Metrics for Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, E

start0.0ms (0%)

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

analyze16.0ms (0.6%)

Memory

-28.4MiB live, 15.9MiB allocated; 8ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
50%	50%	50%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
66.7%	50%	25%	0.1%	0%	25%	0%	4
66.7%	50%	25%	0.1%	0%	25%	0%	5
80%	50%	12.5%	0.1%	0%	37.5%	0%	6
80%	50%	12.5%	0.1%	0%	37.5%	0%	7
88.9%	50%	6.2%	0.1%	0%	43.7%	0%	8
88.9%	50%	6.2%	0.1%	0%	43.7%	0%	9
94.1%	50%	3.1%	0.1%	0%	46.8%	0%	10
94.1%	50%	3.1%	0.1%	0%	46.8%	0%	11
97%	50%	1.6%	0.1%	0%	48.4%	0%	12

Compiler

Compiled 10 to 9 computations (10% saved)

sample752.0ms (30.4%)

Memory

77.0MiB live, 1 049.2MiB allocated; 270ms collecting garbage

Samples

456.0ms	8 253×	0	valid
17.0ms	253×	0	invalid
0.0ms	3×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 269.0ms

ival-sub: 85.0ms (31.6% of total)

ival-mult: 66.0ms (24.5% of total)

ival-sqrt: 65.0ms (24.1% of total)

ival-add: 36.0ms (13.4% of total)

ival-true: 6.0ms (2.2% of total)

exact: 5.0ms (1.9% of total)

adjust: 3.0ms (1.1% of total)

ival-assert: 3.0ms (1.1% of total)

Bogosity

explain107.0ms (4.3%)

Memory

-19.4MiB live, 114.1MiB allocated; 57ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
-	-	`(sqrt.f64 x)`
-	-	`y`
-	-	`(-.f64 #s(literal 1 binary64) x)`
-	-	`#s(literal 1 binary64)`
-	-	`(*.f64 y (sqrt.f64 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

41.0ms

512×

valid

Compiler

Compiled 52 to 25 computations (51.9% saved)

Precisions

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

ival-sqrt: 18.0ms (65% of total)

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

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

ival-add: 2.0ms (7.2% 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)

preprocess233.0ms (9.4%)

Memory

3.3MiB live, 189.5MiB allocated; 67ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	46
1	49	46
2	96	46
3	172	43
4	356	42
5	1037	42
6	2806	42
7	6607	42
0	7	8
0	11	8
1	20	8
2	35	8
3	64	8
4	133	8
5	459	8
6	3607	8
7	7197	8
0	8053	7

Stop Event

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

Calls

Call 1

Inputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Outputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))

Compiler

Compiled 8 to 7 computations (12.5% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 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
▶	99.9%	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Compiler

Compiled 8 to 7 computations (12.5% saved)

series6.0ms (0.2%)

Memory

8.4MiB live, 8.4MiB allocated; 0ms collecting garbage

Counts

7 → 22

Calls

Call 1

Inputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)

Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y)))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx x #s(hole binary64 x))
#s(approx (* y (sqrt x)) #s(hole binary64 (* (sqrt x) y)))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* y (sqrt x)) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- 1 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x)))
#s(approx y #s(hole binary64 y))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))))

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((+ (- 1 x) (* y (sqrt x))) (- 1 x) 1 x (* y (sqrt x)) y (sqrt x))
1.0ms	y	@	-inf	((+ (- 1 x) (* y (sqrt x))) (- 1 x) 1 x (* y (sqrt x)) y (sqrt x))
1.0ms	x	@	inf	((+ (- 1 x) (* y (sqrt x))) (- 1 x) 1 x (* y (sqrt x)) y (sqrt x))
1.0ms	x	@	0	((+ (- 1 x) (* y (sqrt x))) (- 1 x) 1 x (* y (sqrt x)) y (sqrt x))
1.0ms	y	@	inf	((+ (- 1 x) (* y (sqrt x))) (- 1 x) 1 x (* y (sqrt x)) y (sqrt x))

simplify108.0ms (4.4%)

Memory

-21.4MiB live, 80.6MiB allocated; 37ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	280
1	174	273
2	506	272
0	1776	254

Stop Event

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

Counts

22 → 22

Calls

Call 1

Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y)))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx x #s(hole binary64 x))
#s(approx (* y (sqrt x)) #s(hole binary64 (* (sqrt x) y)))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* y (sqrt x)) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- 1 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x)))
#s(approx y #s(hole binary64 y))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))))

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

rewrite55.0ms (2.2%)

Memory

22.7MiB live, 113.2MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
0	11	20
1	48	20
0	366	19

Stop Event

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

Counts

7 → 36

Calls

Call 1

Inputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)

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

eval6.0ms (0.2%)

Memory: 19.2MiB live, 19.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 872 to 169 computations (80.6% saved)

prune52.0ms (2.1%)

Memory

-99.2MiB live, 26.2MiB allocated; 65ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	49	6	55
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	6	56

Accuracy

100.0%

Counts

56 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
	99.7%	(+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))))
▶	66.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
▶	63.2%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
▶	62.5%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
▶	37.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))

Compiler

Compiled 154 to 120 computations (22.1% saved)

series50.0ms (2%)

Memory

-20.2MiB live, 29.5MiB allocated; 6ms collecting garbage

Counts

17 → 58

Calls

Call 1

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

Outputs
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y)))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y)))))
#s(approx (* (sqrt x) y) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) #s(hole binary64 (* (sqrt x) y)))
#s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) #s(hole binary64 (+ (* -1 x) (* (sqrt x) y))))
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) #s(hole binary64 (* (sqrt (/ 1 x)) y)))
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) #s(hole binary64 (/ (+ (* -1 x) (* (sqrt x) y)) x)))
#s(approx (sqrt (/ 1 x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))))
#s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) #s(hole binary64 (- (* (sqrt (/ 1 x)) y) 1)))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))))
#s(approx (* (sqrt x) y) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))))
#s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))))
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) #s(hole binary64 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)))
#s(approx (sqrt (/ 1 x)) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (- 1 x)))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x)))
#s(approx y #s(hole binary64 y))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- 1 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x)))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 1))
#s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) #s(hole binary64 (* -1 x)))
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) #s(hole binary64 -1))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* y (+ (sqrt x) (/ 1 y)))))
#s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) #s(hole binary64 (* y (+ (sqrt x) (* -1 (/ x y))))))
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) #s(hole binary64 (* y (- (sqrt (/ 1 x)) (/ 1 y)))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))))
#s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))))
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))))

Calls

6 calls:

Time	Variable		Point	Expression
42.0ms	y	@	-inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) x y (- 1 x) 1 (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (* (sqrt x) y) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (/ 1 x) -1)
3.0ms	x	@	-inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) x y (- 1 x) 1 (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (* (sqrt x) y) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (/ 1 x) -1)
2.0ms	x	@	0	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) x y (- 1 x) 1 (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (* (sqrt x) y) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (/ 1 x) -1)
1.0ms	x	@	inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) x y (- 1 x) 1 (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (* (sqrt x) y) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (/ 1 x) -1)
1.0ms	y	@	inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) x y (- 1 x) 1 (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (* (sqrt x) y) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (/ 1 x) -1)

simplify95.0ms (3.9%)

Memory

21.2MiB live, 161.1MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	869
1	299	829
2	828	821
0	3157	748

Stop Event

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

Counts

58 → 58

Calls

Call 1

Inputs
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y)))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y)))))
#s(approx (* (sqrt x) y) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) #s(hole binary64 (* (sqrt x) y)))
#s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) #s(hole binary64 (+ (* -1 x) (* (sqrt x) y))))
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) #s(hole binary64 (* (sqrt (/ 1 x)) y)))
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) #s(hole binary64 (/ (+ (* -1 x) (* (sqrt x) y)) x)))
#s(approx (sqrt (/ 1 x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))))
#s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) #s(hole binary64 (- (* (sqrt (/ 1 x)) y) 1)))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))))
#s(approx (* (sqrt x) y) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))))
#s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))))
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) #s(hole binary64 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)))
#s(approx (sqrt (/ 1 x)) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (- 1 x)))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x)))
#s(approx y #s(hole binary64 y))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- 1 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x)))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 1))
#s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) #s(hole binary64 (* -1 x)))
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) #s(hole binary64 -1))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* y (+ (sqrt x) (/ 1 y)))))
#s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) #s(hole binary64 (* y (+ (sqrt x) (* -1 (/ x y))))))
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) #s(hole binary64 (* y (- (sqrt (/ 1 x)) (/ 1 y)))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))))
#s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))))
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))))

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

rewrite52.0ms (2.1%)

Memory

21.2MiB live, 108.4MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	105
0	31	101
1	116	97
0	783	97

Stop Event

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

Counts

17 → 128

Calls

Call 1

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

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

eval28.0ms (1.1%)

Memory: -13.4MiB live, 89.4MiB allocated; 8ms collecting garbage
Compiler: Compiled 3 920 to 569 computations (85.5% saved)

prune13.0ms (0.5%)

Memory

1.7MiB live, 45.4MiB allocated; 5ms collecting garbage

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	197	7	204
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	200	10	210

Accuracy

100.0%

Counts

210 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.1%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
✓	66.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
✓	63.2%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
	62.5%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) x))
	37.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) y))
✓	37.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
▶	32.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x))
▶	32.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
▶	30.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
▶	63.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))

Compiler

Compiled 291 to 209 computations (28.2% saved)

series14.0ms (0.6%)

Memory

6.2MiB live, 51.7MiB allocated; 3ms collecting garbage

Counts

20 → 68

Calls

Call 1

Inputs
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
(sqrt.f64 x)
x
y
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x))
(.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x)
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
#s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 y x)

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) x y (- 1 x) (neg x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) 1 (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (* (sqrt (/ 1 x)) y) (sqrt (/ 1 x)) (/ 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (* (* y x) (sqrt (/ 1 x))) 1) (* y x))
2.0ms	y	@	-inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) x y (- 1 x) (neg x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) 1 (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (* (sqrt (/ 1 x)) y) (sqrt (/ 1 x)) (/ 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (* (* y x) (sqrt (/ 1 x))) 1) (* y x))
1.0ms	x	@	inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) x y (- 1 x) (neg x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) 1 (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (* (sqrt (/ 1 x)) y) (sqrt (/ 1 x)) (/ 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (* (* y x) (sqrt (/ 1 x))) 1) (* y x))
1.0ms	x	@	0	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) x y (- 1 x) (neg x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) 1 (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (* (sqrt (/ 1 x)) y) (sqrt (/ 1 x)) (/ 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (* (* y x) (sqrt (/ 1 x))) 1) (* y x))
1.0ms	y	@	inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) x y (- 1 x) (neg x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) 1 (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (* (sqrt (/ 1 x)) y) (sqrt (/ 1 x)) (/ 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (* (* y x) (sqrt (/ 1 x))) 1) (* y x))

simplify82.0ms (3.3%)

Memory

17.5MiB live, 165.3MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	159	1049
1	331	995
2	885	983
0	3289	898

Stop Event

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

Counts

68 → 68

Calls

Call 1

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

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

rewrite54.0ms (2.2%)

Memory

4.4MiB live, 95.9MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	181
0	41	181
1	143	170
0	954	158

Stop Event

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

Counts

20 → 91

Calls

Call 1

Inputs
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
(sqrt.f64 x)
x
y
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x))
(.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x)
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
#s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 y x)

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

eval72.0ms (2.9%)

Memory: -49.4MiB live, 52.2MiB allocated; 23ms collecting garbage
Compiler: Compiled 4 509 to 570 computations (87.4% saved)

prune9.0ms (0.4%)

Memory

29.2MiB live, 29.2MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	181	2	183
Fresh	1	1	2
Picked	1	4	5
Done	0	3	3
Total	183	10	193

Accuracy

100.0%

Counts

193 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	68.1%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
✓	66.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
✓	63.2%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
▶	37.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) y))
✓	37.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
▶	32.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x))) x))
✓	32.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
✓	30.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
▶	66.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64))))
✓	63.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))

Compiler

Compiled 170 to 121 computations (28.8% saved)

series83.0ms (3.4%)

Memory

-3.8MiB live, 138.7MiB allocated; 32ms collecting garbage

Counts

18 → 53

Calls

Call 1

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

Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y)))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (+ (* (/ x (sqrt x)) y) 1) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (/ x (sqrt x)) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) #s(hole binary64 (* (sqrt x) y)))
#s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) #s(hole binary64 (+ (* -1 x) (* (sqrt x) y))))
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) #s(hole binary64 (* (sqrt (/ 1 x)) y)))
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) #s(hole binary64 (/ (+ (* -1 x) (* (sqrt x) y)) x)))
#s(approx (/ (* y 1) (sqrt x)) #s(hole binary64 (* (sqrt (/ 1 x)) y)))
#s(approx (* (* (pow x 1/4) (pow x 1/4)) y) #s(hole binary64 (* (sqrt x) y)))
#s(approx (* (pow x 1/4) (pow x 1/4)) #s(hole binary64 (sqrt x)))
#s(approx (pow x 1/4) #s(hole binary64 (pow (* 1 x) 1/4)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))))
#s(approx (+ (* (/ x (sqrt x)) y) 1) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (* (/ x (sqrt x)) y) 1) #s(hole binary64 (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))))
#s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) #s(hole binary64 (- (* (sqrt (/ 1 x)) y) 1)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))))
#s(approx (+ (* (/ x (sqrt x)) y) 1) #s(hole binary64 (* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) y)) (/ 1 x))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))))
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) #s(hole binary64 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)))
#s(approx (* (* (pow x 1/4) (pow x 1/4)) y) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))))
#s(approx (* (pow x 1/4) (pow x 1/4)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (pow x 1/4) #s(hole binary64 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- 1 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x)))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 1))
#s(approx (+ (* (/ x (sqrt x)) y) 1) #s(hole binary64 1))
#s(approx y #s(hole binary64 y))
#s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) #s(hole binary64 (* -1 x)))
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) #s(hole binary64 -1))
#s(approx (* y 1) #s(hole binary64 y))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* y (+ (sqrt x) (/ 1 y)))))
#s(approx (+ (* (/ x (sqrt x)) y) 1) #s(hole binary64 (* y (+ (sqrt x) (/ 1 y)))))
#s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) #s(hole binary64 (* y (+ (sqrt x) (* -1 (/ x y))))))
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) #s(hole binary64 (* y (- (sqrt (/ 1 x)) (/ 1 y)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))))
#s(approx (+ (* (/ x (sqrt x)) y) 1) #s(hole binary64 (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))))
#s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))))
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))))

Calls

6 calls:

Time	Variable		Point	Expression
35.0ms	x	@	-inf	((+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (* (/ x (sqrt x)) y) 1) (/ x (sqrt x)) x (sqrt x) y 1 (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (/ (* y 1) (sqrt x)) (* y 1) (+ (- 1 x) (* y (sqrt x))) (* (* (pow x 1/4) (pow x 1/4)) y) (* (pow x 1/4) (pow x 1/4)) (pow x 1/4) 1/4)
35.0ms	x	@	0	((+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (* (/ x (sqrt x)) y) 1) (/ x (sqrt x)) x (sqrt x) y 1 (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (/ (* y 1) (sqrt x)) (* y 1) (+ (- 1 x) (* y (sqrt x))) (* (* (pow x 1/4) (pow x 1/4)) y) (* (pow x 1/4) (pow x 1/4)) (pow x 1/4) 1/4)
8.0ms	x	@	inf	((+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (* (/ x (sqrt x)) y) 1) (/ x (sqrt x)) x (sqrt x) y 1 (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (/ (* y 1) (sqrt x)) (* y 1) (+ (- 1 x) (* y (sqrt x))) (* (* (pow x 1/4) (pow x 1/4)) y) (* (pow x 1/4) (pow x 1/4)) (pow x 1/4) 1/4)
2.0ms	y	@	-inf	((+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (* (/ x (sqrt x)) y) 1) (/ x (sqrt x)) x (sqrt x) y 1 (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (/ (* y 1) (sqrt x)) (* y 1) (+ (- 1 x) (* y (sqrt x))) (* (* (pow x 1/4) (pow x 1/4)) y) (* (pow x 1/4) (pow x 1/4)) (pow x 1/4) 1/4)
1.0ms	y	@	inf	((+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (* (/ x (sqrt x)) y) 1) (/ x (sqrt x)) x (sqrt x) y 1 (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (/ (* y 1) (sqrt x)) (* y 1) (+ (- 1 x) (* y (sqrt x))) (* (* (pow x 1/4) (pow x 1/4)) y) (* (pow x 1/4) (pow x 1/4)) (pow x 1/4) 1/4)

simplify126.0ms (5.1%)

Memory

14.9MiB live, 106.7MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	149	761
1	347	729
2	1115	726
0	4347	662

Stop Event

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

Counts

53 → 53

Calls

Call 1

Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y)))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (+ (* (/ x (sqrt x)) y) 1) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (/ x (sqrt x)) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) #s(hole binary64 (* (sqrt x) y)))
#s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) #s(hole binary64 (+ (* -1 x) (* (sqrt x) y))))
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) #s(hole binary64 (* (sqrt (/ 1 x)) y)))
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) #s(hole binary64 (/ (+ (* -1 x) (* (sqrt x) y)) x)))
#s(approx (/ (* y 1) (sqrt x)) #s(hole binary64 (* (sqrt (/ 1 x)) y)))
#s(approx (* (* (pow x 1/4) (pow x 1/4)) y) #s(hole binary64 (* (sqrt x) y)))
#s(approx (* (pow x 1/4) (pow x 1/4)) #s(hole binary64 (sqrt x)))
#s(approx (pow x 1/4) #s(hole binary64 (pow (* 1 x) 1/4)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))))
#s(approx (+ (* (/ x (sqrt x)) y) 1) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (* (/ x (sqrt x)) y) 1) #s(hole binary64 (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))))
#s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) #s(hole binary64 (- (* (sqrt (/ 1 x)) y) 1)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))))
#s(approx (+ (* (/ x (sqrt x)) y) 1) #s(hole binary64 (* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) y)) (/ 1 x))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))))
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) #s(hole binary64 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)))
#s(approx (* (* (pow x 1/4) (pow x 1/4)) y) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))))
#s(approx (* (pow x 1/4) (pow x 1/4)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (pow x 1/4) #s(hole binary64 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- 1 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x)))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 1))
#s(approx (+ (* (/ x (sqrt x)) y) 1) #s(hole binary64 1))
#s(approx y #s(hole binary64 y))
#s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) #s(hole binary64 (* -1 x)))
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) #s(hole binary64 -1))
#s(approx (* y 1) #s(hole binary64 y))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* y (+ (sqrt x) (/ 1 y)))))
#s(approx (+ (* (/ x (sqrt x)) y) 1) #s(hole binary64 (* y (+ (sqrt x) (/ 1 y)))))
#s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) #s(hole binary64 (* y (+ (sqrt x) (* -1 (/ x y))))))
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) #s(hole binary64 (* y (- (sqrt (/ 1 x)) (/ 1 y)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))))
#s(approx (+ (* (/ x (sqrt x)) y) 1) #s(hole binary64 (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))))
#s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))))
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))))

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

rewrite68.0ms (2.7%)

Memory

-21.4MiB live, 73.6MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	158
0	40	127
1	159	127
0	1045	122

Stop Event

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

Counts

18 → 119

Calls

Call 1

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

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

eval23.0ms (0.9%)

Memory: 14.9MiB live, 56.0MiB allocated; 10ms collecting garbage
Compiler: Compiled 4 659 to 676 computations (85.5% saved)

prune14.0ms (0.6%)

Memory

-12.1MiB live, 34.1MiB allocated; 4ms collecting garbage

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	179	4	183
Fresh	0	0	0
Picked	2	1	3
Done	0	7	7
Total	181	12	193

Accuracy

100.0%

Counts

193 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	68.1%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
✓	66.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
✓	63.2%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
	37.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) y)))
	37.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (.f64 (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) y))
	37.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 x))) y))
✓	37.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
	32.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x))
✓	32.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
✓	30.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
✓	66.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64))))
✓	63.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))

Compiler

Compiled 546 to 232 computations (57.5% saved)

regimes21.0ms (0.9%)

Memory

-4.8MiB live, 38.9MiB allocated; 7ms collecting garbage

Counts

20 → 1

Calls

Call 1

Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x))) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 x))) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) y)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (.f64 (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) y))

Outputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))

Calls

3 calls:

5.0ms	y
5.0ms	x
5.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Results

Accuracy	Segments	Branch
99.9%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
99.9%	1	`x`
99.9%	1	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes8.0ms (0.3%)

Memory

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

Counts

6 → 3

Calls

Call 1

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

Outputs

#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))

#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))

(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.2%	3	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
99.9%	3	`x`
98.2%	3	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes7.0ms (0.3%)

Memory

16.2MiB live, 16.2MiB allocated; 0ms collecting garbage

Counts

5 → 3

Calls

Call 1

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

Outputs

#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))

#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))

#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.7%	3	`y`
82.2%	3	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
80.3%	2	`x`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes2.0ms (0.1%)

Memory

5.3MiB live, 5.3MiB allocated; 0ms collecting garbage

Counts

4 → 3

Calls

Call 1

Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))

Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
95.5%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes11.0ms (0.5%)

Memory

-43.4MiB live, 11.9MiB allocated; 12ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))

#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))

#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))

Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))

Calls

3 calls:

8.0ms	x
2.0ms	y
2.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Results

Accuracy	Segments	Branch
63.2%	1	`x`
63.2%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
63.2%	1	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes4.0ms (0.2%)

Memory

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

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))

Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))

Calls

3 calls:

1.0ms	y
1.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
1.0ms	x

Results

Accuracy	Segments	Branch
60.9%	2	`x`
37.0%	3	`y`
61.4%	2	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes3.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))

Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))

Calls

3 calls:

1.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
30.6%	1	`y`
30.6%	1	`x`
30.6%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch23.0ms (0.9%)

Memory

-3.6MiB live, 41.0MiB allocated; 9ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	496619.36242952023	258234025.51407176
7.0ms	1.6718405949616097e-18	4.583968826481093e-18

Samples

13.0ms

208×

valid

Compiler

Compiled 317 to 287 computations (9.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-sub: 5.0ms (56.9% of total)

ival-add: 1.0ms (11.4% of total)

ival-mult: 1.0ms (11.4% of total)

ival-sqrt: 1.0ms (11.4% 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)

bsearch50.0ms (2%)

Memory

-7.3MiB live, 36.6MiB allocated; 12ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
39.0ms	4.975043362918305e+37	4.492624747033921e+39
9.0ms	-1.1151883402367701e+54	-4.0230602893739384e+52

Samples

10.0ms

224×

valid

Compiler

Compiled 375 to 334 computations (10.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-sqrt: 2.0ms (35.5% of total)

ival-sub: 1.0ms (17.8% of total)

ival-add: 1.0ms (17.8% of total)

ival-mult: 1.0ms (17.8% 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)

bsearch41.0ms (1.7%)

Memory

20.4MiB live, 65.6MiB allocated; 8ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
29.0ms	8.35975097112023e+60	5.378994358864365e+71
9.0ms	-1.6046430413410112e+93	-4.445678491602928e+91

Samples

28.0ms

272×

valid

Compiler

Compiled 436 to 386 computations (11.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-sub: 2.0ms (28.4% of total)

ival-mult: 2.0ms (28.4% of total)

ival-sqrt: 2.0ms (28.4% of total)

ival-add: 1.0ms (14.2% 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)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.8448241227239901	0.9997033543931537

Compiler

Compiled 11 to 12 computations (-9.1% saved)

simplify55.0ms (2.2%)

Memory

-22.8MiB live, 39.5MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	186
1	64	186
2	80	186
3	110	186
4	167	186
5	427	186
6	3420	186
7	5935	186

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 x #s(literal 5841333965851681/1298074214633706907132624082305024 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (if (<=.f64 x #s(literal 500000 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))))
(if (<=.f64 y #s(literal -580000000000000038603446096247052159269616825298583552 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 3300000000000000209052713146227835797504 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -44999999999999999057176132924958487708788574405639572698880203879111155593596049794531328000 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (sqrt.f64 x) y)) (if (<=.f64 y #s(literal 54999999999999996805656153175253908383958902763484409340661923315712 binary64)) #s(approx (+ (- 1 x) ( y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))) #s(literal -1/2 binary64)) #s(approx (+ (- 1 x) ( y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))

Outputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 x #s(literal 5841333965851681/1298074214633706907132624082305024 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (if (<=.f64 x #s(literal 500000 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))))
(if (<=.f64 y #s(literal -580000000000000038603446096247052159269616825298583552 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 3300000000000000209052713146227835797504 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))))
(if (or (<=.f64 y #s(literal -580000000000000038603446096247052159269616825298583552 binary64)) (not (<=.f64 y #s(literal 3300000000000000209052713146227835797504 binary64)))) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)))
(if (<=.f64 y #s(literal -44999999999999999057176132924958487708788574405639572698880203879111155593596049794531328000 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (sqrt.f64 x) y)) (if (<=.f64 y #s(literal 54999999999999996805656153175253908383958902763484409340661923315712 binary64)) #s(approx (+ (- 1 x) ( y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))))
(if (or (<=.f64 y #s(literal -44999999999999999057176132924958487708788574405639572698880203879111155593596049794531328000 binary64)) (not (<=.f64 y #s(literal 54999999999999996805656153175253908383958902763484409340661923315712 binary64)))) #s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (sqrt.f64 x) y)) #s(approx (+ (- 1 x) ( y (sqrt x))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))) #s(literal -1/2 binary64)) #s(approx (+ (- 1 x) ( y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))

derivations75.0ms (3%)

Memory

12.5MiB live, 56.0MiB allocated; 9ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 186 to 47 computations (74.7% saved)

preprocess53.0ms (2.1%)

Memory: 3.0MiB live, 47.0MiB allocated; 8ms collecting garbage
Compiler: Compiled 388 to 108 computations (72.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze16.0ms (0.6%)

sample752.0ms (30.4%)

explain107.0ms (4.3%)

preprocess233.0ms (9.4%)

eval0.0ms (0%)

prune0.0ms (0%)

series6.0ms (0.2%)

simplify108.0ms (4.4%)

rewrite55.0ms (2.2%)

eval6.0ms (0.2%)

prune52.0ms (2.1%)

series50.0ms (2%)

simplify95.0ms (3.9%)

rewrite52.0ms (2.1%)

eval28.0ms (1.1%)

prune13.0ms (0.5%)

series14.0ms (0.6%)

simplify82.0ms (3.3%)

rewrite54.0ms (2.2%)

eval72.0ms (2.9%)

prune9.0ms (0.4%)

series83.0ms (3.4%)

simplify126.0ms (5.1%)

rewrite68.0ms (2.7%)

eval23.0ms (0.9%)

prune14.0ms (0.6%)

regimes21.0ms (0.9%)

regimes8.0ms (0.3%)

regimes7.0ms (0.3%)

regimes2.0ms (0.1%)

regimes11.0ms (0.5%)

regimes4.0ms (0.2%)

regimes3.0ms (0.1%)

bsearch23.0ms (0.9%)

bsearch50.0ms (2%)

bsearch41.0ms (1.7%)

bsearch0.0ms (0%)

simplify55.0ms (2.2%)

derivations75.0ms (3%)

preprocess53.0ms (2.1%)

end0.0ms (0%)

Profiling