Metrics for Octave 3.8, jcobi/4, as called

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze3.0ms (0%)

Memory

2.5MiB live, 2.5MiB 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)

sample1.7s (24.2%)

Memory

4.4MiB live, 1 036.2MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 892.0ms

ival-mult: 462.0ms (51.8% of total)

ival-div: 291.0ms (32.6% of total)

ival-sub: 89.0ms (10% of total)

ival->: 34.0ms (3.8% of total)

exact: 13.0ms (1.5% of total)

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

Bogosity

explain141.0ms (2.1%)

Memory

-1.2MiB live, 315.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
194	-	1	(3.9771294859390337e-78)	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`
69	-	0	-	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`
0	-	0	-	`(*.f64 i i)`
0	-	0	-	`(.f64 (.f64 i i) (*.f64 i i))`
0	-	0	-	`(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))`
0	-	0	-	`i`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(*.f64 #s(literal 2 binary64) i)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	o/o	69	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	105
↳	`(*.f64 i i)`	overflow	138
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	69
`/.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	69	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	105
↳	`(*.f64 i i)`	overflow	138
↳	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	overflow	69
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	69
↳	`(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))`	overflow	69
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	69
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	u/u	55	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	88
↳	`(*.f64 i i)`	underflow	110
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	underflow	55
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	o/n	36	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	105
↳	`(*.f64 i i)`	overflow	138
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	u/n	33	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	88
↳	`(*.f64 i i)`	underflow	110

Confusion

	Predicted +	Predicted -
+	193	1
-	0	62

Precision

1.0

Recall

0.9948453608247423

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	193	0	1
-	0	1	61

Precision?

0.9948453608247423

Recall?

0.9948453608247423

Freqs

test

number	freq
0	63
1	124
2	69

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

39.0ms

512×

valid

Compiler

Compiled 245 to 44 computations (82% saved)

Precisions

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

ival-mult: 13.0ms (60.3% of total)

ival-div: 6.0ms (27.8% of total)

ival-sub: 2.0ms (9.3% of total)

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

exact: 0.0ms (0% of total)

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

preprocess232.0ms (3.4%)

Memory

27.1MiB live, 227.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	43
1	55	43
2	350	26
3	2862	26
4	7766	26
0	10	25
0	17	21
1	45	19
2	187	13
3	1060	13
4	3649	11
5	5388	11
6	7401	11
0	8022	10

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 i (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64))) i)

Symmetry

(abs i)

Compiler

Compiled 25 to 10 computations (60% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	26.0%	(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))

Status

Accuracy

Program

▶

26.0%

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

Compiler

Compiled 25 to 10 computations (60% saved)

simplify167.0ms (2.4%)

Memory

-17.4MiB live, 141.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	128	(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
cost-diff	320	(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
cost-diff	320	(/.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)))
cost-diff	7168	(/.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	45	56
2	187	42
3	1060	42
4	3649	40
5	5388	40
6	7401	40
0	8022	38

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

localize41.0ms (0.6%)

Memory

22.6MiB live, 67.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
accuracy	0.1015625	(.f64 (.f64 i i) (*.f64 i i))
accuracy	16.71654882585244	(/.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	43.38104371122681	(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))

Samples

34.0ms

256×

valid

Compiler

Compiled 146 to 22 computations (84.9% saved)

Precisions

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

ival-div: 15.0ms (65.6% of total)

ival-mult: 6.0ms (26.2% of total)

ival-sub: 1.0ms (4.4% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

-25.2MiB live, 12.3MiB allocated

Counts

5 → 14

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 (.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 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 i i) (*.f64 i i))

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

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	i	@	0	((/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* 2 i) (* 2 i)) (- (* (* 2 i) (* 2 i)) 1) (* (* i i) (* i 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)) (* (* 2 i) (* 2 i)) (- (* (* 2 i) (* 2 i)) 1) (* (* i i) (* i i)))
1.0ms	i	@	-inf	((/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* 2 i) (* 2 i)) (- (* (* 2 i) (* 2 i)) 1) (* (* i i) (* i i)))

Time

Variable

Point

Expression

3.0ms

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

1.0ms

-inf

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

simplify162.0ms (2.4%)

Memory

9.2MiB live, 198.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	123
1	94	123
2	218	122
3	508	118
4	1079	118
5	2115	118
6	4129	118
7	6260	118
0	8072	113

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 14

Calls

Call 1

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

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

rewrite210.0ms (3%)

Memory

22.2MiB live, 267.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	63
0	17	47
1	75	41
2	653	29
0	8772	27

Stop Event

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

Counts

5 → 653

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 (.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 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 i i) (*.f64 i i))

Outputs
(.f64 (.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) i)) i)
(.f64 (pow.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) i) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal -2 binary64)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) i) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal 1 binary64)))
(.f64 (neg.f64 (.f64 (neg.f64 i) i)) #s(literal 1/4 binary64))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) i))
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (pow.f64 i #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 i #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) i) #s(literal -1 binary64)) (pow.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (.f64 i i)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 (*.f64 #s(literal 1/2 binary64) i) i) #s(literal 1/2 binary64))
(.f64 (.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/4 binary64)) (pow.f64 i #s(literal -1 binary64)))
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(fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64))
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(fma.f64 #s(literal 4 binary64) (*.f64 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 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 i i)) (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 (pow.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))) #s(literal -1 binary64))))
(fma.f64 (.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 6 binary64)) (pow.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))) #s(literal -1 binary64)) (neg.f64 (pow.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))) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (.f64 (.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 2 binary64) 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 #s(literal 4 binary64) (.f64 i i)) (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 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 (pow.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))) #s(literal -1 binary64))))
(fma.f64 (.f64 #s(literal 4 binary64) (.f64 i i)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 i i)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64)) #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 8 binary64) (pow.f64 i #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.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) (neg.f64 (.f64 #s(literal -2 binary64) i)) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) i #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 (pow.f64 i #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64)) #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) (neg.f64 (.f64 (.f64 #s(literal -2 binary64) i) i)) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) i) i) #s(literal -1 binary64))
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
(fma.f64 i (/.f64 (*.f64 #s(literal 4 binary64) i) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 i (*.f64 #s(literal 4 binary64) i) #s(literal -1 binary64))
(expm1.f64 (fma.f64 (log.f64 i) #s(literal 2 binary64) (log.f64 #s(literal 4 binary64))))
(-.f64 (/.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)))) #s(literal 1 binary64)) (/.f64 (pow.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))) #s(literal -1 binary64)) #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))) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 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 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64)))) (pow.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))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))
(-.f64 (.f64 #s(literal 4 binary64) (.f64 i i)) #s(literal 1 binary64))
(+.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (.f64 (*.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)))
(+.f64 (.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) i)))
(+.f64 (.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) i)) (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) i)) (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) 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))) (neg.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 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 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64)))) (neg.f64 (pow.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))) #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 (neg.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64)))) i)
(*.f64 (neg.f64 (neg.f64 i)) (pow.f64 i #s(literal 3 binary64)))
(.f64 (neg.f64 (.f64 (neg.f64 i) i)) (*.f64 i i))
(*.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64))) (neg.f64 i))
(*.f64 (neg.f64 i) (neg.f64 (pow.f64 i #s(literal 3 binary64))))
(.f64 (.f64 (neg.f64 i) i) (*.f64 (neg.f64 i) i))
(*.f64 (pow.f64 i #s(literal 3 binary64)) (neg.f64 (neg.f64 i)))
(*.f64 (pow.f64 i #s(literal 3 binary64)) i)
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 4 binary64)))
(*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))
(.f64 (.f64 i i) (neg.f64 (*.f64 (neg.f64 i) i)))
(.f64 (.f64 i i) (*.f64 i i))
(*.f64 i (neg.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64)))))
(*.f64 i (pow.f64 i #s(literal 3 binary64)))
(pow.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 i i) #s(literal 2 binary64))
(pow.f64 i #s(literal 4 binary64))
(neg.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(exp.f64 (fma.f64 (log.f64 i) #s(literal 2 binary64) (*.f64 (log.f64 i) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 i) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 i) #s(literal 2 binary64)) #s(literal 2 binary64)))

eval421.0ms (6.1%)

Memory: -23.6MiB live, 165.4MiB allocated
Compiler: Compiled 16 920 to 1 794 computations (89.4% saved)

prune27.0ms (0.4%)

Memory

5.6MiB live, 42.5MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	695	7	702
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	696	7	703

Accuracy

100.0%

Counts

703 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.8%	(/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
	72.6%	(/.f64 (.f64 i i) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
	73.7%	(.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i))
▶	54.2%	#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)))
▶	46.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
▶	46.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(literal -1/4 binary64) (.f64 i i)))
▶	54.3%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 330 to 170 computations (48.5% saved)

simplify127.0ms (1.8%)

Memory

17.9MiB live, 174.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
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	(fma.f64 i i #s(literal 1/4 binary64))
cost-diff	0	(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
cost-diff	0	(.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
cost-diff	0	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
cost-diff	0	(*.f64 i i)
cost-diff	0	(.f64 #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 #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)) #s(literal 1/16 binary64))
cost-diff	0	(*.f64 i i)
cost-diff	0	(.f64 #s(literal 1/4 binary64) (.f64 i i))
cost-diff	0	(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
cost-diff	1088	(/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	224
0	45	208
1	95	198
2	305	174
3	1342	174
4	4165	164
5	6931	164
0	8153	159

Stop Event

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

Calls

Call 1

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

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

localize145.0ms (2.1%)

Memory

-32.3MiB live, 149.5MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
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	0.3809520117485664	(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
accuracy	29.338423612235427	#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	0.0	(neg.f64 i)
accuracy	0.02734375	(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
accuracy	0.046875	(.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
accuracy	34.482099728167924	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
accuracy	0.0	(*.f64 i i)
accuracy	0.0	(.f64 #s(literal -1/4 binary64) (.f64 i i))
accuracy	34.48326489040183	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(literal -1/4 binary64) (.f64 i i)))
accuracy	29.22961691106829	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
accuracy	0.0	(*.f64 i i)
accuracy	0.0	(.f64 #s(literal 1/4 binary64) (.f64 i i))
accuracy	0.03125	(/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
accuracy	16.079645274907445	(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))

Samples

75.0ms	254×	0	valid
1.0ms	2×	1	valid

Compiler

Compiled 432 to 63 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-div: 27.0ms (43.5% of total)

ival-add: 19.0ms (30.6% of total)

ival-mult: 13.0ms (20.9% of total)

ival-sub: 1.0ms (1.6% of total)

exact: 1.0ms (1.6% of total)

ival-neg: 1.0ms (1.6% of total)

adjust: 0.0ms (0% of total)

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

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

series7.0ms (0.1%)

Memory

14.6MiB live, 14.6MiB allocated

Counts

15 → 31

Calls

Call 1

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

Outputs
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* (pow i 2) (- (* -1/2 i) 1/4))
(* (pow i 2) (- (* i (- (* -1 i) 1/2)) 1/4))
(* (pow i 2) (- (* i (- (* i (- (* -2 i) 1)) 1/2)) 1/4))
(* 1/4 (pow i 2))
(pow i 2)
(* 1/4 i)
(* i (+ 1/4 (pow i 2)))
1/4
(+ 1/4 (pow i 2))
(/ 1/64 (pow i 2))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(* -1 i)
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(* 1/8 i)
(* i (+ 1/8 (* 1/16 (/ 1 i))))
(* i (+ 1/8 (+ (/ 1/32 (pow i 2)) (* 1/16 (/ 1 i)))))
(* i (+ 1/8 (+ (/ 1/32 (pow i 2)) (+ (* 1/16 (/ 1 i)) (* 1/64 (/ 1 (pow i 3)))))))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(pow i 3)
(* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(* -1 (* i (- (* -1 (/ (+ 1/16 (* 1/32 (/ 1 i))) i)) 1/8)))
(* -1 (* i (- (* -1 (/ (+ 1/16 (+ (/ 1/64 (pow i 2)) (* 1/32 (/ 1 i)))) i)) 1/8)))

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

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

2.0ms

inf

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

2.0ms

-inf

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

simplify114.0ms (1.7%)

Memory

14.4MiB live, 129.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	278
1	268	278
2	657	265
3	1850	253
4	7142	253
0	8161	233

Stop Event

1×	iter limit
1×	node limit

Counts

31 → 31

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))
(* (pow i 2) (- (* -1/2 i) 1/4))
(* (pow i 2) (- (* i (- (* -1 i) 1/2)) 1/4))
(* (pow i 2) (- (* i (- (* i (- (* -2 i) 1)) 1/2)) 1/4))
(* 1/4 (pow i 2))
(pow i 2)
(* 1/4 i)
(* i (+ 1/4 (pow i 2)))
1/4
(+ 1/4 (pow i 2))
(/ 1/64 (pow i 2))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(* -1 i)
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(* 1/8 i)
(* i (+ 1/8 (* 1/16 (/ 1 i))))
(* i (+ 1/8 (+ (/ 1/32 (pow i 2)) (* 1/16 (/ 1 i)))))
(* i (+ 1/8 (+ (/ 1/32 (pow i 2)) (+ (* 1/16 (/ 1 i)) (* 1/64 (/ 1 (pow i 3)))))))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(pow i 3)
(* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(* -1 (* i (- (* -1 (/ (+ 1/16 (* 1/32 (/ 1 i))) i)) 1/8)))
(* -1 (* i (- (* -1 (/ (+ 1/16 (+ (/ 1/64 (pow i 2)) (* 1/32 (/ 1 i)))) i)) 1/8)))

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

rewrite248.0ms (3.6%)

Memory

18.9MiB live, 169.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	197
0	45	173
1	188	163
2	1521	146
0	8638	139

Stop Event

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

Counts

15 → 632

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (.f64 (pow.f64 (.f64 i #s(literal 1/2 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (.f64 (pow.f64 (.f64 i #s(literal 1/2 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64)) (.f64 (.f64 #s(literal 2 binary64) i) (pow.f64 i #s(literal -4 binary64)))) #s(literal -1 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64)) (pow.f64 i #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 (pow.f64 (.f64 i #s(literal 1/2 binary64)) #s(literal -2 binary64)) (pow.f64 i #s(literal -4 binary64))) #s(literal -1 binary64)) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) i)) #s(literal -1 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) i)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (pow.f64 i #s(literal -4 binary64))) #s(literal -1 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (.f64 #s(literal 4 binary64) (*.f64 i i))) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (pow.f64 i #s(literal -2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (.f64 (/.f64 i (.f64 i #s(literal 4 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64)) (.f64 (*.f64 i i) #s(literal 1/4 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (pow.f64 (*.f64 i #s(literal 1/2 binary64)) #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64))))
(.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 2 binary64) i) (pow.f64 i #s(literal -2 binary64)))) (fma.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 i i) (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64))))
(.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (-.f64 (/.f64 #s(literal 2 binary64) i) (pow.f64 i #s(literal -2 binary64)))) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (fma.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 1/4 binary64)) (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)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (*.f64 i i)) (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64))))
(.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/4 binary64)))
(.f64 (/.f64 (.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) i) #s(literal 1/2 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal -1 binary64)))
(.f64 (/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))) (pow.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (pow.f64 (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 i #s(literal 1/4 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64))) (.f64 i (/.f64 i (fma.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)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 (.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/4 binary64)) (fma.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 #s(literal -1/4 binary64) (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 (.f64 (/.f64 i (.f64 i #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))) (.f64 i (.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/4 binary64))))
(.f64 (/.f64 (.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))) #s(literal 1 binary64)))
(.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))) (.f64 (pow.f64 i #s(literal 3 binary64)) (.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/4 binary64))))
(.f64 (pow.f64 i #s(literal 3 binary64)) (/.f64 i (fma.f64 #s(literal -4 binary64) (.f64 i i) (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))))))
(.f64 (.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) i) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal -2 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 3 binary64)))))
(.f64 (.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) i) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) i))))
(.f64 (.f64 i #s(literal 1/4 binary64)) (/.f64 i (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 (.f64 i i) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 2 binary64) i) (pow.f64 i #s(literal -2 binary64)))))
(.f64 (.f64 i #s(literal 1/2 binary64)) (/.f64 (.f64 i #s(literal 1/2 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))))
(.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))))
(.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64)) (.f64 #s(literal -4 binary64) (*.f64 i i)))))
(.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -4 binary64) (.f64 i i) (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)))))))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 i i)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 i i)) (pow.f64 (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1/4 binary64) (-.f64 (/.f64 #s(literal 2 binary64) i) (pow.f64 i #s(literal -2 binary64)))) (pow.f64 (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 i #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (.f64 i i) (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (.f64 i #s(literal 1/4 binary64)) (/.f64 i (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 2 binary64) i) (pow.f64 i #s(literal -2 binary64)))) (pow.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (pow.f64 (.f64 i #s(literal 1/2 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))))))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1/4 binary64) (-.f64 (/.f64 #s(literal 2 binary64) i) (pow.f64 i #s(literal -2 binary64)))) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (/.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 (.f64 i i) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64)) #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 (.f64 i i) (/.f64 (.f64 (/.f64 i (.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 i i) (/.f64 (.f64 i i) (fma.f64 #s(literal -4 binary64) (.f64 i i) (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))))))
(.f64 i (/.f64 (pow.f64 i #s(literal 3 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 i i) (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))))))
(.f64 #s(literal 1/4 binary64) (/.f64 (.f64 i (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(.f64 #s(literal 1/4 binary64) (/.f64 (.f64 i i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
(pow.f64 (.f64 (pow.f64 (.f64 i #s(literal 1/2 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64)))) (.f64 #s(literal -4 binary64) (*.f64 i i)))
(/.f64 (neg.f64 (/.f64 (.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) i) #s(literal 1/2 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64)))) (*.f64 i #s(literal -2 binary64)))
(/.f64 (neg.f64 (/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64)))) (.f64 #s(literal 4 binary64) (*.f64 i i)))
(/.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64)) #s(literal -1 binary64))) (neg.f64 (pow.f64 (.f64 i #s(literal 1/2 binary64)) #s(literal -2 binary64))))
(/.f64 (neg.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 i i)) (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64)))) (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)))
(/.f64 (neg.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
(/.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) i) (pow.f64 i #s(literal -2 binary64))) #s(literal 4 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (-.f64 (/.f64 #s(literal 2 binary64) i) (pow.f64 i #s(literal -2 binary64)))) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64))))
(/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 i i)) (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
(/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))) (.f64 #s(literal 4 binary64) (*.f64 i i)))
(/.f64 (/.f64 (.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) i) #s(literal 1/2 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) i))
(/.f64 (/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))) (.f64 #s(literal -4 binary64) (*.f64 i i)))
(/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) i) (pow.f64 i #s(literal -2 binary64))))
(/.f64 (/.f64 (.f64 i i) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))) (.f64 (.f64 #s(literal 4 binary64) (*.f64 i i)) (pow.f64 i #s(literal -2 binary64))))
(/.f64 (neg.f64 (.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) i) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 i #s(literal -2 binary64) (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) i) #s(literal 1/2 binary64))) (neg.f64 (.f64 (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) i))))
(/.f64 (.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) i) #s(literal 1/2 binary64)) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) i)))
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(/.f64 (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 1/4096 binary64) #s(literal -1/256 binary64)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/256 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal -2 binary64))) #s(literal 1/1024 binary64)) (.f64 i i))) (fma.f64 (pow.f64 i #s(literal -6 binary64)) #s(literal 1/262144 binary64) #s(literal 1/4096 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal 1/16 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal 1/16 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal 1/16 binary64)))))
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(fma.f64 #s(literal -1/64 binary64) (/.f64 #s(literal -1 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(fma.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1 binary64) #s(literal 1/16 binary64))
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(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 i i) #s(literal 64 binary64)))) #s(literal 1/16 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/64 binary64) (pow.f64 i #s(literal -2 binary64))) #s(literal 1/16 binary64))
(-.f64 (/.f64 #s(literal 1/256 binary64) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i)))) (/.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i)))))
(-.f64 (/.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64))) (/.f64 #s(literal 1/256 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64))))
(-.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -1/64 binary64) (pow.f64 i #s(literal -2 binary64))))
(+.f64 (/.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64))) (neg.f64 (/.f64 #s(literal 1/256 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64)))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
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(*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64))
(.f64 #s(literal -1/64 binary64) (/.f64 #s(literal -1 binary64) (.f64 i i)))
(.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal 1 binary64))
(*.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal -2 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (*.f64 i i) #s(literal 64 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/64 binary64) (pow.f64 i #s(literal -2 binary64))))
(pow.f64 (.f64 (.f64 i i) #s(literal 64 binary64)) #s(literal -1 binary64))
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(/.f64 (/.f64 #s(literal 1/64 binary64) i) i)
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(neg.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 i #s(literal -2 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/64 binary64) (pow.f64 i #s(literal -2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 i i) #s(literal 64 binary64))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 i i #s(literal 0 binary64))))
(.f64 (.f64 (neg.f64 i) i) (pow.f64 i #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) i)
(*.f64 i #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 i) (neg.f64 i))) (-.f64 #s(literal 0 binary64) (neg.f64 i)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 i) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (neg.f64 i) (neg.f64 i)) (.f64 #s(literal 0 binary64) (neg.f64 i)))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64)))) (neg.f64 (fma.f64 i i #s(literal 0 binary64))))
(/.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64))) (fma.f64 i i #s(literal 0 binary64)))
(/.f64 (*.f64 (neg.f64 i) i) i)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i i #s(literal 0 binary64)) (neg.f64 (pow.f64 i #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (neg.f64 i) i)))
(/.f64 (*.f64 i i) (neg.f64 i))
(neg.f64 i)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 i i #s(literal 0 binary64))) (/.f64 (pow.f64 i #s(literal 3 binary64)) (fma.f64 i i #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) i) i)
(-.f64 #s(literal 0 binary64) i)
(+.f64 #s(literal 0 binary64) (neg.f64 i))

eval153.0ms (2.2%)

Memory: 0.9MiB live, 155.8MiB allocated
Compiler: Compiled 22 128 to 2 104 computations (90.5% saved)

prune28.0ms (0.4%)

Memory

0.3MiB live, 37.4MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	689	2	691
Fresh	1	1	2
Picked	1	4	5
Done	0	0	0
Total	691	7	698

Accuracy

100.0%

Counts

698 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.0%	(/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))
▶	73.0%	(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 i i)) (*.f64 (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
▶	73.7%	(.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i))
✓	54.2%	#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)))
✓	46.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
✓	46.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(literal -1/4 binary64) (.f64 i i)))
✓	54.3%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 165 to 86 computations (47.9% saved)

simplify467.0ms (6.8%)

Memory

-15.8MiB live, 115.7MiB 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 i i)
cost-diff	0	(.f64 (.f64 i i) #s(literal 1/4 binary64))
cost-diff	0	(/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))
cost-diff	0	(*.f64 i i)
cost-diff	0	(.f64 #s(literal -1/4 binary64) (.f64 i i))
cost-diff	0	(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 i i)) (*.f64 (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
cost-diff	384	(*.f64 (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
cost-diff	0	(*.f64 i i)
cost-diff	0	(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
cost-diff	0	(/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))
cost-diff	0	(.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	111
0	35	111
1	72	111
2	158	111
3	340	111
4	595	111
5	765	107
6	936	107
7	1098	107
8	1688	107
9	2483	107
10	3298	107
11	3761	107
12	5611	107
0	8357	105

Stop Event

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

Calls

Call 1

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

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

localize60.0ms (0.9%)

Memory

-12.7MiB live, 62.8MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(.f64 (.f64 i i) #s(literal 1/4 binary64))
accuracy	0.0	(*.f64 i i)
accuracy	0.01953125	(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
accuracy	16.71654882585244	(/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))
accuracy	0.0	(*.f64 i i)
accuracy	0.0	(.f64 #s(literal -1/4 binary64) (.f64 i i))
accuracy	0.0078125	(*.f64 (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
accuracy	16.71654882585244	(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 i i)) (*.f64 (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
accuracy	0.0	(*.f64 #s(literal 1/4 binary64) i)
accuracy	0.01953125	(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
accuracy	0.1015625	(.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i))
accuracy	16.09596460082814	(/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))

Samples

38.0ms

256×

valid

Compiler

Compiled 235 to 45 computations (80.9% saved)

Precisions

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

ival-mult: 12.0ms (56.6% of total)

ival-div: 4.0ms (18.9% of total)

ival-add: 3.0ms (14.2% of total)

exact: 1.0ms (4.7% of total)

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

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

series6.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB allocated

Counts

10 → 29

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

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

2.0ms

inf

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

2.0ms

-inf

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

simplify158.0ms (2.3%)

Memory

5.6MiB live, 159.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	279
1	195	279
2	475	266
3	1210	266
4	2810	266
5	5966	266
0	8240	256

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 29

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

Outputs
(* -1/4 (pow i 2))
(.f64 (.f64 i i) #s(literal -1/4 binary64))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(.f64 (fma.f64 i i #s(literal 1/4 binary64)) (.f64 (neg.f64 i) i))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -4 binary64) (-.f64 #s(literal -1/4 binary64) (.f64 i i))) (*.f64 i i))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -16 binary64) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -4 binary64) (-.f64 #s(literal -1/4 binary64) (.f64 i i)))) (*.f64 i i))
(* -1 i)
(neg.f64 i)
(* i (- (* -4 (pow i 2)) 1))
(fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal -4 binary64) (neg.f64 i))
(* i (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1))
(fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal -16 binary64) (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal -4 binary64) (neg.f64 i)))
(* i (- (* (pow i 2) (- (* (pow i 2) (- (* -64 (pow i 2)) 16)) 4)) 1))
(fma.f64 (pow.f64 i #s(literal 5 binary64)) (fma.f64 #s(literal -64 binary64) (*.f64 i i) #s(literal -16 binary64)) (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal -4 binary64) (neg.f64 i)))
-1
#s(literal -1 binary64)
(- (* 4 (pow i 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(pow i 2)
(*.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 (pow i 2))
(.f64 #s(literal 1/4 binary64) (.f64 i i))
(* 1/4 i)
(*.f64 #s(literal 1/4 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 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (-.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (-.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (-.f64 #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))))
(/ 1/4 i)
(/.f64 #s(literal 1/4 binary64) i)
(/ (+ 1/4 (* 1/16 (/ 1 (pow i 2)))) i)
(/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 i i)) #s(literal -1/4 binary64)) i)
(/ (+ 1/4 (+ (/ 1/64 (pow i 4)) (* 1/16 (/ 1 (pow i 2))))) i)
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64)) (pow.f64 i #s(literal 3 binary64))) (/.f64 #s(literal -1/4 binary64) i))
(/ (+ 1/4 (+ (/ 1/64 (pow i 4)) (+ (* 1/16 (/ 1 (pow i 2))) (* 1/256 (/ 1 (pow i 6)))))) i)
(/.f64 (-.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 6 binary64))) (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) i) i) #s(literal 1/4 binary64))) i)
(* 4 (pow i 2))
(.f64 #s(literal 4 binary64) (.f64 i i))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(* -4 (pow i 2))
(.f64 #s(literal -4 binary64) (.f64 i i))
(* (pow i 2) (- (/ 1 (pow i 2)) 4))
(fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (pow i 2))) 1/4) i))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64)) (pow.f64 i #s(literal 3 binary64))) (/.f64 #s(literal -1/4 binary64) i))
(* -1 (/ (- (* -1 (/ (+ 1/64 (* 1/256 (/ 1 (pow i 2)))) (pow i 4))) (+ 1/4 (* 1/16 (/ 1 (pow i 2))))) i))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/256 binary64) (.f64 i i)) #s(literal -1/64 binary64)) (pow.f64 i #s(literal 4 binary64))) (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 i i)))) i)

rewrite217.0ms (3.2%)

Memory

26.9MiB live, 336.1MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	78
0	35	75
1	127	75
2	963	72
0	9424	72

Stop Event

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

Counts

10 → 1 396

Calls

Call 1

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

Outputs
(.f64 (.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 i) i)) #s(literal 1/4 binary64))
(.f64 (.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -1/4 binary64) i)) i)
(.f64 (.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 i)) (*.f64 #s(literal 1/4 binary64) i))
(.f64 (.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/4 binary64)) (*.f64 i i))
(.f64 (.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i))
(.f64 (.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) i) i))
(.f64 (.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 i i)) #s(literal -1/4 binary64))
(.f64 (.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) i) (*.f64 #s(literal -1/4 binary64) i))
(.f64 (.f64 (.f64 i (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) (/.f64 #s(literal -1/4 binary64) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
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(+.f64 (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) i) i) (fma.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 (.f64 i i) #s(literal 4 binary64))) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) i) i) (fma.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(+.f64 (.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) i) i) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal -1 binary64))) (.f64 (.f64 i i) #s(literal 4 binary64))) (.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) i) i) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) i) i) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (.f64 i i)))) (.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) i) i) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 4 binary64))))
(+.f64 (.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) i) i) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64))) (pow.f64 (.f64 #s(literal -2 binary64) i) #s(literal 4 binary64))) (.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) i) i) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (*.f64 i i)))))
(.f64 (.f64 (*.f64 #s(literal -1/4 binary64) i) #s(literal -1 binary64)) i)
(.f64 (.f64 #s(literal -1 binary64) (*.f64 (neg.f64 i) i)) #s(literal 1/4 binary64))
(.f64 (neg.f64 (.f64 (neg.f64 i) i)) #s(literal 1/4 binary64))
(.f64 (.f64 (neg.f64 i) i) #s(literal -1/4 binary64))
(.f64 (.f64 #s(literal -1/4 binary64) i) (*.f64 (neg.f64 i) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal -1/4 binary64) i) (neg.f64 i))
(.f64 (neg.f64 i) (.f64 #s(literal -1/4 binary64) i))
(.f64 (.f64 (*.f64 #s(literal 1/4 binary64) i) i) #s(literal 1 binary64))
(.f64 #s(literal -1/4 binary64) (.f64 (*.f64 (neg.f64 i) i) #s(literal 1 binary64)))
(.f64 #s(literal -1/4 binary64) (.f64 (neg.f64 i) i))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 1/4 binary64) i) i))
(.f64 (.f64 #s(literal 1/4 binary64) i) i)
(.f64 #s(literal 1/4 binary64) (.f64 (*.f64 i i) #s(literal 1 binary64)))
(.f64 #s(literal 1/4 binary64) (neg.f64 (.f64 (neg.f64 i) i)))
(.f64 #s(literal 1/4 binary64) (.f64 i i))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(.f64 (.f64 i i) #s(literal 1/4 binary64))
(.f64 i (.f64 #s(literal 1/4 binary64) i))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 i i)) (.f64 #s(literal -1/4 binary64) (.f64 i i)))) (.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 #s(literal -1/4 binary64) (.f64 i i)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 i i)) (.f64 #s(literal -1/4 binary64) (.f64 i i)) (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/4 binary64) (*.f64 i i))))))
(neg.f64 (.f64 #s(literal -1/4 binary64) (.f64 i i)))
(-.f64 #s(literal 0 binary64) (.f64 #s(literal -1/4 binary64) (.f64 i i)))
(+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 1/4 binary64) i) i))
(*.f64 (neg.f64 i) #s(literal -1/4 binary64))
(*.f64 #s(literal -1/4 binary64) (neg.f64 i))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) i))
(.f64 (.f64 #s(literal 1/4 binary64) i) #s(literal 1 binary64))
(*.f64 #s(literal 1/4 binary64) i)
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/4 binary64) i))
(*.f64 i #s(literal 1/4 binary64))
(neg.f64 (*.f64 #s(literal -1/4 binary64) i))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) i))

eval172.0ms (2.5%)

Memory: 0.2MiB live, 313.5MiB allocated
Compiler: Compiled 32 139 to 3 206 computations (90% saved)

prune24.0ms (0.3%)

Memory

-9.8MiB live, 78.8MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	1 339	1	1 340
Fresh	0	0	0
Picked	2	1	3
Done	0	4	4
Total	1 341	6	1 347

Accuracy

100.0%

Counts

1 347 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.0%	(/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
✓	73.0%	(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 i i)) (*.f64 (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
✓	54.2%	#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)))
✓	46.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
✓	46.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(literal -1/4 binary64) (.f64 i i)))
✓	54.3%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 153 to 78 computations (49% saved)

simplify4.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	33
0	15	33
1	24	33
2	35	33
3	43	33
4	48	33
0	48	33

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize25.0ms (0.4%)

Memory

-15.4MiB live, 62.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(.f64 (.f64 i i) #s(literal 1/4 binary64))
accuracy	0.0	(*.f64 i i)
accuracy	0.0	(*.f64 #s(literal 4 binary64) i)
accuracy	16.71654882585244	(/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))

Samples

18.0ms

256×

valid

Compiler

Compiled 70 to 21 computations (70% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 7.0ms (67.6% of total)

ival-div: 2.0ms (19.3% of total)

ival-add: 1.0ms (9.7% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

7.5MiB live, 7.5MiB allocated

Counts

5 → 15

Calls

Call 1

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

Outputs
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* 1/4 (pow i 2))
(pow i 2)
-1
(- (* 4 (pow i 2)) 1)
(* 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 2))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

-inf

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

1.0ms

inf

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

1.0ms

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

simplify144.0ms (2.1%)

Memory

15.9MiB live, 171.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	126
1	96	126
2	218	125
3	507	121
4	1079	121
5	2132	121
6	4074	121
7	6220	121
0	8049	116

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 15

Calls

Call 1

Inputs
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* 1/4 (pow i 2))
(pow i 2)
-1
(- (* 4 (pow i 2)) 1)
(* 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 2))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))

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

rewrite286.0ms (4.1%)

Memory

-34.3MiB live, 213.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
0	15	29
1	47	29
2	270	29
3	2572	29
0	9536	29

Stop Event

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

Counts

5 → 388

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))) i))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 i i)) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) i) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal -1 binary64)) (*.f64 #s(literal -1/4 binary64) i)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal -1 binary64)) (.f64 #s(literal 1/4 binary64) i)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64)) i) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal -1 binary64)) (.f64 i i)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal -1 binary64)) i) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 1/4 binary64) i)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64)) (.f64 #s(literal -1/4 binary64) i)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))) #s(literal -1 binary64)) i) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64)) (.f64 i i)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64)) i) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal 1/4 binary64) i)) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))))
(.f64 (pow.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) (.f64 i i)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal -1 binary64)) i) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) i) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal -1 binary64)) i) #s(literal -1 binary64)) (*.f64 #s(literal 1/4 binary64) i))
(.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 (.f64 #s(literal 4 binary64) i) i)))
(.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 i i)) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 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)) (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64)))))
(.f64 (.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal -1 binary64)) #s(literal -1 binary64)) i) (.f64 #s(literal 1/4 binary64) i))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 i i) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64))))) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 i i))) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 i i)) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))))
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(fma.f64 i (pow.f64 (*.f64 #s(literal 4 binary64) i) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 i (/.f64 (.f64 (.f64 #s(literal 16 binary64) (.f64 i i)) i) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 i (neg.f64 (*.f64 i #s(literal -4 binary64))) #s(literal -1 binary64))
(fma.f64 i (neg.f64 (*.f64 #s(literal 4 binary64) i)) #s(literal -1 binary64))
(fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal -1 binary64))
(fma.f64 i (*.f64 #s(literal 4 binary64) i) #s(literal -1 binary64))
(expm1.f64 (*.f64 (fma.f64 (log.f64 i) #s(literal 2 binary64) (log.f64 #s(literal 4 binary64))) #s(literal 1 binary64)))
(expm1.f64 (fma.f64 (log.f64 i) #s(literal 2 binary64) (log.f64 #s(literal 4 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 16 binary64) (/.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal 16 binary64) (/.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 (pow.f64 i #s(literal 12 binary64)) #s(literal 4096 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (/.f64 (.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64)))))) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (pow.f64 (/.f64 (.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (/.f64 (.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64)))))))
(-.f64 (/.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)))) (neg.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal -1 binary64)))) (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal -1 binary64)) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal -1 binary64))))
(-.f64 (/.f64 (.f64 (pow.f64 i #s(literal 8 binary64)) #s(literal 256 binary64)) (.f64 (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64)) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 #s(literal 4 binary64) i) i)))) (/.f64 (.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64)) (.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (*.f64 #s(literal 4 binary64) i) i)))))
(-.f64 (/.f64 (.f64 (pow.f64 i #s(literal 12 binary64)) #s(literal 4096 binary64)) (.f64 (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64)) (fma.f64 (pow.f64 i #s(literal 8 binary64)) #s(literal 256 binary64) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)) (fma.f64 (pow.f64 i #s(literal 8 binary64)) #s(literal 256 binary64) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal 1 binary64))))))
(-.f64 (/.f64 (.f64 (pow.f64 i #s(literal 12 binary64)) #s(literal 4096 binary64)) (.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))) (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))) (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64)))))) (/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (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)))
(-.f64 (/.f64 (/.f64 (.f64 (pow.f64 i #s(literal 12 binary64)) #s(literal 4096 binary64)) (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))))) (/.f64 (pow.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 (pow.f64 i #s(literal 12 binary64)) #s(literal 4096 binary64)) (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64)))))) (/.f64 (pow.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (neg.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))))))
(-.f64 (/.f64 (/.f64 (.f64 (pow.f64 i #s(literal 12 binary64)) #s(literal 4096 binary64)) (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal -1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 (/.f64 (.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (.f64 (.f64 #s(literal 4 binary64) i) i)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64)) (-.f64 #s(literal -1 binary64) (.f64 (*.f64 #s(literal 4 binary64) i) i))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) i) i) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 (.f64 (pow.f64 i #s(literal 8 binary64)) #s(literal 256 binary64)) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (pow.f64 i #s(literal 12 binary64)) #s(literal 4096 binary64)) (fma.f64 (pow.f64 i #s(literal 8 binary64)) #s(literal 256 binary64) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal 1 binary64)))) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 (pow.f64 i #s(literal 8 binary64)) #s(literal 256 binary64) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64))) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64)))) (pow.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (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)))
(-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (.f64 (.f64 #s(literal 4 binary64) i) i)) #s(literal -1 binary64)) (/.f64 (.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64)) (-.f64 #s(literal -1 binary64) (.f64 (*.f64 #s(literal 4 binary64) i) i))))
(-.f64 (/.f64 (.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (fma.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 -1 binary64) (/.f64 (.f64 (.f64 #s(literal 4 binary64) i) i) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (.f64 (log.f64 (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal -1 binary64))) #s(literal -1 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 #s(literal -4 binary64) (.f64 (neg.f64 i) i)) #s(literal -1 binary64))
(+.f64 (/.f64 (.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.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 -1 binary64) (.f64 #s(literal -4 binary64) (.f64 (neg.f64 i) i)))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 #s(literal 4 binary64) i) i))
(*.f64 #s(literal 4 binary64) i)
(*.f64 i #s(literal 4 binary64))

eval51.0ms (0.7%)

Memory: 15.3MiB live, 52.1MiB allocated
Compiler: Compiled 10 452 to 1 204 computations (88.5% saved)

prune25.0ms (0.4%)

Memory

-12.7MiB live, 25.1MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	402	0	402
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	402	6	408

Accuracy

100.0%

Counts

408 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.0%	(/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
✓	73.0%	(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 i i)) (*.f64 (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
✓	54.2%	#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)))
✓	46.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
✓	46.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(literal -1/4 binary64) (.f64 i i)))
✓	54.3%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 382 to 134 computations (64.9% saved)

regimes7.0ms (0.1%)

Memory

12.0MiB live, 12.0MiB allocated

Counts

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

Outputs

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

Calls

2 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
100.0%	2	`i`
79.2%	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)))`

Compiler

Compiled 26 to 11 computations (57.7% saved)

regimes3.0ms (0%)

Memory

5.4MiB live, 5.4MiB 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 #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 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
(.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i))
(/.f64 (.f64 i i) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
(/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))

Outputs

(/.f64 (*.f64 i i) (*.f64 #s(literal 4 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)) #s(literal 1/16 binary64))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
100.0%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory

4.2MiB live, 4.2MiB allocated

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
100.0%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory

3.6MiB live, 3.6MiB 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 #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 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))

Outputs

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.1%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory

3.2MiB live, 3.2MiB 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 #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 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))

Outputs

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.8%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory

2.8MiB live, 2.8MiB 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 #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(literal -1/4 binary64) (*.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:

1.0ms

Results

Accuracy	Segments	Branch
98.7%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes13.0ms (0.2%)

Memory

-40.5MiB live, 4.6MiB 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
54.3%	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)))`
54.3%	1	`i`

Compiler

Compiled 26 to 11 computations (57.7% saved)

bsearch8.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
6.0ms	7873.340322295353	3664136272954.98

Samples

4.0ms

64×

valid

Compiler

Compiled 184 to 106 computations (42.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 1.0ms (41.3% of total)

ival-mult: 1.0ms (41.3% of total)

ival-sub: 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)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
0.0ms	7873.340322295353	3664136272954.98

Compiler

Compiled 67 to 35 computations (47.8% saved)

bsearch6.0ms (0.1%)

Memory

9.3MiB live, 9.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
5.0ms	7873.340322295353	3664136272954.98

Samples

3.0ms

48×

valid

Compiler

Compiled 301 to 175 computations (41.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 1.0ms (52% of total)

ival-mult: 1.0ms (52% of total)

ival-sub: 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)

bsearch18.0ms (0.3%)

Memory

-16.0MiB live, 22.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.6635921373017387e-7	0.5074711684518046

Samples

8.0ms

144×

valid

Compiler

Compiled 640 to 320 computations (50% saved)

Precisions

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

ival-mult: 3.0ms (53.8% of total)

ival-div: 2.0ms (35.8% of total)

ival-sub: 1.0ms (17.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.6635921373017387e-7	0.5074711684518046

Compiler

Compiled 586 to 284 computations (51.5% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.6635921373017387e-7	0.5074711684518046

Compiler

Compiled 550 to 266 computations (51.6% saved)

simplify69.0ms (1%)

Memory

13.0MiB live, 51.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	52	356
1	83	336
2	235	296
3	1150	276
4	2617	266
5	4845	256
6	7355	256

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 i #s(literal 20000000 binary64)) (/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) 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)))
(if (<=.f64 i #s(literal 10000 binary64)) (/.f64 (.f64 i i) (.f64 #s(literal 4 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)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 50000000 binary64)) (.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))) (.f64 #s(literal 1/4 binary64) 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 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(literal -1/4 binary64) (.f64 i i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Outputs
(if (<=.f64 i #s(literal 20000000 binary64)) (/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) 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)))
(if (<=.f64 i #s(literal 10000 binary64)) (/.f64 (.f64 i i) (.f64 #s(literal 4 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)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 50000000 binary64)) (.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))) (.f64 #s(literal 1/4 binary64) 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 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(literal -1/4 binary64) (.f64 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 (16.7%)

Memory

-0.4MiB live, 478.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	63
0	17	47
1	75	41
2	653	29
0	8772	27
0	20	78
0	35	75
1	127	75
2	963	72
0	9424	72
0	49	123
1	94	123
2	218	122
3	508	118
4	1079	118
5	2115	118
6	4129	118
7	6260	118
0	8072	113
0	32	197
0	45	173
1	188	163
2	1521	146
0	8638	139

Stop Event

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

Compiler

Compiled 493 to 132 computations (73.2% saved)

preprocess60.0ms (0.9%)

Memory: -5.0MiB live, 157.1MiB allocated
Remove: (abs i)
Compiler: Compiled 848 to 170 computations (80% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze3.0ms (0%)

sample1.7s (24.2%)

explain141.0ms (2.1%)

preprocess232.0ms (3.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify167.0ms (2.4%)

localize41.0ms (0.6%)

series7.0ms (0.1%)

simplify162.0ms (2.4%)

rewrite210.0ms (3%)

eval421.0ms (6.1%)

prune27.0ms (0.4%)

simplify127.0ms (1.8%)

localize145.0ms (2.1%)

series7.0ms (0.1%)

simplify114.0ms (1.7%)

rewrite248.0ms (3.6%)

eval153.0ms (2.2%)

prune28.0ms (0.4%)

simplify467.0ms (6.8%)

localize60.0ms (0.9%)

series6.0ms (0.1%)

simplify158.0ms (2.3%)

rewrite217.0ms (3.2%)

eval172.0ms (2.5%)

prune24.0ms (0.3%)

simplify4.0ms (0.1%)

localize25.0ms (0.4%)

series3.0ms (0%)

simplify144.0ms (2.1%)

rewrite286.0ms (4.1%)

eval51.0ms (0.7%)

prune25.0ms (0.4%)

regimes7.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes13.0ms (0.2%)

bsearch8.0ms (0.1%)

bsearch1.0ms (0%)

bsearch6.0ms (0.1%)

bsearch18.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify69.0ms (1%)

soundness1.2s (16.7%)

preprocess60.0ms (0.9%)

end0.0ms (0%)

Profiling