Metrics for Octave 3.8, jcobi/4, as called

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze3.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB 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)

sample1.3s (24.3%)

Memory

-80.7MiB live, 1 341.9MiB allocated

Samples

625.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 463.0ms

ival-mult: 238.0ms (51.4% of total)

ival-div: 138.0ms (29.8% of total)

ival-sub: 45.0ms (9.7% of total)

ival->: 23.0ms (5% of total)

exact: 15.0ms (3.2% of total)

ival-assert: 4.0ms (0.9% of total)

Bogosity

explain316.0ms (5.8%)

Memory

1.9MiB live, 361.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
194	0	-	-	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`
63	67	(2.411243592355731e-213)	-	`(/.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)))`	u/u	67	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	99
↳	`(*.f64 i i)`	underflow	134
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	underflow	67
`/.f64`	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`	u/n	67	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	99
↳	`(*.f64 i i)`	underflow	134
↳	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	underflow	67
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	underflow	67
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	o/o	63	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	95
↳	`(*.f64 i i)`	overflow	126
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	63
`/.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	63	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	95
↳	`(*.f64 i i)`	overflow	126
↳	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	overflow	63
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	63
↳	`(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))`	overflow	63
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	63
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	u/n	32	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	99
↳	`(*.f64 i i)`	underflow	134
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	o/n	32	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	95
↳	`(*.f64 i i)`	overflow	126

Confusion

	Predicted +	Predicted -
+	194	0
-	0	62

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	194	0	0
-	0	0	62

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	62
1	64
2	130

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

38.0ms

512×

valid

Compiler

Compiled 317 to 83 computations (73.8% saved)

Precisions

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

ival-mult: 13.0ms (57% of total)

ival-div: 6.0ms (26.3% of total)

ival-sub: 3.0ms (13.2% of total)

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

exact: 1.0ms (4.4% of total)

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

preprocess185.0ms (3.4%)

Memory

4.1MiB live, 277.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	43
1	55	43
2	350	26
3	2861	26
4	7636	26
0	10	25
0	17	21
1	45	19
2	187	13
3	1060	13
4	3649	11
5	5292	11
6	7322	11
0	8036	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

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	25.6%	(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))

Status

Accuracy

Program

▶

25.6%

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

Compiler

Compiled 25 to 10 computations (60% saved)

simplify280.0ms (5.1%)

Memory

-19.9MiB live, 190.3MiB 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	5292	40
6	7322	40
0	8036	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)

localize77.0ms (1.4%)

Memory

6.6MiB live, 45.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
accuracy	0.140625	(.f64 (.f64 i i) (*.f64 i i))
accuracy	15.271088058387013	(/.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	43.937039390553466	(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))

Samples

68.0ms

256×

valid

Compiler

Compiled 146 to 22 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-mult: 57.0ms (92.9% of total)

ival-div: 3.0ms (4.9% of total)

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

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

-22.6MiB live, 15.5MiB 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	@	-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)))
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	@	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)))

Time

Variable

Point

Expression

3.0ms

-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)))

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

((/ (* (* 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)))

simplify229.0ms (4.2%)

Memory

27.6MiB live, 181.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	123
1	94	123
2	218	122
3	505	118
4	1055	118
5	2101	118
6	3996	118
7	6196	118
0	8150	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))

rewrite161.0ms (3%)

Memory

-4.3MiB live, 183.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	63
0	17	47
1	75	41
2	653	29
0	8740	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)))
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(fma.f64 (neg.f64 (*.f64 i #s(literal -4 binary64))) i #s(literal -1 binary64))
(fma.f64 (neg.f64 (.f64 #s(literal -2 binary64) i)) (.f64 #s(literal 2 binary64) i) #s(literal -1 binary64))
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(fma.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) (/.f64 (.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))))
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(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 #s(literal -2 binary64) i) i) #s(literal -1 binary64))
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(fma.f64 #s(literal 64 binary64) (/.f64 (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64)))) (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 8 binary64) (pow.f64 i #s(literal 3 binary64))) (/.f64 (.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 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))))
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(fma.f64 (.f64 (.f64 #s(literal 2 binary64) i) i) #s(literal 2 binary64) #s(literal -1 binary64))
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(fma.f64 (*.f64 #s(literal 4 binary64) i) (/.f64 i #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) i) (neg.f64 (neg.f64 i)) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))
(fma.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)))
(fma.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)))
(fma.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)))
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(fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 4 binary64) (neg.f64 (*.f64 (neg.f64 i) i)) #s(literal -1 binary64))
(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)))

eval79.0ms (1.5%)

Memory: 8.1MiB live, 125.7MiB allocated
Compiler: Compiled 16 920 to 1 794 computations (89.4% saved)

prune13.0ms (0.2%)

Memory

8.2MiB live, 47.1MiB 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
▶	76.1%	(/.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)))
	75.3%	(.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))) (*.f64 i i))
	75.9%	(.f64 (.f64 i (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))) i)
▶	51.9%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
▶	48.1%	#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)))
▶	47.9%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(literal -1/4 binary64) (.f64 i i)))
▶	52.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 330 to 172 computations (47.9% saved)

simplify150.0ms (2.8%)

Memory

-14.0MiB live, 190.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
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	0	(/.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	31	224
0	44	208
1	93	200
2	295	176
3	1372	176
4	4203	168
5	6430	168
0	8094	164

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

localize195.0ms (3.6%)

Memory

3.1MiB live, 77.5MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
accuracy	0	(*.f64 i i)
accuracy	0.2788562485010776	(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
accuracy	30.81427189173758	#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	(neg.f64 i)
accuracy	0.0234375	(.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
accuracy	0.0625	(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
accuracy	33.231744079732614	#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	(*.f64 i i)
accuracy	0.00390625	(.f64 #s(literal -1/4 binary64) (.f64 i i))
accuracy	33.32167368034124	#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	30.649480877263027	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
accuracy	0	(*.f64 i i)
accuracy	0.00390625	(.f64 #s(literal -1/4 binary64) (.f64 i i))
accuracy	0.0078125	(/.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	14.753628803921856	(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))

Samples

175.0ms

256×

valid

Compiler

Compiled 432 to 62 computations (85.6% saved)

Precisions

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

ival-mult: 12.0ms (43.5% of total)

ival-div: 7.0ms (25.4% of total)

ival-add: 5.0ms (18.1% of total)

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

exact: 1.0ms (3.6% of total)

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

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

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

series7.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated

Counts

14 → 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)))
#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 (+ 1/2 (* -1 i))) 1/4))
(* (pow i 2) (- (* i (+ 1/2 (* i (- (* 2 i) 1)))) 1/4))
(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 (- (* 1/16 (/ 1 i)) 1/8))
(* i (- (* 1/16 (/ 1 i)) (+ 1/8 (/ 1/32 (pow i 2)))))
(* i (- (+ (* 1/16 (/ 1 i)) (* 1/64 (/ 1 (pow i 3)))) (+ 1/8 (/ 1/32 (pow i 2)))))
(* -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 (- 1/8 (* 1/16 (/ 1 i)))))
(* -1 (* i (+ 1/8 (* -1 (/ (- 1/16 (* 1/32 (/ 1 i))) i)))))
(* -1 (* i (+ 1/8 (* -1 (/ (+ 1/16 (* -1 (/ (- 1/32 (* 1/64 (/ 1 i))) i))) i)))))

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)) (/ (/ (* (* 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)) (/ (/ (* (* 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)) (/ (/ (* (* 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)) (/ (/ (* (* 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)) (/ (/ (* (* 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)) (/ (/ (* (* 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))

simplify103.0ms (1.9%)

Memory

4.3MiB live, 117.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	280
1	303	271
2	802	269
3	2181	249
4	6885	249
0	8098	230

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

rewrite145.0ms (2.7%)

Memory

7.9MiB live, 160.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	192
0	44	168
1	187	160
2	1552	137
0	8825	135

Stop Event

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

Counts

14 → 399

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

eval87.0ms (1.6%)

Memory: -14.1MiB live, 117.6MiB allocated
Compiler: Compiled 16 831 to 1 650 computations (90.2% saved)

prune32.0ms (0.6%)

Memory

-8.9MiB live, 29.8MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	541	1	542
Fresh	0	2	2
Picked	1	4	5
Done	0	0	0
Total	542	7	549

Accuracy

100.0%

Counts

549 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.1%	(/.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)))
▶	75.3%	(.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))) (*.f64 i i))
▶	75.9%	(.f64 (.f64 i (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))) i)
✓	51.9%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
✓	48.1%	#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)))
▶	47.9%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 i #s(literal -1/4 binary64)) i))
✓	52.1%	#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)

simplify139.0ms (2.6%)

Memory

43.1MiB live, 190.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	117
0	30	113
1	73	111
2	223	105
3	1111	105
4	3813	103
5	5451	103
6	7485	103
0	8106	102

Stop Event

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

Calls

Call 1

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

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

localize60.0ms (1.1%)

Memory

-13.9MiB live, 107.7MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 i i)
accuracy	0.00390625	(fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))
accuracy	0.2741904823499786	(/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))
accuracy	15.364829837340162	(.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))) (*.f64 i i))
accuracy	0.00390625	(fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))
accuracy	0.125	(.f64 (.f64 i (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))) i)
accuracy	0.2741904823499786	(/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))
accuracy	14.43945354910309	(.f64 i (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))))
accuracy	0	(.f64 (.f64 i #s(literal -1/4 binary64)) i)
accuracy	0	(*.f64 i #s(literal -1/4 binary64))
accuracy	33.32167368034124	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 i #s(literal -1/4 binary64)) i))

Samples

47.0ms

256×

valid

Compiler

Compiled 237 to 44 computations (81.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 22.0ms (72.7% of total)

ival-div: 5.0ms (16.5% of total)

ival-sub: 1.0ms (3.3% of total)

ival-add: 1.0ms (3.3% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated

Counts

9 → 31

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

inf

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

1.0ms

-inf

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

1.0ms

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

simplify125.0ms (2.3%)

Memory

3.4MiB live, 159.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	346
1	153	346
2	372	341
3	943	329
4	2338	329
5	5266	329
0	8269	318

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

rewrite315.0ms (5.8%)

Memory

-30.3MiB live, 298.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	90
0	30	84
1	121	81
2	955	77
0	9187	77

Stop Event

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

Counts

9 → 897

Calls

Call 1

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

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

eval87.0ms (1.6%)

Memory: 5.8MiB live, 197.0MiB allocated
Compiler: Compiled 17 197 to 2 103 computations (87.8% saved)

prune15.0ms (0.3%)

Memory

21.2MiB live, 60.5MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	820	0	820
Fresh	0	0	0
Picked	0	3	3
Done	0	4	4
Total	820	7	827

Accuracy

100.0%

Counts

827 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.1%	(/.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)))
✓	75.3%	(.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))) (*.f64 i i))
✓	75.9%	(.f64 (.f64 i (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))) i)
✓	51.9%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
✓	48.1%	#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)))
✓	47.9%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 i #s(literal -1/4 binary64)) i))
✓	52.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 386 to 134 computations (65.3% saved)

regimes9.0ms (0.2%)

Memory

-23.1MiB live, 15.5MiB allocated

Counts

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

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

Calls

2 calls:

5.0ms

3.0ms

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

Results

Accuracy	Segments	Branch
100.0%	2	`i`
76.1%	1	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`

Compiler

Compiled 26 to 11 computations (57.7% saved)

regimes3.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB 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 i #s(literal -1/4 binary64)) 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
98.8%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory

6.2MiB live, 6.2MiB 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 i #s(literal -1/4 binary64)) 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
98.4%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory

5.6MiB live, 5.6MiB 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 i #s(literal -1/4 binary64)) i))

Outputs

#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 i #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
98.2%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory

4.6MiB live, 4.6MiB 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:

2.0ms

Results

Accuracy	Segments	Branch
98.2%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0%)

Memory

6.3MiB live, 6.3MiB 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
52.1%	1	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`
52.1%	1	`i`

Compiler

Compiled 26 to 11 computations (57.7% saved)

bsearch2.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	140.6408626557655	1017026.7008126373

Samples

1.0ms

16×

valid

Compiler

Compiled 73 to 41 computations (43.8% saved)

Precisions

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

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch38.0ms (0.7%)

Memory

-24.3MiB live, 21.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
36.0ms	0.02585055729226404	0.6328514439092612

Samples

32.0ms

112×

valid

Compiler

Compiled 504 to 252 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 27.0ms (91.6% of total)

ival-sub: 1.0ms (3.4% of total)

ival-div: 1.0ms (3.4% 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

2.4MiB live, 2.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.02585055729226404	0.6328514439092612

Compiler

Compiled 462 to 224 computations (51.5% saved)

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.02585055729226404	0.6328514439092612

Compiler

Compiled 434 to 210 computations (51.6% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.02585055729226404	0.6328514439092612

Compiler

Compiled 434 to 210 computations (51.6% saved)

simplify47.0ms (0.9%)

Memory

8.8MiB live, 47.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	338
1	59	338
2	67	338
3	78	338
4	83	338
5	86	338
6	87	338

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 i #s(literal 200 binary64)) (.f64 (.f64 i (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64)))) i) #s(approx (/ (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 i #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 #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 200 binary64)) (.f64 (.f64 i (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64)))) 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 200 binary64)) (.f64 (.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))) i) i) #s(approx (/ (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))))
(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 (neg.f64 i) (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))))
(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 (neg.f64 i) (.f64 (fma.f64 i i #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 i #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 #s(literal -1/4 binary64) i) i)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(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)))
(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 i i) #s(literal -1/4 binary64))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

soundness1.0s (19.3%)

Memory

-13.8MiB live, 378.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	123
1	94	123
2	218	122
3	505	118
4	1055	118
5	2101	118
6	3996	118
7	6196	118
0	8150	113
0	10	63
0	17	47
1	75	41
2	653	29
0	8740	27
0	31	192
0	44	168
1	187	160
2	1552	137
0	8825	135

Stop Event

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

Compiler

Compiled 440 to 108 computations (75.5% saved)

preprocess135.0ms (2.5%)

Memory: 1.0MiB live, 116.3MiB allocated
Remove: (abs i)
Compiler: Compiled 824 to 160 computations (80.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze3.0ms (0.1%)

sample1.3s (24.3%)

explain316.0ms (5.8%)

preprocess185.0ms (3.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify280.0ms (5.1%)

localize77.0ms (1.4%)

series6.0ms (0.1%)

simplify229.0ms (4.2%)

rewrite161.0ms (3%)

eval79.0ms (1.5%)

prune13.0ms (0.2%)

simplify150.0ms (2.8%)

localize195.0ms (3.6%)

series7.0ms (0.1%)

simplify103.0ms (1.9%)

rewrite145.0ms (2.7%)

eval87.0ms (1.6%)

prune32.0ms (0.6%)

simplify139.0ms (2.6%)

localize60.0ms (1.1%)

series5.0ms (0.1%)

simplify125.0ms (2.3%)

rewrite315.0ms (5.8%)

eval87.0ms (1.6%)

prune15.0ms (0.3%)

regimes9.0ms (0.2%)

regimes3.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0%)

bsearch2.0ms (0%)

bsearch38.0ms (0.7%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify47.0ms (0.9%)

soundness1.0s (19.3%)

preprocess135.0ms (2.5%)

end0.0ms (0%)

Profiling