1/3 binary64))
(+.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 x (.f64 (.f64 x x) #s(literal 1/45 binary64))))
(+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/45 binary64))) (.f64 #s(literal 1/3 binary64) x))
(fma.f64 #s(literal 1/3 binary64) x (.f64 x (.f64 (*.f64 x x) #s(literal 1/45 binary64))))
(fma.f64 x #s(literal 1/3 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/45 binary64))))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/45 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/135 binary64)))) (.f64 x (-.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/91125 binary64) (.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64))) (.f64 x (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/2025 binary64))))))
(/.f64 (.f64 x (-.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/91125 binary64) (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/135 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/91125 binary64) (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))))
(/.f64 (.f64 x (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/2025 binary64)))) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal -1/45 binary64))))
(/.f64 (neg.f64 (.f64 x (-.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/91125 binary64) (.f64 x (.f64 x x))))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/135 binary64))))))
(/.f64 (neg.f64 (.f64 x (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/2025 binary64))))) (+.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/45 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x)) (-.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/45 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 1/45 binary64)))) (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 x (.f64 (*.f64 x x) #s(literal 1/45 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x)) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/45 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 1/45 binary64))))) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 x (.f64 (.f64 x x) #s(literal 1/45 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/91125 binary64) (.f64 x (.f64 x x))))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/135 binary64))))))
(/.f64 (.f64 x (+.f64 #s(literal -1/9 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64)))))) (+.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))
(/.f64 (.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/45 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/91125 binary64) (.f64 x (.f64 x x)))))) x) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/135 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal -1/9 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))))) x) (+.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/45 binary64)))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/45 binary64))))
(.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/45 binary64))) x)
(.f64 (-.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/91125 binary64) (.f64 x (.f64 x x))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/135 binary64))))) x))
(.f64 (-.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/91125 binary64) (.f64 x (.f64 x x))))) (/.f64 x (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/135 binary64))))))
(.f64 (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/2025 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64)))) x))
(.f64 (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/2025 binary64))) (/.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal -1/45 binary64)))))
(.f64 (.f64 x (-.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/91125 binary64) (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/135 binary64))))))
(.f64 (.f64 x (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/2025 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64)))))
(.f64 (/.f64 (.f64 x (-.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/91125 binary64) (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1/729 binary64) (.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/135 binary64))) (.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/135 binary64))) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/135 binary64))))))) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/135 binary64))) (-.f64 (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/135 binary64))) #s(literal 1/9 binary64)))))
(.f64 (/.f64 (.f64 x (-.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/91125 binary64) (.f64 x (.f64 x x)))))) (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/135 binary64))) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/135 binary64)))))) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/135 binary64)))))
(.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/2025 binary64)))) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/2025 binary64)))) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/45 binary64))))
(.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/2025 binary64)))) (+.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/91125 binary64) (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/135 binary64)))))
(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/45 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(+.f64 (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/135 binary64))))) (neg.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/91125 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/135 binary64)))))))
(+.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64)))) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64))))))
(-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64)))
(-.f64 (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/135 binary64))))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/91125 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/135 binary64))))))
(-.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64)))) (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64)))) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 x x) #s(literal -1/45 binary64)) #s(literal 1/3 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
(fma.f64 #s(literal -1/45 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1/3 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1/45 binary64) #s(literal 1/3 binary64))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64)) #s(literal 1/3 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x #s(literal -1/45 binary64)) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(neg.f64 (/.f64 (-.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/91125 binary64) (.f64 x (.f64 x x))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/135 binary64)))))))
(neg.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/2025 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/91125 binary64) (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/135 binary64))))))
(neg.f64 (/.f64 (+.f64 #s(literal -1/9 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))))) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64)))))
(/.f64 (-.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/91125 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/135 binary64)))))
(/.f64 (-.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/91125 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))))
(/.f64 (-.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/91125 binary64) (.f64 x (.f64 x x))))) (+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64)))) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))))
(/.f64 (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/2025 binary64))) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/91125 binary64) (.f64 x (.f64 x x)))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/135 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/91125 binary64) (.f64 x (.f64 x x)))))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))))
(/.f64 (+.f64 #s(literal -1/9 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))))) (+.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))
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(/.f64 (.f64 x (.f64 x (-.f64 #s(literal 1/2025 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/893025 binary64))))))) (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/91125 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -8/843908625 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (neg.f64 (+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64)))) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -2/945 binary64)))) (-.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -2/945 binary64)))) (.f64 (*.f64 x x) #s(literal -1/45 binary64)))))))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal -2/945 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))))) (neg.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 (*.f64 x x) #s(literal 2/945 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/893025 binary64)))) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))))) (-.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -2/945 binary64)))) (.f64 (.f64 x x) #s(literal -1/45 binary64))))
(/.f64 (.f64 (.f64 x x) (+.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -8/843908625 binary64)))) #s(literal 1/91125 binary64))) (+.f64 (neg.f64 (.f64 x (.f64 (.f64 x #s(literal -2/945 binary64)) (+.f64 (.f64 (*.f64 x x) #s(literal -2/945 binary64)) #s(literal 1/45 binary64))))) #s(literal -1/2025 binary64)))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/2025 binary64) (neg.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -4/893025 binary64))))) (+.f64 #s(literal 1/45 binary64) (neg.f64 (.f64 (.f64 x x) #s(literal 2/945 binary64)))))
(/.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal -2/945 binary64)))))
(/.f64 (.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/893025 binary64)))) #s(literal -1/2025 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal -2/945 binary64)) #s(literal 1/45 binary64)))
(/.f64 (.f64 (+.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -8/843908625 binary64)))) #s(literal 1/91125 binary64)) (.f64 x x)) (+.f64 (neg.f64 (.f64 x (.f64 (.f64 x #s(literal -2/945 binary64)) (+.f64 (.f64 (*.f64 x x) #s(literal -2/945 binary64)) #s(literal 1/45 binary64))))) #s(literal -1/2025 binary64)))
(/.f64 (.f64 (+.f64 #s(literal -1/2025 binary64) (neg.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -4/893025 binary64)))) (.f64 x x)) (+.f64 #s(literal 1/45 binary64) (neg.f64 (.f64 (.f64 x x) #s(literal 2/945 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal -2/945 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/893025 binary64)))) #s(literal -1/2025 binary64)) (.f64 x x)) (+.f64 (.f64 (.f64 x x) #s(literal -2/945 binary64)) #s(literal 1/45 binary64)))
(.f64 x (.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal -2/945 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal -2/945 binary64))))
(.f64 (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal -2/945 binary64))) (.f64 x x))
(.f64 (+.f64 #s(literal -1/91125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -8/843908625 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2025 binary64) (.f64 x (.f64 (.f64 x #s(literal -2/945 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal -2/945 binary64)) #s(literal 1/45 binary64)))))) (.f64 x x)))
(.f64 (+.f64 #s(literal -1/91125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -8/843908625 binary64)))) (/.f64 (.f64 x x) (+.f64 #s(literal 1/2025 binary64) (.f64 x (.f64 (.f64 x #s(literal -2/945 binary64)) (+.f64 (.f64 (*.f64 x x) #s(literal -2/945 binary64)) #s(literal 1/45 binary64)))))))
(.f64 (-.f64 #s(literal 1/2025 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/893025 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))) (*.f64 x x)))
(.f64 (-.f64 #s(literal 1/2025 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/893025 binary64))))) (/.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))))
(.f64 (.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal -2/945 binary64)))) x)
(.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/91125 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -8/843908625 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64)))) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -2/945 binary64)))) (-.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -2/945 binary64)))) (.f64 (.f64 x x) #s(literal -1/45 binary64)))))))
(.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal -2/945 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))))
(.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/91125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -8/843908625 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2025 binary64) (.f64 x (.f64 (.f64 x #s(literal -2/945 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal -2/945 binary64)) #s(literal 1/45 binary64)))))))
(.f64 (.f64 x (.f64 x (-.f64 #s(literal 1/2025 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/893025 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/45 binary64) (.f64 (*.f64 x x) #s(literal 2/945 binary64)))))
(.f64 (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/91125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -8/843908625 binary64))))) (+.f64 #s(literal 1/8303765625 binary64) (.f64 (.f64 x (.f64 (.f64 x #s(literal -2/945 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal -2/945 binary64)) #s(literal 1/45 binary64)))) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/893025 binary64)))) (.f64 (+.f64 (.f64 (.f64 x x) #s(literal -2/945 binary64)) #s(literal 1/45 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal -2/945 binary64)) #s(literal 1/45 binary64))))))) (+.f64 #s(literal 1/4100625 binary64) (.f64 (.f64 x (.f64 (.f64 x #s(literal -2/945 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal -2/945 binary64)) #s(literal 1/45 binary64)))) (-.f64 (.f64 x (.f64 (.f64 x #s(literal -2/945 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal -2/945 binary64)) #s(literal 1/45 binary64)))) #s(literal 1/2025 binary64)))))
(.f64 (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/91125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -8/843908625 binary64))))) (-.f64 #s(literal 1/4100625 binary64) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/893025 binary64)))) (.f64 (+.f64 (.f64 (.f64 x x) #s(literal -2/945 binary64)) #s(literal 1/45 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal -2/945 binary64)) #s(literal 1/45 binary64)))))) (+.f64 #s(literal 1/2025 binary64) (.f64 (.f64 (.f64 x x) #s(literal 2/945 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal -2/945 binary64)) #s(literal 1/45 binary64)))))
(.f64 (/.f64 (.f64 x (.f64 x (-.f64 #s(literal 1/2025 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/893025 binary64))))))) (-.f64 #s(literal 1/2025 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/893025 binary64)))))) (+.f64 #s(literal -1/45 binary64) (.f64 (*.f64 x x) #s(literal -2/945 binary64))))
(.f64 (/.f64 (.f64 x (.f64 x (-.f64 #s(literal 1/2025 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/893025 binary64))))))) (-.f64 #s(literal -1/91125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -8/843908625 binary64))))) (+.f64 #s(literal 1/2025 binary64) (.f64 #s(literal -2/945 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal -2/945 binary64)))))))
(*.f64 x #s(literal -2/945 binary64))
(*.f64 #s(literal -2/945 binary64) x)
(.f64 x (.f64 x #s(literal -2/945 binary64)))
(.f64 (.f64 x x) #s(literal -2/945 binary64))
(.f64 #s(literal -2/945 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal -2/945 binary64)) x)

simplify194.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

2644×	`-lowering-.f32`
2644×	`-lowering-.f64`
1732×	`fma-define`
1206×	`fma-lowering-fma.f32`
1206×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	54	753
1	161	604
2	475	604
3	1240	600
4	2907	598
5	7687	598
0	8029	598

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

Inputs
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
1/3
(+ 1/3 (* 1/45 (pow x 2)))
(+ 1/3 (* 1/45 (pow x 2)))
(+ 1/3 (* 1/45 (pow x 2)))
(* 1/45 (pow x 2))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/45 (pow x 2))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* 2/945 (pow x 5))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* 2/945 (pow x 5))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))
1/3
(+ 1/3 (* 1/45 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))
(* 2/945 (pow x 4))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* 2/945 (pow x 4))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* -1/45 (pow x 2))
(* (pow x 2) (- (* -2/945 (pow x 2)) 1/45))
(* (pow x 2) (- (* -2/945 (pow x 2)) 1/45))
(* (pow x 2) (- (* -2/945 (pow x 2)) 1/45))
(* -2/945 (pow x 4))
(* -1 (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))
(* -2/945 (pow x 4))
(* -1 (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))
(* -2/945 x)
(* -2/945 x)
(* -2/945 x)
(* -2/945 x)
(* -2/945 x)
(* -2/945 x)
(* -2/945 x)
(* -2/945 x)
(* -2/945 x)
(* -2/945 x)
(* -2/945 x)
(* -2/945 x)
(* -2/945 (pow x 2))
(* -2/945 (pow x 2))
(* -2/945 (pow x 2))
(* -2/945 (pow x 2))
(* -2/945 (pow x 2))
(* -2/945 (pow x 2))
(* -2/945 (pow x 2))
(* -2/945 (pow x 2))
(* -2/945 (pow x 2))
(* -2/945 (pow x 2))
(* -2/945 (pow x 2))
(* -2/945 (pow x 2))

Outputs
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/45 binary64)))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/45 binary64)))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/45 binary64)))))
(* 1/45 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/45 binary64))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/45 binary64)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/45 binary64)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/45 binary64)))))
(* 1/45 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/45 binary64))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/45 binary64)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/45 binary64)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/45 binary64)))))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/45 (pow x 2)))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64))))
(+ 1/3 (* 1/45 (pow x 2)))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64))))
(+ 1/3 (* 1/45 (pow x 2)))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64))))
(* 1/45 (pow x 2))
(.f64 x (.f64 x #s(literal 1/45 binary64)))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64))))
(* 1/45 (pow x 2))
(.f64 x (.f64 x #s(literal 1/45 binary64)))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64))))
(* -1/45 (pow x 2))
(.f64 x (.f64 x #s(literal -1/45 binary64)))
(* -1/45 (pow x 2))
(.f64 x (.f64 x #s(literal -1/45 binary64)))
(* -1/45 (pow x 2))
(.f64 x (.f64 x #s(literal -1/45 binary64)))
(* -1/45 (pow x 2))
(.f64 x (.f64 x #s(literal -1/45 binary64)))
(* -1/45 (pow x 2))
(.f64 x (.f64 x #s(literal -1/45 binary64)))
(* -1/45 (pow x 2))
(.f64 x (.f64 x #s(literal -1/45 binary64)))
(* -1/45 (pow x 2))
(.f64 x (.f64 x #s(literal -1/45 binary64)))
(* -1/45 (pow x 2))
(.f64 x (.f64 x #s(literal -1/45 binary64)))
(* -1/45 (pow x 2))
(.f64 x (.f64 x #s(literal -1/45 binary64)))
(* -1/45 (pow x 2))
(.f64 x (.f64 x #s(literal -1/45 binary64)))
(* -1/45 (pow x 2))
(.f64 x (.f64 x #s(literal -1/45 binary64)))
(* -1/45 (pow x 2))
(.f64 x (.f64 x #s(literal -1/45 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 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/45 binary64)))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (*.f64 x x) #s(literal 2/945 binary64))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (*.f64 x x) #s(literal 2/945 binary64))))))
(* 2/945 (pow x 5))
(.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 2/945 binary64)))))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (*.f64 x x) #s(literal 2/945 binary64)))))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (*.f64 x x) #s(literal 2/945 binary64))))))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (*.f64 x x) #s(literal 2/945 binary64))))))
(* 2/945 (pow x 5))
(.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 2/945 binary64)))))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (*.f64 x x) #s(literal 2/945 binary64)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (*.f64 x x) #s(literal 2/945 binary64))))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (*.f64 x x) #s(literal 2/945 binary64))))))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/45 (pow x 2)))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64))))
(+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))
(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))))
(+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))
(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))))
(* 2/945 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 2/945 binary64))))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))))
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))))
(* 2/945 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 2/945 binary64))))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))))
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))))
(* -1/45 (pow x 2))
(.f64 x (.f64 x #s(literal -1/45 binary64)))
(* (pow x 2) (- (* -2/945 (pow x 2)) 1/45))
(.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 x (.f64 x #s(literal -2/945 binary64)))))
(* (pow x 2) (- (* -2/945 (pow x 2)) 1/45))
(.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 x (.f64 x #s(literal -2/945 binary64)))))
(* (pow x 2) (- (* -2/945 (pow x 2)) 1/45))
(.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 x (.f64 x #s(literal -2/945 binary64)))))
(* -2/945 (pow x 4))
(.f64 x (.f64 x (.f64 x (.f64 x #s(literal -2/945 binary64)))))
(* -1 (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 x (.f64 x #s(literal -2/945 binary64)))))
(* -1 (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 x (.f64 x #s(literal -2/945 binary64)))))
(* -1 (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 x (.f64 x #s(literal -2/945 binary64)))))
(* -2/945 (pow x 4))
(.f64 x (.f64 x (.f64 x (.f64 x #s(literal -2/945 binary64)))))
(* -1 (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 x (.f64 x #s(literal -2/945 binary64)))))
(* -1 (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 x (.f64 x #s(literal -2/945 binary64)))))
(* -1 (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 x (.f64 x #s(literal -2/945 binary64)))))
(* -2/945 x)
(*.f64 x #s(literal -2/945 binary64))
(* -2/945 x)
(*.f64 x #s(literal -2/945 binary64))
(* -2/945 x)
(*.f64 x #s(literal -2/945 binary64))
(* -2/945 x)
(*.f64 x #s(literal -2/945 binary64))
(* -2/945 x)
(*.f64 x #s(literal -2/945 binary64))
(* -2/945 x)
(*.f64 x #s(literal -2/945 binary64))
(* -2/945 x)
(*.f64 x #s(literal -2/945 binary64))
(* -2/945 x)
(*.f64 x #s(literal -2/945 binary64))
(* -2/945 x)
(*.f64 x #s(literal -2/945 binary64))
(* -2/945 x)
(*.f64 x #s(literal -2/945 binary64))
(* -2/945 x)
(*.f64 x #s(literal -2/945 binary64))
(* -2/945 x)
(*.f64 x #s(literal -2/945 binary64))
(* -2/945 (pow x 2))
(.f64 x (.f64 x #s(literal -2/945 binary64)))
(* -2/945 (pow x 2))
(.f64 x (.f64 x #s(literal -2/945 binary64)))
(* -2/945 (pow x 2))
(.f64 x (.f64 x #s(literal -2/945 binary64)))
(* -2/945 (pow x 2))
(.f64 x (.f64 x #s(literal -2/945 binary64)))
(* -2/945 (pow x 2))
(.f64 x (.f64 x #s(literal -2/945 binary64)))
(* -2/945 (pow x 2))
(.f64 x (.f64 x #s(literal -2/945 binary64)))
(* -2/945 (pow x 2))
(.f64 x (.f64 x #s(literal -2/945 binary64)))
(* -2/945 (pow x 2))
(.f64 x (.f64 x #s(literal -2/945 binary64)))
(* -2/945 (pow x 2))
(.f64 x (.f64 x #s(literal -2/945 binary64)))
(* -2/945 (pow x 2))
(.f64 x (.f64 x #s(literal -2/945 binary64)))
(* -2/945 (pow x 2))
(.f64 x (.f64 x #s(literal -2/945 binary64)))
(* -2/945 (pow x 2))
(.f64 x (.f64 x #s(literal -2/945 binary64)))

eval51.0ms (0.4%)

Compiler: Compiled 15010 to 1069 computations (92.9% saved)

prune39.0ms (0.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	420	5	425
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	420	8	428

Accuracy

100.0%

Counts

428 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(/.f64 (.f64 (+.f64 #s(literal -1/9 binary64) (.f64 x (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal -2/945 binary64)))) (.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal -2/945 binary64))))))) x) (+.f64 (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)))) #s(literal -1/3 binary64)))
▶	99.5%	(/.f64 (.f64 x (-.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/91125 binary64) (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/135 binary64)))))
▶	99.8%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/45 binary64)))))
▶	99.3%	(+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/45 binary64))) (.f64 #s(literal 1/3 binary64) x))
▶	99.2%	(.f64 (.f64 x (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/2025 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64)))))
✓	99.5%	(.f64 x (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 x (*.f64 x #s(literal -2/945 binary64)))))))
✓	99.3%	(.f64 x (-.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal -1/45 binary64))))
✓	98.3%	(*.f64 #s(literal 1/3 binary64) x)

Compiler

Compiled 274 to 165 computations (39.8% saved)

simplify211.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal -2/945 binary64)))) (.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 (*.f64 x x) #s(literal -2/945 binary64))))))
✓	cost-diff	0	(+.f64 #s(literal -1/9 binary64) (.f64 x (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal -2/945 binary64)))) (.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 (*.f64 x x) #s(literal -2/945 binary64)))))))
✓	cost-diff	0	(.f64 (+.f64 #s(literal -1/9 binary64) (.f64 x (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal -2/945 binary64)))) (.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal -2/945 binary64))))))) x)
✓	cost-diff	0	(/.f64 (.f64 (+.f64 #s(literal -1/9 binary64) (.f64 x (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal -2/945 binary64)))) (.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal -2/945 binary64))))))) x) (+.f64 (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)))) #s(literal -1/3 binary64)))
✓	cost-diff	0	(.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/91125 binary64) (.f64 x (.f64 x x))))
✓	cost-diff	0	(-.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/91125 binary64) (.f64 x (.f64 x x)))))
✓	cost-diff	0	(.f64 x (-.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/91125 binary64) (.f64 x (*.f64 x x))))))
✓	cost-diff	0	(/.f64 (.f64 x (-.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/91125 binary64) (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/135 binary64)))))
✓	cost-diff	0	(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/2025 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/2025 binary64)))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/2025 binary64))))
✓	cost-diff	128	(.f64 (.f64 x (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/2025 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64)))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal 1/45 binary64))
✓	cost-diff	0	(.f64 x (.f64 (*.f64 x x) #s(literal 1/45 binary64)))
✓	cost-diff	128	(+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/45 binary64))) (.f64 #s(literal 1/3 binary64) x))
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal 1/45 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/45 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/45 binary64))))
✓	cost-diff	128	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/45 binary64)))))

Rules

5096×	`+-lowering-+.f64`
5096×	`+-lowering-+.f32`
2754×	`-lowering-.f32`
2754×	`-lowering-.f64`
1378×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	55	426
1	170	378
2	565	325
3	1740	325
4	4341	325
5	7745	325
0	8039	325

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ x (/ 1 (+ 1/3 (* (* x x) 1/45))))
x
(/ 1 (+ 1/3 (* (* x x) 1/45)))
1
(+ 1/3 (* (* x x) 1/45))
1/3
(* (* x x) 1/45)
(* x x)
1/45
(+ (* x (* (* x x) 1/45)) (* 1/3 x))
(* x (* (* x x) 1/45))
x
(* (* x x) 1/45)
(* x x)
1/45
(* 1/3 x)
1/3
(* (* x (+ 1/9 (* (* x (* x (* x x))) -1/2025))) (/ 1 (+ 1/3 (* (* x x) -1/45))))
(* x (+ 1/9 (* (* x (* x (* x x))) -1/2025)))
x
(+ 1/9 (* (* x (* x (* x x))) -1/2025))
1/9
(* (* x (* x (* x x))) -1/2025)
(* x (* x (* x x)))
(* x (* x x))
(* x x)
-1/2025
(/ 1 (+ 1/3 (* (* x x) -1/45)))
1
(+ 1/3 (* (* x x) -1/45))
1/3
(* (* x x) -1/45)
-1/45
(/ (* x (- 1/27 (* (* x (* x x)) (* -1/91125 (* x (* x x)))))) (+ 1/9 (* (* x x) (+ (* (* x x) 1/2025) -1/135))))
(* x (- 1/27 (* (* x (* x x)) (* -1/91125 (* x (* x x))))))
x
(- 1/27 (* (* x (* x x)) (* -1/91125 (* x (* x x)))))
1/27
(* (* x (* x x)) (* -1/91125 (* x (* x x))))
(* x (* x x))
(* x x)
(* -1/91125 (* x (* x x)))
-1/91125
(+ 1/9 (* (* x x) (+ (* (* x x) 1/2025) -1/135)))
1/9
(* (* x x) (+ (* (* x x) 1/2025) -1/135))
(+ (* (* x x) 1/2025) -1/135)
(* (* x x) 1/2025)
1/2025
-1/135
(/ (* (+ -1/9 (* x (* (* (* x x) (+ -1/45 (* (* x x) -2/945))) (* x (+ -1/45 (* (* x x) -2/945)))))) x) (+ (* x (* x (+ (* (* x x) 2/945) 1/45))) -1/3))
(* (+ -1/9 (* x (* (* (* x x) (+ -1/45 (* (* x x) -2/945))) (* x (+ -1/45 (* (* x x) -2/945)))))) x)
(+ -1/9 (* x (* (* (* x x) (+ -1/45 (* (* x x) -2/945))) (* x (+ -1/45 (* (* x x) -2/945))))))
-1/9
(* x (* (* (* x x) (+ -1/45 (* (* x x) -2/945))) (* x (+ -1/45 (* (* x x) -2/945)))))
x
(* (* (* x x) (+ -1/45 (* (* x x) -2/945))) (* x (+ -1/45 (* (* x x) -2/945))))
(* (* x x) (+ -1/45 (* (* x x) -2/945)))
(* x x)
(+ -1/45 (* (* x x) -2/945))
-1/45
(* (* x x) -2/945)
-2/945
(* x (+ -1/45 (* (* x x) -2/945)))
(+ (* x (* x (+ (* (* x x) 2/945) 1/45))) -1/3)
(* x (* x (+ (* (* x x) 2/945) 1/45)))
(* x (+ (* (* x x) 2/945) 1/45))
(+ (* (* x x) 2/945) 1/45)
(* (* x x) 2/945)
2/945
1/45
-1/3

Outputs
(/ x (/ 1 (+ 1/3 (* (* x x) 1/45))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/45 binary64))))
x
(/ 1 (+ 1/3 (* (* x x) 1/45)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/45 binary64))))
1
#s(literal 1 binary64)
(+ 1/3 (* (* x x) 1/45))
(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/45 binary64)))
1/3
#s(literal 1/3 binary64)
(* (* x x) 1/45)
(.f64 (.f64 x x) #s(literal 1/45 binary64))
(* x x)
(*.f64 x x)
1/45
#s(literal 1/45 binary64)
(+ (* x (* (* x x) 1/45)) (* 1/3 x))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/45 binary64))))
(* x (* (* x x) 1/45))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/45 binary64)))
x
(* (* x x) 1/45)
(.f64 (.f64 x x) #s(literal 1/45 binary64))
(* x x)
(*.f64 x x)
1/45
#s(literal 1/45 binary64)
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
(* (* x (+ 1/9 (* (* x (* x (* x x))) -1/2025))) (/ 1 (+ 1/3 (* (* x x) -1/45))))
(.f64 (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/2025 binary64))) (/.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal -1/45 binary64)))))
(* x (+ 1/9 (* (* x (* x (* x x))) -1/2025)))
(.f64 x (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/2025 binary64))))
x
(+ 1/9 (* (* x (* x (* x x))) -1/2025))
(+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/2025 binary64)))
1/9
#s(literal 1/9 binary64)
(* (* x (* x (* x x))) -1/2025)
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/2025 binary64))
(* x (* x (* x x)))
(.f64 x (.f64 x (*.f64 x x)))
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
-1/2025
#s(literal -1/2025 binary64)
(/ 1 (+ 1/3 (* (* x x) -1/45)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64))))
1
#s(literal 1 binary64)
(+ 1/3 (* (* x x) -1/45))
(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64)))
1/3
#s(literal 1/3 binary64)
(* (* x x) -1/45)
(.f64 (.f64 x x) #s(literal -1/45 binary64))
-1/45
#s(literal -1/45 binary64)
(/ (* x (- 1/27 (* (* x (* x x)) (* -1/91125 (* x (* x x)))))) (+ 1/9 (* (* x x) (+ (* (* x x) 1/2025) -1/135))))
(/.f64 (.f64 x (-.f64 #s(literal 1/27 binary64) (.f64 #s(literal -1/91125 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/135 binary64) (.f64 (*.f64 x x) #s(literal 1/2025 binary64))))))
(* x (- 1/27 (* (* x (* x x)) (* -1/91125 (* x (* x x))))))
(.f64 x (-.f64 #s(literal 1/27 binary64) (.f64 #s(literal -1/91125 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))))
x
(- 1/27 (* (* x (* x x)) (* -1/91125 (* x (* x x)))))
(-.f64 #s(literal 1/27 binary64) (.f64 #s(literal -1/91125 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))
1/27
#s(literal 1/27 binary64)
(* (* x (* x x)) (* -1/91125 (* x (* x x))))
(.f64 #s(literal -1/91125 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
(* -1/91125 (* x (* x x)))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/91125 binary64))
-1/91125
#s(literal -1/91125 binary64)
(+ 1/9 (* (* x x) (+ (* (* x x) 1/2025) -1/135)))
(+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/135 binary64) (.f64 (.f64 x x) #s(literal 1/2025 binary64)))))
1/9
#s(literal 1/9 binary64)
(* (* x x) (+ (* (* x x) 1/2025) -1/135))
(.f64 (.f64 x x) (+.f64 #s(literal -1/135 binary64) (.f64 (.f64 x x) #s(literal 1/2025 binary64))))
(+ (* (* x x) 1/2025) -1/135)
(+.f64 #s(literal -1/135 binary64) (.f64 (.f64 x x) #s(literal 1/2025 binary64)))
(* (* x x) 1/2025)
(.f64 (.f64 x x) #s(literal 1/2025 binary64))
1/2025
#s(literal 1/2025 binary64)
-1/135
#s(literal -1/135 binary64)
(/ (* (+ -1/9 (* x (* (* (* x x) (+ -1/45 (* (* x x) -2/945))) (* x (+ -1/45 (* (* x x) -2/945)))))) x) (+ (* x (* x (+ (* (* x x) 2/945) 1/45))) -1/3))
(/.f64 (.f64 x (+.f64 #s(literal -1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal -2/945 binary64))) (.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal -2/945 binary64)))))))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 x (.f64 x #s(literal 2/945 binary64))))) #s(literal -1/3 binary64)))
(* (+ -1/9 (* x (* (* (* x x) (+ -1/45 (* (* x x) -2/945))) (* x (+ -1/45 (* (* x x) -2/945)))))) x)
(.f64 x (+.f64 #s(literal -1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal -2/945 binary64))) (.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal -2/945 binary64))))))))
(+ -1/9 (* x (* (* (* x x) (+ -1/45 (* (* x x) -2/945))) (* x (+ -1/45 (* (* x x) -2/945))))))
(+.f64 #s(literal -1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal -2/945 binary64))) (.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 (*.f64 x x) #s(literal -2/945 binary64)))))))
-1/9
#s(literal -1/9 binary64)
(* x (* (* (* x x) (+ -1/45 (* (* x x) -2/945))) (* x (+ -1/45 (* (* x x) -2/945)))))
(.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal -2/945 binary64))) (.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 (*.f64 x x) #s(literal -2/945 binary64))))))
x
(* (* (* x x) (+ -1/45 (* (* x x) -2/945))) (* x (+ -1/45 (* (* x x) -2/945))))
(.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal -2/945 binary64))) (.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal -2/945 binary64))))))
(* (* x x) (+ -1/45 (* (* x x) -2/945)))
(.f64 x (.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal -2/945 binary64)))))
(* x x)
(*.f64 x x)
(+ -1/45 (* (* x x) -2/945))
(+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal -2/945 binary64)))
-1/45
#s(literal -1/45 binary64)
(* (* x x) -2/945)
(.f64 (.f64 x x) #s(literal -2/945 binary64))
-2/945
#s(literal -2/945 binary64)
(* x (+ -1/45 (* (* x x) -2/945)))
(.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 (*.f64 x x) #s(literal -2/945 binary64))))
(+ (* x (* x (+ (* (* x x) 2/945) 1/45))) -1/3)
(+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 x (.f64 x #s(literal 2/945 binary64))))) #s(literal -1/3 binary64))
(* x (* x (+ (* (* x x) 2/945) 1/45)))
(.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 x (.f64 x #s(literal 2/945 binary64)))))
(* x (+ (* (* x x) 2/945) 1/45))
(.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 x (*.f64 x #s(literal 2/945 binary64)))))
(+ (* (* x x) 2/945) 1/45)
(+.f64 #s(literal 1/45 binary64) (.f64 x (.f64 x #s(literal 2/945 binary64))))
(* (* x x) 2/945)
(.f64 x (.f64 x #s(literal 2/945 binary64)))
2/945
#s(literal 2/945 binary64)
1/45
#s(literal 1/45 binary64)
-1/3
#s(literal -1/3 binary64)

localize329.0ms (2.5%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)))
✓	accuracy	99.6%	(.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 (*.f64 x x) #s(literal -2/945 binary64))))
✓	accuracy	99.5%	(/.f64 (.f64 (+.f64 #s(literal -1/9 binary64) (.f64 x (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal -2/945 binary64)))) (.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal -2/945 binary64))))))) x) (+.f64 (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)))) #s(literal -1/3 binary64)))
✓	accuracy	99.5%	(.f64 (+.f64 #s(literal -1/9 binary64) (.f64 x (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal -2/945 binary64)))) (.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal -2/945 binary64))))))) x)
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 1/2025 binary64))
✓	accuracy	99.7%	(.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/135 binary64)))
✓	accuracy	99.5%	(.f64 x (-.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/91125 binary64) (.f64 x (*.f64 x x))))))
✓	accuracy	99.4%	(/.f64 (.f64 x (-.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/91125 binary64) (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/135 binary64)))))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal -1/45 binary64))
✓	accuracy	99.5%	(.f64 (.f64 x (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/2025 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64)))))
✓	accuracy	99.5%	(.f64 x (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/2025 binary64))))
✓	accuracy	100.0%	(+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/45 binary64))) (.f64 #s(literal 1/3 binary64) x))
✓	accuracy	99.9%	(.f64 x (.f64 (*.f64 x x) #s(literal 1/45 binary64)))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/45 binary64))
✓	accuracy	99.5%	(*.f64 #s(literal 1/3 binary64) x)
✓	accuracy	100.0%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/45 binary64)))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/45 binary64))))
✓	accuracy	100.0%	(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/45 binary64)))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/45 binary64))

Results

242.0ms

256×

valid

Compiler

Compiled 528 to 56 computations (89.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 132.0ms

...c/correct-round.rkt:119:19: 65.0ms (49.1% of total)

ival-mult: 43.0ms (32.5% of total)

ival-add: 13.0ms (9.8% of total)

ival-div: 9.0ms (6.8% of total)

ival-sub: 1.0ms (0.8% of total)

const: 1.0ms (0.8% of total)

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

series24.0ms (0.2%)

Counts

26 → 312

Calls

Call 1

Inputs
#<alt (/ x (/ 1 (+ 1/3 (* (* x x) 1/45))))>
#<alt (/ 1 (+ 1/3 (* (* x x) 1/45)))>
#<alt (+ 1/3 (* (* x x) 1/45))>
#<alt (* (* x x) 1/45)>
#<alt (+ (* x (* (* x x) 1/45)) (* 1/3 x))>
#<alt (* x (* (* x x) 1/45))>
#<alt (* x x)>
#<alt (* (* x (+ 1/9 (* (* x (* x (* x x))) -1/2025))) (/ 1 (+ 1/3 (* (* x x) -1/45))))>
#<alt (* x (+ 1/9 (* (* x (* x (* x x))) -1/2025)))>
#<alt (+ 1/9 (* (* x (* x (* x x))) -1/2025))>
#<alt (* (* x (* x (* x x))) -1/2025)>
#<alt (/ (* x (- 1/27 (* (* x (* x x)) (* -1/91125 (* x (* x x)))))) (+ 1/9 (* (* x x) (+ (* (* x x) 1/2025) -1/135))))>
#<alt (* x (- 1/27 (* (* x (* x x)) (* -1/91125 (* x (* x x))))))>
#<alt (- 1/27 (* (* x (* x x)) (* -1/91125 (* x (* x x)))))>
#<alt (* (* x (* x x)) (* -1/91125 (* x (* x x))))>
#<alt (/ (* (+ -1/9 (* x (* (* (* x x) (+ -1/45 (* (* x x) -2/945))) (* x (+ -1/45 (* (* x x) -2/945)))))) x) (+ (* x (* x (+ (* (* x x) 2/945) 1/45))) -1/3))>
#<alt (* (+ -1/9 (* x (* (* (* x x) (+ -1/45 (* (* x x) -2/945))) (* x (+ -1/45 (* (* x x) -2/945)))))) x)>
#<alt (+ -1/9 (* x (* (* (* x x) (+ -1/45 (* (* x x) -2/945))) (* x (+ -1/45 (* (* x x) -2/945))))))>
#<alt (* x (* (* (* x x) (+ -1/45 (* (* x x) -2/945))) (* x (+ -1/45 (* (* x x) -2/945)))))>
#<alt (* 1/3 x)>
#<alt (* (* x x) -1/45)>
#<alt (* x (* x x))>
#<alt (* (* x x) (+ (* (* x x) 1/2025) -1/135))>
#<alt (* (* x x) 1/2025)>
#<alt (* x (+ -1/45 (* (* x x) -2/945)))>
#<alt (* x (+ (* (* x x) 2/945) 1/45))>

Outputs
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* 1/45 (pow x 3))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/45 (pow x 3))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt 3>
#<alt (+ 3 (* -1/5 (pow x 2)))>
#<alt (+ 3 (* (pow x 2) (- (* 1/75 (pow x 2)) 1/5)))>
#<alt (+ 3 (* (pow x 2) (- (* (pow x 2) (+ 1/75 (* -1/1125 (pow x 2)))) 1/5)))>
#<alt (/ 45 (pow x 2))>
#<alt (/ (- 45 (* 675 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 45 (/ 10125 (pow x 4))) (* 675 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 45 (/ 10125 (pow x 4))) (+ (* 675 (/ 1 (pow x 2))) (* 151875 (/ 1 (pow x 6))))) (pow x 2))>
#<alt (/ 45 (pow x 2))>
#<alt (/ (- 45 (* 675 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 45 (/ 10125 (pow x 4))) (* 675 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 45 (/ 10125 (pow x 4))) (+ (* 675 (/ 1 (pow x 2))) (* 151875 (/ 1 (pow x 6))))) (pow x 2))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/45 (pow x 2)))>
#<alt (+ 1/3 (* 1/45 (pow x 2)))>
#<alt (+ 1/3 (* 1/45 (pow x 2)))>
#<alt (* 1/45 (pow x 2))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/45 (pow x 2))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/45 (pow x 2))>
#<alt (* 1/45 (pow x 2))>
#<alt (* 1/45 (pow x 2))>
#<alt (* 1/45 (pow x 2))>
#<alt (* 1/45 (pow x 2))>
#<alt (* 1/45 (pow x 2))>
#<alt (* 1/45 (pow x 2))>
#<alt (* 1/45 (pow x 2))>
#<alt (* 1/45 (pow x 2))>
#<alt (* 1/45 (pow x 2))>
#<alt (* 1/45 (pow x 2))>
#<alt (* 1/45 (pow x 2))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* 1/45 (pow x 3))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/45 (pow x 3))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/45 (pow x 3))>
#<alt (* 1/45 (pow x 3))>
#<alt (* 1/45 (pow x 3))>
#<alt (* 1/45 (pow x 3))>
#<alt (* 1/45 (pow x 3))>
#<alt (* 1/45 (pow x 3))>
#<alt (* 1/45 (pow x 3))>
#<alt (* 1/45 (pow x 3))>
#<alt (* 1/45 (pow x 3))>
#<alt (* 1/45 (pow x 3))>
#<alt (* 1/45 (pow x 3))>
#<alt (* 1/45 (pow x 3))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* 1/45 (pow x 3))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/45 (pow x 3))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/9 x)>
#<alt (* x (+ 1/9 (* -1/2025 (pow x 4))))>
#<alt (* x (+ 1/9 (* -1/2025 (pow x 4))))>
#<alt (* x (+ 1/9 (* -1/2025 (pow x 4))))>
#<alt (* -1/2025 (pow x 5))>
#<alt (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))>
#<alt (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))>
#<alt (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))>
#<alt (* -1/2025 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4))))))>
#<alt 1/9>
#<alt (+ 1/9 (* -1/2025 (pow x 4)))>
#<alt (+ 1/9 (* -1/2025 (pow x 4)))>
#<alt (+ 1/9 (* -1/2025 (pow x 4)))>
#<alt (* -1/2025 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))>
#<alt (* (pow x 4) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))>
#<alt (* (pow x 4) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))>
#<alt (* -1/2025 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))>
#<alt (* (pow x 4) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))>
#<alt (* (pow x 4) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))>
#<alt (* -1/2025 (pow x 4))>
#<alt (* -1/2025 (pow x 4))>
#<alt (* -1/2025 (pow x 4))>
#<alt (* -1/2025 (pow x 4))>
#<alt (* -1/2025 (pow x 4))>
#<alt (* -1/2025 (pow x 4))>
#<alt (* -1/2025 (pow x 4))>
#<alt (* -1/2025 (pow x 4))>
#<alt (* -1/2025 (pow x 4))>
#<alt (* -1/2025 (pow x 4))>
#<alt (* -1/2025 (pow x 4))>
#<alt (* -1/2025 (pow x 4))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* 1/45 (pow x 3))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/45 (pow x 3))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/27 x)>
#<alt (* x (+ 1/27 (* 1/91125 (pow x 6))))>
#<alt (* x (+ 1/27 (* 1/91125 (pow x 6))))>
#<alt (* x (+ 1/27 (* 1/91125 (pow x 6))))>
#<alt (* 1/91125 (pow x 7))>
#<alt (* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))>
#<alt (* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))>
#<alt (* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))>
#<alt (* 1/91125 (pow x 7))>
#<alt (* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))>
#<alt (* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))>
#<alt (* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))>
#<alt 1/27>
#<alt (+ 1/27 (* 1/91125 (pow x 6)))>
#<alt (+ 1/27 (* 1/91125 (pow x 6)))>
#<alt (+ 1/27 (* 1/91125 (pow x 6)))>
#<alt (* 1/91125 (pow x 6))>
#<alt (* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))>
#<alt (* 1/91125 (pow x 6))>
#<alt (* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))>
#<alt (* -1/91125 (pow x 6))>
#<alt (* -1/91125 (pow x 6))>
#<alt (* -1/91125 (pow x 6))>
#<alt (* -1/91125 (pow x 6))>
#<alt (* -1/91125 (pow x 6))>
#<alt (* -1/91125 (pow x 6))>
#<alt (* -1/91125 (pow x 6))>
#<alt (* -1/91125 (pow x 6))>
#<alt (* -1/91125 (pow x 6))>
#<alt (* -1/91125 (pow x 6))>
#<alt (* -1/91125 (pow x 6))>
#<alt (* -1/91125 (pow x 6))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))>
#<alt (* 2/945 (pow x 5))>
#<alt (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* 2/945 (pow x 5))>
#<alt (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))>
#<alt (* -1/9 x)>
#<alt (* x (- (* 1/2025 (pow x 4)) 1/9))>
#<alt (* x (- (* (pow x 4) (+ 1/2025 (* 4/42525 (pow x 2)))) 1/9))>
#<alt (* x (- (* (pow x 4) (+ 1/2025 (* (pow x 2) (+ 4/42525 (* 4/893025 (pow x 2)))))) 1/9))>
#<alt (* 4/893025 (pow x 9))>
#<alt (* (pow x 9) (+ 4/893025 (* 4/42525 (/ 1 (pow x 2)))))>
#<alt (* (pow x 9) (+ 4/893025 (+ (/ 1/2025 (pow x 4)) (* 4/42525 (/ 1 (pow x 2))))))>
#<alt (* (pow x 9) (- (+ 4/893025 (+ (/ 1/2025 (pow x 4)) (* 4/42525 (/ 1 (pow x 2))))) (* 1/9 (/ 1 (pow x 8)))))>
#<alt (* 4/893025 (pow x 9))>
#<alt (* (pow x 9) (+ 4/893025 (* 4/42525 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 9) (- (* -1 (/ (+ 4/42525 (* 1/2025 (/ 1 (pow x 2)))) (pow x 2))) 4/893025)))>
#<alt (* -1 (* (pow x 9) (- (* 1/9 (/ 1 (pow x 8))) (+ 4/893025 (+ (/ 1/2025 (pow x 4)) (* 4/42525 (/ 1 (pow x 2))))))))>
#<alt -1/9>
#<alt (- (* 1/2025 (pow x 4)) 1/9)>
#<alt (- (* (pow x 4) (+ 1/2025 (* 4/42525 (pow x 2)))) 1/9)>
#<alt (- (* (pow x 4) (+ 1/2025 (* (pow x 2) (+ 4/42525 (* 4/893025 (pow x 2)))))) 1/9)>
#<alt (* 4/893025 (pow x 8))>
#<alt (* (pow x 8) (+ 4/893025 (* 4/42525 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 4/893025 (+ (/ 1/2025 (pow x 4)) (* 4/42525 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (- (+ 4/893025 (+ (/ 1/2025 (pow x 4)) (* 4/42525 (/ 1 (pow x 2))))) (* 1/9 (/ 1 (pow x 8)))))>
#<alt (* 4/893025 (pow x 8))>
#<alt (* (pow x 8) (+ 4/893025 (* 4/42525 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 4/893025 (+ (/ 1/2025 (pow x 4)) (* 4/42525 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (- (+ 4/893025 (+ (/ 1/2025 (pow x 4)) (* 4/42525 (/ 1 (pow x 2))))) (* 1/9 (/ 1 (pow x 8)))))>
#<alt (* 1/2025 (pow x 4))>
#<alt (* (pow x 4) (+ 1/2025 (* 4/42525 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/2025 (* (pow x 2) (+ 4/42525 (* 4/893025 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/2025 (* (pow x 2) (+ 4/42525 (* 4/893025 (pow x 2))))))>
#<alt (* 4/893025 (pow x 8))>
#<alt (* (pow x 8) (+ 4/893025 (* 4/42525 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 4/893025 (+ (/ 1/2025 (pow x 4)) (* 4/42525 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 4/893025 (+ (/ 1/2025 (pow x 4)) (* 4/42525 (/ 1 (pow x 2))))))>
#<alt (* 4/893025 (pow x 8))>
#<alt (* (pow x 8) (+ 4/893025 (* 4/42525 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 4/893025 (+ (/ 1/2025 (pow x 4)) (* 4/42525 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 4/893025 (+ (/ 1/2025 (pow x 4)) (* 4/42525 (/ 1 (pow x 2))))))>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (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 (* -1/135 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135))>
#<alt (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135))>
#<alt (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135))>
#<alt (* 1/2025 (pow x 4))>
#<alt (* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))>
#<alt (* 1/2025 (pow x 4))>
#<alt (* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))>
#<alt (* 1/2025 (pow x 2))>
#<alt (* 1/2025 (pow x 2))>
#<alt (* 1/2025 (pow x 2))>
#<alt (* 1/2025 (pow x 2))>
#<alt (* 1/2025 (pow x 2))>
#<alt (* 1/2025 (pow x 2))>
#<alt (* 1/2025 (pow x 2))>
#<alt (* 1/2025 (pow x 2))>
#<alt (* 1/2025 (pow x 2))>
#<alt (* 1/2025 (pow x 2))>
#<alt (* 1/2025 (pow x 2))>
#<alt (* 1/2025 (pow x 2))>
#<alt (* -1/45 x)>
#<alt (* x (- (* -2/945 (pow x 2)) 1/45))>
#<alt (* x (- (* -2/945 (pow x 2)) 1/45))>
#<alt (* x (- (* -2/945 (pow x 2)) 1/45))>
#<alt (* -2/945 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* -2/945 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* 1/45 x)>
#<alt (* x (+ 1/45 (* 2/945 (pow x 2))))>
#<alt (* x (+ 1/45 (* 2/945 (pow x 2))))>
#<alt (* x (+ 1/45 (* 2/945 (pow x 2))))>
#<alt (* 2/945 (pow x 3))>
#<alt (* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* 2/945 (pow x 3))>
#<alt (* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>

Calls

78 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(* x (- 1/27 (* (* x (* x x)) (* -1/91125 (* x (* x x))))))
1.0ms	x	@	inf	(/ (* x (- 1/27 (* (* x (* x x)) (* -1/91125 (* x (* x x)))))) (+ 1/9 (* (* x x) (+ (* (* x x) 1/2025) -1/135))))
1.0ms	x	@	0	(/ (* x (- 1/27 (* (* x (* x x)) (* -1/91125 (* x (* x x)))))) (+ 1/9 (* (* x x) (+ (* (* x x) 1/2025) -1/135))))
1.0ms	x	@	inf	(* (* x (+ 1/9 (* (* x (* x (* x x))) -1/2025))) (/ 1 (+ 1/3 (* (* x x) -1/45))))
1.0ms	x	@	inf	(/ (* (+ -1/9 (* x (* (* (* x x) (+ -1/45 (* (* x x) -2/945))) (* x (+ -1/45 (* (* x x) -2/945)))))) x) (+ (* x (* x (+ (* (* x x) 2/945) 1/45))) -1/3))

rewrite353.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

4090×	`-lowering-.f32`
4090×	`-lowering-.f64`
3458×	`/-lowering-/.f32`
3458×	`/-lowering-/.f64`
1392×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	55	267
1	344	230
2	2934	187
0	8648	187

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 737

Calls

Call 1

Inputs
(/ x (/ 1 (+ 1/3 (* (* x x) 1/45))))
(/ 1 (+ 1/3 (* (* x x) 1/45)))
(+ 1/3 (* (* x x) 1/45))
(* (* x x) 1/45)
(+ (* x (* (* x x) 1/45)) (* 1/3 x))
(* x (* (* x x) 1/45))
(* x x)
(* (* x (+ 1/9 (* (* x (* x (* x x))) -1/2025))) (/ 1 (+ 1/3 (* (* x x) -1/45))))
(* x (+ 1/9 (* (* x (* x (* x x))) -1/2025)))
(+ 1/9 (* (* x (* x (* x x))) -1/2025))
(* (* x (* x (* x x))) -1/2025)
(/ (* x (- 1/27 (* (* x (* x x)) (* -1/91125 (* x (* x x)))))) (+ 1/9 (* (* x x) (+ (* (* x x) 1/2025) -1/135))))
(* x (- 1/27 (* (* x (* x x)) (* -1/91125 (* x (* x x))))))
(- 1/27 (* (* x (* x x)) (* -1/91125 (* x (* x x)))))
(* (* x (* x x)) (* -1/91125 (* x (* x x))))
(/ (* (+ -1/9 (* x (* (* (* x x) (+ -1/45 (* (* x x) -2/945))) (* x (+ -1/45 (* (* x x) -2/945)))))) x) (+ (* x (* x (+ (* (* x x) 2/945) 1/45))) -1/3))
(* (+ -1/9 (* x (* (* (* x x) (+ -1/45 (* (* x x) -2/945))) (* x (+ -1/45 (* (* x x) -2/945)))))) x)
(+ -1/9 (* x (* (* (* x x) (+ -1/45 (* (* x x) -2/945))) (* x (+ -1/45 (* (* x x) -2/945))))))
(* x (* (* (* x x) (+ -1/45 (* (* x x) -2/945))) (* x (+ -1/45 (* (* x x) -2/945)))))
(* 1/3 x)
(* (* x x) -1/45)
(* x (* x x))
(* (* x x) (+ (* (* x x) 1/2025) -1/135))
(* (* x x) 1/2025)
(* x (+ -1/45 (* (* x x) -2/945)))
(* x (+ (* (* x x) 2/945) 1/45))

Outputs
(+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/45 binary64))) (.f64 x #s(literal 1/3 binary64)))
(+.f64 (.f64 x #s(literal 1/3 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 1/45 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/45 binary64)))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/2025 binary64)))))) (.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/2025 binary64)))))) (.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/45 binary64))))) (.f64 (/.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/45 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (.f64 x #s(literal 1/3 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 1/45 binary64))))) (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/2025 binary64)))))) (-.f64 (.f64 x #s(literal 1/3 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 1/45 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x #s(literal 1/2025 binary64))) #s(literal -1/135 binary64)))))) (.f64 (/.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/45 binary64)))))
(fma.f64 x #s(literal 1/3 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/45 binary64))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) x (.f64 x (.f64 (*.f64 x x) #s(literal 1/45 binary64))))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) x (*.f64 x #s(literal 1/3 binary64)))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/45 binary64) (*.f64 x #s(literal 1/3 binary64)))
(neg.f64 (.f64 (/.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/45 binary64)))))
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x #s(literal 1/2025 binary64))) #s(literal -1/135 binary64))))) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/45 binary64))))))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/45 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/45 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/2025 binary64)))))) (.f64 (.f64 x #s(literal 1/3 binary64)) (-.f64 (.f64 x #s(literal 1/3 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 1/45 binary64)))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/91125 binary64))))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) (.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/45 binary64)))) (.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/45 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/45 binary64))))))))
(/.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/45 binary64)))) #s(literal 1 binary64))
(/.f64 (.f64 x (-.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/91125 binary64)))))))) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x (*.f64 x #s(literal 1/2025 binary64))) #s(literal -1/135 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/45 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/2025 binary64)))))) (.f64 (.f64 x #s(literal 1/3 binary64)) (-.f64 (.f64 x #s(literal 1/3 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 1/45 binary64)))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/91125 binary64))))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) (.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/45 binary64)))) (.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/45 binary64))))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/45 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (-.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/91125 binary64))))))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x (*.f64 x #s(literal 1/2025 binary64))) #s(literal -1/135 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/91125 binary64))))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64))) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/2025 binary64)))))) (.f64 (.f64 x #s(literal 1/3 binary64)) (-.f64 (.f64 x #s(literal 1/3 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 1/45 binary64)))))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/91125 binary64))))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/2025 binary64)))))) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/45 binary64))) (*.f64 x #s(literal 1/3 binary64))))))
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(.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 (*.f64 x x) #s(literal -2/945 binary64))))
(.f64 (+.f64 #s(literal -1/45 binary64) (.f64 (*.f64 x x) #s(literal -2/945 binary64))) x)
(+.f64 (.f64 x #s(literal 1/45 binary64)) (.f64 x (.f64 x (.f64 x #s(literal 2/945 binary64)))))
(+.f64 (.f64 x (.f64 x (.f64 x #s(literal 2/945 binary64)))) (.f64 x #s(literal 1/45 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x #s(literal 2/945 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal 2/945 binary64))))) (-.f64 (.f64 x (.f64 x (.f64 x #s(literal 2/945 binary64)))) (.f64 x #s(literal 1/45 binary64)))) (/.f64 (.f64 (.f64 x #s(literal 1/45 binary64)) (.f64 x #s(literal 1/45 binary64))) (-.f64 (.f64 x (.f64 x (.f64 x #s(literal 2/945 binary64)))) (.f64 x #s(literal 1/45 binary64)))))
(fma.f64 x (.f64 x (.f64 x #s(literal 2/945 binary64))) (*.f64 x #s(literal 1/45 binary64)))
(fma.f64 (.f64 x (.f64 x #s(literal 2/945 binary64))) x (*.f64 x #s(literal 1/45 binary64)))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/843908625 binary64)))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/91125 binary64))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x #s(literal 2/945 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal 2/945 binary64))))) (-.f64 (.f64 (.f64 x #s(literal 1/45 binary64)) (.f64 x #s(literal 1/45 binary64))) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 2/945 binary64)))) (*.f64 x #s(literal 1/45 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x #s(literal 2/945 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal 2/945 binary64))))) (.f64 (.f64 x #s(literal 1/45 binary64)) (.f64 x #s(literal 1/45 binary64)))) (-.f64 (.f64 x (.f64 x (.f64 x #s(literal 2/945 binary64)))) (.f64 x #s(literal 1/45 binary64))))
(/.f64 (.f64 x (+.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/843908625 binary64))))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4/893025 binary64)) (-.f64 #s(literal 1/2025 binary64) (.f64 (*.f64 x x) #s(literal 2/42525 binary64)))))
(/.f64 (.f64 x (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4/893025 binary64)) #s(literal -1/2025 binary64))) (+.f64 (.f64 x (*.f64 x #s(literal 2/945 binary64))) #s(literal -1/45 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/843908625 binary64)))) x) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4/893025 binary64)) (-.f64 #s(literal 1/2025 binary64) (.f64 (*.f64 x x) #s(literal 2/42525 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4/893025 binary64)) #s(literal -1/2025 binary64)) x) (+.f64 (.f64 x (*.f64 x #s(literal 2/945 binary64))) #s(literal -1/45 binary64)))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/843908625 binary64)))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/91125 binary64)))) (neg.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x #s(literal 2/945 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal 2/945 binary64))))) (-.f64 (.f64 (.f64 x #s(literal 1/45 binary64)) (.f64 x #s(literal 1/45 binary64))) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 2/945 binary64)))) (*.f64 x #s(literal 1/45 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x #s(literal 2/945 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal 2/945 binary64))))) (.f64 (.f64 x #s(literal 1/45 binary64)) (.f64 x #s(literal 1/45 binary64))))) (neg.f64 (-.f64 (.f64 x (.f64 x (.f64 x #s(literal 2/945 binary64)))) (.f64 x #s(literal 1/45 binary64)))))
(/.f64 (neg.f64 (.f64 x (+.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/843908625 binary64)))))) (neg.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4/893025 binary64)) (-.f64 #s(literal 1/2025 binary64) (.f64 (*.f64 x x) #s(literal 2/42525 binary64))))))
(/.f64 (neg.f64 (.f64 x (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4/893025 binary64)) #s(literal -1/2025 binary64)))) (neg.f64 (+.f64 (.f64 x (*.f64 x #s(literal 2/945 binary64))) #s(literal -1/45 binary64))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/843908625 binary64)))) x)) (neg.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4/893025 binary64)) (-.f64 #s(literal 1/2025 binary64) (.f64 (*.f64 x x) #s(literal 2/42525 binary64))))))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4/893025 binary64)) #s(literal -1/2025 binary64)) x)) (neg.f64 (+.f64 (.f64 x (*.f64 x #s(literal 2/945 binary64))) #s(literal -1/45 binary64))))
(.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 x (*.f64 x #s(literal 2/945 binary64)))))
(.f64 (+.f64 #s(literal 1/45 binary64) (.f64 x (*.f64 x #s(literal 2/945 binary64)))) x)

simplify293.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

4060×	`-lowering-.f32`
4060×	`-lowering-.f64`
2696×	`+-lowering-+.f64`
2696×	`+-lowering-+.f32`
1384×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	179	2322
1	521	2018
2	1485	2009
3	4155	1998
0	8515	1998

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

Calls

Call 1

Inputs
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
3
(+ 3 (* -1/5 (pow x 2)))
(+ 3 (* (pow x 2) (- (* 1/75 (pow x 2)) 1/5)))
(+ 3 (* (pow x 2) (- (* (pow x 2) (+ 1/75 (* -1/1125 (pow x 2)))) 1/5)))
(/ 45 (pow x 2))
(/ (- 45 (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 45 (/ 10125 (pow x 4))) (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 45 (/ 10125 (pow x 4))) (+ (* 675 (/ 1 (pow x 2))) (* 151875 (/ 1 (pow x 6))))) (pow x 2))
(/ 45 (pow x 2))
(/ (- 45 (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 45 (/ 10125 (pow x 4))) (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 45 (/ 10125 (pow x 4))) (+ (* 675 (/ 1 (pow x 2))) (* 151875 (/ 1 (pow x 6))))) (pow x 2))
1/3
(+ 1/3 (* 1/45 (pow x 2)))
(+ 1/3 (* 1/45 (pow x 2)))
(+ 1/3 (* 1/45 (pow x 2)))
(* 1/45 (pow x 2))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/45 (pow x 2))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/45 (pow x 2))
(* 1/45 (pow x 2))
(* 1/45 (pow x 2))
(* 1/45 (pow x 2))
(* 1/45 (pow x 2))
(* 1/45 (pow x 2))
(* 1/45 (pow x 2))
(* 1/45 (pow x 2))
(* 1/45 (pow x 2))
(* 1/45 (pow x 2))
(* 1/45 (pow x 2))
(* 1/45 (pow x 2))
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/45 (pow x 3))
(* 1/45 (pow x 3))
(* 1/45 (pow x 3))
(* 1/45 (pow x 3))
(* 1/45 (pow x 3))
(* 1/45 (pow x 3))
(* 1/45 (pow x 3))
(* 1/45 (pow x 3))
(* 1/45 (pow x 3))
(* 1/45 (pow x 3))
(* 1/45 (pow x 3))
(* 1/45 (pow x 3))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/9 x)
(* x (+ 1/9 (* -1/2025 (pow x 4))))
(* x (+ 1/9 (* -1/2025 (pow x 4))))
(* x (+ 1/9 (* -1/2025 (pow x 4))))
(* -1/2025 (pow x 5))
(* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))
(* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))
(* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))
(* -1/2025 (pow x 5))
(* -1 (* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4))))))
1/9
(+ 1/9 (* -1/2025 (pow x 4)))
(+ 1/9 (* -1/2025 (pow x 4)))
(+ 1/9 (* -1/2025 (pow x 4)))
(* -1/2025 (pow x 4))
(* (pow x 4) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))
(* (pow x 4) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))
(* (pow x 4) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))
(* -1/2025 (pow x 4))
(* (pow x 4) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))
(* (pow x 4) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))
(* (pow x 4) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))
(* -1/2025 (pow x 4))
(* -1/2025 (pow x 4))
(* -1/2025 (pow x 4))
(* -1/2025 (pow x 4))
(* -1/2025 (pow x 4))
(* -1/2025 (pow x 4))
(* -1/2025 (pow x 4))
(* -1/2025 (pow x 4))
(* -1/2025 (pow x 4))
(* -1/2025 (pow x 4))
(* -1/2025 (pow x 4))
(* -1/2025 (pow x 4))
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/27 x)
(* x (+ 1/27 (* 1/91125 (pow x 6))))
(* x (+ 1/27 (* 1/91125 (pow x 6))))
(* x (+ 1/27 (* 1/91125 (pow x 6))))
(* 1/91125 (pow x 7))
(* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(* 1/91125 (pow x 7))
(* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
1/27
(+ 1/27 (* 1/91125 (pow x 6)))
(+ 1/27 (* 1/91125 (pow x 6)))
(+ 1/27 (* 1/91125 (pow x 6)))
(* 1/91125 (pow x 6))
(* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(* 1/91125 (pow x 6))
(* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(* -1/91125 (pow x 6))
(* -1/91125 (pow x 6))
(* -1/91125 (pow x 6))
(* -1/91125 (pow x 6))
(* -1/91125 (pow x 6))
(* -1/91125 (pow x 6))
(* -1/91125 (pow x 6))
(* -1/91125 (pow x 6))
(* -1/91125 (pow x 6))
(* -1/91125 (pow x 6))
(* -1/91125 (pow x 6))
(* -1/91125 (pow x 6))
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* 2/945 (pow x 5))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* 2/945 (pow x 5))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))
(* -1/9 x)
(* x (- (* 1/2025 (pow x 4)) 1/9))
(* x (- (* (pow x 4) (+ 1/2025 (* 4/42525 (pow x 2)))) 1/9))
(* x (- (* (pow x 4) (+ 1/2025 (* (pow x 2) (+ 4/42525 (* 4/893025 (pow x 2)))))) 1/9))
(* 4/893025 (pow x 9))
(* (pow x 9) (+ 4/893025 (* 4/42525 (/ 1 (pow x 2)))))
(* (pow x 9) (+ 4/893025 (+ (/ 1/2025 (pow x 4)) (* 4/42525 (/ 1 (pow x 2))))))
(* (pow x 9) (- (+ 4/893025 (+ (/ 1/2025 (pow x 4)) (* 4/42525 (/ 1 (pow x 2))))) (* 1/9 (/ 1 (pow x 8)))))
(* 4/893025 (pow x 9))
(* (pow x 9) (+ 4/893025 (* 4/42525 (/ 1 (pow x 2)))))
(* -1 (* (pow x 9) (- (* -1 (/ (+ 4/42525 (* 1/2025 (/ 1 (pow x 2)))) (pow x 2))) 4/893025)))
(* -1 (* (pow x 9) (- (* 1/9 (/ 1 (pow x 8))) (+ 4/893025 (+ (/ 1/2025 (pow x 4)) (* 4/42525 (/ 1 (pow x 2))))))))
-1/9
(- (* 1/2025 (pow x 4)) 1/9)
(- (* (pow x 4) (+ 1/2025 (* 4/42525 (pow x 2)))) 1/9)
(- (* (pow x 4) (+ 1/2025 (* (pow x 2) (+ 4/42525 (* 4/893025 (pow x 2)))))) 1/9)
(* 4/893025 (pow x 8))
(* (pow x 8) (+ 4/893025 (* 4/42525 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 4/893025 (+ (/ 1/2025 (pow x 4)) (* 4/42525 (/ 1 (pow x 2))))))
(* (pow x 8) (- (+ 4/893025 (+ (/ 1/2025 (pow x 4)) (* 4/42525 (/ 1 (pow x 2))))) (* 1/9 (/ 1 (pow x 8)))))
(* 4/893025 (pow x 8))
(* (pow x 8) (+ 4/893025 (* 4/42525 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 4/893025 (+ (/ 1/2025 (pow x 4)) (* 4/42525 (/ 1 (pow x 2))))))
(* (pow x 8) (- (+ 4/893025 (+ (/ 1/2025 (pow x 4)) (* 4/42525 (/ 1 (pow x 2))))) (* 1/9 (/ 1 (pow x 8)))))
(* 1/2025 (pow x 4))
(* (pow x 4) (+ 1/2025 (* 4/42525 (pow x 2))))
(* (pow x 4) (+ 1/2025 (* (pow x 2) (+ 4/42525 (* 4/893025 (pow x 2))))))
(* (pow x 4) (+ 1/2025 (* (pow x 2) (+ 4/42525 (* 4/893025 (pow x 2))))))
(* 4/893025 (pow x 8))
(* (pow x 8) (+ 4/893025 (* 4/42525 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 4/893025 (+ (/ 1/2025 (pow x 4)) (* 4/42525 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 4/893025 (+ (/ 1/2025 (pow x 4)) (* 4/42525 (/ 1 (pow x 2))))))
(* 4/893025 (pow x 8))
(* (pow x 8) (+ 4/893025 (* 4/42525 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 4/893025 (+ (/ 1/2025 (pow x 4)) (* 4/42525 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 4/893025 (+ (/ 1/2025 (pow x 4)) (* 4/42525 (/ 1 (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)
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (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)
(* -1/135 (pow x 2))
(* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135))
(* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135))
(* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135))
(* 1/2025 (pow x 4))
(* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))
(* 1/2025 (pow x 4))
(* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))
(* 1/2025 (pow x 2))
(* 1/2025 (pow x 2))
(* 1/2025 (pow x 2))
(* 1/2025 (pow x 2))
(* 1/2025 (pow x 2))
(* 1/2025 (pow x 2))
(* 1/2025 (pow x 2))
(* 1/2025 (pow x 2))
(* 1/2025 (pow x 2))
(* 1/2025 (pow x 2))
(* 1/2025 (pow x 2))
(* 1/2025 (pow x 2))
(* -1/45 x)
(* x (- (* -2/945 (pow x 2)) 1/45))
(* x (- (* -2/945 (pow x 2)) 1/45))
(* x (- (* -2/945 (pow x 2)) 1/45))
(* -2/945 (pow x 3))
(* -1 (* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))
(* -2/945 (pow x 3))
(* -1 (* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))
(* 1/45 x)
(* x (+ 1/45 (* 2/945 (pow x 2))))
(* x (+ 1/45 (* 2/945 (pow x 2))))
(* x (+ 1/45 (* 2/945 (pow x 2))))
(* 2/945 (pow x 3))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* 2/945 (pow x 3))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))

Outputs
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/45 binary64)))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/45 binary64)))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/45 binary64)))))
(* 1/45 (pow x 3))
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(* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal -1/135 binary64) (*.f64 x x))))
(* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal -1/135 binary64) (*.f64 x x))))
(* 1/2025 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2025 binary64)))
(* 1/2025 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2025 binary64)))
(* 1/2025 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2025 binary64)))
(* 1/2025 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2025 binary64)))
(* 1/2025 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2025 binary64)))
(* 1/2025 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2025 binary64)))
(* 1/2025 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2025 binary64)))
(* 1/2025 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2025 binary64)))
(* 1/2025 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2025 binary64)))
(* 1/2025 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2025 binary64)))
(* 1/2025 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2025 binary64)))
(* 1/2025 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2025 binary64)))
(* -1/45 x)
(*.f64 x #s(literal -1/45 binary64))
(* x (- (* -2/945 (pow x 2)) 1/45))
(.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 x (*.f64 x #s(literal -2/945 binary64)))))
(* x (- (* -2/945 (pow x 2)) 1/45))
(.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 x (*.f64 x #s(literal -2/945 binary64)))))
(* x (- (* -2/945 (pow x 2)) 1/45))
(.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 x (*.f64 x #s(literal -2/945 binary64)))))
(* -2/945 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -2/945 binary64))))
(* -1 (* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 x (*.f64 x #s(literal -2/945 binary64)))))
(* -1 (* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 x (*.f64 x #s(literal -2/945 binary64)))))
(* -1 (* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 x (*.f64 x #s(literal -2/945 binary64)))))
(* -2/945 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -2/945 binary64))))
(* -1 (* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 x (*.f64 x #s(literal -2/945 binary64)))))
(* -1 (* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 x (*.f64 x #s(literal -2/945 binary64)))))
(* -1 (* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 x (*.f64 x #s(literal -2/945 binary64)))))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* x (+ 1/45 (* 2/945 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (*.f64 x x) #s(literal 2/945 binary64))))
(* x (+ 1/45 (* 2/945 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (*.f64 x x) #s(literal 2/945 binary64))))
(* x (+ 1/45 (* 2/945 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (*.f64 x x) #s(literal 2/945 binary64))))
(* 2/945 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 2/945 binary64)))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (*.f64 x x) #s(literal 2/945 binary64))))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (*.f64 x x) #s(literal 2/945 binary64))))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (*.f64 x x) #s(literal 2/945 binary64))))
(* 2/945 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 2/945 binary64)))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (*.f64 x x) #s(literal 2/945 binary64))))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (*.f64 x x) #s(literal 2/945 binary64))))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (*.f64 x x) #s(literal 2/945 binary64))))

eval168.0ms (1.3%)

Compiler: Compiled 46641 to 2734 computations (94.1% saved)

prune80.0ms (0.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	1319	3	1322
Fresh	0	0	0
Picked	5	0	5
Done	1	2	3
Total	1325	5	1330

Accuracy

100.0%

Counts

1330 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(/.f64 (.f64 (+.f64 #s(literal -1/9 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/2025 binary64))))) x) (+.f64 (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)))) #s(literal -1/3 binary64)))
▶	99.9%	(/.f64 x (+.f64 #s(literal 3 binary64) (.f64 x (.f64 x #s(literal -1/5 binary64)))))
▶	98.8%	(/.f64 x #s(literal 3 binary64))
✓	99.5%	(.f64 x (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 x (*.f64 x #s(literal -2/945 binary64)))))))
✓	99.3%	(.f64 x (-.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal -1/45 binary64))))

Compiler

Compiled 68 to 46 computations (32.4% saved)

simplify23.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Program
✓	cost-diff	(.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/2025 binary64))))
✓	cost-diff	(+.f64 #s(literal -1/9 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/2025 binary64)))))
✓	cost-diff	(.f64 (+.f64 #s(literal -1/9 binary64) (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 1/2025 binary64))))) x)
✓	cost-diff	(/.f64 (.f64 (+.f64 #s(literal -1/9 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/2025 binary64))))) x) (+.f64 (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)))) #s(literal -1/3 binary64)))
✓	cost-diff	(*.f64 x #s(literal -1/5 binary64))
✓	cost-diff	(.f64 x (.f64 x #s(literal -1/5 binary64)))
✓	cost-diff	(+.f64 #s(literal 3 binary64) (.f64 x (.f64 x #s(literal -1/5 binary64))))
✓	cost-diff	(/.f64 x (+.f64 #s(literal 3 binary64) (.f64 x (.f64 x #s(literal -1/5 binary64)))))
✓	cost-diff	(/.f64 x #s(literal 3 binary64))

Rules

344×	`-lowering-.f32`
344×	`-lowering-.f64`
236×	`fma-define`
232×	`fma-lowering-fma.f32`
232×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	127
1	58	120
2	137	112
3	240	112
4	335	112
5	465	112
6	481	112
7	517	112
8	518	112
0	518	112

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ x 3)
x
3
(/ x (+ 3 (* x (* x -1/5))))
x
(+ 3 (* x (* x -1/5)))
3
(* x (* x -1/5))
(* x -1/5)
-1/5
(/ (* (+ -1/9 (* (* x x) (* x (* x 1/2025)))) x) (+ (* x (* x (+ (* (* x x) 2/945) 1/45))) -1/3))
(* (+ -1/9 (* (* x x) (* x (* x 1/2025)))) x)
(+ -1/9 (* (* x x) (* x (* x 1/2025))))
-1/9
(* (* x x) (* x (* x 1/2025)))
(* x x)
x
(* x (* x 1/2025))
(* x 1/2025)
1/2025
(+ (* x (* x (+ (* (* x x) 2/945) 1/45))) -1/3)
(* x (* x (+ (* (* x x) 2/945) 1/45)))
(* x (+ (* (* x x) 2/945) 1/45))
(+ (* (* x x) 2/945) 1/45)
(* (* x x) 2/945)
2/945
1/45
-1/3

Outputs
(/ x 3)
(/.f64 x #s(literal 3 binary64))
x
3
#s(literal 3 binary64)
(/ x (+ 3 (* x (* x -1/5))))
(/.f64 x (+.f64 #s(literal 3 binary64) (.f64 x (.f64 x #s(literal -1/5 binary64)))))
x
(+ 3 (* x (* x -1/5)))
(+.f64 #s(literal 3 binary64) (.f64 x (.f64 x #s(literal -1/5 binary64))))
3
#s(literal 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)
(/ (* (+ -1/9 (* (* x x) (* x (* x 1/2025)))) x) (+ (* x (* x (+ (* (* x x) 2/945) 1/45))) -1/3))
(/.f64 (.f64 x (+.f64 #s(literal -1/9 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/2025 binary64))))))) (+.f64 (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)))) #s(literal -1/3 binary64)))
(* (+ -1/9 (* (* x x) (* x (* x 1/2025)))) x)
(.f64 x (+.f64 #s(literal -1/9 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/2025 binary64)))))))
(+ -1/9 (* (* x x) (* x (* x 1/2025))))
(+.f64 #s(literal -1/9 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/2025 binary64))))))
-1/9
#s(literal -1/9 binary64)
(* (* x x) (* x (* x 1/2025)))
(.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/2025 binary64)))))
(* x x)
(*.f64 x x)
x
(* x (* x 1/2025))
(.f64 x (.f64 x #s(literal 1/2025 binary64)))
(* x 1/2025)
(*.f64 x #s(literal 1/2025 binary64))
1/2025
#s(literal 1/2025 binary64)
(+ (* x (* x (+ (* (* x x) 2/945) 1/45))) -1/3)
(+.f64 (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)))) #s(literal -1/3 binary64))
(* x (* x (+ (* (* x x) 2/945) 1/45)))
(.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 2/945 binary64)) #s(literal 1/45 binary64))))
(* x (+ (* (* x x) 2/945) 1/45))
(.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)))
(+ (* (* x x) 2/945) 1/45)
(+.f64 (.f64 (.f64 x x) #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
(* (* x x) 2/945)
(.f64 (.f64 x x) #s(literal 2/945 binary64))
2/945
#s(literal 2/945 binary64)
1/45
#s(literal 1/45 binary64)
-1/3
#s(literal -1/3 binary64)

localize141.0ms (1%)

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 2/945 binary64))
✓	accuracy	99.6%	(.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)))
✓	accuracy	99.5%	(.f64 (+.f64 #s(literal -1/9 binary64) (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 1/2025 binary64))))) x)
✓	accuracy	99.4%	(/.f64 (.f64 (+.f64 #s(literal -1/9 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/2025 binary64))))) x) (+.f64 (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)))) #s(literal -1/3 binary64)))
✓	accuracy	100.0%	(+.f64 #s(literal 3 binary64) (.f64 x (.f64 x #s(literal -1/5 binary64))))
✓	accuracy	100.0%	(/.f64 x (+.f64 #s(literal 3 binary64) (.f64 x (.f64 x #s(literal -1/5 binary64)))))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal -1/5 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal -1/5 binary64))
✓	accuracy	100.0%	(/.f64 x #s(literal 3 binary64))

Results

108.0ms

256×

valid

Compiler

Compiled 156 to 26 computations (83.3% saved)

Precisions

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

ival-mult: 21.0ms (39.8% of total)

...c/correct-round.rkt:119:19: 20.0ms (37.9% of total)

ival-div: 6.0ms (11.4% of total)

ival-add: 5.0ms (9.5% of total)

const: 0.0ms (0% of total)

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

series279.0ms (2.1%)

Counts

11 → 132

Calls

Call 1

Inputs
#<alt (/ x 3)>
#<alt (/ x (+ 3 (* x (* x -1/5))))>
#<alt (+ 3 (* x (* x -1/5)))>
#<alt (* x (* x -1/5))>
#<alt (* x -1/5)>
#<alt (/ (* (+ -1/9 (* (* x x) (* x (* x 1/2025)))) x) (+ (* x (* x (+ (* (* x x) 2/945) 1/45))) -1/3))>
#<alt (* (+ -1/9 (* (* x x) (* x (* x 1/2025)))) x)>
#<alt (+ -1/9 (* (* x x) (* x (* x 1/2025))))>
#<alt (* (* x x) (* x (* x 1/2025)))>
#<alt (* x (+ (* (* x x) 2/945) 1/45))>
#<alt (* (* x x) 2/945)>

Outputs
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 1/675 (pow x 2))))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 1/675 (* 1/10125 (pow x 2))))))))>
#<alt (/ -5 x)>
#<alt (* -1 (/ (+ 5 (* 75 (/ 1 (pow x 2)))) x))>
#<alt (/ (- (* -1 (/ (+ 75 (* 1125 (/ 1 (pow x 2)))) (pow x 2))) 5) x)>
#<alt (/ (- (* -1 (/ (+ 1125 (* 16875 (/ 1 (pow x 2)))) (pow x 4))) (+ 5 (* 75 (/ 1 (pow x 2))))) x)>
#<alt (/ -5 x)>
#<alt (* -1 (/ (+ 5 (* 75 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 5 (+ (* 75 (/ 1 (pow x 2))) (/ 1125 (pow x 4)))) x))>
#<alt (* -1 (/ (+ 5 (+ (* 75 (/ 1 (pow x 2))) (+ (* 16875 (/ 1 (pow x 6))) (/ 1125 (pow x 4))))) x))>
#<alt 3>
#<alt (+ 3 (* -1/5 (pow x 2)))>
#<alt (+ 3 (* -1/5 (pow x 2)))>
#<alt (+ 3 (* -1/5 (pow x 2)))>
#<alt (* -1/5 (pow x 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))>
#<alt (* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))>
#<alt (* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))>
#<alt (* -1/5 (pow x 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))>
#<alt (* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))>
#<alt (* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))>
#<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 (* -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 (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 4/14175 (pow x 2))))))))>
#<alt (* 7/30 x)>
#<alt (* x (- 7/30 (* 49/20 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 7/30 (/ 399/40 (pow x 4))) (* 49/20 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 7/30 (/ 399/40 (pow x 4))) (+ (* 49/20 (/ 1 (pow x 2))) (* 39249/80 (/ 1 (pow x 6))))))>
#<alt (* 7/30 x)>
#<alt (* -1 (* x (- (* 49/20 (/ 1 (pow x 2))) 7/30)))>
#<alt (* -1 (* x (- (* 49/20 (/ 1 (pow x 2))) (+ 7/30 (/ 399/40 (pow x 4))))))>
#<alt (* -1 (* x (- (+ (* 49/20 (/ 1 (pow x 2))) (* 39249/80 (/ 1 (pow x 6)))) (+ 7/30 (/ 399/40 (pow x 4))))))>
#<alt (* -1/9 x)>
#<alt (* x (- (* 1/2025 (pow x 4)) 1/9))>
#<alt (* x (- (* 1/2025 (pow x 4)) 1/9))>
#<alt (* x (- (* 1/2025 (pow x 4)) 1/9))>
#<alt (* 1/2025 (pow x 5))>
#<alt (* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))>
#<alt (* 1/2025 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))>
#<alt (* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))>
#<alt (* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))>
#<alt -1/9>
#<alt (- (* 1/2025 (pow x 4)) 1/9)>
#<alt (- (* 1/2025 (pow x 4)) 1/9)>
#<alt (- (* 1/2025 (pow x 4)) 1/9)>
#<alt (* 1/2025 (pow x 4))>
#<alt (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))>
#<alt (* 1/2025 (pow x 4))>
#<alt (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))>
#<alt (* 1/2025 (pow x 4))>
#<alt (* 1/2025 (pow x 4))>
#<alt (* 1/2025 (pow x 4))>
#<alt (* 1/2025 (pow x 4))>
#<alt (* 1/2025 (pow x 4))>
#<alt (* 1/2025 (pow x 4))>
#<alt (* 1/2025 (pow x 4))>
#<alt (* 1/2025 (pow x 4))>
#<alt (* 1/2025 (pow x 4))>
#<alt (* 1/2025 (pow x 4))>
#<alt (* 1/2025 (pow x 4))>
#<alt (* 1/2025 (pow x 4))>
#<alt (* 1/45 x)>
#<alt (* x (+ 1/45 (* 2/945 (pow x 2))))>
#<alt (* x (+ 1/45 (* 2/945 (pow x 2))))>
#<alt (* x (+ 1/45 (* 2/945 (pow x 2))))>
#<alt (* 2/945 (pow x 3))>
#<alt (* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* 2/945 (pow x 3))>
#<alt (* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* 2/945 (pow x 2))>
#<alt (* 2/945 (pow x 2))>
#<alt (* 2/945 (pow x 2))>
#<alt (* 2/945 (pow x 2))>
#<alt (* 2/945 (pow x 2))>
#<alt (* 2/945 (pow x 2))>
#<alt (* 2/945 (pow x 2))>
#<alt (* 2/945 (pow x 2))>
#<alt (* 2/945 (pow x 2))>
#<alt (* 2/945 (pow x 2))>
#<alt (* 2/945 (pow x 2))>
#<alt (* 2/945 (pow x 2))>

Calls

33 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(/ (* (+ -1/9 (* (* x x) (* x (* x 1/2025)))) x) (+ (* x (* x (+ (* (* x x) 2/945) 1/45))) -1/3))
0.0ms	x	@	inf	(/ x (+ 3 (* x (* x -1/5))))
0.0ms	x	@	inf	(/ (* (+ -1/9 (* (* x x) (* x (* x 1/2025)))) x) (+ (* x (* x (+ (* (* x x) 2/945) 1/45))) -1/3))
0.0ms	x	@	0	(* (+ -1/9 (* (* x x) (* x (* x 1/2025)))) x)
0.0ms	x	@	inf	(* x (* x -1/5))

rewrite316.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

5330×	`-lowering-.f32`
5330×	`-lowering-.f64`
3158×	`/-lowering-/.f32`
3158×	`/-lowering-/.f64`
1868×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	84
1	138	78
2	1004	70
0	9124	70

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 385

Calls

Call 1

Inputs
(/ x 3)
(/ x (+ 3 (* x (* x -1/5))))
(+ 3 (* x (* x -1/5)))
(* x (* x -1/5))
(* x -1/5)
(/ (* (+ -1/9 (* (* x x) (* x (* x 1/2025)))) x) (+ (* x (* x (+ (* (* x x) 2/945) 1/45))) -1/3))
(* (+ -1/9 (* (* x x) (* x (* x 1/2025)))) x)
(+ -1/9 (* (* x x) (* x (* x 1/2025))))
(* (* x x) (* x (* x 1/2025)))
(* x (+ (* (* x x) 2/945) 1/45))
(* (* x x) 2/945)

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3 binary64) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x #s(literal -3 binary64)))
(neg.f64 (/.f64 x #s(literal -3 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)))
(/.f64 x #s(literal 3 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))
(pow.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64))
(*.f64 x #s(literal 1/3 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/3 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 x #s(literal -3 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1/3 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1/2 binary64)))
(+.f64 (.f64 (/.f64 x (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/125 binary64))))) #s(literal 9 binary64)) (.f64 (/.f64 x (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/125 binary64))))) (.f64 (.f64 #s(literal -1/5 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal -1/5 binary64) (*.f64 x x)) #s(literal -3 binary64)))))
(+.f64 (.f64 (/.f64 x (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/125 binary64))))) (.f64 (.f64 #s(literal -1/5 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal -1/5 binary64) (.f64 x x)) #s(literal -3 binary64)))) (.f64 (/.f64 x (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/125 binary64))))) #s(literal 9 binary64)))
(+.f64 (.f64 (/.f64 x (+.f64 #s(literal 9 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal -1/25 binary64)))) #s(literal 3 binary64)) (.f64 (/.f64 x (+.f64 #s(literal 9 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal -1/25 binary64)))) (.f64 (.f64 x x) #s(literal 1/5 binary64))))
(+.f64 (.f64 #s(literal 9 binary64) (/.f64 x (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/125 binary64)))))) (.f64 (.f64 (.f64 #s(literal -1/5 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal -1/5 binary64) (.f64 x x)) #s(literal -3 binary64))) (/.f64 x (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/125 binary64)))))))
(+.f64 (.f64 (.f64 (.f64 #s(literal -1/5 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal -1/5 binary64) (.f64 x x)) #s(literal -3 binary64))) (/.f64 x (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/125 binary64)))))) (.f64 #s(literal 9 binary64) (/.f64 x (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/125 binary64)))))))
(+.f64 (.f64 #s(literal 3 binary64) (/.f64 x (+.f64 #s(literal 9 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal -1/25 binary64))))) (.f64 (.f64 (.f64 x x) #s(literal 1/5 binary64)) (/.f64 x (+.f64 #s(literal 9 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal -1/25 binary64))))))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 3 binary64) (.f64 #s(literal -1/5 binary64) (*.f64 x x))) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (+.f64 #s(literal -3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal -3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))) (/.f64 x (+.f64 #s(literal -3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))))
(neg.f64 (/.f64 x (+.f64 #s(literal -3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal -3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 3 binary64) (.f64 #s(literal -1/5 binary64) (.f64 x x))) x)))
(/.f64 x (+.f64 #s(literal 3 binary64) (.f64 #s(literal -1/5 binary64) (.f64 x x))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal -3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3 binary64) (.f64 #s(literal -1/5 binary64) (.f64 x x))) x))
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64))) x))
(/.f64 (.f64 x (+.f64 #s(literal 729 binary64) (.f64 (.f64 (.f64 #s(literal -1/5 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal -1/5 binary64) (.f64 x x)) #s(literal -3 binary64))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25 binary64))) (.f64 (+.f64 (.f64 #s(literal -1/5 binary64) (.f64 x x)) #s(literal -3 binary64)) (+.f64 (.f64 #s(literal -1/5 binary64) (.f64 x x)) #s(literal -3 binary64))))))) (.f64 (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/125 binary64)))) (+.f64 #s(literal 81 binary64) (.f64 (.f64 (.f64 #s(literal -1/5 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal -1/5 binary64) (.f64 x x)) #s(literal -3 binary64))) (-.f64 (.f64 (.f64 #s(literal -1/5 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal -1/5 binary64) (*.f64 x x)) #s(literal -3 binary64))) #s(literal 9 binary64))))))
(/.f64 (.f64 x (-.f64 #s(literal 81 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25 binary64))) (.f64 (+.f64 (.f64 #s(literal -1/5 binary64) (.f64 x x)) #s(literal -3 binary64)) (+.f64 (.f64 #s(literal -1/5 binary64) (.f64 x x)) #s(literal -3 binary64)))))) (.f64 (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/125 binary64)))) (+.f64 #s(literal 9 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/5 binary64)) (+.f64 (.f64 #s(literal -1/5 binary64) (*.f64 x x)) #s(literal -3 binary64))))))
(/.f64 (.f64 x (+.f64 #s(literal 9 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal -1/25 binary64)))) (.f64 (+.f64 #s(literal 9 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal -1/25 binary64))) (+.f64 #s(literal 3 binary64) (.f64 #s(literal -1/5 binary64) (.f64 x x)))))
(/.f64 (.f64 x (-.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/125 binary64))))) (.f64 (+.f64 #s(literal 9 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal -1/25 binary64))) (+.f64 #s(literal 9 binary64) (.f64 (.f64 #s(literal -1/5 binary64) (.f64 x x)) (+.f64 #s(literal 3 binary64) (.f64 #s(literal -1/5 binary64) (*.f64 x x)))))))
(pow.f64 (/.f64 (+.f64 #s(literal 3 binary64) (.f64 #s(literal -1/5 binary64) (.f64 x x))) x) #s(literal -1 binary64))
(.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (.f64 #s(literal -1/5 binary64) (*.f64 x x)))))
(.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 3 binary64) (.f64 #s(literal -1/5 binary64) (*.f64 x x)))))
(.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 3 binary64) (.f64 #s(literal -1/5 binary64) (*.f64 x x)))))
(.f64 #s(literal -1 binary64) (/.f64 x (+.f64 #s(literal -3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (.f64 #s(literal -1/5 binary64) (*.f64 x x)))) x)
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (.f64 #s(literal -1/5 binary64) (*.f64 x x)))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(.f64 (/.f64 x (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/125 binary64))))) (+.f64 #s(literal 9 binary64) (.f64 (.f64 #s(literal -1/5 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal -1/5 binary64) (.f64 x x)) #s(literal -3 binary64)))))
(.f64 (/.f64 x (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/125 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (.f64 (.f64 #s(literal -1/5 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal -1/5 binary64) (.f64 x x)) #s(literal -3 binary64)))))))
(.f64 (/.f64 x (+.f64 #s(literal 9 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal -1/25 binary64)))) (+.f64 #s(literal 3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))
(.f64 (/.f64 x (+.f64 #s(literal 9 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal -1/25 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 3 binary64) (.f64 #s(literal -1/5 binary64) (.f64 x x)))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 3 binary64) (.f64 #s(literal -1/5 binary64) (.f64 x x))) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 3 binary64) (.f64 #s(literal -1/5 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/125 binary64)))))) (+.f64 #s(literal 9 binary64) (.f64 (.f64 #s(literal -1/5 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal -1/5 binary64) (*.f64 x x)) #s(literal -3 binary64)))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 9 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal -1/25 binary64))))) (+.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64))))
(+.f64 #s(literal 3 binary64) (.f64 #s(literal -1/5 binary64) (.f64 x x)))
(+.f64 #s(literal 3 binary64) (neg.f64 (.f64 (.f64 x x) #s(literal 1/5 binary64))))
(+.f64 (.f64 #s(literal -1/5 binary64) (.f64 x x)) #s(literal 3 binary64))
(+.f64 (/.f64 #s(literal 9 binary64) (+.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25 binary64))) (+.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64))))))
(+.f64 (neg.f64 (.f64 (.f64 x x) #s(literal 1/5 binary64))) #s(literal 3 binary64))
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal -3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64))))
(-.f64 (/.f64 #s(literal 9 binary64) (+.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25 binary64))) (+.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 9 binary64) (+.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25 binary64))) (+.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25 binary64))) (+.f64 (.f64 #s(literal -1/5 binary64) (.f64 x x)) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (+.f64 (.f64 #s(literal -1/5 binary64) (.f64 x x)) #s(literal -3 binary64))))
(fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64))
(fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64))
(fma.f64 (*.f64 x #s(literal -1/5 binary64)) x #s(literal 3 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64))
(neg.f64 (+.f64 #s(literal -3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64))))
(/.f64 (+.f64 #s(literal 3 binary64) (.f64 #s(literal -1/5 binary64) (.f64 x x))) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal -3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64))) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/125 binary64)))) (+.f64 #s(literal 9 binary64) (.f64 (.f64 #s(literal -1/5 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal -1/5 binary64) (*.f64 x x)) #s(literal -3 binary64)))))
(/.f64 (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/125 binary64)))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25 binary64))) (+.f64 #s(literal 9 binary64) (.f64 #s(literal 3/5 binary64) (.f64 x x)))))
(/.f64 (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/125 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 9 binary64) (.f64 (.f64 #s(literal -1/5 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal -1/5 binary64) (*.f64 x x)) #s(literal -3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (.f64 #s(literal -1/5 binary64) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25 binary64))) (+.f64 #s(literal 9 binary64) (.f64 #s(literal 3/5 binary64) (.f64 x x)))) (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/125 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (.f64 #s(literal -1/5 binary64) (.f64 x x)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/5 binary64) (.f64 x x)) #s(literal -3 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25 binary64))) #s(literal -9 binary64))))
(/.f64 (+.f64 #s(literal 9 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal -1/25 binary64))) (+.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64))))
(/.f64 (+.f64 #s(literal 9 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal -1/25 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64))))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 3 binary64) (.f64 #s(literal -1/5 binary64) (.f64 x x)))))
(/.f64 (+.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/125 binary64)))) #s(literal -27 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 9 binary64) (.f64 (.f64 #s(literal -1/5 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal -1/5 binary64) (*.f64 x x)) #s(literal -3 binary64))))))
(/.f64 (+.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/125 binary64)))) #s(literal -27 binary64)) (neg.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25 binary64))) (+.f64 #s(literal 9 binary64) (.f64 #s(literal 3/5 binary64) (.f64 x x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 9 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal -1/25 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))))
(/.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25 binary64))) #s(literal -9 binary64)) (+.f64 (.f64 #s(literal -1/5 binary64) (.f64 x x)) #s(literal -3 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 9 binary64) (+.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))) (.f64 (+.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25 binary64))))) (.f64 (+.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64))) (+.f64 #s(literal 3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))))
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(fma.f64 x #s(literal 1/45 binary64) (.f64 (.f64 x x) (*.f64 x #s(literal 2/945 binary64))))
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(.f64 (.f64 x x) #s(literal 2/945 binary64))
(.f64 #s(literal 2/945 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 2/945 binary64)) x)

simplify205.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

2404×	`-lowering-.f32`
2404×	`-lowering-.f64`
1728×	`+-lowering-+.f64`
1728×	`+-lowering-+.f32`
1618×	`sum5-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	136	882
1	400	775
2	1183	767
3	3386	758
4	7237	758
0	8041	758

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

Inputs
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 1/675 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 1/675 (* 1/10125 (pow x 2))))))))
(/ -5 x)
(* -1 (/ (+ 5 (* 75 (/ 1 (pow x 2)))) x))
(/ (- (* -1 (/ (+ 75 (* 1125 (/ 1 (pow x 2)))) (pow x 2))) 5) x)
(/ (- (* -1 (/ (+ 1125 (* 16875 (/ 1 (pow x 2)))) (pow x 4))) (+ 5 (* 75 (/ 1 (pow x 2))))) x)
(/ -5 x)
(* -1 (/ (+ 5 (* 75 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 5 (+ (* 75 (/ 1 (pow x 2))) (/ 1125 (pow x 4)))) x))
(* -1 (/ (+ 5 (+ (* 75 (/ 1 (pow x 2))) (+ (* 16875 (/ 1 (pow x 6))) (/ 1125 (pow x 4))))) x))
3
(+ 3 (* -1/5 (pow x 2)))
(+ 3 (* -1/5 (pow x 2)))
(+ 3 (* -1/5 (pow x 2)))
(* -1/5 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))
(* -1/5 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))
(* -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)
(* -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)
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 4/14175 (pow x 2))))))))
(* 7/30 x)
(* x (- 7/30 (* 49/20 (/ 1 (pow x 2)))))
(* x (- (+ 7/30 (/ 399/40 (pow x 4))) (* 49/20 (/ 1 (pow x 2)))))
(* x (- (+ 7/30 (/ 399/40 (pow x 4))) (+ (* 49/20 (/ 1 (pow x 2))) (* 39249/80 (/ 1 (pow x 6))))))
(* 7/30 x)
(* -1 (* x (- (* 49/20 (/ 1 (pow x 2))) 7/30)))
(* -1 (* x (- (* 49/20 (/ 1 (pow x 2))) (+ 7/30 (/ 399/40 (pow x 4))))))
(* -1 (* x (- (+ (* 49/20 (/ 1 (pow x 2))) (* 39249/80 (/ 1 (pow x 6)))) (+ 7/30 (/ 399/40 (pow x 4))))))
(* -1/9 x)
(* x (- (* 1/2025 (pow x 4)) 1/9))
(* x (- (* 1/2025 (pow x 4)) 1/9))
(* x (- (* 1/2025 (pow x 4)) 1/9))
(* 1/2025 (pow x 5))
(* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* 1/2025 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))
(* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))
(* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))
-1/9
(- (* 1/2025 (pow x 4)) 1/9)
(- (* 1/2025 (pow x 4)) 1/9)
(- (* 1/2025 (pow x 4)) 1/9)
(* 1/2025 (pow x 4))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* 1/2025 (pow x 4))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* 1/2025 (pow x 4))
(* 1/2025 (pow x 4))
(* 1/2025 (pow x 4))
(* 1/2025 (pow x 4))
(* 1/2025 (pow x 4))
(* 1/2025 (pow x 4))
(* 1/2025 (pow x 4))
(* 1/2025 (pow x 4))
(* 1/2025 (pow x 4))
(* 1/2025 (pow x 4))
(* 1/2025 (pow x 4))
(* 1/2025 (pow x 4))
(* 1/45 x)
(* x (+ 1/45 (* 2/945 (pow x 2))))
(* x (+ 1/45 (* 2/945 (pow x 2))))
(* x (+ 1/45 (* 2/945 (pow x 2))))
(* 2/945 (pow x 3))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* 2/945 (pow x 3))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* 2/945 (pow x 2))
(* 2/945 (pow x 2))
(* 2/945 (pow x 2))
(* 2/945 (pow x 2))
(* 2/945 (pow x 2))
(* 2/945 (pow x 2))
(* 2/945 (pow x 2))
(* 2/945 (pow x 2))
(* 2/945 (pow x 2))
(* 2/945 (pow x 2))
(* 2/945 (pow x 2))
(* 2/945 (pow x 2))

Outputs
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/45 binary64) (*.f64 x x))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 1/675 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (*.f64 x x) #s(literal 1/675 binary64))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 1/675 (* 1/10125 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/675 binary64) (.f64 (*.f64 x x) #s(literal 1/10125 binary64))))))))
(/ -5 x)
(/.f64 #s(literal -5 binary64) x)
(* -1 (/ (+ 5 (* 75 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -5 binary64) (/.f64 #s(literal -75 binary64) (*.f64 x x))) x)
(/ (- (* -1 (/ (+ 75 (* 1125 (/ 1 (pow x 2)))) (pow x 2))) 5) x)
(/.f64 (+.f64 #s(literal -5 binary64) (/.f64 (+.f64 #s(literal -75 binary64) (/.f64 #s(literal -1125 binary64) (.f64 x x))) (.f64 x x))) x)
(/ (- (* -1 (/ (+ 1125 (* 16875 (/ 1 (pow x 2)))) (pow x 4))) (+ 5 (* 75 (/ 1 (pow x 2))))) x)
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1125 binary64) (/.f64 #s(literal -16875 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -5 binary64) (/.f64 #s(literal -75 binary64) (*.f64 x x)))) x)
(/ -5 x)
(/.f64 #s(literal -5 binary64) x)
(* -1 (/ (+ 5 (* 75 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -5 binary64) (/.f64 #s(literal -75 binary64) (*.f64 x x))) x)
(* -1 (/ (+ 5 (+ (* 75 (/ 1 (pow x 2))) (/ 1125 (pow x 4)))) x))
(/.f64 (+.f64 #s(literal -5 binary64) (+.f64 (/.f64 #s(literal -75 binary64) (.f64 x x)) (/.f64 #s(literal -1125 binary64) (.f64 x (.f64 x (.f64 x x)))))) x)
(* -1 (/ (+ 5 (+ (* 75 (/ 1 (pow x 2))) (+ (* 16875 (/ 1 (pow x 6))) (/ 1125 (pow x 4))))) x))
(/.f64 (+.f64 (+.f64 #s(literal -5 binary64) (/.f64 #s(literal -75 binary64) (.f64 x x))) (-.f64 (/.f64 #s(literal -16875 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1125 binary64) (.f64 x (.f64 x (.f64 x x)))))) x)
3
#s(literal 3 binary64)
(+ 3 (* -1/5 (pow x 2)))
(+.f64 #s(literal 3 binary64) (.f64 x (.f64 x #s(literal -1/5 binary64))))
(+ 3 (* -1/5 (pow x 2)))
(+.f64 #s(literal 3 binary64) (.f64 x (.f64 x #s(literal -1/5 binary64))))
(+ 3 (* -1/5 (pow x 2)))
(+.f64 #s(literal 3 binary64) (.f64 x (.f64 x #s(literal -1/5 binary64))))
(* -1/5 (pow x 2))
(.f64 x (.f64 x #s(literal -1/5 binary64)))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))
(+.f64 #s(literal 3 binary64) (.f64 x (.f64 x #s(literal -1/5 binary64))))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))
(+.f64 #s(literal 3 binary64) (.f64 x (.f64 x #s(literal -1/5 binary64))))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))
(+.f64 #s(literal 3 binary64) (.f64 x (.f64 x #s(literal -1/5 binary64))))
(* -1/5 (pow x 2))
(.f64 x (.f64 x #s(literal -1/5 binary64)))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))
(+.f64 #s(literal 3 binary64) (.f64 x (.f64 x #s(literal -1/5 binary64))))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))
(+.f64 #s(literal 3 binary64) (.f64 x (.f64 x #s(literal -1/5 binary64))))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))
(+.f64 #s(literal 3 binary64) (.f64 x (.f64 x #s(literal -1/5 binary64))))
(* -1/5 (pow x 2))
(.f64 x (.f64 x #s(literal -1/5 binary64)))
(* -1/5 (pow x 2))
(.f64 x (.f64 x #s(literal -1/5 binary64)))
(* -1/5 (pow x 2))
(.f64 x (.f64 x #s(literal -1/5 binary64)))
(* -1/5 (pow x 2))
(.f64 x (.f64 x #s(literal -1/5 binary64)))
(* -1/5 (pow x 2))
(.f64 x (.f64 x #s(literal -1/5 binary64)))
(* -1/5 (pow x 2))
(.f64 x (.f64 x #s(literal -1/5 binary64)))
(* -1/5 (pow x 2))
(.f64 x (.f64 x #s(literal -1/5 binary64)))
(* -1/5 (pow x 2))
(.f64 x (.f64 x #s(literal -1/5 binary64)))
(* -1/5 (pow x 2))
(.f64 x (.f64 x #s(literal -1/5 binary64)))
(* -1/5 (pow x 2))
(.f64 x (.f64 x #s(literal -1/5 binary64)))
(* -1/5 (pow x 2))
(.f64 x (.f64 x #s(literal -1/5 binary64)))
(* -1/5 (pow x 2))
(.f64 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 x)
(*.f64 x #s(literal -1/5 binary64))
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/45 binary64) (*.f64 x x))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 x (*.f64 x #s(literal 2/945 binary64)))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 4/14175 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (*.f64 x x) #s(literal 4/14175 binary64))))))))
(* 7/30 x)
(*.f64 x #s(literal 7/30 binary64))
(* x (- 7/30 (* 49/20 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x #s(literal 7/30 binary64)) (/.f64 #s(literal -49/20 binary64) x))
(* x (- (+ 7/30 (/ 399/40 (pow x 4))) (* 49/20 (/ 1 (pow x 2)))))
(+.f64 (.f64 x (+.f64 #s(literal 7/30 binary64) (/.f64 #s(literal 399/40 binary64) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal -49/20 binary64) x))
(* x (- (+ 7/30 (/ 399/40 (pow x 4))) (+ (* 49/20 (/ 1 (pow x 2))) (* 39249/80 (/ 1 (pow x 6))))))
(+.f64 (/.f64 #s(literal -49/20 binary64) x) (.f64 x (+.f64 (/.f64 #s(literal 399/40 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 7/30 binary64) (/.f64 #s(literal -39249/80 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* 7/30 x)
(*.f64 x #s(literal 7/30 binary64))
(* -1 (* x (- (* 49/20 (/ 1 (pow x 2))) 7/30)))
(+.f64 (*.f64 x #s(literal 7/30 binary64)) (/.f64 #s(literal -49/20 binary64) x))
(* -1 (* x (- (* 49/20 (/ 1 (pow x 2))) (+ 7/30 (/ 399/40 (pow x 4))))))
(+.f64 (.f64 x (+.f64 #s(literal 7/30 binary64) (/.f64 #s(literal 399/40 binary64) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal -49/20 binary64) x))
(* -1 (* x (- (+ (* 49/20 (/ 1 (pow x 2))) (* 39249/80 (/ 1 (pow x 6)))) (+ 7/30 (/ 399/40 (pow x 4))))))
(+.f64 (/.f64 #s(literal -49/20 binary64) x) (.f64 x (+.f64 (/.f64 #s(literal 399/40 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 7/30 binary64) (/.f64 #s(literal -39249/80 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* -1/9 x)
(*.f64 x #s(literal -1/9 binary64))
(* x (- (* 1/2025 (pow x 4)) 1/9))
(.f64 x (+.f64 #s(literal -1/9 binary64) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/2025 binary64)))))
(* x (- (* 1/2025 (pow x 4)) 1/9))
(.f64 x (+.f64 #s(literal -1/9 binary64) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/2025 binary64)))))
(* x (- (* 1/2025 (pow x 4)) 1/9))
(.f64 x (+.f64 #s(literal -1/9 binary64) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/2025 binary64)))))
(* 1/2025 (pow x 5))
(.f64 #s(literal 1/2025 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* 1/2025 (pow x 5))
(.f64 #s(literal 1/2025 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (.f64 x x))))))
-1/9
#s(literal -1/9 binary64)
(- (* 1/2025 (pow x 4)) 1/9)
(+.f64 #s(literal -1/9 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/2025 binary64))))
(- (* 1/2025 (pow x 4)) 1/9)
(+.f64 #s(literal -1/9 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/2025 binary64))))
(- (* 1/2025 (pow x 4)) 1/9)
(+.f64 #s(literal -1/9 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/2025 binary64))))
(* 1/2025 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/2025 binary64)))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(+.f64 #s(literal -1/9 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/2025 binary64))))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(+.f64 #s(literal -1/9 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/2025 binary64))))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(+.f64 #s(literal -1/9 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/2025 binary64))))
(* 1/2025 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/2025 binary64)))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(+.f64 #s(literal -1/9 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/2025 binary64))))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(+.f64 #s(literal -1/9 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/2025 binary64))))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(+.f64 #s(literal -1/9 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/2025 binary64))))
(* 1/2025 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/2025 binary64)))
(* 1/2025 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/2025 binary64)))
(* 1/2025 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/2025 binary64)))
(* 1/2025 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/2025 binary64)))
(* 1/2025 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/2025 binary64)))
(* 1/2025 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/2025 binary64)))
(* 1/2025 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/2025 binary64)))
(* 1/2025 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/2025 binary64)))
(* 1/2025 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/2025 binary64)))
(* 1/2025 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/2025 binary64)))
(* 1/2025 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/2025 binary64)))
(* 1/2025 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/2025 binary64)))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* x (+ 1/45 (* 2/945 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 x (*.f64 x #s(literal 2/945 binary64)))))
(* x (+ 1/45 (* 2/945 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 x (*.f64 x #s(literal 2/945 binary64)))))
(* x (+ 1/45 (* 2/945 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 x (*.f64 x #s(literal 2/945 binary64)))))
(* 2/945 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 2/945 binary64))))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 x (*.f64 x #s(literal 2/945 binary64)))))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 x (*.f64 x #s(literal 2/945 binary64)))))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 x (*.f64 x #s(literal 2/945 binary64)))))
(* 2/945 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 2/945 binary64))))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 x (*.f64 x #s(literal 2/945 binary64)))))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 x (*.f64 x #s(literal 2/945 binary64)))))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 x (*.f64 x #s(literal 2/945 binary64)))))
(* 2/945 (pow x 2))
(.f64 x (.f64 x #s(literal 2/945 binary64)))
(* 2/945 (pow x 2))
(.f64 x (.f64 x #s(literal 2/945 binary64)))
(* 2/945 (pow x 2))
(.f64 x (.f64 x #s(literal 2/945 binary64)))
(* 2/945 (pow x 2))
(.f64 x (.f64 x #s(literal 2/945 binary64)))
(* 2/945 (pow x 2))
(.f64 x (.f64 x #s(literal 2/945 binary64)))
(* 2/945 (pow x 2))
(.f64 x (.f64 x #s(literal 2/945 binary64)))
(* 2/945 (pow x 2))
(.f64 x (.f64 x #s(literal 2/945 binary64)))
(* 2/945 (pow x 2))
(.f64 x (.f64 x #s(literal 2/945 binary64)))
(* 2/945 (pow x 2))
(.f64 x (.f64 x #s(literal 2/945 binary64)))
(* 2/945 (pow x 2))
(.f64 x (.f64 x #s(literal 2/945 binary64)))
(* 2/945 (pow x 2))
(.f64 x (.f64 x #s(literal 2/945 binary64)))
(* 2/945 (pow x 2))
(.f64 x (.f64 x #s(literal 2/945 binary64)))

eval68.0ms (0.5%)

Compiler: Compiled 19571 to 1403 computations (92.8% saved)

prune66.0ms (0.5%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	517	0	517
Fresh	0	0	0
Picked	0	3	3
Done	0	2	2
Total	517	5	522

Accuracy

100.0%

Counts

522 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(/.f64 (.f64 (+.f64 #s(literal -1/9 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/2025 binary64))))) x) (+.f64 (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)))) #s(literal -1/3 binary64)))
✓	99.9%	(/.f64 x (+.f64 #s(literal 3 binary64) (.f64 x (.f64 x #s(literal -1/5 binary64)))))
✓	98.8%	(/.f64 x #s(literal 3 binary64))
✓	99.5%	(.f64 x (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 x (*.f64 x #s(literal -2/945 binary64)))))))
✓	99.3%	(.f64 x (-.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal -1/45 binary64))))

Compiler

Compiled 260 to 126 computations (51.5% saved)

regimes9.0ms (0.1%)

Counts

12 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 1/3 binary64) x)
(/.f64 x #s(literal 3 binary64))
(.f64 x (-.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal -1/45 binary64))))
(/.f64 x (+.f64 #s(literal 3 binary64) (.f64 x (.f64 x #s(literal -1/5 binary64)))))
(+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/45 binary64))) (.f64 #s(literal 1/3 binary64) x))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/45 binary64)))))
(.f64 x (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 x (*.f64 x #s(literal -2/945 binary64)))))))
(.f64 (.f64 x (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/2025 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal -1/9 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/2025 binary64))))) x) (+.f64 (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)))) #s(literal -1/3 binary64)))
(/.f64 (.f64 x (-.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/91125 binary64) (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/135 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal -1/9 binary64) (.f64 x (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal -2/945 binary64)))) (.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal -2/945 binary64))))))) x) (+.f64 (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)))) #s(literal -1/3 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

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

Calls

2 calls:

5.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
4.0ms	x

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes2.0ms (0%)

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 1/3 binary64) x)
(/.f64 x #s(literal 3 binary64))
(.f64 x (-.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal -1/45 binary64))))

Outputs
(.f64 x (-.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal -1/45 binary64))))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.8%	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
(*.f64 #s(literal 1/3 binary64) x)

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
98.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative_binary64`
12×	`+-commutative_binary64`
10×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	24
1	26	24
2	41	24
3	49	24
4	55	24
5	57	24

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 x (+.f64 #s(literal 3 binary64) (.f64 x (.f64 x #s(literal -1/5 binary64)))))
(.f64 x (-.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal -1/45 binary64))))
(/.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 1/3 binary64) x)

Outputs
(/.f64 x (+.f64 #s(literal 3 binary64) (.f64 x (.f64 x #s(literal -1/5 binary64)))))
(.f64 x (-.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal -1/45 binary64))))
(/.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 x #s(literal 1/3 binary64))

soundness898.0ms (6.7%)

Rules

5384×	`-lowering-.f32`
5384×	`-lowering-.f64`
4060×	`-lowering-.f32`
4060×	`-lowering-.f64`
2696×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	179	2322
1	521	2018
2	1485	2009
3	4155	1998
0	8515	1998
0	15	63
1	84	60
2	680	56
0	8182	56
0	67	302
1	186	269
2	560	266
3	1807	266
4	2716	266
5	4431	266
6	6050	266
7	6596	266
0	8084	266

Stop Event

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

Compiler

Compiled 97 to 67 computations (30.9% saved)

preprocess125.0ms (0.9%)

Remove: (negabs x)
Compiler: Compiled 158 to 104 computations (34.2% saved)

Iter	Nodes	Cost
0	12	20
1	29	19
2	64	18
3	146	18
4	300	18
5	464	18
6	507	18
7	515	18
0	6	6
1	12	6
2	20	6
3	31	6
4	45	6
5	82	6
6	152	6
7	248	6
8	350	6
9	486	6
10	607	6
11	639	6
0	639	6

Iter	Nodes	Cost
0	6	15
1	12	15
2	20	15
3	31	15
4	45	15
5	82	15
6	152	15
7	248	15
8	350	15
9	486	15
10	607	15
11	639	15
0	639	15

Iter	Nodes	Cost
0	25	127
1	58	120
2	137	112
3	240	112
4	335	112
5	465	112
6	481	112
7	517	112
8	518	112
0	518	112

Iter	Nodes	Cost
0	12	20
1	29	19
2	64	18
3	146	18
4	300	18
5	464	18
6	507	18
7	515	18
0	6	6
1	12	6
2	20	6
3	31	6
4	45	6
5	82	6
6	152	6
7	248	6
8	350	6
9	486	6
10	607	6
11	639	6
0	639	6

Iter	Nodes	Cost
0	6	15
1	12	15
2	20	15
3	31	15
4	45	15
5	82	15
6	152	15
7	248	15
8	350	15
9	486	15
10	607	15
11	639	15
0	639	15

Iter	Nodes	Cost
0	25	127
1	58	120
2	137	112
3	240	112
4	335	112
5	465	112
6	481	112
7	517	112
8	518	112
0	518	112

analyze8.0ms (0.1%)

sample7.7s (57.3%)

preprocess39.0ms (0.3%)

explain483.0ms (3.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify25.0ms (0.2%)

localize205.0ms (1.5%)

series4.0ms (0%)

rewrite227.0ms (1.7%)

simplify212.0ms (1.6%)

eval27.0ms (0.2%)

prune42.0ms (0.3%)

simplify150.0ms (1.1%)

localize142.0ms (1.1%)

series10.0ms (0.1%)

rewrite272.0ms (2%)

simplify194.0ms (1.4%)

eval51.0ms (0.4%)

prune39.0ms (0.3%)

simplify211.0ms (1.6%)

localize329.0ms (2.5%)

series24.0ms (0.2%)

rewrite353.0ms (2.6%)

simplify293.0ms (2.2%)

eval168.0ms (1.3%)

prune80.0ms (0.6%)

simplify23.0ms (0.2%)

localize141.0ms (1%)

series279.0ms (2.1%)

rewrite316.0ms (2.4%)

simplify205.0ms (1.5%)

eval68.0ms (0.5%)

prune66.0ms (0.5%)

regimes9.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

simplify9.0ms (0.1%)

soundness898.0ms (6.7%)

preprocess125.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	20
1	29	19
2	64	18
3	146	18
4	300	18
5	464	18
6	507	18
7	515	18
0	6	6
1	12	6
2	20	6
3	31	6
4	45	6
5	82	6
6	152	6
7	248	6
8	350	6
9	486	6
10	607	6
11	639	6
0	639	6

Iter	Nodes	Cost
0	6	15
1	12	15
2	20	15
3	31	15
4	45	15
5	82	15
6	152	15
7	248	15
8	350	15
9	486	15
10	607	15
11	639	15
0	639	15

Iter	Nodes	Cost
0	25	127
1	58	120
2	137	112
3	240	112
4	335	112
5	465	112
6	481	112
7	517	112
8	518	112
0	518	112