Metrics for Octave 3.8, jcobi/4, as called

start0.0ms (0%)

Memory: 0.2MiB live, 0.3MiB allocated

analyze77.0ms (1.4%)

Memory

-31.3MiB live, 40.3MiB allocated

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)

sample1.1s (21.2%)

Memory

56.4MiB live, 1 497.3MiB allocated

Samples

829.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 582.0ms

ival-mult: 252.0ms (43.3% of total)

ival-div: 214.0ms (36.8% of total)

ival-sub: 54.0ms (9.3% of total)

ival->: 44.0ms (7.6% of total)

exact: 14.0ms (2.4% of total)

ival-assert: 4.0ms (0.7% of total)

Bogosity

explain204.0ms (3.8%)

Memory

-30.5MiB live, 175.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
185	-	-	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`
67	-	-	`(/.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	-	-	`#s(literal 1 binary64)`
0	-	-	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`
0	-	-	`(*.f64 i i)`
0	-	-	`(.f64 (.f64 i i) (*.f64 i i))`
0	-	-	`(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))`
0	-	-	`i`
0	-	-	`#s(literal 2 binary64)`
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	67	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	96
↳	`(*.f64 i i)`	overflow	134
↳	`(*.f64 #s(literal 2 binary64) i)`	overflow	2
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	67
`/.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	67	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	96
↳	`(*.f64 #s(literal 2 binary64) i)`	overflow	2
↳	`(*.f64 i i)`	overflow	134
↳	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	overflow	67
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	67
↳	`(*.f64 #s(literal 2 binary64) i)`	overflow	2
↳	`(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))`	overflow	67
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	67
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	u/u	54	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	89
↳	`(*.f64 i i)`	underflow	108
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	underflow	54
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	u/n	35	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	89
↳	`(*.f64 i i)`	underflow	108
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	o/n	29	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	96
↳	`(*.f64 i i)`	overflow	134

Confusion

	Predicted +	Predicted -
+	185	0
-	0	71

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	185	0	0
-	0	0	71

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	71
1	118
2	67

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

55.0ms

512×

valid

Compiler

Compiled 173 to 34 computations (80.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 12.0ms (56.9% of total)

ival-div: 6.0ms (28.5% of total)

ival-sub: 2.0ms (9.5% of total)

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

exact: 0.0ms (0% of total)

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

preprocess168.0ms (3.1%)

Memory

26.2MiB live, 261.6MiB allocated

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
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	29.6%	(/.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

▶

29.6%

(/.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)

simplify164.0ms (3%)

Memory

-20.7MiB live, 206.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	1	(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
cost-diff	2	(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
cost-diff	4	(.f64 (.f64 i i) (*.f64 i i))
cost-diff	4	(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	72
0	17	62
1	56	56
2	382	42
3	3064	42
0	8431	40

Stop Event

1×	iter limit
1×	node limit
1×	iter 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)))
(/.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 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))
(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))
(.f64 #s(literal 1/4 binary64) (.f64 i i))
(.f64 (.f64 i i) (*.f64 i i))
(pow.f64 i #s(literal 4 binary64))
(*.f64 i i)
i
(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(.f64 #s(literal 4 binary64) (.f64 i 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))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
#s(literal 1 binary64)

localize27.0ms (0.5%)

Memory

24.4MiB live, 69.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 #s(literal 2 binary64) i)
accuracy	0.135097509768442	(.f64 (.f64 i i) (*.f64 i i))
accuracy	16.236030653363965	(/.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)))
accuracy	41.21714069472274	(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))

Samples

20.0ms

256×

valid

Compiler

Compiled 74 to 12 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 9.0ms (66% of total)

ival-div: 3.0ms (22% of total)

ival-sub: 1.0ms (7.3% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Memory

-29.3MiB live, 16.8MiB allocated

Counts

6 → 15

Calls

Call 1

Inputs
(/.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 (.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 (.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 #s(literal 2 binary64) i)

Outputs
(* 1/4 (pow i 2))
(pow i 4)
(* 4 (pow i 2))
-1
(- (* 4 (pow i 2)) 1)
(* -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))
(* 2 i)
(* (pow i 2) (- 4 (/ 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))))))

Calls

3 calls:

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

Time

Variable

Point

Expression

5.0ms

-inf

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

2.0ms

inf

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

2.0ms

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

simplify224.0ms (4.1%)

Memory

17.0MiB live, 166.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	126
1	95	126
2	209	126
3	495	126
4	1135	126
5	1599	126
6	1870	126
7	2048	126
8	2062	126
9	2062	126
10	2062	126
11	2488	126
12	3407	126
13	3413	126
14	3439	126
15	3803	126
16	4501	126
17	5100	126
18	5965	126
0	8014	124

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 15

Calls

Call 1

Inputs
(* 1/4 (pow i 2))
(pow i 4)
(* 4 (pow i 2))
-1
(- (* 4 (pow i 2)) 1)
(* -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))
(* 2 i)
(* (pow i 2) (- 4 (/ 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))))))

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

rewrite50.0ms (0.9%)

Memory

-2.1MiB live, 44.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	66
0	17	50
1	79	44
0	661	42

Stop Event

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

Counts

6 → 166

Calls

Call 1

Inputs
(/.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 (.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 (.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 #s(literal 2 binary64) i)

Outputs
(.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))))
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(+.f64 i i)

eval63.0ms (1.2%)

Memory: 12.3MiB live, 67.1MiB allocated
Compiler: Compiled 5 966 to 690 computations (88.4% saved)

prune11.0ms (0.2%)

Memory

-21.8MiB live, 22.3MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	225	8	233
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	226	8	234

Accuracy

100.0%

Counts

234 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.8%	(/.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)))
▶	74.5%	(.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))))
▶	73.7%	(.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))))
▶	52.7%	#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)))
▶	48.2%	#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) (.f64 i i)) #s(literal 1 binary64)) i) i) #s(literal 1/4 binary64)) (.f64 i i)))
	48.2%	#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)))
	48.2%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
▶	53.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 486 to 238 computations (51% saved)

simplify117.0ms (2.2%)

Memory

17.1MiB live, 160.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(.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))))
cost-diff	2	(/.f64 i i)
cost-diff	2	(.f64 (/.f64 i (.f64 i #s(literal 4 binary64))) (/.f64 i i))
cost-diff	4	(/.f64 i (*.f64 i #s(literal 4 binary64)))
cost-diff	0	(.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 1 binary64)) i) i)
cost-diff	0	(-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 1 binary64)) i) i) #s(literal 1/4 binary64))
cost-diff	0	(.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))
cost-diff	0	#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) (.f64 i i)) #s(literal 1 binary64)) i) i) #s(literal 1/4 binary64)) (.f64 i i)))
cost-diff	0	(*.f64 i i)
cost-diff	0	(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
cost-diff	0	(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
cost-diff	0	#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)))
cost-diff	0	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
cost-diff	0	(/.f64 i #s(literal 2 binary64))
cost-diff	2	(/.f64 i i)
cost-diff	2	(*.f64 (/.f64 i #s(literal 2 binary64)) (/.f64 i i))
cost-diff	2	(.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))))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	321
0	60	273
1	150	232
2	636	232
3	3609	232
0	8773	232

Stop Event

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

Calls

Call 1

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

Outputs
(.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 i (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i))
(*.f64 (/.f64 i #s(literal 2 binary64)) (/.f64 i i))
(*.f64 #s(literal 1/2 binary64) i)
(/.f64 i #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) i)
i
#s(literal 2 binary64)
(/.f64 i i)
#s(literal 1 binary64)
(/.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 i (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
#s(literal 4 binary64)
(*.f64 i i)
#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 1/64 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)
i
#s(literal 1/16 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) (.f64 i i)) #s(literal 1 binary64)) 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 (-.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 (-.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))
(.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 (.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 1 binary64)) i) i) #s(literal 1/4 binary64))
(-.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -4 binary64) i) i) #s(literal 1 binary64)) (.f64 i i)) #s(literal 1/4 binary64))
(.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 1 binary64)) i) i)
(.f64 (-.f64 (.f64 (.f64 #s(literal -4 binary64) i) i) #s(literal 1 binary64)) (.f64 i i))
(.f64 (-.f64 (.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 1 binary64)) i)
(.f64 (-.f64 (.f64 (*.f64 #s(literal -4 binary64) i) i) #s(literal 1 binary64)) i)
(-.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 1 binary64))
(-.f64 (.f64 (.f64 #s(literal -4 binary64) i) i) #s(literal 1 binary64))
(.f64 #s(literal -4 binary64) (.f64 i i))
(.f64 (.f64 #s(literal -4 binary64) i) i)
#s(literal -4 binary64)
(*.f64 i i)
i
#s(literal 1 binary64)
#s(literal 1/4 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 (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i))
(*.f64 i 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 #s(literal 1/4 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
(.f64 (/.f64 i (.f64 i #s(literal 4 binary64))) (/.f64 i i))
#s(literal 1/4 binary64)
(/.f64 i (*.f64 i #s(literal 4 binary64)))
#s(literal 1/4 binary64)
(*.f64 i #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) i)
#s(literal 4 binary64)
(/.f64 i i)
#s(literal 1 binary64)
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
#s(literal -1 binary64)

localize84.0ms (1.6%)

Memory

12.0MiB live, 101.3MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 i #s(literal 4 binary64))
accuracy	0.1957768040035187	(/.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)))
accuracy	0.24217096543311645	(/.f64 i (*.f64 i #s(literal 4 binary64)))
accuracy	16.321965413015015	(.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))))
accuracy	0.02734375	(.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))
accuracy	0.03515625	(.f64 (-.f64 (.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 1 binary64)) i)
accuracy	0.0390625	(.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 1 binary64)) i) i)
accuracy	33.15981759590991	#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) (.f64 i i)) #s(literal 1 binary64)) i) i) #s(literal 1/4 binary64)) (.f64 i i)))
accuracy	0.0	(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
accuracy	0.0	(*.f64 i i)
accuracy	0.2582768042355224	(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
accuracy	30.26751745358564	#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)))
accuracy	29.99636820585904	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
accuracy	0.0	(*.f64 (/.f64 i #s(literal 2 binary64)) (/.f64 i i))
accuracy	0.0	(*.f64 i i)
accuracy	0.09603500976844202	(.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))))
accuracy	15.545390347444835	(/.f64 (.f64 (/.f64 i #s(literal 2 binary64)) (/.f64 i i)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64)))

Samples

58.0ms

256×

valid

Compiler

Compiled 301 to 38 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 19.0ms (51% of total)

ival-div: 12.0ms (32.2% of total)

ival-sub: 3.0ms (8.1% of total)

ival-add: 2.0ms (5.4% of total)

exact: 1.0ms (2.7% of total)

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

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

series34.0ms (0.6%)

Memory

-28.9MiB live, 14.9MiB allocated

Counts

20 → 45

Calls

Call 1

Inputs
(.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 i #s(literal 2 binary64)) (/.f64 i i))
(/.f64 i i)
(/.f64 i #s(literal 2 binary64))
#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 1/64 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))
(*.f64 i i)
#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) (.f64 i i)) #s(literal 1 binary64)) i) i) #s(literal 1/4 binary64)) (.f64 i i)))
(.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))
(-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 1 binary64)) i) i) #s(literal 1/4 binary64))
(.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 1 binary64)) i) i)
(/.f64 i (*.f64 i #s(literal 4 binary64)))
(.f64 (/.f64 i (.f64 i #s(literal 4 binary64))) (/.f64 i i))
(.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 (/.f64 i #s(literal 2 binary64)) (/.f64 i i)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64)))
(.f64 (-.f64 (.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 1 binary64)) 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 i #s(literal 4 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))
(* 1/2 i)
1
(/ 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)
(- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)
(* -1 (pow i 2))
(* (pow i 2) (- (* -4 (pow i 2)) 1))
1/4
(* -1/2 i)
(* i (- (* -2 (pow i 2)) 1/2))
(* i (- (* (pow i 2) (- (* -8 (pow i 2)) 2)) 1/2))
(* i (- (* (pow i 2) (- (* (pow i 2) (- (* -32 (pow i 2)) 8)) 2)) 1/2))
(* -1 i)
(* i (- (* -4 (pow i 2)) 1))
(- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)
(* 4 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))))))
(* -4 (pow i 6))
(* -1 (* (pow i 6) (+ 4 (/ 1 (pow i 2)))))
(* (pow i 6) (- (* -1 (/ (+ 1 (* 1/4 (/ 1 (pow i 2)))) (pow i 2))) 4))
(* -4 (pow i 4))
(* -1 (* (pow i 4) (+ 4 (/ 1 (pow i 2)))))
(* (pow i 4) (- (* -1 (/ (+ 1 (* 1/4 (/ 1 (pow i 2)))) (pow i 2))) 4))
(/ 1/8 i)
(/ (+ 1/8 (* 1/32 (/ 1 (pow i 2)))) i)
(/ (+ 1/8 (+ (/ 1/128 (pow i 4)) (* 1/32 (/ 1 (pow i 2))))) i)
(/ (+ 1/8 (+ (/ 1/128 (pow i 4)) (+ (* 1/32 (/ 1 (pow i 2))) (* 1/512 (/ 1 (pow i 6)))))) i)
(* -4 (pow i 3))
(* -1 (* (pow i 3) (+ 4 (/ 1 (pow i 2)))))
(/ 1/16 (pow i 2))
(/ (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (pow i 2))
(/ (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) (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))
(* -1 (/ (- (* -1 (/ (+ 1/32 (* 1/128 (/ 1 (pow i 2)))) (pow i 2))) 1/8) i))
(* -1 (/ (- (* -1 (/ (+ 1/128 (* 1/512 (/ 1 (pow i 2)))) (pow i 4))) (+ 1/8 (* 1/32 (/ 1 (pow i 2))))) i))

Calls

3 calls:

Time	Variable		Point	Expression
27.0ms	i	@	-inf	((* (* (/ i 2) (/ i i)) (/ (* (/ i 2) (/ i i)) (+ (* 4 (* i i)) -1))) (* (/ i 2) (/ i i)) (/ i i) (/ i 2) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (/ 1/64 (* i i)) 1/16) (/ 1/64 (* i i)) (* i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (- (* (* (- (* -4 (* i i)) 1) i) i) 1/4) (* i i)) (- (* (* (- (* -4 (* i i)) 1) i) i) 1/4) (* (* (- (* -4 (* i i)) 1) i) i) (/ i (* i 4)) (* (/ i (* i 4)) (/ i i)) (* (* i i) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 4 (* i i)) -1))) (/ (* (/ i 2) (/ i i)) (+ (* 4 (* i i)) -1)) (* (- (* -4 (* i i)) 1) i) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 4 (* i i)) -1)) (* i 4))
3.0ms	i	@	0	((* (* (/ i 2) (/ i i)) (/ (* (/ i 2) (/ i i)) (+ (* 4 (* i i)) -1))) (* (/ i 2) (/ i i)) (/ i i) (/ i 2) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (/ 1/64 (* i i)) 1/16) (/ 1/64 (* i i)) (* i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (- (* (* (- (* -4 (* i i)) 1) i) i) 1/4) (* i i)) (- (* (* (- (* -4 (* i i)) 1) i) i) 1/4) (* (* (- (* -4 (* i i)) 1) i) i) (/ i (* i 4)) (* (/ i (* i 4)) (/ i i)) (* (* i i) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 4 (* i i)) -1))) (/ (* (/ i 2) (/ i i)) (+ (* 4 (* i i)) -1)) (* (- (* -4 (* i i)) 1) i) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 4 (* i i)) -1)) (* i 4))
3.0ms	i	@	inf	((* (* (/ i 2) (/ i i)) (/ (* (/ i 2) (/ i i)) (+ (* 4 (* i i)) -1))) (* (/ i 2) (/ i i)) (/ i i) (/ i 2) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (/ 1/64 (* i i)) 1/16) (/ 1/64 (* i i)) (* i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (- (* (* (- (* -4 (* i i)) 1) i) i) 1/4) (* i i)) (- (* (* (- (* -4 (* i i)) 1) i) i) 1/4) (* (* (- (* -4 (* i i)) 1) i) i) (/ i (* i 4)) (* (/ i (* i 4)) (/ i i)) (* (* i i) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 4 (* i i)) -1))) (/ (* (/ i 2) (/ i i)) (+ (* 4 (* i i)) -1)) (* (- (* -4 (* i i)) 1) i) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 4 (* i i)) -1)) (* i 4))

Time

Variable

Point

Expression

27.0ms

-inf

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

3.0ms

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

3.0ms

inf

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

simplify122.0ms (2.3%)

Memory

21.8MiB live, 164.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	128	467
1	322	467
2	923	453
3	2954	443
0	8766	443

Stop Event

1×	iter limit
1×	node limit

Counts

45 → 45

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))
(* 1/2 i)
1
(/ 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)
(- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)
(* -1 (pow i 2))
(* (pow i 2) (- (* -4 (pow i 2)) 1))
1/4
(* -1/2 i)
(* i (- (* -2 (pow i 2)) 1/2))
(* i (- (* (pow i 2) (- (* -8 (pow i 2)) 2)) 1/2))
(* i (- (* (pow i 2) (- (* (pow i 2) (- (* -32 (pow i 2)) 8)) 2)) 1/2))
(* -1 i)
(* i (- (* -4 (pow i 2)) 1))
(- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)
(* 4 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))))))
(* -4 (pow i 6))
(* -1 (* (pow i 6) (+ 4 (/ 1 (pow i 2)))))
(* (pow i 6) (- (* -1 (/ (+ 1 (* 1/4 (/ 1 (pow i 2)))) (pow i 2))) 4))
(* -4 (pow i 4))
(* -1 (* (pow i 4) (+ 4 (/ 1 (pow i 2)))))
(* (pow i 4) (- (* -1 (/ (+ 1 (* 1/4 (/ 1 (pow i 2)))) (pow i 2))) 4))
(/ 1/8 i)
(/ (+ 1/8 (* 1/32 (/ 1 (pow i 2)))) i)
(/ (+ 1/8 (+ (/ 1/128 (pow i 4)) (* 1/32 (/ 1 (pow i 2))))) i)
(/ (+ 1/8 (+ (/ 1/128 (pow i 4)) (+ (* 1/32 (/ 1 (pow i 2))) (* 1/512 (/ 1 (pow i 6)))))) i)
(* -4 (pow i 3))
(* -1 (* (pow i 3) (+ 4 (/ 1 (pow i 2)))))
(/ 1/16 (pow i 2))
(/ (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (pow i 2))
(/ (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) (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))
(* -1 (/ (- (* -1 (/ (+ 1/32 (* 1/128 (/ 1 (pow i 2)))) (pow i 2))) 1/8) i))
(* -1 (/ (- (* -1 (/ (+ 1/128 (* 1/512 (/ 1 (pow i 2)))) (pow i 4))) (+ 1/8 (* 1/32 (/ 1 (pow i 2))))) i))

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 (*.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 (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 4 binary64) i) (neg.f64 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))
(* 1/2 i)
(*.f64 #s(literal 1/2 binary64) i)
1
#s(literal 1 binary64)
(/ 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 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64))
(- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)
(-.f64 (*.f64 (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 4 binary64) i) (neg.f64 i)) #s(literal 1/4 binary64))
(* -1 (pow i 2))
(*.f64 (neg.f64 i) i)
(* (pow i 2) (- (* -4 (pow i 2)) 1))
(*.f64 (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 4 binary64) i) (neg.f64 i))
1/4
#s(literal 1/4 binary64)
(* -1/2 i)
(*.f64 #s(literal -1/2 binary64) i)
(* i (- (* -2 (pow i 2)) 1/2))
(.f64 (-.f64 (.f64 #s(literal -2 binary64) (*.f64 i i)) #s(literal 1/2 binary64)) i)
(* i (- (* (pow i 2) (- (* -8 (pow i 2)) 2)) 1/2))
(.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -8 binary64) (*.f64 i i)) #s(literal 2 binary64)) i) i) #s(literal 1/2 binary64)) i)
(* i (- (* (pow i 2) (- (* (pow i 2) (- (* -32 (pow i 2)) 8)) 2)) 1/2))
(.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -32 binary64) (.f64 i i)) #s(literal 8 binary64)) i) i) #s(literal 2 binary64)) (*.f64 i i)) #s(literal 1/2 binary64)) i)
(* -1 i)
(neg.f64 i)
(* i (- (* -4 (pow i 2)) 1))
(neg.f64 (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 4 binary64) i))
(- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)
(-.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))
(* 4 i)
(*.f64 #s(literal 4 binary64) 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 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (/.f64 #s(literal -1/64 binary64) (*.f64 i i))) (/.f64 #s(literal -1/1024 binary64) (pow.f64 i #s(literal 6 binary64)))) #s(literal -1/16 binary64))
(* -4 (pow i 6))
(*.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -4 binary64))
(* -1 (* (pow i 6) (+ 4 (/ 1 (pow i 2)))))
(.f64 (-.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (.f64 i i))) (pow.f64 i #s(literal 6 binary64)))
(* (pow i 6) (- (* -1 (/ (+ 1 (* 1/4 (/ 1 (pow i 2)))) (pow i 2))) 4))
(.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 i i)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 4 binary64))) (pow.f64 i #s(literal 6 binary64)))
(* -4 (pow i 4))
(*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -4 binary64))
(* -1 (* (pow i 4) (+ 4 (/ 1 (pow i 2)))))
(.f64 (-.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (.f64 i i))) (pow.f64 i #s(literal 4 binary64)))
(* (pow i 4) (- (* -1 (/ (+ 1 (* 1/4 (/ 1 (pow i 2)))) (pow i 2))) 4))
(.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 i i)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 4 binary64))) (pow.f64 i #s(literal 4 binary64)))
(/ 1/8 i)
(/.f64 #s(literal 1/8 binary64) i)
(/ (+ 1/8 (* 1/32 (/ 1 (pow i 2)))) i)
(/.f64 (+.f64 (/.f64 #s(literal 1/32 binary64) (*.f64 i i)) #s(literal 1/8 binary64)) i)
(/ (+ 1/8 (+ (/ 1/128 (pow i 4)) (* 1/32 (/ 1 (pow i 2))))) i)
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/128 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/8 binary64)) (/.f64 #s(literal -1/32 binary64) (*.f64 i i))) i)
(/ (+ 1/8 (+ (/ 1/128 (pow i 4)) (+ (* 1/32 (/ 1 (pow i 2))) (* 1/512 (/ 1 (pow i 6)))))) i)
(/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/128 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/8 binary64)) (/.f64 #s(literal -1/32 binary64) (*.f64 i i))) (/.f64 #s(literal -1/512 binary64) (pow.f64 i #s(literal 6 binary64)))) i)
(* -4 (pow i 3))
(*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal -4 binary64))
(* -1 (* (pow i 3) (+ 4 (/ 1 (pow i 2)))))
(neg.f64 (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 4 binary64) i))
(/ 1/16 (pow i 2))
(/.f64 #s(literal 1/16 binary64) (*.f64 i i))
(/ (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (pow i 2))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64)) i) i)
(/ (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) (pow i 2))
(/.f64 (-.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))) (.f64 i i))
(/ (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) (pow i 2))
(/.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (/.f64 #s(literal -1/64 binary64) (.f64 i i))) (/.f64 #s(literal -1/1024 binary64) (pow.f64 i #s(literal 6 binary64)))) #s(literal -1/16 binary64)) (.f64 i i))
(* -1 (/ (- (* -1 (/ (+ 1/32 (* 1/128 (/ 1 (pow i 2)))) (pow i 2))) 1/8) i))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1/32 binary64) (*.f64 i i)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1/128 binary64) (pow.f64 i #s(literal 4 binary64)))) (neg.f64 i))
(* -1 (/ (- (* -1 (/ (+ 1/128 (* 1/512 (/ 1 (pow i 2)))) (pow i 4))) (+ 1/8 (* 1/32 (/ 1 (pow i 2))))) i))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/128 binary64) (/.f64 (/.f64 #s(literal 1/512 binary64) i) i)) (pow.f64 i #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/32 binary64) (*.f64 i i)) #s(literal 1/8 binary64))) (neg.f64 i))

rewrite125.0ms (2.3%)

Memory

-8.3MiB live, 119.5MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	270
0	60	188
1	241	183
0	1568	183

Stop Event

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

Counts

20 → 254

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 #s(literal 1/4 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 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (-.f64 (.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 #s(literal 1/4 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 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64))))
(.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (neg.f64 i)) (neg.f64 i))
(.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (fabs.f64 i)) (fabs.f64 i))
(.f64 (/.f64 (.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 i #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 (.f64 i #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))))
(.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) (.f64 (.f64 i i) #s(literal 4 binary64))) (/.f64 i (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))
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eval40.0ms (0.7%)

Memory: -18.0MiB live, 75.9MiB allocated
Compiler: Compiled 9 921 to 1 085 computations (89.1% saved)

prune10.0ms (0.2%)

Memory

-21.5MiB live, 25.2MiB allocated

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	323	3	326
Fresh	1	2	3
Picked	3	2	5
Done	0	0	0
Total	327	7	334

Accuracy

100.0%

Counts

334 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.5%	(.f64 (/.f64 (/.f64 i #s(literal -2 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))) (*.f64 i #s(literal 1/2 binary64)))
▶	73.7%	(.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (*.f64 i i))
✓	52.7%	#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)))
▶	48.2%	#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)))
▶	48.2%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
✓	53.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
▶	48.2%	#s(approx (* (* (/ i 2) (/ i i)) (/ (* (/ i 2) (/ i i)) (+ (* 4 (* i i)) -1))) (.f64 (.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) i) i))

Compiler

Compiled 314 to 166 computations (47.1% saved)

simplify105.0ms (1.9%)

Memory

15.7MiB live, 112.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 i i)
cost-diff	0	(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
cost-diff	0	(/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
cost-diff	0	(.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (*.f64 i i))
cost-diff	0	(*.f64 (neg.f64 i) i)
cost-diff	0	(-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64))
cost-diff	0	(.f64 (-.f64 (.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i))
cost-diff	0	#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)))
cost-diff	0	(-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64))
cost-diff	0	(.f64 (-.f64 (.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) i)
cost-diff	0	(.f64 (.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) i) i)
cost-diff	0	#s(approx (* (* (/ i 2) (/ i i)) (/ (* (/ i 2) (/ i i)) (+ (* 4 (* i i)) -1))) (.f64 (.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) i) i))
cost-diff	0	(*.f64 #s(literal -1/4 binary64) i)
cost-diff	0	(.f64 (.f64 #s(literal -1/4 binary64) i) i)
cost-diff	0	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
cost-diff	0	(fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))
cost-diff	0	(/.f64 i #s(literal -2 binary64))
cost-diff	0	(.f64 (/.f64 (/.f64 i #s(literal -2 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))) (*.f64 i #s(literal 1/2 binary64)))
cost-diff	2	(/.f64 (/.f64 i #s(literal -2 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	247
0	64	231
1	151	216
2	713	207
3	4840	207
0	9024	206

Stop Event

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

Calls

Call 1

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

Outputs
(.f64 (/.f64 (/.f64 i #s(literal -2 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))) (*.f64 i #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal -1/4 binary64) i) (/.f64 i (fma.f64 (*.f64 i i) #s(literal -4 binary64) #s(literal 1 binary64))))
(/.f64 (/.f64 i #s(literal -2 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))
(/.f64 i (fma.f64 #s(literal 8 binary64) (*.f64 i i) #s(literal -2 binary64)))
(/.f64 i #s(literal -2 binary64))
(*.f64 #s(literal -1/2 binary64) i)
i
#s(literal -2 binary64)
(fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))
(fma.f64 (*.f64 i i) #s(literal -4 binary64) #s(literal 1 binary64))
#s(literal -4 binary64)
(*.f64 i i)
#s(literal 1 binary64)
(*.f64 i #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) 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 2) (/ i i)) (/ (* (/ i 2) (/ i i)) (+ (* 4 (* i i)) -1))) (.f64 #s(literal -1/4 binary64) (.f64 i i)))
(.f64 (.f64 #s(literal -1/4 binary64) i) i)
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(*.f64 #s(literal -1/4 binary64) i)
#s(literal -1/4 binary64)
i
#s(approx (* (* (/ i 2) (/ i i)) (/ (* (/ i 2) (/ i i)) (+ (* 4 (* i i)) -1))) (.f64 (.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) i) i))
(.f64 (.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) i) i)
(.f64 (-.f64 (.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) i)
(-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64))
(*.f64 (neg.f64 i) i)
(neg.f64 i)
i
#s(literal 1/4 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 2) (/ i i)) (/ (* (/ i 2) (/ i i)) (+ (* 4 (* i i)) -1))) (.f64 (.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) i) i))
(.f64 (-.f64 (.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i))
(.f64 (.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) i) i)
(-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64))
(*.f64 (neg.f64 i) i)
(neg.f64 i)
i
#s(literal 1/4 binary64)
(*.f64 i i)
(.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (*.f64 i i))
(.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))) (*.f64 i i))
(/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
(/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))
#s(literal 1/4 binary64)
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(*.f64 i i)
i
#s(literal 4 binary64)
#s(literal -1 binary64)

localize150.0ms (2.8%)

Memory

31.9MiB live, 119.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
accuracy	0.0	(*.f64 i i)
accuracy	0.1957768040035187	(/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
accuracy	16.321965413015015	(.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (*.f64 i i))
accuracy	0.0	(*.f64 i i)
accuracy	0.0	(neg.f64 i)
accuracy	0.06640625	(.f64 (-.f64 (.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i))
accuracy	33.16432408324436	#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)))
accuracy	0.0	(neg.f64 i)
accuracy	0.03515625	(.f64 (-.f64 (.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) i)
accuracy	0.0390625	(.f64 (.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) i) i)
accuracy	33.16432408324436	#s(approx (* (* (/ i 2) (/ i i)) (/ (* (/ i 2) (/ i i)) (+ (* 4 (* i i)) -1))) (.f64 (.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) i) i))
accuracy	0.0	(.f64 (.f64 #s(literal -1/4 binary64) i) i)
accuracy	0.0	(*.f64 #s(literal -1/4 binary64) i)
accuracy	33.180885647481865	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
accuracy	0.0	(*.f64 i i)
accuracy	0.0	(*.f64 i #s(literal 1/2 binary64))
accuracy	0.09603500976844202	(.f64 (/.f64 (/.f64 i #s(literal -2 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))) (*.f64 i #s(literal 1/2 binary64)))
accuracy	15.545390347444835	(/.f64 (/.f64 i #s(literal -2 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))

Samples

88.0ms

256×

valid

Compiler

Compiled 227 to 44 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-sub: 30.0ms (41.9% of total)

ival-mult: 24.0ms (33.5% of total)

ival-div: 12.0ms (16.7% of total)

ival-add: 3.0ms (4.2% of total)

exact: 1.0ms (1.4% of total)

ival-neg: 1.0ms (1.4% of total)

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

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

series96.0ms (1.8%)

Memory

-24.4MiB live, 28.2MiB allocated

Counts

20 → 45

Calls

Call 1

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

Outputs
(* -1/2 i)
(* i (- (* -2 (pow i 2)) 1/2))
(* i (- (* (pow i 2) (- (* -8 (pow i 2)) 2)) 1/2))
(* i (- (* (pow i 2) (- (* (pow i 2) (- (* -32 (pow i 2)) 8)) 2)) 1/2))
(* -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
(+ 1 (* -4 (pow i 2)))
(* -1/4 i)
(* i (- (* -1 (pow i 2)) 1/4))
-1/4
(- (* -1 (pow i 2)) 1/4)
(* -1 (pow i 2))
(- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)
(- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)
-1
(- (* 4 (pow i 2)) 1)
(pow i 2)
(* 1/2 i)
(* -1 i)
(/ 1/8 i)
(/ (+ 1/8 (* 1/32 (/ 1 (pow i 2)))) i)
(/ (+ 1/8 (+ (/ 1/128 (pow i 4)) (* 1/32 (/ 1 (pow i 2))))) i)
(/ (+ 1/8 (+ (/ 1/128 (pow i 4)) (+ (* 1/32 (/ 1 (pow i 2))) (* 1/512 (/ 1 (pow i 6)))))) 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))))))
(* -4 (pow i 2))
(* (pow i 2) (- (/ 1 (pow i 2)) 4))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (pow i 3))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(/ 1/16 (pow i 2))
(/ (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (pow i 2))
(/ (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) (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 (pow i 2))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* -1 (/ (- (* -1 (/ (+ 1/32 (* 1/128 (/ 1 (pow i 2)))) (pow i 2))) 1/8) i))
(* -1 (/ (- (* -1 (/ (+ 1/128 (* 1/512 (/ 1 (pow i 2)))) (pow i 4))) (+ 1/8 (* 1/32 (/ 1 (pow i 2))))) i))

Calls

3 calls:

Time

Variable

Point

Expression

91.0ms

inf

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

2.0ms

-inf

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

2.0ms

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

simplify186.0ms (3.4%)

Memory

4.5MiB live, 135.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	124	431
1	305	431
2	882	423
3	3268	423
0	8869	422

Stop Event

1×	iter limit
1×	node limit

Counts

45 → 45

Calls

Call 1

Inputs
(* -1/2 i)
(* i (- (* -2 (pow i 2)) 1/2))
(* i (- (* (pow i 2) (- (* -8 (pow i 2)) 2)) 1/2))
(* i (- (* (pow i 2) (- (* (pow i 2) (- (* -32 (pow i 2)) 8)) 2)) 1/2))
(* -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
(+ 1 (* -4 (pow i 2)))
(* -1/4 i)
(* i (- (* -1 (pow i 2)) 1/4))
-1/4
(- (* -1 (pow i 2)) 1/4)
(* -1 (pow i 2))
(- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)
(- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)
-1
(- (* 4 (pow i 2)) 1)
(pow i 2)
(* 1/2 i)
(* -1 i)
(/ 1/8 i)
(/ (+ 1/8 (* 1/32 (/ 1 (pow i 2)))) i)
(/ (+ 1/8 (+ (/ 1/128 (pow i 4)) (* 1/32 (/ 1 (pow i 2))))) i)
(/ (+ 1/8 (+ (/ 1/128 (pow i 4)) (+ (* 1/32 (/ 1 (pow i 2))) (* 1/512 (/ 1 (pow i 6)))))) 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))))))
(* -4 (pow i 2))
(* (pow i 2) (- (/ 1 (pow i 2)) 4))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (pow i 3))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(/ 1/16 (pow i 2))
(/ (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (pow i 2))
(/ (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) (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 (pow i 2))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* -1 (/ (- (* -1 (/ (+ 1/32 (* 1/128 (/ 1 (pow i 2)))) (pow i 2))) 1/8) i))
(* -1 (/ (- (* -1 (/ (+ 1/128 (* 1/512 (/ 1 (pow i 2)))) (pow i 4))) (+ 1/8 (* 1/32 (/ 1 (pow i 2))))) i))

Outputs
(* -1/2 i)
(*.f64 #s(literal -1/2 binary64) i)
(* i (- (* -2 (pow i 2)) 1/2))
(.f64 (-.f64 (.f64 (*.f64 i i) #s(literal -2 binary64)) #s(literal 1/2 binary64)) i)
(* i (- (* (pow i 2) (- (* -8 (pow i 2)) 2)) 1/2))
(.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -8 binary64) (*.f64 i i)) #s(literal 2 binary64)) i) i) #s(literal 1/2 binary64)) i)
(* i (- (* (pow i 2) (- (* (pow i 2) (- (* -32 (pow i 2)) 8)) 2)) 1/2))
(.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -32 binary64) (.f64 i i)) #s(literal 8 binary64)) i) i) #s(literal 2 binary64)) (*.f64 i i)) #s(literal 1/2 binary64)) i)
(* -1/4 (pow i 2))
(.f64 (.f64 #s(literal -1/4 binary64) i) i)
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 (fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64))) (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
#s(literal 1 binary64)
(+ 1 (* -4 (pow i 2)))
(fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* i (- (* -1 (pow i 2)) 1/4))
(.f64 (-.f64 #s(literal -1/4 binary64) (.f64 i 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)
(- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)
(-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 1 binary64)) i) i) #s(literal 1/4 binary64))
(- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)
(-.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))
-1
#s(literal -1 binary64)
(- (* 4 (pow i 2)) 1)
(-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64))
(pow i 2)
(*.f64 i i)
(* 1/2 i)
(*.f64 #s(literal 1/2 binary64) i)
(* -1 i)
(neg.f64 i)
(/ 1/8 i)
(/.f64 #s(literal 1/8 binary64) i)
(/ (+ 1/8 (* 1/32 (/ 1 (pow i 2)))) i)
(/.f64 (+.f64 (/.f64 #s(literal 1/32 binary64) (*.f64 i i)) #s(literal 1/8 binary64)) i)
(/ (+ 1/8 (+ (/ 1/128 (pow i 4)) (* 1/32 (/ 1 (pow i 2))))) i)
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/128 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/8 binary64)) (/.f64 #s(literal -1/32 binary64) (*.f64 i i))) i)
(/ (+ 1/8 (+ (/ 1/128 (pow i 4)) (+ (* 1/32 (/ 1 (pow i 2))) (* 1/512 (/ 1 (pow i 6)))))) i)
(/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/128 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/8 binary64)) (/.f64 #s(literal -1/32 binary64) (*.f64 i i))) (/.f64 #s(literal -1/512 binary64) (pow.f64 i #s(literal 6 binary64)))) 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 #s(literal 1/16 binary64) (/.f64 #s(literal -1/1024 binary64) (pow.f64 i #s(literal 6 binary64)))) (-.f64 (/.f64 #s(literal -1/64 binary64) (*.f64 i i)) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64)))))
(* -4 (pow i 2))
(.f64 #s(literal -4 binary64) (.f64 i i))
(* (pow i 2) (- (/ 1 (pow i 2)) 4))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) #s(literal 4 binary64)) 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 3))
(pow.f64 (neg.f64 i) #s(literal 3 binary64))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(.f64 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) i)
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(/ 1/16 (pow i 2))
(/.f64 #s(literal 1/16 binary64) (*.f64 i i))
(/ (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (pow i 2))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) i) i)
(/ (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) (pow i 2))
(/.f64 (-.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))) (.f64 i i))
(/ (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) (pow i 2))
(/.f64 (-.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/1024 binary64) (pow.f64 i #s(literal 6 binary64)))) (-.f64 (/.f64 #s(literal -1/64 binary64) (.f64 i i)) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))))) (.f64 i i))
(* 4 (pow i 2))
(.f64 (.f64 i 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 (/ (- (* -1 (/ (+ 1/32 (* 1/128 (/ 1 (pow i 2)))) (pow i 2))) 1/8) i))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1/32 binary64) (*.f64 i i)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1/128 binary64) (pow.f64 i #s(literal 4 binary64)))) (neg.f64 i))
(* -1 (/ (- (* -1 (/ (+ 1/128 (* 1/512 (/ 1 (pow i 2)))) (pow i 4))) (+ 1/8 (* 1/32 (/ 1 (pow i 2))))) i))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/128 binary64) (/.f64 (/.f64 #s(literal 1/512 binary64) i) i)) (pow.f64 i #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/32 binary64) (*.f64 i i)) #s(literal 1/8 binary64))) (neg.f64 i))

rewrite113.0ms (2.1%)

Memory

-4.5MiB live, 102.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	214
0	64	196
1	243	175
0	1637	175

Stop Event

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

Counts

20 → 304

Calls

Call 1

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

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

eval88.0ms (1.6%)

Memory: -2.4MiB live, 85.6MiB allocated
Compiler: Compiled 9 047 to 1 273 computations (85.9% saved)

prune9.0ms (0.2%)

Memory

29.2MiB live, 29.2MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	398	3	401
Fresh	0	0	0
Picked	3	2	5
Done	0	2	2
Total	401	7	408

Accuracy

100.0%

Counts

408 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.5%	(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) i) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))) (.f64 i #s(literal 1/2 binary64)))
✓	73.7%	(.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (*.f64 i i))
✓	52.7%	#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)))
✓	48.2%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
▶	48.2%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(approx (- ( (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (.f64 i i))) (.f64 i i)))
✓	53.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
▶	48.2%	#s(approx (* (* (/ i 2) (/ i i)) (/ (* (/ i 2) (/ i i)) (+ (* 4 (* i i)) -1))) (.f64 (.f64 #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) i) i))

Compiler

Compiled 199 to 103 computations (48.2% saved)

simplify110.0ms (2%)

Memory

-34.7MiB live, 71.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) i)
cost-diff	0	(/.f64 (.f64 #s(literal 1/2 binary64) i) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64)))
cost-diff	2	(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) i) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))) (.f64 i #s(literal 1/2 binary64)))
cost-diff	0	(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
cost-diff	0	#s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
cost-diff	0	(.f64 #s(approx (- ( (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (.f64 i i))) (.f64 i i))
cost-diff	0	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(approx (- ( (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (.f64 i i))) (.f64 i i)))
cost-diff	0	#s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
cost-diff	0	(.f64 #s(approx (- ( (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) i)
cost-diff	0	(.f64 (.f64 #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) i) i)
cost-diff	0	#s(approx (* (* (/ i 2) (/ i i)) (/ (* (/ i 2) (/ i i)) (+ (* 4 (* i i)) -1))) (.f64 (.f64 #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) i) i))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	214
0	50	203
1	123	189
2	626	189
3	4388	189
0	8362	189

Stop Event

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

Calls

Call 1

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

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

localize102.0ms (1.9%)

Memory

28.7MiB live, 113.8MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 i #s(literal 1/2 binary64))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) i)
accuracy	0.09603500976844202	(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) i) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))) (.f64 i #s(literal 1/2 binary64)))
accuracy	15.545390347444835	(/.f64 (.f64 #s(literal 1/2 binary64) i) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64)))
accuracy	0.0	(*.f64 i i)
accuracy	0.0	#s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
accuracy	0.06640625	(.f64 #s(approx (- ( (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (.f64 i i))) (.f64 i i))
accuracy	33.16432408324436	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(approx (- ( (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (.f64 i i))) (.f64 i i)))
accuracy	0.0	#s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
accuracy	0.03515625	(.f64 #s(approx (- ( (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) i)
accuracy	0.0390625	(.f64 (.f64 #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) i) i)
accuracy	33.16432408324436	#s(approx (* (* (/ i 2) (/ i i)) (/ (* (/ i 2) (/ i i)) (+ (* 4 (* i i)) -1))) (.f64 (.f64 #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) i) i))

Samples

62.0ms

256×

valid

Compiler

Compiled 156 to 35 computations (77.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 19.0ms (55.8% of total)

ival-div: 9.0ms (26.4% of total)

ival-sub: 3.0ms (8.8% of total)

ival-add: 1.0ms (2.9% of total)

exact: 1.0ms (2.9% of total)

ival-neg: 1.0ms (2.9% of total)

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

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

series4.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

13 → 34

Calls

Call 1

Inputs
#s(approx (* (* (/ i 2) (/ i i)) (/ (* (/ i 2) (/ i i)) (+ (* 4 (* i i)) -1))) (.f64 (.f64 #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) i) i))
(.f64 (.f64 #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) i) i)
(.f64 #s(approx (- ( (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) i)
#s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(approx (- ( (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (.f64 i i))) (.f64 i i)))
(.f64 #s(approx (- ( (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (.f64 i i))) (.f64 i i))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) i) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))) (.f64 i #s(literal 1/2 binary64)))
(/.f64 (.f64 #s(literal 1/2 binary64) i) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) i)
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(*.f64 i i)
(*.f64 i #s(literal 1/2 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 (pow i 2)) 1/4))
-1/4
(- (* -1 (pow i 2)) 1/4)
(* -1/2 i)
(* i (- (* -2 (pow i 2)) 1/2))
(* i (- (* (pow i 2) (- (* -8 (pow i 2)) 2)) 1/2))
(* i (- (* (pow i 2) (- (* (pow i 2) (- (* -32 (pow i 2)) 8)) 2)) 1/2))
(* 1/2 i)
-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))))))
(* -1 (pow i 3))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (pow i 2))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(/ 1/8 i)
(/ (+ 1/8 (* 1/32 (/ 1 (pow i 2)))) i)
(/ (+ 1/8 (+ (/ 1/128 (pow i 4)) (* 1/32 (/ 1 (pow i 2))))) i)
(/ (+ 1/8 (+ (/ 1/128 (pow i 4)) (+ (* 1/32 (/ 1 (pow i 2))) (* 1/512 (/ 1 (pow i 6)))))) i)
(* 4 (pow i 2))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* -1 (/ (- (* -1 (/ (+ 1/32 (* 1/128 (/ 1 (pow i 2)))) (pow i 2))) 1/8) i))
(* -1 (/ (- (* -1 (/ (+ 1/128 (* 1/512 (/ 1 (pow i 2)))) (pow i 4))) (+ 1/8 (* 1/32 (/ 1 (pow i 2))))) i))

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

-inf

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

1.0ms

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

simplify192.0ms (3.5%)

Memory

-35.9MiB live, 157.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	116	315
1	285	315
2	824	307
3	2891	307
0	8546	307

Stop Event

1×	iter limit
1×	node limit

Counts

34 → 34

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 (pow i 2)) 1/4))
-1/4
(- (* -1 (pow i 2)) 1/4)
(* -1/2 i)
(* i (- (* -2 (pow i 2)) 1/2))
(* i (- (* (pow i 2) (- (* -8 (pow i 2)) 2)) 1/2))
(* i (- (* (pow i 2) (- (* (pow i 2) (- (* -32 (pow i 2)) 8)) 2)) 1/2))
(* 1/2 i)
-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))))))
(* -1 (pow i 3))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (pow i 2))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(/ 1/8 i)
(/ (+ 1/8 (* 1/32 (/ 1 (pow i 2)))) i)
(/ (+ 1/8 (+ (/ 1/128 (pow i 4)) (* 1/32 (/ 1 (pow i 2))))) i)
(/ (+ 1/8 (+ (/ 1/128 (pow i 4)) (+ (* 1/32 (/ 1 (pow i 2))) (* 1/512 (/ 1 (pow i 6)))))) i)
(* 4 (pow i 2))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* -1 (/ (- (* -1 (/ (+ 1/32 (* 1/128 (/ 1 (pow i 2)))) (pow i 2))) 1/8) i))
(* -1 (/ (- (* -1 (/ (+ 1/128 (* 1/512 (/ 1 (pow i 2)))) (pow i 4))) (+ 1/8 (* 1/32 (/ 1 (pow i 2))))) i))

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 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) 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 (pow i 2)) 1/4))
(.f64 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) i)
-1/4
#s(literal -1/4 binary64)
(- (* -1 (pow i 2)) 1/4)
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1/2 i)
(*.f64 #s(literal -1/2 binary64) i)
(* i (- (* -2 (pow i 2)) 1/2))
(.f64 (-.f64 (.f64 #s(literal -2 binary64) (*.f64 i i)) #s(literal 1/2 binary64)) i)
(* i (- (* (pow i 2) (- (* -8 (pow i 2)) 2)) 1/2))
(.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -8 binary64) (*.f64 i i)) #s(literal 2 binary64)) i) i) #s(literal 1/2 binary64)) i)
(* i (- (* (pow i 2) (- (* (pow i 2) (- (* -32 (pow i 2)) 8)) 2)) 1/2))
(.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -32 binary64) (.f64 i i)) #s(literal 8 binary64)) i) i) #s(literal 2 binary64)) (*.f64 i i)) #s(literal 1/2 binary64)) i)
(* 1/2 i)
(*.f64 #s(literal 1/2 binary64) i)
-1
#s(literal -1 binary64)
(- (* 4 (pow i 2)) 1)
(-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #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 (/.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))) (/.f64 #s(literal -1/1024 binary64) (pow.f64 i #s(literal 6 binary64))))
(* -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 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)
(* -1 (pow i 3))
(pow.f64 (neg.f64 i) #s(literal 3 binary64))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(.f64 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) i)
(* -1 (pow i 2))
(*.f64 (neg.f64 i) i)
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(/ 1/8 i)
(/.f64 #s(literal 1/8 binary64) i)
(/ (+ 1/8 (* 1/32 (/ 1 (pow i 2)))) i)
(/.f64 (+.f64 (/.f64 #s(literal 1/32 binary64) (*.f64 i i)) #s(literal 1/8 binary64)) i)
(/ (+ 1/8 (+ (/ 1/128 (pow i 4)) (* 1/32 (/ 1 (pow i 2))))) i)
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/128 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/8 binary64)) (/.f64 #s(literal -1/32 binary64) (*.f64 i i))) i)
(/ (+ 1/8 (+ (/ 1/128 (pow i 4)) (+ (* 1/32 (/ 1 (pow i 2))) (* 1/512 (/ 1 (pow i 6)))))) i)
(/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/128 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/8 binary64)) (/.f64 #s(literal -1/32 binary64) (*.f64 i i))) (/.f64 #s(literal -1/512 binary64) (pow.f64 i #s(literal 6 binary64)))) i)
(* 4 (pow i 2))
(.f64 (.f64 i 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 (/ (- (* -1 (/ (+ 1/32 (* 1/128 (/ 1 (pow i 2)))) (pow i 2))) 1/8) i))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1/32 binary64) (*.f64 i i)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1/128 binary64) (pow.f64 i #s(literal 4 binary64)))) (neg.f64 i))
(* -1 (/ (- (* -1 (/ (+ 1/128 (* 1/512 (/ 1 (pow i 2)))) (pow i 4))) (+ 1/8 (* 1/32 (/ 1 (pow i 2))))) i))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/128 binary64) (/.f64 (/.f64 #s(literal 1/512 binary64) i) i)) (pow.f64 i #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/32 binary64) (*.f64 i i)) #s(literal 1/8 binary64))) (neg.f64 i))

rewrite112.0ms (2.1%)

Memory

6.4MiB live, 61.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	183
0	50	172
1	199	158
0	1397	158

Stop Event

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

Counts

13 → 213

Calls

Call 1

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

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

eval43.0ms (0.8%)

Memory: 19.9MiB live, 62.7MiB allocated
Compiler: Compiled 8 023 to 985 computations (87.7% saved)

prune13.0ms (0.2%)

Memory

-13.7MiB live, 30.8MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	283	0	283
Fresh	0	0	0
Picked	0	3	3
Done	0	4	4
Total	283	7	290

Accuracy

100.0%

Counts

290 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.5%	(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) i) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))) (.f64 i #s(literal 1/2 binary64)))
✓	73.7%	(.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (*.f64 i i))
✓	52.7%	#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)))
✓	48.2%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
✓	48.2%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(approx (- ( (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (.f64 i i))) (.f64 i i)))
✓	53.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
✓	48.2%	#s(approx (* (* (/ i 2) (/ i i)) (/ (* (/ i 2) (/ i i)) (+ (* 4 (* i i)) -1))) (.f64 (.f64 #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) i) i))

Compiler

Compiled 623 to 199 computations (68.1% saved)

regimes9.0ms (0.2%)

Memory

23.6MiB live, 23.6MiB allocated

Counts

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

Outputs

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

2 calls:

4.0ms

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
79.6%	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 (0.1%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

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

Outputs

#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 i 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
99.7%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0.1%)

Memory

-40.6MiB live, 5.6MiB allocated

Counts

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

Outputs

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

3.0ms

Results

Accuracy	Segments	Branch
99.6%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory

5.4MiB live, 5.4MiB allocated

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

Outputs

#s(approx (* (* (/ i 2) (/ i i)) (/ (* (/ i 2) (/ i i)) (+ (* 4 (* i i)) -1))) (*.f64 (*.f64 #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) 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
99.6%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated

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
99.5%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory

6.4MiB live, 6.4MiB allocated

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
53.1%	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)))`
53.1%	1	`i`

Compiler

Compiled 26 to 11 computations (57.7% saved)

bsearch4.0ms (0.1%)

Memory

8.1MiB live, 8.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
3.0ms	0.0995569946583483	737808.5685902494

Samples

2.0ms

32×

valid

Compiler

Compiled 118 to 66 computations (44.1% saved)

Precisions

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

ival-mult: 1.0ms (80.4% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch22.0ms (0.4%)

Memory

-34.6MiB live, 21.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.0995569946583483	737808.5685902494

Samples

7.0ms

128×

valid

Compiler

Compiled 703 to 356 computations (49.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 3.0ms (60% of total)

ival-sub: 1.0ms (20% of total)

ival-div: 1.0ms (20% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0995569946583483	737808.5685902494

Compiler

Compiled 649 to 320 computations (50.7% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0995569946583483	737808.5685902494

Compiler

Compiled 631 to 347 computations (45% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0995569946583483	737808.5685902494

Compiler

Compiled 550 to 266 computations (51.6% saved)

simplify51.0ms (0.9%)

Memory

13.7MiB live, 59.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	357
1	116	281
2	540	281
3	4088	281

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 i #s(literal 500 binary64)) (.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (.f64 i 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 #s(approx (- ( (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (.f64 i i))) (.f64 i 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 #s(approx (- ( (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (.f64 i i))) (.f64 i 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 2) (/ i i)) (/ (* (/ i 2) (/ i i)) (+ (* 4 (* i i)) -1))) (.f64 (.f64 #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (.f64 i i))) i) 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 500 binary64)) (.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (.f64 i 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 #s(approx (- ( (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (.f64 i i))) (.f64 i 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 #s(approx (- ( (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (.f64 i i))) (.f64 i 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 2) (/ i i)) (/ (* (/ i 2) (/ i i)) (+ (* 4 (* i i)) -1))) (.f64 (.f64 #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (.f64 i i))) i) 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))

soundness1.2s (22.7%)

Memory

33.4MiB live, 680.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	124	431
1	305	431
2	882	423
3	3268	423
0	8869	422
0	50	126
1	95	126
2	209	126
3	495	126
4	1135	126
5	1599	126
6	1870	126
7	2048	126
8	2062	126
9	2062	126
10	2062	126
11	2488	126
12	3407	126
13	3413	126
14	3439	126
15	3803	126
16	4501	126
17	5100	126
18	5965	126
0	8014	124
0	10	66
0	17	50
1	79	44
0	661	42
0	39	270
0	60	188
1	241	183
0	1568	183
0	128	467
1	322	467
2	923	453
3	2954	443
0	8766	443

Stop Event

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

Compiler

Compiled 486 to 135 computations (72.2% saved)

preprocess81.0ms (1.5%)

Memory: -19.3MiB live, 136.6MiB allocated
Remove: (abs i)
Compiler: Compiled 870 to 182 computations (79.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze77.0ms (1.4%)

sample1.1s (21.2%)

explain204.0ms (3.8%)

preprocess168.0ms (3.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify164.0ms (3%)

localize27.0ms (0.5%)

series9.0ms (0.2%)

simplify224.0ms (4.1%)

rewrite50.0ms (0.9%)

eval63.0ms (1.2%)

prune11.0ms (0.2%)

simplify117.0ms (2.2%)

localize84.0ms (1.6%)

series34.0ms (0.6%)

simplify122.0ms (2.3%)

rewrite125.0ms (2.3%)

eval40.0ms (0.7%)

prune10.0ms (0.2%)

simplify105.0ms (1.9%)

localize150.0ms (2.8%)

series96.0ms (1.8%)

simplify186.0ms (3.4%)

rewrite113.0ms (2.1%)

eval88.0ms (1.6%)

prune9.0ms (0.2%)

simplify110.0ms (2%)

localize102.0ms (1.9%)

series4.0ms (0.1%)

simplify192.0ms (3.5%)

rewrite112.0ms (2.1%)

eval43.0ms (0.8%)

prune13.0ms (0.2%)

regimes9.0ms (0.2%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

bsearch4.0ms (0.1%)

bsearch22.0ms (0.4%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify51.0ms (0.9%)

soundness1.2s (22.7%)

preprocess81.0ms (1.5%)

end0.0ms (0%)

Profiling