Metrics for Logistic function from Lakshay Garg

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 13 to 11 computations (15.4% saved)

Precisions

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

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

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

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

ival-add: 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)

sample2.3s (26.8%)

Results

910.0ms	4021×	1	valid
339.0ms	4235×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 810.0ms

ival-exp: 305.0ms (37.6% of total)

ival-mult: 138.0ms (17% of total)

ival-div: 104.0ms (12.8% of total)

ival-sub: 96.0ms (11.8% of total)

ival-add: 74.0ms (9.1% of total)

backward-pass: 70.0ms (8.6% of total)

const: 23.0ms (2.8% of total)

Bogosity

preprocess40.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

292×	`sum3-define`
260×	`fmsub-define`
180×	`fma-define`
166×	`fmm-def`
154×	`fnmadd-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	64
1	47	62
2	89	60
3	139	58
4	198	58
5	272	58
6	364	58
7	465	58
8	566	58
9	719	58
10	896	58
11	932	58
12	1016	58
13	1073	58
14	1082	58
15	1138	58
0	9	10
1	18	10
2	21	10
0	21	10

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

Inputs
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
(- (/ 2 (+ 1 (exp (* -2 (neg x))))) 1)
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
(neg (- (/ 2 (+ 1 (exp (* -2 (neg x))))) 1))
(neg (- (/ 2 (+ 1 (exp (* -2 x)))) 1))
(- (/ 2 (+ 1 (exp (* -2 y)))) 1)

Outputs
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
(+ (/ 2 (+ 1 (pow (exp -2) x))) -1)
(- (/ 2 (+ 1 (exp (* -2 (neg x))))) 1)
(+ (/ 2 (+ 1 (square (exp x)))) -1)
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
(+ (/ 2 (+ 1 (pow (exp -2) x))) -1)
(neg (- (/ 2 (+ 1 (exp (* -2 (neg x))))) 1))
(+ 1 (/ -2 (+ 1 (square (exp x)))))
(neg (- (/ 2 (+ 1 (exp (* -2 x)))) 1))
(+ 1 (/ 2 (- -1 (pow (exp -2) x))))
(- (/ 2 (+ 1 (exp (* -2 y)))) 1)
(+ (/ 2 (+ 1 (pow (exp -2) y))) -1)

Symmetry

(abs y)

explain190.0ms (2.2%)

FPErrors

Click to see full error table

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

Results

115.0ms	242×	1	valid
31.0ms	270×	0	valid

Compiler

Compiled 88 to 32 computations (63.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-mult: 19.0ms (32.3% of total)

ival-exp: 17.0ms (28.9% of total)

backward-pass: 7.0ms (11.9% of total)

ival-div: 6.0ms (10.2% of total)

ival-sub: 4.0ms (6.8% of total)

ival-add: 4.0ms (6.8% of total)

const: 2.0ms (3.4% of total)

eval0.0ms (0%)

Compiler: Compiled 12 to 11 computations (8.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.0%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))

Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify16.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

8×	`+-lowering-+.f64`
8×	`+-lowering-+.f32`
6×	`exp-lowering-exp.f32`
6×	`exp-lowering-exp.f64`
4×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	35
1	18	35
2	21	35
0	21	35

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize86.0ms (1%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 (*.f64 #s(literal -2 binary64) x))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
✓	accuracy	56.0%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))

Results

56.0ms	121×	1	valid
17.0ms	135×	0	valid

Compiler

Compiled 38 to 11 computations (71.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-exp: 8.0ms (34.6% of total)

ival-div: 3.0ms (13% of total)

backward-pass: 3.0ms (13% of total)

ival-mult: 3.0ms (13% of total)

ival-sub: 2.0ms (8.7% of total)

ival-add: 2.0ms (8.7% of total)

const: 1.0ms (4.3% of total)

series4.0ms (0%)

Counts

4 → 48

Calls

Call 1

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

Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))>
#<alt (+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))>
#<alt (/ 2 (+ 1 (exp (* -2 x))))>
#<alt (/ 2 (+ 1 (exp (* -2 x))))>
#<alt (/ 2 (+ 1 (exp (* -2 x))))>
#<alt (/ 2 (+ 1 (exp (* -2 x))))>
#<alt (/ 2 (+ 1 (exp (* -2 x))))>
#<alt (/ 2 (+ 1 (exp (* -2 x))))>
#<alt (/ 2 (+ 1 (exp (* -2 x))))>
#<alt (/ 2 (+ 1 (exp (* -2 x))))>
#<alt 2>
#<alt (+ 2 (* -2 x))>
#<alt (+ 2 (* x (- (* 2 x) 2)))>
#<alt (+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt 1>
#<alt (+ 1 (* -2 x))>
#<alt (+ 1 (* x (- (* 2 x) 2)))>
#<alt (+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>

Calls

12 calls:

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

rewrite145.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1690×	`fnmadd-define`
1260×	`fnmsub-define`
1178×	`fmsub-define`
1036×	`fmm-def`
1016×	`fma-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	25	28
2	65	28
3	195	28
4	487	27
5	1066	27
6	3339	27
7	7342	27
0	8038	27

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 133

Calls

Call 1

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

Outputs
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -2 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(expm1.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))
(neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))
(.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))) #s(literal -1 binary64))
(.f64 (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(exp.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 0 binary64))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -2 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64) #s(literal 0 binary64))
(neg.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64))))
(/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1/2 binary64))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1/2 binary64))
(/.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (E.f64) (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (log.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))))
(.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))))
(.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (pow.f64 (E.f64) (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 1/2 binary64)))))
(.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (pow.f64 (E.f64) (+.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)))) (log1p.f64 (exp.f64 (.f64 #s(literal -2 binary64) x))))))
(.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (pow.f64 (E.f64) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))) (log.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))))))
(.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (pow.f64 (E.f64) (+.f64 (log.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))) (log.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal -2 binary64)))))))
(.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (pow.f64 (E.f64) (+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 #s(literal -1/2 binary64)))))
(.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (-.f64 (log.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (log.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))))))
(.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 #s(literal -2 binary64)))))
(.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (-.f64 (log1p.f64 (exp.f64 (.f64 #s(literal -2 binary64) x))) (log1p.f64 (exp.f64 (.f64 #s(literal -2 binary64) x))))))
(.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (+.f64 (log.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal -2 binary64)))) (log.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal -2 binary64))
(.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(exp.f64 (log1p.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 0 binary64))
(fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64) #s(literal 1 binary64))
(neg.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
(pow.f64 (E.f64) (log1p.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) (pow.f64 (E.f64) (-.f64 (log.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (log.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))))))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))) (log.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))))))
(.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(exp.f64 (.f64 (.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)))
(exp.f64 (.f64 #s(literal -2 binary64) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))))
(exp.f64 (*.f64 #s(literal -2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 0 binary64))
(fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64) #s(literal 0 binary64))
(neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x)))
(/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal -2 binary64)) x)
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 x #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (.f64 (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (.f64 (.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(pow.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))
(.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))
(.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64))

simplify193.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

2240×	`sum3-define`
1752×	`-lowering-.f32`
1752×	`-lowering-.f64`
1508×	`sum5-define`
1320×	`fnmadd-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	49	351
1	130	326
2	309	323
3	826	323
4	1921	323
5	2795	323
6	3261	323
7	4012	323
8	6748	323
0	8128	323

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) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
1
(+ 1 (* -2 x))
(+ 1 (* x (- (* 2 x) 2)))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (-.f64 (.f64 x (*.f64 x #s(literal -17/315 binary64))) #s(literal -2/15 binary64)))))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (*.f64 x x)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64))))))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))
(+ 2 (* x (- (* 2 x) 2)))
(+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (.f64 x #s(literal 2 binary64)))))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4/3 binary64)))))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64)))
(+ 1 (* x (- (* 2 x) 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (.f64 x #s(literal 2 binary64)))))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 4/3 binary64)))))))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))

eval20.0ms (0.2%)

Compiler: Compiled 2293 to 480 computations (79.1% saved)

prune26.0ms (0.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	172	9	181
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	172	10	182

Accuracy

100.0%

Counts

182 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.6%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4/3 binary64)))))))) #s(literal 1 binary64))
	31.4%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (.f64 x #s(literal 2 binary64)))))) #s(literal 1 binary64))
▶	31.2%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64))
✓	56.0%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
▶	6.8%	(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
▶	6.1%	(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))) #s(literal 1 binary64))
	48.6%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (-.f64 (.f64 x (*.f64 x #s(literal -17/315 binary64))) #s(literal -2/15 binary64)))))))
▶	50.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
	48.4%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (*.f64 x x))))
▶	50.6%	x

Compiler

Compiled 266 to 190 computations (28.6% saved)

simplify595.0ms (6.8%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64))))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64))))))))
✓	cost-diff	256	(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))) #s(literal 1 binary64))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64))))
✓	cost-diff	0	(.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64)))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64))))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
✓	cost-diff	0	(*.f64 x #s(literal -2 binary64))
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))
✓	cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64))
✓	cost-diff	128	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64))))
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	256	(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))

Rules

3158×	`+-lowering-+.f64`
3158×	`+-lowering-+.f32`
2368×	`-lowering-.f32`
2368×	`-lowering-.f64`
2070×	`--lowering--.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	21	177
1	58	155
2	152	152
3	770	152
4	2599	152
5	5544	150
6	7816	150
0	8144	150

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
x
(- (+ x 1) 1)
(+ x 1)
x
1
(- (/ 2 (+ 2 (* x -2))) 1)
(/ 2 (+ 2 (* x -2)))
2
(+ 2 (* x -2))
(* x -2)
x
-2
1
(* x (+ 1 (* x (* x (+ -1/3 (* (* x x) 2/15))))))
x
(+ 1 (* x (* x (+ -1/3 (* (* x x) 2/15)))))
1
(* x (* x (+ -1/3 (* (* x x) 2/15))))
(* x (+ -1/3 (* (* x x) 2/15)))
(+ -1/3 (* (* x x) 2/15))
-1/3
(* (* x x) 2/15)
(* x x)
2/15
(- (+ 1 (* x (+ 1 (* x (* x (+ -1/3 (* (* x x) 2/15))))))) 1)
(+ 1 (* x (+ 1 (* x (* x (+ -1/3 (* (* x x) 2/15)))))))
1
(* x (+ 1 (* x (* x (+ -1/3 (* (* x x) 2/15))))))
x
(+ 1 (* x (* x (+ -1/3 (* (* x x) 2/15)))))
(* x (* x (+ -1/3 (* (* x x) 2/15))))
(* x (+ -1/3 (* (* x x) 2/15)))
(+ -1/3 (* (* x x) 2/15))
-1/3
(* (* x x) 2/15)
(* x x)
2/15

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

localize193.0ms (2.2%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64)))))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 2/15 binary64))
✓	accuracy	99.6%	(.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64))))
✓	accuracy	56.0%	(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))) #s(literal 1 binary64))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
✓	accuracy	99.9%	(.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64)))))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 2/15 binary64))
✓	accuracy	99.6%	(.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64))))
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal -2 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64))))
✓	accuracy	56.0%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	56.0%	(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))

Results

95.0ms	121×	1	valid
51.0ms	135×	0	valid

Compiler

Compiled 212 to 23 computations (89.2% saved)

Precisions

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

ival-mult: 15.0ms (26.2% of total)

...c/correct-round.rkt:119:19: 13.0ms (22.7% of total)

ival-add: 10.0ms (17.5% of total)

backward-pass: 9.0ms (15.7% of total)

ival-sub: 6.0ms (10.5% of total)

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

const: 1.0ms (1.7% of total)

series9.0ms (0.1%)

Counts

13 → 156

Calls

Call 1

Inputs
#<alt (- (+ x 1) 1)>
#<alt (+ x 1)>
#<alt (/ 2 (+ 2 (* x -2)))>
#<alt (- (/ 2 (+ 2 (* x -2))) 1)>
#<alt (+ 2 (* x -2))>
#<alt (* x -2)>
#<alt (* x (+ 1 (* x (* x (+ -1/3 (* (* x x) 2/15))))))>
#<alt (+ 1 (* x (* x (+ -1/3 (* (* x x) 2/15)))))>
#<alt (* x (* x (+ -1/3 (* (* x x) 2/15))))>
#<alt (* x (+ -1/3 (* (* x x) 2/15)))>
#<alt (- (+ 1 (* x (+ 1 (* x (* x (+ -1/3 (* (* x x) 2/15))))))) 1)>
#<alt (+ 1 (* x (+ 1 (* x (* x (+ -1/3 (* (* x x) 2/15)))))))>
#<alt (* (* x x) 2/15)>

Outputs
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<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)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 x)))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1 x)))))>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (/ 1 x)) x))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x))>
#<alt x>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 (* x (+ 1 x))))>
#<alt (* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 x)))>
#<alt (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)>
#<alt (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 x)))>
#<alt (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)>
#<alt (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)>
#<alt 2>
#<alt (+ 2 (* -2 x))>
#<alt (+ 2 (* -2 x))>
#<alt (+ 2 (* -2 x))>
#<alt (* -2 x)>
#<alt (* x (- (* 2 (/ 1 x)) 2))>
#<alt (* x (- (* 2 (/ 1 x)) 2))>
#<alt (* x (- (* 2 (/ 1 x)) 2))>
#<alt (* -2 x)>
#<alt (* -1 (* x (- 2 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 2 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 2 (* 2 (/ 1 x)))))>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* 2/15 (pow x 5))>
#<alt (* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))>
#<alt 1>
#<alt (+ 1 (* -1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))>
#<alt (* 2/15 (pow x 4))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 4))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1/3 (pow x 2))>
#<alt (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* 2/15 (pow x 4))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 4))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1/3 x)>
#<alt (* x (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* x (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* x (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* 2/15 (pow x 3))>
#<alt (* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<alt (* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<alt (* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* 2/15 (pow x 5))>
#<alt (* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))>
#<alt (+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))>
#<alt (* 2/15 (pow x 5))>
#<alt (* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 2/15 (+ (/ 1 (pow x 4)) (/ 1 (pow x 5)))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (+ (* -1 (/ (+ 1 (/ 1 x)) (pow x 4))) (* 1/3 (/ 1 (pow x 2)))) 2/15)))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>

Calls

39 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(* x (* x (+ -1/3 (* (* x x) 2/15))))
1.0ms	x	@	inf	(- (+ x 1) 1)
1.0ms	x	@	inf	(* x (+ 1 (* x (* x (+ -1/3 (* (* x x) 2/15))))))
0.0ms	x	@	inf	(- (+ 1 (* x (+ 1 (* x (* x (+ -1/3 (* (* x x) 2/15))))))) 1)
0.0ms	x	@	0	(* x (+ 1 (* x (* x (+ -1/3 (* (* x x) 2/15))))))

rewrite304.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2548×	`+-lowering-+.f64`
2548×	`+-lowering-+.f32`
1932×	`--lowering--.f32`
1932×	`--lowering--.f64`
1928×	`fma-define`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	21	103
1	66	87
2	195	85
3	950	85
4	3110	81
5	6876	80
0	8142	80

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 888

Calls

Call 1

Inputs
(- (+ x 1) 1)
(+ x 1)
(/ 2 (+ 2 (* x -2)))
(- (/ 2 (+ 2 (* x -2))) 1)
(+ 2 (* x -2))
(* x -2)
(* x (+ 1 (* x (* x (+ -1/3 (* (* x x) 2/15))))))
(+ 1 (* x (* x (+ -1/3 (* (* x x) 2/15)))))
(* x (* x (+ -1/3 (* (* x x) 2/15))))
(* x (+ -1/3 (* (* x x) 2/15)))
(- (+ 1 (* x (+ 1 (* x (* x (+ -1/3 (* (* x x) 2/15))))))) 1)
(+ 1 (* x (+ 1 (* x (* x (+ -1/3 (* (* x x) 2/15)))))))
(* (* x x) 2/15)

Outputs
x
(+.f64 x #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))
(+.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 2 binary64) (+.f64 x #s(literal -2 binary64)))
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 x #s(literal -2 binary64)) #s(literal 0 binary64)))
(+.f64 #s(literal -2 binary64) (+.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) x)
(+.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) (neg.f64 (+.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) x))))
(+.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 3 binary64) (+.f64 x #s(literal -3 binary64)))
(+.f64 (+.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))
(+.f64 (+.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))
(+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -3 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))) #s(literal -3 binary64))
(+.f64 (neg.f64 (+.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(exp.f64 (log.f64 x))
(-.f64 x #s(literal 0 binary64))
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal -2 binary64) (/.f64 (+.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x))
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)))
(-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -2 binary64)))
(-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64)))
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(-.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(-.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(-.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))
(-.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal -1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (+.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal -2 binary64))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64))
(-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(-.f64 (/.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (+.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal -2 binary64))
(neg.f64 (-.f64 #s(literal 0 binary64) x))
(/.f64 x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(*.f64 x #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -2 binary64) (/.f64 x #s(literal -2 binary64)))
(.f64 (.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))
(.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(+.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 2 binary64) (+.f64 x #s(literal -1 binary64)))
(+.f64 #s(literal -2 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) (+.f64 x #s(literal 2 binary64)))
(+.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 3 binary64) (+.f64 x #s(literal -2 binary64)))
(+.f64 #s(literal 3 binary64) (-.f64 (+.f64 x #s(literal -2 binary64)) #s(literal 0 binary64)))
(+.f64 (+.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(+.f64 (+.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))
(+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))) #s(literal -2 binary64))
(-.f64 x #s(literal -1 binary64))
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 0 binary64))
(-.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(-.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(-.f64 (+.f64 #s(literal 2 binary64) (+.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))
(-.f64 (+.f64 #s(literal 0 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(-.f64 (+.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))
(-.f64 (+.f64 #s(literal 3 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))
(fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 2 binary64))
(fma.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64))))
(/.f64 #s(literal -2 binary64) (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (+.f64 #s(literal 0 binary64) (log.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal -1/2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 (log.f64 #s(literal -2 binary64)) #s(literal 0 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (+.f64 (log.f64 #s(literal -2 binary64)) #s(literal 0 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) #s(literal 0 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) #s(literal 0 binary64))))
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -2 binary64))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1/2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64)))))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (+.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/2 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (+.f64 #s(literal 0 binary64) (log.f64 #s(literal -1/2 binary64)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64)))))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (+.f64 #s(literal 0 binary64) (log.f64 #s(literal -1 binary64)))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (+.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 0 binary64))) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64))))
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(pow.f64 (E.f64) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -2 binary64)))))
(.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (.f64 x #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -2 binary64)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 1/2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -2 binary64)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 0 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -2 binary64)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (.f64 x #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (.f64 x #s(literal 2 binary64)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1/2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (.f64 x #s(literal 2 binary64)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 (log.f64 #s(literal -1/2 binary64)) #s(literal 0 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -2 binary64)))))
(.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (.f64 x #s(literal 2 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (+.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) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
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(fma.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64)))) #s(literal 1 binary64))
(fma.f64 x (.f64 x #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x x))))))
(fma.f64 x (.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64))))) #s(literal 0 binary64))
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(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x x))))))
(fma.f64 #s(literal -1/3 binary64) (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x x))))))
(fma.f64 (.f64 x x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x x))))))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 2/15 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(fma.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(fma.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(fma.f64 (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64))) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64)))) x #s(literal 1 binary64))
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(fma.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64))))) #s(literal 1 binary64) #s(literal 0 binary64))
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(fma.f64 (.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x x))) x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/3 binary64)))))
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(fma.f64 (.f64 x #s(literal 2/15 binary64)) #s(literal 1 binary64) (.f64 #s(literal 2/15 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(fma.f64 (.f64 x #s(literal 2/15 binary64)) (+.f64 x #s(literal 1 binary64)) (.f64 x #s(literal -2/15 binary64)))
(fma.f64 (.f64 x #s(literal 2/15 binary64)) #s(literal 0 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(fma.f64 (.f64 x #s(literal 2/15 binary64)) #s(literal -1 binary64) (.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/15 binary64))))
(fma.f64 (.f64 x #s(literal 2/15 binary64)) (+.f64 x #s(literal -1 binary64)) (.f64 x #s(literal 2/15 binary64)))
(fma.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x #s(literal 2/15 binary64)) (.f64 x #s(literal 2/15 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2/15 binary64) (.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/15 binary64))))
(fma.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 2/15 binary64) (.f64 x #s(literal 2/15 binary64)))
(fma.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 2/15 binary64) (.f64 x #s(literal -2/15 binary64)))
(fma.f64 (.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/15 binary64)) x (.f64 x #s(literal -2/15 binary64)))
(fma.f64 #s(literal -2/15 binary64) x (.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/15 binary64))))
(fma.f64 (.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/15 binary64))) #s(literal 1 binary64) (*.f64 x #s(literal -2/15 binary64)))
(fma.f64 (.f64 x #s(literal -2/15 binary64)) #s(literal 1 binary64) (.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/15 binary64))))
(fma.f64 (.f64 #s(literal 2/15 binary64) (+.f64 x #s(literal -1 binary64))) x (.f64 x #s(literal 2/15 binary64)))
(fma.f64 (.f64 #s(literal 2/15 binary64) (.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64) (*.f64 x #s(literal 2/15 binary64)))
(.f64 x (.f64 x #s(literal 2/15 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(.f64 (.f64 x x) #s(literal 2/15 binary64))
(.f64 #s(literal 2/15 binary64) (.f64 x x))
(.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x #s(literal 2/15 binary64)) x)

simplify228.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

2246×	`-lowering-.f32`
2246×	`-lowering-.f64`
2110×	`fma-lowering-fma.f32`
2110×	`fma-lowering-fma.f64`
1822×	`fmm-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	96	1120
1	280	991
2	799	966
3	2556	951
4	6203	951
0	8218	951

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

Inputs
x
x
x
x
x
x
x
x
x
x
x
x
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)))
1
(+ 1 x)
(+ 1 (* x (+ 1 x)))
(+ 1 (* x (+ 1 (* x (+ 1 x)))))
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)
(/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) x)
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x))
x
(* x (+ 1 x))
(* x (+ 1 (* x (+ 1 x))))
(* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))
-1
(* -1 (+ 1 (/ 1 x)))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
-1
(* -1 (+ 1 (/ 1 x)))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)
2
(+ 2 (* -2 x))
(+ 2 (* -2 x))
(+ 2 (* -2 x))
(* -2 x)
(* x (- (* 2 (/ 1 x)) 2))
(* x (- (* 2 (/ 1 x)) 2))
(* x (- (* 2 (/ 1 x)) 2))
(* -2 x)
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* 2/15 (pow x 5))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
1
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* -1/3 (pow x 2))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* -1/3 x)
(* x (- (* 2/15 (pow x 2)) 1/3))
(* x (- (* 2/15 (pow x 2)) 1/3))
(* x (- (* 2/15 (pow x 2)) 1/3))
(* 2/15 (pow x 3))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* 2/15 (pow x 5))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(* 2/15 (pow x 5))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (+ (/ 1 (pow x 4)) (/ 1 (pow x 5)))) (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- (+ (* -1 (/ (+ 1 (/ 1 x)) (pow x 4))) (* 1/3 (/ 1 (pow x 2)))) 2/15)))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))

Outputs
x
x
x
x
x
x
x
x
x
x
x
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))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))
(+ 1 (* x (+ 1 (* x (+ 1 x)))))
(.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x x)))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)
(/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) x)
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x)))) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x))
(/.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 x)))) x)
x
(* x (+ 1 x))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(* x (+ 1 (* x (+ 1 x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64)))))
(* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))
(.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x))
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x))
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))
(+ 2 (* -2 x))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))
(+ 2 (* -2 x))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* x (- (* 2 (/ 1 x)) 2))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))
(* x (- (* 2 (/ 1 x)) 2))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))
(* x (- (* 2 (/ 1 x)) 2))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))))
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))))
1
#s(literal 1 binary64)
(+ 1 (* -1/3 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64)))))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64)))))
(* 2/15 (pow x 4))
(.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))
(* 2/15 (pow x 4))
(.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))
(* -1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64))))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64))))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64))))
(* 2/15 (pow x 4))
(.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* 2/15 (pow x 4))
(.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* x (- (* 2/15 (pow x 2)) 1/3))
(.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64))))
(* x (- (* 2/15 (pow x 2)) 1/3))
(.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64))))
(* x (- (* 2/15 (pow x 2)) 1/3))
(.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64))))
(* 2/15 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (.f64 x (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))))))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (.f64 x (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))))))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (.f64 x (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))))))
(* 2/15 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(.f64 x (.f64 x (.f64 x (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))))))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(.f64 x (.f64 x (.f64 x (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))))))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(.f64 x (.f64 x (.f64 x (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))))
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))))
(* (pow x 5) (- (+ 2/15 (+ (/ 1 (pow x 4)) (/ 1 (pow x 5)))) (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))))
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))))
(* -1 (* (pow x 5) (- (+ (* -1 (/ (+ 1 (/ 1 x)) (pow x 4))) (* 1/3 (/ 1 (pow x 2)))) 2/15)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 x (.f64 x (*.f64 x x))))))
(* 2/15 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/15 binary64))

eval256.0ms (2.9%)

Compiler: Compiled 28663 to 2975 computations (89.6% saved)

prune426.0ms (4.9%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	1473	6	1479
Fresh	3	1	4
Picked	2	3	5
Done	0	1	1
Total	1478	11	1489

Accuracy

100.0%

Counts

1489 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))
✓	56.0%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
✓	6.8%	(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
▶	4.8%	(-.f64 x #s(literal 1 binary64))
▶	6.8%	(+.f64 (+.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))
	6.1%	(+.f64 (+.f64 #s(literal -2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64))))))) #s(literal 2 binary64))
	48.6%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (-.f64 (.f64 x (*.f64 x #s(literal -17/315 binary64))) #s(literal -2/15 binary64)))))))
▶	48.4%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64))))
✓	50.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
✓	50.6%	x
▶	29.7%	#s(literal -1 binary64)

Compiler

Compiled 197 to 145 computations (26.4% saved)

simplify162.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal -1/3 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64))))
✓	cost-diff	0	(+.f64 x #s(literal -2 binary64))
✓	cost-diff	256	(+.f64 (+.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))
✓	cost-diff	0	(-.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 x #s(literal 2 binary64))
✓	cost-diff	128	(/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))

Rules

3228×	`-lowering-.f32`
3228×	`-lowering-.f64`
1786×	`/-lowering-/.f32`
1786×	`/-lowering-/.f64`
1560×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	72
1	44	44
2	81	42
3	634	42
4	4833	42
5	7570	42
0	8243	42

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize156.0ms (1.8%)

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64))))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal -1/3 binary64))
✓	accuracy	100.0%	(+.f64 x #s(literal -2 binary64))
✓	accuracy	56.0%	(+.f64 (+.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))
✓	accuracy	100.0%	(-.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))

Results

84.0ms	120×	1	valid
50.0ms	136×	0	valid

Compiler

Compiled 65 to 18 computations (72.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-mult: 30.0ms (44.5% of total)

...c/correct-round.rkt:119:19: 16.0ms (23.8% of total)

ival-div: 6.0ms (8.9% of total)

ival-add: 6.0ms (8.9% of total)

backward-pass: 6.0ms (8.9% of total)

ival-sub: 2.0ms (3% of total)

const: 1.0ms (1.5% of total)

series4.0ms (0%)

Counts

10 → 120

Calls

Call 1

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

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

Calls

30 calls:

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

rewrite272.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2692×	`+-lowering-+.f64`
2692×	`+-lowering-+.f32`
2032×	`-lowering-.f32`
2032×	`-lowering-.f64`
1688×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	44
1	58	31
2	195	30
3	1478	30
0	8380	30

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 1366

Calls

Call 1

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

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

simplify236.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1742×	`sum4-define`
1714×	`sum3-define`
1616×	`-lowering-.f32`
1616×	`-lowering-.f64`
1256×	`fnmadd-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	406
1	93	344
2	245	335
3	721	335
4	2593	335
5	6350	335
0	8486	335

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

Inputs
x
x
x
x
x
x
x
x
x
x
x
x
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
x
x
x
x
x
x
x
x
x
x
x
x
-2
(- x 2)
(- x 2)
(- x 2)
x
(* x (- 1 (* 2 (/ 1 x))))
(* x (- 1 (* 2 (/ 1 x))))
(* x (- 1 (* 2 (/ 1 x))))
x
(* -1 (* x (- (* 2 (/ 1 x)) 1)))
(* -1 (* x (- (* 2 (/ 1 x)) 1)))
(* -1 (* x (- (* 2 (/ 1 x)) 1)))
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 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* -1/3 (pow x 3))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (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 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* -1/3 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)

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

eval199.0ms (2.3%)

Compiler: Compiled 19519 to 3706 computations (81% saved)

prune207.0ms (2.4%)

Pruning

13 alts after pruning (7 fresh and 6 done)

	Pruned	Kept	Total
New	1481	5	1486
Fresh	0	2	2
Picked	2	3	5
Done	1	3	4
Total	1484	13	1497

Accuracy

100.0%

Counts

1497 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.0%	(/.f64 (-.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
▶	50.2%	(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))
✓	56.0%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
✓	4.8%	(-.f64 x #s(literal 1 binary64))
▶	48.3%	(+.f64 (+.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))))) #s(literal -2 binary64)) x)
▶	6.7%	(+.f64 (+.f64 x #s(literal 4 binary64)) #s(literal -4 binary64))
▶	6.7%	(+.f64 (+.f64 x #s(literal -4 binary64)) #s(literal 4 binary64))
	6.1%	(+.f64 (+.f64 #s(literal -2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64))))))) #s(literal 2 binary64))
	48.6%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (-.f64 (.f64 x (*.f64 x #s(literal -17/315 binary64))) #s(literal -2/15 binary64)))))))
✓	48.4%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64))))
✓	50.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
✓	50.6%	x
✓	29.7%	#s(literal -1 binary64)

Compiler

Compiled 237 to 175 computations (26.2% saved)

simplify178.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64)))))
✓	cost-diff	0	(+.f64 (+.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))))) #s(literal -2 binary64)) x)
✓	cost-diff	256	(+.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))))) #s(literal -2 binary64))
✓	cost-diff	0	(*.f64 x #s(literal -1/3 binary64))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal -1/3 binary64)))
✓	cost-diff	0	(-.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) #s(literal -1 binary64))
✓	cost-diff	128	(/.f64 (-.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(+.f64 x #s(literal 4 binary64))
✓	cost-diff	256	(+.f64 (+.f64 x #s(literal 4 binary64)) #s(literal -4 binary64))
✓	cost-diff	0	(+.f64 x #s(literal -4 binary64))
✓	cost-diff	256	(+.f64 (+.f64 x #s(literal -4 binary64)) #s(literal 4 binary64))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) x)
✓	cost-diff	256	(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))

Rules

2096×	`+-lowering-+.f64`
2096×	`+-lowering-+.f32`
1976×	`sum3-define`
1824×	`-lowering-.f32`
1824×	`-lowering-.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	115
1	61	86
2	128	77
3	794	77
4	5534	77
0	8133	77

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ 2 (/ 2 x))
2
(/ 2 x)
x
(+ (+ x -4) 4)
(+ x -4)
x
-4
4
(+ (+ x 4) -4)
(+ x 4)
x
4
-4
(/ (- (* x (* x -1/3)) -1) (/ 1 x))
(- (* x (* x -1/3)) -1)
(* x (* x -1/3))
x
(* x -1/3)
-1/3
-1
(/ 1 x)
1
(+ (+ (+ 2 (* x (* x (* x -1/3)))) -2) x)
(+ (+ 2 (* x (* x (* x -1/3)))) -2)
(+ 2 (* x (* x (* x -1/3))))
2
(* x (* x (* x -1/3)))
x
(* x (* x -1/3))
(* x -1/3)
-1/3
-2

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

localize187.0ms (2.1%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	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	99.4%	(*.f64 x #s(literal -1/3 binary64))
✓	accuracy	83.7%	(+.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))))) #s(literal -2 binary64))
✓	accuracy	100.0%	(-.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) #s(literal -1 binary64))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal -1/3 binary64)))
✓	accuracy	99.5%	(/.f64 (-.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.4%	(*.f64 x #s(literal -1/3 binary64))
✓	accuracy	100.0%	(+.f64 x #s(literal 4 binary64))
✓	accuracy	55.9%	(+.f64 (+.f64 x #s(literal 4 binary64)) #s(literal -4 binary64))
✓	accuracy	100.0%	(+.f64 x #s(literal -4 binary64))
✓	accuracy	56.0%	(+.f64 (+.f64 x #s(literal -4 binary64)) #s(literal 4 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) x)
✓	accuracy	99.4%	(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))

Results

87.0ms	122×	1	valid
46.0ms	134×	0	valid

Compiler

Compiled 120 to 25 computations (79.2% saved)

Precisions

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

ival-add: 18.0ms (31.2% of total)

ival-div: 12.0ms (20.8% of total)

backward-pass: 9.0ms (15.6% of total)

...c/correct-round.rkt:119:19: 8.0ms (13.9% of total)

ival-mult: 8.0ms (13.9% of total)

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

const: 1.0ms (1.7% of total)

series4.0ms (0%)

Counts

14 → 168

Calls

Call 1

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

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

Calls

42 calls:

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

rewrite459.0ms (5.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3184×	`/-lowering-/.f32`
3184×	`/-lowering-/.f64`
3082×	`-lowering-.f32`
3082×	`-lowering-.f64`
2016×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	79
1	86	61
2	316	52
3	2480	52
0	8138	52

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 2503

Calls

Call 1

Inputs
(/ 2 (/ 2 x))
(/ 2 x)
(+ (+ x -4) 4)
(+ x -4)
(+ (+ x 4) -4)
(+ x 4)
(/ (- (* x (* x -1/3)) -1) (/ 1 x))
(- (* x (* x -1/3)) -1)
(* x (* x -1/3))
(* x -1/3)
(+ (+ 2 (* x (* x (* x -1/3)))) -2)
(+ (+ (+ 2 (* x (* x (* x -1/3)))) -2) x)
(+ 2 (* x (* x (* x -1/3))))
(* x (* x (* x -1/3)))

Outputs
x
(+.f64 #s(literal 2 binary64) (+.f64 x #s(literal -2 binary64)))
(+.f64 x #s(literal 0 binary64))
(+.f64 #s(literal -4 binary64) (+.f64 x #s(literal 4 binary64)))
(+.f64 #s(literal -4 binary64) (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 4 binary64))))
(+.f64 #s(literal -4 binary64) (*.f64 (+.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
(+.f64 (+.f64 x #s(literal -4 binary64)) #s(literal 4 binary64))
(+.f64 #s(literal 4 binary64) (+.f64 x #s(literal -4 binary64)))
(+.f64 #s(literal 4 binary64) (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4 binary64))))
(+.f64 #s(literal 4 binary64) (*.f64 (+.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)))
(+.f64 (+.f64 x #s(literal 4 binary64)) #s(literal -4 binary64))
(+.f64 #s(literal 0 binary64) x)
(+.f64 (+.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))
(+.f64 (+.f64 #s(literal 2 binary64) x) #s(literal -2 binary64))
(+.f64 (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 4 binary64))) #s(literal -4 binary64))
(+.f64 (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4 binary64))) #s(literal 4 binary64))
(+.f64 (*.f64 (+.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -4 binary64))
(+.f64 (*.f64 (+.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64))
(exp.f64 (log.f64 x))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 x))))
(-.f64 x #s(literal 0 binary64))
(-.f64 #s(literal -4 binary64) (/.f64 (+.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 4 binary64) (/.f64 (+.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal -4 binary64))) #s(literal -1 binary64)) #s(literal -4 binary64))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 4 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 0 binary64))
(fma.f64 #s(literal -2 binary64) (/.f64 x #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(neg.f64 (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 x #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))
(/.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 (/.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -2 binary64))
(/.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) x))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))
(/.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (exp.f64 (log.f64 #s(literal -1 binary64))))
(/.f64 (exp.f64 (log.f64 #s(literal -2 binary64))) (exp.f64 (log.f64 (/.f64 #s(literal -2 binary64) x))))
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 x))
(*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal -2 binary64) (/.f64 x #s(literal -2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))
(*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 x #s(literal 2 binary64)) (exp.f64 (log.f64 #s(literal 2 binary64))))
(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) x))
(.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)))
(.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))
(.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (/.f64 x #s(literal 2 binary64)))
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))))
(*.f64 (exp.f64 (log.f64 #s(literal -2 binary64))) (exp.f64 (log.f64 (/.f64 x #s(literal -2 binary64)))))
(exp.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) x))
(neg.f64 (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
(/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 x #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64))
(/.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) #s(literal -2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) #s(literal -2 binary64))
(/.f64 (/.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(.f64 #s(literal -4 binary64) (/.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) x)))
(*.f64 #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)) #s(literal -1/2 binary64))
x
(+.f64 #s(literal 2 binary64) (+.f64 x #s(literal -2 binary64)))
(+.f64 x #s(literal 0 binary64))
(+.f64 #s(literal -4 binary64) (+.f64 x #s(literal 4 binary64)))
(+.f64 #s(literal -4 binary64) (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 4 binary64))))
(+.f64 #s(literal -4 binary64) (*.f64 (+.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
(+.f64 (+.f64 x #s(literal -4 binary64)) #s(literal 4 binary64))
(+.f64 #s(literal 4 binary64) (+.f64 x #s(literal -4 binary64)))
(+.f64 #s(literal 4 binary64) (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4 binary64))))
(+.f64 #s(literal 4 binary64) (*.f64 (+.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)))
(+.f64 (+.f64 x #s(literal 4 binary64)) #s(literal -4 binary64))
(+.f64 #s(literal 0 binary64) x)
(+.f64 (+.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))
(+.f64 (+.f64 #s(literal 2 binary64) x) #s(literal -2 binary64))
(+.f64 (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 4 binary64))) #s(literal -4 binary64))
(+.f64 (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4 binary64))) #s(literal 4 binary64))
(+.f64 (*.f64 (+.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -4 binary64))
(+.f64 (*.f64 (+.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64))
(exp.f64 (log.f64 x))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 x))))
(-.f64 x #s(literal 0 binary64))
(-.f64 #s(literal -4 binary64) (/.f64 (+.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 4 binary64) (/.f64 (+.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal -4 binary64))) #s(literal -1 binary64)) #s(literal -4 binary64))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 4 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 0 binary64))
(fma.f64 #s(literal -2 binary64) (/.f64 x #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(neg.f64 (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 x #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))
(/.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 (/.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -2 binary64))
(/.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) x))
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(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x #s(literal -1/3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x #s(literal -1/3 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 2 binary64) (.f64 (/.f64 x #s(literal 2 binary64)) (.f64 x (.f64 x #s(literal -1/3 binary64)))))
(.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(.f64 #s(literal -1/3 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x x)) #s(literal -1 binary64)))
(.f64 (.f64 x #s(literal -1/3 binary64)) (*.f64 x x))
(.f64 (.f64 x (*.f64 x #s(literal -1/3 binary64))) x)
(.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x (.f64 x #s(literal -1/3 binary64)))))
(.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (*.f64 x x) #s(literal 1/3 binary64))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64)))))
(.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal -2 binary64) (.f64 (/.f64 x #s(literal -2 binary64)) (.f64 x (.f64 x #s(literal -1/3 binary64)))))
(.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (.f64 x #s(literal -1/3 binary64)) (/.f64 #s(literal -1 binary64) x)))
(.f64 (-.f64 #s(literal 0 binary64) x) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x #s(literal -1/3 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 (.f64 x #s(literal -1/3 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))))
(.f64 (/.f64 x #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal -1/3 binary64)))))
(.f64 (/.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) (.f64 x #s(literal -1/3 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal -1/3 binary64)))) #s(literal -1 binary64)))
(.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64)))
(.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) (.f64 x (*.f64 x #s(literal -1/3 binary64)))) #s(literal -1 binary64)))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/3 binary64))
(.f64 (.f64 (*.f64 x x) #s(literal 1/3 binary64)) (-.f64 #s(literal 0 binary64) x))
(.f64 (.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))
(.f64 (.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) #s(literal -2 binary64)) (/.f64 x #s(literal -2 binary64)))
(.f64 #s(literal 1/3 binary64) (/.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) x)))
(.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x)) #s(literal -1 binary64)))
(.f64 (/.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 (.f64 x #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))
(.f64 #s(literal -1/6 binary64) (/.f64 (.f64 x x) (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))))
(.f64 #s(literal -1/6 binary64) (pow.f64 (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) (.f64 x x)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 2 binary64) x)) (/.f64 (.f64 x x) #s(literal 1/2 binary64)))
(.f64 (/.f64 (.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) (/.f64 x (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 x #s(literal -1/3 binary64)) (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal 1/2 binary64)))
(.f64 (/.f64 (.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)) (/.f64 x (/.f64 #s(literal -1 binary64) x)))
(.f64 (/.f64 (.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 2 binary64) x)) #s(literal -2/3 binary64))
(.f64 (/.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) x)))
(.f64 (.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) #s(literal -1 binary64)) x)
(.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x))
(.f64 (/.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x))
(.f64 (/.f64 (.f64 x (*.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(.f64 (/.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) x))
(.f64 (/.f64 (.f64 x (*.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal -2 binary64) x)) #s(literal -2 binary64))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (.f64 x #s(literal -1/3 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) x) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) #s(literal -1/3 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/3 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (.f64 x #s(literal -1/3 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (.f64 x x)) #s(literal -1 binary64)) #s(literal -2/3 binary64))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/3 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x x)) #s(literal -1 binary64)) #s(literal -1/3 binary64))

simplify155.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

2014×	`-lowering-.f32`
2014×	`-lowering-.f64`
1506×	`fnmadd-define`
1476×	`/-lowering-/.f32`
1476×	`/-lowering-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	680
1	117	603
2	313	585
3	1068	585
4	4464	585
0	8390	585

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

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

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

eval446.0ms (5.1%)

Compiler: Compiled 51325 to 4670 computations (90.9% saved)

prune238.0ms (2.7%)

Pruning

15 alts after pruning (5 fresh and 10 done)

	Pruned	Kept	Total
New	2828	3	2831
Fresh	0	2	2
Picked	0	5	5
Done	1	5	6
Total	2829	15	2844

Accuracy

100.0%

Counts

2844 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	30.7%	(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x) #s(literal -1 binary64))
✓	48.0%	(/.f64 (-.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
✓	50.2%	(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))
✓	56.0%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
✓	48.3%	(+.f64 (+.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))))) #s(literal -2 binary64)) x)
✓	6.7%	(+.f64 (+.f64 x #s(literal 4 binary64)) #s(literal -4 binary64))
✓	6.7%	(+.f64 (+.f64 x #s(literal -4 binary64)) #s(literal 4 binary64))
	6.1%	(+.f64 (+.f64 #s(literal -2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64))))))) #s(literal 2 binary64))
	4.8%	(+.f64 x #s(literal -4 binary64))
	31.6%	(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) x))
	48.6%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (-.f64 (.f64 x (*.f64 x #s(literal -17/315 binary64))) #s(literal -2/15 binary64)))))))
✓	48.4%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64))))
✓	50.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
✓	50.6%	x
✓	29.7%	#s(literal -1 binary64)

Compiler

Compiled 387 to 211 computations (45.5% saved)

regimes57.0ms (0.7%)

Counts

24 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
x
(+.f64 x #s(literal -4 binary64))
(-.f64 x #s(literal 1 binary64))
(+.f64 (+.f64 x #s(literal -4 binary64)) #s(literal 4 binary64))
(+.f64 (+.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))
(+.f64 (+.f64 x #s(literal 4 binary64)) #s(literal -4 binary64))
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))
(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+.f64 (+.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))))) #s(literal -2 binary64)) x)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (.f64 x #s(literal 2 binary64)))))) #s(literal 1 binary64))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4/3 binary64)))))))) #s(literal 1 binary64))
(+.f64 (+.f64 #s(literal -2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64))))))) #s(literal 2 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))) #s(literal 1 binary64))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (-.f64 (.f64 x (*.f64 x #s(literal -17/315 binary64))) #s(literal -2/15 binary64)))))))
(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x) #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))

Outputs

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

(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x #s(literal -17/315 binary64))) #s(literal -2/15 binary64)))))))

#s(literal -1 binary64)

Calls

7 calls:

12.0ms	(*.f64 #s(literal -2 binary64) x)
9.0ms	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
8.0ms	y
7.0ms	x
6.0ms	(exp.f64 (*.f64 #s(literal -2 binary64) x))

Results

Accuracy	Segments	Branch
100.0%	3	`x`
65.0%	4	`y`
100.0%	3	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
100.0%	3	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
100.0%	3	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
100.0%	3	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
100.0%	3	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 47 to 39 computations (17% saved)

regimes8.0ms (0.1%)

Counts

23 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
x
(+.f64 x #s(literal -4 binary64))
(-.f64 x #s(literal 1 binary64))
(+.f64 (+.f64 x #s(literal -4 binary64)) #s(literal 4 binary64))
(+.f64 (+.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))
(+.f64 (+.f64 x #s(literal 4 binary64)) #s(literal -4 binary64))
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))
(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+.f64 (+.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))))) #s(literal -2 binary64)) x)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (.f64 x #s(literal 2 binary64)))))) #s(literal 1 binary64))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4/3 binary64)))))))) #s(literal 1 binary64))
(+.f64 (+.f64 #s(literal -2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64))))))) #s(literal 2 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))) #s(literal 1 binary64))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (-.f64 (.f64 x (*.f64 x #s(literal -17/315 binary64))) #s(literal -2/15 binary64)))))))
(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x) #s(literal -1 binary64))

Outputs
#s(literal -1 binary64)
x

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
76.5%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)

Outputs
#s(literal -1 binary64)

Calls

2 calls:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
29.7%	1	`y`
29.7%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.023906751980553014	1141.6265376642798
0.0ms	-0.6947801950395655	-1.899876813814533e-7

Compiler

Compiled 17 to 14 computations (17.6% saved)

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	-570.8132688321399	-0.011953375990276507

Results

9.0ms

128×

valid

Compiler

Compiled 81 to 70 computations (13.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 1.0ms (20.3% of total)

ival-sub: 1.0ms (20.3% of total)

ival-exp: 1.0ms (20.3% of total)

ival-add: 1.0ms (20.3% of total)

ival-mult: 1.0ms (20.3% of total)

const: 0.0ms (0% of total)

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
14×	`+-commutative_binary64`
8×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	51
1	46	51
2	52	51
3	59	51
4	60	51

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -1/2 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 5764607523034235/144115188075855872 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x #s(literal -17/315 binary64))) #s(literal -2/15 binary64))))))) #s(literal -1 binary64)))

(if (<=.f64 x #s(literal -1 binary64)) #s(literal -1 binary64) x)

#s(literal -1 binary64)

Outputs
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -1/2 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 5764607523034235/144115188075855872 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (-.f64 (.f64 x (.f64 x #s(literal -17/315 binary64))) #s(literal -2/15 binary64))))))) #s(literal -1 binary64)))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -1/2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 5764607523034235/144115188075855872 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (-.f64 (.f64 x (.f64 x #s(literal -17/315 binary64))) #s(literal -2/15 binary64))))))) #s(literal -1 binary64)))
(if (<=.f64 x #s(literal -1 binary64)) #s(literal -1 binary64) x)
#s(literal -1 binary64)

soundness649.0ms (7.4%)

Rules

2246×	`-lowering-.f32`
2246×	`-lowering-.f64`
2240×	`sum3-define`
2110×	`fma-lowering-fma.f32`
2110×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	96	1120
1	280	991
2	799	966
3	2556	951
4	6203	951
0	8218	951
0	49	351
1	130	326
2	309	323
3	826	323
4	1921	323
5	2795	323
6	3261	323
7	4012	323
8	6748	323
0	8128	323

Stop Event

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

Compiler

Compiled 100 to 71 computations (29% saved)

preprocess30.0ms (0.3%)

Remove: (abs y)
Compiler: Compiled 222 to 140 computations (36.9% saved)

analyze0.0ms (0%)

sample2.3s (26.8%)

preprocess40.0ms (0.5%)

explain190.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify16.0ms (0.2%)

localize86.0ms (1%)

series4.0ms (0%)

rewrite145.0ms (1.7%)

simplify193.0ms (2.2%)

eval20.0ms (0.2%)

prune26.0ms (0.3%)

simplify595.0ms (6.8%)

localize193.0ms (2.2%)

series9.0ms (0.1%)

rewrite304.0ms (3.5%)

simplify228.0ms (2.6%)

eval256.0ms (2.9%)

prune426.0ms (4.9%)

simplify162.0ms (1.9%)

localize156.0ms (1.8%)

series4.0ms (0%)

rewrite272.0ms (3.1%)

simplify236.0ms (2.7%)

eval199.0ms (2.3%)

prune207.0ms (2.4%)

simplify178.0ms (2%)

localize187.0ms (2.1%)

series4.0ms (0%)

rewrite459.0ms (5.2%)

simplify155.0ms (1.8%)

eval446.0ms (5.1%)

prune238.0ms (2.7%)

regimes57.0ms (0.7%)

regimes8.0ms (0.1%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch20.0ms (0.2%)

simplify10.0ms (0.1%)

soundness649.0ms (7.4%)

preprocess30.0ms (0.3%)

end0.0ms (0%)

Profiling