Metrics for Data.Colour.CIE:cieLAB from colour-2.3.3, B

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
100%	100%	0%	0%	0%	0%	0%	1

Compiler

Compiled 7 to 6 computations (14.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample670.0ms (14.8%)

Results

498.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 209.0ms

ival-div: 117.0ms (56% of total)

ival-add: 75.0ms (35.9% of total)

const: 14.0ms (6.7% of total)

backward-pass: 3.0ms (1.4% of total)

Bogosity

preprocess32.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

240×	`fnmsub-define`
240×	`fmsub-define`
240×	`fnmadd-define`
206×	`fmm-def`
116×	`sum3-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	22	15
2	38	15
3	83	15
4	208	13
5	421	13
6	653	12
7	748	12
8	805	12
9	850	12
10	886	12
11	898	12
0	5	5
1	6	5
0	6	5

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(/ (+ x 16) 116)

Outputs
(/ (+ x 16) 116)
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))

Call 2

Inputs
(/ (+ x 16) 116)
(/ (+ (neg x) 16) 116)
(neg (/ (+ (neg x) 16) 116))

Outputs
(/ (+ x 16) 116)
(fnmsub x -1/116 -4/29)
(/ (+ (neg x) 16) 116)
(fnmsub x 1/116 -4/29)
(neg (/ (+ (neg x) 16) 116))
(fnmsub x -1/116 4/29)

explain66.0ms (1.4%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`#s(literal 116 binary64)`
-	-	`(+.f64 x #s(literal 16 binary64))`
-	-	`#s(literal 16 binary64)`
-	-	`(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))`

Results

46.0ms

512×

valid

Compiler

Compiled 32 to 17 computations (46.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-div: 14.0ms (76.7% of total)

ival-add: 4.0ms (21.9% of total)

const: 1.0ms (5.5% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 6 to 5 computations (16.7% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x #s(literal 16 binary64))
✓	cost-diff	0	(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))

Rules

4×	`+-lowering-+.f64`
4×	`+-lowering-+.f32`
2×	`/-lowering-/.f32`
2×	`/-lowering-/.f64`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	6	11
0	6	11

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (+ x 16) 116)
(+ x 16)
x
16
116

Outputs
(/ (+ x 16) 116)
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
(+ x 16)
(+.f64 x #s(literal 16 binary64))
x
16
#s(literal 16 binary64)
116
#s(literal 116 binary64)

localize59.0ms (1.3%)

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal 16 binary64))
✓	accuracy	100.0%	(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))

Results

53.0ms

256×

valid

Compiler

Compiled 13 to 6 computations (53.8% saved)

Precisions

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

ival-div: 2.0ms (42.7% of total)

ival-add: 2.0ms (42.7% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series1.0ms (0%)

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (/ (+ x 16) 116)>
#<alt (+ x 16)>

Outputs
#<alt 4/29>
#<alt (+ 4/29 (* 1/116 x))>
#<alt (+ 4/29 (* 1/116 x))>
#<alt (+ 4/29 (* 1/116 x))>
#<alt (* 1/116 x)>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* 1/116 x)>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt 16>
#<alt (+ 16 x)>
#<alt (+ 16 x)>
#<alt (+ 16 x)>
#<alt x>
#<alt (* x (+ 1 (* 16 (/ 1 x))))>
#<alt (* x (+ 1 (* 16 (/ 1 x))))>
#<alt (* x (+ 1 (* 16 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 16 (/ 1 x))))>
#<alt (* x (+ 1 (* 16 (/ 1 x))))>
#<alt (* x (+ 1 (* 16 (/ 1 x))))>

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/ (+ x 16) 116)
0.0ms	x	@	-inf	(/ (+ x 16) 116)
0.0ms	x	@	0	(/ (+ x 16) 116)
0.0ms	x	@	-inf	(+ x 16)
0.0ms	x	@	inf	(+ x 16)

rewrite548.0ms (12.1%)

Algorithm

1×	batch-egg-rewrite

Rules

5002×	`/-lowering-/.f32`
5002×	`/-lowering-/.f64`
2892×	`-lowering-.f32`
2892×	`-lowering-.f64`
1586×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	31	8
2	180	8
3	1503	7
0	8190	7

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 402

Calls

Call 1

Inputs
(/ (+ x 16) 116)
(+ x 16)

Outputs
(+.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 1/116 binary64)))
(+.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 4/29 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 116 binary64) (+.f64 x #s(literal 16 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -116 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -116 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -16 binary64))) #s(literal 116 binary64)) (/.f64 (/.f64 #s(literal 256 binary64) (+.f64 x #s(literal -16 binary64))) #s(literal 116 binary64)))
(-.f64 (/.f64 (.f64 x x) (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal -1856 binary64))) (/.f64 #s(literal 256 binary64) (+.f64 (*.f64 x #s(literal 116 binary64)) #s(literal -1856 binary64))))
(-.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) x)) #s(literal 116 binary64)) (/.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 16 binary64) x)) #s(literal 116 binary64)))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -116 binary64)) #s(literal -4/29 binary64))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 16 binary64))) #s(literal -116 binary64)) (/.f64 (/.f64 #s(literal 256 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 16 binary64))) #s(literal -116 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x x)) #s(literal -4096 binary64))) (.f64 #s(literal 116 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64)))))) (/.f64 (/.f64 #s(literal 16777216 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal -4096 binary64))) (.f64 #s(literal 116 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal -16 binary64)))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x x)) #s(literal -4096 binary64))) (.f64 #s(literal -116 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64))))))) (/.f64 (/.f64 #s(literal 16777216 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal -4096 binary64))) (.f64 #s(literal -116 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal -16 binary64))))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) #s(literal 256 binary64))))) (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal -1856 binary64))) (/.f64 (/.f64 #s(literal 16777216 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) #s(literal 256 binary64))))) (+.f64 (*.f64 x #s(literal 116 binary64)) #s(literal -1856 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) #s(literal 256 binary64))) (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal -1856 binary64))) (/.f64 (/.f64 #s(literal 65536 binary64) (+.f64 (.f64 x x) #s(literal 256 binary64))) (+.f64 (*.f64 x #s(literal 116 binary64)) #s(literal -1856 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 #s(literal 116 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64))))))) (/.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal 4096 binary64)) (neg.f64 (.f64 #s(literal 116 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 116 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64))))))) (/.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal 4096 binary64)) (.f64 #s(literal 116 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal -116 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64)))))) (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -116 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal -1856 binary64)))) (/.f64 (+.f64 (.f64 x x) #s(literal -256 binary64)) (neg.f64 (+.f64 (*.f64 x #s(literal 116 binary64)) #s(literal -1856 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 116 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 16 binary64)))) (/.f64 (+.f64 (.f64 x x) #s(literal -256 binary64)) (*.f64 #s(literal 116 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 16 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -116 binary64) (+.f64 x #s(literal -16 binary64)))) (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -116 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 #s(literal 116 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64))))) (+.f64 (.f64 x (.f64 x x)) #s(literal -4096 binary64)))) (/.f64 #s(literal 16777216 binary64) (.f64 (.f64 #s(literal 116 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64))))) (+.f64 (.f64 x (*.f64 x x)) #s(literal -4096 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal -1856 binary64)) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) #s(literal 256 binary64)))))) (/.f64 #s(literal 16777216 binary64) (.f64 (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal -1856 binary64)) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 65536 binary64) (.f64 (*.f64 x x) #s(literal 256 binary64)))))))
(-.f64 (/.f64 #s(literal 256 binary64) (.f64 #s(literal 116 binary64) (-.f64 #s(literal 16 binary64) x))) (/.f64 (.f64 x x) (*.f64 #s(literal 116 binary64) (-.f64 #s(literal 16 binary64) x))))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal -1856 binary64)) (+.f64 (.f64 x x) #s(literal 256 binary64)))) (/.f64 #s(literal 65536 binary64) (.f64 (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal -1856 binary64)) (+.f64 (*.f64 x x) #s(literal 256 binary64)))))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -16 binary64))) #s(literal 116 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 256 binary64) (+.f64 x #s(literal -16 binary64))) #s(literal 116 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 x x) (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal -1856 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 256 binary64) (+.f64 (*.f64 x #s(literal 116 binary64)) #s(literal -1856 binary64))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
(neg.f64 (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -116 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -116 binary64))))
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
(/.f64 (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 1/116 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal -16 binary64) x) #s(literal -116 binary64))
(/.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal 4096 binary64)) (.f64 #s(literal 116 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64))))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal 4096 binary64)) (.f64 #s(literal -116 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 116 binary64) (+.f64 x #s(literal 16 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -116 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64)))))) (+.f64 (.f64 x (.f64 x x)) #s(literal 4096 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 116 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64)))))) (+.f64 #s(literal -4096 binary64) (.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -116 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64))))) (+.f64 #s(literal -4096 binary64) (.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 116 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 16 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) #s(literal -256 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -116 binary64) (+.f64 x #s(literal -16 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) #s(literal -256 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 116 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 #s(literal 16777216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -4096 binary64))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))) #s(literal 68719476736 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 116 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64))))) (+.f64 (.f64 x (.f64 x x)) #s(literal -4096 binary64))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -16777216 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal -1856 binary64)) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) #s(literal 256 binary64))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -16777216 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 116 binary64) (-.f64 #s(literal 16 binary64) x)) (-.f64 #s(literal 256 binary64) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal -1856 binary64)) (+.f64 (.f64 x x) #s(literal 256 binary64))) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -65536 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 116 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64))))) (.f64 #s(literal 1 binary64) (+.f64 (.f64 x (*.f64 x x)) #s(literal 4096 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal -1856 binary64)) (.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -256 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64)))) (.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal 4096 binary64)) #s(literal 116 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -16 binary64)) (.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) #s(literal -256 binary64)) #s(literal 116 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64))))) (.f64 #s(literal 1/116 binary64) (+.f64 #s(literal -4096 binary64) (.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 16 binary64)) (.f64 #s(literal 1/116 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) #s(literal -256 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 16 binary64) x) (.f64 #s(literal 1/116 binary64) (-.f64 #s(literal 256 binary64) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64))))) (.f64 (+.f64 #s(literal -4096 binary64) (.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x)))) #s(literal 1/116 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 16 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) #s(literal -256 binary64))) #s(literal 1/116 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 16 binary64) x) (.f64 (-.f64 #s(literal 256 binary64) (.f64 x x)) #s(literal 1/116 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64))))) (.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal 4096 binary64)) #s(literal -1/116 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 16 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal -256 binary64)) #s(literal -1/116 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64)))) (.f64 (+.f64 #s(literal -4096 binary64) (.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x)))) #s(literal -1/116 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -16 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) #s(literal -256 binary64))) #s(literal -1/116 binary64))))
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simplify35.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

72×	`-lowering-.f32`
72×	`-lowering-.f64`
64×	`fma-define`
52×	`fma-lowering-fma.f32`
52×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	82
1	42	73
2	81	73
3	175	73
4	177	73
5	184	73
6	189	73
7	189	73
0	189	73

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

Calls

Call 1

Inputs
4/29
(+ 4/29 (* 1/116 x))
(+ 4/29 (* 1/116 x))
(+ 4/29 (* 1/116 x))
(* 1/116 x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* 1/116 x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
16
(+ 16 x)
(+ 16 x)
(+ 16 x)
x
(* x (+ 1 (* 16 (/ 1 x))))
(* x (+ 1 (* 16 (/ 1 x))))
(* x (+ 1 (* 16 (/ 1 x))))
x
(* x (+ 1 (* 16 (/ 1 x))))
(* x (+ 1 (* 16 (/ 1 x))))
(* x (+ 1 (* 16 (/ 1 x))))

Outputs
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 1/116 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(+ 4/29 (* 1/116 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(+ 4/29 (* 1/116 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
16
#s(literal 16 binary64)
(+ 16 x)
(+.f64 x #s(literal 16 binary64))
(+ 16 x)
(+.f64 x #s(literal 16 binary64))
(+ 16 x)
(+.f64 x #s(literal 16 binary64))
x
(* x (+ 1 (* 16 (/ 1 x))))
(+.f64 x #s(literal 16 binary64))
(* x (+ 1 (* 16 (/ 1 x))))
(+.f64 x #s(literal 16 binary64))
(* x (+ 1 (* 16 (/ 1 x))))
(+.f64 x #s(literal 16 binary64))
x
(* x (+ 1 (* 16 (/ 1 x))))
(+.f64 x #s(literal 16 binary64))
(* x (+ 1 (* 16 (/ 1 x))))
(+.f64 x #s(literal 16 binary64))
(* x (+ 1 (* 16 (/ 1 x))))
(+.f64 x #s(literal 16 binary64))

eval49.0ms (1.1%)

Compiler: Compiled 11040 to 1261 computations (88.6% saved)

prune53.0ms (1.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	421	5	426
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	421	6	427

Accuracy

100.0%

Counts

427 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.9%	(/.f64 (/.f64 (-.f64 #s(literal 256 binary64) (*.f64 x x)) (-.f64 #s(literal 16 binary64) x)) #s(literal 116 binary64))
✓	100.0%	(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
▶	52.6%	(/.f64 x #s(literal 116 binary64))
▶	100.0%	(-.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))
▶	52.5%	(*.f64 #s(literal 1/116 binary64) x)
▶	48.9%	#s(literal 4/29 binary64)

Compiler

Compiled 62 to 49 computations (21% saved)

simplify152.0ms (3.4%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(-.f64 #s(literal 256 binary64) (*.f64 x x))
✓	cost-diff	(/.f64 (-.f64 #s(literal 256 binary64) (*.f64 x x)) (-.f64 #s(literal 16 binary64) x))
✓	cost-diff	(/.f64 (/.f64 (-.f64 #s(literal 256 binary64) (*.f64 x x)) (-.f64 #s(literal 16 binary64) x)) #s(literal 116 binary64))
✓	cost-diff	(/.f64 x #s(literal 116 binary64))
✓	cost-diff	(*.f64 #s(literal 1/116 binary64) x)
✓	cost-diff	(/.f64 x #s(literal -116 binary64))
✓	cost-diff	(-.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))

Rules

2174×	`sum3-define`
1862×	`fnmadd-define`
1490×	`fma-define`
1420×	`fmsub-define`
1412×	`fnmsub-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	16	53
1	31	53
2	65	53
3	125	52
4	262	51
5	632	51
6	1910	51
7	5516	51
8	7046	51
9	7814	51
0	8009	51

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- 4/29 (/ x -116))
4/29
(/ x -116)
x
-116
4/29
(* 1/116 x)
1/116
x
(/ x 116)
x
116
(/ (/ (- 256 (* x x)) (- 16 x)) 116)
(/ (- 256 (* x x)) (- 16 x))
(- 256 (* x x))
256
(* x x)
x
(- 16 x)
16
116

Outputs
(- 4/29 (/ x -116))
(+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal 116 binary64)))
4/29
#s(literal 4/29 binary64)
(/ x -116)
(/.f64 x #s(literal -116 binary64))
x
-116
#s(literal -116 binary64)
4/29
#s(literal 4/29 binary64)
(* 1/116 x)
(/.f64 x #s(literal 116 binary64))
1/116
#s(literal 1/116 binary64)
x
(/ x 116)
(/.f64 x #s(literal 116 binary64))
x
116
#s(literal 116 binary64)
(/ (/ (- 256 (* x x)) (- 16 x)) 116)
(/.f64 (-.f64 #s(literal 256 binary64) (.f64 x x)) (.f64 #s(literal -116 binary64) (+.f64 x #s(literal -16 binary64))))
(/ (- 256 (* x x)) (- 16 x))
(/.f64 (-.f64 #s(literal 256 binary64) (*.f64 x x)) (-.f64 #s(literal 16 binary64) x))
(- 256 (* x x))
(-.f64 #s(literal 256 binary64) (*.f64 x x))
256
#s(literal 256 binary64)
(* x x)
(*.f64 x x)
x
(- 16 x)
(-.f64 #s(literal 16 binary64) x)
16
#s(literal 16 binary64)
116
#s(literal 116 binary64)

localize140.0ms (3.1%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(-.f64 #s(literal 256 binary64) (*.f64 x x))
✓	accuracy	100.0%	(/.f64 (/.f64 (-.f64 #s(literal 256 binary64) (*.f64 x x)) (-.f64 #s(literal 16 binary64) x)) #s(literal 116 binary64))
✓	accuracy	75.9%	(/.f64 (-.f64 #s(literal 256 binary64) (*.f64 x x)) (-.f64 #s(literal 16 binary64) x))
✓	accuracy	100.0%	(/.f64 x #s(literal 116 binary64))
✓	accuracy	99.8%	(*.f64 #s(literal 1/116 binary64) x)
✓	accuracy	100.0%	(/.f64 x #s(literal -116 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))

Results

104.0ms

256×

valid

Compiler

Compiled 59 to 17 computations (71.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-div: 8.0ms (33.5% of total)

...c/correct-round.rkt:119:19: 8.0ms (33.5% of total)

ival-sub: 4.0ms (16.8% of total)

ival-mult: 4.0ms (16.8% of total)

const: 1.0ms (4.2% of total)

backward-pass: 0.0ms (0% of total)

series8.0ms (0.2%)

Counts

8 → 96

Calls

Call 1

Inputs
#<alt (- 4/29 (/ x -116))>
#<alt (/ x -116)>
#<alt (* 1/116 x)>
#<alt (/ x 116)>
#<alt (/ (/ (- 256 (* x x)) (- 16 x)) 116)>
#<alt (/ (- 256 (* x x)) (- 16 x))>
#<alt (- 256 (* x x))>
#<alt (* x x)>

Outputs
#<alt 4/29>
#<alt (+ 4/29 (* 1/116 x))>
#<alt (+ 4/29 (* 1/116 x))>
#<alt (+ 4/29 (* 1/116 x))>
#<alt (* 1/116 x)>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* 1/116 x)>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* -1/116 x)>
#<alt (* -1/116 x)>
#<alt (* -1/116 x)>
#<alt (* -1/116 x)>
#<alt (* -1/116 x)>
#<alt (* -1/116 x)>
#<alt (* -1/116 x)>
#<alt (* -1/116 x)>
#<alt (* -1/116 x)>
#<alt (* -1/116 x)>
#<alt (* -1/116 x)>
#<alt (* -1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt 4/29>
#<alt (+ 4/29 (* 1/116 x))>
#<alt (+ 4/29 (* 1/116 x))>
#<alt (+ 4/29 (* 1/116 x))>
#<alt (* 1/116 x)>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* 1/116 x)>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt 16>
#<alt (+ 16 x)>
#<alt (+ 16 x)>
#<alt (+ 16 x)>
#<alt x>
#<alt (* x (+ 1 (* 16 (/ 1 x))))>
#<alt (* x (+ 1 (* 16 (/ 1 x))))>
#<alt (* x (+ 1 (* 16 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 16 (/ 1 x))))>
#<alt (* x (+ 1 (* 16 (/ 1 x))))>
#<alt (* x (+ 1 (* 16 (/ 1 x))))>
#<alt 256>
#<alt (+ 256 (* -1 (pow x 2)))>
#<alt (+ 256 (* -1 (pow x 2)))>
#<alt (+ 256 (* -1 (pow x 2)))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 1))>
#<alt (* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 1))>
#<alt (* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 1))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 1))>
#<alt (* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 1))>
#<alt (* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 1))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(/ x -116)
1.0ms	x	@	inf	(* x x)
0.0ms	x	@	0	(/ (/ (- 256 (* x x)) (- 16 x)) 116)
0.0ms	x	@	inf	(/ x -116)
0.0ms	x	@	inf	(/ (/ (- 256 (* x x)) (- 16 x)) 116)

rewrite340.0ms (7.5%)

Algorithm

1×	batch-egg-rewrite

Rules

5008×	`-lowering-.f32`
5008×	`-lowering-.f64`
4664×	`/-lowering-/.f32`
4664×	`/-lowering-/.f64`
1380×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	33
1	98	28
2	725	26
0	8535	26

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 729

Calls

Call 1

Inputs
(- 4/29 (/ x -116))
(/ x -116)
(* 1/116 x)
(/ x 116)
(/ (/ (- 256 (* x x)) (- 16 x)) 116)
(/ (- 256 (* x x)) (- 16 x))
(- 256 (* x x))
(* x x)

Outputs
(+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal 116 binary64)))
(+.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 4/29 binary64))
(+.f64 (/.f64 #s(literal 64/24389 binary64) (+.f64 #s(literal 16/841 binary64) (/.f64 (+.f64 (/.f64 x #s(literal 116 binary64)) #s(literal -4/29 binary64)) (/.f64 #s(literal 116 binary64) x)))) (neg.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal -1560896 binary64)) (+.f64 #s(literal 16/841 binary64) (/.f64 (+.f64 (/.f64 x #s(literal 116 binary64)) #s(literal -4/29 binary64)) (/.f64 #s(literal 116 binary64) x))))))
(+.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))) (neg.f64 (/.f64 (.f64 x x) (.f64 (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64))) #s(literal 13456 binary64)))))
(+.f64 (/.f64 #s(literal 64/29 binary64) (-.f64 #s(literal 16 binary64) x)) (neg.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 1856 binary64) (.f64 #s(literal -116 binary64) x)))))
(+.f64 (/.f64 #s(literal 64/29 binary64) (-.f64 #s(literal 16 binary64) x)) (.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal -16 binary64))) #s(literal 1/116 binary64)))
(+.f64 (.f64 #s(literal 1/116 binary64) (/.f64 #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) x))) (.f64 #s(literal 1/116 binary64) (/.f64 (*.f64 x x) (+.f64 x #s(literal -16 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -116 binary64) (-.f64 #s(literal -16 binary64) x))) #s(literal -1 binary64)))
(-.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -116 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 x #s(literal -116 binary64)) #s(literal 4/29 binary64)))
(-.f64 (/.f64 #s(literal 64/24389 binary64) (+.f64 #s(literal 16/841 binary64) (/.f64 (+.f64 (/.f64 x #s(literal 116 binary64)) #s(literal -4/29 binary64)) (/.f64 #s(literal 116 binary64) x)))) (/.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal -1560896 binary64)) (+.f64 #s(literal 16/841 binary64) (/.f64 (+.f64 (/.f64 x #s(literal 116 binary64)) #s(literal -4/29 binary64)) (/.f64 #s(literal 116 binary64) x)))))
(-.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))) (/.f64 (.f64 x x) (.f64 (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64))) #s(literal 13456 binary64))))
(-.f64 (/.f64 #s(literal 64/29 binary64) (-.f64 #s(literal 16 binary64) x)) (/.f64 (.f64 x x) (+.f64 #s(literal 1856 binary64) (.f64 #s(literal -116 binary64) x))))
(-.f64 (/.f64 (/.f64 #s(literal 16777216 binary64) (+.f64 #s(literal 65536 binary64) (.f64 x (.f64 x (+.f64 #s(literal 256 binary64) (.f64 x x)))))) (+.f64 #s(literal 1856 binary64) (.f64 #s(literal -116 binary64) x))) (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 65536 binary64) (.f64 x (.f64 x (+.f64 #s(literal 256 binary64) (.f64 x x)))))) (+.f64 #s(literal 1856 binary64) (*.f64 #s(literal -116 binary64) x))))
(-.f64 (/.f64 (/.f64 #s(literal 65536 binary64) (+.f64 #s(literal 256 binary64) (.f64 x x))) (+.f64 #s(literal 1856 binary64) (.f64 #s(literal -116 binary64) x))) (/.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 256 binary64) (.f64 x x))) (+.f64 #s(literal 1856 binary64) (*.f64 #s(literal -116 binary64) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -116 binary64) (-.f64 #s(literal 16 binary64) x))) (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -116 binary64)))
(-.f64 (/.f64 #s(literal 16777216 binary64) (.f64 #s(literal 116 binary64) (.f64 (-.f64 #s(literal 16 binary64) x) (+.f64 #s(literal 65536 binary64) (.f64 x (.f64 x (+.f64 #s(literal 256 binary64) (.f64 x x)))))))) (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 116 binary64) (.f64 (-.f64 #s(literal 16 binary64) x) (+.f64 #s(literal 65536 binary64) (.f64 x (.f64 x (+.f64 #s(literal 256 binary64) (*.f64 x x)))))))))
(-.f64 (/.f64 #s(literal 65536 binary64) (.f64 (-.f64 #s(literal 16 binary64) x) (.f64 #s(literal 116 binary64) (+.f64 #s(literal 256 binary64) (.f64 x x))))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (-.f64 #s(literal 16 binary64) x) (.f64 #s(literal 116 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x x))))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/116 binary64) #s(literal 4/29 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 x #s(literal 116 binary64)) #s(literal 4/29 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 x #s(literal -116 binary64)) #s(literal 4/29 binary64))
(neg.f64 (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -116 binary64)))
(neg.f64 (*.f64 (-.f64 #s(literal -16 binary64) x) #s(literal 1/116 binary64)))
(neg.f64 (*.f64 #s(literal 1/116 binary64) (-.f64 #s(literal -16 binary64) x)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -116 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 64/24389 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal -1560896 binary64))) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 x #s(literal 116 binary64)) #s(literal -4/29 binary64)) (/.f64 #s(literal 116 binary64) x))) #s(literal -16/841 binary64))))
(neg.f64 (/.f64 (+.f64 #s(literal 16/841 binary64) (/.f64 x (/.f64 #s(literal -13456 binary64) x))) (+.f64 (/.f64 x #s(literal 116 binary64)) #s(literal -4/29 binary64))))
(neg.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -256 binary64)) (+.f64 #s(literal 1856 binary64) (.f64 #s(literal -116 binary64) x))))
(neg.f64 (/.f64 (.f64 (+.f64 (.f64 x x) #s(literal -256 binary64)) #s(literal 1/116 binary64)) (-.f64 #s(literal 16 binary64) x)))
(neg.f64 (/.f64 (+.f64 #s(literal -64/24389 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal -1560896 binary64))) (+.f64 #s(literal 16/841 binary64) (/.f64 (+.f64 (/.f64 x #s(literal 116 binary64)) #s(literal -4/29 binary64)) (/.f64 #s(literal 116 binary64) x)))))
(neg.f64 (/.f64 (+.f64 #s(literal -16/841 binary64) (/.f64 x (/.f64 #s(literal 13456 binary64) x))) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))))
(/.f64 #s(literal 1/116 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 16 binary64))))
(/.f64 (-.f64 #s(literal 256 binary64) (.f64 x x)) (+.f64 #s(literal 1856 binary64) (.f64 #s(literal -116 binary64) x)))
(/.f64 (-.f64 #s(literal 256 binary64) (.f64 x x)) (.f64 #s(literal -116 binary64) (+.f64 x #s(literal -16 binary64))))
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
(/.f64 (-.f64 #s(literal -16 binary64) x) #s(literal -116 binary64))
(/.f64 (+.f64 (.f64 x x) #s(literal -256 binary64)) (.f64 #s(literal -116 binary64) (-.f64 #s(literal 16 binary64) x)))
(/.f64 (-.f64 #s(literal 64/24389 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal -1560896 binary64))) (+.f64 #s(literal 16/841 binary64) (/.f64 (+.f64 (/.f64 x #s(literal 116 binary64)) #s(literal -4/29 binary64)) (/.f64 #s(literal 116 binary64) x))))
(/.f64 (-.f64 #s(literal 16777216 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 #s(literal 116 binary64) (.f64 (-.f64 #s(literal 16 binary64) x) (+.f64 #s(literal 65536 binary64) (.f64 x (.f64 x (+.f64 #s(literal 256 binary64) (.f64 x x))))))))
(/.f64 (-.f64 #s(literal 16777216 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (+.f64 #s(literal 1856 binary64) (.f64 #s(literal -116 binary64) x)) (+.f64 #s(literal 65536 binary64) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (-.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 256 binary64))))))
(/.f64 (-.f64 #s(literal 16777216 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 #s(literal 116 binary64) (.f64 (+.f64 #s(literal 65536 binary64) (.f64 x (.f64 x (+.f64 #s(literal 256 binary64) (.f64 x x))))) (-.f64 #s(literal 16 binary64) x))))
(/.f64 (-.f64 #s(literal 16777216 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 #s(literal -116 binary64) (-.f64 #s(literal 16 binary64) x)) (+.f64 (neg.f64 (.f64 x (.f64 x (+.f64 #s(literal 256 binary64) (.f64 x x))))) #s(literal -65536 binary64))))
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(/.f64 (-.f64 #s(literal 4722366482869645213696 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (.f64 (+.f64 #s(literal 65536 binary64) (.f64 x (.f64 x (+.f64 #s(literal 256 binary64) (.f64 x x))))) (+.f64 #s(literal 281474976710656 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 16777216 binary64))))))
(/.f64 (-.f64 #s(literal 281474976710656 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (+.f64 #s(literal 65536 binary64) (.f64 x (.f64 x (+.f64 #s(literal 256 binary64) (.f64 x x))))) (+.f64 #s(literal 16777216 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))
(/.f64 (-.f64 #s(literal 281474976710656 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x x)) (+.f64 #s(literal 4294967296 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 65536 binary64))))))
(/.f64 (-.f64 #s(literal 4294967296 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x x)) (+.f64 #s(literal 65536 binary64) (.f64 x (.f64 x (.f64 x x))))))
(/.f64 (-.f64 (.f64 #s(literal 16777216 binary64) (+.f64 #s(literal 65536 binary64) (.f64 x (.f64 x (+.f64 #s(literal 256 binary64) (.f64 x x)))))) (.f64 (+.f64 #s(literal 65536 binary64) (.f64 x (.f64 x (+.f64 #s(literal 256 binary64) (.f64 x x))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (+.f64 #s(literal 65536 binary64) (.f64 x (.f64 x (+.f64 #s(literal 256 binary64) (.f64 x x))))) (+.f64 #s(literal 65536 binary64) (.f64 x (.f64 x (+.f64 #s(literal 256 binary64) (.f64 x x)))))))
(/.f64 (-.f64 (.f64 #s(literal 65536 binary64) (+.f64 #s(literal 256 binary64) (.f64 x x))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x x)) (+.f64 #s(literal 256 binary64) (.f64 x x))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 16777216 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 #s(literal 65536 binary64) (.f64 x (.f64 x (+.f64 #s(literal 256 binary64) (.f64 x x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 16777216 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (neg.f64 (+.f64 (neg.f64 (.f64 x (.f64 x (+.f64 #s(literal 256 binary64) (.f64 x x))))) #s(literal -65536 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -65536 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 256 binary64) (.f64 x x)))
(/.f64 (neg.f64 (+.f64 #s(literal -65536 binary64) (.f64 x (.f64 x (.f64 x x))))) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -256 binary64))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 16777216 binary64)) (+.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 65536 binary64) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 256 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 16777216 binary64) (+.f64 #s(literal 65536 binary64) (.f64 x (.f64 x (+.f64 #s(literal 256 binary64) (.f64 x x)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 65536 binary64) (.f64 x (.f64 x (+.f64 #s(literal 256 binary64) (.f64 x x)))))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 16777216 binary64) (+.f64 #s(literal 65536 binary64) (.f64 x (.f64 x (+.f64 #s(literal 256 binary64) (.f64 x x)))))) (/.f64 #s(literal 16777216 binary64) (+.f64 #s(literal 65536 binary64) (.f64 x (.f64 x (+.f64 #s(literal 256 binary64) (.f64 x x))))))) (+.f64 (.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 65536 binary64) (.f64 x (.f64 x (+.f64 #s(literal 256 binary64) (.f64 x x)))))) (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 65536 binary64) (.f64 x (.f64 x (+.f64 #s(literal 256 binary64) (.f64 x x))))))) (.f64 (/.f64 #s(literal 16777216 binary64) (+.f64 #s(literal 65536 binary64) (.f64 x (.f64 x (+.f64 #s(literal 256 binary64) (.f64 x x)))))) (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 65536 binary64) (.f64 x (.f64 x (+.f64 #s(literal 256 binary64) (*.f64 x x))))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 65536 binary64) (+.f64 #s(literal 256 binary64) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 256 binary64) (.f64 x x))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 65536 binary64) (+.f64 #s(literal 256 binary64) (.f64 x x))) (/.f64 #s(literal 65536 binary64) (+.f64 #s(literal 256 binary64) (.f64 x x)))) (+.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 256 binary64) (.f64 x x))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 256 binary64) (.f64 x x)))) (.f64 (/.f64 #s(literal 65536 binary64) (+.f64 #s(literal 256 binary64) (.f64 x x))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 256 binary64) (*.f64 x x)))))))
(/.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 65536 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 256 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 16777216 binary64) (+.f64 #s(literal 65536 binary64) (.f64 x (.f64 x (+.f64 #s(literal 256 binary64) (.f64 x x)))))) (/.f64 #s(literal 16777216 binary64) (+.f64 #s(literal 65536 binary64) (.f64 x (.f64 x (+.f64 #s(literal 256 binary64) (.f64 x x))))))) (.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 65536 binary64) (.f64 x (.f64 x (+.f64 #s(literal 256 binary64) (.f64 x x)))))) (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 65536 binary64) (.f64 x (.f64 x (+.f64 #s(literal 256 binary64) (.f64 x x)))))))) (+.f64 (/.f64 #s(literal 16777216 binary64) (+.f64 #s(literal 65536 binary64) (.f64 x (.f64 x (+.f64 #s(literal 256 binary64) (.f64 x x)))))) (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 65536 binary64) (.f64 x (.f64 x (+.f64 #s(literal 256 binary64) (*.f64 x x))))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 65536 binary64) (+.f64 #s(literal 256 binary64) (.f64 x x))) (/.f64 #s(literal 65536 binary64) (+.f64 #s(literal 256 binary64) (.f64 x x)))) (.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 256 binary64) (.f64 x x))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 256 binary64) (.f64 x x))))) (+.f64 (/.f64 #s(literal 65536 binary64) (+.f64 #s(literal 256 binary64) (.f64 x x))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 256 binary64) (*.f64 x x)))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 16777216 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1 binary64)) (+.f64 (neg.f64 (.f64 x (.f64 x (+.f64 #s(literal 256 binary64) (*.f64 x x))))) #s(literal -65536 binary64)))
(/.f64 (.f64 (+.f64 #s(literal -65536 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -256 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 4722366482869645213696 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 65536 binary64) (.f64 x (.f64 x (+.f64 #s(literal 256 binary64) (.f64 x x))))))) (+.f64 #s(literal 281474976710656 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 16777216 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 281474976710656 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 65536 binary64) (.f64 x (.f64 x (+.f64 #s(literal 256 binary64) (.f64 x x))))))) (+.f64 #s(literal 16777216 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))
(/.f64 (.f64 (-.f64 #s(literal 281474976710656 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (.f64 x x)))) (+.f64 #s(literal 4294967296 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 65536 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 4294967296 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (.f64 x x)))) (+.f64 #s(literal 65536 binary64) (.f64 x (.f64 x (.f64 x x)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (*.f64 x x))) #s(literal -1 binary64))
(.f64 (-.f64 #s(literal 256 binary64) (.f64 x x)) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 16777216 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 65536 binary64) (.f64 x (.f64 x (+.f64 #s(literal 256 binary64) (*.f64 x x)))))))
(.f64 (-.f64 #s(literal 16777216 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 65536 binary64) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 256 binary64))))))
(.f64 (-.f64 #s(literal 16777216 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 65536 binary64) (.f64 x (.f64 x (+.f64 #s(literal 256 binary64) (.f64 x x)))))) #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (.f64 x x)))
(.f64 (-.f64 #s(literal 65536 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x x))))
(.f64 (-.f64 #s(literal 65536 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (.f64 x x))) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (+.f64 (.f64 x x) #s(literal -256 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 16777216 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (.f64 x (.f64 x (+.f64 #s(literal 256 binary64) (*.f64 x x))))) #s(literal -65536 binary64))))
(.f64 (+.f64 #s(literal -65536 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -256 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 65536 binary64) (.f64 x (.f64 x (+.f64 #s(literal 256 binary64) (.f64 x x)))))) (-.f64 #s(literal 16777216 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (.f64 x x))) (-.f64 #s(literal 65536 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (/.f64 (-.f64 #s(literal 65536 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 65536 binary64) (.f64 x (.f64 x (.f64 x x))))) (-.f64 #s(literal 256 binary64) (.f64 x x)))
(.f64 (/.f64 (-.f64 #s(literal 16777216 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 281474976710656 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 256 binary64) (.f64 x x)))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x x)) (.f64 x (.f64 x (+.f64 #s(literal 256 binary64) (.f64 x x))))))))) (+.f64 #s(literal 4294967296 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 256 binary64) (.f64 x x)))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal 256 binary64) (.f64 x x)))) #s(literal 65536 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 16777216 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (-.f64 #s(literal 4294967296 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x x)) (.f64 x (.f64 x (+.f64 #s(literal 256 binary64) (.f64 x x)))))))) (-.f64 #s(literal 65536 binary64) (.f64 x (.f64 x (+.f64 #s(literal 256 binary64) (.f64 x x))))))
(.f64 (/.f64 (-.f64 #s(literal 65536 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 16777216 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -256 binary64)))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) x)

simplify153.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

2034×	`-lowering-.f32`
2034×	`-lowering-.f64`
1426×	`sum3-define`
1204×	`/-lowering-/.f32`
1204×	`/-lowering-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	341
1	68	291
2	135	291
3	304	291
4	510	291
5	699	291
6	1272	291
7	4277	291
0	8306	291

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

Inputs
4/29
(+ 4/29 (* 1/116 x))
(+ 4/29 (* 1/116 x))
(+ 4/29 (* 1/116 x))
(* 1/116 x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* 1/116 x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* -1/116 x)
(* -1/116 x)
(* -1/116 x)
(* -1/116 x)
(* -1/116 x)
(* -1/116 x)
(* -1/116 x)
(* -1/116 x)
(* -1/116 x)
(* -1/116 x)
(* -1/116 x)
(* -1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
4/29
(+ 4/29 (* 1/116 x))
(+ 4/29 (* 1/116 x))
(+ 4/29 (* 1/116 x))
(* 1/116 x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* 1/116 x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
16
(+ 16 x)
(+ 16 x)
(+ 16 x)
x
(* x (+ 1 (* 16 (/ 1 x))))
(* x (+ 1 (* 16 (/ 1 x))))
(* x (+ 1 (* 16 (/ 1 x))))
x
(* x (+ 1 (* 16 (/ 1 x))))
(* x (+ 1 (* 16 (/ 1 x))))
(* x (+ 1 (* 16 (/ 1 x))))
256
(+ 256 (* -1 (pow x 2)))
(+ 256 (* -1 (pow x 2)))
(+ 256 (* -1 (pow x 2)))
(* -1 (pow x 2))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 1))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 1))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 1))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 1))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 1))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)

Outputs
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 1/116 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(+ 4/29 (* 1/116 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(+ 4/29 (* 1/116 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(* -1/116 x)
(*.f64 x #s(literal -1/116 binary64))
(* -1/116 x)
(*.f64 x #s(literal -1/116 binary64))
(* -1/116 x)
(*.f64 x #s(literal -1/116 binary64))
(* -1/116 x)
(*.f64 x #s(literal -1/116 binary64))
(* -1/116 x)
(*.f64 x #s(literal -1/116 binary64))
(* -1/116 x)
(*.f64 x #s(literal -1/116 binary64))
(* -1/116 x)
(*.f64 x #s(literal -1/116 binary64))
(* -1/116 x)
(*.f64 x #s(literal -1/116 binary64))
(* -1/116 x)
(*.f64 x #s(literal -1/116 binary64))
(* -1/116 x)
(*.f64 x #s(literal -1/116 binary64))
(* -1/116 x)
(*.f64 x #s(literal -1/116 binary64))
(* -1/116 x)
(*.f64 x #s(literal -1/116 binary64))
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 1/116 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(+ 4/29 (* 1/116 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(+ 4/29 (* 1/116 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
16
#s(literal 16 binary64)
(+ 16 x)
(+.f64 x #s(literal 16 binary64))
(+ 16 x)
(+.f64 x #s(literal 16 binary64))
(+ 16 x)
(+.f64 x #s(literal 16 binary64))
x
(* x (+ 1 (* 16 (/ 1 x))))
(+.f64 x #s(literal 16 binary64))
(* x (+ 1 (* 16 (/ 1 x))))
(+.f64 x #s(literal 16 binary64))
(* x (+ 1 (* 16 (/ 1 x))))
(+.f64 x #s(literal 16 binary64))
x
(* x (+ 1 (* 16 (/ 1 x))))
(+.f64 x #s(literal 16 binary64))
(* x (+ 1 (* 16 (/ 1 x))))
(+.f64 x #s(literal 16 binary64))
(* x (+ 1 (* 16 (/ 1 x))))
(+.f64 x #s(literal 16 binary64))
256
#s(literal 256 binary64)
(+ 256 (* -1 (pow x 2)))
(-.f64 #s(literal 256 binary64) (*.f64 x x))
(+ 256 (* -1 (pow x 2)))
(-.f64 #s(literal 256 binary64) (*.f64 x x))
(+ 256 (* -1 (pow x 2)))
(-.f64 #s(literal 256 binary64) (*.f64 x x))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 1))
(-.f64 #s(literal 256 binary64) (*.f64 x x))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 1))
(-.f64 #s(literal 256 binary64) (*.f64 x x))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 1))
(-.f64 #s(literal 256 binary64) (*.f64 x x))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 1))
(-.f64 #s(literal 256 binary64) (*.f64 x x))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 1))
(-.f64 #s(literal 256 binary64) (*.f64 x x))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 1))
(-.f64 #s(literal 256 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

eval88.0ms (1.9%)

Compiler: Compiled 18546 to 1544 computations (91.7% saved)

prune73.0ms (1.6%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	824	1	825
Fresh	0	0	0
Picked	1	4	5
Done	0	1	1
Total	825	6	831

Accuracy

100.0%

Counts

831 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.6%	(/.f64 (/.f64 #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) x)) #s(literal 116 binary64))
✓	100.0%	(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
✓	52.6%	(/.f64 x #s(literal 116 binary64))
✓	100.0%	(-.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))
✓	52.5%	(*.f64 #s(literal 1/116 binary64) x)
✓	48.9%	#s(literal 4/29 binary64)

Compiler

Compiled 30 to 25 computations (16.7% saved)

simplify16.0ms (0.4%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 16 binary64) x)
✓	cost-diff	0	(/.f64 #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) x))
✓	cost-diff	128	(/.f64 (/.f64 #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) x)) #s(literal 116 binary64))

Rules

80×	`sum3-define`
72×	`fma-lowering-fma.f32`
72×	`fmsub-define`
72×	`fma-lowering-fma.f64`
64×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	11	17
2	27	17
3	43	17
4	72	17
5	101	17
6	170	17
7	230	17
8	274	17
9	314	17
10	325	17
11	335	17
12	343	17
0	343	17

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (/ 256 (- 16 x)) 116)
(/ 256 (- 16 x))
256
(- 16 x)
16
x
116

Outputs
(/ (/ 256 (- 16 x)) 116)
(/.f64 #s(literal 64/29 binary64) (-.f64 #s(literal 16 binary64) x))
(/ 256 (- 16 x))
(/.f64 #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) x))
256
#s(literal 256 binary64)
(- 16 x)
(-.f64 #s(literal 16 binary64) x)
16
#s(literal 16 binary64)
x
116
#s(literal 116 binary64)

localize38.0ms (0.8%)

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 16 binary64) x)
✓	accuracy	100.0%	(/.f64 #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) x))
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) x)) #s(literal 116 binary64))

Results

25.0ms

256×

valid

Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 4.0ms (60.8% of total)

ival-sub: 2.0ms (30.4% of total)

const: 1.0ms (15.2% of total)

backward-pass: 0.0ms (0% of total)

series2.0ms (0%)

Counts

3 → 36

Calls

Call 1

Inputs
#<alt (/ (/ 256 (- 16 x)) 116)>
#<alt (/ 256 (- 16 x))>
#<alt (- 16 x)>

Outputs
#<alt 4/29>
#<alt (+ 4/29 (* 1/116 x))>
#<alt (+ 4/29 (* x (+ 1/116 (* 1/1856 x))))>
#<alt (+ 4/29 (* x (+ 1/116 (* x (+ 1/1856 (* 1/29696 x))))))>
#<alt (/ -64/29 x)>
#<alt (* -1 (/ (+ 64/29 (* 1024/29 (/ 1 x))) x))>
#<alt (/ (- (* -1 (/ (+ 1024/29 (* 16384/29 (/ 1 x))) x)) 64/29) x)>
#<alt (/ (- (* -1 (/ (+ 16384/29 (* 262144/29 (/ 1 x))) (pow x 2))) (+ 64/29 (* 1024/29 (/ 1 x)))) x)>
#<alt (/ -64/29 x)>
#<alt (* -1 (/ (+ 64/29 (* 1024/29 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 64/29 (+ (* 1024/29 (/ 1 x)) (/ 16384/29 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 64/29 (* -1 (/ (- (* -1 (/ (+ 16384/29 (* 262144/29 (/ 1 x))) x)) 1024/29) x))) x))>
#<alt 16>
#<alt (+ 16 x)>
#<alt (+ 16 (* x (+ 1 (* 1/16 x))))>
#<alt (+ 16 (* x (+ 1 (* x (+ 1/16 (* 1/256 x))))))>
#<alt (/ -256 x)>
#<alt (* -1 (/ (+ 256 (* 4096 (/ 1 x))) x))>
#<alt (/ (- (* -1 (/ (+ 4096 (* 65536 (/ 1 x))) x)) 256) x)>
#<alt (/ (- (* -1 (/ (+ 65536 (* 1048576 (/ 1 x))) (pow x 2))) (+ 256 (* 4096 (/ 1 x)))) x)>
#<alt (/ -256 x)>
#<alt (* -1 (/ (+ 256 (* 4096 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 256 (+ (* 4096 (/ 1 x)) (/ 65536 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 256 (* -1 (/ (- (* -1 (/ (+ 65536 (* 1048576 (/ 1 x))) x)) 4096) x))) x))>
#<alt 16>
#<alt (+ 16 (* -1 x))>
#<alt (+ 16 (* -1 x))>
#<alt (+ 16 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (* 16 (/ 1 x)) 1))>
#<alt (* x (- (* 16 (/ 1 x)) 1))>
#<alt (* x (- (* 16 (/ 1 x)) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 16 (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (* 16 (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (* 16 (/ 1 x)))))>

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/ 256 (- 16 x))
0.0ms	x	@	inf	(/ (/ 256 (- 16 x)) 116)
0.0ms	x	@	-inf	(/ (/ 256 (- 16 x)) 116)
0.0ms	x	@	0	(/ (/ 256 (- 16 x)) 116)
0.0ms	x	@	inf	(/ 256 (- 16 x))

rewrite422.0ms (9.3%)

Algorithm

1×	batch-egg-rewrite

Rules

4624×	`/-lowering-/.f32`
4624×	`/-lowering-/.f64`
3726×	`-lowering-.f32`
3726×	`-lowering-.f64`
1408×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	43	13
2	278	13
3	2283	13
0	9298	13

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 427

Calls

Call 1

Inputs
(/ (/ 256 (- 16 x)) 116)
(/ 256 (- 16 x))
(- 16 x)

Outputs
(exp.f64 (.f64 (log.f64 (+.f64 #s(literal 29/4 binary64) (.f64 #s(literal -29/64 binary64) x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -256 binary64) (-.f64 #s(literal 16 binary64) x)) #s(literal 116 binary64)))
(neg.f64 (/.f64 (/.f64 #s(literal -256 binary64) (-.f64 #s(literal 16 binary64) x)) #s(literal 116 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal -256 binary64) (-.f64 #s(literal 16 binary64) x)) #s(literal 1/116 binary64)))
(neg.f64 (*.f64 #s(literal 1/116 binary64) (/.f64 #s(literal -256 binary64) (-.f64 #s(literal 16 binary64) x))))
(neg.f64 (/.f64 #s(literal 64/29 binary64) (+.f64 x #s(literal -16 binary64))))
(/.f64 #s(literal 256 binary64) (*.f64 (-.f64 #s(literal 16 binary64) x) #s(literal 116 binary64)))
(/.f64 #s(literal 256 binary64) (neg.f64 (+.f64 #s(literal -1856 binary64) (*.f64 x #s(literal 116 binary64)))))
(/.f64 (/.f64 #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) x)) #s(literal 116 binary64))
(/.f64 #s(literal -256 binary64) (+.f64 #s(literal -1856 binary64) (*.f64 x #s(literal 116 binary64))))
(/.f64 #s(literal -256 binary64) (neg.f64 (neg.f64 (+.f64 #s(literal -1856 binary64) (*.f64 x #s(literal 116 binary64))))))
(/.f64 (/.f64 #s(literal -256 binary64) (-.f64 #s(literal 16 binary64) x)) #s(literal -116 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 29/4 binary64) (*.f64 #s(literal -29/64 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 16 binary64) x) #s(literal 64/29 binary64)))
(/.f64 #s(literal 1/116 binary64) (-.f64 #s(literal 1/16 binary64) (/.f64 x #s(literal 256 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal 29/64 binary64) (+.f64 x #s(literal -16 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 16 binary64) x) #s(literal 64/29 binary64))))
(/.f64 #s(literal -1/116 binary64) (-.f64 #s(literal -1/16 binary64) (/.f64 x #s(literal -256 binary64))))
(/.f64 #s(literal 64/29 binary64) (-.f64 #s(literal 16 binary64) x))
(/.f64 #s(literal -64/29 binary64) (+.f64 x #s(literal -16 binary64)))
(/.f64 (/.f64 #s(literal 1/116 binary64) (-.f64 #s(literal 16 binary64) x)) #s(literal 1/256 binary64))
(/.f64 (/.f64 #s(literal 64/29 binary64) (+.f64 #s(literal 4096 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 #s(literal 16 binary64) x)))))
(/.f64 (/.f64 #s(literal 64/29 binary64) (-.f64 #s(literal 256 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) x)))
(/.f64 (neg.f64 (/.f64 #s(literal 1/116 binary64) (-.f64 #s(literal 16 binary64) x))) #s(literal -1/256 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 64/29 binary64) (+.f64 #s(literal 4096 binary64) (.f64 x (.f64 x x))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 #s(literal 16 binary64) x))))))
(/.f64 (neg.f64 (/.f64 #s(literal 64/29 binary64) (-.f64 #s(literal 256 binary64) (*.f64 x x)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) x))))
(pow.f64 (/.f64 #s(literal 64/29 binary64) (-.f64 #s(literal 16 binary64) x)) #s(literal 1 binary64))
(pow.f64 (+.f64 #s(literal 29/4 binary64) (*.f64 #s(literal -29/64 binary64) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 16 binary64) x) #s(literal 64/29 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 64/29 binary64) (-.f64 #s(literal 16 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (+.f64 #s(literal 29/4 binary64) (.f64 #s(literal -29/64 binary64) x)) (+.f64 #s(literal 29/4 binary64) (*.f64 #s(literal -29/64 binary64) x))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 #s(literal 29/4 binary64) (*.f64 #s(literal -29/64 binary64) x)))) #s(literal -1 binary64))
(*.f64 #s(literal 256 binary64) (/.f64 #s(literal 1/116 binary64) (-.f64 #s(literal 16 binary64) x)))
(.f64 #s(literal 256 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -16 binary64))) #s(literal -1/116 binary64)))
(*.f64 (/.f64 #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) x)) #s(literal 1/116 binary64))
(*.f64 (/.f64 #s(literal 64/29 binary64) (-.f64 #s(literal 16 binary64) x)) #s(literal 1 binary64))
(.f64 #s(literal -256 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1856 binary64) (.f64 x #s(literal 116 binary64)))))
(.f64 #s(literal -256 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -16 binary64))) #s(literal 1/116 binary64)))
(.f64 #s(literal -256 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) x)) #s(literal -1/116 binary64)))
(*.f64 #s(literal -256 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/116 binary64) (-.f64 #s(literal 16 binary64) x))))
(*.f64 (/.f64 #s(literal -256 binary64) (-.f64 #s(literal 16 binary64) x)) #s(literal -1/116 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 64/29 binary64) (-.f64 #s(literal 16 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) x)) #s(literal 64/29 binary64))
(*.f64 #s(literal 1/116 binary64) (/.f64 #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) x)))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -256 binary64) (-.f64 #s(literal 16 binary64) x)) #s(literal 116 binary64)))
(*.f64 #s(literal -1/116 binary64) (/.f64 #s(literal -256 binary64) (-.f64 #s(literal 16 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -16 binary64))) #s(literal -64/29 binary64))
(*.f64 #s(literal 64/29 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) x)))
(*.f64 #s(literal -64/29 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -16 binary64))))
(.f64 (/.f64 #s(literal 256 binary64) (+.f64 #s(literal 4096 binary64) (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 #s(literal 16 binary64) x))) #s(literal 1/116 binary64)))
(.f64 (/.f64 #s(literal 256 binary64) (+.f64 #s(literal 4096 binary64) (.f64 x (.f64 x x)))) (/.f64 (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 #s(literal 16 binary64) x))) #s(literal 116 binary64)))
(.f64 (/.f64 #s(literal 256 binary64) (-.f64 #s(literal 256 binary64) (.f64 x x))) (*.f64 (+.f64 #s(literal 16 binary64) x) #s(literal 1/116 binary64)))
(.f64 (/.f64 #s(literal 256 binary64) (-.f64 #s(literal 256 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal 16 binary64) x) #s(literal 116 binary64)))
(*.f64 (/.f64 #s(literal 1/116 binary64) (-.f64 #s(literal 16 binary64) x)) #s(literal 256 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 64/29 binary64) (-.f64 #s(literal 16 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 64/29 binary64) (-.f64 #s(literal 16 binary64) x)) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1/116 binary64) (/.f64 #s(literal 256 binary64) (+.f64 #s(literal 4096 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 #s(literal 16 binary64) x))))
(.f64 (.f64 #s(literal 1/116 binary64) (/.f64 #s(literal 256 binary64) (-.f64 #s(literal 256 binary64) (*.f64 x x)))) (+.f64 #s(literal 16 binary64) x))
(.f64 (/.f64 #s(literal 64/29 binary64) (+.f64 #s(literal 4096 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 #s(literal 16 binary64) x))))
(.f64 (/.f64 #s(literal 64/29 binary64) (-.f64 #s(literal 256 binary64) (.f64 x x))) (+.f64 #s(literal 16 binary64) x))
(.f64 (/.f64 #s(literal 256 binary64) (+.f64 #s(literal 475136 binary64) (.f64 #s(literal 116 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 #s(literal 16 binary64) x))))
(.f64 (/.f64 #s(literal 256 binary64) (.f64 #s(literal 116 binary64) (-.f64 #s(literal 256 binary64) (*.f64 x x)))) (+.f64 #s(literal 16 binary64) x))
(*.f64 (/.f64 #s(literal 1/116 binary64) (+.f64 x #s(literal -16 binary64))) #s(literal -256 binary64))
(.f64 (/.f64 #s(literal 1/116 binary64) (+.f64 #s(literal 4096 binary64) (.f64 x (.f64 x x)))) (.f64 #s(literal 256 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 #s(literal 16 binary64) x)))))
(.f64 (/.f64 #s(literal 1/116 binary64) (-.f64 #s(literal 256 binary64) (.f64 x x))) (+.f64 #s(literal 4096 binary64) (*.f64 #s(literal 256 binary64) x)))
(.f64 (/.f64 #s(literal 64/29 binary64) (+.f64 #s(literal -4096 binary64) (.f64 x (.f64 x x)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 #s(literal 16 binary64) x)))))
(.f64 (/.f64 #s(literal 64/29 binary64) (+.f64 #s(literal -256 binary64) (.f64 x x))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16 binary64) x)))
(.f64 (pow.f64 (.f64 #s(literal 29/64 binary64) (+.f64 #s(literal 4096 binary64) (.f64 x (.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 #s(literal 16 binary64) x))))))
(.f64 (pow.f64 (.f64 #s(literal 29/64 binary64) (-.f64 #s(literal 256 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) x))))
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(.f64 (/.f64 (+.f64 #s(literal 68719476736 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (-.f64 #s(literal 65536 binary64) (.f64 (.f64 x (+.f64 #s(literal 16 binary64) x)) (.f64 x (+.f64 #s(literal 16 binary64) x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16777216 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 4096 binary64) (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (.f64 x (+.f64 #s(literal 16 binary64) x))))))
(.f64 (/.f64 (+.f64 #s(literal 16777216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (-.f64 #s(literal 256 binary64) (/.f64 (.f64 x x) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 256 binary64) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) x))))
(.f64 (/.f64 (+.f64 #s(literal 16777216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 (-.f64 #s(literal 256 binary64) (.f64 x x)) (+.f64 #s(literal 4096 binary64) (.f64 x (.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 256 binary64) (.f64 x x))))) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 #s(literal 16 binary64) x)))))
(.f64 (/.f64 (+.f64 #s(literal 16777216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 (-.f64 #s(literal 256 binary64) (.f64 x x)) (+.f64 #s(literal -4096 binary64) (.f64 x (.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 256 binary64) (.f64 x x))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 #s(literal 16 binary64) x))))))
(.f64 (/.f64 (+.f64 #s(literal 16777216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 (-.f64 #s(literal 256 binary64) (.f64 x x)) (+.f64 #s(literal -256 binary64) (.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 256 binary64) (*.f64 x x))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16 binary64) x))))
(.f64 (/.f64 (-.f64 #s(literal 65536 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 256 binary64) (/.f64 (.f64 x x) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) x))))
(.f64 (/.f64 (-.f64 #s(literal 65536 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (-.f64 #s(literal 256 binary64) (.f64 x x)) (+.f64 #s(literal 4096 binary64) (.f64 x (.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (.f64 x x))) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 #s(literal 16 binary64) x)))))
(.f64 (/.f64 (-.f64 #s(literal 65536 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (-.f64 #s(literal 256 binary64) (.f64 x x)) (+.f64 #s(literal -4096 binary64) (.f64 x (.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (.f64 x x))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 #s(literal 16 binary64) x))))))
(.f64 (/.f64 (-.f64 #s(literal 65536 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (-.f64 #s(literal 256 binary64) (.f64 x x)) (+.f64 #s(literal -256 binary64) (.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16 binary64) x))))

simplify190.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

2362×	`fma-lowering-fma.f32`
2362×	`fma-lowering-fma.f64`
1782×	`fnmadd-define`
1668×	`fmsub-define`
1482×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	114	259
1	326	231
2	833	219
3	2176	219
4	5180	219
0	8271	219

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

Inputs
4/29
(+ 4/29 (* 1/116 x))
(+ 4/29 (* x (+ 1/116 (* 1/1856 x))))
(+ 4/29 (* x (+ 1/116 (* x (+ 1/1856 (* 1/29696 x))))))
(/ -64/29 x)
(* -1 (/ (+ 64/29 (* 1024/29 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 1024/29 (* 16384/29 (/ 1 x))) x)) 64/29) x)
(/ (- (* -1 (/ (+ 16384/29 (* 262144/29 (/ 1 x))) (pow x 2))) (+ 64/29 (* 1024/29 (/ 1 x)))) x)
(/ -64/29 x)
(* -1 (/ (+ 64/29 (* 1024/29 (/ 1 x))) x))
(* -1 (/ (+ 64/29 (+ (* 1024/29 (/ 1 x)) (/ 16384/29 (pow x 2)))) x))
(* -1 (/ (+ 64/29 (* -1 (/ (- (* -1 (/ (+ 16384/29 (* 262144/29 (/ 1 x))) x)) 1024/29) x))) x))
16
(+ 16 x)
(+ 16 (* x (+ 1 (* 1/16 x))))
(+ 16 (* x (+ 1 (* x (+ 1/16 (* 1/256 x))))))
(/ -256 x)
(* -1 (/ (+ 256 (* 4096 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 4096 (* 65536 (/ 1 x))) x)) 256) x)
(/ (- (* -1 (/ (+ 65536 (* 1048576 (/ 1 x))) (pow x 2))) (+ 256 (* 4096 (/ 1 x)))) x)
(/ -256 x)
(* -1 (/ (+ 256 (* 4096 (/ 1 x))) x))
(* -1 (/ (+ 256 (+ (* 4096 (/ 1 x)) (/ 65536 (pow x 2)))) x))
(* -1 (/ (+ 256 (* -1 (/ (- (* -1 (/ (+ 65536 (* 1048576 (/ 1 x))) x)) 4096) x))) x))
16
(+ 16 (* -1 x))
(+ 16 (* -1 x))
(+ 16 (* -1 x))
(* -1 x)
(* x (- (* 16 (/ 1 x)) 1))
(* x (- (* 16 (/ 1 x)) 1))
(* x (- (* 16 (/ 1 x)) 1))
(* -1 x)
(* -1 (* x (- 1 (* 16 (/ 1 x)))))
(* -1 (* x (- 1 (* 16 (/ 1 x)))))
(* -1 (* x (- 1 (* 16 (/ 1 x)))))

Outputs
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 1/116 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(+ 4/29 (* x (+ 1/116 (* 1/1856 x))))
(+.f64 #s(literal 4/29 binary64) (.f64 x (+.f64 #s(literal 1/116 binary64) (.f64 x #s(literal 1/1856 binary64)))))
(+ 4/29 (* x (+ 1/116 (* x (+ 1/1856 (* 1/29696 x))))))
(+.f64 #s(literal 4/29 binary64) (.f64 x (+.f64 #s(literal 1/116 binary64) (.f64 x (+.f64 #s(literal 1/1856 binary64) (*.f64 x #s(literal 1/29696 binary64)))))))
(/ -64/29 x)
(/.f64 #s(literal -64/29 binary64) x)
(* -1 (/ (+ 64/29 (* 1024/29 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -64/29 binary64) (/.f64 #s(literal -1024/29 binary64) x)) x)
(/ (- (* -1 (/ (+ 1024/29 (* 16384/29 (/ 1 x))) x)) 64/29) x)
(/.f64 (+.f64 #s(literal -64/29 binary64) (/.f64 (-.f64 #s(literal -1024/29 binary64) (/.f64 #s(literal 16384/29 binary64) x)) x)) x)
(/ (- (* -1 (/ (+ 16384/29 (* 262144/29 (/ 1 x))) (pow x 2))) (+ 64/29 (* 1024/29 (/ 1 x)))) x)
(/.f64 (+.f64 #s(literal -64/29 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -16384/29 binary64) (/.f64 #s(literal -262144/29 binary64) x)) x) #s(literal -1024/29 binary64)) x)) x)
(/ -64/29 x)
(/.f64 #s(literal -64/29 binary64) x)
(* -1 (/ (+ 64/29 (* 1024/29 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -64/29 binary64) (/.f64 #s(literal -1024/29 binary64) x)) x)
(* -1 (/ (+ 64/29 (+ (* 1024/29 (/ 1 x)) (/ 16384/29 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -64/29 binary64) (/.f64 (-.f64 #s(literal -1024/29 binary64) (/.f64 #s(literal 16384/29 binary64) x)) x)) x)
(* -1 (/ (+ 64/29 (* -1 (/ (- (* -1 (/ (+ 16384/29 (* 262144/29 (/ 1 x))) x)) 1024/29) x))) x))
(/.f64 (+.f64 #s(literal -64/29 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -16384/29 binary64) (/.f64 #s(literal -262144/29 binary64) x)) x) #s(literal -1024/29 binary64)) x)) x)
16
#s(literal 16 binary64)
(+ 16 x)
(+.f64 x #s(literal 16 binary64))
(+ 16 (* x (+ 1 (* 1/16 x))))
(+.f64 #s(literal 16 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/16 binary64)))))
(+ 16 (* x (+ 1 (* x (+ 1/16 (* 1/256 x))))))
(+.f64 #s(literal 16 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/16 binary64) (*.f64 x #s(literal 1/256 binary64)))))))
(/ -256 x)
(/.f64 #s(literal -256 binary64) x)
(* -1 (/ (+ 256 (* 4096 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -256 binary64) (/.f64 #s(literal -4096 binary64) x)) x)
(/ (- (* -1 (/ (+ 4096 (* 65536 (/ 1 x))) x)) 256) x)
(/.f64 (+.f64 #s(literal -256 binary64) (/.f64 (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal -65536 binary64) x)) x)) x)
(/ (- (* -1 (/ (+ 65536 (* 1048576 (/ 1 x))) (pow x 2))) (+ 256 (* 4096 (/ 1 x)))) x)
(/.f64 (+.f64 #s(literal -256 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -65536 binary64) (/.f64 #s(literal -1048576 binary64) x)) x) #s(literal -4096 binary64)) x)) x)
(/ -256 x)
(/.f64 #s(literal -256 binary64) x)
(* -1 (/ (+ 256 (* 4096 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -256 binary64) (/.f64 #s(literal -4096 binary64) x)) x)
(* -1 (/ (+ 256 (+ (* 4096 (/ 1 x)) (/ 65536 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -256 binary64) (/.f64 (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal -65536 binary64) x)) x)) x)
(* -1 (/ (+ 256 (* -1 (/ (- (* -1 (/ (+ 65536 (* 1048576 (/ 1 x))) x)) 4096) x))) x))
(/.f64 (+.f64 #s(literal -256 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -65536 binary64) (/.f64 #s(literal -1048576 binary64) x)) x) #s(literal -4096 binary64)) x)) x)
16
#s(literal 16 binary64)
(+ 16 (* -1 x))
(-.f64 #s(literal 16 binary64) x)
(+ 16 (* -1 x))
(-.f64 #s(literal 16 binary64) x)
(+ 16 (* -1 x))
(-.f64 #s(literal 16 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* 16 (/ 1 x)) 1))
(-.f64 #s(literal 16 binary64) x)
(* x (- (* 16 (/ 1 x)) 1))
(-.f64 #s(literal 16 binary64) x)
(* x (- (* 16 (/ 1 x)) 1))
(-.f64 #s(literal 16 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (* 16 (/ 1 x)))))
(-.f64 #s(literal 16 binary64) x)
(* -1 (* x (- 1 (* 16 (/ 1 x)))))
(-.f64 #s(literal 16 binary64) x)
(* -1 (* x (- 1 (* 16 (/ 1 x)))))
(-.f64 #s(literal 16 binary64) x)

eval56.0ms (1.2%)

Compiler: Compiled 13712 to 1775 computations (87.1% saved)

prune153.0ms (3.4%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	462	1	463
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	463	6	469

Accuracy

100.0%

Counts

469 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
✓	52.6%	(/.f64 x #s(literal 116 binary64))
▶	48.6%	(/.f64 #s(literal 64/29 binary64) (-.f64 #s(literal 16 binary64) x))
✓	100.0%	(-.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))
✓	52.5%	(*.f64 #s(literal 1/116 binary64) x)
✓	48.9%	#s(literal 4/29 binary64)

Compiler

Compiled 28 to 23 computations (17.9% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 16 binary64) x)
✓	cost-diff	0	(/.f64 #s(literal 64/29 binary64) (-.f64 #s(literal 16 binary64) x))

Rules

40×	`sum3-define`
32×	`+-lowering-+.f64`
32×	`+-lowering-+.f32`
24×	`--lowering--.f32`
24×	`--lowering--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	7	11
2	12	11
3	18	11
4	28	11
5	43	11
6	67	11
7	85	11
8	99	11
9	106	11
10	109	11
11	113	11
12	116	11
0	116	11

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ 64/29 (- 16 x))
64/29
(- 16 x)
16
x

Outputs
(/ 64/29 (- 16 x))
(/.f64 #s(literal -64/29 binary64) (+.f64 x #s(literal -16 binary64)))
64/29
#s(literal 64/29 binary64)
(- 16 x)
(-.f64 #s(literal 16 binary64) x)
16
#s(literal 16 binary64)
x

localize31.0ms (0.7%)

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 16 binary64) x)
✓	accuracy	99.9%	(/.f64 #s(literal 64/29 binary64) (-.f64 #s(literal 16 binary64) x))

Results

21.0ms

256×

valid

Compiler

Compiled 13 to 6 computations (53.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

...c/correct-round.rkt:119:19: 4.0ms (51% of total)

ival-sub: 2.0ms (25.5% of total)

ival-div: 2.0ms (25.5% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series0.0ms (0%)

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (/ 64/29 (- 16 x))>
#<alt (- 16 x)>

Outputs
#<alt 4/29>
#<alt (+ 4/29 (* 1/116 x))>
#<alt (+ 4/29 (* x (+ 1/116 (* 1/1856 x))))>
#<alt (+ 4/29 (* x (+ 1/116 (* x (+ 1/1856 (* 1/29696 x))))))>
#<alt (/ -64/29 x)>
#<alt (* -1 (/ (+ 64/29 (* 1024/29 (/ 1 x))) x))>
#<alt (/ (- (* -1 (/ (+ 1024/29 (* 16384/29 (/ 1 x))) x)) 64/29) x)>
#<alt (/ (- (* -1 (/ (+ 16384/29 (* 262144/29 (/ 1 x))) (pow x 2))) (+ 64/29 (* 1024/29 (/ 1 x)))) x)>
#<alt (/ -64/29 x)>
#<alt (* -1 (/ (+ 64/29 (* 1024/29 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 64/29 (+ (* 1024/29 (/ 1 x)) (/ 16384/29 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 64/29 (* -1 (/ (- (* -1 (/ (+ 16384/29 (* 262144/29 (/ 1 x))) x)) 1024/29) x))) x))>
#<alt 16>
#<alt (+ 16 (* -1 x))>
#<alt (+ 16 (* -1 x))>
#<alt (+ 16 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (* 16 (/ 1 x)) 1))>
#<alt (* x (- (* 16 (/ 1 x)) 1))>
#<alt (* x (- (* 16 (/ 1 x)) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 16 (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (* 16 (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (* 16 (/ 1 x)))))>

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/ 64/29 (- 16 x))
0.0ms	x	@	inf	(/ 64/29 (- 16 x))
0.0ms	x	@	-inf	(/ 64/29 (- 16 x))
0.0ms	x	@	-inf	(- 16 x)
0.0ms	x	@	inf	(- 16 x)

rewrite341.0ms (7.5%)

Algorithm

1×	batch-egg-rewrite

Rules

4228×	`/-lowering-/.f32`
4228×	`/-lowering-/.f64`
3550×	`-lowering-.f32`
3550×	`-lowering-.f64`
1520×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	31	8
2	197	8
3	1755	8
0	8975	8

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 372

Calls

Call 1

Inputs
(/ 64/29 (- 16 x))
(- 16 x)

Outputs
(+.f64 (.f64 (/.f64 #s(literal -64/29 binary64) (+.f64 #s(literal -4096 binary64) (.f64 x (.f64 x x)))) #s(literal 256 binary64)) (.f64 (/.f64 #s(literal -64/29 binary64) (+.f64 #s(literal -4096 binary64) (.f64 x (.f64 x x)))) (*.f64 x (+.f64 #s(literal 16 binary64) x))))
(+.f64 (.f64 (/.f64 #s(literal -64/29 binary64) (+.f64 #s(literal -4096 binary64) (.f64 x (.f64 x x)))) (.f64 x (+.f64 #s(literal 16 binary64) x))) (.f64 (/.f64 #s(literal -64/29 binary64) (+.f64 #s(literal -4096 binary64) (.f64 x (*.f64 x x)))) #s(literal 256 binary64)))
(+.f64 (.f64 (/.f64 #s(literal -64/29 binary64) (+.f64 #s(literal -4096 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 256 binary64) (.f64 x x))) (.f64 (/.f64 #s(literal -64/29 binary64) (+.f64 #s(literal -4096 binary64) (.f64 x (.f64 x x)))) (.f64 #s(literal 16 binary64) x)))
(+.f64 (.f64 (/.f64 #s(literal -64/29 binary64) (+.f64 #s(literal -256 binary64) (.f64 x x))) #s(literal 16 binary64)) (.f64 (/.f64 #s(literal -64/29 binary64) (+.f64 #s(literal -256 binary64) (.f64 x x))) x))
(+.f64 (.f64 (/.f64 #s(literal -64/29 binary64) (+.f64 #s(literal -256 binary64) (.f64 x x))) x) (.f64 (/.f64 #s(literal -64/29 binary64) (+.f64 #s(literal -256 binary64) (.f64 x x))) #s(literal 16 binary64)))
(+.f64 (.f64 #s(literal 256 binary64) (/.f64 #s(literal -64/29 binary64) (+.f64 #s(literal -4096 binary64) (.f64 x (.f64 x x))))) (.f64 (.f64 x (+.f64 #s(literal 16 binary64) x)) (/.f64 #s(literal -64/29 binary64) (+.f64 #s(literal -4096 binary64) (.f64 x (*.f64 x x))))))
(+.f64 (.f64 (.f64 x (+.f64 #s(literal 16 binary64) x)) (/.f64 #s(literal -64/29 binary64) (+.f64 #s(literal -4096 binary64) (.f64 x (.f64 x x))))) (.f64 #s(literal 256 binary64) (/.f64 #s(literal -64/29 binary64) (+.f64 #s(literal -4096 binary64) (.f64 x (*.f64 x x))))))
(+.f64 (.f64 (+.f64 #s(literal 256 binary64) (.f64 x x)) (/.f64 #s(literal -64/29 binary64) (+.f64 #s(literal -4096 binary64) (.f64 x (.f64 x x))))) (.f64 (.f64 #s(literal 16 binary64) x) (/.f64 #s(literal -64/29 binary64) (+.f64 #s(literal -4096 binary64) (.f64 x (.f64 x x))))))
(+.f64 (.f64 #s(literal 16 binary64) (/.f64 #s(literal -64/29 binary64) (+.f64 #s(literal -256 binary64) (.f64 x x)))) (.f64 x (/.f64 #s(literal -64/29 binary64) (+.f64 #s(literal -256 binary64) (.f64 x x)))))
(+.f64 (.f64 x (/.f64 #s(literal -64/29 binary64) (+.f64 #s(literal -256 binary64) (.f64 x x)))) (.f64 #s(literal 16 binary64) (/.f64 #s(literal -64/29 binary64) (+.f64 #s(literal -256 binary64) (.f64 x x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 29/4 binary64) (/.f64 x #s(literal 64/29 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 64/29 binary64) (+.f64 x #s(literal -16 binary64))))
(fma.f64 #s(literal 16 binary64) (/.f64 #s(literal -64/29 binary64) (+.f64 #s(literal -256 binary64) (.f64 x x))) (.f64 x (/.f64 #s(literal -64/29 binary64) (+.f64 #s(literal -256 binary64) (*.f64 x x)))))
(fma.f64 x (/.f64 #s(literal -64/29 binary64) (+.f64 #s(literal -256 binary64) (.f64 x x))) (.f64 #s(literal 16 binary64) (/.f64 #s(literal -64/29 binary64) (+.f64 #s(literal -256 binary64) (*.f64 x x)))))
(fma.f64 #s(literal 256 binary64) (/.f64 #s(literal -64/29 binary64) (+.f64 #s(literal -4096 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 x (+.f64 #s(literal 16 binary64) x)) (/.f64 #s(literal -64/29 binary64) (+.f64 #s(literal -4096 binary64) (.f64 x (.f64 x x))))))
(fma.f64 (.f64 x (+.f64 #s(literal 16 binary64) x)) (/.f64 #s(literal -64/29 binary64) (+.f64 #s(literal -4096 binary64) (.f64 x (.f64 x x)))) (.f64 #s(literal 256 binary64) (/.f64 #s(literal -64/29 binary64) (+.f64 #s(literal -4096 binary64) (.f64 x (.f64 x x))))))
(fma.f64 (+.f64 #s(literal 256 binary64) (.f64 x x)) (/.f64 #s(literal -64/29 binary64) (+.f64 #s(literal -4096 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 #s(literal 16 binary64) x) (/.f64 #s(literal -64/29 binary64) (+.f64 #s(literal -4096 binary64) (.f64 x (*.f64 x x))))))
(fma.f64 (/.f64 #s(literal -64/29 binary64) (+.f64 #s(literal -4096 binary64) (.f64 x (.f64 x x)))) #s(literal 256 binary64) (.f64 (/.f64 #s(literal -64/29 binary64) (+.f64 #s(literal -4096 binary64) (.f64 x (.f64 x x)))) (.f64 x (+.f64 #s(literal 16 binary64) x))))
(fma.f64 (/.f64 #s(literal -64/29 binary64) (+.f64 #s(literal -4096 binary64) (.f64 x (.f64 x x)))) (.f64 x (+.f64 #s(literal 16 binary64) x)) (.f64 (/.f64 #s(literal -64/29 binary64) (+.f64 #s(literal -4096 binary64) (.f64 x (.f64 x x)))) #s(literal 256 binary64)))
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(.f64 (/.f64 (+.f64 #s(literal 4096 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 65536 binary64) (.f64 x (.f64 (+.f64 #s(literal 16 binary64) x) (.f64 x (+.f64 #s(literal 16 binary64) x)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (*.f64 x (+.f64 #s(literal 16 binary64) x))))))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (.f64 x (.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 #s(literal 16 binary64) x)))))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (.f64 x (.f64 x x)))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 #s(literal 16 binary64) x))))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -256 binary64) (.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) x)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -256 binary64) (.f64 x x))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 16 binary64) x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 16 binary64) x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 #s(literal 16 binary64) x))) (+.f64 #s(literal 68719476736 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16777216 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 4096 binary64) (.f64 x (*.f64 x x)))))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 #s(literal 16 binary64) x))) (+.f64 #s(literal 16777216 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (.f64 x (*.f64 x x)))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 16 binary64) x) (+.f64 #s(literal 16777216 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 256 binary64) (*.f64 x x))))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 16 binary64) x) (-.f64 #s(literal 65536 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x x))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4096 binary64) (.f64 x (.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 #s(literal 16 binary64) x))))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -256 binary64) (.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -16 binary64))))
(.f64 (/.f64 (+.f64 #s(literal 16777216 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)))) (-.f64 #s(literal 256 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 256 binary64) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) x))))
(.f64 (/.f64 (+.f64 #s(literal 16777216 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)))) (+.f64 #s(literal 16777216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 #s(literal 16 binary64) x) (.f64 (+.f64 #s(literal 16 binary64) x) (+.f64 #s(literal 16 binary64) x)))))) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x (+.f64 #s(literal 16 binary64) x)) (-.f64 (.f64 x (+.f64 #s(literal 16 binary64) x)) #s(literal 256 binary64)))))))
(.f64 (/.f64 (+.f64 #s(literal 16777216 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)))) (-.f64 #s(literal 65536 binary64) (.f64 x (.f64 (+.f64 #s(literal 16 binary64) x) (.f64 x (+.f64 #s(literal 16 binary64) x)))))) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (.f64 x (+.f64 #s(literal 16 binary64) x))))))
(.f64 (/.f64 (+.f64 #s(literal 68719476736 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))))) (+.f64 #s(literal 16777216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 #s(literal 16 binary64) x) (.f64 (+.f64 #s(literal 16 binary64) x) (+.f64 #s(literal 16 binary64) x)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16777216 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 4096 binary64) (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x (+.f64 #s(literal 16 binary64) x)) (-.f64 (.f64 x (+.f64 #s(literal 16 binary64) x)) #s(literal 256 binary64)))))))
(.f64 (/.f64 (+.f64 #s(literal 68719476736 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))))) (-.f64 #s(literal 65536 binary64) (.f64 x (.f64 (+.f64 #s(literal 16 binary64) x) (.f64 x (+.f64 #s(literal 16 binary64) x)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16777216 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 4096 binary64) (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (.f64 x (+.f64 #s(literal 16 binary64) x))))))
(.f64 (/.f64 (+.f64 #s(literal 16777216 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 #s(literal 16 binary64) x)))))
(.f64 (/.f64 (+.f64 #s(literal 16777216 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 256 binary64) (*.f64 x x))))) (+.f64 #s(literal 16 binary64) x)))
(.f64 (/.f64 (+.f64 #s(literal 68719476736 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16777216 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 4096 binary64) (.f64 x (.f64 x x)))))) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 #s(literal 16 binary64) x)))))
(.f64 (/.f64 (+.f64 #s(literal 16777216 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)))) (/.f64 (+.f64 #s(literal -256 binary64) (.f64 x x)) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 256 binary64) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) x))))
(.f64 (/.f64 (+.f64 #s(literal 16777216 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)))) (/.f64 (-.f64 #s(literal 256 binary64) (.f64 x x)) (+.f64 #s(literal 4096 binary64) (.f64 x (.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 256 binary64) (.f64 x x))))) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 #s(literal 16 binary64) x)))))
(.f64 (/.f64 (+.f64 #s(literal 16777216 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)))) (/.f64 (-.f64 #s(literal 256 binary64) (.f64 x x)) (-.f64 #s(literal 256 binary64) (.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 256 binary64) (*.f64 x x))))) (+.f64 #s(literal 16 binary64) x)))
(.f64 (/.f64 (+.f64 #s(literal 16777216 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)))) (/.f64 (-.f64 #s(literal 256 binary64) (.f64 x x)) (+.f64 #s(literal -4096 binary64) (.f64 x (.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 256 binary64) (.f64 x x))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 #s(literal 16 binary64) x))))))
(.f64 (/.f64 (+.f64 #s(literal 16777216 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)))) (/.f64 (-.f64 #s(literal 256 binary64) (.f64 x x)) (+.f64 #s(literal -256 binary64) (.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 256 binary64) (*.f64 x x))))) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -16 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 65536 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (+.f64 #s(literal -256 binary64) (.f64 x x)) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) x))))
(.f64 (/.f64 (-.f64 #s(literal 65536 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (-.f64 #s(literal 256 binary64) (.f64 x x)) (+.f64 #s(literal 4096 binary64) (.f64 x (.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (.f64 x x))) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 #s(literal 16 binary64) x)))))
(.f64 (/.f64 (-.f64 #s(literal 65536 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (-.f64 #s(literal 256 binary64) (.f64 x x)) (-.f64 #s(literal 256 binary64) (.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x x))) (+.f64 #s(literal 16 binary64) x)))
(.f64 (/.f64 (-.f64 #s(literal 65536 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (-.f64 #s(literal 256 binary64) (.f64 x x)) (+.f64 #s(literal -4096 binary64) (.f64 x (.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (.f64 x x))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 #s(literal 16 binary64) x))))))
(.f64 (/.f64 (-.f64 #s(literal 65536 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (-.f64 #s(literal 256 binary64) (.f64 x x)) (+.f64 #s(literal -256 binary64) (.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x x))) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -16 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 65536 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x x))) (+.f64 #s(literal 16 binary64) x)))
(.f64 (/.f64 (-.f64 #s(literal 256 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal -256 binary64) (*.f64 x x)) #s(literal -1 binary64))) (-.f64 #s(literal 16 binary64) x))
(.f64 (/.f64 (-.f64 #s(literal 256 binary64) (.f64 x x)) (/.f64 (-.f64 #s(literal 256 binary64) (.f64 x x)) (+.f64 #s(literal 4096 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 #s(literal 16 binary64) x)))))
(.f64 (/.f64 (-.f64 #s(literal 256 binary64) (.f64 x x)) (/.f64 (-.f64 #s(literal 256 binary64) (.f64 x x)) (-.f64 #s(literal 256 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) x)))
(.f64 (/.f64 (-.f64 #s(literal 256 binary64) (.f64 x x)) (/.f64 (-.f64 #s(literal 256 binary64) (.f64 x x)) (+.f64 #s(literal -4096 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 #s(literal 16 binary64) x))))))
(.f64 (/.f64 (-.f64 #s(literal 256 binary64) (.f64 x x)) (/.f64 (-.f64 #s(literal 256 binary64) (.f64 x x)) (+.f64 #s(literal -256 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -16 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 65536 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 4096 binary64) (.f64 x (.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64)))))))

simplify226.0ms (5%)

Algorithm

1×	egg-herbie

Rules

1688×	`sum5-define`
1490×	`sum3-define`
1404×	`fma-define`
1388×	`-lowering-.f32`
1388×	`-lowering-.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	66	151
1	185	132
2	463	126
3	1054	126
4	2687	126
5	6514	126
0	8462	126

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 24

Calls

Call 1

Inputs
4/29
(+ 4/29 (* 1/116 x))
(+ 4/29 (* x (+ 1/116 (* 1/1856 x))))
(+ 4/29 (* x (+ 1/116 (* x (+ 1/1856 (* 1/29696 x))))))
(/ -64/29 x)
(* -1 (/ (+ 64/29 (* 1024/29 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 1024/29 (* 16384/29 (/ 1 x))) x)) 64/29) x)
(/ (- (* -1 (/ (+ 16384/29 (* 262144/29 (/ 1 x))) (pow x 2))) (+ 64/29 (* 1024/29 (/ 1 x)))) x)
(/ -64/29 x)
(* -1 (/ (+ 64/29 (* 1024/29 (/ 1 x))) x))
(* -1 (/ (+ 64/29 (+ (* 1024/29 (/ 1 x)) (/ 16384/29 (pow x 2)))) x))
(* -1 (/ (+ 64/29 (* -1 (/ (- (* -1 (/ (+ 16384/29 (* 262144/29 (/ 1 x))) x)) 1024/29) x))) x))
16
(+ 16 (* -1 x))
(+ 16 (* -1 x))
(+ 16 (* -1 x))
(* -1 x)
(* x (- (* 16 (/ 1 x)) 1))
(* x (- (* 16 (/ 1 x)) 1))
(* x (- (* 16 (/ 1 x)) 1))
(* -1 x)
(* -1 (* x (- 1 (* 16 (/ 1 x)))))
(* -1 (* x (- 1 (* 16 (/ 1 x)))))
(* -1 (* x (- 1 (* 16 (/ 1 x)))))

Outputs
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 1/116 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(+ 4/29 (* x (+ 1/116 (* 1/1856 x))))
(+.f64 #s(literal 4/29 binary64) (.f64 x (+.f64 #s(literal 1/116 binary64) (.f64 x #s(literal 1/1856 binary64)))))
(+ 4/29 (* x (+ 1/116 (* x (+ 1/1856 (* 1/29696 x))))))
(+.f64 #s(literal 4/29 binary64) (.f64 x (+.f64 #s(literal 1/116 binary64) (.f64 x (+.f64 #s(literal 1/1856 binary64) (*.f64 x #s(literal 1/29696 binary64)))))))
(/ -64/29 x)
(/.f64 #s(literal -64/29 binary64) x)
(* -1 (/ (+ 64/29 (* 1024/29 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -64/29 binary64) (/.f64 #s(literal -1024/29 binary64) x)) x)
(/ (- (* -1 (/ (+ 1024/29 (* 16384/29 (/ 1 x))) x)) 64/29) x)
(/.f64 (+.f64 #s(literal -64/29 binary64) (/.f64 (+.f64 #s(literal -1024/29 binary64) (/.f64 #s(literal -16384/29 binary64) x)) x)) x)
(/ (- (* -1 (/ (+ 16384/29 (* 262144/29 (/ 1 x))) (pow x 2))) (+ 64/29 (* 1024/29 (/ 1 x)))) x)
(/.f64 (+.f64 #s(literal -64/29 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -16384/29 binary64) (/.f64 #s(literal -262144/29 binary64) x)) x) #s(literal -1024/29 binary64)) x)) x)
(/ -64/29 x)
(/.f64 #s(literal -64/29 binary64) x)
(* -1 (/ (+ 64/29 (* 1024/29 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -64/29 binary64) (/.f64 #s(literal -1024/29 binary64) x)) x)
(* -1 (/ (+ 64/29 (+ (* 1024/29 (/ 1 x)) (/ 16384/29 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -64/29 binary64) (/.f64 (+.f64 #s(literal -1024/29 binary64) (/.f64 #s(literal -16384/29 binary64) x)) x)) x)
(* -1 (/ (+ 64/29 (* -1 (/ (- (* -1 (/ (+ 16384/29 (* 262144/29 (/ 1 x))) x)) 1024/29) x))) x))
(/.f64 (+.f64 #s(literal -64/29 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -16384/29 binary64) (/.f64 #s(literal -262144/29 binary64) x)) x) #s(literal -1024/29 binary64)) x)) x)
16
#s(literal 16 binary64)
(+ 16 (* -1 x))
(-.f64 #s(literal 16 binary64) x)
(+ 16 (* -1 x))
(-.f64 #s(literal 16 binary64) x)
(+ 16 (* -1 x))
(-.f64 #s(literal 16 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* 16 (/ 1 x)) 1))
(-.f64 #s(literal 16 binary64) x)
(* x (- (* 16 (/ 1 x)) 1))
(-.f64 #s(literal 16 binary64) x)
(* x (- (* 16 (/ 1 x)) 1))
(-.f64 #s(literal 16 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (* 16 (/ 1 x)))))
(-.f64 #s(literal 16 binary64) x)
(* -1 (* x (- 1 (* 16 (/ 1 x)))))
(-.f64 #s(literal 16 binary64) x)
(* -1 (* x (- 1 (* 16 (/ 1 x)))))
(-.f64 #s(literal 16 binary64) x)

eval48.0ms (1.1%)

Compiler: Compiled 13389 to 1350 computations (89.9% saved)

prune49.0ms (1.1%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	396	0	396
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	396	6	402

Accuracy

100.0%

Counts

402 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
✓	52.6%	(/.f64 x #s(literal 116 binary64))
✓	48.6%	(/.f64 #s(literal 64/29 binary64) (-.f64 #s(literal 16 binary64) x))
✓	100.0%	(-.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))
✓	52.5%	(*.f64 #s(literal 1/116 binary64) x)
✓	48.9%	#s(literal 4/29 binary64)

Compiler

Compiled 69 to 45 computations (34.8% saved)

regimes11.0ms (0.2%)

Counts

8 → 1

Calls

Call 1

Inputs
#s(literal 4/29 binary64)
(*.f64 #s(literal 1/116 binary64) x)
(/.f64 x #s(literal 116 binary64))
(-.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))
(/.f64 #s(literal 64/29 binary64) (-.f64 #s(literal 16 binary64) x))
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
(/.f64 (/.f64 #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) x)) #s(literal 116 binary64))
(/.f64 (/.f64 (-.f64 #s(literal 256 binary64) (*.f64 x x)) (-.f64 #s(literal 16 binary64) x)) #s(literal 116 binary64))

Outputs
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))

Calls

3 calls:

4.0ms	(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
3.0ms	x
3.0ms	(+.f64 x #s(literal 16 binary64))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))`
100.0%	1	`(+.f64 x #s(literal 16 binary64))`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

Inputs
#s(literal 4/29 binary64)
(*.f64 #s(literal 1/116 binary64) x)
(/.f64 x #s(literal 116 binary64))
(-.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))
(/.f64 #s(literal 64/29 binary64) (-.f64 #s(literal 16 binary64) x))

Outputs
(-.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
100.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

3 → 3

Calls

Call 1

Inputs
#s(literal 4/29 binary64)
(*.f64 #s(literal 1/116 binary64) x)
(/.f64 x #s(literal 116 binary64))

Outputs
(/.f64 x #s(literal 116 binary64))
#s(literal 4/29 binary64)
(/.f64 x #s(literal 116 binary64))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
97.7%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

2 → 3

Calls

Call 1

Inputs
#s(literal 4/29 binary64)
(*.f64 #s(literal 1/116 binary64) x)

Outputs
(*.f64 #s(literal 1/116 binary64) x)
#s(literal 4/29 binary64)
(*.f64 #s(literal 1/116 binary64) x)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
97.6%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 4/29 binary64)

Outputs
#s(literal 4/29 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
48.9%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch22.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.30518365890838833	645.9410449569538
10.0ms	-19.912070981437754	-0.015598077727842581

Results

12.0ms

256×

valid

Compiler

Compiled 138 to 120 computations (13% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 2.0ms (50.1% of total)

ival-add: 1.0ms (25% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch39.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
27.0ms	0.30518365890838833	645.9410449569538
10.0ms	-19.912070981437754	-0.015598077727842581

Results

29.0ms

256×

valid

Compiler

Compiled 138 to 120 computations (13% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 2.0ms (49.1% of total)

ival-add: 2.0ms (49.1% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative_binary64`
8×	`*-commutative_binary64`
8×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	37
1	27	37
2	36	37
3	42	37
4	47	37
5	49	37

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
(-.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))
(if (<=.f64 x #s(literal -16 binary64)) (/.f64 x #s(literal 116 binary64)) (if (<=.f64 x #s(literal 16 binary64)) #s(literal 4/29 binary64) (/.f64 x #s(literal 116 binary64))))
(if (<=.f64 x #s(literal -16 binary64)) (.f64 #s(literal 1/116 binary64) x) (if (<=.f64 x #s(literal 16 binary64)) #s(literal 4/29 binary64) (.f64 #s(literal 1/116 binary64) x)))
#s(literal 4/29 binary64)

Outputs
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
(-.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))
(if (<=.f64 x #s(literal -16 binary64)) (/.f64 x #s(literal 116 binary64)) (if (<=.f64 x #s(literal 16 binary64)) #s(literal 4/29 binary64) (/.f64 x #s(literal 116 binary64))))
(if (<=.f64 x #s(literal -16 binary64)) (.f64 #s(literal 1/116 binary64) x) (if (<=.f64 x #s(literal 16 binary64)) #s(literal 4/29 binary64) (.f64 #s(literal 1/116 binary64) x)))
(if (<=.f64 x #s(literal -16 binary64)) (.f64 x #s(literal 1/116 binary64)) (if (<=.f64 x #s(literal 16 binary64)) #s(literal 4/29 binary64) (.f64 x #s(literal 1/116 binary64))))
#s(literal 4/29 binary64)

soundness354.0ms (7.8%)

Rules

5002×	`/-lowering-/.f32`
5002×	`/-lowering-/.f64`
2892×	`-lowering-.f32`
2892×	`-lowering-.f64`
1586×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	82
1	42	73
2	81	73
3	175	73
4	177	73
5	184	73
6	189	73
7	189	73
0	189	73
0	5	8
1	31	8
2	180	8
3	1503	7
0	8190	7

Stop Event

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

Compiler

Compiled 62 to 36 computations (41.9% saved)

preprocess32.0ms (0.7%)

Compiler: Compiled 96 to 48 computations (50% saved)

Iter	Nodes	Cost
0	9	17
1	22	15
2	38	15
3	83	15
4	208	13
5	421	13
6	653	12
7	748	12
8	805	12
9	850	12
10	886	12
11	898	12
0	5	5
1	6	5
0	6	5

Iter	Nodes	Cost
0	7	19
1	11	17
2	27	17
3	43	17
4	72	17
5	101	17
6	170	17
7	230	17
8	274	17
9	314	17
10	325	17
11	335	17
12	343	17
0	343	17

Iter	Nodes	Cost
0	5	11
1	7	11
2	12	11
3	18	11
4	28	11
5	43	11
6	67	11
7	85	11
8	99	11
9	106	11
10	109	11
11	113	11
12	116	11
0	116	11

Iter	Nodes	Cost
0	9	17
1	22	15
2	38	15
3	83	15
4	208	13
5	421	13
6	653	12
7	748	12
8	805	12
9	850	12
10	886	12
11	898	12
0	5	5
1	6	5
0	6	5

Iter	Nodes	Cost
0	7	19
1	11	17
2	27	17
3	43	17
4	72	17
5	101	17
6	170	17
7	230	17
8	274	17
9	314	17
10	325	17
11	335	17
12	343	17
0	343	17

Iter	Nodes	Cost
0	5	11
1	7	11
2	12	11
3	18	11
4	28	11
5	43	11
6	67	11
7	85	11
8	99	11
9	106	11
10	109	11
11	113	11
12	116	11
0	116	11

analyze0.0ms (0%)

sample670.0ms (14.8%)

preprocess32.0ms (0.7%)

explain66.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize59.0ms (1.3%)

series1.0ms (0%)

rewrite548.0ms (12.1%)

simplify35.0ms (0.8%)

eval49.0ms (1.1%)

prune53.0ms (1.2%)

simplify152.0ms (3.4%)

localize140.0ms (3.1%)

series8.0ms (0.2%)

rewrite340.0ms (7.5%)

simplify153.0ms (3.4%)

eval88.0ms (1.9%)

prune73.0ms (1.6%)

simplify16.0ms (0.4%)

localize38.0ms (0.8%)

series2.0ms (0%)

rewrite422.0ms (9.3%)

simplify190.0ms (4.2%)

eval56.0ms (1.2%)

prune153.0ms (3.4%)

simplify8.0ms (0.2%)

localize31.0ms (0.7%)

series0.0ms (0%)

rewrite341.0ms (7.5%)

simplify226.0ms (5%)

eval48.0ms (1.1%)

prune49.0ms (1.1%)

regimes11.0ms (0.2%)

regimes3.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

bsearch22.0ms (0.5%)

bsearch39.0ms (0.9%)

simplify9.0ms (0.2%)

soundness354.0ms (7.8%)

preprocess32.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	9	17
1	22	15
2	38	15
3	83	15
4	208	13
5	421	13
6	653	12
7	748	12
8	805	12
9	850	12
10	886	12
11	898	12
0	5	5
1	6	5
0	6	5

Iter	Nodes	Cost
0	7	19
1	11	17
2	27	17
3	43	17
4	72	17
5	101	17
6	170	17
7	230	17
8	274	17
9	314	17
10	325	17
11	335	17
12	343	17
0	343	17

Iter	Nodes	Cost
0	5	11
1	7	11
2	12	11
3	18	11
4	28	11
5	43	11
6	67	11
7	85	11
8	99	11
9	106	11
10	109	11
11	113	11
12	116	11
0	116	11