Metrics for exp neg sub

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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 9 to 8 computations (11.1% saved)

sample931.0ms (36%)

Memory

34.8MiB live, 871.8MiB allocated; 138ms collecting garbage

Samples

715.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 488.0ms

ival-mult: 126.0ms (25.8% of total)

ival-exp: 124.0ms (25.4% of total)

ival-neg: 114.0ms (23.4% of total)

ival-sub: 113.0ms (23.2% of total)

exact: 7.0ms (1.4% of total)

ival-assert: 3.0ms (0.6% of total)

adjust: 2.0ms (0.4% of total)

Bogosity

explain83.0ms (3.2%)

Memory

1.8MiB live, 157.1MiB allocated; 16ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`#s(literal 1 binary64)`
-	-	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
-	-	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
-	-	`(*.f64 x x)`
-	-	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

28.0ms

512×

valid

Compiler

Compiled 57 to 22 computations (61.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-exp: 6.0ms (38.2% of total)

ival-mult: 4.0ms (25.5% of total)

ival-sub: 2.0ms (12.7% of total)

ival-neg: 2.0ms (12.7% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess249.0ms (9.6%)

Memory

-75.6MiB live, 166.5MiB allocated; 80ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	22
1	46	19
2	105	19
3	274	19
4	1045	19
0	6	7
0	10	7
1	26	6
2	73	6
3	245	6
4	877	6
0	9156	5

Stop Event

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

Calls

Call 1

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

Outputs
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))

Symmetry

(abs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify118.0ms (4.6%)

Memory

28.9MiB live, 127.0MiB allocated; 13ms collecting garbage

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	23
0	10	23
1	26	21
2	73	21
3	245	21
4	877	21
0	9156	19

Stop Event

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

Calls

Call 1

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

Outputs
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 x x #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x

localize39.0ms (1.5%)

Memory

-13.1MiB live, 30.6MiB allocated; 4ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(-.f64 #s(literal 1 binary64) (*.f64 x x))
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
accuracy	0.0	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Samples

34.0ms

256×

valid

Compiler

Compiled 25 to 8 computations (68% saved)

Precisions

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

ival-neg: 21.0ms (76.3% of total)

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

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

ival-sub: 1.0ms (3.6% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

3.2MiB live, 3.2MiB allocated; 0ms collecting garbage

Counts

4 → 14

Calls

Call 1

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

Outputs
#s(approx (neg (- 1 (* x x))) #s(hole binary64 -1))
#s(approx (neg (- 1 (* x x))) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (exp (neg (- 1 (* x x)))) #s(hole binary64 (exp -1)))
#s(approx (exp (neg (- 1 (* x x)))) #s(hole binary64 (+ (exp -1) (* (pow x 2) (exp -1)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(hole binary64 (+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(hole binary64 (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))))
#s(approx (- 1 (* x x)) #s(hole binary64 1))
#s(approx (- 1 (* x x)) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (neg (- 1 (* x x))) #s(hole binary64 (pow x 2)))
#s(approx (neg (- 1 (* x x))) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(hole binary64 (exp (- (pow x 2) 1))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1))))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((neg (- 1 (* x x))) (exp (neg (- 1 (* x x)))) (- 1 (* x x)) (* x x))
1.0ms	x	@	0	((neg (- 1 (* x x))) (exp (neg (- 1 (* x x)))) (- 1 (* x x)) (* x x))
0.0ms	x	@	-inf	((neg (- 1 (* x x))) (exp (neg (- 1 (* x x)))) (- 1 (* x x)) (* x x))

Time

Variable

Point

Expression

1.0ms

inf

((neg (- 1 (* x x))) (exp (neg (- 1 (* x x)))) (- 1 (* x x)) (* x x))

1.0ms

((neg (- 1 (* x x))) (exp (neg (- 1 (* x x)))) (- 1 (* x x)) (* x x))

0.0ms

-inf

((neg (- 1 (* x x))) (exp (neg (- 1 (* x x)))) (- 1 (* x x)) (* x x))

simplify248.0ms (9.6%)

Memory

-1.6MiB live, 275.9MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	202
1	135	188
2	653	184
3	4312	181
0	9105	164

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 14

Calls

Call 1

Inputs
#s(approx (neg (- 1 (* x x))) #s(hole binary64 -1))
#s(approx (neg (- 1 (* x x))) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (exp (neg (- 1 (* x x)))) #s(hole binary64 (exp -1)))
#s(approx (exp (neg (- 1 (* x x)))) #s(hole binary64 (+ (exp -1) (* (pow x 2) (exp -1)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(hole binary64 (+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(hole binary64 (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))))
#s(approx (- 1 (* x x)) #s(hole binary64 1))
#s(approx (- 1 (* x x)) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (neg (- 1 (* x x))) #s(hole binary64 (pow x 2)))
#s(approx (neg (- 1 (* x x))) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(hole binary64 (exp (- (pow x 2) 1))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1))))

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

rewrite63.0ms (2.5%)

Memory

18.7MiB live, 77.6MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	21
0	10	21
1	42	19
0	318	19

Stop Event

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

Counts

4 → 58

Calls

Call 1

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

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

eval25.0ms (1%)

Memory: -30.8MiB live, 15.8MiB allocated; 5ms collecting garbage
Compiler: Compiled 969 to 283 computations (70.8% saved)

prune3.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	69	3	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	3	73

Accuracy

100.0%

Counts

73 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(exp.f64 #s(approx (neg (- 1 (* x x))) (fma.f64 x x #s(literal -1 binary64))))
▶	57.9%	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
▶	52.0%	(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))

Compiler

Compiled 32 to 25 computations (21.9% saved)

simplify207.0ms (8%)

Memory

4.6MiB live, 152.3MiB allocated; 20ms collecting garbage

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	72
0	19	72
1	40	60
2	102	60
3	274	60
4	1004	60
5	7910	60
0	8017	60

Stop Event

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

Calls

Call 1

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

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

localize27.0ms (1%)

Memory

-2.7MiB live, 41.4MiB allocated; 5ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 x x #s(literal -1 binary64))
accuracy	0.0	(exp.f64 #s(approx (neg (- 1 (* x x))) (fma.f64 x x #s(literal -1 binary64))))
accuracy	0.0	#s(approx (neg (- 1 (* x x))) (fma.f64 x x #s(literal -1 binary64)))
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
accuracy	32.458001642407496	#s(approx (neg (- 1 (* x x))) (*.f64 x x))
accuracy	0.0	(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))
accuracy	31.427978838732056	#s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))

Samples

20.0ms

256×

valid

Compiler

Compiled 53 to 10 computations (81.1% saved)

Precisions

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

ival-mult: 6.0ms (48.1% of total)

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

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

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

ival-neg: 1.0ms (8% 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)

series2.0ms (0.1%)

Memory

3.9MiB live, 3.9MiB allocated; 0ms collecting garbage

Counts

8 → 14

Calls

Call 1

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

Outputs
#s(approx (exp (neg (- 1 (* x x)))) #s(hole binary64 (exp -1)))
#s(approx (exp (neg (- 1 (* x x)))) #s(hole binary64 (+ (exp -1) (* (pow x 2) (exp -1)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(hole binary64 (+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(hole binary64 (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))))
#s(approx (neg (- 1 (* x x))) #s(hole binary64 -1))
#s(approx (neg (- 1 (* x x))) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) -1) #s(hole binary64 -1))
#s(approx (+ (* x x) -1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (exp (neg (- 1 (* x x)))) #s(hole binary64 (exp (- (pow x 2) 1))))
#s(approx (neg (- 1 (* x x))) #s(hole binary64 (pow x 2)))
#s(approx (neg (- 1 (* x x))) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (+ (* x x) -1) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) -1) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

-inf

((exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (* x x) (exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (+ (* x x) -1))

0.0ms

inf

((exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (* x x) (exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (+ (* x x) -1))

0.0ms

((exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (* x x) (exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (+ (* x x) -1))

simplify203.0ms (7.9%)

Memory

6.8MiB live, 234.2MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	204
1	129	187
2	603	183
3	3679	180
0	8905	158

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 14

Calls

Call 1

Inputs
#s(approx (exp (neg (- 1 (* x x)))) #s(hole binary64 (exp -1)))
#s(approx (exp (neg (- 1 (* x x)))) #s(hole binary64 (+ (exp -1) (* (pow x 2) (exp -1)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(hole binary64 (+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(hole binary64 (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))))
#s(approx (neg (- 1 (* x x))) #s(hole binary64 -1))
#s(approx (neg (- 1 (* x x))) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) -1) #s(hole binary64 -1))
#s(approx (+ (* x x) -1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (exp (neg (- 1 (* x x)))) #s(hole binary64 (exp (- (pow x 2) 1))))
#s(approx (neg (- 1 (* x x))) #s(hole binary64 (pow x 2)))
#s(approx (neg (- 1 (* x x))) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (+ (* x x) -1) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) -1) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))

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

rewrite62.0ms (2.4%)

Memory

-0.6MiB live, 105.6MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	68
0	19	68
1	66	56
0	473	56

Stop Event

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

Counts

8 → 86

Calls

Call 1

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

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

eval39.0ms (1.5%)

Memory: -27.1MiB live, 18.6MiB allocated; 4ms collecting garbage
Compiler: Compiled 1 909 to 340 computations (82.2% saved)

prune3.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	93	3	96

Accuracy

100.0%

Counts

96 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 #s(approx (neg (- 1 (* x x))) (fma.f64 x x #s(literal -1 binary64))))
✓	57.9%	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
✓	52.0%	(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))

Compiler

Compiled 71 to 43 computations (39.4% saved)

regimes8.0ms (0.3%)

Memory

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

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

2.0ms	x
2.0ms	(*.f64 x x)
1.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
1.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
1.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

Accuracy	Segments	Branch
100.0%	1	`(*.f64 x x)`
100.0%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
100.0%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
100.0%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
100.0%	1	`x`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes6.0ms (0.2%)

Memory

7.1MiB live, 7.1MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs
(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))
(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))

Outputs
(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))
(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
99.3%	2	`(*.f64 x x)`
99.3%	2	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
99.3%	2	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
99.3%	2	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
99.3%	2	`x`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes5.0ms (0.2%)

Memory

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

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))

Outputs
(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
52.0%	1	`(*.f64 x x)`
52.0%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
52.0%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
52.0%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
52.0%	1	`x`

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch11.0ms (0.4%)

Memory

7.8MiB live, 7.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.4916708481587397	94.36781108304396

Samples

5.0ms

112×

valid

Compiler

Compiled 150 to 136 computations (9.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-sub: 1.0ms (31.8% of total)

ival-exp: 1.0ms (31.8% of total)

ival-mult: 1.0ms (31.8% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

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

simplify71.0ms (2.7%)

Memory

-29.4MiB live, 64.0MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	17	45
1	25	45
2	51	45
3	102	45
4	174	45
5	431	45
6	3300	41
7	7128	41

Stop Event

1×	node limit

Calls

Call 1

Inputs

(exp.f64 #s(approx (neg (- 1 (* x x))) (fma.f64 x x #s(literal -1 binary64))))

(if (<=.f64 x #s(literal 1080863910568919/1125899906842624 binary64)) (exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) (exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))))

(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))

Outputs

(exp.f64 #s(approx (neg (- 1 (* x x))) (fma.f64 x x #s(literal -1 binary64))))

(if (<=.f64 x #s(literal 1080863910568919/1125899906842624 binary64)) (exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) (exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))))

(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))

derivations163.0ms (6.3%)

Memory

-11.4MiB live, 129.9MiB allocated; 11ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 45 to 17 computations (62.2% saved)

preprocess17.0ms (0.6%)

Memory: 40.7MiB live, 40.7MiB allocated; 0ms collecting garbage
Remove: (abs x)
Compiler: Compiled 128 to 64 computations (50% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample931.0ms (36%)

explain83.0ms (3.2%)

preprocess249.0ms (9.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify118.0ms (4.6%)

localize39.0ms (1.5%)

series2.0ms (0.1%)

simplify248.0ms (9.6%)

rewrite63.0ms (2.5%)

eval25.0ms (1%)

prune3.0ms (0.1%)

simplify207.0ms (8%)

localize27.0ms (1%)

series2.0ms (0.1%)

simplify203.0ms (7.9%)

rewrite62.0ms (2.4%)

eval39.0ms (1.5%)

prune3.0ms (0.1%)

regimes8.0ms (0.3%)

regimes6.0ms (0.2%)

regimes5.0ms (0.2%)

bsearch11.0ms (0.4%)

simplify71.0ms (2.7%)

derivations163.0ms (6.3%)

preprocess17.0ms (0.6%)

end0.0ms (0%)

Profiling