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)

sample1.5s (15.7%)

Results

850.0ms	4026×	1	valid
344.0ms	4230×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 845.0ms

ival-exp: 316.0ms (37.4% of total)

ival-add: 148.0ms (17.5% of total)

ival-mult: 123.0ms (14.6% of total)

ival-div: 115.0ms (13.6% of total)

ival-sub: 63.0ms (7.5% of total)

backward-pass: 57.0ms (6.7% of total)

const: 25.0ms (3% of total)

Bogosity

preprocess45.0ms (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)

explain159.0ms (1.7%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
116	0	-	-	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
0	0	-	-	`x`
0	0	-	-	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
0	0	-	-	`#s(literal -2 binary64)`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
0	0	-	-	`(*.f64 #s(literal -2 binary64) x)`
0	0	-	-	`#s(literal 1 binary64)`
0	1	(-64.1603738376385 1.048983364667479e+45)	-	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`

Results

57.0ms	232×	1	valid
29.0ms	280×	0	valid

Compiler

Compiled 88 to 32 computations (63.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-exp: 19.0ms (38.7% of total)

backward-pass: 7.0ms (14.3% of total)

ival-div: 6.0ms (12.2% of total)

ival-mult: 6.0ms (12.2% of total)

ival-sub: 5.0ms (10.2% of total)

ival-add: 4.0ms (8.2% of total)

const: 2.0ms (4.1% 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
▶	57.3%	(-.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)

simplify4.0ms (0%)

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

localize78.0ms (0.8%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 #s(literal -2 binary64) x)
✓	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	57.3%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))

Results

37.0ms	140×	0	valid
29.0ms	116×	1	valid

Compiler

Compiled 38 to 11 computations (71.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-exp: 9.0ms (32.6% of total)

ival-mult: 7.0ms (25.3% of total)

ival-div: 3.0ms (10.9% of total)

ival-sub: 3.0ms (10.9% of total)

ival-add: 2.0ms (7.2% of total)

backward-pass: 2.0ms (7.2% of total)

const: 1.0ms (3.6% of total)

series6.0ms (0.1%)

Counts

5 → 60

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))>
#<alt (* -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))>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>

Calls

15 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 x)
1.0ms	x	@	0	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
0.0ms	x	@	-inf	(/ 2 (+ 1 (exp (* -2 x))))

rewrite277.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3016×	`-lowering-.f32`
3016×	`-lowering-.f64`
2840×	`/-lowering-/.f32`
2840×	`/-lowering-/.f64`
1586×	`frac-times`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	31
1	48	31
2	387	31
3	6241	31
0	8361	31

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 214

Calls

Call 1

Inputs
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
(/ 2 (+ 1 (exp (* -2 x))))
(+ 1 (exp (* -2 x)))
(exp (* -2 x))
(* -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 -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 -8 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (/.f64 #s(literal 4 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (/.f64 #s(literal 4 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))))))))
(+.f64 (/.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (-.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)))))) (neg.f64 (/.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 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 -8 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (/.f64 #s(literal 4 binary64) (pow.f64 (-.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 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (/.f64 #s(literal 4 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))))))
(-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (-.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 #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)))))))
(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 -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 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -6 binary64))))) (-.f64 (exp.f64 (.f64 x #s(literal -4 binary64))) (expm1.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 x #s(literal -4 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64))
(expm1.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal -8 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (/.f64 #s(literal 4 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))))))))
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal -8 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64))) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (/.f64 #s(literal 4 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #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 #s(literal 1 binary64) (/.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 (/.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 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 (/.f64 #s(literal -8 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (/.f64 #s(literal 4 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))))))
(/.f64 (+.f64 (/.f64 #s(literal -8 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (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 #s(literal -1 binary64) (neg.f64 (/.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 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #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 0 binary64) (+.f64 (/.f64 #s(literal -8 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64))) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (/.f64 #s(literal 4 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))))))
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(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -6 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 x #s(literal -4 binary64))) (expm1.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 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -4 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 x #s(literal -4 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (.f64 x #s(literal -6 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 (.f64 x #s(literal -4 binary64))) (expm1.f64 (.f64 #s(literal -2 binary64) x))))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 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)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 x #s(literal -4 binary64))) (expm1.f64 (.f64 #s(literal -2 binary64) x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -6 binary64)))))
(.f64 (expm1.f64 (.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -2 binary64) x))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -4 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -4 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -6 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 (.f64 x #s(literal -4 binary64))) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (exp.f64 (.f64 x #s(literal -4 binary64))) (exp.f64 (.f64 #s(literal -2 binary64) x))) (-.f64 (-.f64 (exp.f64 (.f64 x #s(literal -4 binary64))) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 (.f64 x #s(literal -4 binary64))) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -4 binary64)))) (exp.f64 (.f64 #s(literal -2 binary64) x))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -4 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -6 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) (exp.f64 (*.f64 x #s(literal -4 binary64))))))
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal -2 binary64)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) x)
(pow.f64 (exp.f64 #s(literal -2 binary64)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal -4 binary64)) (/.f64 x #s(literal 2 binary64)))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(pow.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64)))) #s(literal 2 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 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64)))))
(.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64)))) (.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64))))) (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64)))))
(log.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)))
(+.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x))
(+.f64 (log.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64))))) (log.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64))))) (log.f64 (.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64))) (log.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64))))
(+.f64 (log.f64 (.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64)))))) (log.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal -2 binary64) (log.f64 (exp.f64 x)))
(*.f64 x #s(literal -2 binary64))

simplify246.0ms (2.6%)

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	387
1	130	362
2	309	359
3	828	359
4	1912	359
5	2759	359
6	3227	359
7	3978	359
8	6714	359
0	8094	359

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

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))
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)

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

eval33.0ms (0.3%)

Compiler: Compiled 6433 to 839 computations (87% saved)

prune52.0ms (0.5%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	262	12	274
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	262	13	275

Accuracy

100.0%

Counts

275 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.3%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (-.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))))))
▶	57.3%	(-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (-.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 #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)))))))
	26.1%	(-.f64 (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))) #s(literal 1 binary64))
▶	32.0%	(-.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))
▶	31.9%	(-.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))
	31.8%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64))
✓	57.3%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
	5.8%	(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
	5.0%	(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64))))))) #s(literal 1 binary64))
	46.2%	(.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)))))))
	47.6%	(.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))))))
▶	46.1%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (*.f64 x x))))
▶	48.4%	x

Compiler

Compiled 430 to 288 computations (33% saved)

simplify172.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Program
✓	cost-diff	(.f64 x (+.f64 #s(literal -2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4/3 binary64))))))
✓	cost-diff	(+.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)))))))
✓	cost-diff	(/.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))))))))
✓	cost-diff	(-.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))
✓	cost-diff	(.f64 x (+.f64 #s(literal -2 binary64) (.f64 x #s(literal 2 binary64))))
✓	cost-diff	(+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (.f64 x #s(literal 2 binary64)))))
✓	cost-diff	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (.f64 x #s(literal 2 binary64))))))
✓	cost-diff	(-.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))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 #s(literal -1/3 binary64) (.f64 x x))
✓	cost-diff	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (.f64 x x)))
✓	cost-diff	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (*.f64 x x))))
✓	cost-diff	(pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))
✓	cost-diff	(/.f64 #s(literal 4 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))
✓	cost-diff	(/.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (-.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))))))
✓	cost-diff	(-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (-.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 #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)))))))

Rules

1814×	`fnmadd-define`
1582×	`--lowering--.f32`
1582×	`--lowering--.f64`
1442×	`-lowering-.f32`
1442×	`-lowering-.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	287
1	92	258
2	208	257
3	473	257
4	1039	257
5	4282	257
0	8228	257

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize310.0ms (3.2%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -4/3 binary64))))
✓	accuracy	99.5%	(*.f64 x #s(literal -4/3 binary64))
✓	accuracy	99.5%	(/.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))))))))
✓	accuracy	57.4%	(-.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))
✓	accuracy	100.0%	(.f64 x (+.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 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (.f64 x #s(literal 2 binary64))))))
✓	accuracy	57.4%	(-.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))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (.f64 x x)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (*.f64 x x))))
✓	accuracy	99.7%	(.f64 #s(literal -1/3 binary64) (.f64 x x))
✓	accuracy	100.0%	(/.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (-.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))))))
✓	accuracy	100.0%	(/.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))))))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
✓	accuracy	57.3%	(-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (-.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 #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)))))))

Results

91.0ms	140×	0	valid
81.0ms	63×	1	valid
76.0ms	53×	2	valid

Compiler

Compiled 296 to 39 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 121.0ms

ival-mult: 27.0ms (22.3% of total)

ival-add: 20.0ms (16.5% of total)

ival-div: 17.0ms (14% of total)

backward-pass: 15.0ms (12.4% of total)

...c/correct-round.rkt:119:19: 13.0ms (10.7% of total)

ival-exp: 11.0ms (9.1% of total)

ival-sub: 9.0ms (7.4% of total)

ival-pow: 7.0ms (5.8% of total)

const: 1.0ms (0.8% of total)

series33.0ms (0.3%)

Counts

21 → 252

Calls

Call 1

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

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 (- (* 4 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))>
#<alt (- (* 4 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))>
#<alt (- (* 4 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))>
#<alt (- (* 4 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))>
#<alt (- (* 4 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))>
#<alt (- (* 4 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))>
#<alt (- (* 4 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))>
#<alt (- (* 4 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 3/4 x))>
#<alt (+ 1/2 (* x (+ 3/4 (* 1/8 x))))>
#<alt (+ 1/2 (* x (+ 3/4 (* x (+ 1/8 (* -5/16 x))))))>
#<alt (/ 4 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))>
#<alt (/ 4 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))>
#<alt (/ 4 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))>
#<alt (/ 4 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))>
#<alt (/ 4 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))>
#<alt (/ 4 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))>
#<alt (/ 4 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))>
#<alt (/ 4 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))>
#<alt 1>
#<alt (+ 1 (* 2 x))>
#<alt (+ 1 (* x (+ 2 x)))>
#<alt (+ 1 (* x (+ 2 (* x (+ 1 (* -2/3 x))))))>
#<alt (/ 4 (pow (+ 1 (exp (* -2 x))) 2))>
#<alt (/ 4 (pow (+ 1 (exp (* -2 x))) 2))>
#<alt (/ 4 (pow (+ 1 (exp (* -2 x))) 2))>
#<alt (/ 4 (pow (+ 1 (exp (* -2 x))) 2))>
#<alt (/ 4 (pow (+ 1 (exp (* -2 x))) 2))>
#<alt (/ 4 (pow (+ 1 (exp (* -2 x))) 2))>
#<alt (/ 4 (pow (+ 1 (exp (* -2 x))) 2))>
#<alt (/ 4 (pow (+ 1 (exp (* -2 x))) 2))>
#<alt 4>
#<alt (+ 4 (* -8 x))>
#<alt (+ 4 (* x (- (* 12 x) 8)))>
#<alt (+ 4 (* x (- (* x (+ 12 (* -40/3 x))) 8)))>
#<alt (pow (+ 1 (exp (* -2 x))) 2)>
#<alt (pow (+ 1 (exp (* -2 x))) 2)>
#<alt (pow (+ 1 (exp (* -2 x))) 2)>
#<alt (pow (+ 1 (exp (* -2 x))) 2)>
#<alt (pow (+ 1 (exp (* -2 x))) 2)>
#<alt (pow (+ 1 (exp (* -2 x))) 2)>
#<alt (pow (+ 1 (exp (* -2 x))) 2)>
#<alt (pow (+ 1 (exp (* -2 x))) 2)>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* -1/3 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (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)>
#<alt x>
#<alt (* x (+ 1 (* -1 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* -1 x) 1))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* x (- (pow x 2) 1)) 1))))>
#<alt -1>
#<alt (- (/ 1 (pow x 2)) 1)>
#<alt (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1)>
#<alt (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 5))))>
#<alt -1>
#<alt (- (/ 1 (pow x 2)) 1)>
#<alt (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1)>
#<alt (- (+ (* -1 (/ (- (/ 1 (pow x 2)) 1) (pow x 3))) (/ 1 (pow x 2))) 1)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* -1 (pow x 2)))))>
#<alt (+ 1 (* x (+ 1 (* (pow x 2) (- (* -1 x) 1)))))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (/ 1 x)) (pow x 2))>
#<alt (/ (- (+ 1 (/ 1 x)) (/ 1 (pow x 3))) (pow x 2))>
#<alt (/ (+ 1 (+ (* -1 (/ (+ 1 (/ 1 x)) (pow x 3))) (/ 1 x))) (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (/ 1 x)) (pow x 2))>
#<alt (/ (+ 1 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1) x))) (pow x 2))>
#<alt 2>
#<alt (+ 2 (* -2 x))>
#<alt (+ 2 (* x (- (* 2 x) 2)))>
#<alt (+ 2 (* x (- (* 2 x) 2)))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))>
#<alt (* -2 x)>
#<alt (* x (- (* 2 x) 2))>
#<alt (* x (- (* 2 x) 2))>
#<alt (* x (- (* 2 x) 2))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (- 2 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (- 2 (* 2 (/ 1 x))))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (- 2 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (- 2 (* 2 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/3 x) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* x (+ 1/3 (* 2/3 x))) 1/3))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 3/2 (/ 1 (pow x 3)))))>
#<alt (- (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) 1)>
#<alt (- (* -1 (/ (+ 9/4 (* 9/8 (/ 1 x))) (pow x 4))) (+ 1 (* 3/2 (/ 1 (pow x 3)))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 3/2 (/ 1 (pow x 3)))))>
#<alt (- (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) 1)>
#<alt (- (* -1 (/ (+ 3/2 (+ (* 9/4 (/ 1 x)) (/ 9/8 (pow x 2)))) (pow x 3))) 1)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))>
#<alt (+ 1 (* x (+ 1 (* (pow x 2) (- (* 1/3 x) 1/3)))))>
#<alt (/ -3/2 (pow x 3))>
#<alt (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3)))>
#<alt (/ (- (* -1 (/ (+ 9/4 (* 9/8 (/ 1 x))) x)) 3/2) (pow x 3))>
#<alt (/ (- (* -1 (/ (+ 9/8 (* 9/16 (/ 1 x))) (pow x 2))) (+ 3/2 (* 9/4 (/ 1 x)))) (pow x 3))>
#<alt (/ -3/2 (pow x 3))>
#<alt (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3)))>
#<alt (* -1 (/ (+ 3/2 (+ (* 9/4 (/ 1 x)) (/ 9/8 (pow x 2)))) (pow x 3)))>
#<alt (* -1 (/ (+ 3/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 9/16 (/ 1 x))) x)) 9/4) x))) (pow x 3)))>
#<alt 2>
#<alt (+ 2 (* -2 x))>
#<alt (+ 2 (* x (- (* 2 x) 2)))>
#<alt (+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))>
#<alt (* -4/3 (pow x 3))>
#<alt (* (pow x 3) (- (* 2 (/ 1 x)) 4/3))>
#<alt (* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2)))))>
#<alt (* -4/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))))>
#<alt (* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))))>
#<alt (* -2 x)>
#<alt (* x (- (* 2 x) 2))>
#<alt (* x (- (* x (+ 2 (* -4/3 x))) 2))>
#<alt (* x (- (* x (+ 2 (* -4/3 x))) 2))>
#<alt (* -4/3 (pow x 3))>
#<alt (* (pow x 3) (- (* 2 (/ 1 x)) 4/3))>
#<alt (* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))>
#<alt (* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))>
#<alt (* -4/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))))>
#<alt (* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))))>
#<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 1/2>
#<alt (+ 1/2 (* -1/4 x))>
#<alt (+ 1/2 (* x (- (* 1/8 x) 1/4)))>
#<alt (+ 1/2 (* x (- (* x (+ 1/8 (* 1/48 x))) 1/4)))>
#<alt (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))>
#<alt (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))>
#<alt (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))>
#<alt (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))>
#<alt (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))>
#<alt (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))>
#<alt (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))>
#<alt (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -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 (* 2 x)>
#<alt (* -4/3 x)>
#<alt (* -4/3 x)>
#<alt (* -4/3 x)>
#<alt (* -4/3 x)>
#<alt (* -4/3 x)>
#<alt (* -4/3 x)>
#<alt (* -4/3 x)>
#<alt (* -4/3 x)>
#<alt (* -4/3 x)>
#<alt (* -4/3 x)>
#<alt (* -4/3 x)>
#<alt (* -4/3 x)>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* -4/3 x)))>
#<alt (* x (+ 2 (* -4/3 x)))>
#<alt (* x (+ 2 (* -4/3 x)))>
#<alt (* -4/3 (pow x 2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 4/3))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 4/3))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 4/3))>
#<alt (* -4/3 (pow x 2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 4/3))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 4/3))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 4/3))>

Calls

63 calls:

Time	Variable		Point	Expression
13.0ms	x	@	-inf	(- (/ (/ 4 (pow (- -1 (exp (* -2 x))) 2)) (+ 1 (/ 2 (+ 1 (exp (* -2 x)))))) (/ 1 (+ 1 (/ 2 (+ 1 (exp (* -2 x)))))))
3.0ms	x	@	inf	(- (/ (/ 4 (pow (- -1 (exp (* -2 x))) 2)) (+ 1 (/ 2 (+ 1 (exp (* -2 x)))))) (/ 1 (+ 1 (/ 2 (+ 1 (exp (* -2 x)))))))
3.0ms	x	@	0	(* x (+ -2 (* x 2)))
1.0ms	x	@	inf	(/ (/ 4 (pow (- -1 (exp (* -2 x))) 2)) (+ 1 (/ 2 (+ 1 (exp (* -2 x))))))
1.0ms	x	@	0	(- (/ (/ 4 (pow (- -1 (exp (* -2 x))) 2)) (+ 1 (/ 2 (+ 1 (exp (* -2 x)))))) (/ 1 (+ 1 (/ 2 (+ 1 (exp (* -2 x)))))))

rewrite350.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2726×	`-lowering-.f32`
2726×	`-lowering-.f64`
2510×	`fma-lowering-fma.f32`
2510×	`fma-lowering-fma.f64`
2048×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	210
1	274	185
2	2863	184
0	8453	184

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 453

Calls

Call 1

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

Outputs
(+.f64 (/.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) #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 #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 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) #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 -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 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 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) #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)))))) (fma.f64 #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 #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 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) #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)))))) (fma.f64 (neg.f64 (pow.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 -1/2 binary64))) (pow.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 -1/2 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 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))))) (/.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) #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 (fma.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (-.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))))))) (neg.f64 (.f64 (/.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 -1 binary64)))) (fma.f64 (/.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 -1 binary64) (.f64 (/.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 -1 binary64))))
(+.f64 (fma.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (-.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))))))) (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.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 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64)))))))) (fma.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.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 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.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 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64))))))))
(+.f64 (fma.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (-.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))))))) (neg.f64 (.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 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64)))))))) (fma.f64 (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 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))))) (.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 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))))))))
(+.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (-.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)))))) (neg.f64 (.f64 (/.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 -1 binary64)))) (fma.f64 (/.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 -1 binary64) (.f64 (/.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 -1 binary64))))
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(/.f64 (+.f64 (.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -4/3 binary64))) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -4/3 binary64)))) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -4/3 binary64)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (+.f64 (.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) x)) (-.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -4/3 binary64))))) (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -4/3 binary64)))))) (.f64 (.f64 #s(literal -2 binary64) x) (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4/3 binary64)))))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -4/3 binary64))))) (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -4/3 binary64))))))) (-.f64 (.f64 #s(literal -2 binary64) x) (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -4/3 binary64)))))))
(/.f64 (.f64 x (+.f64 #s(literal -8 binary64) (.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -4/3 binary64)))) (.f64 x (.f64 (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -4/3 binary64))) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -4/3 binary64))))))))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -4/3 binary64)))) (-.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -4/3 binary64)))) #s(literal -2 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 4 binary64) (.f64 x (.f64 (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -4/3 binary64))) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -4/3 binary64)))))))) (-.f64 #s(literal -2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -4/3 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal -8 binary64) (.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -4/3 binary64)))) (.f64 x (.f64 (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -4/3 binary64))) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -4/3 binary64)))))))) x) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -4/3 binary64)))) (-.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -4/3 binary64)))) #s(literal -2 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 4 binary64) (.f64 x (.f64 (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -4/3 binary64))) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -4/3 binary64))))))) x) (-.f64 #s(literal -2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -4/3 binary64))))))
(.f64 x (+.f64 #s(literal -2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4/3 binary64))))))
(.f64 (+.f64 #s(literal -2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4/3 binary64))))) x)
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) (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 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (neg.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal 1 binary64)))
(pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 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 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 (/.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 2 binary64))
(.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 #s(literal -4 binary64) x)) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -4 binary64) x)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(exp.f64 (-.f64 #s(literal 0 binary64) (log1p.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 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 -1 binary64) (neg.f64 (/.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 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.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) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) #s(literal -1 binary64))
(pow.f64 (pow.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 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.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 (pow.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 -1/2 binary64)) #s(literal 2 binary64))
(.f64 #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 #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 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 (pow.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 -1/2 binary64)) (pow.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 -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (.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 1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.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 1 binary64))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) #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) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))))) (pow.f64 (/.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 -1 binary64)))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal -4/3 binary64))
(*.f64 #s(literal -4/3 binary64) x)
(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x (*.f64 x #s(literal -4/3 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal -4/3 binary64))) (*.f64 x #s(literal 2 binary64)))
(fma.f64 x #s(literal 2 binary64) (.f64 x (.f64 x #s(literal -4/3 binary64))))
(fma.f64 x (.f64 x #s(literal -4/3 binary64)) (.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x (.f64 x (.f64 x #s(literal -4/3 binary64))))
(fma.f64 (.f64 x x) #s(literal -4/3 binary64) (.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal -4/3 binary64) (.f64 x x) (.f64 x #s(literal 2 binary64)))
(fma.f64 (.f64 x #s(literal -4/3 binary64)) x (.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -64/27 binary64)) (.f64 x (.f64 x x)))) (+.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (-.f64 (.f64 (.f64 x (.f64 x #s(literal -4/3 binary64))) (.f64 x (.f64 x #s(literal -4/3 binary64)))) (.f64 (.f64 x #s(literal 2 binary64)) (.f64 x (.f64 x #s(literal -4/3 binary64)))))))
(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x #s(literal -4/3 binary64))) (.f64 x (.f64 x #s(literal -4/3 binary64))))) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 x (.f64 x #s(literal -4/3 binary64)))))
(/.f64 (.f64 x (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -64/27 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x #s(literal -4/3 binary64)) (-.f64 (*.f64 x #s(literal -4/3 binary64)) #s(literal 2 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal 16/9 binary64)))) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal -4/3 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -64/27 binary64))) x) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x #s(literal -4/3 binary64)) (-.f64 (*.f64 x #s(literal -4/3 binary64)) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal 16/9 binary64))) x) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal -4/3 binary64))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -4/3 binary64))))
(.f64 (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -4/3 binary64))) x)

simplify288.0ms (3%)

Algorithm

1×	egg-herbie

Rules

4254×	`-lowering-.f32`
4254×	`-lowering-.f64`
1992×	`+-lowering-+.f64`
1992×	`+-lowering-+.f32`
1568×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	264	2242
1	758	2000
2	2227	1963
3	7054	1963
0	8509	1963

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(- (* 4 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(- (* 4 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(- (* 4 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(- (* 4 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(- (* 4 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(- (* 4 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(- (* 4 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(- (* 4 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
1/2
(+ 1/2 (* 3/4 x))
(+ 1/2 (* x (+ 3/4 (* 1/8 x))))
(+ 1/2 (* x (+ 3/4 (* x (+ 1/8 (* -5/16 x))))))
(/ 4 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(/ 4 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(/ 4 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(/ 4 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(/ 4 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(/ 4 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(/ 4 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(/ 4 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 x)))
(+ 1 (* x (+ 2 (* x (+ 1 (* -2/3 x))))))
(/ 4 (pow (+ 1 (exp (* -2 x))) 2))
(/ 4 (pow (+ 1 (exp (* -2 x))) 2))
(/ 4 (pow (+ 1 (exp (* -2 x))) 2))
(/ 4 (pow (+ 1 (exp (* -2 x))) 2))
(/ 4 (pow (+ 1 (exp (* -2 x))) 2))
(/ 4 (pow (+ 1 (exp (* -2 x))) 2))
(/ 4 (pow (+ 1 (exp (* -2 x))) 2))
(/ 4 (pow (+ 1 (exp (* -2 x))) 2))
4
(+ 4 (* -8 x))
(+ 4 (* x (- (* 12 x) 8)))
(+ 4 (* x (- (* x (+ 12 (* -40/3 x))) 8)))
(pow (+ 1 (exp (* -2 x))) 2)
(pow (+ 1 (exp (* -2 x))) 2)
(pow (+ 1 (exp (* -2 x))) 2)
(pow (+ 1 (exp (* -2 x))) 2)
(pow (+ 1 (exp (* -2 x))) 2)
(pow (+ 1 (exp (* -2 x))) 2)
(pow (+ 1 (exp (* -2 x))) 2)
(pow (+ 1 (exp (* -2 x))) 2)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (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)
x
(* x (+ 1 (* -1 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* -1 x) 1))))
(* x (+ 1 (* (pow x 2) (- (* x (- (pow x 2) 1)) 1))))
-1
(- (/ 1 (pow x 2)) 1)
(- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1)
(- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 5))))
-1
(- (/ 1 (pow x 2)) 1)
(- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1)
(- (+ (* -1 (/ (- (/ 1 (pow x 2)) 1) (pow x 3))) (/ 1 (pow x 2))) 1)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* -1 x) 1)))))
(/ 1 (pow x 2))
(/ (+ 1 (/ 1 x)) (pow x 2))
(/ (- (+ 1 (/ 1 x)) (/ 1 (pow x 3))) (pow x 2))
(/ (+ 1 (+ (* -1 (/ (+ 1 (/ 1 x)) (pow x 3))) (/ 1 x))) (pow x 2))
(/ 1 (pow x 2))
(/ (+ 1 (/ 1 x)) (pow x 2))
(/ (+ 1 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))) (pow x 2))
(/ (+ 1 (* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1) x))) (pow x 2))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* 2 x) 2)))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))
(* -2 x)
(* x (- (* 2 x) 2))
(* x (- (* 2 x) 2))
(* x (- (* 2 x) 2))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/3 x) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* x (+ 1/3 (* 2/3 x))) 1/3))))
-1
(* -1 (+ 1 (* 3/2 (/ 1 (pow x 3)))))
(- (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) 1)
(- (* -1 (/ (+ 9/4 (* 9/8 (/ 1 x))) (pow x 4))) (+ 1 (* 3/2 (/ 1 (pow x 3)))))
-1
(* -1 (+ 1 (* 3/2 (/ 1 (pow x 3)))))
(- (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) 1)
(- (* -1 (/ (+ 3/2 (+ (* 9/4 (/ 1 x)) (/ 9/8 (pow x 2)))) (pow x 3))) 1)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 1/3 x) 1/3)))))
(/ -3/2 (pow x 3))
(* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3)))
(/ (- (* -1 (/ (+ 9/4 (* 9/8 (/ 1 x))) x)) 3/2) (pow x 3))
(/ (- (* -1 (/ (+ 9/8 (* 9/16 (/ 1 x))) (pow x 2))) (+ 3/2 (* 9/4 (/ 1 x)))) (pow x 3))
(/ -3/2 (pow x 3))
(* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3)))
(* -1 (/ (+ 3/2 (+ (* 9/4 (/ 1 x)) (/ 9/8 (pow x 2)))) (pow x 3)))
(* -1 (/ (+ 3/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 9/16 (/ 1 x))) x)) 9/4) x))) (pow x 3)))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(* -4/3 (pow x 3))
(* (pow x 3) (- (* 2 (/ 1 x)) 4/3))
(* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2)))))
(* -4/3 (pow x 3))
(* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))))
(* -2 x)
(* x (- (* 2 x) 2))
(* x (- (* x (+ 2 (* -4/3 x))) 2))
(* x (- (* x (+ 2 (* -4/3 x))) 2))
(* -4/3 (pow x 3))
(* (pow x 3) (- (* 2 (/ 1 x)) 4/3))
(* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(* -4/3 (pow x 3))
(* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))))
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))))
1/2
(+ 1/2 (* -1/4 x))
(+ 1/2 (* x (- (* 1/8 x) 1/4)))
(+ 1/2 (* x (- (* x (+ 1/8 (* 1/48 x))) 1/4)))
(/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 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)
(* -4/3 x)
(* -4/3 x)
(* -4/3 x)
(* -4/3 x)
(* -4/3 x)
(* -4/3 x)
(* -4/3 x)
(* -4/3 x)
(* -4/3 x)
(* -4/3 x)
(* -4/3 x)
(* -4/3 x)
(* 2 x)
(* x (+ 2 (* -4/3 x)))
(* x (+ 2 (* -4/3 x)))
(* x (+ 2 (* -4/3 x)))
(* -4/3 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3))
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3))
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3))
(* -4/3 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3))
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3))
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3))

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 (.f64 x 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 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))))
(- (* 4 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(+.f64 (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))))))
(- (* 4 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(+.f64 (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))))))
(- (* 4 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(+.f64 (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))))))
(- (* 4 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(+.f64 (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))))))
(- (* 4 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(+.f64 (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))))))
(- (* 4 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(+.f64 (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))))))
(- (* 4 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(+.f64 (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))))))
(- (* 4 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(+.f64 (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 3/4 x))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 3/4 binary64)))
(+ 1/2 (* x (+ 3/4 (* 1/8 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 3/4 binary64) (.f64 x #s(literal 1/8 binary64)))))
(+ 1/2 (* x (+ 3/4 (* x (+ 1/8 (* -5/16 x))))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 3/4 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x #s(literal -5/16 binary64)))))))
(/ 4 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(/.f64 #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))))
(/ 4 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(/.f64 #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))))
(/ 4 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(/.f64 #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))))
(/ 4 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(/.f64 #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))))
(/ 4 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(/.f64 #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))))
(/ 4 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(/.f64 #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))))
(/ 4 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(/.f64 #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))))
(/ 4 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(/.f64 #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.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)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 2 binary64))))
(+ 1 (* x (+ 2 (* x (+ 1 (* -2/3 x))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2/3 binary64)))))))
(/ 4 (pow (+ 1 (exp (* -2 x))) 2))
(/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))
(/ 4 (pow (+ 1 (exp (* -2 x))) 2))
(/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))
(/ 4 (pow (+ 1 (exp (* -2 x))) 2))
(/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))
(/ 4 (pow (+ 1 (exp (* -2 x))) 2))
(/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))
(/ 4 (pow (+ 1 (exp (* -2 x))) 2))
(/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))
(/ 4 (pow (+ 1 (exp (* -2 x))) 2))
(/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))
(/ 4 (pow (+ 1 (exp (* -2 x))) 2))
(/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))
(/ 4 (pow (+ 1 (exp (* -2 x))) 2))
(/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))
4
#s(literal 4 binary64)
(+ 4 (* -8 x))
(+.f64 #s(literal 4 binary64) (*.f64 x #s(literal -8 binary64)))
(+ 4 (* x (- (* 12 x) 8)))
(+.f64 #s(literal 4 binary64) (.f64 x (+.f64 #s(literal -8 binary64) (.f64 x #s(literal 12 binary64)))))
(+ 4 (* x (- (* x (+ 12 (* -40/3 x))) 8)))
(+.f64 #s(literal 4 binary64) (.f64 x (+.f64 #s(literal -8 binary64) (.f64 x (+.f64 #s(literal 12 binary64) (*.f64 x #s(literal -40/3 binary64)))))))
(pow (+ 1 (exp (* -2 x))) 2)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))
(pow (+ 1 (exp (* -2 x))) 2)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))
(pow (+ 1 (exp (* -2 x))) 2)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))
(pow (+ 1 (exp (* -2 x))) 2)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))
(pow (+ 1 (exp (* -2 x))) 2)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))
(pow (+ 1 (exp (* -2 x))) 2)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))
(pow (+ 1 (exp (* -2 x))) 2)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))
(pow (+ 1 (exp (* -2 x))) 2)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #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 (.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(+.f64 (.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(+.f64 (.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) 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))
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(*.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))
(* -4/3 x)
(*.f64 x #s(literal -4/3 binary64))
(* -4/3 x)
(*.f64 x #s(literal -4/3 binary64))
(* -4/3 x)
(*.f64 x #s(literal -4/3 binary64))
(* -4/3 x)
(*.f64 x #s(literal -4/3 binary64))
(* -4/3 x)
(*.f64 x #s(literal -4/3 binary64))
(* -4/3 x)
(*.f64 x #s(literal -4/3 binary64))
(* -4/3 x)
(*.f64 x #s(literal -4/3 binary64))
(* -4/3 x)
(*.f64 x #s(literal -4/3 binary64))
(* -4/3 x)
(*.f64 x #s(literal -4/3 binary64))
(* -4/3 x)
(*.f64 x #s(literal -4/3 binary64))
(* -4/3 x)
(*.f64 x #s(literal -4/3 binary64))
(* -4/3 x)
(*.f64 x #s(literal -4/3 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* -4/3 x)))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -4/3 binary64))))
(* x (+ 2 (* -4/3 x)))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -4/3 binary64))))
(* x (+ 2 (* -4/3 x)))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -4/3 binary64))))
(* -4/3 (pow x 2))
(.f64 (.f64 x x) #s(literal -4/3 binary64))
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3))
(.f64 x (.f64 x (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -4/3 binary64))))
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3))
(.f64 x (.f64 x (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -4/3 binary64))))
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3))
(.f64 x (.f64 x (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -4/3 binary64))))
(* -4/3 (pow x 2))
(.f64 (.f64 x x) #s(literal -4/3 binary64))
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3))
(.f64 x (.f64 x (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -4/3 binary64))))
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3))
(.f64 x (.f64 x (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -4/3 binary64))))
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3))
(.f64 x (.f64 x (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -4/3 binary64))))

eval92.0ms (1%)

Compiler: Compiled 23595 to 1923 computations (91.8% saved)

prune89.0ms (0.9%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	732	2	734
Fresh	1	6	7
Picked	3	2	5
Done	0	1	1
Total	736	11	747

Accuracy

100.0%

Counts

747 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.3%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (-.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))))))
✓	57.3%	(-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (-.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 #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)))))))
▶	26.1%	(-.f64 (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))) #s(literal 1 binary64))
✓	57.3%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
	5.8%	(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
▶	5.0%	(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64))))))) #s(literal 1 binary64))
▶	46.1%	(+.f64 (.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64))) x)
	46.2%	(.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)))))))
	47.6%	(.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))))))
✓	48.4%	x
▶	31.1%	#s(literal -1 binary64)

Compiler

Compiled 307 to 204 computations (33.6% saved)

simplify192.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	64	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
✓	cost-diff	64	(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))))
✓	cost-diff	192	(/.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))))
✓	cost-diff	192	(-.f64 (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))) #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64)))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
✓	cost-diff	0	(+.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)))))))
✓	cost-diff	256	(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64))))))) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 x #s(literal -1/3 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64)))
✓	cost-diff	0	(+.f64 (.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64))) x)
✓	cost-diff	0	(pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 4 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (-.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))))))

Rules

2572×	`fma-lowering-fma.f32`
2572×	`fma-lowering-fma.f64`
2392×	`+-lowering-+.f64`
2392×	`+-lowering-+.f32`
1732×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	282
1	101	260
2	272	252
3	729	244
4	1946	244
5	7636	244
0	8264	244

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

Outputs
(/ (- 1 (/ 4 (pow (- -1 (exp (* -2 x))) 2))) (- -1 (/ 2 (+ 1 (exp (* -2 x))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 (-.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))))))
(- 1 (/ 4 (pow (- -1 (exp (* -2 x))) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(/ 4 (pow (- -1 (exp (* -2 x))) 2))
(/.f64 #s(literal 4 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))
4
#s(literal 4 binary64)
(pow (- -1 (exp (* -2 x))) 2)
(pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #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
2
#s(literal 2 binary64)
(- -1 (/ 2 (+ 1 (exp (* -2 x)))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
-1
#s(literal -1 binary64)
(+ (* (* x x) (* x -1/3)) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* (* x x) (* x -1/3))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(* x x)
(*.f64 x x)
x
(* x -1/3)
(*.f64 x #s(literal -1/3 binary64))
-1/3
#s(literal -1/3 binary64)
(- (+ 1 (* x (+ 1 (* (* x x) (+ -1/3 (* (* x x) 2/15)))))) 1)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x 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 (.f64 x 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 (.f64 x 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 (.f64 x 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 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64)))))
(* x x)
(*.f64 x x)
(+ -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)))
2/15
#s(literal 2/15 binary64)
(- (/ (/ 2 (- 1 (exp (* x -4)))) (/ 1 (- 1 (exp (* -2 x))))) 1)
(+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (expm1.f64 (*.f64 x #s(literal -4 binary64))))))
(/ (/ 2 (- 1 (exp (* x -4)))) (/ 1 (- 1 (exp (* -2 x)))))
(neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (expm1.f64 (*.f64 x #s(literal -4 binary64)))))
(/ 2 (- 1 (exp (* x -4))))
(neg.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (*.f64 x #s(literal -4 binary64)))))
2
#s(literal 2 binary64)
(- 1 (exp (* x -4)))
(-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))
1
#s(literal 1 binary64)
(exp (* x -4))
(exp.f64 (*.f64 x #s(literal -4 binary64)))
(* x -4)
(*.f64 x #s(literal -4 binary64))
x
-4
#s(literal -4 binary64)
(/ 1 (- 1 (exp (* -2 x))))
(neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -2 binary64) x))))
(- 1 (exp (* -2 x)))
(-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
(exp (* -2 x))
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
-2
#s(literal -2 binary64)

localize588.0ms (6.2%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
✓	accuracy	57.4%	(-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))
✓	accuracy	57.3%	(-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
✓	accuracy	57.3%	(-.f64 (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))) #s(literal 1 binary64))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
✓	accuracy	99.9%	(.f64 (.f64 x x) #s(literal 2/15 binary64))
✓	accuracy	99.8%	(.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64))))
✓	accuracy	57.4%	(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64))))))) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 (.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64))) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64)))
✓	accuracy	99.7%	(*.f64 x #s(literal -1/3 binary64))
✓	accuracy	100.0%	(pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (-.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))))))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
✓	accuracy	57.3%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))))

Results

189.0ms	73×	5	exit
145.0ms	58×	2	valid
94.0ms	58×	1	valid
25.0ms	67×	0	valid

Compiler

Compiled 301 to 40 computations (86.7% saved)

Precisions

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

ival-exp: 67.0ms (21.6% of total)

backward-pass: 52.0ms (16.8% of total)

ival-mult: 50.0ms (16.2% of total)

ival-sub: 38.0ms (12.3% of total)

ival-div: 35.0ms (11.3% of total)

...c/correct-round.rkt:119:19: 33.0ms (10.7% of total)

ival-add: 22.0ms (7.1% of total)

ival-pow: 10.0ms (3.2% of total)

const: 3.0ms (1% of total)

series19.0ms (0.2%)

Counts

21 → 252

Calls

Call 1

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

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 (* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))>
#<alt (* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))>
#<alt (* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))>
#<alt (* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))>
#<alt (* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))>
#<alt (* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))>
#<alt (* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))>
#<alt (* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))>
#<alt (* -2 x)>
#<alt (* x (- (* -1 x) 2))>
#<alt (* x (- (* x (- (* 2/3 x) 1)) 2))>
#<alt (* x (- (* x (- (* x (+ 2/3 (* 2/3 x))) 1)) 2))>
#<alt (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))>
#<alt (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))>
#<alt (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))>
#<alt (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))>
#<alt (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))>
#<alt (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))>
#<alt (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))>
#<alt (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))>
#<alt 1>
#<alt (+ 1 (* 2 x))>
#<alt (+ 1 (* x (+ 2 x)))>
#<alt (+ 1 (* x (+ 2 (* x (+ 1 (* -2/3 x))))))>
#<alt (/ 4 (pow (+ 1 (exp (* -2 x))) 2))>
#<alt (/ 4 (pow (+ 1 (exp (* -2 x))) 2))>
#<alt (/ 4 (pow (+ 1 (exp (* -2 x))) 2))>
#<alt (/ 4 (pow (+ 1 (exp (* -2 x))) 2))>
#<alt (/ 4 (pow (+ 1 (exp (* -2 x))) 2))>
#<alt (/ 4 (pow (+ 1 (exp (* -2 x))) 2))>
#<alt (/ 4 (pow (+ 1 (exp (* -2 x))) 2))>
#<alt (/ 4 (pow (+ 1 (exp (* -2 x))) 2))>
#<alt 4>
#<alt (+ 4 (* -8 x))>
#<alt (+ 4 (* x (- (* 12 x) 8)))>
#<alt (+ 4 (* x (- (* x (+ 12 (* -40/3 x))) 8)))>
#<alt (pow (+ 1 (exp (* -2 x))) 2)>
#<alt (pow (+ 1 (exp (* -2 x))) 2)>
#<alt (pow (+ 1 (exp (* -2 x))) 2)>
#<alt (pow (+ 1 (exp (* -2 x))) 2)>
#<alt (pow (+ 1 (exp (* -2 x))) 2)>
#<alt (pow (+ 1 (exp (* -2 x))) 2)>
#<alt (pow (+ 1 (exp (* -2 x))) 2)>
#<alt (pow (+ 1 (exp (* -2 x))) 2)>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* -1/3 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (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 (* -1/3 (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 (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 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 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 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 (exp (* -2 x))) (- 1 (exp (* -4 x))))) 1)>
#<alt (- (* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x))))) 1)>
#<alt (- (* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x))))) 1)>
#<alt (- (* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x))))) 1)>
#<alt (- (* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x))))) 1)>
#<alt (- (* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x))))) 1)>
#<alt (- (* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x))))) 1)>
#<alt (- (* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 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))) (- 1 (exp (* -4 x)))))>
#<alt (* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x)))))>
#<alt (* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x)))))>
#<alt (* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x)))))>
#<alt (* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x)))))>
#<alt (* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x)))))>
#<alt (* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x)))))>
#<alt (* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x)))))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 x) x)>
#<alt (/ (+ 1/2 (* x (+ 1 (* 2/3 x)))) x)>
#<alt (/ (+ 1/2 (* x (+ 1 (* x (+ 2/3 (* -8/45 (pow x 2))))))) x)>
#<alt (/ 2 (- 1 (exp (* -4 x))))>
#<alt (/ 2 (- 1 (exp (* -4 x))))>
#<alt (/ 2 (- 1 (exp (* -4 x))))>
#<alt (/ 2 (- 1 (exp (* -4 x))))>
#<alt (/ 2 (- 1 (exp (* -4 x))))>
#<alt (/ 2 (- 1 (exp (* -4 x))))>
#<alt (/ 2 (- 1 (exp (* -4 x))))>
#<alt (/ 2 (- 1 (exp (* -4 x))))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 1/2 x)) x)>
#<alt (/ (+ 1/2 (* x (+ 1/2 (* 1/6 x)))) x)>
#<alt (/ (+ 1/2 (* x (+ 1/2 (* x (+ 1/6 (* -1/90 (pow x 2))))))) x)>
#<alt (/ 1 (- 1 (exp (* -2 x))))>
#<alt (/ 1 (- 1 (exp (* -2 x))))>
#<alt (/ 1 (- 1 (exp (* -2 x))))>
#<alt (/ 1 (- 1 (exp (* -2 x))))>
#<alt (/ 1 (- 1 (exp (* -2 x))))>
#<alt (/ 1 (- 1 (exp (* -2 x))))>
#<alt (/ 1 (- 1 (exp (* -2 x))))>
#<alt (/ 1 (- 1 (exp (* -2 x))))>
#<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 (* -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 (* 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))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* -2 x)))>
#<alt (* x (+ 2 (* x (- (* 4/3 x) 2))))>
#<alt (* x (+ 2 (* x (- (* x (+ 4/3 (* -2/3 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 (* 4 x)>
#<alt (* x (+ 4 (* -8 x)))>
#<alt (* x (+ 4 (* x (- (* 32/3 x) 8))))>
#<alt (* x (+ 4 (* x (- (* x (+ 32/3 (* -32/3 x))) 8))))>
#<alt (- 1 (exp (* -4 x)))>
#<alt (- 1 (exp (* -4 x)))>
#<alt (- 1 (exp (* -4 x)))>
#<alt (- 1 (exp (* -4 x)))>
#<alt (- 1 (exp (* -4 x)))>
#<alt (- 1 (exp (* -4 x)))>
#<alt (- 1 (exp (* -4 x)))>
#<alt (- 1 (exp (* -4 x)))>

Calls

63 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(+ (* (* x x) (* x -1/3)) x)
2.0ms	x	@	inf	(/ (- 1 (/ 4 (pow (- -1 (exp (* -2 x))) 2))) (- -1 (/ 2 (+ 1 (exp (* -2 x))))))
2.0ms	x	@	-inf	(/ (- 1 (/ 4 (pow (- -1 (exp (* -2 x))) 2))) (- -1 (/ 2 (+ 1 (exp (* -2 x))))))
1.0ms	x	@	-inf	(- (/ (/ 2 (- 1 (exp (* x -4)))) (/ 1 (- 1 (exp (* -2 x))))) 1)
1.0ms	x	@	inf	(- (/ (/ 2 (- 1 (exp (* x -4)))) (/ 1 (- 1 (exp (* -2 x))))) 1)

rewrite717.0ms (7.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2650×	`fma-lowering-fma.f32`
2650×	`fma-lowering-fma.f64`
2618×	`-lowering-.f32`
2618×	`-lowering-.f64`
1666×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	222
1	268	163
2	2817	160
0	8213	160

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 678

Calls

Call 1

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

Outputs
(+.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 -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) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))))) (neg.f64 (/.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (-.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 (fma.f64 #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)))))) (neg.f64 (.f64 (/.f64 (pow.f64 (-.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)))))) #s(literal 4 binary64)))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (-.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))))))) #s(literal 4 binary64) (.f64 (/.f64 (pow.f64 (-.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)))))) #s(literal 4 binary64))))
(+.f64 (fma.f64 #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)))))) (neg.f64 (.f64 (/.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 #s(literal 4 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (/.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 #s(literal 4 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) (.f64 (/.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 #s(literal 4 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))))))
(+.f64 (fma.f64 #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)))))) (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.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))))))) (/.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (-.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 8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64)))))))) (fma.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.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)))))))) (/.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (-.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 8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.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))))))) (/.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (-.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 8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64))))))))
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(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -4 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) (exp.f64 (*.f64 x #s(literal -4 binary64)))))))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(+.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -4 binary64))) (exp.f64 (.f64 x #s(literal -8 binary64)))))) (/.f64 (exp.f64 (.f64 x #s(literal -12 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -4 binary64))) (exp.f64 (*.f64 x #s(literal -8 binary64)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -4 binary64))))) (/.f64 (exp.f64 (.f64 x #s(literal -8 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))))
(fma.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -4 binary64))) (exp.f64 (.f64 x #s(literal -8 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -12 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -4 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -8 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -12 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -4 binary64))) (exp.f64 (*.f64 x #s(literal -8 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -8 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -4 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -12 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -4 binary64))) (exp.f64 (*.f64 x #s(literal -8 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -8 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -4 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (exp.f64 (.f64 x #s(literal -12 binary64))))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (.f64 x #s(literal -4 binary64)))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (.f64 x #s(literal -4 binary64)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (.f64 x #s(literal -4 binary64))))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -4 binary64))) (exp.f64 (.f64 x #s(literal -8 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -12 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -4 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -8 binary64))))) #s(literal -1 binary64))
(.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -12 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -4 binary64))) (exp.f64 (.f64 x #s(literal -8 binary64)))))))
(.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))))

simplify287.0ms (3%)

Algorithm

1×	egg-herbie

Rules

4010×	`+-lowering-+.f64`
4010×	`+-lowering-+.f32`
3690×	`-lowering-.f32`
3690×	`-lowering-.f64`
1434×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	202	2264
1	560	2041
2	1440	2010
3	3989	1934
0	8329	1934

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(* -2 x)
(* x (- (* -1 x) 2))
(* x (- (* x (- (* 2/3 x) 1)) 2))
(* x (- (* x (- (* x (+ 2/3 (* 2/3 x))) 1)) 2))
(- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))
(- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))
(- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))
(- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))
(- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))
(- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))
(- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))
(- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 x)))
(+ 1 (* x (+ 2 (* x (+ 1 (* -2/3 x))))))
(/ 4 (pow (+ 1 (exp (* -2 x))) 2))
(/ 4 (pow (+ 1 (exp (* -2 x))) 2))
(/ 4 (pow (+ 1 (exp (* -2 x))) 2))
(/ 4 (pow (+ 1 (exp (* -2 x))) 2))
(/ 4 (pow (+ 1 (exp (* -2 x))) 2))
(/ 4 (pow (+ 1 (exp (* -2 x))) 2))
(/ 4 (pow (+ 1 (exp (* -2 x))) 2))
(/ 4 (pow (+ 1 (exp (* -2 x))) 2))
4
(+ 4 (* -8 x))
(+ 4 (* x (- (* 12 x) 8)))
(+ 4 (* x (- (* x (+ 12 (* -40/3 x))) 8)))
(pow (+ 1 (exp (* -2 x))) 2)
(pow (+ 1 (exp (* -2 x))) 2)
(pow (+ 1 (exp (* -2 x))) 2)
(pow (+ 1 (exp (* -2 x))) 2)
(pow (+ 1 (exp (* -2 x))) 2)
(pow (+ 1 (exp (* -2 x))) 2)
(pow (+ 1 (exp (* -2 x))) 2)
(pow (+ 1 (exp (* -2 x))) 2)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (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)))))
(* -1/3 (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))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 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)))
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)))))
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 (exp (* -2 x))) (- 1 (exp (* -4 x))))) 1)
(- (* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x))))) 1)
(- (* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x))))) 1)
(- (* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x))))) 1)
(- (* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x))))) 1)
(- (* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x))))) 1)
(- (* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x))))) 1)
(- (* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 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))) (- 1 (exp (* -4 x)))))
(* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x)))))
(* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x)))))
(* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x)))))
(* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x)))))
(* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x)))))
(* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x)))))
(* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x)))))
(/ 1/2 x)
(/ (+ 1/2 x) x)
(/ (+ 1/2 (* x (+ 1 (* 2/3 x)))) x)
(/ (+ 1/2 (* x (+ 1 (* x (+ 2/3 (* -8/45 (pow x 2))))))) x)
(/ 2 (- 1 (exp (* -4 x))))
(/ 2 (- 1 (exp (* -4 x))))
(/ 2 (- 1 (exp (* -4 x))))
(/ 2 (- 1 (exp (* -4 x))))
(/ 2 (- 1 (exp (* -4 x))))
(/ 2 (- 1 (exp (* -4 x))))
(/ 2 (- 1 (exp (* -4 x))))
(/ 2 (- 1 (exp (* -4 x))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/2 x)) x)
(/ (+ 1/2 (* x (+ 1/2 (* 1/6 x)))) x)
(/ (+ 1/2 (* x (+ 1/2 (* x (+ 1/6 (* -1/90 (pow x 2))))))) x)
(/ 1 (- 1 (exp (* -2 x))))
(/ 1 (- 1 (exp (* -2 x))))
(/ 1 (- 1 (exp (* -2 x))))
(/ 1 (- 1 (exp (* -2 x))))
(/ 1 (- 1 (exp (* -2 x))))
(/ 1 (- 1 (exp (* -2 x))))
(/ 1 (- 1 (exp (* -2 x))))
(/ 1 (- 1 (exp (* -2 x))))
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))))
(* -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)))))
(* 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))
(* 2 x)
(* x (+ 2 (* -2 x)))
(* x (+ 2 (* x (- (* 4/3 x) 2))))
(* x (+ 2 (* x (- (* x (+ 4/3 (* -2/3 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)))
(* 4 x)
(* x (+ 4 (* -8 x)))
(* x (+ 4 (* x (- (* 32/3 x) 8))))
(* x (+ 4 (* x (- (* x (+ 32/3 (* -32/3 x))) 8))))
(- 1 (exp (* -4 x)))
(- 1 (exp (* -4 x)))
(- 1 (exp (* -4 x)))
(- 1 (exp (* -4 x)))
(- 1 (exp (* -4 x)))
(- 1 (exp (* -4 x)))
(- 1 (exp (* -4 x)))
(- 1 (exp (* -4 x)))

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* x (+ 1 (* (pow x 2) (- (* 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) (- (* (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 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
(* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))))))
(* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))))))
(* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))))))
(* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))))))
(* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))))))
(* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))))))
(* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))))))
(* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
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(* 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 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
(- (* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x))))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))))
(- (* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x))))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))))
(- (* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x))))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))))
(- (* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x))))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))))
(- (* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x))))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))))
(- (* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x))))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))))
(- (* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x))))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))))
(- (* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x))))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 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 x (*.f64 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 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x)))))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))))
(* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x)))))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))))
(* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x)))))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))))
(* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x)))))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))))
(* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x)))))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))))
(* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x)))))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))))
(* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x)))))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))))
(* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x)))))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 x) x)
(/.f64 (+.f64 x #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* x (+ 1 (* 2/3 x)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2/3 binary64))))) x)
(/ (+ 1/2 (* x (+ 1 (* x (+ 2/3 (* -8/45 (pow x 2))))))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal -8/45 binary64))))))) x)
(/ 2 (- 1 (exp (* -4 x))))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))))
(/ 2 (- 1 (exp (* -4 x))))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))))
(/ 2 (- 1 (exp (* -4 x))))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))))
(/ 2 (- 1 (exp (* -4 x))))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))))
(/ 2 (- 1 (exp (* -4 x))))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))))
(/ 2 (- 1 (exp (* -4 x))))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))))
(/ 2 (- 1 (exp (* -4 x))))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))))
(/ 2 (- 1 (exp (* -4 x))))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/2 x)) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(/ (+ 1/2 (* x (+ 1/2 (* 1/6 x)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))) x)
(/ (+ 1/2 (* x (+ 1/2 (* x (+ 1/6 (* -1/90 (pow x 2))))))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/90 binary64))))))) x)
(/ 1 (- 1 (exp (* -2 x))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 1 (- 1 (exp (* -2 x))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 1 (- 1 (exp (* -2 x))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 1 (- 1 (exp (* -2 x))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 1 (- 1 (exp (* -2 x))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 1 (- 1 (exp (* -2 x))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 1 (- 1 (exp (* -2 x))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 1 (- 1 (exp (* -2 x))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 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 x (*.f64 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 (+ 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)))))
(* -1/3 (pow x 2))
(.f64 x (.f64 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))))
(* 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))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* -2 x)))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -2 binary64))))
(* x (+ 2 (* x (- (* 4/3 x) 2))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 4/3 binary64))))))
(* x (+ 2 (* x (- (* x (+ 4/3 (* -2/3 x))) 2))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -2/3 binary64)) #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))))
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* x (+ 4 (* -8 x)))
(.f64 x (+.f64 #s(literal 4 binary64) (.f64 x #s(literal -8 binary64))))
(* x (+ 4 (* x (- (* 32/3 x) 8))))
(.f64 x (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 #s(literal -8 binary64) (*.f64 x #s(literal 32/3 binary64))))))
(* x (+ 4 (* x (- (* x (+ 32/3 (* -32/3 x))) 8))))
(.f64 x (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 #s(literal -8 binary64) (.f64 x (+.f64 #s(literal 32/3 binary64) (.f64 x #s(literal -32/3 binary64))))))))
(- 1 (exp (* -4 x)))
(-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))
(- 1 (exp (* -4 x)))
(-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))
(- 1 (exp (* -4 x)))
(-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))
(- 1 (exp (* -4 x)))
(-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))
(- 1 (exp (* -4 x)))
(-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))
(- 1 (exp (* -4 x)))
(-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))
(- 1 (exp (* -4 x)))
(-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))
(- 1 (exp (* -4 x)))
(-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))

eval198.0ms (2.1%)

Compiler: Compiled 28067 to 2405 computations (91.4% saved)

prune100.0ms (1.1%)

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	964	2	966
Fresh	0	3	3
Picked	2	3	5
Done	0	3	3
Total	966	11	977

Accuracy

100.0%

Counts

977 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	57.3%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (-.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))))))
✓	57.3%	(-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (-.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 #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)))))))
▶	27.1%	(-.f64 (/.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 #s(literal -2 binary64) x)))) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -4 binary64))))) #s(literal 1 binary64))
✓	57.3%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
▶	5.0%	(-.f64 (+.f64 x (+.f64 (.f64 (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64))) (.f64 x (*.f64 x x))) #s(literal 1 binary64))) #s(literal 1 binary64))
▶	5.8%	(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
✓	46.1%	(+.f64 (.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64))) x)
▶	46.2%	(.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)))))))
▶	47.6%	(.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))))))
✓	48.4%	x
✓	31.1%	#s(literal -1 binary64)

Compiler

Compiled 264 to 177 computations (33% saved)

simplify298.0ms (3.1%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))
✓	cost-diff	128	(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal -2 binary64) x))))
✓	cost-diff	256	(/.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 #s(literal -2 binary64) x)))) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -4 binary64)))))
✓	cost-diff	256	(-.f64 (/.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 #s(literal -2 binary64) x)))) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -4 binary64))))) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.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)))))
✓	cost-diff	0	(+.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))))))
✓	cost-diff	0	(.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)))))))
✓	cost-diff	0	(.f64 (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64))) (.f64 x (*.f64 x x)))
✓	cost-diff	0	(+.f64 (.f64 (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64))) (.f64 x (*.f64 x x))) #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 x (+.f64 (.f64 (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64))) (.f64 x (*.f64 x x))) #s(literal 1 binary64)))
✓	cost-diff	256	(-.f64 (+.f64 x (+.f64 (.f64 (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64))) (.f64 x (*.f64 x x))) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	256	(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64)))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64))))))

Rules

2710×	`-lowering-.f32`
2710×	`-lowering-.f64`
2596×	`+-lowering-+.f64`
2596×	`+-lowering-+.f32`
2326×	`--lowering--.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	41	275
1	123	251
2	342	247
3	2203	244
4	3025	242
5	6609	242
0	8278	242

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

Outputs
(* 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 (*.f64 x 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 (.f64 x x) #s(literal 2/15 binary64))))))
1
#s(literal 1 binary64)
(* (* x x) (+ -1/3 (* (* x x) 2/15)))
(.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64))))
(* x x)
(*.f64 x x)
(+ -1/3 (* (* x x) 2/15))
(+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64)))
-1/3
#s(literal -1/3 binary64)
(* (* x x) 2/15)
(.f64 (.f64 x x) #s(literal 2/15 binary64))
2/15
#s(literal 2/15 binary64)
(- (+ x 1) 1)
x
(+ x 1)
(+.f64 x #s(literal 1 binary64))
x
1
#s(literal 1 binary64)
(- (+ x (+ (* (+ -1/3 (* (* x x) 2/15)) (* x (* x x))) 1)) 1)
(.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 (+ (* (+ -1/3 (* (* x x) 2/15)) (* x (* x x))) 1))
(+.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))))))))
x
(+ (* (+ -1/3 (* (* x x) 2/15)) (* x (* x x))) 1)
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(* (+ -1/3 (* (* x x) 2/15)) (* x (* x x)))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64)))))
(+ -1/3 (* (* x x) 2/15))
(+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64)))
-1/3
#s(literal -1/3 binary64)
(* (* x x) 2/15)
(.f64 (.f64 x x) #s(literal 2/15 binary64))
(* x x)
(*.f64 x x)
2/15
#s(literal 2/15 binary64)
(* x (* x x))
(.f64 x (.f64 x x))
1
#s(literal 1 binary64)
(* x (+ 1 (* (* x x) (+ -1/3 (* (* x x) (- (* x (* x -17/315)) -2/15))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x #s(literal -17/315 binary64))))))))))
x
(+ 1 (* (* x x) (+ -1/3 (* (* x x) (- (* x (* x -17/315)) -2/15)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64)))))))))
1
#s(literal 1 binary64)
(* (* x x) (+ -1/3 (* (* x x) (- (* x (* x -17/315)) -2/15))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))))))
(* x x)
(*.f64 x x)
(+ -1/3 (* (* x x) (- (* x (* x -17/315)) -2/15)))
(+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64)))))))
-1/3
#s(literal -1/3 binary64)
(* (* x x) (- (* x (* x -17/315)) -2/15))
(.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))))
(- (* x (* x -17/315)) -2/15)
(+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))
(* x (* x -17/315))
(.f64 x (.f64 x #s(literal -17/315 binary64)))
(* x -17/315)
(*.f64 x #s(literal -17/315 binary64))
-17/315
#s(literal -17/315 binary64)
-2/15
#s(literal -2/15 binary64)
(- (/ (/ 2 (/ -1 (- (exp (* -2 x)) 1))) (- 1 (exp (* x -4)))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (expm1.f64 (.f64 x #s(literal -2 binary64)))) (expm1.f64 (*.f64 x #s(literal -4 binary64)))))
(/ (/ 2 (/ -1 (- (exp (* -2 x)) 1))) (- 1 (exp (* x -4))))
(/.f64 (.f64 #s(literal 2 binary64) (expm1.f64 (.f64 x #s(literal -2 binary64)))) (expm1.f64 (*.f64 x #s(literal -4 binary64))))
(/ 2 (/ -1 (- (exp (* -2 x)) 1)))
(.f64 #s(literal -2 binary64) (expm1.f64 (.f64 x #s(literal -2 binary64))))
2
#s(literal 2 binary64)
(/ -1 (- (exp (* -2 x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 x #s(literal -2 binary64))))
-1
#s(literal -1 binary64)
(- (exp (* -2 x)) 1)
(expm1.f64 (*.f64 x #s(literal -2 binary64)))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
-2
#s(literal -2 binary64)
x
(- 1 (exp (* x -4)))
(-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))
1
#s(literal 1 binary64)
(exp (* x -4))
(exp.f64 (*.f64 x #s(literal -4 binary64)))
(* x -4)
(*.f64 x #s(literal -4 binary64))
-4
#s(literal -4 binary64)

localize871.0ms (9.1%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 #s(literal -2 binary64) x)))) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -4 binary64)))))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal -2 binary64) x))))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))
✓	accuracy	100.0%	(-.f64 (/.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 #s(literal -2 binary64) x)))) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -4 binary64))))) #s(literal 1 binary64))
✓	accuracy	100.0%	(.f64 x (.f64 x #s(literal -17/315 binary64)))
✓	accuracy	100.0%	(.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)))))
✓	accuracy	99.9%	(.f64 (.f64 x x) (-.f64 (.f64 x (.f64 x #s(literal -17/315 binary64))) #s(literal -2/15 binary64)))
✓	accuracy	99.9%	(*.f64 x #s(literal -17/315 binary64))
✓	accuracy	100.0%	(+.f64 x (+.f64 (.f64 (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64))) (.f64 x (*.f64 x x))) #s(literal 1 binary64)))
✓	accuracy	100.0%	(.f64 (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64))) (.f64 x (*.f64 x x)))
✓	accuracy	100.0%	(.f64 (.f64 x x) #s(literal 2/15 binary64))
✓	accuracy	100.0%	(.f64 x (.f64 x x))
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64)))
✓	accuracy	100.0%	(.f64 (.f64 x x) #s(literal 2/15 binary64))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
✓	accuracy	99.9%	(.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64))))

Results

727.0ms	189×	5	exit
45.0ms	67×	0	valid

Compiler

Compiled 335 to 42 computations (87.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 591.0ms

ival-exp: 145.0ms (24.5% of total)

ival-mult: 127.0ms (21.5% of total)

backward-pass: 98.0ms (16.6% of total)

ival-add: 70.0ms (11.8% of total)

...c/correct-round.rkt:119:19: 41.0ms (6.9% of total)

compiled-spec: 39.0ms (6.6% of total)

ival-sub: 36.0ms (6.1% of total)

ival-div: 32.0ms (5.4% of total)

const: 4.0ms (0.7% of total)

series20.0ms (0.2%)

Counts

23 → 276

Calls

Call 1

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

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) (- (* 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 (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt x>
#<alt x>
#<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 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 1>
#<alt (+ 1 (* -1/3 (pow x 3)))>
#<alt (+ 1 (* (pow x 3) (- (* 2/15 (pow x 2)) 1/3)))>
#<alt (+ 1 (* (pow x 3) (- (* 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 5))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 2/15 (/ 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 5))))))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 5))))))>
#<alt (* -1/3 (pow x 3))>
#<alt (* (pow x 3) (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (* 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 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- 2/15 (* 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)))>
#<alt (* -1 (* (pow x 5) (- (* 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) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))>
#<alt (* -17/315 (pow x 7))>
#<alt (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* -17/315 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<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) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))>
#<alt (* -17/315 (pow x 6))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* -17/315 (pow x 6))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* -1/3 (pow x 2))>
#<alt (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))>
#<alt (* -17/315 (pow x 6))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* -17/315 (pow x 6))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<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 (/ (- (exp (* -2 x)) 1) (- 1 (exp (* -4 x))))) 1)>
#<alt (- (* -2 (/ (- (exp (* -2 x)) 1) (- 1 (exp (* -4 x))))) 1)>
#<alt (- (* -2 (/ (- (exp (* -2 x)) 1) (- 1 (exp (* -4 x))))) 1)>
#<alt (- (* -2 (/ (- (exp (* -2 x)) 1) (- 1 (exp (* -4 x))))) 1)>
#<alt (- (* -2 (/ (- (exp (* -2 x)) 1) (- 1 (exp (* -4 x))))) 1)>
#<alt (- (* -2 (/ (- (exp (* -2 x)) 1) (- 1 (exp (* -4 x))))) 1)>
#<alt (- (* -2 (/ (- (exp (* -2 x)) 1) (- 1 (exp (* -4 x))))) 1)>
#<alt (- (* -2 (/ (- (exp (* -2 x)) 1) (- 1 (exp (* -4 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 (/ (- (exp (* -2 x)) 1) (- 1 (exp (* -4 x)))))>
#<alt (* -2 (/ (- (exp (* -2 x)) 1) (- 1 (exp (* -4 x)))))>
#<alt (* -2 (/ (- (exp (* -2 x)) 1) (- 1 (exp (* -4 x)))))>
#<alt (* -2 (/ (- (exp (* -2 x)) 1) (- 1 (exp (* -4 x)))))>
#<alt (* -2 (/ (- (exp (* -2 x)) 1) (- 1 (exp (* -4 x)))))>
#<alt (* -2 (/ (- (exp (* -2 x)) 1) (- 1 (exp (* -4 x)))))>
#<alt (* -2 (/ (- (exp (* -2 x)) 1) (- 1 (exp (* -4 x)))))>
#<alt (* -2 (/ (- (exp (* -2 x)) 1) (- 1 (exp (* -4 x)))))>
#<alt (* 4 x)>
#<alt (* x (+ 4 (* -4 x)))>
#<alt (* x (+ 4 (* x (- (* 8/3 x) 4))))>
#<alt (* x (+ 4 (* x (- (* x (+ 8/3 (* -4/3 x))) 4))))>
#<alt (* -2 (- (exp (* -2 x)) 1))>
#<alt (* -2 (- (exp (* -2 x)) 1))>
#<alt (* -2 (- (exp (* -2 x)) 1))>
#<alt (* -2 (- (exp (* -2 x)) 1))>
#<alt (* -2 (- (exp (* -2 x)) 1))>
#<alt (* -2 (- (exp (* -2 x)) 1))>
#<alt (* -2 (- (exp (* -2 x)) 1))>
#<alt (* -2 (- (exp (* -2 x)) 1))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 1/2 x)) x)>
#<alt (/ (+ 1/2 (* x (+ 1/2 (* 1/6 x)))) x)>
#<alt (/ (+ 1/2 (* x (+ 1/2 (* x (+ 1/6 (* -1/90 (pow x 2))))))) x)>
#<alt (/ -1 (- (exp (* -2 x)) 1))>
#<alt (/ -1 (- (exp (* -2 x)) 1))>
#<alt (/ -1 (- (exp (* -2 x)) 1))>
#<alt (/ -1 (- (exp (* -2 x)) 1))>
#<alt (/ -1 (- (exp (* -2 x)) 1))>
#<alt (/ -1 (- (exp (* -2 x)) 1))>
#<alt (/ -1 (- (exp (* -2 x)) 1))>
#<alt (/ -1 (- (exp (* -2 x)) 1))>
#<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))>
#<alt -1/3>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (* 2/15 (pow x 2))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 2))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* 2/15 (pow x 2))>
#<alt (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))>
#<alt (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))>
#<alt (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))>
#<alt (* -17/315 (pow x 4))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* -17/315 (pow x 4))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>

Calls

69 calls:

Time	Variable		Point	Expression
8.0ms	x	@	inf	(* x (+ 1 (* (* x x) (+ -1/3 (* (* x x) (- (* x (* x -17/315)) -2/15))))))
1.0ms	x	@	inf	(- (/ (/ 2 (/ -1 (- (exp (* -2 x)) 1))) (- 1 (exp (* x -4)))) 1)
1.0ms	x	@	-inf	(- (/ (/ 2 (/ -1 (- (exp (* -2 x)) 1))) (- 1 (exp (* x -4)))) 1)
0.0ms	x	@	inf	(/ -1 (- (exp (* -2 x)) 1))
0.0ms	x	@	-inf	(/ -1 (- (exp (* -2 x)) 1))

rewrite315.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2978×	`fma-lowering-fma.f32`
2978×	`fma-lowering-fma.f64`
2638×	`-lowering-.f32`
2638×	`-lowering-.f64`
1656×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	207
1	282	185
2	2806	181
0	8498	181

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 507

Calls

Call 1

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

Outputs
(+.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x #s(literal 2/15 binary64)))))))
(+.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x #s(literal 2/15 binary64)))))) x)
(fma.f64 x #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x #s(literal 2/15 binary64)))))))
(fma.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64)))))) x)
(fma.f64 #s(literal 1 binary64) x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x #s(literal 2/15 binary64)))))))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x #s(literal 2/15 binary64)))))) x)
(fma.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64))))) x)
(fma.f64 (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64)))) (.f64 x (.f64 x x)) x)
(fma.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64)))))) x x)
(fma.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64)))) x)
(fma.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x #s(literal 2/15 binary64)))) #s(literal 1 binary64)) x)
(fma.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x #s(literal 2/15 binary64)))))) #s(literal 1 binary64) x)
(fma.f64 (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 2 binary64)))) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64)))))))
(fma.f64 (.f64 (+.f64 x #s(literal 2 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64)))))))
(fma.f64 (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64))))) (.f64 x x) x)
(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64)))))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64))))) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64))))))))))) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64))))) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64))))))))) (.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x #s(literal 2/15 binary64))))))))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64))))) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64)))))))))) (-.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x #s(literal 2/15 binary64))))))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64)))))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64))))) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64))))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64)))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64)))))) #s(literal 1 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64))))) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64)))))))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64))))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64)))))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64))))) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64)))))))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64)))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64)))))) #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64))))) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64))))))))) 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))))))))
(.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))))))))
(.f64 (+.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)
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64)))))))
(+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64)))))) #s(literal 1 binary64))
(+.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 2/15 binary64)))) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/3 binary64)))) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 2/15 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64)))))))) (/.f64 (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64))))) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64)))))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x #s(literal 2/15 binary64)))))))))
(fma.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x #s(literal 2/15 binary64))))) #s(literal 1 binary64))
(fma.f64 x (.f64 x #s(literal -1/3 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 2/15 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64)))))) #s(literal 1 binary64))
(fma.f64 (.f64 x x) #s(literal -1/3 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 2/15 binary64)))) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x #s(literal 2/15 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal -1/3 binary64) (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 2/15 binary64)))) #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64)))) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64)))))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x #s(literal 2/15 binary64))))) x #s(literal 1 binary64))
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(fma.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64))))) (.f64 x x) #s(literal 1 binary64))
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(*.f64 #s(literal -17/315 binary64) x)
(+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -17/315 binary64)))) (.f64 x (.f64 x #s(literal 2/15 binary64))))
(+.f64 (.f64 (.f64 x (.f64 x #s(literal -17/315 binary64))) (.f64 x x)) (.f64 x (.f64 x #s(literal 2/15 binary64))))
(fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -17/315 binary64))) (.f64 x (*.f64 x #s(literal 2/15 binary64))))
(fma.f64 (.f64 x (.f64 x #s(literal -17/315 binary64))) (.f64 x x) (.f64 x (*.f64 x #s(literal 2/15 binary64))))
(/.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -4913/31255875 binary64))) #s(literal 8/3375 binary64))) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 289/99225 binary64)) (+.f64 #s(literal 4/225 binary64) (.f64 (.f64 x x) #s(literal 34/4725 binary64)))))
(/.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 289/99225 binary64)) #s(literal -4/225 binary64))) (+.f64 (.f64 x (.f64 x #s(literal -17/315 binary64))) #s(literal -2/15 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -4913/31255875 binary64))) #s(literal 8/3375 binary64)) (.f64 x x)) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 289/99225 binary64)) (+.f64 #s(literal 4/225 binary64) (.f64 (.f64 x x) #s(literal 34/4725 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 289/99225 binary64)) #s(literal -4/225 binary64)) (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -17/315 binary64))) #s(literal -2/15 binary64)))
(.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))))
(.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64)))))
(.f64 (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64)))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))) x)
(.f64 x (.f64 x #s(literal -17/315 binary64)))
(.f64 (.f64 x x) #s(literal -17/315 binary64))
(.f64 #s(literal -17/315 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal -17/315 binary64)) x)

simplify331.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

3874×	`+-lowering-+.f64`
3874×	`+-lowering-+.f32`
3174×	`-lowering-.f32`
3174×	`-lowering-.f64`
1504×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	158	2241
1	437	1993
2	1184	1964
3	3562	1920
0	8421	1920

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 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)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
x
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)))
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)))
1
(+ 1 (* -1/3 (pow x 3)))
(+ 1 (* (pow x 3) (- (* 2/15 (pow x 2)) 1/3)))
(+ 1 (* (pow x 3) (- (* 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 5))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 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 5))))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 5))))))
(* -1/3 (pow x 3))
(* (pow x 3) (- (* 2/15 (pow x 2)) 1/3))
(* (pow x 3) (- (* 2/15 (pow x 2)) 1/3))
(* (pow x 3) (- (* 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 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- 2/15 (* 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 5) (- (* 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) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(* -17/315 (pow x 7))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 7))
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
1
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))
(* -17/315 (pow x 6))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 6))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -1/3 (pow x 2))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
(* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
(* -17/315 (pow x 6))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 6))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
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 (/ (- (exp (* -2 x)) 1) (- 1 (exp (* -4 x))))) 1)
(- (* -2 (/ (- (exp (* -2 x)) 1) (- 1 (exp (* -4 x))))) 1)
(- (* -2 (/ (- (exp (* -2 x)) 1) (- 1 (exp (* -4 x))))) 1)
(- (* -2 (/ (- (exp (* -2 x)) 1) (- 1 (exp (* -4 x))))) 1)
(- (* -2 (/ (- (exp (* -2 x)) 1) (- 1 (exp (* -4 x))))) 1)
(- (* -2 (/ (- (exp (* -2 x)) 1) (- 1 (exp (* -4 x))))) 1)
(- (* -2 (/ (- (exp (* -2 x)) 1) (- 1 (exp (* -4 x))))) 1)
(- (* -2 (/ (- (exp (* -2 x)) 1) (- 1 (exp (* -4 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 (/ (- (exp (* -2 x)) 1) (- 1 (exp (* -4 x)))))
(* -2 (/ (- (exp (* -2 x)) 1) (- 1 (exp (* -4 x)))))
(* -2 (/ (- (exp (* -2 x)) 1) (- 1 (exp (* -4 x)))))
(* -2 (/ (- (exp (* -2 x)) 1) (- 1 (exp (* -4 x)))))
(* -2 (/ (- (exp (* -2 x)) 1) (- 1 (exp (* -4 x)))))
(* -2 (/ (- (exp (* -2 x)) 1) (- 1 (exp (* -4 x)))))
(* -2 (/ (- (exp (* -2 x)) 1) (- 1 (exp (* -4 x)))))
(* -2 (/ (- (exp (* -2 x)) 1) (- 1 (exp (* -4 x)))))
(* 4 x)
(* x (+ 4 (* -4 x)))
(* x (+ 4 (* x (- (* 8/3 x) 4))))
(* x (+ 4 (* x (- (* x (+ 8/3 (* -4/3 x))) 4))))
(* -2 (- (exp (* -2 x)) 1))
(* -2 (- (exp (* -2 x)) 1))
(* -2 (- (exp (* -2 x)) 1))
(* -2 (- (exp (* -2 x)) 1))
(* -2 (- (exp (* -2 x)) 1))
(* -2 (- (exp (* -2 x)) 1))
(* -2 (- (exp (* -2 x)) 1))
(* -2 (- (exp (* -2 x)) 1))
(/ 1/2 x)
(/ (+ 1/2 (* 1/2 x)) x)
(/ (+ 1/2 (* x (+ 1/2 (* 1/6 x)))) x)
(/ (+ 1/2 (* x (+ 1/2 (* x (+ 1/6 (* -1/90 (pow x 2))))))) x)
(/ -1 (- (exp (* -2 x)) 1))
(/ -1 (- (exp (* -2 x)) 1))
(/ -1 (- (exp (* -2 x)) 1))
(/ -1 (- (exp (* -2 x)) 1))
(/ -1 (- (exp (* -2 x)) 1))
(/ -1 (- (exp (* -2 x)) 1))
(/ -1 (- (exp (* -2 x)) 1))
(/ -1 (- (exp (* -2 x)) 1))
(* 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))
-1/3
(- (* 2/15 (pow x 2)) 1/3)
(- (* 2/15 (pow x 2)) 1/3)
(- (* 2/15 (pow x 2)) 1/3)
(* 2/15 (pow x 2))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 2))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* 2/15 (pow x 2))
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))
(* -17/315 (pow x 4))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* -17/315 (pow x 4))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* x (+ 1 (* (pow x 2) (- (* 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 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (*.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 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (*.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 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (*.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 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (*.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 (* (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 (.f64 x x) (.f64 (.f64 x x) #s(literal 2/15 binary64)))
(* (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 (.f64 x x) (.f64 (.f64 x x) #s(literal 2/15 binary64)))
(* (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 #s(literal -1/3 binary64) (.f64 x x))
(* (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 (.f64 x x) (.f64 (.f64 x x) #s(literal 2/15 binary64)))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
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(- (* -2 (/ (- (exp (* -2 x)) 1) (- 1 (exp (* -4 x))))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal -2 binary64) (expm1.f64 (.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))))
(- (* -2 (/ (- (exp (* -2 x)) 1) (- 1 (exp (* -4 x))))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal -2 binary64) (expm1.f64 (.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))))
(- (* -2 (/ (- (exp (* -2 x)) 1) (- 1 (exp (* -4 x))))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal -2 binary64) (expm1.f64 (.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))))
(- (* -2 (/ (- (exp (* -2 x)) 1) (- 1 (exp (* -4 x))))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal -2 binary64) (expm1.f64 (.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))))
(- (* -2 (/ (- (exp (* -2 x)) 1) (- 1 (exp (* -4 x))))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal -2 binary64) (expm1.f64 (.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))))
(- (* -2 (/ (- (exp (* -2 x)) 1) (- 1 (exp (* -4 x))))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal -2 binary64) (expm1.f64 (.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))))
(- (* -2 (/ (- (exp (* -2 x)) 1) (- 1 (exp (* -4 x))))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal -2 binary64) (expm1.f64 (.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 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 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
(* -2 (/ (- (exp (* -2 x)) 1) (- 1 (exp (* -4 x)))))
(/.f64 (.f64 #s(literal -2 binary64) (expm1.f64 (.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))))
(* -2 (/ (- (exp (* -2 x)) 1) (- 1 (exp (* -4 x)))))
(/.f64 (.f64 #s(literal -2 binary64) (expm1.f64 (.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))))
(* -2 (/ (- (exp (* -2 x)) 1) (- 1 (exp (* -4 x)))))
(/.f64 (.f64 #s(literal -2 binary64) (expm1.f64 (.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))))
(* -2 (/ (- (exp (* -2 x)) 1) (- 1 (exp (* -4 x)))))
(/.f64 (.f64 #s(literal -2 binary64) (expm1.f64 (.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))))
(* -2 (/ (- (exp (* -2 x)) 1) (- 1 (exp (* -4 x)))))
(/.f64 (.f64 #s(literal -2 binary64) (expm1.f64 (.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))))
(* -2 (/ (- (exp (* -2 x)) 1) (- 1 (exp (* -4 x)))))
(/.f64 (.f64 #s(literal -2 binary64) (expm1.f64 (.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))))
(* -2 (/ (- (exp (* -2 x)) 1) (- 1 (exp (* -4 x)))))
(/.f64 (.f64 #s(literal -2 binary64) (expm1.f64 (.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))))
(* -2 (/ (- (exp (* -2 x)) 1) (- 1 (exp (* -4 x)))))
(/.f64 (.f64 #s(literal -2 binary64) (expm1.f64 (.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))))
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* x (+ 4 (* -4 x)))
(.f64 x (+.f64 #s(literal 4 binary64) (.f64 x #s(literal -4 binary64))))
(* x (+ 4 (* x (- (* 8/3 x) 4))))
(.f64 x (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal 8/3 binary64))))))
(* x (+ 4 (* x (- (* x (+ 8/3 (* -4/3 x))) 4))))
(.f64 x (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 #s(literal -4 binary64) (.f64 x (+.f64 #s(literal 8/3 binary64) (.f64 x #s(literal -4/3 binary64))))))))
(* -2 (- (exp (* -2 x)) 1))
(.f64 #s(literal -2 binary64) (expm1.f64 (.f64 x #s(literal -2 binary64))))
(* -2 (- (exp (* -2 x)) 1))
(.f64 #s(literal -2 binary64) (expm1.f64 (.f64 x #s(literal -2 binary64))))
(* -2 (- (exp (* -2 x)) 1))
(.f64 #s(literal -2 binary64) (expm1.f64 (.f64 x #s(literal -2 binary64))))
(* -2 (- (exp (* -2 x)) 1))
(.f64 #s(literal -2 binary64) (expm1.f64 (.f64 x #s(literal -2 binary64))))
(* -2 (- (exp (* -2 x)) 1))
(.f64 #s(literal -2 binary64) (expm1.f64 (.f64 x #s(literal -2 binary64))))
(* -2 (- (exp (* -2 x)) 1))
(.f64 #s(literal -2 binary64) (expm1.f64 (.f64 x #s(literal -2 binary64))))
(* -2 (- (exp (* -2 x)) 1))
(.f64 #s(literal -2 binary64) (expm1.f64 (.f64 x #s(literal -2 binary64))))
(* -2 (- (exp (* -2 x)) 1))
(.f64 #s(literal -2 binary64) (expm1.f64 (.f64 x #s(literal -2 binary64))))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/2 x)) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(/ (+ 1/2 (* x (+ 1/2 (* 1/6 x)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))) x)
(/ (+ 1/2 (* x (+ 1/2 (* x (+ 1/6 (* -1/90 (pow x 2))))))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/90 binary64))))))) x)
(/ -1 (- (exp (* -2 x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 x #s(literal -2 binary64))))
(/ -1 (- (exp (* -2 x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 x #s(literal -2 binary64))))
(/ -1 (- (exp (* -2 x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 x #s(literal -2 binary64))))
(/ -1 (- (exp (* -2 x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 x #s(literal -2 binary64))))
(/ -1 (- (exp (* -2 x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 x #s(literal -2 binary64))))
(/ -1 (- (exp (* -2 x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 x #s(literal -2 binary64))))
(/ -1 (- (exp (* -2 x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 x #s(literal -2 binary64))))
(/ -1 (- (exp (* -2 x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 x #s(literal -2 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))
(* 2/15 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/15 binary64))
-1/3
#s(literal -1/3 binary64)
(- (* 2/15 (pow x 2)) 1/3)
(+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64)))
(- (* 2/15 (pow x 2)) 1/3)
(+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64)))
(- (* 2/15 (pow x 2)) 1/3)
(+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64)))
(* 2/15 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/15 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64)))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64)))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64)))
(* 2/15 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/15 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64)))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64)))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64)))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* 2/15 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/15 binary64))
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64)))))
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64)))))
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64)))))
(* -17/315 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -17/315 binary64)))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))))
(* -17/315 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -17/315 binary64)))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))))
(* -17/315 (pow x 2))
(.f64 x (.f64 x #s(literal -17/315 binary64)))
(* -17/315 (pow x 2))
(.f64 x (.f64 x #s(literal -17/315 binary64)))
(* -17/315 (pow x 2))
(.f64 x (.f64 x #s(literal -17/315 binary64)))
(* -17/315 (pow x 2))
(.f64 x (.f64 x #s(literal -17/315 binary64)))
(* -17/315 (pow x 2))
(.f64 x (.f64 x #s(literal -17/315 binary64)))
(* -17/315 (pow x 2))
(.f64 x (.f64 x #s(literal -17/315 binary64)))
(* -17/315 (pow x 2))
(.f64 x (.f64 x #s(literal -17/315 binary64)))
(* -17/315 (pow x 2))
(.f64 x (.f64 x #s(literal -17/315 binary64)))
(* -17/315 (pow x 2))
(.f64 x (.f64 x #s(literal -17/315 binary64)))
(* -17/315 (pow x 2))
(.f64 x (.f64 x #s(literal -17/315 binary64)))
(* -17/315 (pow x 2))
(.f64 x (.f64 x #s(literal -17/315 binary64)))
(* -17/315 (pow x 2))
(.f64 x (.f64 x #s(literal -17/315 binary64)))

eval157.0ms (1.6%)

Compiler: Compiled 23101 to 2012 computations (91.3% saved)

prune126.0ms (1.3%)

Pruning

20 alts after pruning (9 fresh and 11 done)

	Pruned	Kept	Total
New	921	9	930
Fresh	0	0	0
Picked	0	5	5
Done	0	6	6
Total	921	20	941

Accuracy

100.0%

Counts

941 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.3%	(/.f64 (-.f64 (*.f64 x x) #s(literal 0 binary64)) x)
✓	57.3%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (-.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))))))
	15.4%	(/.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal 0 binary64)) (+.f64 (.f64 x x) (-.f64 #s(literal 0 binary64) (.f64 x #s(literal 0 binary64)))))
	45.8%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))))) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64)))))))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))))) #s(literal 1 binary64)))))
	48.1%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 2 binary64)) x)))
✓	57.3%	(-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (-.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 #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)))))))
✓	27.1%	(-.f64 (/.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 #s(literal -2 binary64) x)))) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -4 binary64))))) #s(literal 1 binary64))
✓	57.3%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
	4.6%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))) #s(literal 1 binary64))
✓	5.0%	(-.f64 (+.f64 x (+.f64 (.f64 (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64))) (.f64 x (*.f64 x x))) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	5.8%	(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
	4.6%	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
	4.7%	(-.f64 x #s(literal 1 binary64))
✓	46.1%	(+.f64 (.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64))) x)
	48.2%	(.f64 (.f64 (+.f64 x #s(literal 2 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))))
	46.8%	(.f64 x (+.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) (+.f64 (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 2/15 binary64)))) #s(literal 1 binary64))))
✓	46.2%	(.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)))))))
✓	47.6%	(.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))))))
✓	48.4%	x
✓	31.1%	#s(literal -1 binary64)

Compiler

Compiled 844 to 341 computations (59.6% saved)

regimes61.0ms (0.6%)

Counts

26 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
x
(-.f64 x #s(literal 1 binary64))
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 x x) #s(literal 0 binary64)) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(+.f64 (.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64))) x)
(-.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 #s(literal 2 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #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 (.f64 x 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 (.f64 x (.f64 x x)) #s(literal 0 binary64)) (+.f64 (.f64 x x) (-.f64 #s(literal 0 binary64) (.f64 x #s(literal 0 binary64)))))
(.f64 x (+.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) (+.f64 (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 2/15 binary64)))) #s(literal 1 binary64))))
(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64))))))) #s(literal 1 binary64))
(-.f64 (+.f64 x (+.f64 (.f64 (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64))) (.f64 x (*.f64 x x))) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x 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)))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))))) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64)))))))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 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 1 binary64))
(-.f64 (/.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 #s(literal -2 binary64) x)))) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -4 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -4 binary64))))) (/.f64 #s(literal 1 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 4 binary64) (pow.f64 (-.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 (/.f64 #s(literal 4 binary64) (pow.f64 (-.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 #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)))))))

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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (-.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))))))

Calls

7 calls:

13.0ms	x
8.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
8.0ms	y
8.0ms	(*.f64 #s(literal -2 binary64) x)
7.0ms	(exp.f64 (*.f64 #s(literal -2 binary64) x))

Results

Accuracy	Segments	Branch
100.0%	3	`x`
59.2%	2	`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)

regimes59.0ms (0.6%)

Counts

24 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
x
(-.f64 x #s(literal 1 binary64))
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 x x) #s(literal 0 binary64)) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(+.f64 (.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64))) x)
(-.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 #s(literal 2 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #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 (.f64 x 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 (.f64 x (.f64 x x)) #s(literal 0 binary64)) (+.f64 (.f64 x x) (-.f64 #s(literal 0 binary64) (.f64 x #s(literal 0 binary64)))))
(.f64 x (+.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) (+.f64 (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 2/15 binary64)))) #s(literal 1 binary64))))
(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64))))))) #s(literal 1 binary64))
(-.f64 (+.f64 x (+.f64 (.f64 (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64))) (.f64 x (*.f64 x x))) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x 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)))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))))) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64)))))))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 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 1 binary64))
(-.f64 (/.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 #s(literal -2 binary64) x)))) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -4 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -4 binary64))))) (/.f64 #s(literal 1 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 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))))))) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 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 1 binary64))

Calls

6 calls:

20.0ms	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
10.0ms	x
7.0ms	(*.f64 #s(literal -2 binary64) x)
6.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
6.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))

Results

Accuracy	Segments	Branch
100.0%	3	`x`
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 44 to 37 computations (15.9% saved)

regimes10.0ms (0.1%)

Counts

21 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
x
(-.f64 x #s(literal 1 binary64))
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 x x) #s(literal 0 binary64)) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(+.f64 (.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64))) x)
(-.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 #s(literal 2 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #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 (.f64 x 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 (.f64 x (.f64 x x)) #s(literal 0 binary64)) (+.f64 (.f64 x x) (-.f64 #s(literal 0 binary64) (.f64 x #s(literal 0 binary64)))))
(.f64 x (+.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) (+.f64 (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 2/15 binary64)))) #s(literal 1 binary64))))
(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64))))))) #s(literal 1 binary64))
(-.f64 (+.f64 x (+.f64 (.f64 (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64))) (.f64 x (*.f64 x x))) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x 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)))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))))) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64)))))))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))))) #s(literal 1 binary64)))))

Outputs
#s(literal -1 binary64)
x

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
75.8%	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
31.1%	1	`y`
31.1%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.364933120130203e-11	0.04278545871231291
0.0ms	-11690017.572037507	-9.716102203022635e-22

Compiler

Compiled 17 to 14 computations (17.6% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.04278545871231291	1.9320934430460333
0.0ms	-11690017.572037507	-9.716102203022635e-22

Compiler

Compiled 17 to 14 computations (17.6% saved)

bsearch14.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	-64.1603738376385	-0.9660467215230166

Results

9.0ms

112×

valid

Compiler

Compiled 73 to 63 computations (13.7% saved)

Precisions

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

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

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

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

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

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

const: 0.0ms (0% of total)

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

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

38×	`+-commutative_binary64`
32×	`*-commutative_binary64`
26×	`sub-neg_binary64`
16×	`neg-sub0_binary64`
16×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	173
1	75	173
2	96	173
3	118	173
4	129	173
5	133	173

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -10000000 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 7737125245533627/77371252455336267181195264 binary64)) x (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (-.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))))))))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -10000000 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 3602879701896397/72057594037927936 binary64)) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))))) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64)))))))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 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 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 -10000000 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 7737125245533627/77371252455336267181195264 binary64)) x (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (-.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))))))))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -10000000 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 7737125245533627/77371252455336267181195264 binary64)) x (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (-.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))))))))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -10000000 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 3602879701896397/72057594037927936 binary64)) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))))) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64)))))))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 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 1 binary64))))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -10000000 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 3602879701896397/72057594037927936 binary64)) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))))) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 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 x #s(literal -1 binary64)) #s(literal -1 binary64) x)
#s(literal -1 binary64)

soundness1.4s (14.5%)

Rules

4254×	`-lowering-.f32`
4254×	`-lowering-.f64`
3016×	`-lowering-.f32`
3016×	`-lowering-.f64`
2978×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	207
1	282	185
2	2806	181
0	8498	181
0	49	387
1	130	362
2	309	359
3	828	359
4	1912	359
5	2759	359
6	3227	359
7	3978	359
8	6714	359
0	8094	359
0	9	31
1	48	31
2	387	31
3	6241	31
0	8361	31
0	264	2242
1	758	2000
2	2227	1963
3	7054	1963
0	8509	1963

Stop Event

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

Compiler

Compiled 232 to 87 computations (62.5% saved)

preprocess56.0ms (0.6%)

Remove: (abs y)
Compiler: Compiled 488 to 168 computations (65.6% saved)

analyze0.0ms (0%)

sample1.5s (15.7%)

preprocess45.0ms (0.5%)

explain159.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize78.0ms (0.8%)

series6.0ms (0.1%)

rewrite277.0ms (2.9%)

simplify246.0ms (2.6%)

eval33.0ms (0.3%)

prune52.0ms (0.5%)

simplify172.0ms (1.8%)

localize310.0ms (3.2%)

series33.0ms (0.3%)

rewrite350.0ms (3.7%)

simplify288.0ms (3%)

eval92.0ms (1%)

prune89.0ms (0.9%)

simplify192.0ms (2%)

localize588.0ms (6.2%)

series19.0ms (0.2%)

rewrite717.0ms (7.5%)

simplify287.0ms (3%)

eval198.0ms (2.1%)

prune100.0ms (1.1%)

simplify298.0ms (3.1%)

localize871.0ms (9.1%)

series20.0ms (0.2%)

rewrite315.0ms (3.3%)

simplify331.0ms (3.5%)

eval157.0ms (1.6%)

prune126.0ms (1.3%)

regimes61.0ms (0.6%)

regimes59.0ms (0.6%)

regimes10.0ms (0.1%)

regimes3.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch14.0ms (0.1%)

simplify12.0ms (0.1%)

soundness1.4s (14.5%)

preprocess56.0ms (0.6%)

end0.0ms (0%)

Profiling