Metrics for Logistic function from Lakshay Garg

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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)

sample2.3s (28.8%)

Memory

-166.4MiB live, 2 295.7MiB allocated; 1.5s collecting garbage

Samples

686.0ms	1 683×	2	valid
389.0ms	2 432×	1	valid
300.0ms	4 141×	0	valid

Precisions

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

ival-exp: 429.0ms (41.3% of total)

adjust: 210.0ms (20.2% of total)

ival-div: 110.0ms (10.6% of total)

ival-mult: 106.0ms (10.2% of total)

ival-add: 89.0ms (8.6% of total)

ival-sub: 75.0ms (7.2% of total)

exact: 11.0ms (1.1% of total)

ival-true: 6.0ms (0.6% of total)

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

Bogosity

explain165.0ms (2.1%)

Memory

17.0MiB live, 250.7MiB allocated; 39ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
137	-	-	`(-.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	137	0

Confusion

	Predicted +	Predicted -
+	137	1
-	0	118

Precision

1.0

Recall

0.9927536231884058

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	137	0	1
-	0	0	118

Precision?

1.0

Recall?

0.9927536231884058

Freqs

test

number	freq
0	119
1	137

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

34.0ms	178×	1	valid
29.0ms	96×	2	valid
18.0ms	238×	0	valid

Compiler

Compiled 84 to 31 computations (63.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-exp: 23.0ms (37.1% of total)

ival-div: 11.0ms (17.8% of total)

adjust: 10.0ms (16.1% of total)

ival-mult: 7.0ms (11.3% of total)

ival-add: 5.0ms (8.1% of total)

ival-sub: 4.0ms (6.5% of total)

exact: 1.0ms (1.6% of total)

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

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

preprocess175.0ms (2.2%)

Memory

32.3MiB live, 305.3MiB allocated; 37ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	23	21
2	48	21
3	123	21
4	343	21
5	2613	21
0	9	10
0	14	10
1	24	10
2	40	10
3	83	10
4	253	10
5	1921	10
6	6134	10
0	8233	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: 0.4MiB live, 0.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.9%	(-.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)

simplify164.0ms (2%)

Memory

-11.7MiB live, 139.4MiB allocated; 9ms 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	40	35
3	83	35
4	253	35
5	1921	35
6	6134	35
0	8233	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

localize44.0ms (0.5%)

Memory

2.7MiB live, 48.0MiB allocated; 2ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 #s(literal -2 binary64) x)
accuracy	0.0	(exp.f64 (*.f64 #s(literal -2 binary64) x))
accuracy	0.00390625	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
accuracy	32.08301035389911	(-.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	48×	2	valid
14.0ms	89×	1	valid
7.0ms	119×	0	valid

Compiler

Compiled 37 to 11 computations (70.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-exp: 11.0ms (40.1% of total)

adjust: 6.0ms (21.9% of total)

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

ival-sub: 2.0ms (7.3% of total)

ival-add: 2.0ms (7.3% of total)

ival-mult: 2.0ms (7.3% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

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

Counts

5 → 20

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))
(*.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 x)
(- (* 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
2.0ms	x	@	-inf	((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (exp (* -2 x)) (* -2 x))
2.0ms	x	@	inf	((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (exp (* -2 x)) (* -2 x))
1.0ms	x	@	0	((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (exp (* -2 x)) (* -2 x))

Time

Variable

Point

Expression

2.0ms

-inf

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

2.0ms

inf

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

1.0ms

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

simplify134.0ms (1.7%)

Memory

-28.3MiB live, 75.1MiB allocated; 17ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	164
1	146	164
2	393	154
3	1320	154
4	3176	154
5	7220	154
0	8240	140

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 19

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

rewrite193.0ms (2.4%)

Memory

19.1MiB live, 157.5MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	31
0	14	31
1	51	31
2	344	31
3	4337	31
0	9529	30

Stop Event

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

Counts

5 → 287

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))
(*.f64 #s(literal -2 binary64) x)

Outputs
(.f64 (/.f64 (expm1.f64 (.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))))
(.f64 (/.f64 (expm1.f64 (.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (expm1.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) #s(literal 1 binary64)))
(.f64 (/.f64 (expm1.f64 (.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 3 binary64))) (-.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) #s(literal 2 binary64)))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(.f64 (/.f64 (expm1.f64 (.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 4 binary64))))
(.f64 (/.f64 (expm1.f64 (.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 2 binary64))) (expm1.f64 (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 2 binary64)))) (expm1.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))) (expm1.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) (/.f64 (expm1.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))))
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(+.f64 (log.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64))) (log.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64))))
(+.f64 (log.f64 (neg.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64))))) (log.f64 (neg.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (fabs.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64))))) (log.f64 (fabs.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64))))))
(+.f64 (.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)) (log.f64 (.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
(+.f64 (.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)) (.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal -2 binary64)))
(+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64))
(log.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))

eval40.0ms (0.5%)

Memory: 12.6MiB live, 56.7MiB allocated; 7ms collecting garbage
Compiler: Compiled 7 592 to 1 364 computations (82% saved)

prune15.0ms (0.2%)

Memory

-21.7MiB live, 24.5MiB allocated; 5ms collecting garbage

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	296	10	306
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	296	11	307

Accuracy

100.0%

Counts

307 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.9%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64))))) #s(literal 1 binary64))
✓	49.9%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
▶	27.2%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.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))
	27.1%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
▶	26.9%	(-.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))
▶	4.1%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
	6.1%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
▶	4.4%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
	49.9%	(expm1.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
▶	55.6%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (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))
	54.2%	#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 332 to 275 computations (17.2% saved)

simplify107.0ms (1.3%)

Memory

-0.3MiB live, 101.0MiB allocated; 7ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 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) (+.f64 #s(literal 1 binary64) x))
cost-diff	0	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)))
cost-diff	0	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
cost-diff	0	(fma.f64 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.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	(-.f64 (.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)) (-.f64 (.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)) (-.f64 (.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	37	274
0	59	274
1	91	274
2	194	274
3	547	274
4	1359	274
5	3362	274
0	8214	274

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

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

localize141.0ms (1.8%)

Memory

11.9MiB live, 101.5MiB allocated; 10ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 #s(literal 1 binary64) x)
accuracy	0.09375	(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))
accuracy	29.08800150316136	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)))
accuracy	32.08301035389911	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
accuracy	0.05859375	(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64))
accuracy	0.14453125	(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
accuracy	19.799530679679663	#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))
accuracy	32.08301035389911	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.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	0.0	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))
accuracy	28.665284016582646	#s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))
accuracy	32.08301035389911	(-.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	26.647773033529777	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64))
accuracy	32.08301035389911	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.0390625	(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)
accuracy	0.0859375	(.f64 #s(literal 2/15 binary64) (.f64 x x))
accuracy	28.43565207135879	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (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))

Samples

44.0ms	48×	2	valid
43.0ms	89×	1	valid
32.0ms	119×	0	valid

Compiler

Compiled 198 to 32 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

adjust: 22.0ms (23.9% of total)

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

const: 13.0ms (14.1% of total)

ival-mult: 13.0ms (14.1% of total)

ival-exp: 12.0ms (13% of total)

ival-sub: 5.0ms (5.4% of total)

ival-pow: 4.0ms (4.3% of total)

ival-div: 3.0ms (3.3% of total)

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

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

exact: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory

12.8MiB live, 12.8MiB allocated; 0ms collecting garbage

Counts

21 → 46

Calls

Call 1

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

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	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) (/ 2 (+ 1 (exp (* -2 x)))) (+ (* (pow x 3) -1/3) (+ 1 x)) (* 2/15 (* x x)) (* x x) (+ (* -4/3 x) 2) (+ 1 x))
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) (/ 2 (+ 1 (exp (* -2 x)))) (+ (* (pow x 3) -1/3) (+ 1 x)) (* 2/15 (* x x)) (* x x) (+ (* -4/3 x) 2) (+ 1 x))
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) (/ 2 (+ 1 (exp (* -2 x)))) (+ (* (pow x 3) -1/3) (+ 1 x)) (* 2/15 (* x x)) (* x x) (+ (* -4/3 x) 2) (+ 1 x))

Time

Variable

Point

Expression

4.0ms

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

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

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

simplify129.0ms (1.6%)

Memory

-28.8MiB live, 70.3MiB allocated; 11ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	122	416
1	355	396
2	1229	392
3	5136	388
0	8231	371

Stop Event

1×	iter limit
1×	node limit

Counts

46 → 45

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

rewrite169.0ms (2.1%)

Memory

26.6MiB live, 157.6MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	240
0	59	240
1	257	240
2	1976	240
0	9133	240

Stop Event

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

Counts

21 → 349

Calls

Call 1

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

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

eval99.0ms (1.2%)

Memory: 3.7MiB live, 63.5MiB allocated; 17ms collecting garbage
Compiler: Compiled 16 458 to 1 963 computations (88.1% saved)

prune18.0ms (0.2%)

Memory

-16.0MiB live, 29.7MiB allocated; 3ms collecting garbage

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	411	7	418
Fresh	3	2	5
Picked	2	3	5
Done	0	1	1
Total	416	13	429

Accuracy

100.0%

Counts

429 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.9%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64))))) #s(literal 1 binary64))
✓	49.9%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
	27.1%	(-.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))
✓	27.2%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.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))
✓	26.9%	(-.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))
▶	24.8%	(-.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))
	24.4%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* (+ (* -4/3 x) 2) x) 2) x) 2) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
	24.1%	(-.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))
▶	4.1%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
▶	6.1%	(-.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))
	49.9%	(expm1.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
▶	55.6%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (.f64 x x)) x x))

Compiler

Compiled 431 to 337 computations (21.8% saved)

simplify145.0ms (1.8%)

Memory

23.7MiB live, 112.5MiB allocated; 9ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)))
cost-diff	0	(+.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64))))
cost-diff	0	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)))))
cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64))))) #s(literal 1 binary64))
cost-diff	0	#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)))
cost-diff	0	#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))))
cost-diff	0	(/.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)))))
cost-diff	0	(-.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))
cost-diff	0	(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))
cost-diff	0	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)))
cost-diff	0	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
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	(-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))
cost-diff	0	(.f64 (-.f64 (.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 (-.f64 (.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 (-.f64 (.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	47	336
0	70	336
1	114	326
2	258	326
3	774	326
4	1858	326
5	5646	326
0	8319	320

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

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

localize273.0ms (3.4%)

Memory

-30.9MiB live, 257.2MiB allocated; 23ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(+.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64))))
accuracy	0.0078125	(pow.f64 (exp.f64 x) #s(literal -4 binary64))
accuracy	0.0078125	(sqrt.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)))
accuracy	32.08301035389911	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64))))) #s(literal 1 binary64))
accuracy	0.05859375	(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
accuracy	14.874934682448798	#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))))
accuracy	32.08301035389911	(-.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))
accuracy	33.49084177798377	#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)))
accuracy	0.046875	(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))
accuracy	0.0625	(.f64 (.f64 x x) x)
accuracy	14.83966593133752	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)))
accuracy	32.08301035389911	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
accuracy	0.0	(-.f64 x #s(literal -1 binary64))
accuracy	14.305633493550905	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64)))
accuracy	32.08301035389911	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
accuracy	0.00390625	(fma.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (.f64 x x)) x x)
accuracy	0.06640625	(.f64 (.f64 x x) #s(literal 2/15 binary64))
accuracy	0.13671875	(.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (.f64 x x))
accuracy	14.41216232237066	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (.f64 x x)) x x))

Samples

89.0ms	58×	5	exit
80.0ms	89×	1	valid
54.0ms	48×	2	valid
18.0ms	61×	0	valid

Compiler

Compiled 223 to 41 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 200.0ms

adjust: 84.0ms (42% of total)

ival-exp: 29.0ms (14.5% of total)

ival-mult: 22.0ms (11% of total)

const: 17.0ms (8.5% of total)

ival-add: 14.0ms (7% of total)

ival-sub: 10.0ms (5% of total)

ival-div: 9.0ms (4.5% of total)

ival-pow: 9.0ms (4.5% of total)

ival-sqrt: 5.0ms (2.5% of total)

exact: 1.0ms (0.5% of total)

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

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

series13.0ms (0.2%)

Memory

18.4MiB live, 18.4MiB allocated; 0ms collecting garbage

Counts

22 → 57

Calls

Call 1

Inputs
(fma.f64 (.f64 (-.f64 (.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 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (.f64 x x)) x x))
(.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (.f64 x x))
(-.f64 (.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)
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) 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 #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(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(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)))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)))))
(+.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64))))
(sqrt.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)))
(.f64 (.f64 x x) #s(literal 2/15 binary64))
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
(pow.f64 (exp.f64 x) #s(literal -4 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)
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)))
(* 2/15 (pow x 2))
(+ 2 (* -4/3 x))
(+ 1 (* -4 x))
(+ 1 (* x (- (* 8 x) 4)))
(+ 1 (* x (- (* x (+ 8 (* -32/3 x))) 4)))
(* 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)))))
(* (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))
(* (pow x 3) (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1/3))
(+ 1 (exp (* -2 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)))))
(- (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2))))) 1)
(/ 2 (+ 1 (/ 1 (pow (exp x) 2))))
(+ 1 (/ 1 (pow (exp x) 2)))
(/ 1 (pow (exp x) 2))
(* -4/3 x)
(* x (- (* 2 (/ 1 x)) 4/3))
(/ 1 (pow (exp x) 4))
(* -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 (* (pow x 3) (+ 1/3 (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))))))
(* -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 (- 4/3 (* 2 (/ 1 x)))))

Calls

3 calls:

Time

Variable

Point

Expression

5.0ms

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

5.0ms

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

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

simplify122.0ms (1.5%)

Memory

3.0MiB live, 94.5MiB allocated; 8ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	148	522
1	417	502
2	1343	496
3	5429	494
0	8169	473

Stop Event

1×	iter limit
1×	node limit

Counts

57 → 56

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

rewrite187.0ms (2.3%)

Memory

23.5MiB live, 159.1MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	297
0	70	283
1	296	283
2	2241	283
0	9077	277

Stop Event

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

Counts

22 → 368

Calls

Call 1

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

Outputs
(.f64 (fma.f64 (-.f64 (.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 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64))))))) (.f64 (/.f64 (.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64))))))))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (-.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 x (neg.f64 x))))) (neg.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64))) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (-.f64 (.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 (neg.f64 (fma.f64 (pow.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64))) x)) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64))) x) (.f64 x x))) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64))) x) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64))) x)))
(/.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64))))) (.f64 (fma.f64 (pow.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 3 binary64)))) (.f64 (fma.f64 (pow.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 (pow.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (-.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 x (neg.f64 x)))) (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64))) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (-.f64 (.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 x (-.f64 (.f64 (pow.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (-.f64 (.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 (pow.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (fma.f64 (pow.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 x (neg.f64 x))) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64))) x))
(/.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (-.f64 (.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 (.f64 (pow.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (-.f64 (.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 (pow.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64))))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64))))
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(/.f64 (+.f64 (pow.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))))) #s(literal 3 binary64)) (pow.f64 (/.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))))) #s(literal 3 binary64))) (fma.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 (.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 (.f64 (/.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 #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 (.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 (neg.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 16/9 binary64) (.f64 x x)))) (neg.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -4/3 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 16/9 binary64) (.f64 x x)) #s(literal 4 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal -4/3 binary64) x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))) (neg.f64 (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 (-.f64 (.f64 (.f64 #s(literal 16/9 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -4/3 binary64) x) #s(literal 2 binary64))) (.f64 (-.f64 (.f64 #s(literal -4/3 binary64) x) #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (-.f64 (.f64 #s(literal -4/3 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -4/3 binary64) x) #s(literal 2 binary64))))
(/.f64 (fma.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 (fma.f64 #s(literal 16/9 binary64) (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x #s(literal -8/3 binary64)))) #s(literal 8 binary64))) (.f64 (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 16/9 binary64) (.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -8/3 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 (-.f64 (.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 (+.f64 #s(literal 4 binary64) (-.f64 (.f64 #s(literal 16/9 binary64) (.f64 x x)) (*.f64 x #s(literal -8/3 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 (-.f64 (.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 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (.f64 #s(literal -4/3 binary64) x))) (/.f64 (.f64 #s(literal 16/9 binary64) (.f64 x x)) (-.f64 #s(literal 2 binary64) (.f64 #s(literal -4/3 binary64) x))))
(-.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 (neg.f64 x) #s(literal -4/3 binary64)))
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal 4/3 binary64) x))
(+.f64 (/.f64 #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 (.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 #s(literal 16/9 binary64) (.f64 x x)) (*.f64 x #s(literal -8/3 binary64))))))
(+.f64 (/.f64 (.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 #s(literal 16/9 binary64) (.f64 x x)) (.f64 x #s(literal -8/3 binary64))))) (/.f64 #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 (/.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 -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 (/.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 2 binary64) (*.f64 #s(literal -4/3 binary64) x))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (neg.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (neg.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
(*.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
(*.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) #s(literal 1 binary64)) x)
(pow.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal -8 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64))
(pow.f64 (exp.f64 #s(literal -4 binary64)) x)
(pow.f64 (exp.f64 #s(literal -2 binary64)) (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 x #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) x))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 x) #s(literal -4 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 (cosh.f64 (.f64 #s(literal -2 binary64) x)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (sinh.f64 (.f64 #s(literal -2 binary64) x)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (cosh.f64 (.f64 #s(literal -2 binary64) x)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (.f64 (cosh.f64 (.f64 #s(literal -2 binary64) x)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (-.f64 (.f64 (.f64 (sinh.f64 (.f64 #s(literal -2 binary64) x)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (.f64 (sinh.f64 (.f64 #s(literal -2 binary64) x)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (.f64 (.f64 (cosh.f64 (.f64 #s(literal -2 binary64) x)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (.f64 (sinh.f64 (.f64 #s(literal -2 binary64) x)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (cosh.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (sinh.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64))) (fma.f64 (.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (cosh.f64 (.f64 #s(literal -2 binary64) x))) (.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (cosh.f64 (.f64 #s(literal -2 binary64) x))) (-.f64 (.f64 (.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (sinh.f64 (.f64 #s(literal -2 binary64) x))) (.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (sinh.f64 (.f64 #s(literal -2 binary64) x)))) (.f64 (.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (cosh.f64 (.f64 #s(literal -2 binary64) x))) (.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (sinh.f64 (.f64 #s(literal -2 binary64) x)))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 #s(literal -4 binary64) x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 #s(literal -4 binary64) x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (.f64 #s(literal -4 binary64) x)) (cosh.f64 (.f64 #s(literal -4 binary64) x)) (-.f64 (.f64 (sinh.f64 (.f64 #s(literal -4 binary64) x)) (sinh.f64 (.f64 #s(literal -4 binary64) x))) (.f64 (cosh.f64 (.f64 #s(literal -4 binary64) x)) (sinh.f64 (.f64 #s(literal -4 binary64) x))))))
(fma.f64 (cosh.f64 (.f64 #s(literal -2 binary64) x)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (cosh.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (sinh.f64 (*.f64 #s(literal -2 binary64) x))))
(sqrt.f64 (pow.f64 (exp.f64 x) #s(literal -8 binary64)))
(fabs.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 x) #s(literal -8 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -4 binary64))) x))
(exp.f64 (.f64 (.f64 #s(literal -4 binary64) x) #s(literal 1 binary64)))
(exp.f64 (*.f64 #s(literal -4 binary64) x))
(+.f64 (.f64 (cosh.f64 (.f64 #s(literal -2 binary64) x)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (.f64 (sinh.f64 (.f64 #s(literal -2 binary64) x)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
(+.f64 (.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (cosh.f64 (.f64 #s(literal -2 binary64) x))) (.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (sinh.f64 (.f64 #s(literal -2 binary64) x))))
(+.f64 (cosh.f64 (.f64 #s(literal -4 binary64) x)) (sinh.f64 (.f64 #s(literal -4 binary64) x)))

eval98.0ms (1.2%)

Memory: -40.5MiB live, 119.6MiB allocated; 51ms collecting garbage
Compiler: Compiled 15 578 to 2 061 computations (86.8% saved)

prune19.0ms (0.2%)

Memory

-5.4MiB live, 40.8MiB allocated; 5ms collecting garbage

Pruning

17 alts after pruning (9 fresh and 8 done)

	Pruned	Kept	Total
New	417	5	422
Fresh	0	4	4
Picked	1	4	5
Done	0	4	4
Total	418	17	435

Accuracy

100.0%

Counts

435 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.9%	(-.f64 (/.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #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))))) (pow.f64 (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #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)))) #s(literal -1 binary64)))
▶	49.8%	(-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.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))) (pow.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)) #s(literal -1 binary64)))
▶	49.9%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 (*.f64 #s(literal -4 binary64) x))))) #s(literal 1 binary64))
✓	49.9%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
	27.1%	(-.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))
✓	27.2%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.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))
✓	26.9%	(-.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))
✓	24.8%	(-.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))
	24.4%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* (+ (* -4/3 x) 2) x) 2) x) 2) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
▶	24.2%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* (+ (* -4/3 x) 2) x) 2) x) 2) (.f64 #s(approx (+ ( -4/3 x) 2) (.f64 #s(literal -4/3 binary64) x)) (.f64 x x))))) #s(literal 1 binary64))
▶	24.1%	(-.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))
✓	4.1%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
✓	6.1%	(-.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))
	49.9%	(expm1.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
✓	55.6%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (.f64 x x)) x x))
▶	54.2%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 #s(approx (- ( (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x))

Compiler

Compiled 648 to 431 computations (33.5% saved)

simplify117.0ms (1.4%)

Memory

32.1MiB live, 131.3MiB allocated; 20ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	471
0	86	474
1	139	467
2	299	465
3	868	465
4	4082	465
0	8537	445

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

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

localize425.0ms (5.3%)

Memory

-21.2MiB live, 445.2MiB allocated; 74ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	0.0078125	(pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
accuracy	0.0078125	(/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
accuracy	32.099532984436756	(-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.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))) (pow.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)) #s(literal -1 binary64)))
accuracy	0.0	(exp.f64 (*.f64 #s(literal -4 binary64) x))
accuracy	0.00390625	(+.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 (*.f64 #s(literal -4 binary64) x))))
accuracy	0.0078125	(sqrt.f64 (exp.f64 (*.f64 #s(literal -4 binary64) x)))
accuracy	32.08301035389911	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 (*.f64 #s(literal -4 binary64) x))))) #s(literal 1 binary64))
accuracy	14.874934682448798	#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* (+ (* -4/3 x) 2) x) 2) x) 2) (.f64 #s(approx (+ ( -4/3 x) 2) (.f64 #s(literal -4/3 binary64) x)) (.f64 x x))))
accuracy	32.08301035389911	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* (+ (* -4/3 x) 2) x) 2) x) 2) (.f64 #s(approx (+ ( -4/3 x) 2) (.f64 #s(literal -4/3 binary64) x)) (.f64 x x))))) #s(literal 1 binary64))
accuracy	33.49084177798377	#s(approx (+ (* (- (* (+ (* -4/3 x) 2) x) 2) x) 2) (.f64 #s(approx (+ ( -4/3 x) 2) (.f64 #s(literal -4/3 binary64) x)) (.f64 x x)))
accuracy	33.79574436633143	#s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x))
accuracy	0.0	(*.f64 x #s(literal -2 binary64))
accuracy	14.908206399031709	#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))
accuracy	32.08301035389911	(-.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	33.791986900982536	#s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))
accuracy	0.00390625	(fma.f64 (.f64 #s(approx (- ( (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)
accuracy	0.13671875	(.f64 #s(approx (- ( (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x))
accuracy	14.41216232237066	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 #s(approx (- ( (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
accuracy	14.959032353994388	#s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64))

Samples

122.0ms	58×	5	exit
119.0ms	48×	2	valid
79.0ms	89×	1	valid
21.0ms	61×	0	valid

Compiler

Compiled 311 to 49 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 293.0ms

adjust: 108.0ms (36.9% of total)

ival-exp: 61.0ms (20.8% of total)

ival-mult: 26.0ms (8.9% of total)

ival-div: 20.0ms (6.8% of total)

ival-pow: 20.0ms (6.8% of total)

ival-add: 18.0ms (6.1% of total)

const: 15.0ms (5.1% of total)

ival-sub: 12.0ms (4.1% of total)

ival-pow2: 6.0ms (2% of total)

ival-sqrt: 5.0ms (1.7% of total)

exact: 1.0ms (0.3% of total)

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

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

series22.0ms (0.3%)

Memory

23.5MiB live, 23.5MiB allocated; 0ms collecting garbage

Counts

24 → 72

Calls

Call 1

Inputs
(fma.f64 (.f64 #s(approx (- ( (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 #s(approx (- ( (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
(.f64 #s(approx (- ( (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x))
#s(approx (- (* (* x x) 2/15) 1/3) #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(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))) #s(approx (+ (* (- (* (+ (* -4/3 x) 2) x) 2) x) 2) (.f64 #s(approx (+ ( -4/3 x) 2) (.f64 #s(literal -4/3 binary64) x)) (.f64 x x))))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* (+ (* -4/3 x) 2) x) 2) x) 2) (.f64 #s(approx (+ ( -4/3 x) 2) (.f64 #s(literal -4/3 binary64) x)) (.f64 x x)))))
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* (+ (* -4/3 x) 2) x) 2) x) 2) (.f64 #s(approx (+ ( -4/3 x) 2) (.f64 #s(literal -4/3 binary64) x)) (.f64 x x))))
#s(approx (+ (* (- (* (+ (* -4/3 x) 2) x) 2) x) 2) (.f64 #s(approx (+ ( -4/3 x) 2) (.f64 #s(literal -4/3 binary64) x)) (.f64 x x)))
(sqrt.f64 (exp.f64 (*.f64 #s(literal -4 binary64) x)))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 (*.f64 #s(literal -4 binary64) x))))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 (*.f64 #s(literal -4 binary64) x)))))
(+.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 (*.f64 #s(literal -4 binary64) x))))
(-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.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))) (pow.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)) #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.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 4 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 x #s(literal -2 binary64))
#s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x))
(exp.f64 (*.f64 #s(literal -4 binary64) x))
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 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)))))
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)))
1/2
(+ 1/2 (* 3/4 x))
(+ 1/2 (* x (+ 3/4 (* 1/8 x))))
(+ 1/2 (* x (+ 3/4 (* x (+ 1/8 (* -5/16 x))))))
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 x)))
(+ 1 (* x (+ 2 (* x (+ 1 (* -2/3 x))))))
4
(+ 4 (* -8 x))
(+ 4 (* x (- (* 12 x) 8)))
(+ 4 (* x (- (* x (+ 12 (* -40/3 x))) 8)))
(* -2 x)
(+ 2 (* -4/3 x))
(+ 1 (* -4 x))
(+ 1 (* x (- (* 8 x) 4)))
(+ 1 (* x (- (* x (+ 8 (* -32/3 x))) 4)))
(+ 2 x)
(+ 2 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 2 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(* 2/15 (pow x 5))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(- (* 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))))
(+ 1 (exp (* -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)))))
(sqrt (exp (* -4 x)))
(- (* 2 (/ 1 (+ 1 (sqrt (exp (* -4 x)))))) 1)
(/ 2 (+ 1 (sqrt (exp (* -4 x)))))
(+ 1 (sqrt (exp (* -4 x))))
(- (* 4 (/ 1 (* (+ 1 (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2)))))) (pow (+ 1 (/ 1 (pow (exp x) 2))) 2)))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2))))))))
(/ 4 (* (+ 1 (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2)))))) (pow (+ 1 (/ 1 (pow (exp x) 2))) 2)))
(/ 4 (pow (+ 1 (/ 1 (pow (exp x) 2))) 2))
(pow (+ 1 (/ 1 (pow (exp x) 2))) 2)
(* -4/3 x)
(* x (- (* 2 (/ 1 x)) 4/3))
(exp (* -4 x))
(+ 1 (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2))))))
(* -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 (* x (- 4/3 (* 2 (/ 1 x)))))

Calls

3 calls:

Time

Variable

Point

Expression

8.0ms

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

7.0ms

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

5.0ms

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

simplify152.0ms (1.9%)

Memory

-1.4MiB live, 149.4MiB allocated; 26ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	192	683
1	558	661
2	1663	640
3	5976	638
0	8277	602

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 71

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)))))
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)))
1/2
(+ 1/2 (* 3/4 x))
(+ 1/2 (* x (+ 3/4 (* 1/8 x))))
(+ 1/2 (* x (+ 3/4 (* x (+ 1/8 (* -5/16 x))))))
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 x)))
(+ 1 (* x (+ 2 (* x (+ 1 (* -2/3 x))))))
4
(+ 4 (* -8 x))
(+ 4 (* x (- (* 12 x) 8)))
(+ 4 (* x (- (* x (+ 12 (* -40/3 x))) 8)))
(* -2 x)
(+ 2 (* -4/3 x))
(+ 1 (* -4 x))
(+ 1 (* x (- (* 8 x) 4)))
(+ 1 (* x (- (* x (+ 8 (* -32/3 x))) 4)))
(+ 2 x)
(+ 2 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 2 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(* 2/15 (pow x 5))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(- (* 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))))
(+ 1 (exp (* -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)))))
(sqrt (exp (* -4 x)))
(- (* 2 (/ 1 (+ 1 (sqrt (exp (* -4 x)))))) 1)
(/ 2 (+ 1 (sqrt (exp (* -4 x)))))
(+ 1 (sqrt (exp (* -4 x))))
(- (* 4 (/ 1 (* (+ 1 (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2)))))) (pow (+ 1 (/ 1 (pow (exp x) 2))) 2)))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2))))))))
(/ 4 (* (+ 1 (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2)))))) (pow (+ 1 (/ 1 (pow (exp x) 2))) 2)))
(/ 4 (pow (+ 1 (/ 1 (pow (exp x) 2))) 2))
(pow (+ 1 (/ 1 (pow (exp x) 2))) 2)
(* -4/3 x)
(* x (- (* 2 (/ 1 x)) 4/3))
(exp (* -4 x))
(+ 1 (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2))))))
(* -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 (* 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)) (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #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 (.f64 #s(literal 2/15 binary64) x) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -17/315 binary64)) #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 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) x)
-1/3
#s(literal -1/3 binary64)
(- (* 2/15 (pow x 2)) 1/3)
(-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 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 #s(literal 1 binary64) x))
(+ 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 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) 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 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 3/4 x))
(fma.f64 #s(literal 3/4 binary64) x #s(literal 1/2 binary64))
(+ 1/2 (* x (+ 3/4 (* 1/8 x))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 3/4 binary64)) x #s(literal 1/2 binary64))
(+ 1/2 (* x (+ 3/4 (* x (+ 1/8 (* -5/16 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 3/4 binary64)) x #s(literal 1/2 binary64))
(+ 1 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 2 x)))
(fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* x (+ 1 (* -2/3 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)) x #s(literal 1 binary64))
4
#s(literal 4 binary64)
(+ 4 (* -8 x))
(fma.f64 #s(literal -8 binary64) x #s(literal 4 binary64))
(+ 4 (* x (- (* 12 x) 8)))
(fma.f64 (-.f64 (*.f64 #s(literal 12 binary64) x) #s(literal 8 binary64)) x #s(literal 4 binary64))
(+ 4 (* x (- (* x (+ 12 (* -40/3 x))) 8)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -40/3 binary64) x #s(literal 12 binary64)) x) #s(literal 8 binary64)) x #s(literal 4 binary64))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(+ 2 (* -4/3 x))
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
(+ 1 (* -4 x))
(fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* 8 x) 4)))
(fma.f64 (-.f64 (*.f64 #s(literal 8 binary64) x) #s(literal 4 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 8 (* -32/3 x))) 4)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -32/3 binary64) x #s(literal 8 binary64)) x) #s(literal 4 binary64)) x #s(literal 1 binary64))
(+ 2 x)
(+.f64 #s(literal 2 binary64) x)
(+ 2 (* x (+ 1 (* -1/3 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 2 binary64) x))
(+ 2 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(+.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 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)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))))
(* 2/15 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/15 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (.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))
(* x (- (* 2 (/ 1 x)) 2))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)
(* -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 (-.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)))
(sqrt (exp (* -4 x)))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(- (* 2 (/ 1 (+ 1 (sqrt (exp (* -4 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 (sqrt (exp (* -4 x)))))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(+ 1 (sqrt (exp (* -4 x))))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(- (* 4 (/ 1 (* (+ 1 (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2)))))) (pow (+ 1 (/ 1 (pow (exp x) 2))) 2)))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2))))))))
(-.f64 (/.f64 (/.f64 #s(literal 4 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))) (pow.f64 (+.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 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))))
(/ 4 (* (+ 1 (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2)))))) (pow (+ 1 (/ 1 (pow (exp x) 2))) 2)))
(/.f64 (/.f64 #s(literal 4 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))) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/ 4 (pow (+ 1 (/ 1 (pow (exp x) 2))) 2))
(/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(pow (+ 1 (/ 1 (pow (exp x) 2))) 2)
(pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 2 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)
(exp (* -4 x))
(pow.f64 (exp.f64 #s(literal -4 binary64)) x)
(+ 1 (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2))))))
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 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 (* x (- 2 (* 2 (/ 1 x)))))
(*.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) 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 (* x (- 4/3 (* 2 (/ 1 x)))))
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -4/3 binary64)) x)

rewrite253.0ms (3.1%)

Memory

-9.7MiB live, 270.4MiB allocated; 36ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	394
0	86	371
1	356	364
2	2537	364
0	8737	345

Stop Event

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

Counts

24 → 466

Calls

Call 1

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

Outputs
(.f64 (fma.f64 (.f64 x x) #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (.f64 x x) #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- ( (* x x) 2/15) 1/3) #s(literal -1/3 binary64))) x)) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64))) x) (.f64 x x))) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- ( (* x x) 2/15) 1/3) #s(literal -1/3 binary64))) x) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- ( (* x x) 2/15) 1/3) #s(literal -1/3 binary64))) x)))
(/.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 #s(approx (- ( (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64))))) (.f64 (fma.f64 (pow.f64 #s(approx (- ( (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 3 binary64)))) (.f64 (fma.f64 (pow.f64 #s(approx (- ( (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 (pow.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (-.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- ( (* x x) 2/15) 1/3) #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 x (neg.f64 x)))) (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64))) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (fma.f64 (pow.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 x (neg.f64 x))) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64))) x))
(/.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (pow.f64 #s(approx (- ( (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(approx (- ( (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- ( (* x x) 2/15) 1/3) #s(literal -1/3 binary64))))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- ( (* x x) 2/15) 1/3) #s(literal -1/3 binary64))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- ( (* x x) 2/15) 1/3) #s(literal -1/3 binary64))))
(fma.f64 (.f64 #s(approx (- ( (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) x) (*.f64 x x) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) x)
(fma.f64 (.f64 (.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) x) x) x x)
(fma.f64 (.f64 x x) (.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) x) x)
(fma.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 x (.f64 (.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) x) x) x)
(-.f64 (/.f64 (.f64 (pow.f64 #s(approx (- ( (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- ( (* x x) 2/15) 1/3) #s(literal -1/3 binary64))) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64))) x)))
(-.f64 x (.f64 (neg.f64 (.f64 (.f64 #s(approx (- ( (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) x) x)) x))
(-.f64 x (.f64 (neg.f64 #s(approx (- ( (* x x) 2/15) 1/3) #s(literal -1/3 binary64))) (pow.f64 x #s(literal 3 binary64))))
(-.f64 x (.f64 (neg.f64 x) (.f64 (.f64 #s(approx (- ( (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) x) x)))
(+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 #s(approx (- ( (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- ( (* x x) 2/15) 1/3) #s(literal -1/3 binary64))) x)
(+.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- ( (* x x) 2/15) 1/3) #s(literal -1/3 binary64))))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 (.f64 x x) #s(approx (- ( (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 1 binary64))))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) x))
(.f64 (.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) x) x)
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64))))
(.f64 (.f64 x x) #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)))
(.f64 #s(approx (- ( (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x))
(.f64 x (.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) x))
(log.f64 (pow.f64 (exp.f64 x) (.f64 #s(approx (- ( (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) x)))
#s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64))
(/.f64 (-.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 (/.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 (/.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 2 binary64)))
(/.f64 (-.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 (+.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))) #s(literal 1 binary64))) (.f64 (+.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 (/.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)))))
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(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 #s(literal -4 binary64) x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 #s(literal -4 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (.f64 #s(literal -4 binary64) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 #s(literal -4 binary64) x)) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 #s(literal -4 binary64) x)) (sinh.f64 (*.f64 #s(literal -4 binary64) x))))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 #s(literal -4 binary64) x))))
(fma.f64 (cosh.f64 (.f64 #s(literal -2 binary64) x)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (cosh.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (sinh.f64 (*.f64 #s(literal -2 binary64) x))))
(fma.f64 #s(literal 2 binary64) (.f64 (sinh.f64 (.f64 #s(literal -2 binary64) x)) (cosh.f64 (.f64 #s(literal -2 binary64) x))) (cosh.f64 (.f64 #s(literal -4 binary64) x)))
(sqrt.f64 (pow.f64 (exp.f64 x) #s(literal -8 binary64)))
(fabs.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 x) #s(literal -8 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -4 binary64) x) #s(literal 1 binary64)))
(exp.f64 (*.f64 #s(literal -4 binary64) x))
(+.f64 (.f64 (cosh.f64 (.f64 #s(literal -2 binary64) x)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (.f64 (sinh.f64 (.f64 #s(literal -2 binary64) x)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
(+.f64 (.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (cosh.f64 (.f64 #s(literal -2 binary64) x))) (.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (sinh.f64 (.f64 #s(literal -2 binary64) x))))
(+.f64 (sinh.f64 (.f64 #s(literal -4 binary64) x)) (cosh.f64 (.f64 #s(literal -4 binary64) x)))
(+.f64 (cosh.f64 (.f64 #s(literal -4 binary64) x)) (sinh.f64 (.f64 #s(literal -4 binary64) x)))
(.f64 (/.f64 (expm1.f64 (.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 2 binary64))) (expm1.f64 (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 3 binary64)))) (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #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)))))
(.f64 (/.f64 (expm1.f64 (.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 2 binary64))) (expm1.f64 (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 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 (/.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))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.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 (/.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))) (*.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 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 (fma.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 4 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #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)))) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #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)))) #s(literal 1 binary64))) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #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)))) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #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))))))
(/.f64 (exp.f64 (log.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 2 binary64))))) (exp.f64 (log.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 (exp.f64 (log1p.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)))) (exp.f64 (log.f64 (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #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)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 2 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 (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 4 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #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))))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 2 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 (expm1.f64 (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 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 (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 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 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 4 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #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)))))
(fma.f64 (fabs.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (.f64 #s(literal -4 binary64) x)))) (fabs.f64 (expm1.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -4 binary64)) x)))) (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -6 binary64)) #s(literal 1 binary64)))) (fabs.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (pow.f64 (exp.f64 #s(literal -4 binary64)) x))) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -6 binary64)) #s(literal 1 binary64)))) (fabs.f64 (fma.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (expm1.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (.f64 #s(literal -4 binary64) x))) (expm1.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -4 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 x) #s(literal -6 binary64)) #s(literal 1 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (pow.f64 (exp.f64 #s(literal -4 binary64)) x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -6 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (expm1.f64 (*.f64 #s(literal -2 binary64) x)) #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 (/.f64 #s(literal 4 binary64) (pow.f64 (+.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))) (pow.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)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(exp.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(+.f64 (cosh.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))))) (sinh.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 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 4 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #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))))) (pow.f64 (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #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)))) #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))))

eval122.0ms (1.5%)

Memory: 8.1MiB live, 153.7MiB allocated; 18ms collecting garbage
Compiler: Compiled 18 936 to 2 306 computations (87.8% saved)

prune47.0ms (0.6%)

Memory

-27.8MiB live, 76.0MiB allocated; 7ms collecting garbage

Pruning

17 alts after pruning (5 fresh and 12 done)

	Pruned	Kept	Total
New	533	2	535
Fresh	1	3	4
Picked	1	4	5
Done	0	8	8
Total	535	17	552

Accuracy

100.0%

Counts

552 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.5%	(-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.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))) (exp.f64 (neg.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))))))
✓	49.9%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 (*.f64 #s(literal -4 binary64) x))))) #s(literal 1 binary64))
✓	49.9%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
	27.1%	(-.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))
✓	27.2%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.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))
✓	26.9%	(-.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))
✓	24.8%	(-.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))
	24.4%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* (+ (* -4/3 x) 2) x) 2) x) 2) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
✓	24.2%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* (+ (* -4/3 x) 2) x) 2) x) 2) (.f64 #s(approx (+ ( -4/3 x) 2) (.f64 #s(literal -4/3 binary64) x)) (.f64 x x))))) #s(literal 1 binary64))
✓	24.1%	(-.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))
✓	4.1%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
✓	6.1%	(-.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))
	49.9%	(expm1.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
	49.9%	#s(approx (- (/ (/ 4 (pow (+ (pow (exp x) -2) 1) 2)) (+ (/ 2 (+ (pow (exp x) -2) 1)) 1)) (pow (+ (/ 2 (+ (pow (exp x) -2) 1)) 1) -1)) (-.f64 (/.f64 (/.f64 #s(literal 4 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))) (pow.f64 (+.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 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))))
✓	55.6%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (.f64 x x)) x x))
✓	54.2%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 #s(approx (- ( (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x))

Compiler

Compiled 1 017 to 454 computations (55.4% saved)

regimes38.0ms (0.5%)

Memory

36.9MiB live, 81.9MiB allocated; 5ms collecting garbage

Counts

25 → 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 #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)))) 1) (fma.f64 (.f64 #s(approx (- ( (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) 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 (/.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)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #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 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (-.f64 (.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 #s(approx (+ ( -4/3 x) 2) (.f64 #s(literal -4/3 binary64) x)) (.f64 x x))))) #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))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* (+ (* -4/3 x) 2) x) 2) x) 2) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #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 (-.f64 (*.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))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (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))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 (*.f64 #s(literal -4 binary64) x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64))))) #s(literal 1 binary64))
(expm1.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
#s(approx (- (/ (/ 4 (pow (+ (pow (exp x) -2) 1) 2)) (+ (/ 2 (+ (pow (exp x) -2) 1)) 1)) (pow (+ (/ 2 (+ (pow (exp x) -2) 1)) 1) -1)) (-.f64 (/.f64 (/.f64 #s(literal 4 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))) (pow.f64 (+.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 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.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))) (pow.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)) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.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))) (exp.f64 (neg.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))))))
(-.f64 (/.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #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))))) (pow.f64 (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #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)))) #s(literal -1 binary64)))

Outputs

(expm1.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))

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

(-.f64 (/.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #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))))) (pow.f64 (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #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)))) #s(literal -1 binary64)))

Calls

6 calls:

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

regimes40.0ms (0.5%)

Memory

-0.1MiB live, 89.9MiB allocated; 8ms collecting garbage

Counts

24 → 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 #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)))) 1) (fma.f64 (.f64 #s(approx (- ( (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) 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 (/.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)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #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 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (-.f64 (.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 #s(approx (+ ( -4/3 x) 2) (.f64 #s(literal -4/3 binary64) x)) (.f64 x x))))) #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))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* (+ (* -4/3 x) 2) x) 2) x) 2) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #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 (-.f64 (*.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))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (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))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 (*.f64 #s(literal -4 binary64) x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64))))) #s(literal 1 binary64))
(expm1.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
#s(approx (- (/ (/ 4 (pow (+ (pow (exp x) -2) 1) 2)) (+ (/ 2 (+ (pow (exp x) -2) 1)) 1)) (pow (+ (/ 2 (+ (pow (exp x) -2) 1)) 1) -1)) (-.f64 (/.f64 (/.f64 #s(literal 4 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))) (pow.f64 (+.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 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.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))) (pow.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)) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.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))) (exp.f64 (neg.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))))))

Outputs

(expm1.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))

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

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

Calls

6 calls:

10.0ms	x
7.0ms	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
6.0ms	(*.f64 #s(literal -2 binary64) x)
5.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) 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))

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)

regimes69.0ms (0.9%)

Memory

-11.8MiB live, 48.3MiB allocated; 10ms collecting garbage

Counts

21 → 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 #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)))) 1) (fma.f64 (.f64 #s(approx (- ( (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) 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 (/.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)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #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 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (-.f64 (.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 #s(approx (+ ( -4/3 x) 2) (.f64 #s(literal -4/3 binary64) x)) (.f64 x x))))) #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))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* (+ (* -4/3 x) 2) x) 2) x) 2) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #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 (-.f64 (*.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))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (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))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 (*.f64 #s(literal -4 binary64) x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64))))) #s(literal 1 binary64))
(expm1.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))

Outputs

(expm1.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))

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

(expm1.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))

Calls

6 calls:

42.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
6.0ms	(*.f64 #s(literal -2 binary64) x)
6.0ms	x
4.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
4.0ms	(+.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)

regimes40.0ms (0.5%)

Memory

-16.2MiB live, 71.8MiB allocated; 11ms collecting garbage

Counts

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

Outputs

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

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

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

Calls

6 calls:

12.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
9.0ms	(*.f64 #s(literal -2 binary64) x)
6.0ms	x
4.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
4.0ms	(+.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)

regimes30.0ms (0.4%)

Memory

14.8MiB live, 58.4MiB allocated; 5ms collecting garbage

Counts

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

6.0ms	(exp.f64 (*.f64 #s(literal -2 binary64) x))
5.0ms	x
5.0ms	(*.f64 #s(literal -2 binary64) x)
4.0ms	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
4.0ms	(/.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)

regimes50.0ms (0.6%)

Memory

11.7MiB live, 67.1MiB allocated; 8ms collecting garbage

Counts

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

Outputs

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

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

Calls

6 calls:

28.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
5.0ms	(*.f64 #s(literal -2 binary64) x)
5.0ms	x
4.0ms	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
4.0ms	(exp.f64 (*.f64 #s(literal -2 binary64) x))

Results

Accuracy	Segments	Branch
77.9%	2	`(*.f64 #s(literal -2 binary64) x)`
77.9%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
77.9%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
77.9%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
77.9%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
77.9%	2	`x`

Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes34.0ms (0.4%)

Memory

-30.3MiB live, 17.2MiB allocated; 1ms 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 #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)))) 1) (fma.f64 (.f64 #s(approx (- ( (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) 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 (/.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)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #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 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (-.f64 (.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 #s(approx (+ ( -4/3 x) 2) (.f64 #s(literal -4/3 binary64) x)) (.f64 x x))))) #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))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* (+ (* -4/3 x) 2) x) 2) x) 2) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x)))) #s(literal 1 binary64))

Outputs

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
77.9%	2	`(*.f64 #s(literal -2 binary64) x)`
77.9%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
77.9%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
77.9%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
77.9%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
77.9%	2	`x`

Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes20.0ms (0.2%)

Memory

27.8MiB live, 27.8MiB allocated; 0ms collecting garbage

Counts

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

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 (-.f64 (*.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
77.9%	2	`(*.f64 #s(literal -2 binary64) x)`
77.9%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
77.9%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
77.9%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
77.9%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
77.9%	2	`x`

Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes22.0ms (0.3%)

Memory

-8.8MiB live, 35.4MiB allocated; 4ms collecting garbage

Counts

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

Outputs

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

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

Calls

6 calls:

6.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
4.0ms	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 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))

Results

Accuracy	Segments	Branch
77.9%	2	`(*.f64 #s(literal -2 binary64) x)`
77.9%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
77.9%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
77.9%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
77.9%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
77.9%	2	`x`

Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes20.0ms (0.2%)

Memory

-7.6MiB live, 35.5MiB allocated; 5ms 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 #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)))) 1) (fma.f64 (.f64 #s(approx (- ( (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) 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 (/.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)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #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 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (-.f64 (.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))) (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 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x x))

Calls

6 calls:

5.0ms	(exp.f64 (*.f64 #s(literal -2 binary64) x))
3.0ms	x
3.0ms	(*.f64 #s(literal -2 binary64) x)
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
77.8%	2	`(*.f64 #s(literal -2 binary64) x)`
77.8%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
77.8%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
77.8%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
77.8%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
77.8%	2	`x`

Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes18.0ms (0.2%)

Memory

-21.8MiB live, 37.3MiB allocated; 3ms collecting garbage

Counts

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
77.1%	2	`(*.f64 #s(literal -2 binary64) x)`
77.1%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
77.1%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
77.1%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
77.1%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
77.1%	2	`x`

Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes14.0ms (0.2%)

Memory

13.6MiB live, 13.6MiB allocated; 0ms collecting garbage

Counts

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

Outputs

(-.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))

#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x 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 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
2.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))

Results

Accuracy	Segments	Branch
77.0%	2	`(*.f64 #s(literal -2 binary64) x)`
77.0%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
77.0%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
77.0%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
77.0%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
77.0%	2	`x`

Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes11.0ms (0.1%)

Memory

20.5MiB live, 20.5MiB allocated; 0ms collecting garbage

Counts

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

Outputs

(-.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))

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

Calls

6 calls:

2.0ms	x
2.0ms	(*.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
77.0%	2	`(*.f64 #s(literal -2 binary64) x)`
77.0%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
77.0%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
77.0%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
77.0%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
77.0%	2	`x`

Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes11.0ms (0.1%)

Memory

-26.3MiB live, 20.2MiB allocated; 2ms collecting garbage

Counts

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
54.2%	1	`(*.f64 #s(literal -2 binary64) x)`
54.2%	1	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
54.2%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
54.2%	1	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
54.2%	1	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
54.2%	1	`x`

Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes9.0ms (0.1%)

Memory

18.6MiB live, 18.6MiB allocated; 0ms 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 #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))

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

Calls

6 calls:

2.0ms	(*.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
6.1%	1	`(*.f64 #s(literal -2 binary64) x)`
6.1%	1	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
6.1%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
6.1%	1	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
6.1%	1	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
6.1%	1	`x`

Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes6.0ms (0.1%)

Memory

13.6MiB live, 13.6MiB 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	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))

Results

Accuracy	Segments	Branch
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))`
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)))`

Compiler

Compiled 32 to 31 computations (3.1% saved)

bsearch37.0ms (0.5%)

Memory

-30.6MiB live, 61.9MiB allocated; 5ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	3.816530744890978e-18	0.09386186042235817
16.0ms	-0.05007577521533018	-1.7709547098247102e-9

Samples

16.0ms	288×	0	valid
2.0ms	16×	1	valid

Compiler

Compiled 1 167 to 722 computations (38.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-exp: 3.0ms (25.8% of total)

ival-div: 2.0ms (17.2% of total)

ival-add: 2.0ms (17.2% of total)

ival-mult: 2.0ms (17.2% of total)

adjust: 1.0ms (8.6% of total)

ival-sub: 1.0ms (8.6% of total)

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

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

exact: 0.0ms (0% of total)

bsearch14.0ms (0.2%)

Memory

18.7MiB live, 18.7MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	3.816530744890978e-18	0.09386186042235817
1.0ms	-0.05007577521533018	-1.7709547098247102e-9

Samples

6.0ms

112×

valid

Compiler

Compiled 1 297 to 822 computations (36.6% saved)

Precisions

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

ival-div: 1.0ms (25.3% of total)

ival-add: 1.0ms (25.3% of total)

ival-exp: 1.0ms (25.3% of total)

ival-mult: 1.0ms (25.3% of total)

ival-sub: 1.0ms (25.3% 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)

bsearch3.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.816530744890978e-18	0.09386186042235817
1.0ms	-0.05007577521533018	-1.7709547098247102e-9

Compiler

Compiled 697 to 602 computations (13.6% saved)

bsearch15.0ms (0.2%)

Memory

21.5MiB live, 21.5MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
3.0ms	3.816530744890978e-18	0.09386186042235817
11.0ms	-0.05007577521533018	-1.7709547098247102e-9

Samples

7.0ms

128×

valid

Compiler

Compiled 735 to 621 computations (15.5% saved)

Precisions

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

ival-div: 1.0ms (22.5% of total)

ival-add: 1.0ms (22.5% of total)

ival-exp: 1.0ms (22.5% of total)

ival-mult: 1.0ms (22.5% of total)

ival-sub: 1.0ms (22.5% 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)

bsearch5.0ms (0.1%)

Memory

-47.0MiB live, 3.2MiB allocated; 6ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.816530744890978e-18	0.09386186042235817
4.0ms	-0.05007577521533018	-1.7709547098247102e-9

Compiler

Compiled 716 to 602 computations (15.9% saved)

bsearch12.0ms (0.2%)

Memory

20.7MiB live, 20.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	-7.689468750445597	-0.05007577521533018

Samples

6.0ms

112×

valid

Compiler

Compiled 342 to 258 computations (24.6% saved)

Precisions

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

ival-div: 1.0ms (24.9% of total)

ival-add: 1.0ms (24.9% of total)

ival-exp: 1.0ms (24.9% of total)

ival-mult: 1.0ms (24.9% 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

3.6MiB live, 3.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
3.0ms	-7.689468750445597	-0.05007577521533018

Samples

1.0ms

16×

valid

Compiler

Compiled 433 to 321 computations (25.9% 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)

bsearch8.0ms (0.1%)

Memory

12.3MiB live, 12.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	-7.689468750445597	-0.05007577521533018

Samples

4.0ms

64×

valid

Compiler

Compiled 419 to 314 computations (25.1% saved)

Precisions

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

ival-exp: 1.0ms (42.8% of total)

ival-mult: 1.0ms (42.8% of total)

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

ival-add: 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)

bsearch5.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	-7.689468750445597	-0.05007577521533018

Samples

2.0ms

32×

valid

Compiler

Compiled 454 to 321 computations (29.3% 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)

bsearch5.0ms (0.1%)

Memory

-44.1MiB live, 1.9MiB allocated; 5ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	-7.689468750445597	-0.05007577521533018

Compiler

Compiled 314 to 244 computations (22.3% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-7.689468750445597	-0.05007577521533018

Compiler

Compiled 328 to 265 computations (19.2% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-7.689468750445597	-0.05007577521533018

Compiler

Compiled 307 to 258 computations (16% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-7.689468750445597	-0.05007577521533018

Compiler

Compiled 342 to 279 computations (18.4% saved)

simplify80.0ms (1%)

Memory

13.4MiB live, 59.7MiB allocated; 3ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	160	841
1	222	841
2	346	841
3	738	841
4	3566	841

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -48999163945791/72057594037927936 binary64)) (expm1.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) (if (<=.f64 x #s(literal 6640827866535439/9223372036854775808 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 #s(approx (- ( (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) (-.f64 (/.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #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))))) (pow.f64 (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #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)))) #s(literal -1 binary64)))))
(if (<=.f64 x #s(literal -48999163945791/72057594037927936 binary64)) (expm1.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) (if (<=.f64 x #s(literal 7839866231326559/9223372036854775808 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 #s(approx (- ( (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) #s(approx (- (/ (/ 4 (pow (+ (pow (exp x) -2) 1) 2)) (+ (/ 2 (+ (pow (exp x) -2) 1)) 1)) (pow (+ (/ 2 (+ (pow (exp x) -2) 1)) 1) -1)) (-.f64 (/.f64 (/.f64 #s(literal 4 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))) (pow.f64 (+.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 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))))))
(if (<=.f64 x #s(literal -48999163945791/72057594037927936 binary64)) (expm1.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) (if (<=.f64 x #s(literal 7839866231326559/9223372036854775808 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 #s(approx (- ( (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) (expm1.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))))
(if (<=.f64 x #s(literal -7839866231326559/9223372036854775808 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 (.f64 #s(literal -4 binary64) x))))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 4150517416584649/4611686018427387904 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 (.f64 #s(approx (- ( (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (.f64 x x)) x x)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 (.f64 #s(literal -4 binary64) x))))) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -7839866231326559/9223372036854775808 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 4150517416584649/4611686018427387904 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 (.f64 #s(approx (- ( (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (.f64 x x)) x 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 x #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (.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)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (.f64 x x)) x x)))
(if (<=.f64 x #s(literal -2589569785738035/2251799813685248 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* (+ (* -4/3 x) 2) x) 2) x) 2) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #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 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (.f64 x x)) x x)))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 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 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (.f64 x x)) x x)))
(if (<=.f64 x #s(literal -6980579422424269/4503599627370496 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* (+ (* -4/3 x) 2) x) 2) x) 2) (.f64 #s(approx (+ ( -4/3 x) 2) (.f64 #s(literal -4/3 binary64) x)) (.f64 x x))))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (.f64 x x)) x x)))
(if (<=.f64 x #s(literal -2589569785738035/2251799813685248 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 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (.f64 x x)) x x)))
(if (<=.f64 x #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 #s(approx (- ( (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 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)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 #s(approx (- ( (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)))
(if (<=.f64 x #s(literal -6980579422424269/4503599627370496 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)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 (.f64 #s(approx (- ( (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 #s(approx (- ( (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #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 -48999163945791/72057594037927936 binary64)) (expm1.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) (if (<=.f64 x #s(literal 6640827866535439/9223372036854775808 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 #s(approx (- ( (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) (-.f64 (/.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #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))))) (pow.f64 (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #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)))) #s(literal -1 binary64)))))
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(if (<=.f64 x #s(literal -48999163945791/72057594037927936 binary64)) (expm1.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) (if (<=.f64 x #s(literal 7839866231326559/9223372036854775808 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 #s(approx (- ( (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) #s(approx (- (/ (/ 4 (pow (+ (pow (exp x) -2) 1) 2)) (+ (/ 2 (+ (pow (exp x) -2) 1)) 1)) (pow (+ (/ 2 (+ (pow (exp x) -2) 1)) 1) -1)) (-.f64 (/.f64 (/.f64 #s(literal 4 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))) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.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)) #s(literal -1 binary64))))))
(if (<=.f64 x #s(literal -48999163945791/72057594037927936 binary64)) (expm1.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) (if (<=.f64 x #s(literal 7839866231326559/9223372036854775808 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 #s(approx (- ( (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) (expm1.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))))
(if (or (<=.f64 x #s(literal -48999163945791/72057594037927936 binary64)) (not (<=.f64 x #s(literal 7839866231326559/9223372036854775808 binary64)))) (expm1.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 #s(approx (- ( (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)))
(if (<=.f64 x #s(literal -7839866231326559/9223372036854775808 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 (.f64 #s(literal -4 binary64) x))))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 4150517416584649/4611686018427387904 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 (.f64 #s(approx (- ( (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (.f64 x x)) x x)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 (.f64 #s(literal -4 binary64) x))))) #s(literal 1 binary64))))
(if (or (<=.f64 x #s(literal -7839866231326559/9223372036854775808 binary64)) (not (<=.f64 x #s(literal 4150517416584649/4611686018427387904 binary64)))) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 (.f64 #s(literal -4 binary64) x))))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 (.f64 #s(approx (- ( (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)))
(if (<=.f64 x #s(literal -7839866231326559/9223372036854775808 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 4150517416584649/4611686018427387904 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 (.f64 #s(approx (- ( (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (.f64 x x)) x 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 -7839866231326559/9223372036854775808 binary64)) (not (<=.f64 x #s(literal 4150517416584649/4611686018427387904 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 #s(approx (- ( (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)))
(if (<=.f64 x #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (.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)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (.f64 x x)) x x)))
(if (<=.f64 x #s(literal -2589569785738035/2251799813685248 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* (+ (* -4/3 x) 2) x) 2) x) 2) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #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 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (.f64 x x)) x x)))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 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 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (.f64 x x)) x x)))
(if (<=.f64 x #s(literal -6980579422424269/4503599627370496 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* (+ (* -4/3 x) 2) x) 2) x) 2) (.f64 #s(approx (+ ( -4/3 x) 2) (.f64 #s(literal -4/3 binary64) x)) (.f64 x x))))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (.f64 x x)) x x)))
(if (<=.f64 x #s(literal -2589569785738035/2251799813685248 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 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (.f64 x x)) x x)))
(if (<=.f64 x #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 #s(approx (- ( (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 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)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 #s(approx (- ( (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)))
(if (<=.f64 x #s(literal -6980579422424269/4503599627370496 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)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 (.f64 #s(approx (- ( (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 #s(approx (- ( (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))

derivations1.4s (17.7%)

Memory

-5.1MiB live, 960.5MiB allocated; 117ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	192	683
1	558	661
2	1663	640
3	5976	638
0	8277	602
0	37	240
0	59	240
1	257	240
2	1976	240
0	9133	240
0	148	522
1	417	502
2	1343	496
3	5429	494
0	8169	473
0	122	416
1	355	396
2	1229	392
3	5136	388
0	8231	371
0	9	31
0	14	31
1	51	31
2	344	31
3	4337	31
0	9529	30
0	47	297
0	70	283
1	296	283
2	2241	283
0	9077	277
0	49	164
1	146	164
2	393	154
3	1320	154
4	3176	154
5	7220	154
0	8240	140

Stop Event

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

Compiler

Compiled 841 to 169 computations (79.9% saved)

preprocess87.0ms (1.1%)

Memory: 21.8MiB live, 207.6MiB allocated; 17ms collecting garbage
Compiler: Compiled 1 702 to 356 computations (79.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample2.3s (28.8%)

explain165.0ms (2.1%)

preprocess175.0ms (2.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify164.0ms (2%)

localize44.0ms (0.5%)

series5.0ms (0.1%)

simplify134.0ms (1.7%)

rewrite193.0ms (2.4%)

eval40.0ms (0.5%)

prune15.0ms (0.2%)

simplify107.0ms (1.3%)

localize141.0ms (1.8%)

series10.0ms (0.1%)

simplify129.0ms (1.6%)

rewrite169.0ms (2.1%)

eval99.0ms (1.2%)

prune18.0ms (0.2%)

simplify145.0ms (1.8%)

localize273.0ms (3.4%)

series13.0ms (0.2%)

simplify122.0ms (1.5%)

rewrite187.0ms (2.3%)

eval98.0ms (1.2%)

prune19.0ms (0.2%)

simplify117.0ms (1.4%)

localize425.0ms (5.3%)

series22.0ms (0.3%)

simplify152.0ms (1.9%)

rewrite253.0ms (3.1%)

eval122.0ms (1.5%)

prune47.0ms (0.6%)

regimes38.0ms (0.5%)

regimes40.0ms (0.5%)

regimes69.0ms (0.9%)

regimes40.0ms (0.5%)

regimes30.0ms (0.4%)

regimes50.0ms (0.6%)

regimes34.0ms (0.4%)

regimes20.0ms (0.2%)

regimes22.0ms (0.3%)

regimes20.0ms (0.2%)

regimes18.0ms (0.2%)

regimes14.0ms (0.2%)

regimes11.0ms (0.1%)

regimes11.0ms (0.1%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch37.0ms (0.5%)

bsearch14.0ms (0.2%)

bsearch3.0ms (0%)

bsearch15.0ms (0.2%)

bsearch5.0ms (0.1%)

bsearch12.0ms (0.2%)

bsearch3.0ms (0%)

bsearch8.0ms (0.1%)

bsearch5.0ms (0.1%)

bsearch5.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify80.0ms (1%)

derivations1.4s (17.7%)

preprocess87.0ms (1.1%)

end0.0ms (0%)

Profiling