Metrics for Logistic function from Lakshay Garg

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 12 to 12 computations (0% saved)

sample1.3s (72.2%)

Memory

33.2MiB live, 1 398.1MiB allocated

Samples

435.0ms	1 532×	2	valid
334.0ms	2 440×	1	valid
256.0ms	4 284×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 800.0ms

ival-exp: 365.0ms (45.7% of total)

ival-div: 102.0ms (12.8% of total)

adjust: 96.0ms (12% of total)

ival-mult: 78.0ms (9.8% of total)

ival-sub: 72.0ms (9% of total)

ival-add: 68.0ms (8.5% of total)

exact: 10.0ms (1.3% of total)

ival-true: 6.0ms (0.8% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain141.0ms (7.7%)

Memory

24.2MiB live, 140.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
130	0	-	-	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
0	1	(-246.38853761680124 3.0122811816026786e+42)	-	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(*.f64 #s(literal -2 binary64) x)`
0	0	-	-	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
0	0	-	-	`#s(literal -2 binary64)`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
0	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	130	0
`exp.f64`	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	130	0
-	1	125

Precision

0.9923664122137404

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	130	0	0
-	1	0	125

Precision?

0.9923664122137404

Recall?

1.0

Freqs

test

number	freq
0	125
1	131

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

27.0ms	92×	2	valid
24.0ms	160×	1	valid
17.0ms	260×	0	valid

Compiler

Compiled 119 to 44 computations (63% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-exp: 22.0ms (46% of total)

adjust: 6.0ms (12.6% of total)

ival-div: 6.0ms (12.6% of total)

ival-sub: 5.0ms (10.5% of total)

ival-add: 4.0ms (8.4% of total)

ival-mult: 4.0ms (8.4% of total)

exact: 1.0ms (2.1% of total)

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

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

preprocess3.0ms (0.1%)

Memory

3.7MiB live, 3.7MiB allocated

Algorithm

1×	egg-herbie

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))

Compiler

Compiled 10 to 10 computations (0% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.4%	(-.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 10 computations (0% saved)

simplify0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

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))

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 #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

localize44.0ms (2.4%)

Memory

-4.0MiB live, 37.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 (*.f64 #s(literal -2 binary64) x))
accuracy	0.00390625	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
accuracy	0.0078125	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
accuracy	29.804427348037752	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))

Samples

15.0ms	80×	1	valid
13.0ms	46×	2	valid
8.0ms	130×	0	valid

Compiler

Compiled 72 to 22 computations (69.4% saved)

Precisions

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

ival-exp: 11.0ms (47.8% of total)

adjust: 3.0ms (13% of total)

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

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

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

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

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

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

exact: 0.0ms (0% of total)

series4.0ms (0.2%)

Memory

3.7MiB live, 3.7MiB allocated

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

6 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)))
0.0ms	y	@	0	((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (exp (* -2 x)))
0.0ms	y	@	inf	((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (exp (* -2 x)))

simplify0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	egg-herbie

Counts

19 → 4

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

rewrite0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Counts

4 → 4

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 (/.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))

eval1.0ms (0%)

Memory: 1.3MiB live, 1.3MiB allocated
Compiler: Compiled 112 to 22 computations (80.4% saved)

prune2.0ms (0.1%)

Memory

2.3MiB live, 2.3MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	5	3	8
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	5	4	9

Accuracy

53.7%

Counts

9 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.4%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
▶	6.8%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
▶	23.9%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
▶	2.7%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (exp.f64 (*.f64 #s(literal -2 binary64) x)))

Compiler

Compiled 61 to 58 computations (4.9% saved)

simplify1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 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	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
cost-diff	0	(*.f64 #s(literal -2 binary64) x)
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	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
cost-diff	0	(*.f64 #s(literal -2 binary64) x)
cost-diff	0	(exp.f64 (*.f64 #s(literal -2 binary64) x))
cost-diff	0	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (exp.f64 (*.f64 #s(literal -2 binary64) x)))

Calls

Call 1

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

localize50.0ms (2.7%)

Memory

8.5MiB live, 46.5MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 (*.f64 #s(literal -2 binary64) x))
accuracy	0.00390625	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
accuracy	0.0078125	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
accuracy	59.62644164895661	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
accuracy	0.0	(*.f64 #s(literal -2 binary64) x)
accuracy	0.0	(exp.f64 (*.f64 #s(literal -2 binary64) x))
accuracy	0.00390625	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
accuracy	48.6846992066068	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
accuracy	0.0	(*.f64 #s(literal -2 binary64) x)
accuracy	0.0	(exp.f64 (*.f64 #s(literal -2 binary64) x))
accuracy	62.24503617174509	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (exp.f64 (*.f64 #s(literal -2 binary64) x)))

Samples

17.0ms	46×	2	valid
14.0ms	80×	1	valid
9.0ms	130×	0	valid

Compiler

Compiled 183 to 32 computations (82.5% saved)

Precisions

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

ival-exp: 11.0ms (47.3% of total)

adjust: 3.0ms (12.9% of total)

ival-div: 3.0ms (12.9% of total)

ival-add: 2.0ms (8.6% of total)

ival-mult: 2.0ms (8.6% of total)

ival-sub: 2.0ms (8.6% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.3%)

Memory

-27.0MiB live, 11.3MiB allocated

Counts

7 → 20

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (exp (* -2 x)) (* -2 x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ 1 (exp (* -2 x))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))))
1.0ms	x	@	inf	((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (exp (* -2 x)) (* -2 x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ 1 (exp (* -2 x))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))))
1.0ms	x	@	-inf	((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (exp (* -2 x)) (* -2 x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ 1 (exp (* -2 x))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))))
0.0ms	y	@	0	((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (exp (* -2 x)) (* -2 x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ 1 (exp (* -2 x))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))))
0.0ms	y	@	inf	((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (exp (* -2 x)) (* -2 x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ 1 (exp (* -2 x))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))))

simplify0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	egg-herbie

Counts

20 → 7

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

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

rewrite1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Counts

7 → 7

Calls

Call 1

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

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

eval2.0ms (0.1%)

Memory: 4.3MiB live, 4.3MiB allocated
Compiler: Compiled 537 to 41 computations (92.4% saved)

prune4.0ms (0.2%)

Memory

6.1MiB live, 6.1MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	22	2	24
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	22	6	28

Accuracy

53.7%

Counts

28 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.4%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
✓	6.8%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
▶	24.6%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* -2 x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))))
✓	23.9%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
▶	2.4%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (*.f64 #s(literal -2 binary64) x))
✓	2.7%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (exp.f64 (*.f64 #s(literal -2 binary64) x)))

Compiler

Compiled 101 to 91 computations (9.9% saved)

simplify1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Calls

Call 1

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

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

localize68.0ms (3.7%)

Memory

-47.9MiB live, 58.9MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(+.f64 #s(literal 1 binary64) #s(approx (exp (* -2 x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
accuracy	0.0078125	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* -2 x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))
accuracy	39.96845236957731	#s(approx (exp (* -2 x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
accuracy	59.62644164895661	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* -2 x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))))
accuracy	0.0	(*.f64 #s(literal -2 binary64) x)
accuracy	62.45285899220969	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (*.f64 #s(literal -2 binary64) x))

Samples

19.0ms	46×	2	valid
13.0ms	80×	1	valid
9.0ms	130×	0	valid

Compiler

Compiled 163 to 33 computations (79.8% saved)

Precisions

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

ival-exp: 11.0ms (47.4% of total)

adjust: 3.0ms (12.9% of total)

ival-div: 3.0ms (12.9% of total)

ival-add: 2.0ms (8.6% of total)

ival-mult: 2.0ms (8.6% of total)

ival-sub: 2.0ms (8.6% of total)

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

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

exact: 0.0ms (0% of total)

series2.0ms (0.1%)

Memory

4.1MiB live, 4.1MiB allocated

Counts

6 → 20

Calls

Call 1

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

6 calls:

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

simplify0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	egg-herbie

Counts

20 → 6

Calls

Call 1

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

rewrite0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Counts

6 → 6

Calls

Call 1

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

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

eval1.0ms (0.1%)

Memory: 2.4MiB live, 2.4MiB allocated
Compiler: Compiled 319 to 33 computations (89.7% saved)

prune3.0ms (0.2%)

Memory

5.5MiB live, 5.5MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	11	1	12
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	11	7	18

Accuracy

53.7%

Counts

18 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.4%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
✓	6.8%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
✓	24.6%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* -2 x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))))
▶	6.4%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* -2 x)) (+.f64 #s(literal 1 binary64) (exp.f64 #s(approx (* -2 x) (+.f64 #s(literal 1 binary64) #s(approx (exp (* -2 x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))))))))
✓	23.9%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
✓	2.4%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (*.f64 #s(literal -2 binary64) x))
✓	2.7%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (exp.f64 (*.f64 #s(literal -2 binary64) x)))

Compiler

Compiled 141 to 116 computations (17.7% saved)

simplify1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Calls

Call 1

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

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

localize59.0ms (3.2%)

Memory

-12.6MiB live, 62.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	39.96845236957731	#s(approx (exp (* -2 x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
accuracy	39.96845236957731	#s(approx (exp (* -2 x)) (+.f64 #s(literal 1 binary64) (exp.f64 #s(approx (* -2 x) (+.f64 #s(literal 1 binary64) #s(approx (exp (* -2 x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))))))
accuracy	59.62644164895661	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* -2 x)) (+.f64 #s(literal 1 binary64) (exp.f64 #s(approx (* -2 x) (+.f64 #s(literal 1 binary64) #s(approx (exp (* -2 x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))))))))
accuracy	61.42766687670527	#s(approx (* -2 x) (+.f64 #s(literal 1 binary64) #s(approx (exp (* -2 x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))

Samples

20.0ms	46×	2	valid
14.0ms	80×	1	valid
9.0ms	130×	0	valid

Compiler

Compiled 287 to 37 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-exp: 16.0ms (54.4% of total)

adjust: 3.0ms (10.2% of total)

ival-div: 3.0ms (10.2% of total)

ival-add: 2.0ms (6.8% of total)

ival-mult: 2.0ms (6.8% of total)

ival-sub: 2.0ms (6.8% of total)

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

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

exact: 0.0ms (0% of total)

series2.0ms (0.1%)

Memory

4.0MiB live, 4.0MiB allocated

Counts

6 → 20

Calls

Call 1

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

Calls

6 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)) (* -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)) (* -2 x) (exp (* -2 x)))
0.0ms	x	@	0	((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (exp (* -2 x)) (* -2 x) (exp (* -2 x)))
0.0ms	y	@	0	((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (exp (* -2 x)) (* -2 x) (exp (* -2 x)))
0.0ms	y	@	inf	((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (exp (* -2 x)) (* -2 x) (exp (* -2 x)))

simplify0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	egg-herbie

Counts

20 → 6

Calls

Call 1

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

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

rewrite1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Counts

6 → 6

Calls

Call 1

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

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

eval1.0ms (0.1%)

Memory: 2.2MiB live, 2.2MiB allocated
Compiler: Compiled 433 to 32 computations (92.6% saved)

prune4.0ms (0.2%)

Memory

6.9MiB live, 6.9MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	11	0	11
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	11	7	18

Accuracy

53.7%

Counts

18 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.4%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
✓	6.8%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
✓	24.6%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* -2 x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))))
✓	6.4%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* -2 x)) (+.f64 #s(literal 1 binary64) (exp.f64 #s(approx (* -2 x) (+.f64 #s(literal 1 binary64) #s(approx (exp (* -2 x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))))))))
✓	23.9%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
✓	2.4%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (*.f64 #s(literal -2 binary64) x))
✓	2.7%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (exp.f64 (*.f64 #s(literal -2 binary64) x)))

Compiler

Compiled 282 to 149 computations (47.2% saved)

regimes22.0ms (1.2%)

Memory

-7.0MiB live, 31.0MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

7 calls:

7.0ms	x
3.0ms	y
3.0ms	(*.f64 #s(literal -2 binary64) x)
2.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
2.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))

Results

Accuracy	Segments	Branch
53.4%	1	`x`
53.4%	1	`y`
53.4%	1	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
53.4%	1	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
53.4%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
53.4%	1	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
53.4%	1	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 33 to 39 computations (-18.2% saved)

regimes15.0ms (0.8%)

Memory

23.9MiB live, 23.9MiB allocated

Counts

5 → 1

Calls

Call 1

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

Outputs

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
24.6%	1	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
24.6%	1	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
24.6%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
24.6%	1	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
24.6%	1	`x`
24.6%	1	`(*.f64 #s(literal -2 binary64) x)`
24.6%	1	`y`

Compiler

Compiled 33 to 39 computations (-18.2% saved)

regimes16.0ms (0.9%)

Memory

-24.9MiB live, 20.9MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

7 calls:

4.0ms	y
2.0ms	(*.f64 #s(literal -2 binary64) x)
2.0ms	x
2.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
2.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))

Results

Accuracy	Segments	Branch
23.9%	1	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
23.9%	1	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
23.9%	1	`x`
23.9%	1	`y`
23.9%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
23.9%	1	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
23.9%	1	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 33 to 39 computations (-18.2% saved)

regimes10.0ms (0.5%)

Memory

17.5MiB live, 17.5MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

7 calls:

1.0ms	y
1.0ms	(*.f64 #s(literal -2 binary64) x)
1.0ms	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))

Results

Accuracy	Segments	Branch
2.7%	1	`(*.f64 #s(literal -2 binary64) x)`
2.7%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
2.7%	1	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
2.7%	1	`y`
2.7%	1	`x`
2.7%	1	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
2.7%	1	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`

Compiler

Compiled 33 to 39 computations (-18.2% saved)

regimes9.0ms (0.5%)

Memory

-24.8MiB live, 14.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

2.0ms	(*.f64 #s(literal -2 binary64) x)
1.0ms	x
1.0ms	y
1.0ms	(exp.f64 (*.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))))

Results

Accuracy	Segments	Branch
2.4%	1	`(*.f64 #s(literal -2 binary64) x)`
2.4%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
2.4%	1	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
2.4%	1	`y`
2.4%	1	`x`
2.4%	1	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
2.4%	1	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`

Compiler

Compiled 33 to 39 computations (-18.2% saved)

simplify5.0ms (0.3%)

Memory

8.5MiB live, 8.5MiB allocated

Algorithm

1×	egg-herbie

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

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

soundness1.0ms (0.1%)

Memory

1.9MiB live, 1.9MiB allocated

Stop Event

1×

done

Compiler

Compiled 82 to 25 computations (69.5% saved)

preprocess28.0ms (1.5%)

Memory: 2.2MiB live, 40.3MiB allocated
Compiler: Compiled 184 to 70 computations (62% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (72.2%)

explain141.0ms (7.7%)

preprocess3.0ms (0.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify0.0ms (0%)

localize44.0ms (2.4%)

series4.0ms (0.2%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval1.0ms (0%)

prune2.0ms (0.1%)

simplify1.0ms (0%)

localize50.0ms (2.7%)

series5.0ms (0.3%)

simplify0.0ms (0%)

rewrite1.0ms (0%)

eval2.0ms (0.1%)

prune4.0ms (0.2%)

simplify1.0ms (0%)

localize68.0ms (3.7%)

series2.0ms (0.1%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval1.0ms (0.1%)

prune3.0ms (0.2%)

simplify1.0ms (0%)

localize59.0ms (3.2%)

series2.0ms (0.1%)

simplify0.0ms (0%)

rewrite1.0ms (0%)

eval1.0ms (0.1%)

prune4.0ms (0.2%)

regimes22.0ms (1.2%)

regimes15.0ms (0.8%)

regimes16.0ms (0.9%)

regimes10.0ms (0.5%)

regimes9.0ms (0.5%)

simplify5.0ms (0.3%)

soundness1.0ms (0.1%)

preprocess28.0ms (1.5%)

end0.0ms (0%)

Profiling