Metrics for Hyperbolic arc-(co)tangent

analyze4.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 14 to 10 computations (28.6% saved)

Precisions

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

ival-div: 1.0ms (53.5% of total)

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

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

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

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

const: 0.0ms (0% of total)

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

sample3.0s (31.2%)

Results

1.6s	6065×	1	valid
1000.0ms	1947×	2	valid
19.0ms	244×	0	valid
0.0ms	4×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 2.1s

ival-log: 1.1s (49.7% of total)

ival-div: 375.0ms (17.5% of total)

ival-mult: 195.0ms (9.1% of total)

ival-add: 176.0ms (8.2% of total)

backward-pass: 164.0ms (7.6% of total)

ival-sub: 141.0ms (6.6% of total)

const: 29.0ms (1.3% of total)

Bogosity

preprocess65.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

928×	`fnmadd-define`
886×	`sum3-define`
610×	`fma-define`
552×	`sum5-define`
508×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	32
1	36	30
2	60	30
3	119	30
4	245	30
5	542	30
6	1547	30
7	2671	30
8	3389	30
0	10	10
1	16	10
2	20	10
3	26	10
4	35	10
5	50	10
6	73	10
7	98	10
8	145	10
9	217	10
10	271	10
11	442	10
12	990	10
13	1689	10
14	1767	10
0	1767	10

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

explain273.0ms (2.8%)

FPErrors

Click to see full error table

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

Results

122.0ms	386×	1	valid
80.0ms	108×	2	valid
2.0ms	18×	0	valid

Compiler

Compiled 95 to 29 computations (69.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 130.0ms

ival-log: 65.0ms (49.9% of total)

ival-div: 19.0ms (14.6% of total)

ival-sub: 16.0ms (12.3% of total)

backward-pass: 13.0ms (10% of total)

ival-mult: 9.0ms (6.9% of total)

ival-add: 6.0ms (4.6% of total)

const: 2.0ms (1.5% of total)

eval0.0ms (0%)

Compiler: Compiled 11 to 8 computations (27.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.8%	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify56.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

422×	`sum3-define`
384×	`sum5-define`
328×	`fnmadd-define`
258×	`fma-define`
252×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	34
1	14	34
2	18	34
3	24	34
4	33	34
5	48	34
6	71	34
7	96	34
8	143	34
9	215	34
10	266	34
11	435	34
12	985	34
13	1685	34
14	1763	34
0	1763	34

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize99.0ms (1%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
✓	accuracy	8.8%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))

Results

56.0ms	193×	1	valid
22.0ms	54×	2	valid
1.0ms	9×	0	valid

Compiler

Compiled 36 to 9 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-log: 29.0ms (50.4% of total)

ival-div: 9.0ms (15.7% of total)

backward-pass: 7.0ms (12.2% of total)

ival-mult: 5.0ms (8.7% of total)

ival-add: 4.0ms (7% of total)

ival-sub: 3.0ms (5.2% of total)

const: 1.0ms (1.7% of total)

series4.0ms (0%)

Counts

4 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite294.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2630×	`fma-lowering-fma.f32`
2630×	`fma-lowering-fma.f64`
2074×	`/-lowering-/.f32`
2074×	`/-lowering-/.f64`
2036×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	41	24
2	317	24
3	4256	24
0	8267	24

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 405

Calls

Call 1

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

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

simplify219.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

2042×	`-lowering-.f32`
2042×	`-lowering-.f64`
1842×	`sum3-define`
1788×	`fma-lowering-fma.f32`
1788×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	110	380
1	341	345
2	1011	337
3	2857	334
4	5104	334
0	8012	334

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

eval60.0ms (0.6%)

Compiler: Compiled 11293 to 1763 computations (84.4% saved)

prune93.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	449	4	453
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	449	5	454

Accuracy

100.0%

Counts

454 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))
▶	99.6%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64))))))))
▶	99.3%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
✓	8.8%	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
▶	98.5%	x

Compiler

Compiled 61 to 41 computations (32.8% saved)

simplify92.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

2440×	`fma-define`
1752×	`fma-lowering-fma.f32`
1752×	`fma-lowering-fma.f64`
614×	`-lowering-.f32`
614×	`-lowering-.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	199
1	85	178
2	266	172
3	774	172
4	1706	172
5	2380	172
6	2647	172
7	2655	172
8	2655	172
9	2661	172
0	2661	172

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize145.0ms (1.5%)

Localize:

Found 12 expressions of interest:

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

Results

87.0ms

256×

valid

Compiler

Compiled 201 to 26 computations (87.1% saved)

Precisions

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

ival-mult: 33.0ms (64% of total)

...c/correct-round.rkt:119:19: 11.0ms (21.3% of total)

ival-add: 7.0ms (13.6% of total)

const: 0.0ms (0% of total)

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

series18.0ms (0.2%)

Counts

17 → 204

Calls

Call 1

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

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

Calls

51 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	(* x (* x 1/5))
1.0ms	x	@	inf	(* x (+ 1 (* x (* x (+ 1/3 (* x (* x 1/5)))))))
0.0ms	x	@	0	(* x (+ 1 (* x (* x 1/3))))
0.0ms	x	@	inf	(* x (+ 1 (* x (* x 1/3))))
0.0ms	x	@	inf	(* x (+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))

rewrite400.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3854×	`-lowering-.f32`
3854×	`-lowering-.f64`
2744×	`/-lowering-/.f32`
2744×	`/-lowering-/.f64`
2128×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	159
1	158	142
2	1464	136
0	8152	136

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 387

Calls

Call 1

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

Outputs
(+.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64)))) x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64))))) (-.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))))))
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64))) x)
(fma.f64 #s(literal 1 binary64) x (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(fma.f64 (.f64 x #s(literal 1/3 binary64)) (.f64 x x) x)
(fma.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) x x)
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/3 binary64)) x)
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/3 binary64) x)
(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64))))) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64))))))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))))) (-.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64))))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x))))) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x)))) x) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (.f64 x x))))) (neg.f64 (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64))))) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64))))))) (neg.f64 (-.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64)))))))
(/.f64 (neg.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x)))))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64))))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) x)) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x)))) x)) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64))))) (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64)))) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))) (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))))
(-.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64))))
(fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x #s(literal 1/3 binary64)) x #s(literal 1 binary64))
(fma.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/3 binary64))) x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (neg.f64 (+.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x))))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1 binary64)) (-.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x)))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x)))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x))))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64))))))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64))))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/3 binary64)) x)
(.f64 (.f64 x (*.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64))
(.f64 (.f64 x x) #s(literal 1/3 binary64))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/3 binary64))) x)
(*.f64 x #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) x)
(+.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/5 binary64) (*.f64 x x)))))
(+.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/5 binary64) (*.f64 x x)))) x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/5 binary64) (.f64 x x)))))) (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/5 binary64) (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/5 binary64) (.f64 x x))))) (-.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/5 binary64) (.f64 x x)))))))
(fma.f64 x #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/5 binary64) (*.f64 x x)))))
(fma.f64 x (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/5 binary64) (.f64 x x))) (.f64 x x)) x)
(fma.f64 #s(literal 1 binary64) x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/5 binary64) (*.f64 x x)))))
(fma.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/5 binary64) (.f64 x x)))) (.f64 x x) x)
(fma.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/5 binary64) (.f64 x x))) (.f64 x x)) x x)
(fma.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/5 binary64) (.f64 x x)))) x)
(fma.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/5 binary64) (.f64 x x))) x)
(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/5 binary64) (.f64 x x)))) (.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/5 binary64) (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/5 binary64) (.f64 x x))))))) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/5 binary64) (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/5 binary64) (.f64 x x))))) (.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/5 binary64) (*.f64 x x))))))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/5 binary64) (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/5 binary64) (.f64 x x)))))) (-.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/5 binary64) (*.f64 x x))))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/5 binary64) (.f64 x x))) (.f64 x x)) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/5 binary64) (.f64 x x)))) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/5 binary64) (.f64 x x))) (.f64 x x))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/5 binary64) (.f64 x x))) (.f64 x x)) (-.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/5 binary64) (.f64 x x))) (.f64 x x)) #s(literal 1 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/5 binary64) (.f64 x x)))) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/5 binary64) (.f64 x x))) (.f64 x x)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/5 binary64) (.f64 x x))) (.f64 x x))))
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(/.f64 (-.f64 (.f64 #s(literal 1/25 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/7 binary64)))))) (-.f64 (.f64 #s(literal 1/5 binary64) (.f64 x x)) (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 1/7 binary64))))))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/125 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/343 binary64)))) (+.f64 #s(literal 1/25 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/7 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/7 binary64))) #s(literal 1/5 binary64)))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/49 binary64)))) (-.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1/125 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/343 binary64))) (.f64 x x)) (+.f64 #s(literal 1/25 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/7 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/7 binary64))) #s(literal 1/5 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/49 binary64))) (.f64 x x)) (-.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 1/125 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/343 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (neg.f64 (+.f64 (.f64 #s(literal 1/25 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/7 binary64))))) (.f64 (.f64 #s(literal 1/5 binary64) (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/25 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (neg.f64 (-.f64 (.f64 #s(literal 1/5 binary64) (.f64 x x)) (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 1/7 binary64)))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/125 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/343 binary64))))) (neg.f64 (+.f64 #s(literal 1/25 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/7 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/7 binary64))) #s(literal 1/5 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/49 binary64))))) (neg.f64 (-.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/125 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/343 binary64))) (.f64 x x))) (neg.f64 (+.f64 #s(literal 1/25 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/7 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/7 binary64))) #s(literal 1/5 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/49 binary64))) (.f64 x x))) (neg.f64 (-.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/343 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 1/125 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/7 binary64))))) (-.f64 (.f64 #s(literal 1/25 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (.f64 #s(literal 1/5 binary64) (.f64 x x))))))
(.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))
(.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))) x)
(.f64 x (.f64 x #s(literal 1/7 binary64)))
(.f64 (.f64 x x) #s(literal 1/7 binary64))
(.f64 #s(literal 1/7 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/7 binary64)) x)

simplify251.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

4014×	`-lowering-.f32`
4014×	`-lowering-.f64`
2458×	`+-lowering-+.f64`
2458×	`+-lowering-+.f32`
1488×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	89	1530
1	305	1419
2	907	1394
3	3630	1390
4	7547	1390
0	8032	1390

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

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

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

eval124.0ms (1.3%)

Compiler: Compiled 19227 to 1552 computations (91.9% saved)

prune77.0ms (0.8%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	607	4	611
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	608	8	616

Accuracy

100.0%

Counts

616 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(+.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/5 binary64) (*.f64 x x)))) x)
▶	99.7%	(+.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64))))))))) x)
▶	99.3%	(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64)))) x)
▶	99.7%	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (.f64 (.f64 x x) (.f64 x x))))) (.f64 x x)) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))))
✓	99.6%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64))))))))
✓	99.3%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
✓	8.8%	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
✓	98.5%	x

Compiler

Compiled 135 to 76 computations (43.7% saved)

simplify299.0ms (3.1%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 x (.f64 x x))
✓	cost-diff	(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/5 binary64) (*.f64 x x))))
✓	cost-diff	(+.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/5 binary64) (*.f64 x x)))) x)
✓	cost-diff	(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64)))))))
✓	cost-diff	(.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))))
✓	cost-diff	(.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))
✓	cost-diff	(+.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64))))))))) x)
✓	cost-diff	(*.f64 x #s(literal 1/3 binary64))
✓	cost-diff	(.f64 x (.f64 x #s(literal 1/3 binary64)))
✓	cost-diff	(.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64))))
✓	cost-diff	(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64)))) x)
✓	cost-diff	(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (.f64 (.f64 x x) (.f64 x x))))) (*.f64 x x))
✓	cost-diff	(/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (.f64 (.f64 x x) (.f64 x x))))) (.f64 x x)) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64)))))))
✓	cost-diff	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (.f64 (.f64 x x) (.f64 x x))))) (.f64 x x)) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64))))))))
✓	cost-diff	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (.f64 (.f64 x x) (.f64 x x))))) (.f64 x x)) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))))

Rules

3034×	`-lowering-.f32`
3034×	`-lowering-.f64`
2574×	`fma-lowering-fma.f32`
2574×	`fma-lowering-fma.f64`
1674×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	452
1	117	394
2	413	381
3	1712	381
4	5024	381
0	8171	381

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize204.0ms (2.1%)

Localize:

Found 16 expressions of interest:

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

Results

138.0ms

256×

valid

Compiler

Compiled 479 to 35 computations (92.7% saved)

Precisions

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

ival-mult: 57.0ms (65.3% of total)

...c/correct-round.rkt:119:19: 17.0ms (19.5% of total)

ival-add: 8.0ms (9.2% of total)

ival-sub: 2.0ms (2.3% of total)

ival-div: 2.0ms (2.3% of total)

const: 0.0ms (0% of total)

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

series11.0ms (0.1%)

Counts

20 → 240

Calls

Call 1

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

Outputs
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))>
#<alt 1>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/9 (pow x 2))>
#<alt (* (pow x 2) (+ 1/9 (* -1/25 (pow x 4))))>
#<alt (* (pow x 2) (+ 1/9 (* (pow x 4) (- (* -2/35 (pow x 2)) 1/25))))>
#<alt (* (pow x 2) (+ 1/9 (* (pow x 4) (- (* (pow x 2) (- (* -1/49 (pow x 2)) 2/35)) 1/25))))>
#<alt (* -1/49 (pow x 10))>
#<alt (* -1 (* (pow x 10) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))>
#<alt (* (pow x 10) (- (* -1 (/ (+ 2/35 (* 1/25 (/ 1 (pow x 2)))) (pow x 2))) 1/49))>
#<alt (* (pow x 10) (- (* 1/9 (/ 1 (pow x 8))) (+ 1/49 (+ (/ 1/25 (pow x 4)) (* 2/35 (/ 1 (pow x 2)))))))>
#<alt (* -1/49 (pow x 10))>
#<alt (* -1 (* (pow x 10) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))>
#<alt (* (pow x 10) (- (* -1 (/ (+ 2/35 (* 1/25 (/ 1 (pow x 2)))) (pow x 2))) 1/49))>
#<alt (* (pow x 10) (- (* 1/9 (/ 1 (pow x 8))) (+ 1/49 (+ (/ 1/25 (pow x 4)) (* 2/35 (/ 1 (pow x 2)))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* (pow x 3) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* 1/7 (pow x 5))>
#<alt (* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/7 (pow x 5))>
#<alt (* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* 1/5 (pow x 5))>
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/5 (pow x 5))>
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* 1/5 (pow x 5))>
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/5 (pow x 5))>
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (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 (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/5 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* 1/7 (pow x 4))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/7 (pow x 4))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/5 (pow x 2)))>
#<alt (+ 1/3 (* 1/5 (pow x 2)))>
#<alt (+ 1/3 (* 1/5 (pow x 2)))>
#<alt (* 1/5 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/5 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>

Calls

60 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(* x (* x 1/3))
0.0ms	x	@	inf	(* x (+ 1 (/ (* (- 1/9 (* (+ 1/5 (* x (* x 1/7))) (* (+ 1/5 (* x (* x 1/7))) (* (* x x) (* x x))))) (* x x)) (- 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))
0.0ms	x	@	inf	(/ (* (- 1/9 (* (+ 1/5 (* x (* x 1/7))) (* (+ 1/5 (* x (* x 1/7))) (* (* x x) (* x x))))) (* x x)) (- 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))
0.0ms	x	@	0	(/ (* (- 1/9 (* (+ 1/5 (* x (* x 1/7))) (* (+ 1/5 (* x (* x 1/7))) (* (* x x) (* x x))))) (* x x)) (- 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))
0.0ms	x	@	0	(* x (+ 1 (/ (* (- 1/9 (* (+ 1/5 (* x (* x 1/7))) (* (+ 1/5 (* x (* x 1/7))) (* (* x x) (* x x))))) (* x x)) (- 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))

rewrite394.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3676×	`-lowering-.f32`
3676×	`-lowering-.f64`
3016×	`/-lowering-/.f32`
3016×	`/-lowering-/.f64`
2070×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	354
1	224	198
2	2124	193
0	8285	193

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 535

Calls

Call 1

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

Outputs
(+.f64 x (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/7 binary64) (*.f64 x x)))))))))
(+.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/7 binary64) (*.f64 x x)))))))) x)
(-.f64 (/.f64 (.f64 x (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/7 binary64) (.f64 x x))))))) (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/7 binary64) (.f64 x x)))))))))) (-.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/7 binary64) (.f64 x x)))))))) x)) (/.f64 (.f64 x x) (-.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/7 binary64) (.f64 x x)))))))) x)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/7 binary64) (.f64 x x)))))))))) (/.f64 (.f64 x (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/7 binary64) (.f64 x x))))))) (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/7 binary64) (.f64 x x)))))))))) (-.f64 x (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/7 binary64) (.f64 x x)))))))))))
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/7 binary64) (*.f64 x x)))))))))
(fma.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/7 binary64) (.f64 x x))))))) x)
(fma.f64 #s(literal 1 binary64) x (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/7 binary64) (*.f64 x x)))))))))
(fma.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/7 binary64) (.f64 x x))))))) x)
(fma.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/7 binary64) (.f64 x x))) (.f64 x (.f64 x x))) (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/7 binary64) (.f64 x x)))))) (.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/7 binary64) (*.f64 x x))))))) x) x)
(fma.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/7 binary64) (.f64 x x))) (.f64 x (.f64 x x))) (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/7 binary64) (.f64 x x))))))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/7 binary64) (.f64 x x))))))) x) x)
(fma.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/7 binary64) (.f64 x x))))))) x x)
(fma.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/7 binary64) (.f64 x x))))))) (.f64 x x) x)
(fma.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/7 binary64) (.f64 x x)))))) x)
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(fma.f64 (.f64 x (.f64 (.f64 x x) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/7 binary64) (.f64 x x))) (.f64 x (.f64 x x))) (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/7 binary64) (.f64 x x)))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/7 binary64) (.f64 x x))))))) x)
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(.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/7 binary64) (.f64 x x))) (.f64 x x))
(.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/7 binary64) (.f64 x x))))
(.f64 (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/7 binary64) (.f64 x x)))) x)
(.f64 x (.f64 x #s(literal 1/5 binary64)))
(.f64 #s(literal 1/5 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/5 binary64))
(.f64 (.f64 x #s(literal 1/5 binary64)) x)
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) #s(literal 1/3 binary64))
(-.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/5 binary64) (.f64 x x)))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/5 binary64) (.f64 x x)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25 binary64)) (-.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) #s(literal 1/3 binary64))))
(fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64))
(fma.f64 (*.f64 x #s(literal 1/5 binary64)) x #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) #s(literal 1/3 binary64)))) (+.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/125 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/5 binary64) (.f64 x x))) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25 binary64)))))
(/.f64 (+.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/125 binary64)))) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/5 binary64))) #s(literal 1/3 binary64)))))
(/.f64 (+.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/125 binary64)))) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/15 binary64) (.f64 x x)))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25 binary64))) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/5 binary64) (.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) #s(literal 1/3 binary64)))) (+.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/125 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/5 binary64) (.f64 x x))) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/125 binary64))))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/5 binary64))) #s(literal 1/3 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/125 binary64))))) (neg.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/15 binary64) (.f64 x x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25 binary64)))) (neg.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/5 binary64) (.f64 x x)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25 binary64)) #s(literal 1/9 binary64)) (-.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) #s(literal 1/3 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/5 binary64) (.f64 x x)))) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/5 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25 binary64)))) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/5 binary64) (.f64 x x))) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/5 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/125 binary64)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/5 binary64))) #s(literal 1/3 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/5 binary64) (.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25 binary64)) #s(literal 1/9 binary64))) (neg.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) #s(literal 1/3 binary64))))
(pow.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) #s(literal 1/3 binary64)))) (+.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/125 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/5 binary64) (.f64 x x))) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25 binary64)))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/125 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) #s(literal 1/3 binary64))))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/5 binary64) (*.f64 x x)))))

simplify535.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

3992×	`-lowering-.f32`
3992×	`-lowering-.f64`
2562×	`+-lowering-+.f64`
2562×	`+-lowering-+.f32`
1650×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	136	2089
1	449	1955
2	1355	1919
3	4035	1907
0	8613	1907

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
1
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/9 (pow x 2))
(* (pow x 2) (+ 1/9 (* -1/25 (pow x 4))))
(* (pow x 2) (+ 1/9 (* (pow x 4) (- (* -2/35 (pow x 2)) 1/25))))
(* (pow x 2) (+ 1/9 (* (pow x 4) (- (* (pow x 2) (- (* -1/49 (pow x 2)) 2/35)) 1/25))))
(* -1/49 (pow x 10))
(* -1 (* (pow x 10) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))
(* (pow x 10) (- (* -1 (/ (+ 2/35 (* 1/25 (/ 1 (pow x 2)))) (pow x 2))) 1/49))
(* (pow x 10) (- (* 1/9 (/ 1 (pow x 8))) (+ 1/49 (+ (/ 1/25 (pow x 4)) (* 2/35 (/ 1 (pow x 2)))))))
(* -1/49 (pow x 10))
(* -1 (* (pow x 10) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))
(* (pow x 10) (- (* -1 (/ (+ 2/35 (* 1/25 (/ 1 (pow x 2)))) (pow x 2))) 1/49))
(* (pow x 10) (- (* 1/9 (/ 1 (pow x 8))) (+ 1/49 (+ (/ 1/25 (pow x 4)) (* 2/35 (/ 1 (pow x 2)))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (* 1/5 (pow x 2))))
(* (pow x 3) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* (pow x 3) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/3 x)
(* x (+ 1/3 (* 1/5 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* 1/7 (pow x 5))
(* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/7 (pow x 5))
(* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* 1/5 (pow x 5))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/5 (pow x 5))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (* 1/5 (pow x 2))))
(* (pow x 3) (+ 1/3 (* 1/5 (pow x 2))))
(* (pow x 3) (+ 1/3 (* 1/5 (pow x 2))))
(* 1/5 (pow x 5))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* 1/5 (pow x 5))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(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)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/5 (pow x 2))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
1/3
(+ 1/3 (* 1/5 (pow x 2)))
(+ 1/3 (* 1/5 (pow x 2)))
(+ 1/3 (* 1/5 (pow x 2)))
(* 1/5 (pow x 2))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* 1/5 (pow x 2))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))

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

eval127.0ms (1.3%)

Compiler: Compiled 38361 to 2207 computations (94.2% saved)

prune107.0ms (1.1%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	986	1	987
Fresh	0	0	0
Picked	1	3	4
Done	0	4	4
Total	987	8	995

Accuracy

100.0%

Counts

995 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(+.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/5 binary64) (*.f64 x x)))) x)
✓	99.7%	(+.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64))))))))) x)
✓	99.3%	(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64)))) x)
▶	99.7%	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/25 binary64) (.f64 (.f64 x x) #s(literal -2/35 binary64))))))) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))
✓	99.6%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64))))))))
✓	99.3%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
✓	8.8%	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
✓	98.5%	x

Compiler

Compiled 127 to 81 computations (36.2% saved)

simplify230.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(.f64 x (.f64 x (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/25 binary64) (.f64 (.f64 x x) #s(literal -2/35 binary64)))))))
✓	cost-diff	(/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/25 binary64) (.f64 (.f64 x x) #s(literal -2/35 binary64))))))) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))
✓	cost-diff	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/25 binary64) (.f64 (.f64 x x) #s(literal -2/35 binary64))))))) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))))
✓	cost-diff	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/25 binary64) (.f64 (.f64 x x) #s(literal -2/35 binary64))))))) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))

Rules

3376×	`-lowering-.f32`
3376×	`-lowering-.f64`
1824×	`fma-lowering-fma.f32`
1824×	`fma-lowering-fma.f64`
1644×	`fnmadd-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	239
1	83	201
2	304	196
3	1091	195
4	2144	195
5	4141	195
6	6174	195
0	8590	195

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* x (+ 1 (/ (* x (* x (+ 1/9 (* (* x (* x (* x x))) (+ -1/25 (* (* x x) -2/35)))))) (- 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))
x
(+ 1 (/ (* x (* x (+ 1/9 (* (* x (* x (* x x))) (+ -1/25 (* (* x x) -2/35)))))) (- 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))
1
(/ (* x (* x (+ 1/9 (* (* x (* x (* x x))) (+ -1/25 (* (* x x) -2/35)))))) (- 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))
(* x (* x (+ 1/9 (* (* x (* x (* x x))) (+ -1/25 (* (* x x) -2/35))))))
(* x (+ 1/9 (* (* x (* x (* x x))) (+ -1/25 (* (* x x) -2/35)))))
(+ 1/9 (* (* x (* x (* x x))) (+ -1/25 (* (* x x) -2/35))))
1/9
(* (* x (* x (* x x))) (+ -1/25 (* (* x x) -2/35)))
(* x (* x (* x x)))
(* x (* x x))
(* x x)
(+ -1/25 (* (* x x) -2/35))
-1/25
(* (* x x) -2/35)
-2/35
(- 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))
1/3
(* (* x x) (+ 1/5 (* x (* x 1/7))))
(+ 1/5 (* x (* x 1/7)))
1/5
(* x (* x 1/7))
(* x 1/7)
1/7

Outputs
(* x (+ 1 (/ (* x (* x (+ 1/9 (* (* x (* x (* x x))) (+ -1/25 (* (* x x) -2/35)))))) (- 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/25 binary64) (.f64 x (.f64 x #s(literal -2/35 binary64))))))) (/.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x (*.f64 x #s(literal -1/7 binary64))) #s(literal -1/5 binary64))))))))
x
(+ 1 (/ (* x (* x (+ 1/9 (* (* x (* x (* x x))) (+ -1/25 (* (* x x) -2/35)))))) (- 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/25 binary64) (.f64 x (.f64 x #s(literal -2/35 binary64))))))) (/.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x #s(literal -1/7 binary64))) #s(literal -1/5 binary64)))))))
1
#s(literal 1 binary64)
(/ (* x (* x (+ 1/9 (* (* x (* x (* x x))) (+ -1/25 (* (* x x) -2/35)))))) (- 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))
(.f64 (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/25 binary64) (.f64 x (.f64 x #s(literal -2/35 binary64))))))) (/.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x #s(literal -1/7 binary64))) #s(literal -1/5 binary64))))))
(* x (* x (+ 1/9 (* (* x (* x (* x x))) (+ -1/25 (* (* x x) -2/35))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/25 binary64) (.f64 x (.f64 x #s(literal -2/35 binary64))))))))
(* x (+ 1/9 (* (* x (* x (* x x))) (+ -1/25 (* (* x x) -2/35)))))
(.f64 x (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/25 binary64) (.f64 x (*.f64 x #s(literal -2/35 binary64))))))))
(+ 1/9 (* (* x (* x (* x x))) (+ -1/25 (* (* x x) -2/35))))
(+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/25 binary64) (.f64 x (.f64 x #s(literal -2/35 binary64)))))))
1/9
#s(literal 1/9 binary64)
(* (* x (* x (* x x))) (+ -1/25 (* (* x x) -2/35)))
(.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/25 binary64) (.f64 x (.f64 x #s(literal -2/35 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)
(+ -1/25 (* (* x x) -2/35))
(+.f64 #s(literal -1/25 binary64) (.f64 x (.f64 x #s(literal -2/35 binary64))))
-1/25
#s(literal -1/25 binary64)
(* (* x x) -2/35)
(.f64 x (.f64 x #s(literal -2/35 binary64)))
-2/35
#s(literal -2/35 binary64)
(- 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))
(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x #s(literal -1/7 binary64))) #s(literal -1/5 binary64))))
1/3
#s(literal 1/3 binary64)
(* (* x x) (+ 1/5 (* x (* x 1/7))))
(.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))
(+ 1/5 (* x (* x 1/7)))
(+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))
1/5
#s(literal 1/5 binary64)
(* x (* x 1/7))
(.f64 (.f64 x x) #s(literal 1/7 binary64))
(* x 1/7)
(*.f64 x #s(literal 1/7 binary64))
1/7
#s(literal 1/7 binary64)

localize123.0ms (1.3%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/25 binary64) (.f64 (.f64 x x) #s(literal -2/35 binary64))))))) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))
✓	accuracy	99.7%	(.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))
✓	accuracy	99.4%	(*.f64 x #s(literal 1/7 binary64))
✓	accuracy	99.3%	(.f64 x (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/25 binary64) (.f64 (*.f64 x x) #s(literal -2/35 binary64))))))

Results

82.0ms

256×

valid

Compiler

Compiled 259 to 26 computations (90% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-mult: 23.0ms (40.2% of total)

...c/correct-round.rkt:119:19: 22.0ms (38.4% of total)

ival-sub: 5.0ms (8.7% of total)

ival-add: 5.0ms (8.7% of total)

ival-div: 2.0ms (3.5% of total)

const: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Counts

7 → 84

Calls

Call 1

Inputs
#<alt (* x (+ 1 (/ (* x (* x (+ 1/9 (* (* x (* x (* x x))) (+ -1/25 (* (* x x) -2/35)))))) (- 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))>
#<alt (+ 1 (/ (* x (* x (+ 1/9 (* (* x (* x (* x x))) (+ -1/25 (* (* x x) -2/35)))))) (- 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))>
#<alt (/ (* x (* x (+ 1/9 (* (* x (* x (* x x))) (+ -1/25 (* (* x x) -2/35)))))) (- 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))>
#<alt (* x (* x (+ 1/9 (* (* x (* x (* x x))) (+ -1/25 (* (* x x) -2/35))))))>
#<alt (* x (+ 1/9 (* (* x (* x (* x x))) (+ -1/25 (* (* x x) -2/35)))))>
#<alt (* x 1/7)>
#<alt (* (* x x) (+ 1/5 (* x (* x 1/7))))>

Outputs
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* 2/5 (pow x 5))>
#<alt (* (pow x 5) (- 2/5 (* 7/25 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 2/5 (/ 872/375 (pow x 4))) (* 7/25 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 2/5 (/ 872/375 (pow x 4))) (+ (* 7/25 (/ 1 (pow x 2))) (* 18487/5625 (/ 1 (pow x 6))))))>
#<alt (* 2/5 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 7/25 (/ 1 (pow x 2))) 2/5)))>
#<alt (* -1 (* (pow x 5) (- (* 7/25 (/ 1 (pow x 2))) (+ 2/5 (/ 872/375 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (+ (* 7/25 (/ 1 (pow x 2))) (* 18487/5625 (/ 1 (pow x 6)))) (+ 2/5 (/ 872/375 (pow x 4))))))>
#<alt 1>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))>
#<alt (* 2/5 (pow x 4))>
#<alt (* (pow x 4) (- 2/5 (* 7/25 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/5 (/ 872/375 (pow x 4))) (* 7/25 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/5 (/ 872/375 (pow x 4))) (+ (* 7/25 (/ 1 (pow x 2))) (* 18487/5625 (/ 1 (pow x 6))))))>
#<alt (* 2/5 (pow x 4))>
#<alt (* (pow x 4) (- 2/5 (* 7/25 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/5 (/ 872/375 (pow x 4))) (* 7/25 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/5 (/ 872/375 (pow x 4))) (+ (* 7/25 (/ 1 (pow x 2))) (* 18487/5625 (/ 1 (pow x 6))))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/7 (* 3/49 (pow x 4))))))))>
#<alt (* 2/5 (pow x 4))>
#<alt (* (pow x 4) (- 2/5 (* 7/25 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/5 (/ 497/375 (pow x 4))) (* 7/25 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/5 (/ 497/375 (pow x 4))) (+ (* 7/25 (/ 1 (pow x 2))) (* 18487/5625 (/ 1 (pow x 6))))))>
#<alt (* 2/5 (pow x 4))>
#<alt (* (pow x 4) (- 2/5 (* 7/25 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/5 (/ 497/375 (pow x 4))) (* 7/25 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/5 (/ 497/375 (pow x 4))) (+ (* 7/25 (/ 1 (pow x 2))) (* 18487/5625 (/ 1 (pow x 6))))))>
#<alt (* 1/9 (pow x 2))>
#<alt (* (pow x 2) (+ 1/9 (* -1/25 (pow x 4))))>
#<alt (* (pow x 2) (+ 1/9 (* (pow x 4) (- (* -2/35 (pow x 2)) 1/25))))>
#<alt (* (pow x 2) (+ 1/9 (* (pow x 4) (- (* -2/35 (pow x 2)) 1/25))))>
#<alt (* -2/35 (pow x 8))>
#<alt (* -1 (* (pow x 8) (+ 2/35 (* 1/25 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (- (/ 1/9 (pow x 6)) (+ 2/35 (* 1/25 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (- (/ 1/9 (pow x 6)) (+ 2/35 (* 1/25 (/ 1 (pow x 2))))))>
#<alt (* -2/35 (pow x 8))>
#<alt (* -1 (* (pow x 8) (+ 2/35 (* 1/25 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (- (/ 1/9 (pow x 6)) (+ 2/35 (* 1/25 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (- (/ 1/9 (pow x 6)) (+ 2/35 (* 1/25 (/ 1 (pow x 2))))))>
#<alt (* 1/9 x)>
#<alt (* x (+ 1/9 (* -1/25 (pow x 4))))>
#<alt (* x (+ 1/9 (* (pow x 4) (- (* -2/35 (pow x 2)) 1/25))))>
#<alt (* x (+ 1/9 (* (pow x 4) (- (* -2/35 (pow x 2)) 1/25))))>
#<alt (* -2/35 (pow x 7))>
#<alt (* -1 (* (pow x 7) (+ 2/35 (* 1/25 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (- (/ 1/9 (pow x 6)) (+ 2/35 (* 1/25 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (- (/ 1/9 (pow x 6)) (+ 2/35 (* 1/25 (/ 1 (pow x 2))))))>
#<alt (* -2/35 (pow x 7))>
#<alt (* -1 (* (pow x 7) (+ 2/35 (* 1/25 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 2/35 (* 1/25 (/ 1 (pow x 2)))) (/ 1/9 (pow x 6)))))>
#<alt (* -1 (* (pow x 7) (- (+ 2/35 (* 1/25 (/ 1 (pow x 2)))) (/ 1/9 (pow x 6)))))>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/5 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* 1/7 (pow x 4))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/7 (pow x 4))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(* x (+ 1 (/ (* x (* x (+ 1/9 (* (* x (* x (* x x))) (+ -1/25 (* (* x x) -2/35)))))) (- 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))
1.0ms	x	@	inf	(* x (+ 1 (/ (* x (* x (+ 1/9 (* (* x (* x (* x x))) (+ -1/25 (* (* x x) -2/35)))))) (- 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))
0.0ms	x	@	inf	(* x (* x (+ 1/9 (* (* x (* x (* x x))) (+ -1/25 (* (* x x) -2/35))))))
0.0ms	x	@	-inf	(* x (+ 1 (/ (* x (* x (+ 1/9 (* (* x (* x (* x x))) (+ -1/25 (* (* x x) -2/35)))))) (- 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))
0.0ms	x	@	inf	(/ (* x (* x (+ 1/9 (* (* x (* x (* x x))) (+ -1/25 (* (* x x) -2/35)))))) (- 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))

rewrite330.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3740×	`-lowering-.f32`
3740×	`-lowering-.f64`
2740×	`/-lowering-/.f32`
2740×	`/-lowering-/.f64`
2466×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	155
1	159	129
2	1457	126
0	8165	126

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 206

Calls

Call 1

Inputs
(* x (+ 1 (/ (* x (* x (+ 1/9 (* (* x (* x (* x x))) (+ -1/25 (* (* x x) -2/35)))))) (- 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))
(+ 1 (/ (* x (* x (+ 1/9 (* (* x (* x (* x x))) (+ -1/25 (* (* x x) -2/35)))))) (- 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))
(/ (* x (* x (+ 1/9 (* (* x (* x (* x x))) (+ -1/25 (* (* x x) -2/35)))))) (- 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))
(* x (* x (+ 1/9 (* (* x (* x (* x x))) (+ -1/25 (* (* x x) -2/35))))))
(* x (+ 1/9 (* (* x (* x (* x x))) (+ -1/25 (* (* x x) -2/35)))))
(* x 1/7)
(* (* x x) (+ 1/5 (* x (* x 1/7))))

Outputs
(+.f64 x (/.f64 x (/.f64 (-.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/25 binary64) (.f64 (.f64 x x) #s(literal -2/35 binary64))))))))))
(+.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/25 binary64) (.f64 (.f64 x x) #s(literal -2/35 binary64))))))))) x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (/.f64 x (/.f64 (-.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/25 binary64) (.f64 (.f64 x x) #s(literal -2/35 binary64))))))))))) (/.f64 (.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/25 binary64) (.f64 (.f64 x x) #s(literal -2/35 binary64))))))))) (/.f64 x (/.f64 (-.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/25 binary64) (.f64 (.f64 x x) #s(literal -2/35 binary64)))))))))) (-.f64 x (/.f64 x (/.f64 (-.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/25 binary64) (.f64 (.f64 x x) #s(literal -2/35 binary64))))))))))))
(fma.f64 x #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/25 binary64) (.f64 (.f64 x x) #s(literal -2/35 binary64))))))))))
(fma.f64 x (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/25 binary64) (.f64 (.f64 x x) #s(literal -2/35 binary64))))))) (-.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))) x)
(fma.f64 #s(literal 1 binary64) x (/.f64 x (/.f64 (-.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/25 binary64) (.f64 (.f64 x x) #s(literal -2/35 binary64))))))))))
(fma.f64 (.f64 x x) (.f64 x (/.f64 (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/25 binary64) (.f64 (.f64 x x) #s(literal -2/35 binary64)))))) (-.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))))) x)
(fma.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/25 binary64) (.f64 (.f64 x x) #s(literal -2/35 binary64))))))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) x) x)
(fma.f64 (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/25 binary64) (.f64 (.f64 x x) #s(literal -2/35 binary64))))))) (-.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))) x x)
(fma.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/25 binary64) (.f64 (.f64 x x) #s(literal -2/35 binary64)))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) x)
(/.f64 (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 (-.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))) (.f64 (-.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))) (-.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))))) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/25 binary64) (.f64 (.f64 x x) #s(literal -2/35 binary64))))))) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/25 binary64) (.f64 (.f64 x x) #s(literal -2/35 binary64))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/25 binary64) (.f64 (.f64 x x) #s(literal -2/35 binary64)))))))))))) (+.f64 (.f64 x x) (-.f64 (.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/25 binary64) (.f64 (.f64 x x) #s(literal -2/35 binary64))))))))) (/.f64 x (/.f64 (-.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/25 binary64) (.f64 (.f64 x x) #s(literal -2/35 binary64)))))))))) (.f64 x (/.f64 x (/.f64 (-.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/25 binary64) (.f64 (*.f64 x x) #s(literal -2/35 binary64)))))))))))))
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(/.f64 (-.f64 (.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) (.f64 x (.f64 x #s(literal 1/5 binary64)))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/7 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/7 binary64))))) (-.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64))))) (+.f64 #s(literal 1/25 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/7 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 1/7 binary64)) #s(literal 1/5 binary64)))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/49 binary64)))) (-.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1/125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64)))) (.f64 x x)) (+.f64 #s(literal 1/25 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/7 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 1/7 binary64)) #s(literal 1/5 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/49 binary64))) (.f64 x x)) (-.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 1/125 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (neg.f64 (+.f64 (.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) (.f64 x (.f64 x #s(literal 1/5 binary64)))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/7 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/7 binary64)))) (.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) (.f64 x (.f64 x #s(literal 1/5 binary64)))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/7 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))) (neg.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64)))))) (neg.f64 (+.f64 #s(literal 1/25 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/7 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 1/7 binary64)) #s(literal 1/5 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/49 binary64))))) (neg.f64 (-.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64)))) (.f64 x x))) (neg.f64 (+.f64 #s(literal 1/25 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/7 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 1/7 binary64)) #s(literal 1/5 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/49 binary64))) (.f64 x x))) (neg.f64 (-.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 #s(literal 1/125 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/7 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/7 binary64)))) (-.f64 (.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) (.f64 x (.f64 x #s(literal 1/5 binary64)))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/7 binary64))) (.f64 x (*.f64 x #s(literal 1/5 binary64)))))))
(.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))
(.f64 (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))) x)

simplify276.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

3622×	`+-lowering-+.f64`
3622×	`+-lowering-+.f32`
3370×	`-lowering-.f32`
3370×	`-lowering-.f64`
1304×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	116	920
1	347	881
2	1127	857
3	3733	857
0	8062	857

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 2/5 (pow x 5))
(* (pow x 5) (- 2/5 (* 7/25 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/5 (/ 872/375 (pow x 4))) (* 7/25 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/5 (/ 872/375 (pow x 4))) (+ (* 7/25 (/ 1 (pow x 2))) (* 18487/5625 (/ 1 (pow x 6))))))
(* 2/5 (pow x 5))
(* -1 (* (pow x 5) (- (* 7/25 (/ 1 (pow x 2))) 2/5)))
(* -1 (* (pow x 5) (- (* 7/25 (/ 1 (pow x 2))) (+ 2/5 (/ 872/375 (pow x 4))))))
(* -1 (* (pow x 5) (- (+ (* 7/25 (/ 1 (pow x 2))) (* 18487/5625 (/ 1 (pow x 6)))) (+ 2/5 (/ 872/375 (pow x 4))))))
1
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))
(* 2/5 (pow x 4))
(* (pow x 4) (- 2/5 (* 7/25 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/5 (/ 872/375 (pow x 4))) (* 7/25 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/5 (/ 872/375 (pow x 4))) (+ (* 7/25 (/ 1 (pow x 2))) (* 18487/5625 (/ 1 (pow x 6))))))
(* 2/5 (pow x 4))
(* (pow x 4) (- 2/5 (* 7/25 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/5 (/ 872/375 (pow x 4))) (* 7/25 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/5 (/ 872/375 (pow x 4))) (+ (* 7/25 (/ 1 (pow x 2))) (* 18487/5625 (/ 1 (pow x 6))))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/7 (* 3/49 (pow x 4))))))))
(* 2/5 (pow x 4))
(* (pow x 4) (- 2/5 (* 7/25 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/5 (/ 497/375 (pow x 4))) (* 7/25 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/5 (/ 497/375 (pow x 4))) (+ (* 7/25 (/ 1 (pow x 2))) (* 18487/5625 (/ 1 (pow x 6))))))
(* 2/5 (pow x 4))
(* (pow x 4) (- 2/5 (* 7/25 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/5 (/ 497/375 (pow x 4))) (* 7/25 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/5 (/ 497/375 (pow x 4))) (+ (* 7/25 (/ 1 (pow x 2))) (* 18487/5625 (/ 1 (pow x 6))))))
(* 1/9 (pow x 2))
(* (pow x 2) (+ 1/9 (* -1/25 (pow x 4))))
(* (pow x 2) (+ 1/9 (* (pow x 4) (- (* -2/35 (pow x 2)) 1/25))))
(* (pow x 2) (+ 1/9 (* (pow x 4) (- (* -2/35 (pow x 2)) 1/25))))
(* -2/35 (pow x 8))
(* -1 (* (pow x 8) (+ 2/35 (* 1/25 (/ 1 (pow x 2))))))
(* (pow x 8) (- (/ 1/9 (pow x 6)) (+ 2/35 (* 1/25 (/ 1 (pow x 2))))))
(* (pow x 8) (- (/ 1/9 (pow x 6)) (+ 2/35 (* 1/25 (/ 1 (pow x 2))))))
(* -2/35 (pow x 8))
(* -1 (* (pow x 8) (+ 2/35 (* 1/25 (/ 1 (pow x 2))))))
(* (pow x 8) (- (/ 1/9 (pow x 6)) (+ 2/35 (* 1/25 (/ 1 (pow x 2))))))
(* (pow x 8) (- (/ 1/9 (pow x 6)) (+ 2/35 (* 1/25 (/ 1 (pow x 2))))))
(* 1/9 x)
(* x (+ 1/9 (* -1/25 (pow x 4))))
(* x (+ 1/9 (* (pow x 4) (- (* -2/35 (pow x 2)) 1/25))))
(* x (+ 1/9 (* (pow x 4) (- (* -2/35 (pow x 2)) 1/25))))
(* -2/35 (pow x 7))
(* -1 (* (pow x 7) (+ 2/35 (* 1/25 (/ 1 (pow x 2))))))
(* (pow x 7) (- (/ 1/9 (pow x 6)) (+ 2/35 (* 1/25 (/ 1 (pow x 2))))))
(* (pow x 7) (- (/ 1/9 (pow x 6)) (+ 2/35 (* 1/25 (/ 1 (pow x 2))))))
(* -2/35 (pow x 7))
(* -1 (* (pow x 7) (+ 2/35 (* 1/25 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 2/35 (* 1/25 (/ 1 (pow x 2)))) (/ 1/9 (pow x 6)))))
(* -1 (* (pow x 7) (- (+ 2/35 (* 1/25 (/ 1 (pow x 2)))) (/ 1/9 (pow x 6)))))
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/5 (pow x 2))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))

Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))
(* 2/5 (pow x 5))
(.f64 #s(literal 2/5 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 5) (- 2/5 (* 7/25 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 2/5 binary64) (/.f64 #s(literal -7/25 binary64) (.f64 x x))))
(* (pow x 5) (- (+ 2/5 (/ 872/375 (pow x 4))) (* 7/25 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 2/5 binary64) (+.f64 (/.f64 #s(literal 872/375 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -7/25 binary64) (*.f64 x x)))))
(* (pow x 5) (- (+ 2/5 (/ 872/375 (pow x 4))) (+ (* 7/25 (/ 1 (pow x 2))) (* 18487/5625 (/ 1 (pow x 6))))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal 2/5 binary64) (/.f64 #s(literal -7/25 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 872/375 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -18487/5625 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))))
(* 2/5 (pow x 5))
(.f64 #s(literal 2/5 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* -1 (* (pow x 5) (- (* 7/25 (/ 1 (pow x 2))) 2/5)))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 2/5 binary64) (/.f64 #s(literal -7/25 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* 7/25 (/ 1 (pow x 2))) (+ 2/5 (/ 872/375 (pow x 4))))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 2/5 binary64) (+.f64 (/.f64 #s(literal 872/375 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -7/25 binary64) (*.f64 x x)))))
(* -1 (* (pow x 5) (- (+ (* 7/25 (/ 1 (pow x 2))) (* 18487/5625 (/ 1 (pow x 6)))) (+ 2/5 (/ 872/375 (pow x 4))))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal 2/5 binary64) (/.f64 #s(literal -7/25 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 872/375 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -18487/5625 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))))
1
#s(literal 1 binary64)
(+ 1 (* 1/3 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))))
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))))
(* 2/5 (pow x 4))
(.f64 #s(literal 2/5 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- 2/5 (* 7/25 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 2/5 binary64) (/.f64 #s(literal -7/25 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- (+ 2/5 (/ 872/375 (pow x 4))) (* 7/25 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 2/5 binary64) (+.f64 (/.f64 #s(literal 872/375 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -7/25 binary64) (.f64 x x)))))
(* (pow x 4) (- (+ 2/5 (/ 872/375 (pow x 4))) (+ (* 7/25 (/ 1 (pow x 2))) (* 18487/5625 (/ 1 (pow x 6))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (+.f64 #s(literal 2/5 binary64) (/.f64 #s(literal -7/25 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 872/375 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -18487/5625 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))))
(* 2/5 (pow x 4))
(.f64 #s(literal 2/5 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- 2/5 (* 7/25 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 2/5 binary64) (/.f64 #s(literal -7/25 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- (+ 2/5 (/ 872/375 (pow x 4))) (* 7/25 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 2/5 binary64) (+.f64 (/.f64 #s(literal 872/375 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -7/25 binary64) (.f64 x x)))))
(* (pow x 4) (- (+ 2/5 (/ 872/375 (pow x 4))) (+ (* 7/25 (/ 1 (pow x 2))) (* 18487/5625 (/ 1 (pow x 6))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (+.f64 #s(literal 2/5 binary64) (/.f64 #s(literal -7/25 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 872/375 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -18487/5625 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/7 (* 3/49 (pow x 4))))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/7 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 3/49 binary64))))))))
(* 2/5 (pow x 4))
(.f64 #s(literal 2/5 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- 2/5 (* 7/25 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 2/5 binary64) (/.f64 #s(literal -7/25 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- (+ 2/5 (/ 497/375 (pow x 4))) (* 7/25 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 2/5 binary64) (+.f64 (/.f64 #s(literal 497/375 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -7/25 binary64) (.f64 x x)))))
(* (pow x 4) (- (+ 2/5 (/ 497/375 (pow x 4))) (+ (* 7/25 (/ 1 (pow x 2))) (* 18487/5625 (/ 1 (pow x 6))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (+.f64 #s(literal 2/5 binary64) (/.f64 #s(literal -7/25 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 497/375 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -18487/5625 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))))
(* 2/5 (pow x 4))
(.f64 #s(literal 2/5 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- 2/5 (* 7/25 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 2/5 binary64) (/.f64 #s(literal -7/25 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- (+ 2/5 (/ 497/375 (pow x 4))) (* 7/25 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 2/5 binary64) (+.f64 (/.f64 #s(literal 497/375 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -7/25 binary64) (.f64 x x)))))
(* (pow x 4) (- (+ 2/5 (/ 497/375 (pow x 4))) (+ (* 7/25 (/ 1 (pow x 2))) (* 18487/5625 (/ 1 (pow x 6))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (+.f64 #s(literal 2/5 binary64) (/.f64 #s(literal -7/25 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 497/375 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -18487/5625 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))))
(* 1/9 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/9 binary64))
(* (pow x 2) (+ 1/9 (* -1/25 (pow x 4))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/25 binary64))))
(* (pow x 2) (+ 1/9 (* (pow x 4) (- (* -2/35 (pow x 2)) 1/25))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/25 binary64) (.f64 (.f64 x x) #s(literal -2/35 binary64))))))
(* (pow x 2) (+ 1/9 (* (pow x 4) (- (* -2/35 (pow x 2)) 1/25))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/25 binary64) (.f64 (.f64 x x) #s(literal -2/35 binary64))))))
(* -2/35 (pow x 8))
(*.f64 #s(literal -2/35 binary64) (pow.f64 x #s(literal 8 binary64)))
(* -1 (* (pow x 8) (+ 2/35 (* 1/25 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -2/35 binary64) (/.f64 #s(literal -1/25 binary64) (.f64 x x))))
(* (pow x 8) (- (/ 1/9 (pow x 6)) (+ 2/35 (* 1/25 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal -2/35 binary64) (/.f64 #s(literal -1/25 binary64) (*.f64 x x)))))
(* (pow x 8) (- (/ 1/9 (pow x 6)) (+ 2/35 (* 1/25 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal -2/35 binary64) (/.f64 #s(literal -1/25 binary64) (*.f64 x x)))))
(* -2/35 (pow x 8))
(*.f64 #s(literal -2/35 binary64) (pow.f64 x #s(literal 8 binary64)))
(* -1 (* (pow x 8) (+ 2/35 (* 1/25 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -2/35 binary64) (/.f64 #s(literal -1/25 binary64) (.f64 x x))))
(* (pow x 8) (- (/ 1/9 (pow x 6)) (+ 2/35 (* 1/25 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal -2/35 binary64) (/.f64 #s(literal -1/25 binary64) (*.f64 x x)))))
(* (pow x 8) (- (/ 1/9 (pow x 6)) (+ 2/35 (* 1/25 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal -2/35 binary64) (/.f64 #s(literal -1/25 binary64) (*.f64 x x)))))
(* 1/9 x)
(*.f64 x #s(literal 1/9 binary64))
(* x (+ 1/9 (* -1/25 (pow x 4))))
(.f64 x (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/25 binary64))))
(* x (+ 1/9 (* (pow x 4) (- (* -2/35 (pow x 2)) 1/25))))
(.f64 x (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/25 binary64) (.f64 (*.f64 x x) #s(literal -2/35 binary64))))))
(* x (+ 1/9 (* (pow x 4) (- (* -2/35 (pow x 2)) 1/25))))
(.f64 x (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/25 binary64) (.f64 (*.f64 x x) #s(literal -2/35 binary64))))))
(* -2/35 (pow x 7))
(*.f64 #s(literal -2/35 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (+ 2/35 (* 1/25 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -2/35 binary64) (/.f64 #s(literal -1/25 binary64) (.f64 x x))))
(* (pow x 7) (- (/ 1/9 (pow x 6)) (+ 2/35 (* 1/25 (/ 1 (pow x 2))))))
(.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal -2/35 binary64) (/.f64 #s(literal -1/25 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (/ 1/9 (pow x 6)) (+ 2/35 (* 1/25 (/ 1 (pow x 2))))))
(.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal -2/35 binary64) (/.f64 #s(literal -1/25 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* -2/35 (pow x 7))
(*.f64 #s(literal -2/35 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (+ 2/35 (* 1/25 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -2/35 binary64) (/.f64 #s(literal -1/25 binary64) (.f64 x x))))
(* -1 (* (pow x 7) (- (+ 2/35 (* 1/25 (/ 1 (pow x 2)))) (/ 1/9 (pow x 6)))))
(.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal -2/35 binary64) (/.f64 #s(literal -1/25 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 2/35 (* 1/25 (/ 1 (pow x 2)))) (/ 1/9 (pow x 6)))))
(.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal -2/35 binary64) (/.f64 #s(literal -1/25 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/5 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5 binary64))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))
(* 1/7 (pow x 4))
(.f64 #s(literal 1/7 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))))
(* 1/7 (pow x 4))
(.f64 #s(literal 1/7 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))))

eval46.0ms (0.5%)

Compiler: Compiled 18495 to 1152 computations (93.8% saved)

prune39.0ms (0.4%)

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	287	3	290
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	287	11	298

Accuracy

100.0%

Counts

298 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(+.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/5 binary64) (*.f64 x x)))) x)
✓	99.7%	(+.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64))))))))) x)
✓	99.3%	(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64)))) x)
	99.7%	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/25 binary64) (.f64 (.f64 x x) #s(literal -2/35 binary64))))))) (-.f64 #s(literal 1/3 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/7 binary64))) (.f64 x (*.f64 x #s(literal 1/5 binary64))))))))
✓	99.7%	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/25 binary64) (.f64 (.f64 x x) #s(literal -2/35 binary64))))))) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))
	99.7%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/7 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 3/49 binary64))))))))))
✓	99.6%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64))))))))
✓	99.3%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
	98.5%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/5 binary64) (.f64 x (.f64 x (*.f64 x x))))))
✓	8.8%	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
✓	98.5%	x

Compiler

Compiled 504 to 222 computations (56% saved)

regimes17.0ms (0.2%)

Counts

14 → 1

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64)))) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/5 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64))))))))
(+.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/5 binary64) (*.f64 x x)))) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))
(+.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64))))))))) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/7 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 3/49 binary64))))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/25 binary64) (.f64 (.f64 x x) #s(literal -2/35 binary64))))))) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/25 binary64) (.f64 (.f64 x x) #s(literal -2/35 binary64))))))) (-.f64 #s(literal 1/3 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/7 binary64))) (.f64 x (*.f64 x #s(literal 1/5 binary64))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (.f64 (.f64 x x) (.f64 x x))))) (.f64 x x)) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))))
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))

Outputs

(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/25 binary64) (*.f64 (*.f64 x x) #s(literal -2/35 binary64))))))) (-.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))))))

Calls

4 calls:

5.0ms	x
3.0ms	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
3.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
3.0ms	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
99.7%	1	`(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
99.7%	1	`(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 32 to 21 computations (34.4% saved)

regimes4.0ms (0%)

Counts

10 → 1

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64)))) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/5 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64))))))))
(+.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/5 binary64) (*.f64 x x)))) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))
(+.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64))))))))) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/7 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 3/49 binary64))))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/25 binary64) (.f64 (.f64 x x) #s(literal -2/35 binary64))))))) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))

Outputs

(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/25 binary64) (*.f64 (*.f64 x x) #s(literal -2/35 binary64))))))) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

9 → 1

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64)))) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/5 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64))))))))
(+.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/5 binary64) (*.f64 x x)))) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))
(+.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64))))))))) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/7 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 3/49 binary64))))))))))

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
98.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

78×	`*-commutative_binary64`
54×	`+-commutative_binary64`
30×	`sub-neg_binary64`
30×	`distribute-lft-neg-in_binary64`
30×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	149
1	99	149
2	120	149
3	150	149
4	185	149
5	205	149
6	213	149
7	215	149

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/25 binary64) (.f64 (.f64 x x) #s(literal -2/35 binary64))))))) (-.f64 #s(literal 1/3 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/7 binary64))) (.f64 x (*.f64 x #s(literal 1/5 binary64))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/25 binary64) (.f64 (.f64 x x) #s(literal -2/35 binary64))))))) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))
(+.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64))))))))) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
x

Outputs
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/25 binary64) (.f64 (.f64 x x) #s(literal -2/35 binary64))))))) (-.f64 #s(literal 1/3 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/7 binary64))) (.f64 x (*.f64 x #s(literal 1/5 binary64))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/25 binary64) (.f64 (.f64 x x) #s(literal -2/35 binary64))))))) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))
(+.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64))))))))) x)
(+.f64 x (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64))))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
x

soundness1.5s (15.9%)

Rules

3992×	`-lowering-.f32`
3992×	`-lowering-.f64`
3854×	`-lowering-.f32`
3854×	`-lowering-.f64`
3740×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	159
1	158	142
2	1464	136
0	8152	136
0	136	2089
1	449	1955
2	1355	1919
3	4035	1907
0	8613	1907
0	25	155
1	159	129
2	1457	126
0	8165	126
0	110	380
1	341	345
2	1011	337
3	2857	334
4	5104	334
0	8012	334
0	10	10
1	16	10
2	20	10
3	26	10
4	35	10
5	50	10
6	73	10
7	98	10
8	145	10
9	217	10
10	271	10
11	442	10
12	990	10
13	1689	10
14	1767	10
0	1767	10

Stop Event

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

Compiler

Compiled 392 to 213 computations (45.7% saved)

preprocess49.0ms (0.5%)

Compiler: Compiled 326 to 120 computations (63.2% saved)

analyze4.0ms (0%)

sample3.0s (31.2%)

preprocess65.0ms (0.7%)

explain273.0ms (2.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify56.0ms (0.6%)

localize99.0ms (1%)

series4.0ms (0%)

rewrite294.0ms (3.1%)

simplify219.0ms (2.3%)

eval60.0ms (0.6%)

prune93.0ms (1%)

simplify92.0ms (1%)

localize145.0ms (1.5%)

series18.0ms (0.2%)

rewrite400.0ms (4.2%)

simplify251.0ms (2.6%)

eval124.0ms (1.3%)

prune77.0ms (0.8%)

simplify299.0ms (3.1%)

localize204.0ms (2.1%)

series11.0ms (0.1%)

rewrite394.0ms (4.1%)

simplify535.0ms (5.6%)

eval127.0ms (1.3%)

prune107.0ms (1.1%)

simplify230.0ms (2.4%)

localize123.0ms (1.3%)

series6.0ms (0.1%)

rewrite330.0ms (3.4%)

simplify276.0ms (2.9%)

eval46.0ms (0.5%)

prune39.0ms (0.4%)

regimes17.0ms (0.2%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

simplify15.0ms (0.2%)

soundness1.5s (15.9%)

preprocess49.0ms (0.5%)

end0.0ms (0%)

Profiling