Metrics for Octave 3.8, jcobi/4, as called

start0.0ms (0%)

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

analyze3.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
0%	0%	50%	50%	0%	0%	0%	1
50%	25%	25%	50%	0%	0%	0%	2
50%	25%	25%	50%	0%	0%	0%	3
75%	37.5%	12.5%	50%	0%	0%	0%	4
87.5%	43.7%	6.2%	50%	0%	0%	0%	5
93.8%	46.9%	3.1%	50%	0%	0%	0%	6
96.9%	48.4%	1.6%	50%	0%	0%	0%	7
98.4%	49.2%	0.8%	50%	0%	0%	0%	8
99.2%	49.6%	0.4%	50%	0%	0%	0%	9
99.6%	49.8%	0.2%	50%	0%	0%	0%	10
99.8%	49.9%	0.1%	50%	0%	0%	0%	11
99.9%	49.9%	0%	50%	0%	0%	0%	12

Compiler

Compiled 29 to 13 computations (55.2% saved)

sample2.4s (39.5%)

Memory

-25.4MiB live, 2 153.3MiB allocated; 1.6s collecting garbage

Samples

1.4s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 902.0ms

ival-mult: 420.0ms (46.6% of total)

ival-div: 318.0ms (35.3% of total)

ival-sub: 100.0ms (11.1% of total)

ival->: 43.0ms (4.8% of total)

exact: 15.0ms (1.7% of total)

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

adjust: 3.0ms (0.3% of total)

Bogosity

explain225.0ms (3.8%)

Memory

-39.3MiB live, 396.5MiB allocated; 80ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
179	1	(8.385302484595914e-162)	1	(1.8202063699451172e-79)	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`
60	0	-	0	-	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`
0	0	-	0	-	`(*.f64 i i)`
0	0	-	0	-	`(.f64 (.f64 i i) (*.f64 i i))`
0	0	-	0	-	`(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))`
0	0	-	0	-	`i`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`(*.f64 #s(literal 2 binary64) i)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	o/o	60	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	91
↳	`(*.f64 i i)`	overflow	120
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	60
`/.f64`	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`	o/o	60	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	91
↳	`(*.f64 i i)`	overflow	120
↳	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	overflow	60
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	60
↳	`(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))`	overflow	60
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	60
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	u/u	56	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	88
↳	`(*.f64 i i)`	underflow	112
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	underflow	56
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	u/n	32	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	88
↳	`(*.f64 i i)`	underflow	112
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	o/n	31	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	91
↳	`(*.f64 i i)`	overflow	120

Confusion

	Predicted +	Predicted -
+	178	1
-	1	76

Precision

0.994413407821229

Recall

0.994413407821229

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	178	0	1
-	1	0	76

Precision?

0.994413407821229

Recall?

0.994413407821229

Freqs

test

number	freq
0	77
1	119
2	60

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

39.0ms

512×

valid

Compiler

Compiled 173 to 34 computations (80.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 12.0ms (55.8% of total)

ival-div: 6.0ms (27.9% of total)

ival-sub: 2.0ms (9.3% 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)

preprocess156.0ms (2.6%)

Memory

9.3MiB live, 284.9MiB allocated; 39ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	43
1	62	43
2	503	26
3	4001	26
0	10	25
0	17	21
1	56	19
2	382	13
3	3064	13
0	8431	12

Stop Event

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

Calls

Call 1

Inputs

(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))

Outputs

(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))

(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 i i))

Symmetry

(abs i)

Compiler

Compiled 25 to 10 computations (60% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	31.4%	(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))

Status

Accuracy

Program

▶

31.4%

(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))

Compiler

Compiled 25 to 10 computations (60% saved)

simplify0.0ms (0%)

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

series9.0ms (0.2%)

Memory

-25.4MiB live, 19.8MiB allocated; 4ms collecting garbage

Counts

10 → 17

Calls

Call 1

Inputs
(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))
(.f64 (.f64 i i) (*.f64 i i))
(*.f64 i i)
i
(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(*.f64 #s(literal 2 binary64) i)
#s(literal 2 binary64)
(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* 1/4 (pow i 2))
(pow i 4)
(pow i 2)
i
(* 4 (pow i 2))
(* 2 i)
-1
(- (* 4 (pow i 2)) 1)
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	i	@	inf	((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* i i) (* i i)) (* i i) i (* (* 2 i) (* 2 i)) (* 2 i) 2 (- (* (* 2 i) (* 2 i)) 1) 1)
2.0ms	i	@	-inf	((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* i i) (* i i)) (* i i) i (* (* 2 i) (* 2 i)) (* 2 i) 2 (- (* (* 2 i) (* 2 i)) 1) 1)
2.0ms	i	@	0	((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* i i) (* i i)) (* i i) i (* (* 2 i) (* 2 i)) (* 2 i) 2 (- (* (* 2 i) (* 2 i)) 1) 1)

Time

Variable

Point

Expression

5.0ms

inf

((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* i i) (* i i)) (* i i) i (* (* 2 i) (* 2 i)) (* 2 i) 2 (- (* (* 2 i) (* 2 i)) 1) 1)

2.0ms

-inf

((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* i i) (* i i)) (* i i) i (* (* 2 i) (* 2 i)) (* 2 i) 2 (- (* (* 2 i) (* 2 i)) 1) 1)

2.0ms

((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* i i) (* i i)) (* i i) i (* (* 2 i) (* 2 i)) (* 2 i) 2 (- (* (* 2 i) (* 2 i)) 1) 1)

simplify182.0ms (3.1%)

Memory

38.7MiB live, 225.1MiB allocated; 20ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	130
1	95	130
2	209	130
3	493	130
4	1134	130
5	1596	130
6	1872	130
7	2050	130
8	2064	130
9	2064	130
10	2064	130
11	2526	130
12	3445	130
13	3451	130
14	3477	130
15	3841	130
16	4549	130
17	5146	130
18	6031	130
0	8019	128

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 16

Calls

Call 1

Inputs
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* 1/4 (pow i 2))
(pow i 4)
(pow i 2)
i
(* 4 (pow i 2))
(* 2 i)
-1
(- (* 4 (pow i 2)) 1)
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))

Outputs
(* -1/4 (pow i 2))
(.f64 (.f64 #s(literal -1/4 binary64) i) i)
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(.f64 (-.f64 (.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -4 binary64) i) i) #s(literal 1 binary64)) (.f64 i i)) #s(literal 1/4 binary64)) (.f64 i i))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -16 binary64) (.f64 i i)) #s(literal 4 binary64)) i) i) #s(literal 1 binary64)) (.f64 i i)) #s(literal 1/4 binary64)) (.f64 i i))
(* 1/4 (pow i 2))
(.f64 (.f64 #s(literal 1/4 binary64) i) i)
(pow i 4)
(pow.f64 i #s(literal 4 binary64))
(pow i 2)
(*.f64 i i)
i
(* 4 (pow i 2))
(.f64 #s(literal 4 binary64) (.f64 i i))
(* 2 i)
(*.f64 #s(literal 2 binary64) i)
-1
#s(literal -1 binary64)
(- (* 4 (pow i 2)) 1)
(fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(-.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(-.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (-.f64 (-.f64 (/.f64 #s(literal -1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64)))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))

rewrite51.0ms (0.8%)

Memory

2.4MiB live, 91.5MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	72
0	17	56
1	79	50
0	661	48

Stop Event

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

Counts

10 → 184

Calls

Call 1

Inputs
(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))
(.f64 (.f64 i i) (*.f64 i i))
(*.f64 i i)
i
(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(*.f64 #s(literal 2 binary64) i)
#s(literal 2 binary64)
(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
(.f64 (/.f64 (/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 i i)) (-.f64 (.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64)))
(.f64 (/.f64 (/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 i i)) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 (/.f64 i #s(literal 2 binary64)) (/.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 (.f64 (/.f64 i #s(literal 2 binary64)) (/.f64 i i)) (-.f64 (.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 (.f64 (/.f64 i (.f64 i #s(literal 4 binary64))) (/.f64 i i)) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))))
(.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) (.f64 #s(literal 4 binary64) (.f64 i i))) (/.f64 i (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 (neg.f64 i) i) (.f64 #s(literal 4 binary64) (.f64 i i))) (/.f64 (.f64 (neg.f64 i) i) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))))
(.f64 (/.f64 i (.f64 #s(literal 4 binary64) (.f64 i i))) (/.f64 (pow.f64 i #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))))
(.f64 (.f64 (/.f64 i (.f64 i #s(literal 4 binary64))) (/.f64 i i)) (/.f64 (.f64 i i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
(.f64 (pow.f64 i #s(literal 3 binary64)) (/.f64 i (.f64 (.f64 i #s(literal 4 binary64)) (.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))))
(.f64 (.f64 (/.f64 i #s(literal 2 binary64)) (/.f64 i i)) (/.f64 (.f64 (/.f64 i #s(literal 2 binary64)) (/.f64 i i)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))))
(.f64 (.f64 (neg.f64 i) i) (/.f64 (.f64 (neg.f64 i) i) (.f64 (.f64 i #s(literal 4 binary64)) (.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))))
(.f64 (.f64 i i) (/.f64 (.f64 (/.f64 i (.f64 i #s(literal 4 binary64))) (/.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
(.f64 (.f64 i i) (/.f64 (.f64 i i) (.f64 (.f64 i #s(literal 4 binary64)) (.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))))
(.f64 i (/.f64 (pow.f64 i #s(literal 3 binary64)) (.f64 (.f64 i #s(literal 4 binary64)) (.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))))
(/.f64 (/.f64 (/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (-.f64 (.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)))
(/.f64 (/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 2 binary64)) i) (.f64 (.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
(/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))))
(/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (neg.f64 (.f64 (.f64 i #s(literal 4 binary64)) (.f64 i (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))))))
(/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) (.f64 #s(literal -4 binary64) (.f64 i i))) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
(/.f64 (/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 i i)) (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64)))))
(/.f64 (/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 i i)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64)))
(/.f64 (pow.f64 i #s(literal 4 binary64)) (.f64 (.f64 i #s(literal 4 binary64)) (.f64 i (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64)))))
(neg.f64 (/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) (.f64 #s(literal -4 binary64) (.f64 i i))) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
(neg.f64 (/.f64 (/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 i i)) (neg.f64 (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64)))))
(.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) (.f64 i #s(literal 4 binary64))) (/.f64 i i))
(.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 4 binary64)) (/.f64 i (.f64 i i)))
(.f64 (/.f64 (.f64 (neg.f64 i) i) (.f64 i #s(literal 4 binary64))) (/.f64 (.f64 (neg.f64 i) i) i))
(.f64 (/.f64 (.f64 (neg.f64 i) i) #s(literal 4 binary64)) (/.f64 (.f64 (neg.f64 i) i) (.f64 i i)))
(.f64 (/.f64 (.f64 (neg.f64 i) i) (.f64 (fabs.f64 i) #s(literal 2 binary64))) (/.f64 (.f64 (neg.f64 i) i) (*.f64 (fabs.f64 i) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (neg.f64 i) i) (.f64 #s(literal 2 binary64) i)) (/.f64 (.f64 (neg.f64 i) i) (*.f64 #s(literal 2 binary64) i)))
(.f64 (/.f64 (.f64 i i) (.f64 i #s(literal 4 binary64))) (/.f64 (.f64 i i) i))
(.f64 (/.f64 (.f64 i i) #s(literal 4 binary64)) (/.f64 (.f64 i i) (.f64 i i)))
(.f64 (/.f64 (.f64 i i) (.f64 #s(literal -2 binary64) i)) (/.f64 (.f64 i i) (*.f64 #s(literal -2 binary64) i)))
(.f64 (/.f64 (.f64 i i) (.f64 (fabs.f64 i) #s(literal 2 binary64))) (/.f64 (.f64 i i) (*.f64 (fabs.f64 i) #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) (.f64 #s(literal -2 binary64) i)) (/.f64 i (*.f64 #s(literal -2 binary64) i)))
(.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) (.f64 (fabs.f64 i) #s(literal 2 binary64))) (/.f64 i (*.f64 (fabs.f64 i) #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) (.f64 #s(literal 2 binary64) i)) (/.f64 i (*.f64 #s(literal 2 binary64) i)))
(.f64 (/.f64 (.f64 (neg.f64 i) i) #s(literal 2 binary64)) (/.f64 (.f64 (neg.f64 i) i) (.f64 (*.f64 #s(literal 2 binary64) i) i)))
(.f64 (/.f64 (.f64 i i) #s(literal 2 binary64)) (/.f64 (.f64 i i) (.f64 (*.f64 #s(literal 2 binary64) i) i)))
(.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 2 binary64)) (/.f64 i (.f64 (*.f64 #s(literal 2 binary64) i) i)))
(.f64 (/.f64 i (.f64 i #s(literal 4 binary64))) (/.f64 (pow.f64 i #s(literal 3 binary64)) i))
(.f64 (/.f64 i #s(literal 4 binary64)) (/.f64 (pow.f64 i #s(literal 3 binary64)) (.f64 i i)))
(.f64 (/.f64 i (.f64 #s(literal -2 binary64) i)) (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) i)))
(.f64 (/.f64 i (.f64 (fabs.f64 i) #s(literal 2 binary64))) (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 (fabs.f64 i) #s(literal 2 binary64))))
(.f64 (/.f64 i (.f64 #s(literal 2 binary64) i)) (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) i)))
(.f64 (/.f64 i #s(literal 2 binary64)) (/.f64 (pow.f64 i #s(literal 3 binary64)) (.f64 (*.f64 #s(literal 2 binary64) i) i)))
(.f64 (neg.f64 (.f64 (/.f64 i #s(literal 2 binary64)) (/.f64 i i))) (neg.f64 (*.f64 (/.f64 i #s(literal 2 binary64)) (/.f64 i i))))
(.f64 (fabs.f64 (.f64 (/.f64 i #s(literal 2 binary64)) (/.f64 i i))) (fabs.f64 (*.f64 (/.f64 i #s(literal 2 binary64)) (/.f64 i i))))
(.f64 (.f64 (/.f64 i (.f64 i #s(literal 4 binary64))) (/.f64 i i)) (.f64 i i))
(.f64 (pow.f64 i #s(literal 3 binary64)) (/.f64 i (.f64 #s(literal 4 binary64) (*.f64 i i))))
(.f64 (.f64 (/.f64 i #s(literal 2 binary64)) (/.f64 i i)) (*.f64 (/.f64 i #s(literal 2 binary64)) (/.f64 i i)))
(.f64 (neg.f64 i) (.f64 (neg.f64 i) (.f64 (/.f64 i (.f64 i #s(literal 4 binary64))) (/.f64 i i))))
(.f64 (.f64 (neg.f64 i) i) (/.f64 (.f64 (neg.f64 i) i) (.f64 #s(literal 4 binary64) (*.f64 i i))))
(.f64 (fabs.f64 i) (.f64 (fabs.f64 i) (.f64 (/.f64 i (.f64 i #s(literal 4 binary64))) (/.f64 i i))))
(.f64 (.f64 i i) (.f64 (/.f64 i (.f64 i #s(literal 4 binary64))) (/.f64 i i)))
(.f64 i (.f64 i (.f64 (/.f64 i (.f64 i #s(literal 4 binary64))) (/.f64 i i))))
(.f64 i (/.f64 (pow.f64 i #s(literal 3 binary64)) (.f64 #s(literal 4 binary64) (*.f64 i i))))
(pow.f64 (*.f64 (/.f64 i #s(literal 2 binary64)) (/.f64 i i)) #s(literal 2 binary64))
(/.f64 (/.f64 (/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 2 binary64)) i) #s(literal 2 binary64)) i)
(/.f64 (/.f64 (/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 2 binary64)) i) i) #s(literal 2 binary64))
(/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 i #s(literal 4 binary64))) i)
(/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 i i))
(/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) i)) (.f64 #s(literal -2 binary64) i))
(/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) (.f64 (fabs.f64 i) #s(literal 2 binary64))) (.f64 (fabs.f64 i) #s(literal 2 binary64)))
(/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) i) i))
(/.f64 (.f64 (.f64 (/.f64 i #s(literal 2 binary64)) (/.f64 i i)) (.f64 i i)) (.f64 #s(literal 2 binary64) i))
(/.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 2 binary64)) i)) (*.f64 #s(literal -2 binary64) i))
(/.f64 (/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 2 binary64)) i) (*.f64 #s(literal 2 binary64) i))
(/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (.f64 #s(literal -4 binary64) (.f64 i i)))
(/.f64 (pow.f64 i #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (.f64 i i)))
(neg.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) (.f64 #s(literal -4 binary64) (.f64 i i))))
(.f64 (.f64 (*.f64 i i) (neg.f64 i)) (neg.f64 i))
(.f64 (.f64 (*.f64 i i) (fabs.f64 i)) (fabs.f64 i))
(.f64 (.f64 (neg.f64 i) (fabs.f64 i)) (*.f64 (neg.f64 i) (fabs.f64 i)))
(.f64 (.f64 (fabs.f64 i) (neg.f64 i)) (*.f64 (fabs.f64 i) (neg.f64 i)))
(.f64 (.f64 (fabs.f64 i) i) (*.f64 (fabs.f64 i) i))
(.f64 (.f64 i (fabs.f64 i)) (*.f64 i (fabs.f64 i)))
(.f64 (pow.f64 (.f64 i i) #s(literal 1 binary64)) (pow.f64 (*.f64 i i) #s(literal 1 binary64)))
(*.f64 (pow.f64 i #s(literal 3 binary64)) i)
(.f64 (neg.f64 i) (.f64 (neg.f64 i) (*.f64 i i)))
(.f64 (.f64 (neg.f64 i) i) (*.f64 (neg.f64 i) i))
(.f64 (fabs.f64 i) (.f64 (fabs.f64 i) (*.f64 i i)))
(.f64 (.f64 i i) (*.f64 i i))
(*.f64 i (pow.f64 i #s(literal 3 binary64)))
(pow.f64 (*.f64 (neg.f64 i) i) #s(literal 2 binary64))
(pow.f64 (*.f64 i i) #s(literal 2 binary64))
(pow.f64 i #s(literal 4 binary64))
(neg.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fabs.f64 (pow.f64 i #s(literal 4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 i i)) #s(literal 2 binary64)))
(*.f64 (pow.f64 i #s(literal 1 binary64)) (pow.f64 i #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 i)) (neg.f64 (neg.f64 i)))
(*.f64 (neg.f64 (fabs.f64 i)) (neg.f64 (fabs.f64 i)))
(*.f64 (fabs.f64 (fabs.f64 i)) (fabs.f64 (fabs.f64 i)))
(*.f64 (neg.f64 i) (neg.f64 i))
(*.f64 (fabs.f64 i) (fabs.f64 i))
(*.f64 i i)
(pow.f64 (neg.f64 i) #s(literal 2 binary64))
(pow.f64 (fabs.f64 i) #s(literal 2 binary64))
(pow.f64 i #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 i) i))
(sqrt.f64 (pow.f64 i #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 i) i))
(fabs.f64 (*.f64 i i))
(exp.f64 (*.f64 (log.f64 i) #s(literal 2 binary64)))
i
(.f64 (.f64 #s(literal 4 binary64) (neg.f64 i)) (neg.f64 i))
(.f64 (.f64 #s(literal 4 binary64) (fabs.f64 i)) (fabs.f64 i))
(.f64 (.f64 #s(literal 4 binary64) i) i)
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)))
(.f64 (neg.f64 (.f64 #s(literal -2 binary64) i)) (neg.f64 (*.f64 #s(literal -2 binary64) i)))
(.f64 (neg.f64 (.f64 (fabs.f64 i) #s(literal 2 binary64))) (neg.f64 (*.f64 (fabs.f64 i) #s(literal 2 binary64))))
(.f64 (fabs.f64 (.f64 (fabs.f64 i) #s(literal 2 binary64))) (fabs.f64 (*.f64 (fabs.f64 i) #s(literal 2 binary64))))
(.f64 (.f64 (*.f64 #s(literal 2 binary64) i) i) #s(literal 2 binary64))
(.f64 (.f64 i #s(literal 4 binary64)) (*.f64 i #s(literal 1 binary64)))
(.f64 (.f64 i #s(literal 4 binary64)) i)
(.f64 #s(literal 4 binary64) (.f64 (*.f64 i i) #s(literal 1 binary64)))
(.f64 #s(literal 4 binary64) (.f64 i i))
(.f64 (.f64 #s(literal -2 binary64) i) (.f64 (.f64 #s(literal -2 binary64) i) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal -2 binary64) i) (*.f64 #s(literal -2 binary64) i))
(.f64 (.f64 (fabs.f64 i) #s(literal 2 binary64)) (.f64 (.f64 (fabs.f64 i) #s(literal 2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (fabs.f64 i) #s(literal 2 binary64)) (*.f64 (fabs.f64 i) #s(literal 2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (*.f64 i i)))
(.f64 (.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 2 binary64) i) (.f64 (.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 #s(literal 2 binary64) i) i) #s(literal 1 binary64)))
(.f64 #s(literal 2 binary64) (.f64 (*.f64 #s(literal 2 binary64) i) i))
(.f64 (.f64 i i) #s(literal 4 binary64))
(.f64 i (.f64 i #s(literal 4 binary64)))
(pow.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 2 binary64))
(pow.f64 (*.f64 (fabs.f64 i) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64))
(neg.f64 (.f64 #s(literal -4 binary64) (.f64 i i)))
(fma.f64 (.f64 #s(literal 2 binary64) i) i (.f64 (*.f64 #s(literal 2 binary64) i) i))
(fma.f64 (.f64 i i) #s(literal 2 binary64) (.f64 (*.f64 #s(literal 2 binary64) i) i))
(fma.f64 i (.f64 #s(literal 2 binary64) i) (.f64 (*.f64 #s(literal 2 binary64) i) i))
(fabs.f64 (.f64 #s(literal 4 binary64) (.f64 i i)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) i) i) (.f64 (.f64 #s(literal 2 binary64) i) i))
(*.f64 #s(literal 2 binary64) i)
(*.f64 i #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 i i) (.f64 i i)) (-.f64 i i))
(/.f64 (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 i #s(literal 3 binary64))) (fma.f64 i i (-.f64 (.f64 i i) (.f64 i i))))
(+.f64 i i)
#s(literal 2 binary64)
(.f64 (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)) (-.f64 (.f64 #s(literal -2 binary64) i) #s(literal 1 binary64)))
(.f64 (fma.f64 (fabs.f64 i) #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 (.f64 (fabs.f64 i) #s(literal 2 binary64)) #s(literal 1 binary64)))
(.f64 (-.f64 (.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64))))
(fma.f64 (*.f64 #s(literal 4 binary64) (neg.f64 i)) (neg.f64 i) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) (fabs.f64 i)) (fabs.f64 i) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))
(fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (.f64 #s(literal -2 binary64) i)) (neg.f64 (.f64 #s(literal -2 binary64) i)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (.f64 (fabs.f64 i) #s(literal 2 binary64))) (neg.f64 (.f64 (fabs.f64 i) #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (.f64 (fabs.f64 i) #s(literal 2 binary64))) (fabs.f64 (.f64 (fabs.f64 i) #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) i) i) #s(literal 2 binary64) #s(literal -1 binary64))
(fma.f64 (.f64 i #s(literal 4 binary64)) (.f64 i #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 i #s(literal 4 binary64)) i #s(literal -1 binary64))
(fma.f64 #s(literal 4 binary64) (.f64 (.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal -2 binary64) i) (.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal -2 binary64) i) (.f64 #s(literal -2 binary64) i) #s(literal -1 binary64))
(fma.f64 (.f64 (fabs.f64 i) #s(literal 2 binary64)) (.f64 (*.f64 (fabs.f64 i) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 (fabs.f64 i) #s(literal 2 binary64)) (.f64 (fabs.f64 i) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (.f64 i i)) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 4 binary64) (.f64 i i)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 2 binary64) i) (.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 (*.f64 #s(literal 2 binary64) i) i) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) i) i) #s(literal -1 binary64))
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(expm1.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
(-.f64 (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 6 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64)))))
(-.f64 (.f64 #s(literal 4 binary64) (.f64 i i)) #s(literal 1 binary64))
(+.f64 (.f64 #s(literal 4 binary64) (.f64 i i)) #s(literal -1 binary64))
#s(literal 1 binary64)

eval66.0ms (1.1%)

Memory: 7.3MiB live, 106.4MiB allocated; 36ms collecting garbage
Compiler: Compiled 7 159 to 802 computations (88.8% saved)

prune9.0ms (0.1%)

Memory

-16.2MiB live, 28.4MiB allocated; 3ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	272	6	278
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	273	6	279

Accuracy

100.0%

Counts

279 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.6%	(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i)) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
▶	51.6%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
	49.2%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -4 binary64) i) i) #s(literal 1 binary64)) (.f64 i i)) #s(literal 1/4 binary64)) (.f64 i i)))
▶	49.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (-.f64 (.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
▶	48.8%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
▶	51.7%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 402 to 194 computations (51.7% saved)

simplify0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

series10.0ms (0.2%)

Memory

-16.6MiB live, 29.3MiB allocated; 3ms collecting garbage

Counts

27 → 27

Calls

Call 1

Inputs
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i)) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i))
(.f64 (.f64 #s(literal 1/4 binary64) i) i)
(*.f64 #s(literal 1/4 binary64) i)
#s(literal 1/4 binary64)
i
(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(*.f64 #s(literal 2 binary64) i)
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
(.f64 (.f64 #s(literal -1/4 binary64) i) i)
(*.f64 #s(literal -1/4 binary64) i)
#s(literal -1/4 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
#s(literal 1/64 binary64)
(*.f64 i i)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (-.f64 (.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
(.f64 (-.f64 (.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i))
(-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64))
(*.f64 (neg.f64 i) i)
(neg.f64 i)

Outputs
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* 1/4 (pow i 2))
(* 1/4 i)
i
-1
(- (* 4 (pow i 2)) 1)
(* 4 (pow i 2))
(* 2 i)
(* -1/4 i)
(/ 1/64 (pow i 2))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(pow i 2)
-1/4
(- (* -1 (pow i 2)) 1/4)
(* -1 (pow i 2))
(* -1 i)
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	i	@	-inf	((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* 1/4 i) i) (* 1/4 i) 1/4 i (- (* (* 2 i) (* 2 i)) 1) (* (* 2 i) (* 2 i)) (* 2 i) 2 1 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) 1/16 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* -1/4 i) i) (* -1/4 i) -1/4 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (/ 1/64 (* i i)) 1/16) (/ 1/64 (* i i)) 1/64 (* i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (- (* (neg i) i) 1/4) (* i i)) (- (* (neg i) i) 1/4) (* (neg i) i) (neg i))
3.0ms	i	@	inf	((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* 1/4 i) i) (* 1/4 i) 1/4 i (- (* (* 2 i) (* 2 i)) 1) (* (* 2 i) (* 2 i)) (* 2 i) 2 1 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) 1/16 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* -1/4 i) i) (* -1/4 i) -1/4 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (/ 1/64 (* i i)) 1/16) (/ 1/64 (* i i)) 1/64 (* i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (- (* (neg i) i) 1/4) (* i i)) (- (* (neg i) i) 1/4) (* (neg i) i) (neg i))
2.0ms	i	@	0	((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* 1/4 i) i) (* 1/4 i) 1/4 i (- (* (* 2 i) (* 2 i)) 1) (* (* 2 i) (* 2 i)) (* 2 i) 2 1 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) 1/16 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* -1/4 i) i) (* -1/4 i) -1/4 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (/ 1/64 (* i i)) 1/16) (/ 1/64 (* i i)) 1/64 (* i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (- (* (neg i) i) 1/4) (* i i)) (- (* (neg i) i) 1/4) (* (neg i) i) (neg i))

Time

Variable

Point

Expression

4.0ms

-inf

((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* 1/4 i) i) (* 1/4 i) 1/4 i (- (* (* 2 i) (* 2 i)) 1) (* (* 2 i) (* 2 i)) (* 2 i) 2 1 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) 1/16 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* -1/4 i) i) (* -1/4 i) -1/4 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (/ 1/64 (* i i)) 1/16) (/ 1/64 (* i i)) 1/64 (* i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (- (* (neg i) i) 1/4) (* i i)) (- (* (neg i) i) 1/4) (* (neg i) i) (neg i))

3.0ms

inf

((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* 1/4 i) i) (* 1/4 i) 1/4 i (- (* (* 2 i) (* 2 i)) 1) (* (* 2 i) (* 2 i)) (* 2 i) 2 1 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) 1/16 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* -1/4 i) i) (* -1/4 i) -1/4 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (/ 1/64 (* i i)) 1/16) (/ 1/64 (* i i)) 1/64 (* i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (- (* (neg i) i) 1/4) (* i i)) (- (* (neg i) i) 1/4) (* (neg i) i) (neg i))

2.0ms

((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* 1/4 i) i) (* 1/4 i) 1/4 i (- (* (* 2 i) (* 2 i)) 1) (* (* 2 i) (* 2 i)) (* 2 i) 2 1 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) 1/16 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* -1/4 i) i) (* -1/4 i) -1/4 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (/ 1/64 (* i i)) 1/16) (/ 1/64 (* i i)) 1/64 (* i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (- (* (neg i) i) 1/4) (* i i)) (- (* (neg i) i) 1/4) (* (neg i) i) (neg i))

simplify91.0ms (1.5%)

Memory

34.5MiB live, 175.1MiB allocated; 17ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	64	192
1	150	192
2	418	180
3	1597	180
4	4420	180
5	7698	180
0	8273	180

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 26

Calls

Call 1

Inputs
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* 1/4 (pow i 2))
(* 1/4 i)
i
-1
(- (* 4 (pow i 2)) 1)
(* 4 (pow i 2))
(* 2 i)
(* -1/4 i)
(/ 1/64 (pow i 2))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(pow i 2)
-1/4
(- (* -1 (pow i 2)) 1/4)
(* -1 (pow i 2))
(* -1 i)
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))

Outputs
(* -1/4 (pow i 2))
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 1 binary64)) i) i) #s(literal 1/4 binary64)) (.f64 i i))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -16 binary64) (.f64 i i)) #s(literal 4 binary64)) i) i) #s(literal 1 binary64)) (.f64 i i)) #s(literal 1/4 binary64)) (.f64 i i))
(* 1/4 (pow i 2))
(.f64 #s(literal 1/4 binary64) (.f64 i i))
(* 1/4 i)
(*.f64 #s(literal 1/4 binary64) i)
i
-1
#s(literal -1 binary64)
(- (* 4 (pow i 2)) 1)
(-.f64 (.f64 #s(literal 4 binary64) (.f64 i i)) #s(literal 1 binary64))
(* 4 (pow i 2))
(.f64 #s(literal 4 binary64) (.f64 i i))
(* 2 i)
(*.f64 #s(literal 2 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64))
(pow i 2)
(*.f64 i i)
-1/4
#s(literal -1/4 binary64)
(- (* -1 (pow i 2)) 1/4)
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1 (pow i 2))
(*.f64 (neg.f64 i) i)
(* -1 i)
(neg.f64 i)
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(-.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(-.f64 (-.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (/.f64 #s(literal -1/64 binary64) (*.f64 i i))) (-.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64)))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(.f64 (.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))) i) i)
(* -1 (pow i 4))
(neg.f64 (pow.f64 i #s(literal 4 binary64)))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 i i))) (pow.f64 i #s(literal 4 binary64)))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))

rewrite189.0ms (3.2%)

Memory

-9.1MiB live, 224.1MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	258
0	50	218
1	158	206
2	1017	146
0	10093	144

Stop Event

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

Counts

27 → 2 538

Calls

Call 1

Inputs
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i)) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i))
(.f64 (.f64 #s(literal 1/4 binary64) i) i)
(*.f64 #s(literal 1/4 binary64) i)
#s(literal 1/4 binary64)
i
(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(*.f64 #s(literal 2 binary64) i)
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
(.f64 (.f64 #s(literal -1/4 binary64) i) i)
(*.f64 #s(literal -1/4 binary64) i)
#s(literal -1/4 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
#s(literal 1/64 binary64)
(*.f64 i i)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (-.f64 (.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
(.f64 (-.f64 (.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i))
(-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64))
(*.f64 (neg.f64 i) i)
(neg.f64 i)

Outputs
(.f64 (/.f64 #s(approx (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64))) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64))) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)))
(.f64 (/.f64 #s(approx (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64))) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64))) #s(literal 1 binary64))
(/.f64 (.f64 (/.f64 #s(approx (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64))) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64))) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64))) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)))
(/.f64 (.f64 #s(approx (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64))) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)))
(/.f64 (.f64 #s(approx (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64))) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64))) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)))
(/.f64 (/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64))) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64))) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)))
(/.f64 (/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64))) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)))
(/.f64 (neg.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64)))) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)))
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64))) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64))) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64))) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64))) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)) (.f64 (/.f64 #s(approx (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64))) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64))) (*.f64 #s(literal -2 binary64) i)))
(fma.f64 (/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64))) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64))) #s(literal 1 binary64) (.f64 (/.f64 #s(approx (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64))) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64))) (*.f64 #s(literal -2 binary64) i)))
(fma.f64 (/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64))) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64))) (.f64 #s(literal -2 binary64) i) (/.f64 #s(approx (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64))) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64))))
(fma.f64 (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)) (/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64))) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64))) (.f64 (.f64 #s(literal -2 binary64) i) (/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64))) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64))) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64))) (.f64 (.f64 #s(literal -2 binary64) i) (/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64))) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)))))
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(/.f64 (-.f64 (.f64 (/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (fma.f64 i i #s(literal -1/4 binary64))) (/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (fma.f64 i i #s(literal -1/4 binary64)))) (.f64 (/.f64 #s(literal -1/16 binary64) (fma.f64 i i #s(literal -1/4 binary64))) (/.f64 #s(literal -1/16 binary64) (fma.f64 i i #s(literal -1/4 binary64))))) (+.f64 (/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (fma.f64 i i #s(literal -1/4 binary64))) (/.f64 #s(literal -1/16 binary64) (fma.f64 i i #s(literal -1/4 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 i #s(literal 6 binary64)) (fma.f64 (.f64 i i) #s(literal -1/4 binary64) (+.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64))))) (/.f64 (pow.f64 i #s(literal 6 binary64)) (fma.f64 (.f64 i i) #s(literal -1/4 binary64) (+.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64)))))) (.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 (.f64 i i) #s(literal -1/4 binary64) (+.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64))))) (/.f64 #s(literal 1/64 binary64) (fma.f64 (.f64 i i) #s(literal -1/4 binary64) (+.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64))))))) (+.f64 (/.f64 (pow.f64 i #s(literal 6 binary64)) (fma.f64 (.f64 i i) #s(literal -1/4 binary64) (+.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64))))) (/.f64 #s(literal 1/64 binary64) (fma.f64 (.f64 i i) #s(literal -1/4 binary64) (+.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (fma.f64 i i #s(literal -1/4 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/16 binary64) (fma.f64 i i #s(literal -1/4 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (fma.f64 i i #s(literal -1/4 binary64))) (/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (fma.f64 i i #s(literal -1/4 binary64))) (fma.f64 (/.f64 #s(literal -1/16 binary64) (fma.f64 i i #s(literal -1/4 binary64))) (/.f64 #s(literal -1/16 binary64) (fma.f64 i i #s(literal -1/4 binary64))) (*.f64 (/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (fma.f64 i i #s(literal -1/4 binary64))) (/.f64 #s(literal -1/16 binary64) (fma.f64 i i #s(literal -1/4 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 i #s(literal 6 binary64)) (fma.f64 (.f64 i i) #s(literal -1/4 binary64) (+.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 (.f64 i i) #s(literal -1/4 binary64) (+.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 i #s(literal 6 binary64)) (fma.f64 (.f64 i i) #s(literal -1/4 binary64) (+.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64))))) (/.f64 (pow.f64 i #s(literal 6 binary64)) (fma.f64 (.f64 i i) #s(literal -1/4 binary64) (+.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64))))) (fma.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 (.f64 i i) #s(literal -1/4 binary64) (+.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64))))) (/.f64 #s(literal 1/64 binary64) (fma.f64 (.f64 i i) #s(literal -1/4 binary64) (+.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64))))) (.f64 (/.f64 (pow.f64 i #s(literal 6 binary64)) (fma.f64 (.f64 i i) #s(literal -1/4 binary64) (+.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64))))) (/.f64 #s(literal 1/64 binary64) (fma.f64 (*.f64 i i) #s(literal -1/4 binary64) (+.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64)))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)))) (neg.f64 (fma.f64 i i #s(literal -1/4 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 1/64 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 i i) #s(literal -1/4 binary64) (+.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64)))))))
(/.f64 (-.f64 (.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64))) (.f64 (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64)) #s(literal 1/16 binary64))) (*.f64 (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64)) (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 i #s(literal 6 binary64)) (fma.f64 (.f64 i i) #s(literal -1/4 binary64) (+.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64))))) (.f64 (fma.f64 (.f64 i i) #s(literal -1/4 binary64) (+.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64)))) #s(literal 1/64 binary64))) (.f64 (fma.f64 (.f64 i i) #s(literal -1/4 binary64) (+.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64)))) (fma.f64 (*.f64 i i) #s(literal -1/4 binary64) (+.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64))) (fma.f64 i i #s(literal -1/4 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 1/64 binary64))) (neg.f64 (fma.f64 (*.f64 i i) #s(literal -1/4 binary64) (+.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64)))
(/.f64 (-.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 1/64 binary64)) (fma.f64 (*.f64 i i) #s(literal -1/4 binary64) (+.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64)))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64))) (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 1/64 binary64))) (fma.f64 (*.f64 i i) #s(literal -1/4 binary64) (+.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64))))))
(neg.f64 (/.f64 (-.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) (fma.f64 i i #s(literal -1/4 binary64))))
(neg.f64 (/.f64 (-.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 1/64 binary64)) (neg.f64 (fma.f64 (*.f64 i i) #s(literal -1/4 binary64) (+.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64)))))))
(-.f64 (/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (fma.f64 i i #s(literal -1/4 binary64))) (/.f64 #s(literal -1/16 binary64) (fma.f64 i i #s(literal -1/4 binary64))))
(-.f64 (/.f64 (pow.f64 i #s(literal 6 binary64)) (fma.f64 (.f64 i i) #s(literal -1/4 binary64) (+.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64))))) (/.f64 #s(literal 1/64 binary64) (fma.f64 (.f64 i i) #s(literal -1/4 binary64) (+.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64))))))
(-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64))
(*.f64 (neg.f64 i) i)
(*.f64 i (neg.f64 i))
(neg.f64 (*.f64 i i))
(neg.f64 i)

eval299.0ms (5%)

Memory: 15.8MiB live, 431.5MiB allocated; 146ms collecting garbage
Compiler: Compiled 68 506 to 5 376 computations (92.2% saved)

prune50.0ms (0.8%)

Memory

-10.0MiB live, 127.2MiB allocated; 39ms collecting garbage

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	1 931	2	1 933
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	1 934	5	1 939

Accuracy

100.0%

Counts

1 939 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.6%	(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
✓	51.6%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
▶	49.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
✓	48.8%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
✓	51.7%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 154 to 74 computations (51.9% saved)

simplify0.0ms (0%)

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

series5.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated; 0ms collecting garbage

Counts

15 → 25

Calls

Call 1

Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
(.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
(fma.f64 i i #s(literal 1/4 binary64))
i
#s(literal 1/4 binary64)
(neg.f64 i)
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i))
(.f64 (.f64 #s(literal 1/4 binary64) i) i)
(*.f64 #s(literal 1/4 binary64) i)
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
(*.f64 i i)
#s(literal 4 binary64)
#s(literal -1 binary64)

Outputs
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* 1/4 i)
(* i (+ 1/4 (pow i 2)))
1/4
(+ 1/4 (pow i 2))
i
(* -1 i)
(* 1/4 (pow i 2))
-1
(- (* 4 (pow i 2)) 1)
(pow i 2)
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(pow i 3)
(* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(* 4 (pow i 2))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	i	@	-inf	((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* (+ (* i i) 1/4) i) (neg i)) (* (+ (* i i) 1/4) i) (+ (* i i) 1/4) i 1/4 (neg i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ (* (* i i) 4) -1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* 1/4 i) i) (* 1/4 i) (+ (* (* i i) 4) -1) (* i i) 4 -1)
2.0ms	i	@	inf	((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* (+ (* i i) 1/4) i) (neg i)) (* (+ (* i i) 1/4) i) (+ (* i i) 1/4) i 1/4 (neg i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ (* (* i i) 4) -1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* 1/4 i) i) (* 1/4 i) (+ (* (* i i) 4) -1) (* i i) 4 -1)
1.0ms	i	@	0	((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* (+ (* i i) 1/4) i) (neg i)) (* (+ (* i i) 1/4) i) (+ (* i i) 1/4) i 1/4 (neg i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ (* (* i i) 4) -1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* 1/4 i) i) (* 1/4 i) (+ (* (* i i) 4) -1) (* i i) 4 -1)

Time

Variable

Point

Expression

2.0ms

-inf

((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* (+ (* i i) 1/4) i) (neg i)) (* (+ (* i i) 1/4) i) (+ (* i i) 1/4) i 1/4 (neg i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ (* (* i i) 4) -1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* 1/4 i) i) (* 1/4 i) (+ (* (* i i) 4) -1) (* i i) 4 -1)

2.0ms

inf

((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* (+ (* i i) 1/4) i) (neg i)) (* (+ (* i i) 1/4) i) (+ (* i i) 1/4) i 1/4 (neg i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ (* (* i i) 4) -1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* 1/4 i) i) (* 1/4 i) (+ (* (* i i) 4) -1) (* i i) 4 -1)

1.0ms

((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* (+ (* i i) 1/4) i) (neg i)) (* (+ (* i i) 1/4) i) (+ (* i i) 1/4) i 1/4 (neg i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ (* (* i i) 4) -1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* 1/4 i) i) (* 1/4 i) (+ (* (* i i) 4) -1) (* i i) 4 -1)

simplify99.0ms (1.7%)

Memory

2.6MiB live, 146.8MiB allocated; 64ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	175
1	147	175
2	397	175
3	1391	175
4	4386	173
0	8063	169

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 24

Calls

Call 1

Inputs
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* 1/4 i)
(* i (+ 1/4 (pow i 2)))
1/4
(+ 1/4 (pow i 2))
i
(* -1 i)
(* 1/4 (pow i 2))
-1
(- (* 4 (pow i 2)) 1)
(pow i 2)
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(pow i 3)
(* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(* 4 (pow i 2))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))

Outputs
(* -1/4 (pow i 2))
(.f64 (.f64 #s(literal -1/4 binary64) i) i)
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 1 binary64)) i) i) #s(literal 1/4 binary64)) (.f64 i i))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -16 binary64) (.f64 i i)) #s(literal 4 binary64)) i) i) #s(literal 1 binary64)) (.f64 i i)) #s(literal 1/4 binary64)) (.f64 i i))
(* 1/4 i)
(*.f64 #s(literal 1/4 binary64) i)
(* i (+ 1/4 (pow i 2)))
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
1/4
#s(literal 1/4 binary64)
(+ 1/4 (pow i 2))
(fma.f64 i i #s(literal 1/4 binary64))
i
(* -1 i)
(neg.f64 i)
(* 1/4 (pow i 2))
(.f64 (.f64 #s(literal 1/4 binary64) i) i)
-1
#s(literal -1 binary64)
(- (* 4 (pow i 2)) 1)
(-.f64 (.f64 #s(literal 4 binary64) (.f64 i i)) #s(literal 1 binary64))
(pow i 2)
(*.f64 i i)
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(-.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (-.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (/.f64 #s(literal -1/64 binary64) (*.f64 i i))))
(* -1 (pow i 4))
(neg.f64 (pow.f64 i #s(literal 4 binary64)))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
(pow i 3)
(pow.f64 i #s(literal 3 binary64))
(* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
(* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(fma.f64 i i #s(literal 1/4 binary64))
(* 4 (pow i 2))
(.f64 #s(literal 4 binary64) (.f64 i i))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(.f64 (.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))) i) i)

rewrite64.0ms (1.1%)

Memory

13.8MiB live, 58.8MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	126
0	34	112
1	142	105
0	1029	105

Stop Event

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

Counts

15 → 129

Calls

Call 1

Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
(.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
(fma.f64 i i #s(literal 1/4 binary64))
i
#s(literal 1/4 binary64)
(neg.f64 i)
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i))
(.f64 (.f64 #s(literal 1/4 binary64) i) i)
(*.f64 #s(literal 1/4 binary64) i)
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
(*.f64 i i)
#s(literal 4 binary64)
#s(literal -1 binary64)

Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (neg.f64 i) i) (fma.f64 i i #s(literal 1/4 binary64))))
(.f64 (.f64 (neg.f64 i) (fma.f64 i i #s(literal 1/4 binary64))) i)
(.f64 (neg.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)) i)
(.f64 (.f64 (neg.f64 i) i) (fma.f64 i i #s(literal 1/4 binary64)))
(.f64 (neg.f64 i) (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i))
(.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
(.f64 (fma.f64 i i #s(literal 1/4 binary64)) (.f64 (neg.f64 i) i))
(.f64 i (.f64 (fma.f64 i i #s(literal 1/4 binary64)) (neg.f64 i)))
(/.f64 (.f64 (-.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) (.f64 (neg.f64 i) i)) (-.f64 (*.f64 i i) #s(literal 1/4 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 6 binary64))) (.f64 (neg.f64 i) i)) (-.f64 (+.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) i) i)))
(neg.f64 (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) i))
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
(*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) i) (-.f64 (.f64 i i) #s(literal 1/4 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 6 binary64))) i) (-.f64 (+.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) (.f64 (*.f64 #s(literal 1/4 binary64) i) i)))
(/.f64 (.f64 i (-.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64))) (-.f64 (.f64 i i) #s(literal 1/4 binary64)))
(/.f64 (.f64 i (+.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) (.f64 (*.f64 #s(literal 1/4 binary64) i) i)))
(fma.f64 (.f64 i (fabs.f64 i)) (fabs.f64 i) (.f64 #s(literal 1/4 binary64) i))
(fma.f64 (.f64 (neg.f64 i) i) (neg.f64 i) (.f64 #s(literal 1/4 binary64) i))
(fma.f64 (fabs.f64 i) (.f64 (fabs.f64 i) i) (.f64 #s(literal 1/4 binary64) i))
(fma.f64 (neg.f64 i) (.f64 (neg.f64 i) i) (.f64 #s(literal 1/4 binary64) i))
(fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64)))
(fma.f64 (.f64 i i) i (.f64 #s(literal 1/4 binary64) i))
(fma.f64 i #s(literal 1/4 binary64) (pow.f64 i #s(literal 3 binary64)))
(fma.f64 i (.f64 i i) (.f64 #s(literal 1/4 binary64) i))
(+.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal 1/4 binary64) i))
(+.f64 (*.f64 #s(literal 1/4 binary64) i) (pow.f64 i #s(literal 3 binary64)))
(/.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 i i)))
(/.f64 (neg.f64 (-.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64))) (neg.f64 (-.f64 (*.f64 i i) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) i) i))))
(/.f64 (-.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) (-.f64 (*.f64 i i) #s(literal 1/4 binary64)))
(/.f64 (+.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 6 binary64))) (+.f64 #s(literal 1/16 binary64) (-.f64 (pow.f64 i #s(literal 4 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) i) i))))
(/.f64 (+.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) i) i)))
(fma.f64 (pow.f64 i #s(literal 1 binary64)) (pow.f64 i #s(literal 1 binary64)) #s(literal 1/4 binary64))
(fma.f64 (neg.f64 (fabs.f64 i)) (neg.f64 (fabs.f64 i)) #s(literal 1/4 binary64))
(fma.f64 (neg.f64 (neg.f64 i)) (neg.f64 (neg.f64 i)) #s(literal 1/4 binary64))
(fma.f64 (fabs.f64 (fabs.f64 i)) (fabs.f64 (fabs.f64 i)) #s(literal 1/4 binary64))
(fma.f64 (fabs.f64 i) (fabs.f64 i) #s(literal 1/4 binary64))
(fma.f64 (neg.f64 i) (neg.f64 i) #s(literal 1/4 binary64))
(fma.f64 i i #s(literal 1/4 binary64))
(-.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) (-.f64 (.f64 i i) #s(literal 1/4 binary64))) (/.f64 #s(literal 1/16 binary64) (-.f64 (.f64 i i) #s(literal 1/4 binary64))))
(-.f64 #s(literal 1/4 binary64) (*.f64 (neg.f64 i) i))
(+.f64 (/.f64 (pow.f64 i #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) i) i))) (/.f64 #s(literal 1/64 binary64) (-.f64 (+.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) i) i))))
(+.f64 #s(literal 1/4 binary64) (*.f64 i i))
(+.f64 (*.f64 i i) #s(literal 1/4 binary64))
i
#s(literal 1/4 binary64)
(neg.f64 i)
(.f64 (/.f64 #s(approx (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i)) (-.f64 (.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64)))
(.f64 (/.f64 #s(approx (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (.f64 i i)))))
(/.f64 (neg.f64 (neg.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i)))) (neg.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))))
(/.f64 (neg.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i))) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))
(neg.f64 (/.f64 (neg.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i))) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
(neg.f64 (/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i))
(.f64 (.f64 #s(literal 1/4 binary64) (fabs.f64 i)) (fabs.f64 i))
(.f64 (.f64 #s(literal 1/4 binary64) (neg.f64 i)) (neg.f64 i))
(.f64 (fabs.f64 i) (.f64 (fabs.f64 i) #s(literal 1/4 binary64)))
(.f64 (.f64 #s(literal 1/4 binary64) i) i)
(.f64 (neg.f64 i) (.f64 (neg.f64 i) #s(literal 1/4 binary64)))
(.f64 #s(literal 1/4 binary64) (.f64 i i))
(.f64 (.f64 i i) #s(literal 1/4 binary64))
(.f64 i (.f64 #s(literal 1/4 binary64) i))
(*.f64 #s(literal 1/4 binary64) i)
(*.f64 i #s(literal 1/4 binary64))
(.f64 (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)) (-.f64 (.f64 #s(literal -2 binary64) i) #s(literal 1 binary64)))
(.f64 (fma.f64 (fabs.f64 i) #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 (.f64 (fabs.f64 i) #s(literal 2 binary64)) #s(literal 1 binary64)))
(.f64 (-.f64 (.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 4 binary64) (*.f64 i i))))
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (.f64 i i))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 64 binary64) (pow.f64 i #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 64 binary64) (pow.f64 i #s(literal 6 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) (.f64 #s(literal -4 binary64) (*.f64 i i)))))
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (.f64 i i)))))
(fma.f64 (*.f64 #s(literal 4 binary64) (fabs.f64 i)) (fabs.f64 i) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) (neg.f64 i)) (neg.f64 i) #s(literal -1 binary64))
(fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (.f64 #s(literal -2 binary64) i)) (neg.f64 (.f64 #s(literal -2 binary64) i)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (.f64 (fabs.f64 i) #s(literal 2 binary64))) (neg.f64 (.f64 (fabs.f64 i) #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (.f64 (fabs.f64 i) #s(literal 2 binary64))) (fabs.f64 (.f64 (fabs.f64 i) #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) i) i) #s(literal 2 binary64) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 4 binary64) i) (.f64 i #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal -2 binary64) i) (.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal -2 binary64) i) (.f64 #s(literal -2 binary64) i) #s(literal -1 binary64))
(fma.f64 (.f64 (fabs.f64 i) #s(literal 2 binary64)) (.f64 (*.f64 (fabs.f64 i) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 (fabs.f64 i) #s(literal 2 binary64)) (.f64 (fabs.f64 i) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 i) (*.f64 (fabs.f64 i) #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 4 binary64) (.f64 (.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(fma.f64 (neg.f64 i) (*.f64 (neg.f64 i) #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (.f64 i i)) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 4 binary64) (.f64 i i)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 2 binary64) i) (.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 (*.f64 #s(literal 2 binary64) i) i) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) i) i) #s(literal -1 binary64))
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
(fma.f64 i (.f64 (.f64 #s(literal 4 binary64) i) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 i (*.f64 #s(literal 4 binary64) i) #s(literal -1 binary64))
(expm1.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
(-.f64 (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 64 binary64) (pow.f64 i #s(literal 6 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64)))))
(-.f64 #s(literal -1 binary64) (.f64 #s(literal -4 binary64) (.f64 i i)))
(-.f64 (.f64 #s(literal 4 binary64) (.f64 i i)) #s(literal 1 binary64))
(+.f64 (/.f64 (.f64 #s(literal 64 binary64) (pow.f64 i #s(literal 6 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (.f64 i i))))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (*.f64 i i))))))
(+.f64 #s(literal -1 binary64) (.f64 #s(literal 4 binary64) (.f64 i i)))
(+.f64 (.f64 #s(literal 4 binary64) (.f64 i i)) #s(literal -1 binary64))
(*.f64 (pow.f64 i #s(literal 1 binary64)) (pow.f64 i #s(literal 1 binary64)))
(*.f64 (neg.f64 (fabs.f64 i)) (neg.f64 (fabs.f64 i)))
(*.f64 (neg.f64 (neg.f64 i)) (neg.f64 (neg.f64 i)))
(*.f64 (fabs.f64 (fabs.f64 i)) (fabs.f64 (fabs.f64 i)))
(*.f64 (fabs.f64 i) (fabs.f64 i))
(*.f64 (neg.f64 i) (neg.f64 i))
(*.f64 i i)
(pow.f64 (fabs.f64 i) #s(literal 2 binary64))
(pow.f64 (neg.f64 i) #s(literal 2 binary64))
(pow.f64 i #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 i) i))
(sqrt.f64 (pow.f64 i #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 i) i))
(fabs.f64 (*.f64 i i))
(exp.f64 (*.f64 (log.f64 i) #s(literal 2 binary64)))
#s(literal 4 binary64)
#s(literal -1 binary64)

eval52.0ms (0.9%)

Memory: -4.7MiB live, 55.3MiB allocated; 6ms collecting garbage
Compiler: Compiled 5 529 to 520 computations (90.6% saved)

prune8.0ms (0.1%)

Memory

-30.0MiB live, 15.7MiB allocated; 4ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	157	1	158
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	157	6	163

Accuracy

100.0%

Counts

163 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.6%	(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
✓	51.6%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
▶	49.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (fma.f64 (.f64 i i) i (*.f64 #s(literal 1/4 binary64) i)) (neg.f64 i)))
✓	49.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
✓	48.8%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
✓	51.7%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 191 to 91 computations (52.4% saved)

simplify0.0ms (0%)

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

series5.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB allocated; 0ms collecting garbage

Counts

8 → 17

Calls

Call 1

Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (fma.f64 (.f64 i i) i (*.f64 #s(literal 1/4 binary64) i)) (neg.f64 i)))
(.f64 (fma.f64 (.f64 i i) i (*.f64 #s(literal 1/4 binary64) i)) (neg.f64 i))
(fma.f64 (.f64 i i) i (.f64 #s(literal 1/4 binary64) i))
(*.f64 i i)
i
(*.f64 #s(literal 1/4 binary64) i)
#s(literal 1/4 binary64)
(neg.f64 i)

Outputs
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* 1/4 i)
(* i (+ 1/4 (pow i 2)))
(pow i 2)
i
(* -1 i)
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(pow i 3)
(* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (+ (* (* i i) i) (* 1/4 i)) (neg i)) (+ (* (* i i) i) (* 1/4 i)) (* i i) i (* 1/4 i) 1/4 (neg i))

1.0ms

-inf

((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (+ (* (* i i) i) (* 1/4 i)) (neg i)) (+ (* (* i i) i) (* 1/4 i)) (* i i) i (* 1/4 i) 1/4 (neg i))

1.0ms

inf

((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (+ (* (* i i) i) (* 1/4 i)) (neg i)) (+ (* (* i i) i) (* 1/4 i)) (* i i) i (* 1/4 i) 1/4 (neg i))

simplify102.0ms (1.7%)

Memory

-44.9MiB live, 126.5MiB allocated; 14ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	137
1	131	137
2	355	136
3	1078	136
4	3720	135
5	6620	135
0	8407	133

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 16

Calls

Call 1

Inputs
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* 1/4 i)
(* i (+ 1/4 (pow i 2)))
(pow i 2)
i
(* -1 i)
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(pow i 3)
(* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))

Outputs
(* -1/4 (pow i 2))
(.f64 (.f64 #s(literal -1/4 binary64) i) i)
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(.f64 (.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) i) i)
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 1 binary64)) i) i) #s(literal 1/4 binary64)) (.f64 i i))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -16 binary64) (.f64 i i)) #s(literal 4 binary64)) i) i) #s(literal 1 binary64)) (.f64 i i)) #s(literal 1/4 binary64)) (.f64 i i))
(* 1/4 i)
(*.f64 #s(literal 1/4 binary64) i)
(* i (+ 1/4 (pow i 2)))
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
(pow i 2)
(*.f64 i i)
i
(* -1 i)
(neg.f64 i)
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(-.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (-.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (/.f64 #s(literal -1/64 binary64) (*.f64 i i))))
(* -1 (pow i 4))
(neg.f64 (pow.f64 i #s(literal 4 binary64)))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 i i))) (pow.f64 i #s(literal 4 binary64)))
(pow i 3)
(pow.f64 i #s(literal 3 binary64))
(* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)

rewrite66.0ms (1.1%)

Memory

23.0MiB live, 70.2MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	66
0	23	57
1	108	55
0	885	51

Stop Event

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

Counts

8 → 77

Calls

Call 1

Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (fma.f64 (.f64 i i) i (*.f64 #s(literal 1/4 binary64) i)) (neg.f64 i)))
(.f64 (fma.f64 (.f64 i i) i (*.f64 #s(literal 1/4 binary64) i)) (neg.f64 i))
(fma.f64 (.f64 i i) i (.f64 #s(literal 1/4 binary64) i))
(*.f64 i i)
i
(*.f64 #s(literal 1/4 binary64) i)
#s(literal 1/4 binary64)
(neg.f64 i)

Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (neg.f64 i) i) (fma.f64 i i #s(literal 1/4 binary64))))
(.f64 (neg.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)) i)
(.f64 (.f64 (neg.f64 i) i) (fma.f64 i i #s(literal 1/4 binary64)))
(.f64 (neg.f64 i) (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i))
(.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
(.f64 i (.f64 (fma.f64 i i #s(literal 1/4 binary64)) (neg.f64 i)))
(/.f64 (.f64 (-.f64 (pow.f64 i #s(literal 6 binary64)) (.f64 #s(literal 1/16 binary64) (.f64 i i))) (neg.f64 i)) (.f64 i (-.f64 (*.f64 i i) #s(literal 1/4 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 3 binary64)) (pow.f64 i #s(literal 9 binary64))) (neg.f64 i)) (fma.f64 (.f64 #s(literal 1/4 binary64) i) (-.f64 (*.f64 #s(literal 1/4 binary64) i) (pow.f64 i #s(literal 3 binary64))) (pow.f64 i #s(literal 6 binary64))))
(/.f64 (.f64 (neg.f64 i) (-.f64 (pow.f64 i #s(literal 6 binary64)) (.f64 #s(literal 1/16 binary64) (.f64 i i)))) (.f64 i (-.f64 (*.f64 i i) #s(literal 1/4 binary64))))
(/.f64 (.f64 (neg.f64 i) (fma.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 3 binary64)) (pow.f64 i #s(literal 9 binary64)))) (fma.f64 (.f64 #s(literal 1/4 binary64) i) (-.f64 (*.f64 #s(literal 1/4 binary64) i) (pow.f64 i #s(literal 3 binary64))) (pow.f64 i #s(literal 6 binary64))))
(neg.f64 (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) i))
(fma.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64))) i (.f64 (.f64 #s(literal 1/4 binary64) i) (neg.f64 i)))
(fma.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64))) i (.f64 (neg.f64 i) (.f64 #s(literal 1/4 binary64) i)))
(fma.f64 (.f64 (neg.f64 i) i) (.f64 i i) (.f64 (.f64 #s(literal 1/4 binary64) i) (neg.f64 i)))
(fma.f64 (.f64 (neg.f64 i) i) (.f64 i i) (.f64 (neg.f64 i) (.f64 #s(literal 1/4 binary64) i)))
(fma.f64 (pow.f64 i #s(literal 3 binary64)) (neg.f64 i) (.f64 (.f64 #s(literal 1/4 binary64) i) (neg.f64 i)))
(fma.f64 (pow.f64 i #s(literal 3 binary64)) (neg.f64 i) (.f64 (neg.f64 i) (.f64 #s(literal 1/4 binary64) i)))
(fma.f64 (neg.f64 i) (pow.f64 i #s(literal 3 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) i) (neg.f64 i)))
(fma.f64 (neg.f64 i) (pow.f64 i #s(literal 3 binary64)) (.f64 (neg.f64 i) (.f64 #s(literal 1/4 binary64) i)))
(fma.f64 (neg.f64 i) (*.f64 #s(literal 1/4 binary64) i) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 (*.f64 #s(literal 1/4 binary64) i) (neg.f64 i) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 (.f64 i i) (.f64 (neg.f64 i) i) (.f64 (.f64 #s(literal 1/4 binary64) i) (neg.f64 i)))
(fma.f64 (.f64 i i) (.f64 (neg.f64 i) i) (.f64 (neg.f64 i) (.f64 #s(literal 1/4 binary64) i)))
(fma.f64 i (neg.f64 (pow.f64 i #s(literal 3 binary64))) (.f64 (.f64 #s(literal 1/4 binary64) i) (neg.f64 i)))
(fma.f64 i (neg.f64 (pow.f64 i #s(literal 3 binary64))) (.f64 (neg.f64 i) (.f64 #s(literal 1/4 binary64) i)))
(+.f64 (.f64 (.f64 #s(literal 1/4 binary64) i) (neg.f64 i)) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(+.f64 (.f64 (neg.f64 i) (.f64 #s(literal 1/4 binary64) i)) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(+.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (.f64 (.f64 #s(literal 1/4 binary64) i) (neg.f64 i)))
(+.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (.f64 (neg.f64 i) (.f64 #s(literal 1/4 binary64) i)))
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
(.f64 i (-.f64 (.f64 i i) #s(literal -1/4 binary64)))
(*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))
(/.f64 (-.f64 (pow.f64 i #s(literal 6 binary64)) (.f64 (.f64 #s(literal -1/4 binary64) i) (.f64 #s(literal -1/4 binary64) i))) (.f64 i (-.f64 (*.f64 i i) #s(literal 1/4 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 i i)) (pow.f64 i #s(literal 6 binary64))) (-.f64 (*.f64 #s(literal 1/4 binary64) i) (pow.f64 i #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 i #s(literal 9 binary64)) (pow.f64 (.f64 #s(literal -1/4 binary64) i) #s(literal 3 binary64))) (+.f64 (pow.f64 i #s(literal 6 binary64)) (fma.f64 (.f64 #s(literal -1/4 binary64) i) (.f64 #s(literal -1/4 binary64) i) (.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal -1/4 binary64) i)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 i #s(literal 6 binary64)) (.f64 #s(literal 1/16 binary64) (.f64 i i)))) (neg.f64 (.f64 i (-.f64 (.f64 i i) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 3 binary64)) (pow.f64 i #s(literal 9 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) i) (-.f64 (.f64 #s(literal 1/4 binary64) i) (pow.f64 i #s(literal 3 binary64))) (pow.f64 i #s(literal 6 binary64)))))
(/.f64 (-.f64 (pow.f64 i #s(literal 6 binary64)) (.f64 #s(literal 1/16 binary64) (.f64 i i))) (.f64 i (-.f64 (.f64 i i) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 3 binary64)) (pow.f64 i #s(literal 9 binary64))) (fma.f64 #s(literal 1/16 binary64) (.f64 i i) (-.f64 (pow.f64 i #s(literal 6 binary64)) (.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 3 binary64)) (pow.f64 i #s(literal 9 binary64))) (fma.f64 (.f64 #s(literal 1/4 binary64) i) (-.f64 (.f64 #s(literal 1/4 binary64) i) (pow.f64 i #s(literal 3 binary64))) (pow.f64 i #s(literal 6 binary64))))
(fma.f64 (.f64 i (fabs.f64 i)) (fabs.f64 i) (.f64 #s(literal 1/4 binary64) i))
(fma.f64 (pow.f64 i #s(literal 3/2 binary64)) (pow.f64 i #s(literal 3/2 binary64)) (*.f64 #s(literal 1/4 binary64) i))
(fma.f64 (.f64 (neg.f64 i) i) (neg.f64 i) (.f64 #s(literal 1/4 binary64) i))
(fma.f64 (fabs.f64 i) (.f64 (fabs.f64 i) i) (.f64 #s(literal 1/4 binary64) i))
(fma.f64 (neg.f64 i) (.f64 (neg.f64 i) i) (.f64 #s(literal 1/4 binary64) i))
(fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64)))
(fma.f64 (.f64 i i) i (.f64 #s(literal 1/4 binary64) i))
(fma.f64 i #s(literal 1/4 binary64) (pow.f64 i #s(literal 3 binary64)))
(fma.f64 i (.f64 i i) (.f64 #s(literal 1/4 binary64) i))
(-.f64 (/.f64 (pow.f64 i #s(literal 6 binary64)) (.f64 i (-.f64 (.f64 i i) #s(literal 1/4 binary64)))) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 i i)) (.f64 i (-.f64 (.f64 i i) #s(literal 1/4 binary64)))))
(-.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 (neg.f64 i) #s(literal 1/4 binary64)))
(-.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal -1/4 binary64) i))
(-.f64 (.f64 #s(literal 1/4 binary64) i) (.f64 (*.f64 (neg.f64 i) i) i))
(-.f64 (.f64 #s(literal 1/4 binary64) i) (.f64 (neg.f64 i) (*.f64 i i)))
(+.f64 (/.f64 (pow.f64 i #s(literal 9 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) i) (-.f64 (.f64 #s(literal 1/4 binary64) i) (pow.f64 i #s(literal 3 binary64))) (pow.f64 i #s(literal 6 binary64)))) (/.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/4 binary64) i) (-.f64 (*.f64 #s(literal 1/4 binary64) i) (pow.f64 i #s(literal 3 binary64))) (pow.f64 i #s(literal 6 binary64)))))
(+.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal 1/4 binary64) i))
(+.f64 (*.f64 #s(literal 1/4 binary64) i) (pow.f64 i #s(literal 3 binary64)))
(*.f64 (pow.f64 i #s(literal 1 binary64)) (pow.f64 i #s(literal 1 binary64)))
(*.f64 (neg.f64 (fabs.f64 i)) (neg.f64 (fabs.f64 i)))
(*.f64 (neg.f64 (neg.f64 i)) (neg.f64 (neg.f64 i)))
(*.f64 (fabs.f64 (fabs.f64 i)) (fabs.f64 (fabs.f64 i)))
(*.f64 (fabs.f64 i) (fabs.f64 i))
(*.f64 (neg.f64 i) (neg.f64 i))
(*.f64 i i)
(pow.f64 (fabs.f64 i) #s(literal 2 binary64))
(pow.f64 (neg.f64 i) #s(literal 2 binary64))
(pow.f64 i #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 i) i))
(sqrt.f64 (pow.f64 i #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 i) i))
(fabs.f64 (*.f64 i i))
(exp.f64 (*.f64 (log.f64 i) #s(literal 2 binary64)))
i
(*.f64 #s(literal 1/4 binary64) i)
(*.f64 i #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(neg.f64 i)

eval11.0ms (0.2%)

Memory: 19.2MiB live, 19.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 841 to 351 computations (90.9% saved)

prune25.0ms (0.4%)

Memory

-30.3MiB live, 15.4MiB allocated; 5ms collecting garbage

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	96	6	102

Accuracy

100.0%

Counts

102 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.6%	(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
✓	51.6%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
✓	49.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (fma.f64 (.f64 i i) i (*.f64 #s(literal 1/4 binary64) i)) (neg.f64 i)))
✓	49.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
✓	48.8%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
✓	51.7%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 517 to 149 computations (71.2% saved)

regimes7.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated; 0ms collecting garbage

Counts

10 → 2

Calls

Call 1

Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (-.f64 (.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (fma.f64 (.f64 i i) i (*.f64 #s(literal 1/4 binary64) i)) (neg.f64 i)))
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -4 binary64) i) i) #s(literal 1 binary64)) (.f64 i i)) #s(literal 1/4 binary64)) (.f64 i i)))
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i)) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))

Outputs

(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))

#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Calls

2 calls:

3.0ms

(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
78.8%	2	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`
100.0%	2	`i`

Compiler

Compiled 26 to 11 computations (57.7% saved)

regimes3.0ms (0%)

Memory

4.7MiB live, 4.7MiB allocated; 0ms collecting garbage

Counts

6 → 2

Calls

Call 1

Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (-.f64 (.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (fma.f64 (.f64 i i) i (*.f64 #s(literal 1/4 binary64) i)) (neg.f64 i)))

Outputs

#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (*.f64 i i) i (*.f64 #s(literal 1/4 binary64) i)) (neg.f64 i)))

#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.5%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated; 0ms collecting garbage

Counts

5 → 2

Calls

Call 1

Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (-.f64 (.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i)))

Outputs

#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))

#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.5%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))

#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))

Outputs

#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))

#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
99.2%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs

#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))

Outputs

#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))

#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
98.7%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory

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

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Calls

2 calls:

1.0ms

(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
51.7%	1	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`
51.7%	1	`i`

Compiler

Compiled 26 to 11 computations (57.7% saved)

bsearch4.0ms (0.1%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
3.0ms	246737.06911546903	650067899.7715478

Samples

2.0ms

32×

valid

Compiler

Compiled 138 to 74 computations (46.4% saved)

Precisions

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

ival-mult: 1.0ms (79.9% of total)

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

ival-div: 0.0ms (0% 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)

bsearch24.0ms (0.4%)

Memory

-26.3MiB live, 18.3MiB allocated; 9ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	0.0004772682673559113	83.4433676198779

Samples

15.0ms

144×

valid

Compiler

Compiled 658 to 329 computations (50% saved)

Precisions

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

ival-mult: 10.0ms (81.4% of total)

ival-div: 2.0ms (16.3% of total)

ival-sub: 1.0ms (8.1% 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)

bsearch2.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0004772682673559113	83.4433676198779

Compiler

Compiled 640 to 320 computations (50% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0004772682673559113	83.4433676198779

Compiler

Compiled 586 to 284 computations (51.5% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0004772682673559113	83.4433676198779

Compiler

Compiled 550 to 266 computations (51.6% saved)

simplify63.0ms (1.1%)

Memory

13.5MiB live, 62.8MiB allocated; 9ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	360
1	90	338
2	436	294
3	3249	294

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 i #s(literal 20000000 binary64)) (/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) #s(approx (/ (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (fma.f64 (.f64 i i) i (.f64 #s(literal 1/4 binary64) i)) (neg.f64 i))) #s(approx (/ (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(literal -1/4 binary64) i) i)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Outputs
(if (<=.f64 i #s(literal 20000000 binary64)) (/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) #s(approx (/ (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (fma.f64 (.f64 i i) i (.f64 #s(literal 1/4 binary64) i)) (neg.f64 i))) #s(approx (/ (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(literal -1/4 binary64) i) i)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

derivations1.7s (27.9%)

Memory

-17.9MiB live, 469.3MiB allocated; 77ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	126
0	34	112
1	142	105
0	1029	105
0	64	192
1	150	192
2	418	180
3	1597	180
4	4420	180
5	7698	180
0	8273	180
0	34	258
0	50	218
1	158	206
2	1017	146
0	10093	144
0	50	130
1	95	130
2	209	130
3	493	130
4	1134	130
5	1596	130
6	1872	130
7	2050	130
8	2064	130
9	2064	130
10	2064	130
11	2526	130
12	3445	130
13	3451	130
14	3477	130
15	3841	130
16	4549	130
17	5146	130
18	6031	130
0	8019	128

Stop Event

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

Compiler

Compiled 360 to 46 computations (87.2% saved)

preprocess49.0ms (0.8%)

Memory: 28.0MiB live, 72.4MiB allocated; 5ms collecting garbage
Remove: (abs i)
Compiler: Compiled 888 to 160 computations (82% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze3.0ms (0%)

sample2.4s (39.5%)

explain225.0ms (3.8%)

preprocess156.0ms (2.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify0.0ms (0%)

series9.0ms (0.2%)

simplify182.0ms (3.1%)

rewrite51.0ms (0.8%)

eval66.0ms (1.1%)

prune9.0ms (0.1%)

simplify0.0ms (0%)

series10.0ms (0.2%)

simplify91.0ms (1.5%)

rewrite189.0ms (3.2%)

eval299.0ms (5%)

prune50.0ms (0.8%)

simplify0.0ms (0%)

series5.0ms (0.1%)

simplify99.0ms (1.7%)

rewrite64.0ms (1.1%)

eval52.0ms (0.9%)

prune8.0ms (0.1%)

simplify0.0ms (0%)

series5.0ms (0.1%)

simplify102.0ms (1.7%)

rewrite66.0ms (1.1%)

eval11.0ms (0.2%)

prune25.0ms (0.4%)

regimes7.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

regimes2.0ms (0%)

bsearch4.0ms (0.1%)

bsearch24.0ms (0.4%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify63.0ms (1.1%)

derivations1.7s (27.9%)

preprocess49.0ms (0.8%)

end0.0ms (0%)

Profiling