Metrics for Logistic function from Lakshay Garg

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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)

sample2.0s (22.8%)

Memory

-143.8MiB live, 1 313.8MiB allocated; 1.4s collecting garbage

Samples

898.0ms	2 320×	1	valid
579.0ms	1 712×	2	valid
252.0ms	4 224×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.5s

adjust: 742.0ms (49% of total)

ival-exp: 411.0ms (27.1% of total)

ival-div: 112.0ms (7.4% of total)

ival-mult: 87.0ms (5.7% of total)

ival-add: 76.0ms (5% of total)

ival-sub: 66.0ms (4.4% of total)

exact: 11.0ms (0.7% of total)

ival-true: 6.0ms (0.4% of total)

ival-assert: 4.0ms (0.3% of total)

Bogosity

explain151.0ms (1.7%)

Memory

-5.4MiB live, 231.4MiB allocated; 17ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
124	-	-	`(-.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	124	0

Confusion

	Predicted +	Predicted -
+	124	0
-	0	132

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	124	0	0
-	0	0	132

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	132
1	124

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

38.0ms	122×	2	valid
20.0ms	126×	1	valid
20.0ms	264×	0	valid

Compiler

Compiled 84 to 31 computations (63.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-exp: 24.0ms (43.6% of total)

adjust: 10.0ms (18.2% of total)

ival-div: 6.0ms (10.9% of total)

ival-add: 5.0ms (9.1% of total)

ival-sub: 4.0ms (7.3% of total)

ival-mult: 4.0ms (7.3% of total)

exact: 1.0ms (1.8% of total)

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

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

preprocess473.0ms (5.3%)

Memory

27.0MiB live, 525.4MiB allocated; 109ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	23	21
2	54	21
3	168	21
4	720	20
0	9	10
0	14	10
1	24	10
2	46	10
3	114	10
4	498	10
5	5288	10
0	8383	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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.9%	(-.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)

simplify603.0ms (6.7%)

Memory

19.1MiB live, 549.9MiB allocated; 123ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	35
0	14	35
1	24	35
2	46	35
3	114	35
4	498	35
5	5288	35
0	8383	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

localize51.0ms (0.6%)

Memory

-3.2MiB live, 42.6MiB allocated; 6ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 (*.f64 #s(literal -2 binary64) x))
accuracy	0.0078125	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
accuracy	0.015625	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
accuracy	28.824934812313778	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))

Samples

19.0ms	61×	2	valid
10.0ms	63×	1	valid
8.0ms	132×	0	valid

Compiler

Compiled 37 to 11 computations (70.3% saved)

Precisions

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

ival-exp: 12.0ms (43% of total)

adjust: 5.0ms (17.9% of total)

ival-div: 3.0ms (10.8% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

series4.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated; 0ms collecting garbage

Counts

4 → 19

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

-inf

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

1.0ms

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

simplify318.0ms (3.5%)

Memory

24.7MiB live, 296.4MiB allocated; 68ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	161
1	146	161
2	444	151
3	1675	151
4	6978	151
0	8508	130

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 18

Calls

Call 1

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

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

rewrite71.0ms (0.8%)

Memory

-2.2MiB live, 142.6MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
0	14	28
1	51	28
0	391	28

Stop Event

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

Counts

4 → 57

Calls

Call 1

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

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

eval23.0ms (0.3%)

Memory: -19.1MiB live, 28.4MiB allocated; 1ms collecting garbage
Compiler: Compiled 1 368 to 300 computations (78.1% saved)

prune5.0ms (0.1%)

Memory

14.8MiB live, 14.6MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	70	5	75
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	70	6	76

Accuracy

100.0%

Counts

76 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.9%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
▶	31.9%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
▶	31.6%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
▶	6.0%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
▶	4.3%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	48.8%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))

Compiler

Compiled 162 to 139 computations (14.2% saved)

simplify892.0ms (10%)

Memory

26.7MiB live, 632.4MiB allocated; 126ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	194
0	44	194
1	65	194
2	145	194
3	456	194
4	2071	194
0	8387	194

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

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

localize124.0ms (1.4%)

Memory

-12.0MiB live, 135.0MiB allocated; 29ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))
accuracy	0.015625	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))))
accuracy	21.518351772633853	#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))
accuracy	28.824934812313778	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
accuracy	0.0	(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
accuracy	0.015625	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))
accuracy	28.824934812313778	(-.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	31.86499421386644	#s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))
accuracy	0.0	(-.f64 x #s(literal -1 binary64))
accuracy	28.824934812313778	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
accuracy	31.84261471443623	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64)))
accuracy	28.824934812313778	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	29.84609574679156	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64))
accuracy	0.0	(pow.f64 x #s(literal 3 binary64))
accuracy	0.06640625	(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
accuracy	32.74728210805489	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))

Samples

43.0ms	61×	2	valid
43.0ms	63×	1	valid
23.0ms	132×	0	valid

Compiler

Compiled 143 to 23 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-div: 19.0ms (21.5% of total)

adjust: 16.0ms (18.1% of total)

ival-add: 15.0ms (17% of total)

ival-exp: 13.0ms (14.7% of total)

ival-pow: 9.0ms (10.2% of total)

ival-mult: 7.0ms (7.9% of total)

ival-sub: 4.0ms (4.5% of total)

const: 4.0ms (4.5% of total)

exact: 1.0ms (1.1% of total)

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

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

series11.0ms (0.1%)

Memory

-30.4MiB live, 14.9MiB allocated; 7ms collecting garbage

Counts

17 → 32

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 3) -1/3) x) (pow x 3) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- x -1) (- (/ 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))) (+ (* (+ (* 2 x) -2) x) 2) (+ (* 2 x) -2))
2.0ms	x	@	inf	((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 3) -1/3) x) (pow x 3) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- x -1) (- (/ 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))) (+ (* (+ (* 2 x) -2) x) 2) (+ (* 2 x) -2))
2.0ms	x	@	0	((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 3) -1/3) x) (pow x 3) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- x -1) (- (/ 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))) (+ (* (+ (* 2 x) -2) x) 2) (+ (* 2 x) -2))

Time

Variable

Point

Expression

6.0ms

-inf

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

2.0ms

inf

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

2.0ms

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

simplify474.0ms (5.3%)

Memory

17.4MiB live, 369.0MiB allocated; 52ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	226
1	222	214
2	764	212
3	3490	212
0	8371	189

Stop Event

1×	iter limit
1×	node limit

Counts

32 → 31

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

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

rewrite74.0ms (0.8%)

Memory

-12.8MiB live, 74.4MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	179
0	44	179
1	197	179
0	1646	179

Stop Event

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

Counts

17 → 172

Calls

Call 1

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

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

eval32.0ms (0.4%)

Memory: 13.5MiB live, 70.0MiB allocated; 11ms collecting garbage
Compiler: Compiled 4 982 to 744 computations (85.1% saved)

prune8.0ms (0.1%)

Memory

-28.7MiB live, 18.5MiB allocated; 2ms collecting garbage

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	191	4	195
Fresh	0	0	0
Picked	3	2	5
Done	0	1	1
Total	194	7	201

Accuracy

100.0%

Counts

201 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.9%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
▶	29.5%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (.f64 (.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
▶	29.1%	(-.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))
▶	5.8%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))
✓	6.0%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
✓	4.3%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	48.8%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))

Compiler

Compiled 120 to 97 computations (19.2% saved)

simplify1.0s (11.5%)

Memory

21.8MiB live, 623.2MiB allocated; 200ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	259
0	51	259
1	86	253
2	215	253
3	726	238
4	2975	238
0	8362	226

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

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

localize116.0ms (1.3%)

Memory

27.8MiB live, 118.3MiB allocated; 20ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.015625	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (.f64 (.f64 x #s(literal 2 binary64)) x))))
accuracy	21.518351772633853	#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (.f64 (.f64 x #s(literal 2 binary64)) x)))
accuracy	28.824934812313778	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (.f64 (.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
accuracy	30.038359432240544	#s(approx (+ (* (+ (* 2 x) -2) x) 2) (.f64 (.f64 x #s(literal 2 binary64)) x))
accuracy	0.015625	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))))
accuracy	28.824934812313778	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
accuracy	30.144998739236996	#s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))
accuracy	31.86499421386644	#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))
accuracy	0.0	(+.f64 #s(literal -1 binary64) x)
accuracy	17.221393409108188	(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) x))
accuracy	28.824934812313778	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))
accuracy	31.84261471443623	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) x)))
accuracy	0.0	(*.f64 x x)
accuracy	0.0625	(.f64 (.f64 x x) x)
accuracy	0.06640625	(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)
accuracy	32.74728210805489	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))

Samples

46.0ms	61×	2	valid
30.0ms	132×	0	valid
23.0ms	63×	1	valid

Compiler

Compiled 149 to 28 computations (81.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

adjust: 26.0ms (32.8% of total)

ival-add: 15.0ms (18.9% of total)

ival-mult: 14.0ms (17.7% of total)

ival-exp: 12.0ms (15.1% of total)

ival-div: 5.0ms (6.3% of total)

const: 4.0ms (5% of total)

ival-sub: 2.0ms (2.5% of total)

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

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

exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB allocated; 0ms collecting garbage

Counts

17 → 34

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

-inf

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

2.0ms

inf

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

1.0ms

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

simplify214.0ms (2.4%)

Memory

-2.5MiB live, 223.5MiB allocated; 48ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	230
1	233	218
2	777	216
3	3520	216
0	8398	194

Stop Event

1×	iter limit
1×	node limit

Counts

34 → 33

Calls

Call 1

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

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

rewrite92.0ms (1%)

Memory

-7.5MiB live, 83.7MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	236
0	51	230
1	217	215
0	1836	203

Stop Event

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

Counts

17 → 181

Calls

Call 1

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

Outputs
(.f64 (.f64 x (fabs.f64 x)) (fabs.f64 x))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 x (neg.f64 x)) (neg.f64 x))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) x))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) x))
(.f64 (.f64 x x) x)
(.f64 x (.f64 x x))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(/.f64 (-.f64 (.f64 x x) (.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 x (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (neg.f64 x)))) (neg.f64 (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (-.f64 x (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))))))
(/.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (neg.f64 x))) (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (-.f64 x (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x x)
(fma.f64 (.f64 #s(literal -1/3 binary64) x) (.f64 x x) x)
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (.f64 #s(literal -1/3 binary64) x)) x)
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (.f64 #s(literal -1/3 binary64) x)) x)
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(fma.f64 (.f64 x x) (.f64 #s(literal -1/3 binary64) x) x)
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x)
(fma.f64 x (.f64 x (.f64 #s(literal -1/3 binary64) x)) x)
(-.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x)) (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x)))
(-.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(-.f64 x (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/3 binary64)))
(-.f64 x (.f64 (neg.f64 (.f64 x x)) (*.f64 #s(literal -1/3 binary64) x)))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (-.f64 x (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (-.f64 x (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))))))
(+.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x)
(+.f64 x (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) x)
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(neg.f64 (*.f64 x (neg.f64 x)))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))) (-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (-.f64 (.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))) (.f64 (.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))
(/.f64 (fma.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 x x) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))))
(neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))
(fma.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
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(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (.f64 (.f64 #s(literal 2 binary64) x) x))))
(neg.f64 (/.f64 #s(literal -2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (.f64 (.f64 #s(literal 2 binary64) x) x)))))
(neg.f64 (/.f64 #s(literal 2 binary64) (neg.f64 #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (.f64 (.f64 #s(literal 2 binary64) x) x))))))
(+.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (.f64 (.f64 #s(literal 2 binary64) x) x)))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (.f64 (.f64 #s(literal 2 binary64) x) x)))))
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (.f64 (.f64 #s(literal 2 binary64) x) x)))
#s(approx (+ (* (+ (* 2 x) -2) x) 2) (.f64 (.f64 #s(literal 2 binary64) x) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal -1 binary64) x)))
(/.f64 (neg.f64 (+.f64 #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) (neg.f64 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)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))
(fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)) x)
(fma.f64 #s(literal -1 binary64) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) #s(literal -1 binary64) x)
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)))
(-.f64 x #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(+.f64 #s(literal -1 binary64) x)
(+.f64 x #s(literal -1 binary64))

eval23.0ms (0.3%)

Memory: 34.5MiB live, 34.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 5 629 to 782 computations (86.1% saved)

prune62.0ms (0.7%)

Memory

-59.1MiB live, 33.7MiB allocated; 18ms collecting garbage

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	204	2	206
Fresh	0	0	0
Picked	1	3	4
Done	0	3	3
Total	205	8	213

Accuracy

100.0%

Counts

213 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.9%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
✓	29.5%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (.f64 (.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
▶	4.7%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
✓	5.8%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))
▶	31.6%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))
✓	6.0%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
✓	4.3%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	48.8%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))

Compiler

Compiled 153 to 117 computations (23.5% saved)

simplify222.0ms (2.5%)

Memory

10.5MiB live, 199.6MiB allocated; 16ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
cost-diff	2	(*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
cost-diff	2	(fma.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
cost-diff	13	(/.f64 (fma.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
cost-diff	0	#s(approx (+ (* x x) -1) #s(literal -1 binary64))
cost-diff	0	(/.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) x))
cost-diff	0	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) x)))
cost-diff	0	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	179
0	35	179
1	69	166
2	235	148
3	1125	123
4	6072	123
0	8480	118

Stop Event

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

Calls

Call 1

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

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

localize113.0ms (1.3%)

Memory

11.4MiB live, 58.0MiB allocated; 2ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.04296875	(fma.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
accuracy	22.764067860818088	(/.f64 (fma.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
accuracy	28.824934812313778	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
accuracy	31.84261471443623	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))
accuracy	17.221393409108188	(/.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) x))
accuracy	28.824934812313778	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))
accuracy	31.84261471443623	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) x)))
accuracy	32.776536721743774	#s(approx (+ (* x x) -1) #s(literal -1 binary64))

Samples

51.0ms	63×	1	valid
31.0ms	61×	2	valid
17.0ms	132×	0	valid

Compiler

Compiled 113 to 22 computations (80.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

adjust: 13.0ms (24.7% of total)

ival-exp: 12.0ms (22.8% of total)

ival-mult: 10.0ms (19% of total)

ival-div: 7.0ms (13.3% of total)

ival-add: 6.0ms (11.4% of total)

ival-sub: 4.0ms (7.6% of total)

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

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

exact: 0.0ms (0% of total)

series41.0ms (0.5%)

Memory

-40.3MiB live, 6.0MiB allocated; 3ms collecting garbage

Counts

9 → 28

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

37.0ms

-inf

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

2.0ms

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

2.0ms

inf

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

simplify284.0ms (3.2%)

Memory

21.8MiB live, 198.2MiB allocated; 38ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	226
1	227	211
2	732	200
3	3323	195
0	8402	180

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 27

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

rewrite78.0ms (0.9%)

Memory

-11.3MiB live, 94.3MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	157
0	35	151
1	154	138
0	1367	130

Stop Event

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

Counts

9 → 135

Calls

Call 1

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

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

eval18.0ms (0.2%)

Memory: 30.1MiB live, 30.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 5 805 to 699 computations (88% saved)

prune29.0ms (0.3%)

Memory

-29.2MiB live, 17.8MiB allocated; 2ms collecting garbage

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	153	3	156
Fresh	0	0	0
Picked	1	1	2
Done	1	5	6
Total	155	9	164

Accuracy

100.0%

Counts

164 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.9%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
✓	29.5%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (.f64 (.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
	3.1%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (+ (* (* x x) (- x 1)) (* (- x 1) -1)) (.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
	4.2%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (+ (* x x) -1) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))
✓	31.6%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))
✓	6.0%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
	4.8%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (.f64 (/.f64 (/.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
✓	4.3%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	48.8%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))

Compiler

Compiled 518 to 241 computations (53.5% saved)

regimes24.0ms (0.3%)

Memory

23.1MiB live, 23.1MiB allocated; 0ms collecting garbage

Counts

15 → 3

Calls

Call 1

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

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

(-.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:

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

regimes28.0ms (0.3%)

Memory

-22.9MiB live, 23.4MiB allocated; 2ms collecting garbage

Counts

14 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

10.0ms	(*.f64 #s(literal -2 binary64) x)
4.0ms	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	(exp.f64 (*.f64 #s(literal -2 binary64) x))
3.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))

Results

Accuracy	Segments	Branch
76.7%	2	`(*.f64 #s(literal -2 binary64) x)`
76.7%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
76.7%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
76.7%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
76.7%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
76.7%	2	`x`

Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes15.0ms (0.2%)

Memory

23.0MiB live, 23.0MiB allocated; 0ms collecting garbage

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

3.0ms	x
3.0ms	(*.f64 #s(literal -2 binary64) x)
2.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
2.0ms	(+.f64 #s(literal 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
76.6%	2	`(*.f64 #s(literal -2 binary64) x)`
76.6%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
76.6%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
76.6%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
76.6%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
76.6%	2	`x`

Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes9.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB 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 x #s(literal -1 binary64))) #s(literal 1 binary64))

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
48.8%	1	`(*.f64 #s(literal -2 binary64) x)`
48.8%	1	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
48.8%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
48.8%	1	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
48.8%	1	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
48.8%	1	`x`

Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes36.0ms (0.4%)

Memory

-33.6MiB live, 12.6MiB allocated; 3ms collecting garbage

Counts

2 → 1

Calls

Call 1

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

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

Calls

6 calls:

30.0ms	x
1.0ms	(*.f64 #s(literal -2 binary64) x)
1.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
1.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
1.0ms	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))

Results

Accuracy	Segments	Branch
6.0%	1	`x`
6.0%	1	`(*.f64 #s(literal -2 binary64) x)`
6.0%	1	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
6.0%	1	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
6.0%	1	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
6.0%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`

Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes6.0ms (0.1%)

Memory

16.1MiB live, 16.1MiB 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	x
1.0ms	(*.f64 #s(literal -2 binary64) x)
1.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
1.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
1.0ms	(exp.f64 (*.f64 #s(literal -2 binary64) x))

Results

Accuracy	Segments	Branch
4.3%	1	`(*.f64 #s(literal -2 binary64) x)`
4.3%	1	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
4.3%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
4.3%	1	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
4.3%	1	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
4.3%	1	`x`

Compiler

Compiled 32 to 31 computations (3.1% saved)

bsearch124.0ms (1.4%)

Memory

1.4MiB live, 102.8MiB allocated; 16ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
95.0ms	9.506537301605089e-7	998005.1075782723
25.0ms	-305484068.6679945	-8.867260624724764e-14

Samples

27.0ms

336×

valid

Compiler

Compiled 798 to 648 computations (18.8% saved)

Precisions

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

ival-exp: 4.0ms (32% of total)

ival-mult: 3.0ms (24% of total)

ival-div: 2.0ms (16% of total)

ival-add: 2.0ms (16% of total)

ival-sub: 2.0ms (16% 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)

bsearch2.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-305484068.6679945	-8.867260624724764e-14

Compiler

Compiled 508 to 398 computations (21.7% saved)

bsearch5.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	-305484068.6679945	-8.867260624724764e-14

Samples

2.0ms

32×

valid

Compiler

Compiled 464 to 387 computations (16.6% 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)

simplify45.0ms (0.5%)

Memory

7.0MiB live, 53.8MiB allocated; 2ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	202
1	83	202
2	169	202
3	470	202
4	2367	202

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -3152519739159347/2251799813685248 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (.f64 (.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 6640827866535439/9223372036854775808 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -3152519739159347/2251799813685248 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (.f64 (.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))

Outputs
(if (<=.f64 x #s(literal -3152519739159347/2251799813685248 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (.f64 (.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 6640827866535439/9223372036854775808 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -3152519739159347/2251799813685248 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (.f64 (.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))

derivations932.0ms (10.4%)

Memory

1.5MiB live, 481.3MiB allocated; 64ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	179
0	44	179
1	197	179
0	1646	179
0	84	230
1	233	218
2	777	216
3	3520	216
0	8398	194
0	49	161
1	146	161
2	444	151
3	1675	151
4	6978	151
0	8508	130
0	76	226
1	222	214
2	764	212
3	3490	212
0	8371	189

Stop Event

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

Compiler

Compiled 202 to 56 computations (72.3% saved)

preprocess42.0ms (0.5%)

Memory: -1.6MiB live, 44.1MiB allocated; 6ms collecting garbage
Compiler: Compiled 424 to 130 computations (69.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample2.0s (22.8%)

explain151.0ms (1.7%)

preprocess473.0ms (5.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify603.0ms (6.7%)

localize51.0ms (0.6%)

series4.0ms (0%)

simplify318.0ms (3.5%)

rewrite71.0ms (0.8%)

eval23.0ms (0.3%)

prune5.0ms (0.1%)

simplify892.0ms (10%)

localize124.0ms (1.4%)

series11.0ms (0.1%)

simplify474.0ms (5.3%)

rewrite74.0ms (0.8%)

eval32.0ms (0.4%)

prune8.0ms (0.1%)

simplify1.0s (11.5%)

localize116.0ms (1.3%)

series6.0ms (0.1%)

simplify214.0ms (2.4%)

rewrite92.0ms (1%)

eval23.0ms (0.3%)

prune62.0ms (0.7%)

simplify222.0ms (2.5%)

localize113.0ms (1.3%)

series41.0ms (0.5%)

simplify284.0ms (3.2%)

rewrite78.0ms (0.9%)

eval18.0ms (0.2%)

prune29.0ms (0.3%)

regimes24.0ms (0.3%)

regimes28.0ms (0.3%)

regimes15.0ms (0.2%)

regimes9.0ms (0.1%)

regimes36.0ms (0.4%)

regimes6.0ms (0.1%)

bsearch124.0ms (1.4%)

bsearch2.0ms (0%)

bsearch5.0ms (0.1%)

simplify45.0ms (0.5%)

derivations932.0ms (10.4%)

preprocess42.0ms (0.5%)

end0.0ms (0%)

Profiling