Metrics for Falkner and Boettcher, Equation (22+)

analyze5.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
50%	25%	25%	0%	0%	50%	0%	4
75%	37.5%	12.5%	0%	0%	50%	0%	5
87.5%	43.7%	6.2%	0%	0%	50%	0%	6
93.8%	46.9%	3.1%	0%	0%	50%	0%	7
96.9%	48.4%	1.6%	0%	0%	50%	0%	8
98.4%	49.2%	0.8%	0%	0%	50%	0%	9
99.2%	49.6%	0.4%	0%	0%	50%	0%	10
99.6%	49.8%	0.2%	0%	0%	50%	0%	11
99.8%	49.9%	0.1%	0%	0%	50%	0%	12

Compiler

Compiled 22 to 17 computations (22.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 1.0ms (37.6% of total)

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

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

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

const: 0.0ms (0% of total)

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

sample1.6s (19.6%)

Results

1.3s	8256×	0	valid
1.0ms	15×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 658.0ms

ival-mult: 320.0ms (48.6% of total)

ival-sub: 131.0ms (19.9% of total)

ival-sqrt: 69.0ms (10.5% of total)

ival-div: 61.0ms (9.3% of total)

ival-pi: 47.0ms (7.1% of total)

const: 25.0ms (3.8% of total)

backward-pass: 4.0ms (0.6% of total)

Bogosity

preprocess0.0ms (0%)

explain233.0ms (2.8%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(PI.f64)`
-	-	`(.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))`
-	-	`(-.f64 #s(literal 1 binary64) (*.f64 v v))`
-	-	`(.f64 #s(literal 6 binary64) (.f64 v v))`
-	-	`(-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))`
-	-	`#s(literal 2 binary64)`
-	-	`v`
-	-	`#s(literal 6 binary64)`
-	-	`(*.f64 #s(literal 3 binary64) (PI.f64))`
-	-	`(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))`
-	-	`(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))`
-	-	`(sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))`
-	-	`#s(literal 4 binary64)`
-	-	`#s(literal 1 binary64)`
-	-	`#s(literal 3 binary64)`
-	-	`(*.f64 v v)`

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.5%	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))

Status

Accuracy

Program

▶

98.5%

(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))

Results

153.0ms

512×

256

valid

Compiler

Compiled 216 to 138 computations (36.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 104.0ms

ival-mult: 53.0ms (51% of total)

ival-sub: 25.0ms (24.1% of total)

ival-sqrt: 14.0ms (13.5% of total)

ival-div: 5.0ms (4.8% of total)

const: 5.0ms (4.8% of total)

ival-pi: 2.0ms (1.9% of total)

localize114.0ms (1.4%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	100.0%	(.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓	100.0%	(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))
✓	99.7%	(.f64 #s(literal 6 binary64) (.f64 v v))
✓	98.5%	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))

Results

83.0ms

256×

256

valid

Compiler

Compiled 87 to 53 computations (39.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 26.0ms (52.8% of total)

ival-sub: 10.0ms (20.3% of total)

ival-sqrt: 6.0ms (12.2% of total)

ival-div: 3.0ms (6.1% of total)

const: 3.0ms (6.1% of total)

ival-pi: 1.0ms (2% of total)

rewrite399.0ms (4.8%)

Algorithm

1×	batch-egg-rewrite

Rules

4520×	`-lowering-.f32`
4520×	`-lowering-.f64`
4088×	`accelerator-lowering-fma.f32`
4088×	`accelerator-lowering-fma.f64`
2364×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	98
1	81	95
2	511	95
3	4711	95
0	8471	95

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 269

Calls

Call 1

Inputs
(/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))
(* 6 (* v v))
(* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))
(* (* 3 (PI)) (- 1 (* v v)))

Outputs
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -4/3 binary64) (.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (.f64 v v)))) (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))) #s(literal 1/2 binary64))))
(.f64 #s(literal 4 binary64) (.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (PI.f64)) (+.f64 #s(literal 1 binary64) (.f64 v v))) (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (+.f64 #s(literal 1 binary64) (.f64 v v))) (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))))
(.f64 (.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (+.f64 #s(literal 1 binary64) (.f64 v v))) (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (PI.f64) #s(literal -3 binary64)))))
(.f64 (.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (PI.f64)) (+.f64 #s(literal 1 binary64) (.f64 v v))) (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))) #s(literal 4 binary64))
(.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (+.f64 #s(literal 1 binary64) (.f64 v v))) (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -4/3 binary64) (.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (.f64 v v)))) (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal 1/2 binary64))))
(.f64 (/.f64 #s(literal -4/3 binary64) (.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (.f64 v v)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal 1/2 binary64)))))
(.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (PI.f64)) (+.f64 #s(literal 1 binary64) (.f64 v v))) (.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))))
(.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (PI.f64) #s(literal -3 binary64)))) #s(literal -4 binary64))
(.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (+.f64 #s(literal 1 binary64) (.f64 v v))))
(.f64 (/.f64 #s(literal 1/3 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 4 binary64)))))
(.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 v v)))))
(.f64 (.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1/3 binary64) (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 v v))))
(.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))) #s(literal 1/4 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (PI.f64)) (+.f64 #s(literal 1 binary64) (.f64 v v))) (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (+.f64 #s(literal 1 binary64) (.f64 v v))) (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (+.f64 #s(literal 1 binary64) (.f64 v v))) (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))
(.f64 (/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (+.f64 #s(literal 1 binary64) (.f64 v v))) (pow.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal 216 binary64)))) #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 v v) (+.f64 (.f64 (.f64 v v) #s(literal 36 binary64)) #s(literal 12 binary64)))) #s(literal 1/2 binary64)))
(.f64 (/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (+.f64 #s(literal 1 binary64) (.f64 v v))) (pow.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal -36 binary64))) #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 v (.f64 v #s(literal 6 binary64)))) #s(literal 1/2 binary64)))
(.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 v (.f64 (.f64 v v) (.f64 v (.f64 v v))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (+.f64 #s(literal 1 binary64) (.f64 v v)))))
(.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v (.f64 v (.f64 v v)))))) (+.f64 #s(literal 1 binary64) (.f64 v v)))
(.f64 (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v (.f64 v (.f64 v v)))))) (+.f64 #s(literal 1 binary64) (.f64 v v)))
(.f64 (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (+.f64 #s(literal 1 binary64) (.f64 v (.f64 (.f64 v v) (.f64 v (.f64 v v))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (+.f64 #s(literal 1 binary64) (.f64 v v)))))
(/.f64 #s(literal 4 binary64) (.f64 #s(literal 3 binary64) (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))) #s(literal 1/2 binary64)) (.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (.f64 v v))))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 v v))) (/.f64 #s(literal 4/3 binary64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (+.f64 #s(literal 1 binary64) (.f64 v v))) (.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)))))
(/.f64 #s(literal -4 binary64) (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))) #s(literal 1/2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (PI.f64) #s(literal -3 binary64)))))
(/.f64 (.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (PI.f64)) (+.f64 #s(literal 1 binary64) (.f64 v v))) (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))) #s(literal 1/4 binary64))
(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (+.f64 #s(literal 1 binary64) (.f64 v v))) (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal 1/2 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (+.f64 #s(literal 1 binary64) (.f64 v v))) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (+.f64 #s(literal 1 binary64) (.f64 v v))) (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)))))
(/.f64 (/.f64 #s(literal -4/3 binary64) (.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (.f64 v v)))) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))) #s(literal 1/2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (PI.f64)) (+.f64 #s(literal 1 binary64) (.f64 v v))) (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (.f64 (.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 3/4 binary64)))
(/.f64 (/.f64 #s(literal 1/3 binary64) (PI.f64)) (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 v v)) #s(literal 4 binary64))))
(/.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))) #s(literal 1/2 binary64)) (.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 v v))))
(/.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (.f64 v v))) (.f64 #s(literal 3 binary64) (.f64 (PI.f64) (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (+.f64 #s(literal 1 binary64) (.f64 v v))))
(/.f64 (.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) #s(literal 1 binary64)) (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (.f64 v v))) #s(literal 1 binary64)) (.f64 #s(literal 3 binary64) (.f64 (PI.f64) (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (-.f64 #s(literal 0 binary64) (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 v v)))))
(/.f64 (neg.f64 (.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (PI.f64) #s(literal -3 binary64))))
(/.f64 (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 v v)))) (*.f64 #s(literal 3 binary64) (PI.f64)))
(/.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal -4/3 binary64) (.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (.f64 v v))))) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal 1/2 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 4/3 binary64) (PI.f64))) (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)))) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (+.f64 #s(literal 1 binary64) (.f64 v v))) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))) #s(literal 1/2 binary64)))
(/.f64 (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) #s(literal 4 binary64)) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (+.f64 #s(literal 1 binary64) (.f64 v v))))
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(/.f64 (neg.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v (.f64 v (.f64 v v)))))) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 v v)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (+.f64 #s(literal 1 binary64) (.f64 v (.f64 (.f64 v v) (.f64 v (.f64 v v))))))) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 v v) (+.f64 #s(literal 1 binary64) (.f64 v v))))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 27 binary64)) (.f64 (.f64 (.f64 v (.f64 (.f64 v v) (.f64 v (.f64 v v)))) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) #s(literal 27 binary64))) (+.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 #s(literal 3 binary64) (PI.f64))) (-.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 0 binary64) (.f64 v v))) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 0 binary64) (.f64 v v)))) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 0 binary64) (*.f64 v v)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 #s(literal 3 binary64) (PI.f64))) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 0 binary64) (.f64 v v))) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 0 binary64) (.f64 v v))))) (-.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 0 binary64) (.f64 v v)))))
(/.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (+.f64 #s(literal -1 binary64) (.f64 v (.f64 (.f64 v v) (.f64 v (.f64 v v)))))) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 v v) (+.f64 #s(literal 1 binary64) (.f64 v v))))))
(/.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (+.f64 #s(literal -1 binary64) (.f64 v (.f64 v (.f64 v v))))) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 v v)) #s(literal -1 binary64)))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 v (.f64 (.f64 v v) (.f64 v (.f64 v v))))) (.f64 #s(literal 3 binary64) (PI.f64))) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 v v) (+.f64 #s(literal 1 binary64) (.f64 v v))))))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 v (.f64 v (.f64 v v)))) (.f64 #s(literal 3 binary64) (PI.f64))) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 v v)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v (.f64 v (.f64 v v)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (+.f64 #s(literal 1 binary64) (.f64 v v)))) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (+.f64 #s(literal 1 binary64) (.f64 v (.f64 (.f64 v v) (.f64 v (.f64 v v))))))) #s(literal -1 binary64))
(fma.f64 #s(literal 3 binary64) (PI.f64) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 0 binary64) (*.f64 v v))))
(fma.f64 #s(literal 3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (.f64 v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))
(fma.f64 (PI.f64) #s(literal 3 binary64) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 0 binary64) (*.f64 v v))))
(fma.f64 (PI.f64) (.f64 #s(literal 3 binary64) (-.f64 #s(literal 0 binary64) (.f64 v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))
(fma.f64 (.f64 #s(literal 3 binary64) (PI.f64)) #s(literal 1 binary64) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 0 binary64) (.f64 v v))))
(fma.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 0 binary64) (.f64 v v)) (*.f64 #s(literal 3 binary64) (PI.f64)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 0 binary64) (.f64 v v))))
(fma.f64 v (.f64 (-.f64 #s(literal 0 binary64) v) (.f64 #s(literal 3 binary64) (PI.f64))) (*.f64 #s(literal 3 binary64) (PI.f64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 v v)) (.f64 #s(literal 3 binary64) (PI.f64)) (*.f64 #s(literal 3 binary64) (PI.f64)))
(fma.f64 (-.f64 #s(literal 0 binary64) v) (.f64 v (.f64 #s(literal 3 binary64) (PI.f64))) (*.f64 #s(literal 3 binary64) (PI.f64)))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 v v) (.f64 #s(literal 3 binary64) (PI.f64))) (.f64 #s(literal 3 binary64) (PI.f64)))
(fma.f64 (.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (.f64 v v))) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (PI.f64)))
(fma.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 v v)) #s(literal 3 binary64)) (PI.f64) (*.f64 #s(literal 3 binary64) (PI.f64)))
(fma.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) v) (-.f64 #s(literal 0 binary64) v) (*.f64 #s(literal 3 binary64) (PI.f64)))
(fma.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 0 binary64) v)) v (*.f64 #s(literal 3 binary64) (PI.f64)))
(fma.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) #s(literal -1 binary64)) (.f64 v v) (.f64 #s(literal 3 binary64) (PI.f64)))

eval147.0ms (1.8%)

Compiler: Compiled 7834 to 4905 computations (37.4% saved)

prune43.0ms (0.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	264	5	269
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	264	6	270

Accuracy

100.0%

Counts

270 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.2%	(/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (.f64 (.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 3/4 binary64)))
▶	98.7%	(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v v)))
▶	98.5%	(/.f64 #s(literal 4 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v (.f64 v (.f64 v v)))) (.f64 #s(literal 3 binary64) (.f64 (PI.f64) (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 v v))))
▶	98.5%	(/.f64 #s(literal 4 binary64) (.f64 (+.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 0 binary64) (.f64 v v))) (.f64 #s(literal 3 binary64) (PI.f64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))))))
✓	98.5%	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
▶	100.0%	(.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v (.f64 v (.f64 v v)))))) (+.f64 #s(literal 1 binary64) (.f64 v v)))

Compiler

Compiled 275 to 198 computations (28% saved)

localize643.0ms (7.8%)

Localize:

Found 20 expressions with local error:

New	Accuracy	Program
✓	99.9%	(.f64 v (.f64 v (*.f64 v v)))
✓	99.9%	(.f64 v (.f64 v v))
✓	99.7%	(.f64 (.f64 v v) #s(literal -6 binary64))
✓	98.5%	(/.f64 #s(literal 4 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v (.f64 v (.f64 v v)))) (.f64 #s(literal 3 binary64) (.f64 (PI.f64) (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 v v))))
✓	100.0%	(.f64 (+.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 0 binary64) (.f64 v v))) (.f64 #s(literal 3 binary64) (PI.f64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v)))))
✓	99.7%	(.f64 #s(literal 6 binary64) (.f64 v v))
✓	99.6%	(.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 0 binary64) (*.f64 v v)))
✓	98.5%	(/.f64 #s(literal 4 binary64) (.f64 (+.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 0 binary64) (.f64 v v))) (.f64 #s(literal 3 binary64) (PI.f64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))))))
✓	100.0%	(.f64 (.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 3/4 binary64))
✓	100.0%	(.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (.f64 v v)))
✓	99.7%	(.f64 (.f64 v v) #s(literal -6 binary64))
✓	98.5%	(/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (.f64 (.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 3/4 binary64)))
✓	100.0%	(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v v)))
✓	100.0%	(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))) #s(literal 1/2 binary64)))
✓	99.7%	(.f64 (.f64 v v) #s(literal -6 binary64))
✓	98.4%	(/.f64 #s(literal 4/3 binary64) (PI.f64))
✓	99.9%	(.f64 v (.f64 v (*.f64 v v)))
✓	99.9%	(.f64 v (.f64 v v))
✓	99.7%	(.f64 (.f64 v v) #s(literal -6 binary64))
✓	98.4%	(/.f64 #s(literal 4/3 binary64) (PI.f64))

Results

444.0ms

256×

256

valid

Compiler

Compiled 546 to 291 computations (46.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 349.0ms

ival-mult: 113.0ms (32.3% of total)

ival-pow: 105.0ms (30.1% of total)

ival-add: 49.0ms (14% of total)

ival-div: 30.0ms (8.6% of total)

ival-sub: 30.0ms (8.6% of total)

const: 16.0ms (4.6% of total)

ival-sqrt: 6.0ms (1.7% of total)

ival-pi: 1.0ms (0.3% of total)

rewrite615.0ms (7.5%)

Algorithm

1×	batch-egg-rewrite

Rules

5248×	`/-lowering-/.f32`
5248×	`/-lowering-/.f64`
4750×	`-lowering-.f32`
4750×	`-lowering-.f64`
4434×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	375
1	244	337
2	1819	337
0	8309	337

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 901

Calls

Call 1

Inputs
(/ 4/3 (PI))
(* (* v v) -6)
(* v (* v v))
(* v (* v (* v v)))
(/ 4/3 (PI))
(* (* v v) -6)
(/ (/ 4/3 (PI)) (pow (+ 2 (* (* v v) -6)) 1/2))
(/ (/ (/ 4/3 (PI)) (pow (+ 2 (* (* v v) -6)) 1/2)) (+ 1 (* v v)))
(/ (pow (+ 2 (* (* v v) -6)) -1/2) (* (* (PI) (+ 1 (* v v))) 3/4))
(* (* v v) -6)
(* (PI) (+ 1 (* v v)))
(* (* (PI) (+ 1 (* v v))) 3/4)
(/ 4 (* (+ (* (* 3 (PI)) (- 0 (* v v))) (* 3 (PI))) (sqrt (- 2 (* 6 (* v v))))))
(* (* 3 (PI)) (- 0 (* v v)))
(* 6 (* v v))
(* (+ (* (* 3 (PI)) (- 0 (* v v))) (* 3 (PI))) (sqrt (- 2 (* 6 (* v v)))))
(/ 4 (/ (* (- 1 (* v (* v (* v v)))) (* 3 (* (PI) (pow (+ 2 (* (* v v) -6)) 1/2)))) (+ 1 (* v v))))
(* (* v v) -6)
(* v (* v v))
(* v (* v (* v v)))

Outputs
(*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
(*.f64 #s(literal -4/3 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4/3 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -4/3 binary64) (PI.f64)))
(/.f64 #s(literal 4/3 binary64) (PI.f64))
(/.f64 #s(literal 4/3 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 3/4 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (PI.f64) #s(literal 3/4 binary64)))))
(/.f64 #s(literal -4/3 binary64) (-.f64 #s(literal 0 binary64) (PI.f64)))
(/.f64 #s(literal -4/3 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (PI.f64) #s(literal 3/4 binary64))))
(pow.f64 (*.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) #s(literal 3/4 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 v (.f64 v #s(literal 6 binary64))))
(.f64 v (.f64 v #s(literal -6 binary64)))
(.f64 (.f64 v v) #s(literal -6 binary64))
(.f64 #s(literal -6 binary64) (.f64 v v))
(.f64 (.f64 v (-.f64 #s(literal 0 binary64) v)) #s(literal 6 binary64))
(.f64 #s(literal 6 binary64) (.f64 v (-.f64 #s(literal 0 binary64) v)))
(.f64 (.f64 v #s(literal 6 binary64)) (-.f64 #s(literal 0 binary64) v))
(.f64 (.f64 v #s(literal -6 binary64)) v)
(.f64 #s(literal -1 binary64) (.f64 v (*.f64 v #s(literal 6 binary64))))
(.f64 (neg.f64 (.f64 v #s(literal 6 binary64))) v)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal 216 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64)) (.f64 #s(literal 0 binary64) (.f64 v (*.f64 v #s(literal 6 binary64)))))))
(neg.f64 (.f64 v (.f64 v #s(literal 6 binary64))))
(.f64 v (.f64 v v))
(.f64 (.f64 v v) v)
(.f64 (.f64 v (*.f64 v v)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 v #s(literal 3/2 binary64)) (pow.f64 v #s(literal 3/2 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (.f64 v (*.f64 v v)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) v) #s(literal 3/2 binary64)) (pow.f64 v #s(literal 3/2 binary64)))
(pow.f64 v #s(literal 3 binary64))
(pow.f64 (*.f64 v v) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 v #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 v)) #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 v) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 v)) #s(literal 3/2 binary64)))
(+.f64 (.f64 v (.f64 v (*.f64 v v))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (.f64 v (.f64 v (*.f64 v v))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 v (.f64 v (.f64 v v)))) (/.f64 (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)))) (.f64 (.f64 v v) (*.f64 v (-.f64 #s(literal 0 binary64) v)))))
(-.f64 (/.f64 (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)))) (-.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (-.f64 (.f64 v (.f64 v (*.f64 v v))) #s(literal 0 binary64))))
(.f64 v (.f64 v (*.f64 v v)))
(.f64 (.f64 v v) (*.f64 v v))
(.f64 (.f64 v (*.f64 v v)) v)
(.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 v (.f64 v (.f64 v v))))
(.f64 (.f64 v (-.f64 #s(literal 0 binary64) v)) (*.f64 v (-.f64 #s(literal 0 binary64) v)))
(.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)))) (.f64 #s(literal 0 binary64) (.f64 v (.f64 v (*.f64 v v))))))))
(.f64 (+.f64 (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 v (.f64 v (*.f64 v v))) #s(literal 0 binary64))))))
(.f64 (-.f64 (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 v (.f64 v (*.f64 v v))) #s(literal 0 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (*.f64 v (-.f64 #s(literal 0 binary64) v)))))
(.f64 (.f64 #s(literal 1 binary64) v) (.f64 v (.f64 v v)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 v (.f64 v v))) v)
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) v) #s(literal 2 binary64)) (*.f64 v v))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)))) (.f64 #s(literal 0 binary64) (.f64 v (.f64 v (.f64 v v)))))) (+.f64 #s(literal 0 binary64) (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 0 binary64)))) (+.f64 (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))))) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 0 binary64)) (-.f64 (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)))) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 v v) (.f64 v (-.f64 #s(literal 0 binary64) v))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)))))))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)))))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)))) (.f64 #s(literal 0 binary64) (.f64 v (.f64 v (.f64 v v)))))))
(/.f64 (+.f64 (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))))) #s(literal 0 binary64)) (+.f64 (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 0 binary64)))))
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(.f64 #s(literal -6 binary64) (.f64 v v))
(.f64 (.f64 v (-.f64 #s(literal 0 binary64) v)) #s(literal 6 binary64))
(.f64 #s(literal 6 binary64) (.f64 v (-.f64 #s(literal 0 binary64) v)))
(.f64 (.f64 v #s(literal 6 binary64)) (-.f64 #s(literal 0 binary64) v))
(.f64 (.f64 v #s(literal -6 binary64)) v)
(.f64 #s(literal -1 binary64) (.f64 v (*.f64 v #s(literal 6 binary64))))
(.f64 (neg.f64 (.f64 v #s(literal 6 binary64))) v)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal 216 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64)) (.f64 #s(literal 0 binary64) (.f64 v (*.f64 v #s(literal 6 binary64)))))))
(neg.f64 (.f64 v (.f64 v #s(literal 6 binary64))))
(.f64 v (.f64 v v))
(.f64 (.f64 v v) v)
(.f64 (.f64 v (*.f64 v v)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 v #s(literal 3/2 binary64)) (pow.f64 v #s(literal 3/2 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (.f64 v (*.f64 v v)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) v) #s(literal 3/2 binary64)) (pow.f64 v #s(literal 3/2 binary64)))
(pow.f64 v #s(literal 3 binary64))
(pow.f64 (*.f64 v v) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 v #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 v)) #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 v) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 v)) #s(literal 3/2 binary64)))
(+.f64 (.f64 v (.f64 v (*.f64 v v))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (.f64 v (.f64 v (*.f64 v v))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 v (.f64 v (.f64 v v)))) (/.f64 (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)))) (.f64 (.f64 v v) (*.f64 v (-.f64 #s(literal 0 binary64) v)))))
(-.f64 (/.f64 (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)))) (-.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (-.f64 (.f64 v (.f64 v (*.f64 v v))) #s(literal 0 binary64))))
(.f64 v (.f64 v (*.f64 v v)))
(.f64 (.f64 v v) (*.f64 v v))
(.f64 (.f64 v (*.f64 v v)) v)
(.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 v (.f64 v (.f64 v v))))
(.f64 (.f64 v (-.f64 #s(literal 0 binary64) v)) (*.f64 v (-.f64 #s(literal 0 binary64) v)))
(.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)))) (.f64 #s(literal 0 binary64) (.f64 v (.f64 v (*.f64 v v))))))))
(.f64 (+.f64 (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 v (.f64 v (*.f64 v v))) #s(literal 0 binary64))))))
(.f64 (-.f64 (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 v (.f64 v (*.f64 v v))) #s(literal 0 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (*.f64 v (-.f64 #s(literal 0 binary64) v)))))
(.f64 (.f64 #s(literal 1 binary64) v) (.f64 v (.f64 v v)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 v (.f64 v v))) v)
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) v) #s(literal 2 binary64)) (*.f64 v v))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)))) (.f64 #s(literal 0 binary64) (.f64 v (.f64 v (.f64 v v)))))) (+.f64 #s(literal 0 binary64) (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 0 binary64)))) (+.f64 (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))))) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 0 binary64)) (-.f64 (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)))) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 v v) (.f64 v (-.f64 #s(literal 0 binary64) v))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)))))))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)))))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)))) (.f64 #s(literal 0 binary64) (.f64 v (.f64 v (.f64 v v)))))))
(/.f64 (+.f64 (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))))) #s(literal 0 binary64)) (+.f64 (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 0 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)))) #s(literal 0 binary64)) (-.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))))) (.f64 (.f64 v v) (.f64 v (-.f64 #s(literal 0 binary64) v))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)))))) (neg.f64 (.f64 (.f64 v v) (.f64 v (-.f64 #s(literal 0 binary64) v)))))
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))))))) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)))) (.f64 #s(literal 0 binary64) (.f64 v (.f64 v (.f64 v v))))))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))))) #s(literal 0 binary64))) (neg.f64 (+.f64 (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 0 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)))) #s(literal 0 binary64))) (neg.f64 (-.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 0 binary64))))
(pow.f64 v #s(literal 4 binary64))
(pow.f64 (*.f64 v v) #s(literal 2 binary64))
(pow.f64 (*.f64 v (-.f64 #s(literal 0 binary64) v)) #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 v)))
(exp.f64 (*.f64 (log.f64 v) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 v)) #s(literal 2 binary64)))
(fma.f64 v (.f64 v (.f64 v v)) #s(literal 0 binary64))
(fma.f64 (.f64 v v) (.f64 v v) #s(literal 0 binary64))
(fma.f64 (.f64 v (.f64 v v)) v #s(literal 0 binary64))
(fma.f64 (.f64 v (.f64 v (*.f64 v v))) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 v (.f64 v (*.f64 v v))) #s(literal 0 binary64))
(fma.f64 (.f64 v (-.f64 #s(literal 0 binary64) v)) (.f64 v (-.f64 #s(literal 0 binary64) v)) #s(literal 0 binary64))
(fma.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)))) (.f64 #s(literal 0 binary64) (.f64 v (.f64 v (.f64 v v))))))) #s(literal 0 binary64))
(fma.f64 (+.f64 (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 0 binary64))))) #s(literal 0 binary64))
(fma.f64 (-.f64 (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (.f64 v (-.f64 #s(literal 0 binary64) v)))) #s(literal 0 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) v) (.f64 v (*.f64 v v)) #s(literal 0 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 v (*.f64 v v))) v #s(literal 0 binary64))
(fma.f64 (pow.f64 (.f64 #s(literal 1 binary64) v) #s(literal 2 binary64)) (.f64 v v) #s(literal 0 binary64))

eval983.0ms (12%)

Compiler: Compiled 39337 to 23568 computations (40.1% saved)

prune135.0ms (1.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	1189	6	1195
Fresh	0	0	0
Picked	4	1	5
Done	0	1	1
Total	1193	8	1201

Accuracy

100.0%

Counts

1201 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.2%	(/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (.f64 (+.f64 (.f64 (PI.f64) (*.f64 v v)) (PI.f64)) #s(literal 3/4 binary64)))
✓	97.2%	(/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (.f64 (.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 3/4 binary64)))
▶	100.0%	(/.f64 (/.f64 #s(literal 4 binary64) (.f64 (+.f64 (.f64 v (-.f64 #s(literal 0 binary64) v)) #s(literal 1 binary64)) (.f64 (PI.f64) #s(literal 3 binary64)))) (pow.f64 (+.f64 (.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
▶	98.7%	(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (pow.f64 (+.f64 (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 v v)))
▶	98.5%	(/.f64 (.f64 #s(literal 4 binary64) (pow.f64 (+.f64 (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (.f64 (+.f64 (.f64 v (-.f64 #s(literal 0 binary64) v)) #s(literal 1 binary64)) (.f64 (PI.f64) #s(literal 3 binary64))))
▶	98.5%	(/.f64 #s(literal 4 binary64) (.f64 (+.f64 (neg.f64 (.f64 (.f64 (PI.f64) #s(literal 3 binary64)) (.f64 v v))) (.f64 #s(literal 3 binary64) (PI.f64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))))))
✓	98.5%	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
	100.0%	(.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (.f64 v v) #s(literal 1 binary64)) (.f64 (.f64 (PI.f64) (pow.f64 (+.f64 (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v (.f64 v (*.f64 v v)))))))

Compiler

Compiled 325 to 249 computations (23.4% saved)

localize618.0ms (7.5%)

Localize:

Found 19 expressions with local error:

New	Accuracy	Program
✓	100.0%	(pow.f64 (+.f64 (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal -1/2 binary64))
✓	100.0%	(.f64 (+.f64 (.f64 v (-.f64 #s(literal 0 binary64) v)) #s(literal 1 binary64)) (*.f64 (PI.f64) #s(literal 3 binary64)))
✓	99.8%	(.f64 v (.f64 v #s(literal -6 binary64)))
✓	98.5%	(/.f64 (.f64 #s(literal 4 binary64) (pow.f64 (+.f64 (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (.f64 (+.f64 (.f64 v (-.f64 #s(literal 0 binary64) v)) #s(literal 1 binary64)) (.f64 (PI.f64) #s(literal 3 binary64))))
✓	100.0%	(.f64 (+.f64 (neg.f64 (.f64 (.f64 (PI.f64) #s(literal 3 binary64)) (.f64 v v))) (.f64 #s(literal 3 binary64) (PI.f64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v)))))
✓	99.7%	(.f64 #s(literal 6 binary64) (.f64 v v))
✓	99.6%	(.f64 (.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 v v))
✓	98.5%	(/.f64 #s(literal 4 binary64) (.f64 (+.f64 (neg.f64 (.f64 (.f64 (PI.f64) #s(literal 3 binary64)) (.f64 v v))) (.f64 #s(literal 3 binary64) (PI.f64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))))))
✓	100.0%	(+.f64 (.f64 (PI.f64) (.f64 v v)) (PI.f64))
✓	99.7%	(.f64 (.f64 v v) #s(literal -6 binary64))
✓	99.7%	(.f64 (PI.f64) (.f64 v v))
✓	98.5%	(/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (.f64 (+.f64 (.f64 (PI.f64) (*.f64 v v)) (PI.f64)) #s(literal 3/4 binary64)))
✓	100.0%	(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (pow.f64 (+.f64 (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 v v)))
✓	100.0%	(/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (pow.f64 (+.f64 (.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
✓	100.0%	(.f64 (PI.f64) (pow.f64 (+.f64 (.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
✓	99.8%	(.f64 v (.f64 v #s(literal -6 binary64)))
✓	100.0%	(.f64 (+.f64 (.f64 v (-.f64 #s(literal 0 binary64) v)) #s(literal 1 binary64)) (*.f64 (PI.f64) #s(literal 3 binary64)))
✓	100.0%	(/.f64 #s(literal 4 binary64) (.f64 (+.f64 (.f64 v (-.f64 #s(literal 0 binary64) v)) #s(literal 1 binary64)) (*.f64 (PI.f64) #s(literal 3 binary64))))
✓	99.8%	(.f64 v (.f64 v #s(literal -6 binary64)))

Results

451.0ms

256×

256

valid

Compiler

Compiled 454 to 292 computations (35.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 355.0ms

ival-mult: 162.0ms (45.6% of total)

ival-pow: 78.0ms (21.9% of total)

ival-add: 52.0ms (14.6% of total)

ival-sub: 20.0ms (5.6% of total)

ival-div: 16.0ms (4.5% of total)

const: 15.0ms (4.2% of total)

ival-sqrt: 6.0ms (1.7% of total)

ival-neg: 5.0ms (1.4% of total)

ival-pi: 2.0ms (0.6% of total)

rewrite559.0ms (6.8%)

Algorithm

1×	batch-egg-rewrite

Rules

4686×	`/-lowering-/.f32`
4686×	`/-lowering-/.f64`
4590×	`accelerator-lowering-fma.f32`
4590×	`accelerator-lowering-fma.f64`
4340×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	51	401
1	279	381
2	1975	378
0	8783	378

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 1137

Calls

Call 1

Inputs
(* v (* v -6))
(/ 4 (* (+ (* v (- 0 v)) 1) (* (PI) 3)))
(* (+ (* v (- 0 v)) 1) (* (PI) 3))
(* v (* v -6))
(* (PI) (pow (+ (* v (* v -6)) 2) 1/2))
(/ 4/3 (* (PI) (pow (+ (* v (* v -6)) 2) 1/2)))
(/ (/ 4/3 (* (PI) (pow (+ (* v (* v -6)) 2) 1/2))) (+ 1 (* v v)))
(/ (pow (+ 2 (* (* v v) -6)) -1/2) (* (+ (* (PI) (* v v)) (PI)) 3/4))
(* (PI) (* v v))
(* (* v v) -6)
(+ (* (PI) (* v v)) (PI))
(/ 4 (* (+ (neg (* (* (PI) 3) (* v v))) (* 3 (PI))) (sqrt (- 2 (* 6 (* v v))))))
(* (* (PI) 3) (* v v))
(* 6 (* v v))
(* (+ (neg (* (* (PI) 3) (* v v))) (* 3 (PI))) (sqrt (- 2 (* 6 (* v v)))))
(/ (* 4 (pow (+ (* v (* v -6)) 2) -1/2)) (* (+ (* v (- 0 v)) 1) (* (PI) 3)))
(* v (* v -6))
(* (+ (* v (- 0 v)) 1) (* (PI) 3))
(pow (+ (* v (* v -6)) 2) -1/2)

Outputs
(-.f64 #s(literal 0 binary64) (.f64 v (.f64 v #s(literal 6 binary64))))
(.f64 v (.f64 v #s(literal -6 binary64)))
(.f64 #s(literal -6 binary64) (.f64 v v))
(.f64 (.f64 v #s(literal -6 binary64)) v)
(.f64 (.f64 v (-.f64 #s(literal 0 binary64) v)) #s(literal 6 binary64))
(.f64 (.f64 v v) #s(literal -6 binary64))
(.f64 #s(literal 6 binary64) (.f64 v (-.f64 #s(literal 0 binary64) v)))
(.f64 #s(literal -1 binary64) (.f64 v (*.f64 v #s(literal 6 binary64))))
(.f64 (.f64 v #s(literal 6 binary64)) (-.f64 #s(literal 0 binary64) v))
(.f64 (neg.f64 (.f64 v #s(literal 6 binary64))) v)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) #s(literal 216 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64)) (.f64 #s(literal 0 binary64) (.f64 v (*.f64 v #s(literal 6 binary64)))))))
(neg.f64 (.f64 v (.f64 v #s(literal 6 binary64))))
(.f64 #s(literal 4 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (PI.f64) #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v v))))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 4/3 binary64) (.f64 (+.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))))
(.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))))
(.f64 #s(literal 4/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 v v))) (PI.f64)))
(.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (PI.f64) #s(literal -3 binary64)))))
(.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (.f64 v v))) (/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) #s(literal -3 binary64))))
(.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (PI.f64) #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 4 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 v v)) (PI.f64)) #s(literal -3/4 binary64))))
(.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (.f64 v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal -3 binary64))))
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(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 3 binary64)) (.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))) #s(literal 27 binary64))) (+.f64 (.f64 (.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal 3 binary64))) (.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal 3 binary64)))) (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 9 binary64)) (.f64 v (.f64 v (.f64 v v)))) (.f64 (.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal 3 binary64))) (.f64 (.f64 v v) (.f64 (PI.f64) #s(literal -3 binary64)))))))
(fma.f64 (.f64 v (-.f64 #s(literal 0 binary64) v)) (.f64 (PI.f64) #s(literal 3 binary64)) (.f64 (.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 v (-.f64 #s(literal 0 binary64) v)) (.f64 (PI.f64) #s(literal 3 binary64)) (.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal 3 binary64)) (.f64 (.f64 v v) (.f64 (PI.f64) #s(literal -3 binary64))))
(fma.f64 (PI.f64) (neg.f64 (.f64 (.f64 #s(literal 3 binary64) v) v)) (.f64 (.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1 binary64)))
(fma.f64 (PI.f64) (neg.f64 (.f64 (.f64 #s(literal 3 binary64) v) v)) (.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal 3 binary64))))
(fma.f64 (PI.f64) (.f64 #s(literal 3 binary64) (.f64 v (-.f64 #s(literal 0 binary64) v))) (.f64 (.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1 binary64)))
(fma.f64 (PI.f64) (.f64 #s(literal 3 binary64) (.f64 v (-.f64 #s(literal 0 binary64) v))) (.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal 3 binary64))))
(fma.f64 #s(literal 3 binary64) (.f64 (PI.f64) (.f64 v (-.f64 #s(literal 0 binary64) v))) (.f64 (.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 3 binary64) (.f64 (PI.f64) (.f64 v (-.f64 #s(literal 0 binary64) v))) (.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal 3 binary64))))
(fma.f64 (.f64 (PI.f64) #s(literal 3 binary64)) (.f64 v (-.f64 #s(literal 0 binary64) v)) (.f64 (.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 (PI.f64) #s(literal 3 binary64)) (.f64 v (-.f64 #s(literal 0 binary64) v)) (.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal 3 binary64))))
(fma.f64 (.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1 binary64) (.f64 (.f64 v v) (.f64 (PI.f64) #s(literal -3 binary64))))
(fma.f64 (.f64 v v) (.f64 (PI.f64) #s(literal -3 binary64)) (.f64 (.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 v v) (.f64 (PI.f64) #s(literal -3 binary64)) (.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal 3 binary64))))
(fma.f64 (.f64 v (.f64 #s(literal 3 binary64) (.f64 v (PI.f64)))) #s(literal -1 binary64) (.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 v (.f64 #s(literal 3 binary64) (.f64 v (PI.f64)))) #s(literal -1 binary64) (.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 3 binary64))))
(fma.f64 #s(literal -1 binary64) (.f64 v (.f64 #s(literal 3 binary64) (.f64 v (PI.f64)))) (.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 v (.f64 #s(literal 3 binary64) (.f64 v (PI.f64)))) (.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 3 binary64))))
(fma.f64 (.f64 (PI.f64) #s(literal -3 binary64)) (.f64 v v) (.f64 (.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 (PI.f64) #s(literal -3 binary64)) (.f64 v v) (.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal 3 binary64))))
(fma.f64 (.f64 #s(literal 3 binary64) (.f64 v (PI.f64))) (-.f64 #s(literal 0 binary64) v) (.f64 (.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 3 binary64) (.f64 v (PI.f64))) (-.f64 #s(literal 0 binary64) v) (.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal 3 binary64))))
(fma.f64 (neg.f64 (PI.f64)) (.f64 (.f64 #s(literal 3 binary64) v) v) (.f64 (.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (PI.f64)) (.f64 (.f64 #s(literal 3 binary64) v) v) (.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal 3 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 9 binary64)) (.f64 v (.f64 v (.f64 v v)))) (.f64 #s(literal 0 binary64) (.f64 v (.f64 #s(literal 3 binary64) (.f64 v (PI.f64)))))))) (.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 9 binary64)) (.f64 v (.f64 v (.f64 v v)))) (.f64 #s(literal 0 binary64) (.f64 v (.f64 #s(literal 3 binary64) (.f64 v (PI.f64)))))))) (.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 3 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 9 binary64)) (.f64 v (.f64 v (.f64 v v))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 v (.f64 #s(literal 3 binary64) (.f64 v (PI.f64)))))) (.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 9 binary64)) (.f64 v (.f64 v (.f64 v v))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 v (.f64 #s(literal 3 binary64) (.f64 v (PI.f64)))))) (.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 3 binary64))))
(fma.f64 (neg.f64 (.f64 #s(literal 3 binary64) (.f64 v (PI.f64)))) v (.f64 (.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (.f64 #s(literal 3 binary64) (.f64 v (PI.f64)))) v (.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal 3 binary64))))
(fma.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (.f64 (.f64 #s(literal 3 binary64) v) v) (.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (.f64 (.f64 #s(literal 3 binary64) v) v) (.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 3 binary64))))
(fma.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal 3 binary64) (.f64 v (PI.f64)))) v (.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal 3 binary64) (.f64 v (PI.f64)))) v (.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 3 binary64))))
(fma.f64 (.f64 (.f64 (PI.f64) #s(literal -3 binary64)) v) v (.f64 (.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 (PI.f64) #s(literal -3 binary64)) v) v (.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal 3 binary64))))
(.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (+.f64 (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (pow.f64 (+.f64 (.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal -1/4 binary64)))
(.f64 (pow.f64 (+.f64 (.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) #s(literal 216 binary64)) #s(literal 8 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (*.f64 v v) #s(literal -12 binary64))))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (+.f64 (.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) #s(literal 216 binary64)) #s(literal 8 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 (.f64 v (.f64 v #s(literal -6 binary64))) (-.f64 (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (+.f64 (.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) #s(literal 216 binary64)) #s(literal 8 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 (.f64 v (.f64 v #s(literal 6 binary64))) (-.f64 #s(literal 2 binary64) (.f64 v (.f64 v #s(literal -6 binary64))))))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (+.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64)) #s(literal -4 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (.f64 v (*.f64 v #s(literal -6 binary64))))) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(pow.f64 (+.f64 (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (+.f64 (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -2 binary64))
(pow.f64 (.f64 (+.f64 (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) (+.f64 (.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) #s(literal -1/4 binary64))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (+.f64 (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))))
(exp.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (pow.f64 (+.f64 (.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal -1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) (+.f64 (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)))) #s(literal -1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 (+.f64 (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) #s(literal -1/4 binary64)) (.f64 (log.f64 (+.f64 (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) #s(literal -1/4 binary64))))
(exp.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))))))

eval631.0ms (7.7%)

Compiler: Compiled 37240 to 24606 computations (33.9% saved)

prune154.0ms (1.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	1344	1	1345
Fresh	0	1	1
Picked	4	1	5
Done	1	1	2
Total	1349	4	1353

Accuracy

100.0%

Counts

1353 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.2%	(/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (.f64 (+.f64 (.f64 (PI.f64) (*.f64 v v)) (PI.f64)) #s(literal 3/4 binary64)))
▶	100.0%	(/.f64 (/.f64 #s(literal -4/3 binary64) (.f64 (PI.f64) (pow.f64 (+.f64 (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (-.f64 (.f64 v v) #s(literal 1 binary64)))
✓	98.5%	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
▶	100.0%	(.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (.f64 v v) #s(literal 1 binary64)) (.f64 (.f64 (PI.f64) (pow.f64 (+.f64 (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v (.f64 v (*.f64 v v)))))))

Compiler

Compiled 91 to 67 computations (26.4% saved)

localize355.0ms (4.3%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 (/.f64 #s(literal -4/3 binary64) (.f64 (PI.f64) (pow.f64 (+.f64 (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (-.f64 (.f64 v v) #s(literal 1 binary64)))
✓	100.0%	(/.f64 #s(literal -4/3 binary64) (.f64 (PI.f64) (pow.f64 (+.f64 (.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
✓	100.0%	(.f64 (PI.f64) (pow.f64 (+.f64 (.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
✓	99.8%	(.f64 v (.f64 v #s(literal -6 binary64)))
✓	99.9%	(/.f64 (+.f64 (.f64 v v) #s(literal 1 binary64)) (.f64 (.f64 (PI.f64) (pow.f64 (+.f64 (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v (.f64 v (.f64 v v))))))
✓	99.9%	(.f64 v (.f64 v (*.f64 v v)))
✓	99.9%	(.f64 v (.f64 v v))
✓	99.8%	(.f64 v (.f64 v #s(literal -6 binary64)))

Results

259.0ms

256×

256

valid

Compiler

Compiled 232 to 136 computations (41.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 210.0ms

ival-mult: 76.0ms (36.2% of total)

ival-pow: 67.0ms (31.9% of total)

ival-add: 28.0ms (13.3% of total)

ival-div: 23.0ms (10.9% of total)

ival-sub: 8.0ms (3.8% of total)

const: 7.0ms (3.3% of total)

ival-pi: 1.0ms (0.5% of total)

rewrite578.0ms (7%)

Algorithm

1×	batch-egg-rewrite

Rules

4762×	`/-lowering-/.f32`
4762×	`/-lowering-/.f64`
4736×	`-lowering-.f32`
4736×	`-lowering-.f64`
3702×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	164
1	132	143
2	929	143
0	8590	143

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 413

Calls

Call 1

Inputs
(* v (* v -6))
(* v (* v v))
(* v (* v (* v v)))
(/ (+ (* v v) 1) (* (* (PI) (pow (+ (* v (* v -6)) 2) 1/2)) (- 1 (* v (* v (* v v))))))
(* v (* v -6))
(* (PI) (pow (+ (* v (* v -6)) 2) 1/2))
(/ -4/3 (* (PI) (pow (+ (* v (* v -6)) 2) 1/2)))
(/ (/ -4/3 (* (PI) (pow (+ (* v (* v -6)) 2) 1/2))) (- (* v v) 1))

Outputs
(.f64 v (.f64 v #s(literal -6 binary64)))
(.f64 #s(literal -6 binary64) (.f64 v v))
(.f64 (.f64 v #s(literal -6 binary64)) v)
(.f64 (.f64 v v) #s(literal -6 binary64))
(.f64 v (.f64 v v))
(.f64 (.f64 v v) v)
(.f64 (.f64 v (*.f64 v v)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 v (*.f64 v v)))
(*.f64 (pow.f64 v #s(literal 3/2 binary64)) (pow.f64 v #s(literal 3/2 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (.f64 v (*.f64 v v)))
(.f64 (pow.f64 (.f64 v v) #s(literal 3/4 binary64)) (pow.f64 (*.f64 v v) #s(literal 3/4 binary64)))
(pow.f64 v #s(literal 3 binary64))
(pow.f64 (*.f64 v v) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 v #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 v)) #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 v) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 v)) #s(literal 3/2 binary64)))
(.f64 v (.f64 v (*.f64 v v)))
(.f64 (.f64 v v) (*.f64 v v))
(.f64 (.f64 v (*.f64 v v)) v)
(.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 v (.f64 v (.f64 v v))))
(pow.f64 v #s(literal 4 binary64))
(pow.f64 (*.f64 v v) #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 v)))
(exp.f64 (*.f64 (log.f64 v) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 v)) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (pow.f64 (+.f64 (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (PI.f64)) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
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(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))) (/.f64 #s(literal -4/3 binary64) (PI.f64))) (.f64 (+.f64 v #s(literal -1 binary64)) (pow.f64 (+.f64 (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 4/3 binary64) (PI.f64))) (.f64 (+.f64 (.f64 v v) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 4/3 binary64) (PI.f64))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))) (/.f64 #s(literal 4/3 binary64) (PI.f64))) (.f64 (+.f64 v #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal -4/3 binary64) (pow.f64 (+.f64 (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (.f64 (+.f64 (.f64 v v) #s(literal -1 binary64)) (PI.f64)))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal -4/3 binary64) (pow.f64 (+.f64 (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (PI.f64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))) (.f64 #s(literal -4/3 binary64) (pow.f64 (+.f64 (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (*.f64 (+.f64 v #s(literal -1 binary64)) (PI.f64)))
(/.f64 (.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (pow.f64 (+.f64 (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (.f64 (+.f64 (.f64 v v) #s(literal -1 binary64)) (pow.f64 (+.f64 (.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (pow.f64 (+.f64 (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (pow.f64 (+.f64 (.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (pow.f64 (+.f64 (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (.f64 (+.f64 v #s(literal -1 binary64)) (pow.f64 (+.f64 (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (pow.f64 (+.f64 (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (+.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))))) (.f64 (+.f64 (.f64 v v) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 v v) #s(literal 1 binary64)) (+.f64 (.f64 v v) #s(literal 1 binary64)))))) (.f64 (+.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -1 binary64)) (+.f64 (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)))) (-.f64 (.f64 (+.f64 (.f64 v v) #s(literal 1 binary64)) (+.f64 (.f64 v v) #s(literal 1 binary64))) (.f64 (.f64 v (.f64 v (.f64 v v))) (+.f64 (.f64 v v) #s(literal 1 binary64)))))))
(/.f64 (.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (pow.f64 (+.f64 (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (+.f64 (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)))) (.f64 (-.f64 #s(literal -1 binary64) (.f64 v v)) (+.f64 (.f64 v v) #s(literal 1 binary64))))) (.f64 (+.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -1 binary64)) (+.f64 (.f64 v (.f64 v (.f64 v v))) (-.f64 #s(literal -1 binary64) (*.f64 v v)))))
(/.f64 (.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (pow.f64 (+.f64 (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v (.f64 v (.f64 v v))))) (.f64 (+.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (pow.f64 (+.f64 (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))))) (.f64 (+.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal -1 binary64)) (+.f64 (.f64 v (.f64 v (.f64 v v))) (-.f64 #s(literal 1 binary64) (.f64 v v)))))
(/.f64 (.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (pow.f64 (+.f64 (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))))) (.f64 (+.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 v v)))))
(/.f64 (.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (pow.f64 (+.f64 (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (+.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal -1 binary64))) (.f64 (+.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal -1 binary64)) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(/.f64 (.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (pow.f64 (+.f64 (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)))))) (.f64 (+.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal -1 binary64)) (+.f64 (+.f64 (.f64 v v) #s(literal -1 binary64)) (.f64 v (.f64 v (.f64 v (-.f64 #s(literal 0 binary64) v)))))))
(/.f64 (.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (pow.f64 (+.f64 (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (/.f64 (+.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal -1 binary64)) (+.f64 v #s(literal 1 binary64)))) (.f64 (+.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal -1 binary64)) (+.f64 v #s(literal -1 binary64))))
(/.f64 (neg.f64 (/.f64 #s(literal 4/3 binary64) (+.f64 (.f64 v v) #s(literal -1 binary64)))) (.f64 (PI.f64) (pow.f64 (+.f64 (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (+.f64 (.f64 v v) #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (/.f64 #s(literal -4/3 binary64) (+.f64 (.f64 v v) #s(literal -1 binary64)))) (.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (/.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (pow.f64 (+.f64 (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (+.f64 v #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) v))
(pow.f64 (.f64 (+.f64 (.f64 v v) #s(literal -1 binary64)) (.f64 (pow.f64 (+.f64 (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal -3/4 binary64)))) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (pow.f64 (+.f64 (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (pow.f64 (+.f64 (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) #s(literal -1 binary64))) (.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (pow.f64 (+.f64 (.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(neg.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (pow.f64 (+.f64 (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (.f64 (+.f64 (.f64 v v) #s(literal -1 binary64)) (.f64 (pow.f64 (+.f64 (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal -3/4 binary64))))))
(neg.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (+.f64 (.f64 v v) #s(literal -1 binary64))) (.f64 (PI.f64) (pow.f64 (+.f64 (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (.f64 v v) #s(literal -1 binary64)) (.f64 (pow.f64 (+.f64 (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal -3/4 binary64))))) #s(literal -1 binary64)))

eval225.0ms (2.7%)

Compiler: Compiled 14830 to 8313 computations (43.9% saved)

prune90.0ms (1.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	437	2	439
Fresh	0	0	0
Picked	2	0	2
Done	2	0	2
Total	441	2	443

Accuracy

100.0%

Counts

443 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(/.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (+.f64 (.f64 v v) #s(literal -1 binary64))) (pow.f64 (+.f64 (.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
	98.5%	(.f64 (/.f64 #s(literal -4/3 binary64) (+.f64 (.f64 v v) #s(literal -1 binary64))) (/.f64 (pow.f64 (+.f64 (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (PI.f64)))

Status

Accuracy

Program

100.0%

(/.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (+.f64 (*.f64 v v) #s(literal -1 binary64))) (pow.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))

98.5%

(*.f64 (/.f64 #s(literal -4/3 binary64) (+.f64 (*.f64 v v) #s(literal -1 binary64))) (/.f64 (pow.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (PI.f64)))

Compiler

Compiled 376 to 252 computations (33% saved)

regimes20.0ms (0.2%)

Counts

15 → 1

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal -4/3 binary64) (+.f64 (.f64 v v) #s(literal -1 binary64))) (/.f64 (pow.f64 (+.f64 (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (PI.f64)))
(/.f64 (/.f64 #s(literal -4/3 binary64) (.f64 (PI.f64) (pow.f64 (+.f64 (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (-.f64 (.f64 v v) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (pow.f64 (+.f64 (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 v v)))
(/.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (+.f64 (.f64 v v) #s(literal -1 binary64))) (pow.f64 (+.f64 (.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (.f64 (.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 3/4 binary64)))
(/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (.f64 (+.f64 (.f64 (PI.f64) (*.f64 v v)) (PI.f64)) #s(literal 3/4 binary64)))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
(/.f64 #s(literal 4 binary64) (.f64 (+.f64 (neg.f64 (.f64 (.f64 (PI.f64) #s(literal 3 binary64)) (.f64 v v))) (.f64 #s(literal 3 binary64) (PI.f64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))))))
(/.f64 (.f64 #s(literal 4 binary64) (pow.f64 (+.f64 (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (.f64 (+.f64 (.f64 v (-.f64 #s(literal 0 binary64) v)) #s(literal 1 binary64)) (.f64 (PI.f64) #s(literal 3 binary64))))
(/.f64 (/.f64 #s(literal 4 binary64) (.f64 (+.f64 (.f64 v (-.f64 #s(literal 0 binary64) v)) #s(literal 1 binary64)) (.f64 (PI.f64) #s(literal 3 binary64)))) (pow.f64 (+.f64 (.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 4 binary64) (.f64 (+.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 0 binary64) (.f64 v v))) (.f64 #s(literal 3 binary64) (PI.f64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))))))
(.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (.f64 v v) #s(literal 1 binary64)) (.f64 (.f64 (PI.f64) (pow.f64 (+.f64 (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v (.f64 v (*.f64 v v)))))))
(.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v (.f64 v (.f64 v v)))))) (+.f64 #s(literal 1 binary64) (.f64 v v)))
(/.f64 #s(literal 4 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v (.f64 v (.f64 v v)))) (.f64 #s(literal 3 binary64) (.f64 (PI.f64) (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 v v))))

Outputs
(/.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (+.f64 (.f64 v v) #s(literal -1 binary64))) (pow.f64 (+.f64 (.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))

Outputs

(/.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (+.f64 (*.f64 v v) #s(literal -1 binary64))) (pow.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))

Calls

4 calls:

9.0ms	(*.f64 v v)
4.0ms	v
2.0ms	(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))
1.0ms	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))

Results

Accuracy	Segments	Branch
100.0%	1	`v`
100.0%	1	`(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))`
100.0%	1	`(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))`
100.0%	1	`(*.f64 v v)`

Compiler

Compiled 46 to 33 computations (28.3% saved)

regimes2.0ms (0%)

Counts

3 → 1

Calls

Call 1

Inputs

(*.f64 (/.f64 #s(literal -4/3 binary64) (+.f64 (*.f64 v v) #s(literal -1 binary64))) (/.f64 (pow.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (PI.f64)))

(/.f64 (/.f64 #s(literal -4/3 binary64) (*.f64 (PI.f64) (pow.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))

(/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (pow.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 v v)))

Outputs

(/.f64 (/.f64 #s(literal -4/3 binary64) (*.f64 (PI.f64) (pow.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
100.0%	1	`v`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs

(*.f64 (/.f64 #s(literal -4/3 binary64) (+.f64 (*.f64 v v) #s(literal -1 binary64))) (/.f64 (pow.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (PI.f64)))

Outputs

(*.f64 (/.f64 #s(literal -4/3 binary64) (+.f64 (*.f64 v v) #s(literal -1 binary64))) (/.f64 (pow.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (PI.f64)))

Calls

1 calls:

0.0ms

Results

Accuracy	Segments	Branch
98.5%	1	`v`

Compiler

Compiled 2 to 1 computations (50% saved)

soundness1.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 58 to 42 computations (27.6% saved)

preprocess60.0ms (0.7%)

Compiler: Compiled 158 to 116 computations (26.6% saved)

Falkner and Boettcher, Equation (22+)

analyze5.0ms (0.1%)

sample1.6s (19.6%)

preprocess0.0ms (0%)

explain233.0ms (2.8%)

localize114.0ms (1.4%)

rewrite399.0ms (4.8%)

eval147.0ms (1.8%)

prune43.0ms (0.5%)

localize643.0ms (7.8%)

rewrite615.0ms (7.5%)

eval983.0ms (12%)

prune135.0ms (1.6%)

localize618.0ms (7.5%)

rewrite559.0ms (6.8%)

eval631.0ms (7.7%)

prune154.0ms (1.9%)

localize355.0ms (4.3%)

rewrite578.0ms (7%)

eval225.0ms (2.7%)

prune90.0ms (1.1%)

regimes20.0ms (0.2%)

regimes2.0ms (0%)

regimes1.0ms (0%)

soundness1.0ms (0%)

preprocess60.0ms (0.7%)

end0.0ms (0%)

Profiling