Metrics for Logistic function from Lakshay Garg

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample1.6s (23.7%)

Memory

23.8MiB live, 1 389.2MiB allocated; 312ms collecting garbage

Samples

568.0ms	1 679×	2	valid
428.0ms	2 429×	1	valid
269.0ms	4 148×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.0s

ival-exp: 403.0ms (39.9% of total)

adjust: 161.0ms (15.9% of total)

ival-div: 159.0ms (15.7% of total)

ival-mult: 115.0ms (11.4% of total)

ival-add: 85.0ms (8.4% of total)

ival-sub: 66.0ms (6.5% of total)

exact: 11.0ms (1.1% of total)

ival-true: 7.0ms (0.7% of total)

ival-assert: 4.0ms (0.4% of total)

Bogosity

explain219.0ms (3.3%)

Memory

40.0MiB live, 274.2MiB allocated; 30ms collecting garbage

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`	cancellation	131	1

Confusion

	Predicted +	Predicted -
+	131	0
-	0	125

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	131	0	0
-	0	1	124

Precision?

0.9924242424242424

Recall?

1.0

Freqs

test

number	freq
0	125
1	131

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

32.0ms	102×	2	valid
26.0ms	158×	1	valid
22.0ms	252×	0	valid

Compiler

Compiled 84 to 31 computations (63.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-exp: 27.0ms (45.1% of total)

adjust: 10.0ms (16.7% of total)

ival-add: 7.0ms (11.7% of total)

ival-div: 6.0ms (10% of total)

ival-sub: 4.0ms (6.7% of total)

ival-mult: 4.0ms (6.7% of total)

ival-true: 1.0ms (1.7% of total)

exact: 1.0ms (1.7% of total)

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

preprocess256.0ms (3.8%)

Memory

-51.5MiB live, 192.2MiB allocated; 91ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	23	21
2	54	21
3	168	21
4	720	20
0	9	10
0	14	10
1	24	10
2	46	10
3	114	10
4	498	10
5	5298	10
0	8379	10

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 10 to 9 computations (10% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.7%	(-.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 10 to 9 computations (10% saved)

simplify161.0ms (2.4%)

Memory

-17.8MiB live, 168.5MiB allocated; 23ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	35
0	14	35
1	24	35
2	46	35
3	114	35
4	498	35
5	5298	35
0	8379	35

Stop Event

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

Calls

Call 1

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

localize46.0ms (0.7%)

Memory

24.0MiB live, 71.0MiB allocated; 2ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 (*.f64 #s(literal -2 binary64) x))
accuracy	0.0078125	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
accuracy	0.0078125	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
accuracy	30.20674971259159	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))

Samples

16.0ms	51×	2	valid
13.0ms	79×	1	valid
7.0ms	126×	0	valid

Compiler

Compiled 37 to 11 computations (70.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-exp: 12.0ms (45.4% of total)

adjust: 5.0ms (18.9% of total)

ival-div: 3.0ms (11.4% of total)

ival-sub: 2.0ms (7.6% of total)

ival-add: 2.0ms (7.6% of total)

ival-mult: 2.0ms (7.6% of total)

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

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

exact: 0.0ms (0% of total)

series53.0ms (0.8%)

Memory

-41.9MiB live, 4.5MiB allocated; 7ms collecting garbage

Counts

4 → 19

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
51.0ms	x	@	-inf	((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (exp (* -2 x)))
1.0ms	x	@	inf	((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (exp (* -2 x)))
1.0ms	x	@	0	((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (exp (* -2 x)))

Time

Variable

Point

Expression

51.0ms

-inf

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

1.0ms

inf

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

1.0ms

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

simplify177.0ms (2.6%)

Memory

64.1MiB live, 219.4MiB allocated; 57ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	161
1	146	161
2	444	151
3	1675	151
4	6975	151
0	8507	130

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 18

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

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

rewrite187.0ms (2.8%)

Memory

10.5MiB live, 208.6MiB allocated; 54ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
0	14	28
1	51	28
0	398	28

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

4 → 54

Calls

Call 1

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

Outputs
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) x)))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (fma.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (expm1.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) x)))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
(.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (fma.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (expm1.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -2 binary64) (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))))
(neg.f64 (/.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))))
(/.f64 (expm1.f64 (.f64 (.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) (expm1.f64 (*.f64 x #s(literal -2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (expm1.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
(/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (expm1.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
(-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 (.f64 x #s(literal -2 binary64)))) (sinh.f64 (.f64 x #s(literal -2 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (expm1.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (expm1.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))
(+.f64 (cosh.f64 (.f64 x #s(literal -2 binary64))) (+.f64 (sinh.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(pow.f64 (exp.f64 #s(literal -2 binary64)) x)
(/.f64 (-.f64 (.f64 (cosh.f64 (.f64 x #s(literal -2 binary64))) (cosh.f64 (.f64 x #s(literal -2 binary64)))) (.f64 (sinh.f64 (.f64 x #s(literal -2 binary64))) (sinh.f64 (.f64 x #s(literal -2 binary64))))) (-.f64 (cosh.f64 (.f64 x #s(literal -2 binary64))) (sinh.f64 (.f64 x #s(literal -2 binary64)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 x #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (.f64 x #s(literal -2 binary64))) (cosh.f64 (.f64 x #s(literal -2 binary64))) (-.f64 (.f64 (sinh.f64 (.f64 x #s(literal -2 binary64))) (sinh.f64 (.f64 x #s(literal -2 binary64)))) (.f64 (cosh.f64 (.f64 x #s(literal -2 binary64))) (sinh.f64 (.f64 x #s(literal -2 binary64)))))))
(fma.f64 (cosh.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64) (.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 (.f64 x #s(literal -2 binary64))) (.f64 #s(literal 1 binary64) (sinh.f64 (*.f64 x #s(literal -2 binary64)))))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 x #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -2 binary64))) x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(+.f64 (.f64 (cosh.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) (.f64 (sinh.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (cosh.f64 (.f64 x #s(literal -2 binary64)))) (.f64 #s(literal 1 binary64) (sinh.f64 (.f64 x #s(literal -2 binary64)))))
(+.f64 (sinh.f64 (.f64 x #s(literal -2 binary64))) (cosh.f64 (.f64 x #s(literal -2 binary64))))
(+.f64 (cosh.f64 (.f64 x #s(literal -2 binary64))) (sinh.f64 (.f64 x #s(literal -2 binary64))))

eval74.0ms (1.1%)

Memory: -28.0MiB live, 80.3MiB allocated; 61ms collecting garbage
Compiler: Compiled 1 331 to 289 computations (78.3% saved)

prune35.0ms (0.5%)

Memory

-26.6MiB live, 20.7MiB allocated; 2ms collecting garbage

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	64	8	72
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	64	9	73

Accuracy

100.0%

Counts

73 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.7%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
	29.8%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* -2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 1 binary64))))) #s(literal 1 binary64))
▶	29.8%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
	29.6%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
▶	29.1%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
	6.7%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
▶	4.4%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	53.3%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x))
▶	51.8%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))

Compiler

Compiled 290 to 235 computations (19% saved)

simplify142.0ms (2.1%)

Memory

24.5MiB live, 163.0MiB allocated; 17ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	231
0	52	231
1	88	231
2	260	231
3	1115	231
4	3884	231
0	8757	231

Stop Event

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

Calls

Call 1

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

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

localize187.0ms (2.8%)

Memory

-17.1MiB live, 224.1MiB allocated; 20ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 x #s(literal 3 binary64))
accuracy	0.0390625	(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
accuracy	30.849567602953353	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
accuracy	0.04296875	(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))
accuracy	0.18359375	(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
accuracy	19.488913794582043	#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))
accuracy	30.20674971259159	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
accuracy	0.0	(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
accuracy	0.0078125	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))
accuracy	30.20674971259159	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
accuracy	30.299421287294912	#s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))
accuracy	28.358448550911525	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64))
accuracy	30.20674971259159	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.056972509768442016	(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)
accuracy	0.078125	(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
accuracy	29.9187668564551	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x))

Samples

66.0ms	51×	2	valid
41.0ms	79×	1	valid
29.0ms	126×	0	valid

Compiler

Compiled 173 to 30 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 113.0ms

adjust: 48.0ms (42.5% of total)

const: 16.0ms (14.2% of total)

ival-mult: 14.0ms (12.4% of total)

ival-exp: 12.0ms (10.6% of total)

ival-add: 12.0ms (10.6% of total)

ival-pow: 4.0ms (3.5% of total)

ival-div: 3.0ms (2.7% of total)

ival-sub: 2.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory

17.3MiB live, 17.3MiB allocated; 0ms collecting garbage

Counts

18 → 43

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 3) (+ (* 2/15 (* x x)) -1/3)) x) (pow x 3) (+ (* 2/15 (* x x)) -1/3) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 3) -1/3) x) (* x x) (+ (* -4/3 x) 2))
3.0ms	x	@	inf	((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 3) (+ (* 2/15 (* x x)) -1/3)) x) (pow x 3) (+ (* 2/15 (* x x)) -1/3) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 3) -1/3) x) (* x x) (+ (* -4/3 x) 2))
2.0ms	x	@	0	((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 3) (+ (* 2/15 (* x x)) -1/3)) x) (pow x 3) (+ (* 2/15 (* x x)) -1/3) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 3) -1/3) x) (* x x) (+ (* -4/3 x) 2))

Time

Variable

Point

Expression

3.0ms

-inf

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

3.0ms

inf

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

2.0ms

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

simplify163.0ms (2.4%)

Memory

33.3MiB live, 216.1MiB allocated; 26ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	112	386
1	316	369
2	1188	365
3	5097	363
0	8175	346

Stop Event

1×	iter limit
1×	node limit

Counts

43 → 42

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

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
-1/3
#s(literal -1/3 binary64)
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (-.f64 x #s(literal -1 binary64)))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(-.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) #s(literal -1 binary64))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
(+ 2 (* -4/3 x))
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(* 2/15 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/15 binary64)) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* 2/15 (pow x 2))
(.f64 #s(literal 2/15 binary64) (.f64 x x))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) x)
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)))
(+ 1 (exp (* -2 x)))
(-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* x (- (* 2 (/ 1 x)) 2))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)
(* -4/3 (pow x 3))
(*.f64 #s(literal -4/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* 2 (/ 1 x)) 4/3))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4/3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 4/3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x) #s(literal 4/3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1/3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -4/3 x)
(*.f64 #s(literal -4/3 binary64) x)
(* x (- (* 2 (/ 1 x)) 4/3))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4/3 binary64)) x)
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 2/15 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 2/15 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)
(* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x)))))
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -4/3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -4/3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x) #s(literal -4/3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(* -1 (* x (- 4/3 (* 2 (/ 1 x)))))
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -4/3 binary64)) x)

rewrite162.0ms (2.4%)

Memory

-35.4MiB live, 159.3MiB allocated; 59ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	204
0	52	204
1	237	204
0	1987	204

Stop Event

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

Counts

18 → 208

Calls

Call 1

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

Outputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
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(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) x)
(fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x x)
(fma.f64 (.f64 #s(literal -1/3 binary64) x) (.f64 x x) x)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/3 binary64)) x)
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x)
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x)) (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x)))
(-.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(-.f64 x (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/3 binary64)))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x)
(+.f64 x (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) x)
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 x (neg.f64 x)))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 16/9 binary64) (.f64 x x))) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -4/3 binary64) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 16/9 binary64) (.f64 x x) #s(literal -4 binary64))) (neg.f64 (-.f64 (.f64 #s(literal -4/3 binary64) x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (fma.f64 #s(literal 16/9 binary64) (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x #s(literal -8/3 binary64))))))
(/.f64 (fma.f64 #s(literal 16/9 binary64) (.f64 x x) #s(literal -4 binary64)) (-.f64 (.f64 #s(literal -4/3 binary64) x) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 #s(literal 16/9 binary64) (.f64 x x)) (*.f64 x #s(literal -8/3 binary64)))))
(/.f64 (fma.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 #s(literal 16/9 binary64) (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x #s(literal -8/3 binary64)))))
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
(fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))
(-.f64 (/.f64 (.f64 #s(literal 16/9 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -4/3 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (.f64 #s(literal -4/3 binary64) x) #s(literal 2 binary64))))
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal 4/3 binary64) x))
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) #s(literal -4/3 binary64)))
(+.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (/.f64 (.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 16/9 binary64) (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x #s(literal -8/3 binary64))))) (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 16/9 binary64) (.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -8/3 binary64))))))
(+.f64 (*.f64 #s(literal -4/3 binary64) x) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) x)))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -4/3 binary64) x))

eval34.0ms (0.5%)

Memory: 35.8MiB live, 79.6MiB allocated; 6ms collecting garbage
Compiler: Compiled 7 460 to 1 064 computations (85.7% saved)

prune19.0ms (0.3%)

Memory

-24.2MiB live, 32.6MiB allocated; 11ms collecting garbage

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	257	5	262
Fresh	2	1	3
Picked	3	2	5
Done	0	1	1
Total	262	9	271

Accuracy

100.0%

Counts

271 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.7%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
	29.5%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
▶	29.6%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
✓	29.1%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
▶	26.2%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
▶	6.7%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
✓	4.4%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	53.3%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
▶	51.8%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))

Compiler

Compiled 279 to 221 computations (20.8% saved)

simplify226.0ms (3.3%)

Memory

-18.5MiB live, 212.4MiB allocated; 52ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64))
cost-diff	0	#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64))))
cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))
cost-diff	0	#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))
cost-diff	0	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))))
cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)
cost-diff	0	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
cost-diff	2	(.f64 (.f64 x x) x)
cost-diff	0	(-.f64 x #s(literal -1 binary64))
cost-diff	0	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64)))
cost-diff	0	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x))
cost-diff	0	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
cost-diff	2	(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	261
0	54	261
1	90	253
2	243	253
3	930	253
4	3875	253
0	8051	247

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x)
(.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x))
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(*.f64 x x)
x
#s(literal 2/15 binary64)
#s(literal -1/3 binary64)
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
#s(literal 1 binary64)
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)
(.f64 (.f64 x x) x)
(*.f64 x x)
x
#s(literal -1/3 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))
#s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))
(*.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64)))
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64))
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))
x
#s(literal -2 binary64)
#s(literal 1 binary64)

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

localize179.0ms (2.7%)

Memory

31.1MiB live, 316.0MiB allocated; 20ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64))
accuracy	0.0078125	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64))))
accuracy	22.290785313839823	#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64)))
accuracy	30.20674971259159	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
accuracy	0.0078125	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))))
accuracy	30.20674971259159	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
accuracy	30.299421287294912	#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))
accuracy	32.47120864334913	#s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))
accuracy	0.0	(*.f64 x x)
accuracy	0.0390625	(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)
accuracy	0.09375	(.f64 (.f64 x x) x)
accuracy	30.849567602953353	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
accuracy	0.0	(-.f64 x #s(literal -1 binary64))
accuracy	29.95999858395658	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64)))
accuracy	30.20674971259159	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
accuracy	0.0234375	(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x)
accuracy	0.078125	(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
accuracy	0.15234375	(.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x))
accuracy	29.9187668564551	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x))

Samples

56.0ms	51×	2	valid
38.0ms	79×	1	valid
26.0ms	126×	0	valid

Compiler

Compiled 182 to 30 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-add: 26.0ms (28.1% of total)

adjust: 19.0ms (20.5% of total)

ival-mult: 18.0ms (19.5% of total)

ival-exp: 14.0ms (15.1% of total)

const: 8.0ms (8.6% of total)

ival-div: 3.0ms (3.2% of total)

ival-sub: 3.0ms (3.2% of total)

exact: 1.0ms (1.1% of total)

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

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

series8.0ms (0.1%)

Memory

15.8MiB live, 15.8MiB allocated; 0ms collecting garbage

Counts

19 → 41

Calls

Call 1

Inputs
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x)
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
(.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x))
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
(.f64 (.f64 x x) x)
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)
(*.f64 x x)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))))
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))
#s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64))))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64)))
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64))

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

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

inf

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

2.0ms

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

2.0ms

-inf

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

simplify167.0ms (2.5%)

Memory

1.7MiB live, 195.1MiB allocated; 31ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	325
1	265	313
2	881	311
3	3874	311
0	8720	284

Stop Event

1×	iter limit
1×	node limit

Counts

41 → 40

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

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
(* -1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(.f64 (.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) x)
-1/3
#s(literal -1/3 binary64)
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (-.f64 x #s(literal -1 binary64)))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(-.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) #s(literal -1 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 2)
(*.f64 x x)
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(* 2/15 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/15 binary64)) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(* 2/15 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/15 binary64))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))
(* 2/15 (pow x 2))
(.f64 #s(literal 2/15 binary64) (.f64 x x))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)))
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* -1/3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(+ 1 (exp (* -2 x)))
(-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* x (- (* 2 (/ 1 x)) 2))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 (.f64 #s(literal 2 binary64) x) x)
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 2/15 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 2/15 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))

rewrite102.0ms (1.5%)

Memory

-30.6MiB live, 116.6MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	235
0	54	227
1	234	227
0	1938	221

Stop Event

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

Counts

19 → 191

Calls

Call 1

Inputs
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x)
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
(.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x))
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
(.f64 (.f64 x x) x)
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)
(*.f64 x x)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))))
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))
#s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64))))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64)))
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64))

Outputs
(.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64))) #s(literal 2 binary64))) (-.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64))) #s(literal 2 binary64)) (.f64 x x))) (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)))) (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64))) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) x))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64))) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)))) (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64))) #s(literal 2 binary64))))
(fma.f64 (.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)) x) (*.f64 x x) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)
(fma.f64 (.f64 (.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) x) x x)
(fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) x)
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(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (.f64 #s(literal -2 binary64) x)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) #s(approx (+ (* -2 x) 2) (.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64))))
(fma.f64 (.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) #s(approx (+ (* -2 x) 2) (.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (.f64 #s(literal -2 binary64) x)))) #s(literal 3 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) #s(approx (+ (* -2 x) 2) (.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) #s(approx (+ (* -2 x) 2) (.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) #s(approx (+ (* -2 x) 2) (.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
(.f64 (.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)) #s(literal -1 binary64))
(.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))))
(/.f64 #s(literal -2 binary64) (neg.f64 #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))))
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x))))
(neg.f64 (/.f64 #s(literal -2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))))
(neg.f64 (/.f64 #s(literal 2 binary64) (neg.f64 #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x))))))
(+.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (.f64 #s(literal -2 binary64) x)))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp ( -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))))
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))
#s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 2 binary64))))
(fma.f64 (.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 3 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal -1 binary64))
(.f64 (.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64))
(.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))))
(/.f64 #s(literal -2 binary64) (neg.f64 #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))))
(neg.f64 (/.f64 #s(literal -2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))))
(neg.f64 (/.f64 #s(literal 2 binary64) (neg.f64 #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))))))
(+.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64))) (neg.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(fma.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal 2 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64))))
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))) x))
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))))
(+.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)) (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64)))) (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64)))))
(+.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)))
(+.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x))

eval34.0ms (0.5%)

Memory: 16.1MiB live, 60.3MiB allocated; 8ms collecting garbage
Compiler: Compiled 7 302 to 954 computations (86.9% saved)

prune26.0ms (0.4%)

Memory

-27.6MiB live, 23.5MiB allocated; 6ms collecting garbage

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	254	3	257
Fresh	0	1	1
Picked	1	4	5
Done	0	3	3
Total	255	11	266

Accuracy

100.0%

Counts

266 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.7%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
▶	29.5%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
✓	29.1%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
▶	26.4%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64))
▶	26.8%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (.f64 (.f64 #s(literal 2 binary64) x) x)))) #s(literal 1 binary64))
✓	26.2%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
▶	6.5%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))
✓	6.7%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
✓	4.4%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	53.3%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
✓	51.8%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))

Compiler

Compiled 212 to 167 computations (21.2% saved)

simplify125.0ms (1.9%)

Memory

14.6MiB live, 142.0MiB allocated; 27ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x #s(literal 2 binary64))
cost-diff	0	#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x #s(literal 2 binary64))))
cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x))
cost-diff	0	#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)))
cost-diff	0	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x))))
cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (* (+ (* x 2) -2) x) 2) (.f64 (.f64 #s(literal 2 binary64) x) x))
cost-diff	0	#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (.f64 (.f64 #s(literal 2 binary64) x) x)))
cost-diff	0	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (.f64 (.f64 #s(literal 2 binary64) x) x))))
cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (.f64 (.f64 #s(literal 2 binary64) x) x)))) #s(literal 1 binary64))
cost-diff	0	(fma.f64 x x #s(literal -1 binary64))
cost-diff	0	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) x)))
cost-diff	0	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))
cost-diff	5	(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	373
0	60	365
1	97	365
2	222	365
3	696	350
4	2843	350
0	8441	336

Stop Event

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

Calls

Call 1

Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) x)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) x))
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(+.f64 #s(literal -1 binary64) x)
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (.f64 (.f64 #s(literal 2 binary64) x) x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (.f64 (.f64 #s(literal 2 binary64) x) x))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (.f64 (.f64 #s(literal 2 binary64) x) x)))
#s(approx (+ (* (+ (* x 2) -2) x) 2) (.f64 (.f64 #s(literal 2 binary64) x) x))
(.f64 (.f64 #s(literal 2 binary64) x) x)
(*.f64 #s(literal 2 binary64) x)
x
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)))
#s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x))
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)
(fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))
x
#s(literal -2 binary64)
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(fma.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64))
#s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x))
(*.f64 #s(literal -4/3 binary64) x)
#s(literal -4/3 binary64)
x
#s(literal -2 binary64)
#s(literal 1 binary64)

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

localize162.0ms (2.4%)

Memory

31.3MiB live, 226.9MiB allocated; 31ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.38671875	(*.f64 #s(literal -4/3 binary64) x)
accuracy	19.488913794582043	#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))
accuracy	30.20674971259159	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
accuracy	32.49226067714167	#s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x))
accuracy	0.015625	(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)
accuracy	22.290785313839823	#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)))
accuracy	30.20674971259159	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64))
accuracy	31.983192874549463	#s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x))
accuracy	0.0078125	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (.f64 (.f64 #s(literal 2 binary64) x) x))))
accuracy	22.290785313839823	#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (.f64 (.f64 #s(literal 2 binary64) x) x)))
accuracy	30.20674971259159	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (.f64 (.f64 #s(literal 2 binary64) x) x)))) #s(literal 1 binary64))
accuracy	32.3264410482858	#s(approx (+ (* (+ (* x 2) -2) x) 2) (.f64 (.f64 #s(literal 2 binary64) x) x))
accuracy	0.0	(+.f64 #s(literal -1 binary64) x)
accuracy	14.001346575929572	(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) x))
accuracy	29.95999858395658	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) x)))
accuracy	30.20674971259159	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))

Samples

43.0ms	125×	0	valid
41.0ms	80×	1	valid
35.0ms	51×	2	valid

Compiler

Compiled 192 to 31 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-mult: 33.0ms (36.2% of total)

adjust: 21.0ms (23% of total)

ival-add: 14.0ms (15.3% of total)

ival-exp: 12.0ms (13.2% of total)

ival-div: 5.0ms (5.5% of total)

const: 4.0ms (4.4% of total)

ival-sub: 2.0ms (2.2% of total)

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

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

exact: 0.0ms (0% of total)

series65.0ms (1%)

Memory

-44.0MiB live, 15.9MiB allocated; 66ms collecting garbage

Counts

20 → 40

Calls

Call 1

Inputs
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) x)))
(fma.f64 x x #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (.f64 (.f64 #s(literal 2 binary64) x) x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (.f64 (.f64 #s(literal 2 binary64) x) x))))
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (.f64 (.f64 #s(literal 2 binary64) x) x)))
#s(approx (+ (* (+ (* x 2) -2) x) 2) (.f64 (.f64 #s(literal 2 binary64) x) x))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x))))
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)))
#s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x #s(literal 2 binary64))))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(+.f64 #s(literal -1 binary64) x)
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)
#s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x))
(*.f64 #s(literal -4/3 binary64) x)

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

Calls

3 calls:

Time

Variable

Point

Expression

61.0ms

inf

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

2.0ms

-inf

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

1.0ms

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

simplify275.0ms (4.1%)

Memory

51.2MiB live, 328.3MiB allocated; 41ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	100	331
1	295	314
2	1141	298
3	5489	295
0	8239	266

Stop Event

1×	iter limit
1×	node limit

Counts

40 → 39

Calls

Call 1

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

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

rewrite82.0ms (1.2%)

Memory

-10.1MiB live, 139.6MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	334
0	60	326
1	255	311
0	1962	298

Stop Event

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

Counts

20 → 181

Calls

Call 1

Inputs
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) x)))
(fma.f64 x x #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (.f64 (.f64 #s(literal 2 binary64) x) x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (.f64 (.f64 #s(literal 2 binary64) x) x))))
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (.f64 (.f64 #s(literal 2 binary64) x) x)))
#s(approx (+ (* (+ (* x 2) -2) x) 2) (.f64 (.f64 #s(literal 2 binary64) x) x))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x))))
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)))
#s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x #s(literal 2 binary64))))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(+.f64 #s(literal -1 binary64) x)
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)
#s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x))
(*.f64 #s(literal -4/3 binary64) x)

Outputs
(.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))) (-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (-.f64 (.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))) (.f64 (.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))
(/.f64 (fma.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 x x) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))))
(neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))
(fma.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal -1 binary64) x) (.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))))
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 x #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))))
(+.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))))
(fma.f64 (.f64 #s(approx (/ 2 (+ 1 (exp ( -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (+.f64 (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(+.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 (.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))
(.f64 #s(approx (/ 2 (+ 1 (exp ( -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ 1 (exp ( -2 x)))) (-.f64 x #s(literal -1 binary64))))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64)))
(*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (-.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x x)))
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(fma.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) (.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (fma.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) (.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (fma.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) (.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 3 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (fma.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) (.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (fma.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) (.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (fma.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) (.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (fma.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal -1 binary64))
(.f64 (.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64))
(.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (fma.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (fma.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))))
(/.f64 #s(literal -2 binary64) (neg.f64 #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x #s(literal 2 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x #s(literal 2 binary64))))
(neg.f64 (/.f64 #s(literal -2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))))
(neg.f64 (/.f64 #s(literal 2 binary64) (neg.f64 #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x #s(literal 2 binary64))))))
(+.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) (.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp ( -2 x))) (fma.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (.f64 (fma.f64 #s(approx (+ ( -4/3 x) 2) (.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x) #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(approx (+ ( -4/3 x) 2) (.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64))) (neg.f64 (-.f64 (.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(approx (+ ( -4/3 x) 2) (.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x) #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) (.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x)) (pow.f64 (.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(approx (+ ( -4/3 x) 2) (.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(approx (+ ( -4/3 x) 2) (.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x) #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) (.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x) #s(literal 2 binary64)) (.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) (.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(approx (+ ( -4/3 x) 2) (.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) (.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x)) (pow.f64 (.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x) #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(fma.f64 x (fma.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) #s(literal 2 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(approx (+ ( -4/3 x) 2) (.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) (.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x) #s(literal 2 binary64))))
(-.f64 #s(literal 2 binary64) (.f64 (neg.f64 (fma.f64 #s(approx (+ ( -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64))) x))
(-.f64 #s(literal 2 binary64) (.f64 (neg.f64 x) (fma.f64 #s(approx (+ ( -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64))))
(+.f64 (fma.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(approx (+ ( -4/3 x) 2) (.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x) #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) (.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x)) (pow.f64 (.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) (.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x) #s(literal 2 binary64)))) (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) (.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x)) (pow.f64 (.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x) #s(literal 2 binary64)))))
(+.f64 (.f64 (fma.f64 #s(approx (+ ( -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(approx (+ ( -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x)))
(+.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(approx (+ ( -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x #s(literal -2 binary64)) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal -1 binary64) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (neg.f64 x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)))
(-.f64 x #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(+.f64 #s(literal -1 binary64) x)
(+.f64 x #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)
(*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal -4 binary64)) x) (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) x) (fma.f64 #s(literal 4 binary64) (.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -4 binary64)))))
(/.f64 (.f64 x (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal -4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)))
(/.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -4 binary64)))))
(fma.f64 (.f64 #s(literal 2 binary64) (neg.f64 x)) (neg.f64 x) (.f64 #s(literal -2 binary64) x))
(fma.f64 (.f64 #s(literal 2 binary64) (fabs.f64 x)) (fabs.f64 x) (.f64 #s(literal -2 binary64) x))
(fma.f64 (.f64 x x) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) x))
(fma.f64 (.f64 #s(literal 2 binary64) x) x (.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal -2 binary64) x (.f64 (.f64 #s(literal 2 binary64) x) x))
(fma.f64 #s(literal 2 binary64) (.f64 x x) (.f64 #s(literal -2 binary64) x))
(fma.f64 x (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -2 binary64) x))
(fma.f64 x #s(literal -2 binary64) (.f64 (.f64 #s(literal 2 binary64) x) x))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) (*.f64 #s(literal -2 binary64) x))
(+.f64 (.f64 #s(literal -2 binary64) x) (.f64 (*.f64 #s(literal 2 binary64) x) x))
#s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x))
(*.f64 #s(literal -4/3 binary64) x)
(*.f64 x #s(literal -4/3 binary64))

eval50.0ms (0.7%)

Memory: -21.1MiB live, 69.6MiB allocated; 8ms collecting garbage
Compiler: Compiled 7 086 to 876 computations (87.6% saved)

prune41.0ms (0.6%)

Memory

-20.6MiB live, 31.9MiB allocated; 8ms collecting garbage

Pruning

13 alts after pruning (6 fresh and 7 done)

	Pruned	Kept	Total
New	206	6	212
Fresh	0	0	0
Picked	2	2	4
Done	2	5	7
Total	210	13	223

Accuracy

100.0%

Counts

223 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.7%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
	26.9%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) (.f64 x x))))) #s(literal 1 binary64))
✓	26.4%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64))
✓	26.8%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (.f64 (.f64 #s(literal 2 binary64) x) x)))) #s(literal 1 binary64))
	6.7%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
	5.6%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
	6.5%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))
	4.5%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (+ (* x x) -1) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))
	29.1%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))
✓	6.7%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
✓	4.4%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	53.3%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
✓	51.8%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))

Compiler

Compiled 767 to 351 computations (54.2% saved)

regimes51.0ms (0.8%)

Memory

19.4MiB live, 63.8MiB allocated; 5ms collecting garbage

Counts

23 → 3

Calls

Call 1

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

Outputs

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

#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 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))

Calls

6 calls:

17.0ms	(exp.f64 (*.f64 #s(literal -2 binary64) x))
6.0ms	(*.f64 #s(literal -2 binary64) x)
6.0ms	x
5.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
5.0ms	(/.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	`(*.f64 #s(literal -2 binary64) x)`
100.0%	3	`(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	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) 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	`x`

Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes78.0ms (1.2%)

Memory

-0.3MiB live, 89.6MiB allocated; 10ms collecting garbage

Counts

22 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

30.0ms	(*.f64 #s(literal -2 binary64) x)
21.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
11.0ms	x
5.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
5.0ms	(exp.f64 (*.f64 #s(literal -2 binary64) x))

Results

Accuracy	Segments	Branch
77.7%	2	`(*.f64 #s(literal -2 binary64) x)`
77.7%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
77.7%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
77.7%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
77.7%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
77.7%	2	`x`

Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes23.0ms (0.3%)

Memory

36.1MiB live, 36.1MiB allocated; 0ms collecting garbage

Counts

14 → 2

Calls

Call 1

Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (+ (* x x) -1) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (.f64 (.f64 #s(literal 2 binary64) x) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x))

Outputs

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

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

Calls

6 calls:

4.0ms	x
4.0ms	(*.f64 #s(literal -2 binary64) x)
3.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
3.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
3.0ms	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))

Results

Accuracy	Segments	Branch
77.6%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
77.6%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
77.6%	2	`x`
77.6%	2	`(*.f64 #s(literal -2 binary64) x)`
77.6%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
77.6%	2	`(-.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 32 to 31 computations (3.1% saved)

regimes67.0ms (1%)

Memory

-49.6MiB live, 54.9MiB allocated; 20ms collecting garbage

Counts

13 → 2

Calls

Call 1

Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (+ (* x x) -1) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (.f64 (.f64 #s(literal 2 binary64) x) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))

Outputs

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

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

Calls

6 calls:

45.0ms	x
8.0ms	(*.f64 #s(literal -2 binary64) x)
3.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
3.0ms	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
3.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))

Results

Accuracy	Segments	Branch
76.9%	2	`(*.f64 #s(literal -2 binary64) x)`
76.9%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
76.9%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
76.9%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
76.9%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
76.9%	2	`x`

Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes18.0ms (0.3%)

Memory

25.5MiB live, 25.5MiB allocated; 0ms collecting garbage

Counts

10 → 2

Calls

Call 1

Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (+ (* x x) -1) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (.f64 (.f64 #s(literal 2 binary64) x) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))

Outputs

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
76.9%	2	`(*.f64 #s(literal -2 binary64) x)`
76.9%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
76.9%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
76.9%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
76.9%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
76.9%	2	`x`

Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes15.0ms (0.2%)

Memory

17.7MiB live, 17.7MiB allocated; 0ms collecting garbage

Counts

8 → 2

Calls

Call 1

Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (+ (* x x) -1) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))

Outputs

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

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

Calls

6 calls:

3.0ms	x
3.0ms	(*.f64 #s(literal -2 binary64) x)
2.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
2.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
2.0ms	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))

Results

Accuracy	Segments	Branch
76.6%	2	`(*.f64 #s(literal -2 binary64) x)`
76.6%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
76.6%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
76.6%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
76.6%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
76.6%	2	`x`

Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes23.0ms (0.3%)

Memory

-33.9MiB live, 12.3MiB allocated; 4ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

6 calls:

16.0ms	x
2.0ms	(*.f64 #s(literal -2 binary64) x)
1.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
1.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
1.0ms	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))

Results

Accuracy	Segments	Branch
51.8%	1	`(*.f64 #s(literal -2 binary64) x)`
51.8%	1	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
51.8%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
51.8%	1	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
51.8%	1	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
51.8%	1	`x`

Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes8.0ms (0.1%)

Memory

10.8MiB live, 10.8MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

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

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

Calls

6 calls:

1.0ms	(*.f64 #s(literal -2 binary64) x)
1.0ms	x
1.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
1.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
1.0ms	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))

Results

Accuracy	Segments	Branch
6.7%	1	`x`
6.7%	1	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
6.7%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
6.7%	1	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
6.7%	1	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
6.7%	1	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes6.0ms (0.1%)

Memory

9.5MiB live, 9.5MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

1.0ms	(*.f64 #s(literal -2 binary64) x)
1.0ms	x
1.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
1.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
1.0ms	(exp.f64 (*.f64 #s(literal -2 binary64) x))

Results

Accuracy	Segments	Branch
4.4%	1	`(*.f64 #s(literal -2 binary64) x)`
4.4%	1	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
4.4%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
4.4%	1	`x`
4.4%	1	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
4.4%	1	`(-.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 32 to 31 computations (3.1% saved)

bsearch71.0ms (1%)

Memory

-9.4MiB live, 35.6MiB allocated; 5ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
56.0ms	2.3117523001057622e-10	925.163604259488
11.0ms	-0.018622485210915418	-7.519348530610034e-5

Samples

56.0ms

272×

valid

Compiler

Compiled 506 to 438 computations (13.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-div: 41.0ms (82.5% of total)

ival-exp: 3.0ms (6% of total)

ival-add: 2.0ms (4% of total)

ival-mult: 2.0ms (4% of total)

ival-sub: 1.0ms (2% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0	-0.018620332769107795

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0	-0.018620332769107795

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch17.0ms (0.2%)

Memory

19.7MiB live, 19.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	-184074.66287032084	-0.018622485210915418

Samples

9.0ms

144×

valid

Compiler

Compiled 427 to 337 computations (21.1% saved)

Precisions

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

ival-exp: 2.0ms (36.8% of total)

ival-div: 1.0ms (18.4% of total)

ival-add: 1.0ms (18.4% of total)

ival-mult: 1.0ms (18.4% of total)

ival-sub: 1.0ms (18.4% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch18.0ms (0.3%)

Memory

-39.2MiB live, 11.9MiB allocated; 10ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	-184074.66287032084	-0.018622485210915418

Samples

14.0ms

48×

valid

Compiler

Compiled 418 to 328 computations (21.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-div: 11.0ms (87.7% of total)

ival-exp: 1.0ms (8% of total)

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

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

adjust: 0.0ms (0% of total)

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

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

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

exact: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
3.0ms	-184074.66287032084	-0.018622485210915418

Samples

1.0ms

16×

valid

Compiler

Compiled 382 to 319 computations (16.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

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

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

adjust: 0.0ms (0% of total)

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

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

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

exact: 0.0ms (0% of total)

simplify57.0ms (0.8%)

Memory

20.3MiB live, 67.0MiB allocated; 4ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	361
1	125	361
2	243	361
3	705	361
4	3471	361

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -8762203435012037/9223372036854775808 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 6456360425798343/9223372036854775808 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 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))))
(if (<=.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) (.f64 x x))))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x)))
(if (<=.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x)))
(if (<=.f64 x #s(literal -5404319552844595/4503599627370496 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)))
(if (<=.f64 x #s(literal -3152519739159347/2251799813685248 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (.f64 (.f64 #s(literal 2 binary64) x) x)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))

Outputs
(if (<=.f64 x #s(literal -8762203435012037/9223372036854775808 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 6456360425798343/9223372036854775808 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 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))))
(if (or (<=.f64 x #s(literal -8762203435012037/9223372036854775808 binary64)) (not (<=.f64 x #s(literal 6456360425798343/9223372036854775808 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(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)))
(if (<=.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) (.f64 x x))))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x)))
(if (<=.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x)))
(if (<=.f64 x #s(literal -5404319552844595/4503599627370496 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)))
(if (<=.f64 x #s(literal -3152519739159347/2251799813685248 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (.f64 (.f64 #s(literal 2 binary64) x) x)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))

derivations1.2s (17.2%)

Memory

23.6MiB live, 819.0MiB allocated; 97ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	112	386
1	316	369
2	1188	365
3	5097	363
0	8175	346
0	96	325
1	265	313
2	881	311
3	3874	311
0	8720	284
0	34	235
0	54	227
1	234	227
0	1938	221
0	49	161
1	146	161
2	444	151
3	1675	151
4	6975	151
0	8507	130
0	100	331
1	295	314
2	1141	298
3	5489	295
0	8239	266
0	32	204
0	52	204
1	237	204
0	1987	204

Stop Event

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

Compiler

Compiled 361 to 90 computations (75.1% saved)

preprocess64.0ms (1%)

Memory: -1.2MiB live, 97.5MiB allocated; 22ms collecting garbage
Compiler: Compiled 742 to 198 computations (73.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze0.0ms (0%)

sample1.6s (23.7%)

explain219.0ms (3.3%)

preprocess256.0ms (3.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify161.0ms (2.4%)

localize46.0ms (0.7%)

series53.0ms (0.8%)

simplify177.0ms (2.6%)

rewrite187.0ms (2.8%)

eval74.0ms (1.1%)

prune35.0ms (0.5%)

simplify142.0ms (2.1%)

localize187.0ms (2.8%)

series9.0ms (0.1%)

simplify163.0ms (2.4%)

rewrite162.0ms (2.4%)

eval34.0ms (0.5%)

prune19.0ms (0.3%)

simplify226.0ms (3.3%)

localize179.0ms (2.7%)

series8.0ms (0.1%)

simplify167.0ms (2.5%)

rewrite102.0ms (1.5%)

eval34.0ms (0.5%)

prune26.0ms (0.4%)

simplify125.0ms (1.9%)

localize162.0ms (2.4%)

series65.0ms (1%)

simplify275.0ms (4.1%)

rewrite82.0ms (1.2%)

eval50.0ms (0.7%)

prune41.0ms (0.6%)

regimes51.0ms (0.8%)

regimes78.0ms (1.2%)

regimes23.0ms (0.3%)

regimes67.0ms (1%)

regimes18.0ms (0.3%)

regimes15.0ms (0.2%)

regimes23.0ms (0.3%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch71.0ms (1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch17.0ms (0.2%)

bsearch18.0ms (0.3%)

bsearch3.0ms (0%)

simplify57.0ms (0.8%)

derivations1.2s (17.2%)

preprocess64.0ms (1%)

end0.0ms (0%)

Profiling