Metrics for Data.Colour.CIE:lightness from colour-2.3.3

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-sub: 0.0ms (0% of total)

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

const: 0.0ms (0% of total)

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

sample621.0ms (14.6%)

Results

407.0ms	8190×	0	valid
58.0ms	34×	1	valid
3.0ms	32×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 188.0ms

ival-sub: 106.0ms (56.5% of total)

ival-mult: 64.0ms (34.1% of total)

const: 14.0ms (7.5% of total)

backward-pass: 3.0ms (1.6% of total)

Bogosity

preprocess29.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

164×	`fmsub-define`
158×	`fnmsub-define`
158×	`fnmadd-define`
136×	`fmm-def`
64×	`sum3-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	15
1	26	13
2	59	12
3	117	12
4	262	12
5	424	12
6	498	12
7	518	12
8	535	12
9	549	12
10	553	12
0	5	4
1	11	4
2	14	4
0	14	4

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(- (* x 116) 16)

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

Call 2

Inputs
(- (* x 116) 16)
(- (* (neg x) 116) 16)
(neg (- (* (neg x) 116) 16))

Outputs
(- (* x 116) 16)
(fnmsub x -116 16)
(- (* (neg x) 116) 16)
(fnmsub x 116 16)
(neg (- (* (neg x) 116) 16))
(fnmsub x -116 -16)

explain45.0ms (1.1%)

FPErrors

Click to see full error table

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

Results

25.0ms	510×	0	valid
0.0ms	2×	1	valid

Compiler

Compiled 32 to 17 computations (46.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 4.0ms (47.1% of total)

ival-sub: 3.0ms (35.3% of total)

const: 1.0ms (11.8% 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 116 binary64)) #s(literal 16 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 116 binary64))
✓	cost-diff	0	(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))

Rules

4×	`fma-lowering-fma.f32`
4×	`fmsub-define`
4×	`+-lowering-+.f64`
4×	`fmm-def`
4×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	10
1	11	10
2	14	10
0	14	10

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- (* x 116) 16)
(* x 116)
x
116
16

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

localize19.0ms (0.5%)

Localize:

Found 2 expressions of interest:

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

Results

13.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 13 to 6 computations (53.8% saved)

Precisions

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

ival-mult: 2.0ms (51% of total)

ival-sub: 1.0ms (25.5% of total)

const: 0.0ms (0% of total)

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

series2.0ms (0%)

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (- (* x 116) 16)>
#<alt (* x 116)>

Outputs
#<alt -16>
#<alt (- (* 116 x) 16)>
#<alt (- (* 116 x) 16)>
#<alt (- (* 116 x) 16)>
#<alt (* 116 x)>
#<alt (* x (- 116 (* 16 (/ 1 x))))>
#<alt (* x (- 116 (* 16 (/ 1 x))))>
#<alt (* x (- 116 (* 16 (/ 1 x))))>
#<alt (* 116 x)>
#<alt (* -1 (* x (- (* 16 (/ 1 x)) 116)))>
#<alt (* -1 (* x (- (* 16 (/ 1 x)) 116)))>
#<alt (* -1 (* x (- (* 16 (/ 1 x)) 116)))>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>

Calls

6 calls:

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

rewrite387.0ms (9.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3476×	`/-lowering-/.f32`
3476×	`/-lowering-/.f64`
3292×	`-lowering-.f32`
3292×	`-lowering-.f64`
2738×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	26	7
2	159	7
3	1339	7
0	8577	7

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 258

Calls

Call 1

Inputs
(- (* x 116) 16)
(* x 116)

Outputs
(+.f64 (*.f64 x #s(literal 116 binary64)) #s(literal -16 binary64))
(+.f64 #s(literal -16 binary64) (*.f64 x #s(literal 116 binary64)))
(+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))))) (neg.f64 (/.f64 #s(literal 4096 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 #s(literal 256 binary64) (*.f64 x #s(literal 1856 binary64)))))))
(+.f64 (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))) (neg.f64 (/.f64 #s(literal 256 binary64) (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)))))
(+.f64 (fma.f64 (.f64 x #s(literal 116 binary64)) (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))))) #s(literal 4096 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64)))))) #s(literal 4096 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 #s(literal 256 binary64) (*.f64 x #s(literal 1856 binary64))))) #s(literal 4096 binary64))))
(+.f64 (fma.f64 (.f64 x #s(literal 116 binary64)) (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))))) (neg.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 181063936 binary64)) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (-.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (.f64 x (.f64 x #s(literal 13456 binary64)))))) (/.f64 #s(literal 4096 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64)))))))))) (fma.f64 (neg.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 181063936 binary64)) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (-.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (.f64 x (.f64 x #s(literal 13456 binary64))))))) (/.f64 #s(literal 4096 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))))))) (.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 181063936 binary64)) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (-.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (.f64 x (.f64 x #s(literal 13456 binary64)))))) (/.f64 #s(literal 4096 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))))))))))
(+.f64 (fma.f64 (.f64 x #s(literal 116 binary64)) (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))))) (neg.f64 (.f64 (-.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64)))) (/.f64 #s(literal 4096 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 181063936 binary64)) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))))))))) (fma.f64 (neg.f64 (-.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))))) (/.f64 #s(literal 4096 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 181063936 binary64)) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64)))))) (.f64 (-.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64)))) (/.f64 #s(literal 4096 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 181063936 binary64)) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64)))))))))
(+.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))))) #s(literal 4096 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64)))))) #s(literal 4096 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 #s(literal 256 binary64) (*.f64 x #s(literal 1856 binary64))))) #s(literal 4096 binary64))))
(+.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))))) (neg.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 181063936 binary64)) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (-.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (.f64 x (.f64 x #s(literal 13456 binary64)))))) (/.f64 #s(literal 4096 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64)))))))))) (fma.f64 (neg.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 181063936 binary64)) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (-.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (.f64 x (.f64 x #s(literal 13456 binary64))))))) (/.f64 #s(literal 4096 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))))))) (.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 181063936 binary64)) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (-.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (.f64 x (.f64 x #s(literal 13456 binary64)))))) (/.f64 #s(literal 4096 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))))))))))
(+.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))))) (neg.f64 (.f64 (-.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64)))) (/.f64 #s(literal 4096 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 181063936 binary64)) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))))))))) (fma.f64 (neg.f64 (-.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))))) (/.f64 #s(literal 4096 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 181063936 binary64)) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64)))))) (.f64 (-.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64)))) (/.f64 #s(literal 4096 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 181063936 binary64)) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64)))))))))
(+.f64 (fma.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (/.f64 (.f64 x #s(literal 116 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))))) #s(literal 4096 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64)))))) #s(literal 4096 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 #s(literal 256 binary64) (*.f64 x #s(literal 1856 binary64))))) #s(literal 4096 binary64))))
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(.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 3802961274698203136 binary64)) #s(literal -68719476736 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 16777216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 6393430016 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 181063936 binary64)) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (-.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (.f64 x (*.f64 x #s(literal 13456 binary64)))))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 3802961274698203136 binary64)) #s(literal -68719476736 binary64)) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 181063936 binary64)) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 16777216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 6393430016 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 #s(literal 256 binary64) (*.f64 x #s(literal 1856 binary64)))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) #s(literal -16777216 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64)) #s(literal 4096 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 181063936 binary64)) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (-.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (.f64 x (.f64 x #s(literal 13456 binary64)))))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) #s(literal -16777216 binary64)) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 181063936 binary64)) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64)) #s(literal 4096 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64)))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) #s(literal -16777216 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 181063936 binary64)) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) #s(literal 3444736 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal -16 binary64)))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) #s(literal -16777216 binary64)) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64)) #s(literal -4096 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 181063936 binary64)) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) #s(literal 3444736 binary64))))) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 #s(literal 256 binary64) (*.f64 x #s(literal 1856 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) #s(literal -16777216 binary64)) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64)) #s(literal -4096 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 181063936 binary64)) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) #s(literal 3444736 binary64))))) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (-.f64 #s(literal 256 binary64) (*.f64 x #s(literal -1856 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) #s(literal -16777216 binary64)) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 181063936 binary64)) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) #s(literal 3444736 binary64))))) (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) #s(literal -16777216 binary64)) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64)) (+.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64))) #s(literal 4096 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 181063936 binary64)) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) #s(literal 3444736 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 #s(literal 256 binary64) (*.f64 x #s(literal 1856 binary64)))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) #s(literal -16777216 binary64)) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 181063936 binary64)) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) #s(literal 3444736 binary64))))) (+.f64 #s(literal -16 binary64) (neg.f64 (.f64 x #s(literal 116 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) #s(literal -16777216 binary64)) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 181063936 binary64)) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) #s(literal 3444736 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal -16 binary64)))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 181063936 binary64)) #s(literal -65536 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64)) #s(literal 4096 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (-.f64 #s(literal 256 binary64) (*.f64 x #s(literal 1856 binary64)))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 181063936 binary64)) #s(literal -65536 binary64)) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64)) #s(literal -4096 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64))) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 #s(literal 256 binary64) (*.f64 x #s(literal 1856 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 181063936 binary64)) #s(literal -65536 binary64)) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64)) #s(literal -4096 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64))) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (-.f64 #s(literal 256 binary64) (*.f64 x #s(literal -1856 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 181063936 binary64)) #s(literal -65536 binary64)) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64))) (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 181063936 binary64)) #s(literal -65536 binary64)) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64)) (+.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64))) #s(literal 4096 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 #s(literal 256 binary64) (*.f64 x #s(literal 1856 binary64)))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 181063936 binary64)) #s(literal -65536 binary64)) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64))) (+.f64 #s(literal -16 binary64) (neg.f64 (.f64 x #s(literal 116 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 181063936 binary64)) #s(literal -65536 binary64)) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal -16 binary64)))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64)) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64)) #s(literal -4096 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 #s(literal 256 binary64) (*.f64 x #s(literal 1856 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64)) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64)) #s(literal -4096 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (-.f64 #s(literal 256 binary64) (*.f64 x #s(literal -1856 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64)) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64)) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64)) (+.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64))) #s(literal 4096 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 #s(literal 256 binary64) (*.f64 x #s(literal 1856 binary64)))))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64)) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -16 binary64) (neg.f64 (.f64 x #s(literal 116 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64)) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64)) #s(literal 1 binary64))) (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal -16 binary64)))
(exp.f64 (log.f64 (*.f64 x #s(literal 116 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 116 binary64))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 116 binary64))
(*.f64 #s(literal 116 binary64) x)
(*.f64 #s(literal 116 binary64) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 116 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 116 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 116 binary64))) (exp.f64 (log.f64 x)))

simplify26.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

248×	`fma-define`
220×	`fma-lowering-fma.f32`
220×	`fma-lowering-fma.f64`
210×	`fmsub-define`
182×	`sum3-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	79
1	41	79
2	87	79
3	195	79
4	358	79
5	421	79
6	528	79
7	641	79
8	753	79
9	916	79
10	945	79
0	945	79

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

Calls

Call 1

Inputs
-16
(- (* 116 x) 16)
(- (* 116 x) 16)
(- (* 116 x) 16)
(* 116 x)
(* x (- 116 (* 16 (/ 1 x))))
(* x (- 116 (* 16 (/ 1 x))))
(* x (- 116 (* 16 (/ 1 x))))
(* 116 x)
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)

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

eval74.0ms (1.7%)

Compiler: Compiled 14427 to 796 computations (94.5% saved)

prune36.0ms (0.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	279	3	282
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	279	4	283

Accuracy

100.0%

Counts

283 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.0%	(/.f64 (-.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal 13456 binary64)))) (-.f64 #s(literal -16 binary64) (*.f64 x #s(literal 116 binary64))))
✓	100.0%	(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
▶	53.2%	(*.f64 #s(literal 116 binary64) x)
▶	48.0%	#s(literal -16 binary64)

Compiler

Compiled 26 to 21 computations (19.2% saved)

simplify115.0ms (2.7%)

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 x #s(literal 13456 binary64))
✓	cost-diff	(.f64 x (.f64 x #s(literal 13456 binary64)))
✓	cost-diff	(-.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal 13456 binary64))))
✓	cost-diff	(/.f64 (-.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal 13456 binary64)))) (-.f64 #s(literal -16 binary64) (*.f64 x #s(literal 116 binary64))))
✓	cost-diff	(*.f64 #s(literal 116 binary64) x)

Rules

2360×	`fnmadd-define`
1892×	`fma-define`
970×	`fmsub-define`
950×	`fnmsub-define`
896×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	47
1	28	47
2	68	43
3	146	43
4	284	43
5	522	43
6	1320	43
7	2906	43
8	5211	43
9	5925	43
10	6108	43
11	6122	43
12	6122	43
0	6122	43

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
-16
(* 116 x)
116
x
(/ (- 256 (* x (* x 13456))) (- -16 (* x 116)))
(- 256 (* x (* x 13456)))
256
(* x (* x 13456))
x
(* x 13456)
13456
(- -16 (* x 116))
-16
(* x 116)
116

Outputs
-16
#s(literal -16 binary64)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
116
#s(literal 116 binary64)
x
(/ (- 256 (* x (* x 13456))) (- -16 (* x 116)))
(/.f64 (+.f64 #s(literal 256 binary64) (.f64 (.f64 x x) #s(literal -13456 binary64))) (-.f64 #s(literal -16 binary64) (*.f64 #s(literal 116 binary64) x)))
(- 256 (* x (* x 13456)))
(+.f64 #s(literal 256 binary64) (.f64 (.f64 x x) #s(literal -13456 binary64)))
256
#s(literal 256 binary64)
(* x (* x 13456))
(.f64 #s(literal 13456 binary64) (.f64 x x))
x
(* x 13456)
(*.f64 x #s(literal 13456 binary64))
13456
#s(literal 13456 binary64)
(- -16 (* x 116))
(-.f64 #s(literal -16 binary64) (*.f64 #s(literal 116 binary64) x))
-16
#s(literal -16 binary64)
(* x 116)
(*.f64 #s(literal 116 binary64) x)
116
#s(literal 116 binary64)

localize52.0ms (1.2%)

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x #s(literal 116 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal -16 binary64) (*.f64 x #s(literal 116 binary64)))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 13456 binary64)))
✓	accuracy	78.0%	(/.f64 (-.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal 13456 binary64)))) (-.f64 #s(literal -16 binary64) (*.f64 x #s(literal 116 binary64))))
✓	accuracy	100.0%	(*.f64 #s(literal 116 binary64) x)

Results

38.0ms	250×	0	valid
1.0ms	6×	1	valid

Compiler

Compiled 49 to 13 computations (73.5% saved)

Precisions

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

ival-mult: 16.0ms (74.1% of total)

ival-sub: 3.0ms (13.9% of total)

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

const: 1.0ms (4.6% of total)

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

series4.0ms (0.1%)

Counts

7 → 84

Calls

Call 1

Inputs
#<alt (* 116 x)>
#<alt (/ (- 256 (* x (* x 13456))) (- -16 (* x 116)))>
#<alt (- 256 (* x (* x 13456)))>
#<alt (* x (* x 13456))>
#<alt (* x 13456)>
#<alt (- -16 (* x 116))>
#<alt (* x 116)>

Outputs
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt -16>
#<alt (- (* 116 x) 16)>
#<alt (- (* 116 x) 16)>
#<alt (- (* 116 x) 16)>
#<alt (* 116 x)>
#<alt (* x (- 116 (* 16 (/ 1 x))))>
#<alt (* x (- 116 (* 16 (/ 1 x))))>
#<alt (* x (- 116 (* 16 (/ 1 x))))>
#<alt (* 116 x)>
#<alt (* -1 (* x (- (* 16 (/ 1 x)) 116)))>
#<alt (* -1 (* x (- (* 16 (/ 1 x)) 116)))>
#<alt (* -1 (* x (- (* 16 (/ 1 x)) 116)))>
#<alt 256>
#<alt (+ 256 (* -13456 (pow x 2)))>
#<alt (+ 256 (* -13456 (pow x 2)))>
#<alt (+ 256 (* -13456 (pow x 2)))>
#<alt (* -13456 (pow x 2))>
#<alt (* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))>
#<alt (* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))>
#<alt (* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))>
#<alt (* -13456 (pow x 2))>
#<alt (* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))>
#<alt (* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))>
#<alt (* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))>
#<alt (* 13456 (pow x 2))>
#<alt (* 13456 (pow x 2))>
#<alt (* 13456 (pow x 2))>
#<alt (* 13456 (pow x 2))>
#<alt (* 13456 (pow x 2))>
#<alt (* 13456 (pow x 2))>
#<alt (* 13456 (pow x 2))>
#<alt (* 13456 (pow x 2))>
#<alt (* 13456 (pow x 2))>
#<alt (* 13456 (pow x 2))>
#<alt (* 13456 (pow x 2))>
#<alt (* 13456 (pow x 2))>
#<alt (* 13456 x)>
#<alt (* 13456 x)>
#<alt (* 13456 x)>
#<alt (* 13456 x)>
#<alt (* 13456 x)>
#<alt (* 13456 x)>
#<alt (* 13456 x)>
#<alt (* 13456 x)>
#<alt (* 13456 x)>
#<alt (* 13456 x)>
#<alt (* 13456 x)>
#<alt (* 13456 x)>
#<alt -16>
#<alt (- (* -116 x) 16)>
#<alt (- (* -116 x) 16)>
#<alt (- (* -116 x) 16)>
#<alt (* -116 x)>
#<alt (* -1 (* x (+ 116 (* 16 (/ 1 x)))))>
#<alt (* -1 (* x (+ 116 (* 16 (/ 1 x)))))>
#<alt (* -1 (* x (+ 116 (* 16 (/ 1 x)))))>
#<alt (* -116 x)>
#<alt (* -1 (* x (+ 116 (* 16 (/ 1 x)))))>
#<alt (* -1 (* x (+ 116 (* 16 (/ 1 x)))))>
#<alt (* -1 (* x (+ 116 (* 16 (/ 1 x)))))>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/ (- 256 (* x (* x 13456))) (- -16 (* x 116)))
1.0ms	x	@	0	(* x 13456)
1.0ms	x	@	inf	(/ (- 256 (* x (* x 13456))) (- -16 (* x 116)))
0.0ms	x	@	inf	(* x (* x 13456))
0.0ms	x	@	-inf	(* x 13456)

rewrite306.0ms (7.2%)

Algorithm

1×	batch-egg-rewrite

Rules

5036×	`-lowering-.f32`
5036×	`-lowering-.f64`
3602×	`/-lowering-/.f32`
3602×	`/-lowering-/.f64`
1020×	`frac-times`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	64	31
2	527	28
3	7828	28
0	8152	28

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 468

Calls

Call 1

Inputs
(* 116 x)
(/ (- 256 (* x (* x 13456))) (- -16 (* x 116)))
(- 256 (* x (* x 13456)))
(* x (* x 13456))
(* x 13456)
(- -16 (* x 116))
(* x 116)

Outputs
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -116 binary64)))
(neg.f64 (*.f64 x #s(literal -116 binary64)))
(*.f64 #s(literal 116 binary64) x)
(*.f64 #s(literal 116 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(*.f64 x #s(literal 116 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 116 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -116 binary64))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal -116 binary64)))
(*.f64 #s(literal -116 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 116 binary64))
(+.f64 #s(literal -16 binary64) (*.f64 #s(literal 116 binary64) x))
(+.f64 #s(literal -16 binary64) (.f64 (.f64 #s(literal 116 binary64) x) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -16 binary64))
(+.f64 (/.f64 #s(literal 256 binary64) (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x))) (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))))
(+.f64 (/.f64 #s(literal 256 binary64) (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 16 binary64)))))
(+.f64 (/.f64 #s(literal 256 binary64) (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x))) (.f64 (*.f64 x x) #s(literal -13456 binary64))))
(+.f64 (+.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x)) (fma.f64 (neg.f64 (.f64 x (/.f64 #s(literal 13456 binary64) (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x))))) x (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x)))))
(+.f64 (+.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x)) (fma.f64 (neg.f64 (/.f64 x (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x)))) (.f64 x #s(literal 13456 binary64)) (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x)))))
(+.f64 (+.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x)) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))) (.f64 x (.f64 x #s(literal 13456 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (-.f64 #s(literal -16 binary64) (*.f64 #s(literal 116 binary64) x)))))
(+.f64 (+.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x)) (fma.f64 (neg.f64 (/.f64 #s(literal 13456 binary64) (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x)))) (.f64 x x) (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x)))))
(+.f64 (+.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x)) (fma.f64 (+.f64 #s(literal -256 binary64) (neg.f64 (.f64 x (+.f64 (.f64 x #s(literal 13456 binary64)) #s(literal -1856 binary64))))) (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 #s(literal -4096 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1560896 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (-.f64 #s(literal -16 binary64) (*.f64 #s(literal 116 binary64) x)))))
(+.f64 (+.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x)) (fma.f64 (+.f64 (.f64 x #s(literal -116 binary64)) #s(literal 16 binary64)) (/.f64 (.f64 (.f64 x x) #s(literal -13456 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (-.f64 #s(literal -16 binary64) (*.f64 #s(literal 116 binary64) x)))))
(+.f64 (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))) (/.f64 #s(literal 256 binary64) (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x))) (.f64 (.f64 x x) #s(literal -13456 binary64))) (/.f64 #s(literal 256 binary64) (-.f64 #s(literal -16 binary64) (*.f64 #s(literal 116 binary64) x))))
(+.f64 (.f64 (/.f64 (+.f64 #s(literal 256 binary64) (.f64 (.f64 x x) #s(literal -13456 binary64))) (+.f64 #s(literal -4096 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1560896 binary64)))) #s(literal 256 binary64)) (.f64 (/.f64 (+.f64 #s(literal 256 binary64) (.f64 (.f64 x x) #s(literal -13456 binary64))) (+.f64 #s(literal -4096 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1560896 binary64)))) (.f64 x (+.f64 (.f64 x #s(literal 13456 binary64)) #s(literal -1856 binary64)))))
(+.f64 (.f64 (/.f64 (+.f64 #s(literal 256 binary64) (.f64 (.f64 x x) #s(literal -13456 binary64))) (+.f64 #s(literal -4096 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1560896 binary64)))) (.f64 x (+.f64 (.f64 x #s(literal 13456 binary64)) #s(literal -1856 binary64)))) (.f64 (/.f64 (+.f64 #s(literal 256 binary64) (.f64 (.f64 x x) #s(literal -13456 binary64))) (+.f64 #s(literal -4096 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1560896 binary64)))) #s(literal 256 binary64)))
(+.f64 (.f64 (/.f64 (+.f64 #s(literal 256 binary64) (.f64 (.f64 x x) #s(literal -13456 binary64))) (+.f64 #s(literal -4096 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1560896 binary64)))) (+.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal 13456 binary64))))) (.f64 (/.f64 (+.f64 #s(literal 256 binary64) (.f64 (.f64 x x) #s(literal -13456 binary64))) (+.f64 #s(literal -4096 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1560896 binary64)))) (*.f64 x #s(literal -1856 binary64))))
(+.f64 (.f64 (.f64 #s(literal 116 binary64) x) #s(literal 1 binary64)) #s(literal -16 binary64))
(+.f64 (.f64 (/.f64 #s(literal 256 binary64) (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x))) #s(literal 1 binary64)) (.f64 (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 256 binary64) (/.f64 (+.f64 #s(literal 256 binary64) (.f64 (.f64 x x) #s(literal -13456 binary64))) (+.f64 #s(literal -4096 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1560896 binary64))))) (.f64 (.f64 x (+.f64 (.f64 x #s(literal 13456 binary64)) #s(literal -1856 binary64))) (/.f64 (+.f64 #s(literal 256 binary64) (.f64 (.f64 x x) #s(literal -13456 binary64))) (+.f64 #s(literal -4096 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1560896 binary64))))))
(+.f64 (.f64 (.f64 x (+.f64 (.f64 x #s(literal 13456 binary64)) #s(literal -1856 binary64))) (/.f64 (+.f64 #s(literal 256 binary64) (.f64 (.f64 x x) #s(literal -13456 binary64))) (+.f64 #s(literal -4096 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1560896 binary64))))) (.f64 #s(literal 256 binary64) (/.f64 (+.f64 #s(literal 256 binary64) (.f64 (.f64 x x) #s(literal -13456 binary64))) (+.f64 #s(literal -4096 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1560896 binary64))))))
(+.f64 (.f64 (+.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal 13456 binary64)))) (/.f64 (+.f64 #s(literal 256 binary64) (.f64 (.f64 x x) #s(literal -13456 binary64))) (+.f64 #s(literal -4096 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1560896 binary64))))) (.f64 (.f64 x #s(literal -1856 binary64)) (/.f64 (+.f64 #s(literal 256 binary64) (.f64 (.f64 x x) #s(literal -13456 binary64))) (+.f64 #s(literal -4096 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal -1560896 binary64))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x)))) #s(literal -1 binary64)))
(-.f64 #s(literal -16 binary64) (*.f64 x #s(literal -116 binary64)))
(-.f64 (/.f64 #s(literal 256 binary64) (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x))) (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x))))
(-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x #s(literal -116 binary64)) #s(literal 16 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))) (+.f64 (.f64 x #s(literal -116 binary64)) #s(literal 16 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 16777216 binary64) (+.f64 #s(literal 65536 binary64) (.f64 x (.f64 (.f64 x #s(literal 13456 binary64)) (+.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal 13456 binary64)))))))) (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x))) (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) (+.f64 #s(literal 65536 binary64) (.f64 x (.f64 (.f64 x #s(literal 13456 binary64)) (+.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal 13456 binary64)))))))) (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x))))
(-.f64 (/.f64 (/.f64 #s(literal 65536 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal 13456 binary64))))) (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x))) (/.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 181063936 binary64)))) (+.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal 13456 binary64))))) (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x))))
(-.f64 (/.f64 #s(literal 16777216 binary64) (.f64 (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x)) (+.f64 #s(literal 65536 binary64) (.f64 x (.f64 (.f64 x #s(literal 13456 binary64)) (+.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal 13456 binary64))))))))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) (.f64 (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x)) (+.f64 #s(literal 65536 binary64) (.f64 x (.f64 (.f64 x #s(literal 13456 binary64)) (+.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal 13456 binary64))))))))))
(-.f64 (/.f64 #s(literal 65536 binary64) (.f64 (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x)) (+.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal 13456 binary64)))))) (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 181063936 binary64)))) (.f64 (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x)) (+.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal 13456 binary64)))))))
(-.f64 (/.f64 (.f64 #s(literal 256 binary64) (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x))) (.f64 (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x)) (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x)))) (/.f64 (.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x))) (.f64 (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x)) (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x)))))
(-.f64 (/.f64 (.f64 (/.f64 #s(literal 256 binary64) (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x))) (/.f64 #s(literal 65536 binary64) (.f64 (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x)) (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x))))) (+.f64 (/.f64 #s(literal 65536 binary64) (.f64 (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x)) (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x)))) (.f64 (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x))) (+.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal 13456 binary64)))))))) (/.f64 (.f64 (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x))) (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 181063936 binary64)))) (.f64 (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x)) (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x))))) (+.f64 (/.f64 #s(literal 65536 binary64) (.f64 (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x)) (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x)))) (.f64 (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x))) (+.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal 13456 binary64)))))))))
(-.f64 (/.f64 (/.f64 #s(literal 65536 binary64) (.f64 (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x)) (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x)))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x))) (+.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal 13456 binary64)))))) (/.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 181063936 binary64)))) (.f64 (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x)) (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x)))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x))) (+.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal 13456 binary64)))))))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(fma.f64 #s(literal 256 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x))) (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))))
(fma.f64 (/.f64 #s(literal 256 binary64) (+.f64 #s(literal -4096 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1560896 binary64)))) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 (.f64 x #s(literal 13456 binary64)) #s(literal -1856 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))))
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(.f64 (/.f64 (-.f64 #s(literal 65536 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 181063936 binary64))))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal 13456 binary64))))) (+.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x))))
(.f64 (/.f64 (-.f64 #s(literal 65536 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 181063936 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal 13456 binary64))))) (+.f64 #s(literal 256 binary64) (.f64 (.f64 x x) #s(literal -13456 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 65536 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 181063936 binary64))))) (/.f64 (+.f64 #s(literal 256 binary64) (.f64 (.f64 x x) #s(literal -13456 binary64))) (+.f64 #s(literal -4096 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1560896 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal 13456 binary64))))) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 (.f64 x #s(literal 13456 binary64)) #s(literal -1856 binary64))))))
(.f64 (/.f64 (+.f64 #s(literal 256 binary64) (.f64 (.f64 x x) #s(literal -13456 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x))))
(.f64 (.f64 (+.f64 #s(literal 256 binary64) (.f64 (.f64 x x) #s(literal -13456 binary64))) (/.f64 (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x)) (+.f64 #s(literal 16777216 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -2436396322816 binary64))))) (+.f64 #s(literal 65536 binary64) (.f64 x (.f64 (.f64 x #s(literal 13456 binary64)) (+.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal 13456 binary64))))))))
(.f64 (.f64 (+.f64 #s(literal 256 binary64) (.f64 (.f64 x x) #s(literal -13456 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal 13456 binary64)))) (+.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x))))) (+.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal 13456 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 256 binary64) (.f64 (.f64 x x) #s(literal -13456 binary64))) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64))) (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64)))
(.f64 (/.f64 (+.f64 #s(literal 256 binary64) (.f64 (.f64 x x) #s(literal -13456 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x))))
(.f64 (/.f64 (+.f64 #s(literal 256 binary64) (.f64 (.f64 x x) #s(literal -13456 binary64))) (+.f64 (.f64 #s(literal 256 binary64) (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x))) (.f64 (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64)) (.f64 x (.f64 x #s(literal 13456 binary64)))))) (.f64 (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x)) (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x))))
(.f64 (/.f64 (+.f64 #s(literal 256 binary64) (.f64 (.f64 x x) #s(literal -13456 binary64))) (+.f64 #s(literal -4096 binary64) (.f64 #s(literal 1560896 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal 256 binary64) (.f64 x (-.f64 (.f64 x #s(literal 13456 binary64)) #s(literal -1856 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 256 binary64) (.f64 (.f64 x x) #s(literal -13456 binary64))) (.f64 (+.f64 (/.f64 #s(literal 65536 binary64) (.f64 (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x)) (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x)))) (.f64 (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x))) (+.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal 13456 binary64))))))) (+.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x)))) (+.f64 (/.f64 #s(literal 65536 binary64) (.f64 (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x)) (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x)))) (.f64 (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x))) (+.f64 #s(literal 256 binary64) (.f64 x (*.f64 x #s(literal 13456 binary64))))))))
(.f64 (/.f64 (+.f64 #s(literal 256 binary64) (.f64 (.f64 x x) #s(literal -13456 binary64))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x))) (+.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal 13456 binary64))))) (+.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x)))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x))) (+.f64 #s(literal 256 binary64) (.f64 x (*.f64 x #s(literal 13456 binary64))))))
(.f64 (/.f64 (+.f64 #s(literal 256 binary64) (.f64 (.f64 x x) #s(literal -13456 binary64))) (/.f64 (+.f64 #s(literal 16777216 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -2436396322816 binary64))) (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x)))) (+.f64 #s(literal 65536 binary64) (.f64 x (.f64 (.f64 x #s(literal 13456 binary64)) (+.f64 #s(literal 256 binary64) (.f64 x (*.f64 x #s(literal 13456 binary64))))))))
(.f64 (/.f64 (+.f64 #s(literal 256 binary64) (.f64 (.f64 x x) #s(literal -13456 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal 13456 binary64)))) (+.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x)))) (+.f64 #s(literal 256 binary64) (.f64 x (*.f64 x #s(literal 13456 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal -4096 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1560896 binary64))) (+.f64 #s(literal 16777216 binary64) (.f64 (.f64 x (+.f64 (.f64 x #s(literal 13456 binary64)) #s(literal -1856 binary64))) (.f64 (.f64 x (+.f64 (.f64 x #s(literal 13456 binary64)) #s(literal -1856 binary64))) (.f64 x (+.f64 (.f64 x #s(literal 13456 binary64)) #s(literal -1856 binary64))))))) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x (+.f64 (.f64 x #s(literal 13456 binary64)) #s(literal -1856 binary64))) (-.f64 (.f64 x (+.f64 (*.f64 x #s(literal 13456 binary64)) #s(literal -1856 binary64))) #s(literal 256 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal -4096 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1560896 binary64))) (-.f64 #s(literal 65536 binary64) (.f64 (.f64 x (+.f64 (.f64 x #s(literal 13456 binary64)) #s(literal -1856 binary64))) (.f64 x (+.f64 (.f64 x #s(literal 13456 binary64)) #s(literal -1856 binary64)))))) (-.f64 #s(literal 256 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 13456 binary64)) #s(literal -1856 binary64)))))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -116 binary64)))
(neg.f64 (*.f64 x #s(literal -116 binary64)))
(*.f64 #s(literal 116 binary64) x)
(*.f64 #s(literal 116 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(*.f64 x #s(literal 116 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 116 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -116 binary64))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal -116 binary64)))
(*.f64 #s(literal -116 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 116 binary64))

simplify206.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

2024×	`-lowering-.f32`
2024×	`-lowering-.f64`
2016×	`sum3-define`
1380×	`fma-lowering-fma.f32`
1380×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	328
1	87	319
2	204	319
3	421	319
4	635	319
5	1003	319
6	1958	319
7	5797	319
0	8257	319

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

Inputs
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
-16
(- (* 116 x) 16)
(- (* 116 x) 16)
(- (* 116 x) 16)
(* 116 x)
(* x (- 116 (* 16 (/ 1 x))))
(* x (- 116 (* 16 (/ 1 x))))
(* x (- 116 (* 16 (/ 1 x))))
(* 116 x)
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
256
(+ 256 (* -13456 (pow x 2)))
(+ 256 (* -13456 (pow x 2)))
(+ 256 (* -13456 (pow x 2)))
(* -13456 (pow x 2))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))
(* -13456 (pow x 2))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))
(* 13456 (pow x 2))
(* 13456 (pow x 2))
(* 13456 (pow x 2))
(* 13456 (pow x 2))
(* 13456 (pow x 2))
(* 13456 (pow x 2))
(* 13456 (pow x 2))
(* 13456 (pow x 2))
(* 13456 (pow x 2))
(* 13456 (pow x 2))
(* 13456 (pow x 2))
(* 13456 (pow x 2))
(* 13456 x)
(* 13456 x)
(* 13456 x)
(* 13456 x)
(* 13456 x)
(* 13456 x)
(* 13456 x)
(* 13456 x)
(* 13456 x)
(* 13456 x)
(* 13456 x)
(* 13456 x)
-16
(- (* -116 x) 16)
(- (* -116 x) 16)
(- (* -116 x) 16)
(* -116 x)
(* -1 (* x (+ 116 (* 16 (/ 1 x)))))
(* -1 (* x (+ 116 (* 16 (/ 1 x)))))
(* -1 (* x (+ 116 (* 16 (/ 1 x)))))
(* -116 x)
(* -1 (* x (+ 116 (* 16 (/ 1 x)))))
(* -1 (* x (+ 116 (* 16 (/ 1 x)))))
(* -1 (* x (+ 116 (* 16 (/ 1 x)))))
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)

Outputs
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
-16
#s(literal -16 binary64)
(- (* 116 x) 16)
(+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -16 binary64))
(- (* 116 x) 16)
(+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -16 binary64))
(- (* 116 x) 16)
(+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -16 binary64))
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* x (- 116 (* 16 (/ 1 x))))
(+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -16 binary64))
(* x (- 116 (* 16 (/ 1 x))))
(+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -16 binary64))
(* x (- 116 (* 16 (/ 1 x))))
(+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -16 binary64))
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -16 binary64))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -16 binary64))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -16 binary64))
256
#s(literal 256 binary64)
(+ 256 (* -13456 (pow x 2)))
(+.f64 #s(literal 256 binary64) (.f64 #s(literal -13456 binary64) (.f64 x x)))
(+ 256 (* -13456 (pow x 2)))
(+.f64 #s(literal 256 binary64) (.f64 #s(literal -13456 binary64) (.f64 x x)))
(+ 256 (* -13456 (pow x 2)))
(+.f64 #s(literal 256 binary64) (.f64 #s(literal -13456 binary64) (.f64 x x)))
(* -13456 (pow x 2))
(.f64 #s(literal -13456 binary64) (.f64 x x))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))
(+.f64 #s(literal 256 binary64) (.f64 #s(literal -13456 binary64) (.f64 x x)))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))
(+.f64 #s(literal 256 binary64) (.f64 #s(literal -13456 binary64) (.f64 x x)))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))
(+.f64 #s(literal 256 binary64) (.f64 #s(literal -13456 binary64) (.f64 x x)))
(* -13456 (pow x 2))
(.f64 #s(literal -13456 binary64) (.f64 x x))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))
(+.f64 #s(literal 256 binary64) (.f64 #s(literal -13456 binary64) (.f64 x x)))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))
(+.f64 #s(literal 256 binary64) (.f64 #s(literal -13456 binary64) (.f64 x x)))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))
(+.f64 #s(literal 256 binary64) (.f64 #s(literal -13456 binary64) (.f64 x x)))
(* 13456 (pow x 2))
(.f64 x (.f64 x #s(literal 13456 binary64)))
(* 13456 (pow x 2))
(.f64 x (.f64 x #s(literal 13456 binary64)))
(* 13456 (pow x 2))
(.f64 x (.f64 x #s(literal 13456 binary64)))
(* 13456 (pow x 2))
(.f64 x (.f64 x #s(literal 13456 binary64)))
(* 13456 (pow x 2))
(.f64 x (.f64 x #s(literal 13456 binary64)))
(* 13456 (pow x 2))
(.f64 x (.f64 x #s(literal 13456 binary64)))
(* 13456 (pow x 2))
(.f64 x (.f64 x #s(literal 13456 binary64)))
(* 13456 (pow x 2))
(.f64 x (.f64 x #s(literal 13456 binary64)))
(* 13456 (pow x 2))
(.f64 x (.f64 x #s(literal 13456 binary64)))
(* 13456 (pow x 2))
(.f64 x (.f64 x #s(literal 13456 binary64)))
(* 13456 (pow x 2))
(.f64 x (.f64 x #s(literal 13456 binary64)))
(* 13456 (pow x 2))
(.f64 x (.f64 x #s(literal 13456 binary64)))
(* 13456 x)
(*.f64 x #s(literal 13456 binary64))
(* 13456 x)
(*.f64 x #s(literal 13456 binary64))
(* 13456 x)
(*.f64 x #s(literal 13456 binary64))
(* 13456 x)
(*.f64 x #s(literal 13456 binary64))
(* 13456 x)
(*.f64 x #s(literal 13456 binary64))
(* 13456 x)
(*.f64 x #s(literal 13456 binary64))
(* 13456 x)
(*.f64 x #s(literal 13456 binary64))
(* 13456 x)
(*.f64 x #s(literal 13456 binary64))
(* 13456 x)
(*.f64 x #s(literal 13456 binary64))
(* 13456 x)
(*.f64 x #s(literal 13456 binary64))
(* 13456 x)
(*.f64 x #s(literal 13456 binary64))
(* 13456 x)
(*.f64 x #s(literal 13456 binary64))
-16
#s(literal -16 binary64)
(- (* -116 x) 16)
(+.f64 (*.f64 x #s(literal -116 binary64)) #s(literal -16 binary64))
(- (* -116 x) 16)
(+.f64 (*.f64 x #s(literal -116 binary64)) #s(literal -16 binary64))
(- (* -116 x) 16)
(+.f64 (*.f64 x #s(literal -116 binary64)) #s(literal -16 binary64))
(* -116 x)
(*.f64 x #s(literal -116 binary64))
(* -1 (* x (+ 116 (* 16 (/ 1 x)))))
(+.f64 (*.f64 x #s(literal -116 binary64)) #s(literal -16 binary64))
(* -1 (* x (+ 116 (* 16 (/ 1 x)))))
(+.f64 (*.f64 x #s(literal -116 binary64)) #s(literal -16 binary64))
(* -1 (* x (+ 116 (* 16 (/ 1 x)))))
(+.f64 (*.f64 x #s(literal -116 binary64)) #s(literal -16 binary64))
(* -116 x)
(*.f64 x #s(literal -116 binary64))
(* -1 (* x (+ 116 (* 16 (/ 1 x)))))
(+.f64 (*.f64 x #s(literal -116 binary64)) #s(literal -16 binary64))
(* -1 (* x (+ 116 (* 16 (/ 1 x)))))
(+.f64 (*.f64 x #s(literal -116 binary64)) #s(literal -16 binary64))
(* -1 (* x (+ 116 (* 16 (/ 1 x)))))
(+.f64 (*.f64 x #s(literal -116 binary64)) #s(literal -16 binary64))
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)

eval66.0ms (1.5%)

Compiler: Compiled 17078 to 1392 computations (91.8% saved)

prune57.0ms (1.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	551	1	552
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	552	4	556

Accuracy

100.0%

Counts

556 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	30.9%	(/.f64 (-.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal 13456 binary64)))) (*.f64 x #s(literal -116 binary64)))
✓	100.0%	(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
✓	53.2%	(*.f64 #s(literal 116 binary64) x)
✓	48.0%	#s(literal -16 binary64)

Compiler

Compiled 24 to 19 computations (20.8% saved)

simplify169.0ms (4%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x #s(literal 13456 binary64))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal 13456 binary64)))
✓	cost-diff	0	(-.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal 13456 binary64))))
✓	cost-diff	256	(/.f64 (-.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal 13456 binary64)))) (*.f64 x #s(literal -116 binary64)))

Rules

2196×	`-lowering-.f32`
2196×	`-lowering-.f64`
1834×	`/-lowering-/.f32`
1834×	`/-lowering-/.f64`
1630×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	33
1	24	33
2	81	28
3	253	27
4	1277	27
5	4403	27
6	6847	27
0	8232	27

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (- 256 (* x (* x 13456))) (* x -116))
(- 256 (* x (* x 13456)))
256
(* x (* x 13456))
x
(* x 13456)
13456
(* x -116)
-116

Outputs
(/ (- 256 (* x (* x 13456))) (* x -116))
(+.f64 (/.f64 #s(literal -64/29 binary64) x) (/.f64 x #s(literal 1/116 binary64)))
(- 256 (* x (* x 13456)))
(+.f64 #s(literal 256 binary64) (.f64 (.f64 x x) #s(literal -13456 binary64)))
256
#s(literal 256 binary64)
(* x (* x 13456))
(.f64 x (.f64 x #s(literal 13456 binary64)))
x
(* x 13456)
(*.f64 x #s(literal 13456 binary64))
13456
#s(literal 13456 binary64)
(* x -116)
(/.f64 x #s(literal -1/116 binary64))
-116
#s(literal -116 binary64)

localize50.0ms (1.2%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x #s(literal 13456 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal -116 binary64))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 13456 binary64)))
✓	accuracy	77.8%	(/.f64 (-.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal 13456 binary64)))) (*.f64 x #s(literal -116 binary64)))

Results

39.0ms	250×	0	valid
1.0ms	3×	2	valid
1.0ms	3×	1	valid

Compiler

Compiled 35 to 10 computations (71.4% saved)

Precisions

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

ival-mult: 5.0ms (51.3% of total)

ival-div: 2.0ms (20.5% of total)

const: 1.0ms (10.3% of total)

ival-sub: 1.0ms (10.3% of total)

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

series2.0ms (0%)

Counts

5 → 60

Calls

Call 1

Inputs
#<alt (/ (- 256 (* x (* x 13456))) (* x -116))>
#<alt (- 256 (* x (* x 13456)))>
#<alt (* x (* x 13456))>
#<alt (* x 13456)>
#<alt (* x -116)>

Outputs
#<alt (/ -64/29 x)>
#<alt (/ (- (* 116 (pow x 2)) 64/29) x)>
#<alt (/ (- (* 116 (pow x 2)) 64/29) x)>
#<alt (/ (- (* 116 (pow x 2)) 64/29) x)>
#<alt (* 116 x)>
#<alt (* x (- 116 (* 64/29 (/ 1 (pow x 2)))))>
#<alt (* x (- 116 (* 64/29 (/ 1 (pow x 2)))))>
#<alt (* x (- 116 (* 64/29 (/ 1 (pow x 2)))))>
#<alt (* 116 x)>
#<alt (* -1 (* x (- (* 64/29 (/ 1 (pow x 2))) 116)))>
#<alt (* -1 (* x (- (* 64/29 (/ 1 (pow x 2))) 116)))>
#<alt (* -1 (* x (- (* 64/29 (/ 1 (pow x 2))) 116)))>
#<alt 256>
#<alt (+ 256 (* -13456 (pow x 2)))>
#<alt (+ 256 (* -13456 (pow x 2)))>
#<alt (+ 256 (* -13456 (pow x 2)))>
#<alt (* -13456 (pow x 2))>
#<alt (* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))>
#<alt (* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))>
#<alt (* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))>
#<alt (* -13456 (pow x 2))>
#<alt (* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))>
#<alt (* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))>
#<alt (* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))>
#<alt (* 13456 (pow x 2))>
#<alt (* 13456 (pow x 2))>
#<alt (* 13456 (pow x 2))>
#<alt (* 13456 (pow x 2))>
#<alt (* 13456 (pow x 2))>
#<alt (* 13456 (pow x 2))>
#<alt (* 13456 (pow x 2))>
#<alt (* 13456 (pow x 2))>
#<alt (* 13456 (pow x 2))>
#<alt (* 13456 (pow x 2))>
#<alt (* 13456 (pow x 2))>
#<alt (* 13456 (pow x 2))>
#<alt (* 13456 x)>
#<alt (* 13456 x)>
#<alt (* 13456 x)>
#<alt (* 13456 x)>
#<alt (* 13456 x)>
#<alt (* 13456 x)>
#<alt (* 13456 x)>
#<alt (* 13456 x)>
#<alt (* 13456 x)>
#<alt (* 13456 x)>
#<alt (* 13456 x)>
#<alt (* 13456 x)>
#<alt (* -116 x)>
#<alt (* -116 x)>
#<alt (* -116 x)>
#<alt (* -116 x)>
#<alt (* -116 x)>
#<alt (* -116 x)>
#<alt (* -116 x)>
#<alt (* -116 x)>
#<alt (* -116 x)>
#<alt (* -116 x)>
#<alt (* -116 x)>
#<alt (* -116 x)>

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/ (- 256 (* x (* x 13456))) (* x -116))
0.0ms	x	@	inf	(/ (- 256 (* x (* x 13456))) (* x -116))
0.0ms	x	@	0	(* x -116)
0.0ms	x	@	-inf	(/ (- 256 (* x (* x 13456))) (* x -116))
0.0ms	x	@	0	(- 256 (* x (* x 13456)))

rewrite275.0ms (6.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2962×	`-lowering-.f32`
2962×	`-lowering-.f64`
1982×	`/-lowering-/.f32`
1982×	`/-lowering-/.f64`
1558×	`fnmadd-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	29
1	47	29
2	369	24
3	4579	23
0	8173	23

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 455

Calls

Call 1

Inputs
(/ (- 256 (* x (* x 13456))) (* x -116))
(- 256 (* x (* x 13456)))
(* x (* x 13456))
(* x 13456)
(* x -116)

Outputs
(+.f64 (*.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -64/29 binary64) x))
(+.f64 (/.f64 #s(literal -64/29 binary64) x) (*.f64 x #s(literal 116 binary64)))
(+.f64 (/.f64 #s(literal -64/29 binary64) x) (.f64 (/.f64 #s(literal -1/116 binary64) x) (.f64 x (*.f64 x #s(literal -13456 binary64)))))
(+.f64 (+.f64 (.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -64/29 binary64) x)) (+.f64 (.f64 #s(literal 1/116 binary64) (.f64 x #s(literal 13456 binary64))) (.f64 x #s(literal -116 binary64))))
(+.f64 (+.f64 (.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -64/29 binary64) x)) (+.f64 (.f64 (/.f64 #s(literal 1/116 binary64) x) (.f64 x (.f64 x #s(literal 13456 binary64)))) (*.f64 x #s(literal -116 binary64))))
(+.f64 (+.f64 (.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -64/29 binary64) x)) (+.f64 (.f64 (neg.f64 (/.f64 #s(literal -116 binary64) x)) (.f64 x x)) (.f64 x #s(literal -116 binary64))))
(+.f64 (+.f64 (.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -64/29 binary64) x)) (+.f64 (.f64 x #s(literal 116 binary64)) (*.f64 x #s(literal -116 binary64))))
(+.f64 (+.f64 (.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -64/29 binary64) x)) (+.f64 (.f64 #s(literal 116 binary64) (.f64 x #s(literal 1 binary64))) (.f64 x #s(literal -116 binary64))))
(+.f64 (+.f64 (.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -64/29 binary64) x)) (+.f64 (.f64 (neg.f64 (/.f64 #s(literal 13456 binary64) x)) (/.f64 (.f64 x x) #s(literal -116 binary64))) (.f64 x #s(literal -116 binary64))))
(+.f64 (.f64 (/.f64 #s(literal -1/116 binary64) x) (.f64 x (*.f64 x #s(literal -13456 binary64)))) (/.f64 #s(literal -64/29 binary64) x))
(+.f64 (.f64 (/.f64 #s(literal -64/29 binary64) x) #s(literal 1 binary64)) (.f64 x #s(literal 116 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal -116 binary64) (+.f64 (/.f64 #s(literal 256 binary64) x) (.f64 x #s(literal -13456 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal -64/29 binary64) x) (*.f64 x #s(literal -116 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 256 binary64) (.f64 x #s(literal 116 binary64))) (.f64 x #s(literal 116 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 x #s(literal 116 binary64))) (-.f64 (/.f64 #s(literal 256 binary64) (.f64 x #s(literal 116 binary64))) (*.f64 x #s(literal 116 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 16777216 binary64) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x #s(literal 13456 binary64)) (.f64 x (-.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal -13456 binary64)))))))) (.f64 x #s(literal -116 binary64))) (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x #s(literal 13456 binary64)) (.f64 x (-.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal -13456 binary64)))))))) (.f64 x #s(literal -116 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 65536 binary64) (-.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal -13456 binary64))))) (.f64 x #s(literal -116 binary64))) (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64))) (-.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal -13456 binary64))))) (.f64 x #s(literal -116 binary64))))
(-.f64 (/.f64 #s(literal 16777216 binary64) (.f64 x (.f64 #s(literal -116 binary64) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x #s(literal 13456 binary64)) (.f64 x (-.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal -13456 binary64)))))))))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) (.f64 x (.f64 #s(literal -116 binary64) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x #s(literal 13456 binary64)) (.f64 x (-.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal -13456 binary64)))))))))))
(-.f64 (/.f64 #s(literal 65536 binary64) (.f64 x (.f64 #s(literal -116 binary64) (-.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal -13456 binary64))))))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64))) (.f64 x (.f64 #s(literal -116 binary64) (-.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal -13456 binary64))))))))
(-.f64 (/.f64 (.f64 #s(literal -29696 binary64) x) (.f64 x (.f64 x #s(literal 13456 binary64)))) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1560896 binary64)) (.f64 x (.f64 x #s(literal 13456 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal -262144/24389 binary64) (.f64 x (.f64 x x))) (+.f64 (-.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal -13456 binary64)))) (/.f64 #s(literal 4096/841 binary64) (.f64 x x)))) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1560896 binary64)) (+.f64 (-.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal -13456 binary64)))) (/.f64 #s(literal 4096/841 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (/.f64 #s(literal 4096/841 binary64) (.f64 x x)) (+.f64 (.f64 x #s(literal -116 binary64)) (/.f64 #s(literal -64/29 binary64) x))) (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 (*.f64 x #s(literal -116 binary64)) (/.f64 #s(literal -64/29 binary64) x))))
(fma.f64 #s(literal 256 binary64) (/.f64 #s(literal -1/116 binary64) x) (*.f64 x #s(literal 116 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -64/29 binary64) x) (*.f64 x #s(literal 116 binary64)))
(fma.f64 (/.f64 #s(literal -1/116 binary64) x) #s(literal 256 binary64) (*.f64 x #s(literal 116 binary64)))
(fma.f64 #s(literal -256 binary64) (/.f64 #s(literal 1/116 binary64) x) (*.f64 x #s(literal 116 binary64)))
(fma.f64 (/.f64 #s(literal 256 binary64) x) #s(literal -1/116 binary64) (*.f64 x #s(literal 116 binary64)))
(fma.f64 #s(literal -64/29 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 116 binary64)))
(neg.f64 (-.f64 (/.f64 #s(literal 256 binary64) (.f64 x #s(literal 116 binary64))) (.f64 x #s(literal 116 binary64))))
(neg.f64 (.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 256 binary64) (.f64 x #s(literal 116 binary64))) (*.f64 x #s(literal 116 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -116 binary64) (+.f64 (/.f64 #s(literal 256 binary64) x) (*.f64 x #s(literal -13456 binary64))))))
(/.f64 (+.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal -13456 binary64)))) (*.f64 x #s(literal -116 binary64)))
(/.f64 (-.f64 #s(literal -256 binary64) (.f64 x (.f64 x #s(literal -13456 binary64)))) (*.f64 x #s(literal 116 binary64)))
(/.f64 (+.f64 #s(literal 16777216 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -2436396322816 binary64))) (.f64 x (.f64 #s(literal -116 binary64) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x #s(literal 13456 binary64)) (.f64 x (-.f64 #s(literal 256 binary64) (.f64 x (*.f64 x #s(literal -13456 binary64))))))))))
(/.f64 (+.f64 #s(literal 16777216 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -2436396322816 binary64))) (.f64 (+.f64 (neg.f64 (.f64 (.f64 x #s(literal 13456 binary64)) (.f64 x (-.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal -13456 binary64))))))) #s(literal -65536 binary64)) (*.f64 x #s(literal 116 binary64))))
(/.f64 (+.f64 #s(literal 16777216 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -2436396322816 binary64))) (.f64 (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x (.f64 x #s(literal -13456 binary64))) (-.f64 (.f64 x (.f64 x #s(literal -13456 binary64))) #s(literal 256 binary64)))) (*.f64 x #s(literal -116 binary64))))
(/.f64 (+.f64 #s(literal 16777216 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -2436396322816 binary64))) (.f64 (.f64 x #s(literal -116 binary64)) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x (.f64 x #s(literal -13456 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal -13456 binary64))) #s(literal 256 binary64))))))
(/.f64 (+.f64 #s(literal 16777216 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -2436396322816 binary64))) (.f64 (.f64 x #s(literal 116 binary64)) (+.f64 (neg.f64 (.f64 (.f64 x #s(literal 13456 binary64)) (.f64 x (-.f64 #s(literal 256 binary64) (.f64 x (*.f64 x #s(literal -13456 binary64))))))) #s(literal -65536 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -116 binary64) (+.f64 (/.f64 #s(literal 256 binary64) x) (*.f64 x #s(literal -13456 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (-.f64 (.f64 #s(literal -29696 binary64) x) (.f64 (.f64 x (.f64 x x)) #s(literal -1560896 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal -13456 binary64)))) (/.f64 #s(literal 4096/841 binary64) (.f64 x x))) (-.f64 (/.f64 #s(literal -262144/24389 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) #s(literal -1560896 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal -116 binary64)) (/.f64 #s(literal -64/29 binary64) x)) (+.f64 (/.f64 #s(literal 4096/841 binary64) (.f64 x x)) (.f64 x (.f64 x #s(literal -13456 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x #s(literal 13456 binary64)) (.f64 x (-.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal -13456 binary64))))))) (/.f64 (+.f64 #s(literal 16777216 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -2436396322816 binary64))) (.f64 x #s(literal -116 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal -13456 binary64)))) (/.f64 (-.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64)))) (*.f64 x #s(literal -116 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal -64/29 binary64) (.f64 x (.f64 x #s(literal -116 binary64))))))
(/.f64 (/.f64 #s(literal -1/116 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal -13456 binary64))))))
(/.f64 (-.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64)))) (.f64 x (.f64 #s(literal -116 binary64) (-.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal -13456 binary64)))))))
(/.f64 (-.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64)))) (.f64 (+.f64 (.f64 x (.f64 x #s(literal -13456 binary64))) #s(literal -256 binary64)) (.f64 x #s(literal 116 binary64))))
(/.f64 (-.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64)))) (.f64 (.f64 x #s(literal 116 binary64)) (+.f64 (.f64 x (.f64 x #s(literal -13456 binary64))) #s(literal -256 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal 256 binary64) x) (*.f64 x #s(literal -13456 binary64))) #s(literal -116 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -64/29 binary64) x))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal -13456 binary64))))) (.f64 x #s(literal 116 binary64))))
(/.f64 (-.f64 (.f64 #s(literal -29696 binary64) x) (.f64 (.f64 x (.f64 x x)) #s(literal -1560896 binary64))) (.f64 x (.f64 x #s(literal 13456 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 256 binary64) x) (*.f64 x #s(literal -13456 binary64)))) #s(literal 116 binary64))
(/.f64 (+.f64 #s(literal -16777216 binary64) (neg.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -2436396322816 binary64)))) (.f64 (.f64 x #s(literal -116 binary64)) (+.f64 (neg.f64 (.f64 (.f64 x #s(literal 13456 binary64)) (.f64 x (-.f64 #s(literal 256 binary64) (.f64 x (*.f64 x #s(literal -13456 binary64))))))) #s(literal -65536 binary64))))
(/.f64 (+.f64 #s(literal -16777216 binary64) (neg.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -2436396322816 binary64)))) (.f64 (.f64 x #s(literal 116 binary64)) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x #s(literal 13456 binary64)) (.f64 x (-.f64 #s(literal 256 binary64) (.f64 x (*.f64 x #s(literal -13456 binary64)))))))))
(/.f64 (+.f64 #s(literal -16777216 binary64) (neg.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -2436396322816 binary64)))) (.f64 (.f64 x #s(literal 116 binary64)) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x (.f64 x #s(literal -13456 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal -13456 binary64))) #s(literal 256 binary64))))))
(/.f64 (+.f64 #s(literal -16777216 binary64) (neg.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -2436396322816 binary64)))) (neg.f64 (.f64 x (.f64 #s(literal -116 binary64) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x #s(literal 13456 binary64)) (.f64 x (-.f64 #s(literal 256 binary64) (.f64 x (*.f64 x #s(literal -13456 binary64)))))))))))
(/.f64 (+.f64 #s(literal -65536 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64)))) (.f64 (.f64 x #s(literal -116 binary64)) (+.f64 (.f64 x (.f64 x #s(literal -13456 binary64))) #s(literal -256 binary64))))
(/.f64 (+.f64 #s(literal -65536 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64)))) (.f64 (.f64 x #s(literal 116 binary64)) (-.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal -13456 binary64))))))
(/.f64 (+.f64 #s(literal -65536 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64)))) (neg.f64 (.f64 x (.f64 #s(literal -116 binary64) (-.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal -13456 binary64))))))))
(/.f64 (-.f64 (/.f64 #s(literal -262144/24389 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) #s(literal -1560896 binary64))) (+.f64 (-.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal -13456 binary64)))) (/.f64 #s(literal 4096/841 binary64) (.f64 x x))))
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(.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64))) (.f64 (/.f64 #s(literal -1/116 binary64) x) (/.f64 #s(literal -1/116 binary64) x)))
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 13456 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x #s(literal -13456 binary64)))
(.f64 (.f64 x x) #s(literal 13456 binary64))
(.f64 (.f64 x x) (.f64 (/.f64 #s(literal -116 binary64) x) (.f64 x #s(literal -116 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 x #s(literal -13456 binary64))))
(.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1560896 binary64)) (/.f64 #s(literal -1/116 binary64) x))
(.f64 (/.f64 x #s(literal -116 binary64)) (.f64 #s(literal 13456 binary64) (*.f64 x #s(literal -116 binary64))))
(.f64 (.f64 x #s(literal 1 binary64)) (.f64 #s(literal -116 binary64) (.f64 x #s(literal -116 binary64))))
(.f64 (/.f64 (.f64 x x) #s(literal -116 binary64)) (.f64 (/.f64 #s(literal 13456 binary64) x) (.f64 x #s(literal -116 binary64))))
(.f64 (.f64 (*.f64 x x) #s(literal 181063936 binary64)) #s(literal 1/13456 binary64))
(.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 (/.f64 #s(literal -116 binary64) x) (/.f64 #s(literal -116 binary64) x)))
(.f64 #s(literal 181063936 binary64) (.f64 (/.f64 x #s(literal -116 binary64)) (/.f64 x #s(literal -116 binary64))))
(.f64 (.f64 x #s(literal -13456 binary64)) (-.f64 #s(literal 0 binary64) x))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -13456 binary64))
(.f64 (.f64 (*.f64 x #s(literal -116 binary64)) #s(literal -116 binary64)) x)
(.f64 (.f64 (*.f64 x #s(literal -116 binary64)) x) #s(literal -116 binary64))
(.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (.f64 x #s(literal 13456 binary64)))
(.f64 (.f64 (/.f64 x #s(literal -116 binary64)) (/.f64 x #s(literal -116 binary64))) #s(literal 181063936 binary64))
(.f64 (.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64))) #s(literal 13456 binary64))
(.f64 (.f64 (/.f64 (.f64 x x) #s(literal -116 binary64)) (/.f64 (.f64 x x) #s(literal -116 binary64))) (*.f64 (/.f64 #s(literal 13456 binary64) x) (/.f64 #s(literal 13456 binary64) x)))
(.f64 (neg.f64 (.f64 x #s(literal -13456 binary64))) x)
(.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x x))) #s(literal 13456 binary64))
(.f64 (.f64 (*.f64 x #s(literal -116 binary64)) #s(literal 13456 binary64)) (/.f64 x #s(literal -116 binary64)))
(.f64 (.f64 (.f64 x #s(literal -116 binary64)) (.f64 x #s(literal 13456 binary64))) #s(literal -1/116 binary64))
(.f64 (.f64 (.f64 x #s(literal -116 binary64)) (.f64 x x)) (/.f64 #s(literal -116 binary64) x))
(.f64 (.f64 (*.f64 x #s(literal -116 binary64)) (/.f64 x #s(literal -116 binary64))) #s(literal 13456 binary64))
(.f64 (.f64 (.f64 x #s(literal -116 binary64)) (.f64 x #s(literal 1 binary64))) #s(literal -116 binary64))
(.f64 (.f64 (.f64 x #s(literal -116 binary64)) (/.f64 (.f64 x x) #s(literal -116 binary64))) (/.f64 #s(literal 13456 binary64) x))
(/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (.f64 x (.f64 x #s(literal 13456 binary64)))))
(/.f64 (.f64 x (.f64 x #s(literal -13456 binary64))) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (/.f64 x (.f64 x (.f64 x #s(literal 13456 binary64)))) #s(literal -1 binary64))
(*.f64 x #s(literal 13456 binary64))
(*.f64 #s(literal 13456 binary64) x)
(.f64 #s(literal 13456 binary64) (.f64 x #s(literal 1 binary64)))
(.f64 (.f64 x #s(literal 13456 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x (*.f64 x #s(literal 13456 binary64))) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 x x) (/.f64 #s(literal 13456 binary64) x))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1/116 binary64) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal 116 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 x #s(literal 116 binary64))) (.f64 x #s(literal 116 binary64)))
(neg.f64 (*.f64 x #s(literal 116 binary64)))
(/.f64 (*.f64 x #s(literal 13456 binary64)) #s(literal -116 binary64))
(/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (*.f64 x #s(literal -116 binary64)))
(/.f64 (*.f64 x #s(literal -116 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 x #s(literal 116 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/116 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/116 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (.f64 x (.f64 x #s(literal -116 binary64)))))
(/.f64 (.f64 x (.f64 x #s(literal -13456 binary64))) (*.f64 x #s(literal 116 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/116 binary64) x))
(/.f64 (*.f64 x #s(literal -13456 binary64)) #s(literal 116 binary64))
(/.f64 (.f64 x (.f64 x #s(literal -116 binary64))) x)
(/.f64 (.f64 (.f64 x #s(literal -116 binary64)) x) x)
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal 13456 binary64))) #s(literal -116 binary64))
(/.f64 (neg.f64 (.f64 x (.f64 x #s(literal -116 binary64)))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (.f64 (/.f64 x #s(literal -116 binary64)) (.f64 x #s(literal 13456 binary64))) x)
(/.f64 (.f64 (/.f64 (.f64 x x) #s(literal -116 binary64)) #s(literal 13456 binary64)) x)
(/.f64 (/.f64 (.f64 x (.f64 x #s(literal -13456 binary64))) x) #s(literal 116 binary64))
(/.f64 (/.f64 (.f64 x (.f64 x #s(literal -13456 binary64))) #s(literal -116 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 (.f64 x (.f64 x #s(literal -13456 binary64))) #s(literal -1 binary64)) (*.f64 x #s(literal -116 binary64)))
(pow.f64 (/.f64 #s(literal -1/116 binary64) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal -1/116 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (.f64 x (.f64 x #s(literal -116 binary64)))) #s(literal -1 binary64))
(*.f64 x #s(literal -116 binary64))
(*.f64 #s(literal 13456 binary64) (/.f64 x #s(literal -116 binary64)))
(.f64 #s(literal 13456 binary64) (.f64 (*.f64 x x) (/.f64 #s(literal -1/116 binary64) x)))
(.f64 #s(literal 13456 binary64) (/.f64 (.f64 x x) (*.f64 x #s(literal -116 binary64))))
(.f64 (.f64 x #s(literal 13456 binary64)) #s(literal -1/116 binary64))
(.f64 (.f64 x (*.f64 x #s(literal 13456 binary64))) (/.f64 #s(literal -1/116 binary64) x))
(*.f64 #s(literal -116 binary64) x)
(.f64 #s(literal -116 binary64) (.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal -116 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(*.f64 #s(literal -116 binary64) (/.f64 x #s(literal 1 binary64)))
(.f64 (.f64 x #s(literal -116 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x #s(literal 116 binary64)) (/.f64 x (-.f64 #s(literal 0 binary64) x)))
(.f64 (.f64 x #s(literal 116 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) x) x))
(.f64 #s(literal 1 binary64) (.f64 x #s(literal -116 binary64)))
(.f64 (/.f64 #s(literal -1/116 binary64) x) (.f64 x (*.f64 x #s(literal 13456 binary64))))
(.f64 (.f64 x (*.f64 x #s(literal -13456 binary64))) (/.f64 #s(literal 1/116 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 116 binary64))
(.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (.f64 x #s(literal 13456 binary64)) (*.f64 x #s(literal 116 binary64))))
(.f64 (.f64 x x) (/.f64 #s(literal -116 binary64) x))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal 116 binary64)))
(*.f64 #s(literal 116 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 x #s(literal -116 binary64)) #s(literal 13456 binary64))
(.f64 (.f64 x #s(literal 1 binary64)) #s(literal -116 binary64))
(.f64 (/.f64 (.f64 x x) #s(literal -116 binary64)) (/.f64 #s(literal 13456 binary64) x))
(.f64 (/.f64 #s(literal 13456 binary64) x) (/.f64 (.f64 x x) #s(literal -116 binary64)))
(.f64 #s(literal -1/116 binary64) (.f64 x #s(literal 13456 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (*.f64 x #s(literal -116 binary64))))
(.f64 (.f64 x #s(literal -13456 binary64)) (/.f64 x (*.f64 x #s(literal 116 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 #s(literal 13456 binary64) (*.f64 x #s(literal 116 binary64))))
(.f64 (.f64 x (*.f64 x #s(literal -116 binary64))) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 #s(literal -116 binary64) x) (.f64 x x))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -116 binary64))
(.f64 #s(literal 1/116 binary64) (/.f64 (.f64 x (*.f64 x #s(literal 13456 binary64))) (-.f64 #s(literal 0 binary64) x)))
(.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (.f64 x #s(literal -13456 binary64)) (*.f64 x #s(literal -116 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) #s(literal -116 binary64))
(.f64 (/.f64 x (-.f64 #s(literal 0 binary64) x)) (.f64 x #s(literal 116 binary64)))
(.f64 (/.f64 x #s(literal 116 binary64)) (/.f64 (.f64 x #s(literal -13456 binary64)) x))
(.f64 (/.f64 (.f64 x #s(literal -13456 binary64)) x) (/.f64 x #s(literal 116 binary64)))
(.f64 (/.f64 (.f64 x #s(literal 13456 binary64)) (-.f64 #s(literal 0 binary64) x)) (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -116 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -116 binary64)) (/.f64 (.f64 x #s(literal 13456 binary64)) (-.f64 #s(literal 0 binary64) x)))
(.f64 (/.f64 (.f64 x #s(literal 13456 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x #s(literal -116 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) x) (.f64 x #s(literal 116 binary64)))
(.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 0 binary64) x)) #s(literal 116 binary64))
(.f64 (/.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal -13456 binary64) (*.f64 x #s(literal -116 binary64))))
(.f64 (/.f64 (.f64 x x) #s(literal 116 binary64)) (/.f64 #s(literal -13456 binary64) x))
(.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (.f64 x (*.f64 x #s(literal 13456 binary64))) #s(literal 116 binary64)))
(.f64 (/.f64 (.f64 x #s(literal -13456 binary64)) #s(literal -1 binary64)) #s(literal -1/116 binary64))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) x) #s(literal 116 binary64))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -116 binary64)) (/.f64 #s(literal 13456 binary64) (-.f64 #s(literal 0 binary64) x)))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal -116 binary64) x))

simplify456.0ms (10.7%)

Algorithm

1×	egg-herbie

Rules

2170×	`fmm-def`
1952×	`-lowering-.f32`
1952×	`-lowering-.f64`
1894×	`fma-lowering-fma.f32`
1894×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	287
1	75	278
2	153	278
3	341	260
4	730	260
5	1220	260
6	2835	260
7	7051	260
0	8524	260

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
(/ -64/29 x)
(/ (- (* 116 (pow x 2)) 64/29) x)
(/ (- (* 116 (pow x 2)) 64/29) x)
(/ (- (* 116 (pow x 2)) 64/29) x)
(* 116 x)
(* x (- 116 (* 64/29 (/ 1 (pow x 2)))))
(* x (- 116 (* 64/29 (/ 1 (pow x 2)))))
(* x (- 116 (* 64/29 (/ 1 (pow x 2)))))
(* 116 x)
(* -1 (* x (- (* 64/29 (/ 1 (pow x 2))) 116)))
(* -1 (* x (- (* 64/29 (/ 1 (pow x 2))) 116)))
(* -1 (* x (- (* 64/29 (/ 1 (pow x 2))) 116)))
256
(+ 256 (* -13456 (pow x 2)))
(+ 256 (* -13456 (pow x 2)))
(+ 256 (* -13456 (pow x 2)))
(* -13456 (pow x 2))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))
(* -13456 (pow x 2))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))
(* 13456 (pow x 2))
(* 13456 (pow x 2))
(* 13456 (pow x 2))
(* 13456 (pow x 2))
(* 13456 (pow x 2))
(* 13456 (pow x 2))
(* 13456 (pow x 2))
(* 13456 (pow x 2))
(* 13456 (pow x 2))
(* 13456 (pow x 2))
(* 13456 (pow x 2))
(* 13456 (pow x 2))
(* 13456 x)
(* 13456 x)
(* 13456 x)
(* 13456 x)
(* 13456 x)
(* 13456 x)
(* 13456 x)
(* 13456 x)
(* 13456 x)
(* 13456 x)
(* 13456 x)
(* 13456 x)
(* -116 x)
(* -116 x)
(* -116 x)
(* -116 x)
(* -116 x)
(* -116 x)
(* -116 x)
(* -116 x)
(* -116 x)
(* -116 x)
(* -116 x)
(* -116 x)

Outputs
(/ -64/29 x)
(/.f64 #s(literal -64/29 binary64) x)
(/ (- (* 116 (pow x 2)) 64/29) x)
(+.f64 (*.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -64/29 binary64) x))
(/ (- (* 116 (pow x 2)) 64/29) x)
(+.f64 (*.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -64/29 binary64) x))
(/ (- (* 116 (pow x 2)) 64/29) x)
(+.f64 (*.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -64/29 binary64) x))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* x (- 116 (* 64/29 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -64/29 binary64) x))
(* x (- 116 (* 64/29 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -64/29 binary64) x))
(* x (- 116 (* 64/29 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -64/29 binary64) x))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* -1 (* x (- (* 64/29 (/ 1 (pow x 2))) 116)))
(+.f64 (*.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -64/29 binary64) x))
(* -1 (* x (- (* 64/29 (/ 1 (pow x 2))) 116)))
(+.f64 (*.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -64/29 binary64) x))
(* -1 (* x (- (* 64/29 (/ 1 (pow x 2))) 116)))
(+.f64 (*.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -64/29 binary64) x))
256
#s(literal 256 binary64)
(+ 256 (* -13456 (pow x 2)))
(+.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal -13456 binary64))))
(+ 256 (* -13456 (pow x 2)))
(+.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal -13456 binary64))))
(+ 256 (* -13456 (pow x 2)))
(+.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal -13456 binary64))))
(* -13456 (pow x 2))
(.f64 x (.f64 x #s(literal -13456 binary64)))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))
(+.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal -13456 binary64))))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))
(+.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal -13456 binary64))))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))
(+.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal -13456 binary64))))
(* -13456 (pow x 2))
(.f64 x (.f64 x #s(literal -13456 binary64)))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))
(+.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal -13456 binary64))))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))
(+.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal -13456 binary64))))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))
(+.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal -13456 binary64))))
(* 13456 (pow x 2))
(.f64 (.f64 x x) #s(literal 13456 binary64))
(* 13456 (pow x 2))
(.f64 (.f64 x x) #s(literal 13456 binary64))
(* 13456 (pow x 2))
(.f64 (.f64 x x) #s(literal 13456 binary64))
(* 13456 (pow x 2))
(.f64 (.f64 x x) #s(literal 13456 binary64))
(* 13456 (pow x 2))
(.f64 (.f64 x x) #s(literal 13456 binary64))
(* 13456 (pow x 2))
(.f64 (.f64 x x) #s(literal 13456 binary64))
(* 13456 (pow x 2))
(.f64 (.f64 x x) #s(literal 13456 binary64))
(* 13456 (pow x 2))
(.f64 (.f64 x x) #s(literal 13456 binary64))
(* 13456 (pow x 2))
(.f64 (.f64 x x) #s(literal 13456 binary64))
(* 13456 (pow x 2))
(.f64 (.f64 x x) #s(literal 13456 binary64))
(* 13456 (pow x 2))
(.f64 (.f64 x x) #s(literal 13456 binary64))
(* 13456 (pow x 2))
(.f64 (.f64 x x) #s(literal 13456 binary64))
(* 13456 x)
(*.f64 x #s(literal 13456 binary64))
(* 13456 x)
(*.f64 x #s(literal 13456 binary64))
(* 13456 x)
(*.f64 x #s(literal 13456 binary64))
(* 13456 x)
(*.f64 x #s(literal 13456 binary64))
(* 13456 x)
(*.f64 x #s(literal 13456 binary64))
(* 13456 x)
(*.f64 x #s(literal 13456 binary64))
(* 13456 x)
(*.f64 x #s(literal 13456 binary64))
(* 13456 x)
(*.f64 x #s(literal 13456 binary64))
(* 13456 x)
(*.f64 x #s(literal 13456 binary64))
(* 13456 x)
(*.f64 x #s(literal 13456 binary64))
(* 13456 x)
(*.f64 x #s(literal 13456 binary64))
(* 13456 x)
(*.f64 x #s(literal 13456 binary64))
(* -116 x)
(*.f64 x #s(literal -116 binary64))
(* -116 x)
(*.f64 x #s(literal -116 binary64))
(* -116 x)
(*.f64 x #s(literal -116 binary64))
(* -116 x)
(*.f64 x #s(literal -116 binary64))
(* -116 x)
(*.f64 x #s(literal -116 binary64))
(* -116 x)
(*.f64 x #s(literal -116 binary64))
(* -116 x)
(*.f64 x #s(literal -116 binary64))
(* -116 x)
(*.f64 x #s(literal -116 binary64))
(* -116 x)
(*.f64 x #s(literal -116 binary64))
(* -116 x)
(*.f64 x #s(literal -116 binary64))
(* -116 x)
(*.f64 x #s(literal -116 binary64))
(* -116 x)
(*.f64 x #s(literal -116 binary64))

eval65.0ms (1.5%)

Compiler: Compiled 11751 to 1331 computations (88.7% saved)

prune91.0ms (2.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	514	1	515
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	515	4	519

Accuracy

100.0%

Counts

519 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	31.2%	(/.f64 (.f64 x (.f64 x #s(literal -13456 binary64))) (*.f64 x #s(literal -116 binary64)))
✓	100.0%	(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
✓	53.2%	(*.f64 #s(literal 116 binary64) x)
✓	48.0%	#s(literal -16 binary64)

Compiler

Compiled 22 to 17 computations (22.7% saved)

simplify519.0ms (12.2%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x #s(literal -116 binary64))
✓	cost-diff	0	(*.f64 x #s(literal -13456 binary64))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal -13456 binary64)))
✓	cost-diff	384	(/.f64 (.f64 x (.f64 x #s(literal -13456 binary64))) (*.f64 x #s(literal -116 binary64)))

Rules

7564×	`-lowering-.f32`
7564×	`-lowering-.f64`
3860×	`cube-prod`
3506×	`pow-lowering-pow.f64`
3506×	`pow-lowering-pow.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	23
1	19	17
2	58	17
3	141	17
4	252	17
5	809	17
6	1861	17
7	2067	17
8	2276	17
9	2589	17
10	3011	17
11	3565	17
12	4263	17
13	4612	17
14	4807	17
15	4920	17
16	5037	17
17	5156	17
18	6054	17
19	6521	17
20	6703	17
21	6815	17
22	6924	17
23	7031	17
24	7138	17
25	7257	17
26	7408	17
27	7527	17
28	7646	17
0	8515	17

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (* x (* x -13456)) (* x -116))
(* x (* x -13456))
x
(* x -13456)
-13456
(* x -116)
-116

Outputs
(/ (* x (* x -13456)) (* x -116))
(*.f64 x #s(literal 116 binary64))
(* x (* x -13456))
(.f64 x (.f64 x #s(literal -13456 binary64)))
x
(* x -13456)
(*.f64 x #s(literal -13456 binary64))
-13456
#s(literal -13456 binary64)
(* x -116)
(*.f64 x #s(literal -116 binary64))
-116
#s(literal -116 binary64)

localize53.0ms (1.2%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x #s(literal -116 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal -13456 binary64))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal -13456 binary64)))
✓	accuracy	56.5%	(/.f64 (.f64 x (.f64 x #s(literal -13456 binary64))) (*.f64 x #s(literal -116 binary64)))

Results

43.0ms	246×	0	valid
1.0ms	10×	1	valid

Compiler

Compiled 25 to 8 computations (68% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 32.0ms (91.9% of total)

ival-div: 2.0ms (5.7% of total)

const: 0.0ms (0% of total)

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

series1.0ms (0%)

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (/ (* x (* x -13456)) (* x -116))>
#<alt (* x (* x -13456))>
#<alt (* x -13456)>
#<alt (* x -116)>

Outputs
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* -13456 (pow x 2))>
#<alt (* -13456 (pow x 2))>
#<alt (* -13456 (pow x 2))>
#<alt (* -13456 (pow x 2))>
#<alt (* -13456 (pow x 2))>
#<alt (* -13456 (pow x 2))>
#<alt (* -13456 (pow x 2))>
#<alt (* -13456 (pow x 2))>
#<alt (* -13456 (pow x 2))>
#<alt (* -13456 (pow x 2))>
#<alt (* -13456 (pow x 2))>
#<alt (* -13456 (pow x 2))>
#<alt (* -13456 x)>
#<alt (* -13456 x)>
#<alt (* -13456 x)>
#<alt (* -13456 x)>
#<alt (* -13456 x)>
#<alt (* -13456 x)>
#<alt (* -13456 x)>
#<alt (* -13456 x)>
#<alt (* -13456 x)>
#<alt (* -13456 x)>
#<alt (* -13456 x)>
#<alt (* -13456 x)>
#<alt (* -116 x)>
#<alt (* -116 x)>
#<alt (* -116 x)>
#<alt (* -116 x)>
#<alt (* -116 x)>
#<alt (* -116 x)>
#<alt (* -116 x)>
#<alt (* -116 x)>
#<alt (* -116 x)>
#<alt (* -116 x)>
#<alt (* -116 x)>
#<alt (* -116 x)>

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(* x -13456)
0.0ms	x	@	0	(* x (* x -13456))
0.0ms	x	@	inf	(* x (* x -13456))
0.0ms	x	@	inf	(/ (* x (* x -13456)) (* x -116))
0.0ms	x	@	0	(/ (* x (* x -13456)) (* x -116))

rewrite186.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3114×	`-lowering-.f32`
3114×	`-lowering-.f64`
1844×	`/-lowering-/.f32`
1844×	`/-lowering-/.f64`
1716×	`unpow-prod-down`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	27	14
2	179	14
3	1741	14
0	8234	14

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 542

Calls

Call 1

Inputs
(/ (* x (* x -13456)) (* x -116))
(* x (* x -13456))
(* x -13456)
(* x -116)

Outputs
(+.f64 (/.f64 x #s(literal 1/116 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 x #s(literal 1/116 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1/116 binary64) x) #s(literal 0 binary64)) (/.f64 x #s(literal 1/116 binary64)))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1/116 binary64) x))))
(-.f64 #s(literal 0 binary64) (/.f64 x #s(literal -1/116 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 x #s(literal -116 binary64))) (/.f64 x #s(literal -1/116 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/13456 binary64) (*.f64 x x))) (/.f64 x #s(literal -1/116 binary64)))
(neg.f64 (/.f64 x #s(literal -1/116 binary64)))
(/.f64 x #s(literal 1/116 binary64))
(/.f64 #s(literal -13456 binary64) (/.f64 #s(literal -116 binary64) x))
(/.f64 (*.f64 x #s(literal -13456 binary64)) #s(literal -116 binary64))
(/.f64 (/.f64 x (/.f64 #s(literal -1/13456 binary64) x)) (/.f64 x #s(literal -1/116 binary64)))
(/.f64 (/.f64 x #s(literal -1/116 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 x #s(literal -1/116 binary64)) (*.f64 (/.f64 x #s(literal 1/116 binary64)) (/.f64 #s(literal -1/116 binary64) x)))
(/.f64 (/.f64 x (/.f64 #s(literal 1/13456 binary64) x)) (/.f64 x #s(literal 1/116 binary64)))
(/.f64 (/.f64 x #s(literal 1/116 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 x #s(literal 1/116 binary64)) (*.f64 (/.f64 x #s(literal 1/116 binary64)) (/.f64 #s(literal 1/116 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/116 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/116 binary64) (/.f64 (/.f64 x (/.f64 #s(literal -1/13456 binary64) x)) (*.f64 x #s(literal 13456 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 116 binary64) x) (/.f64 (/.f64 x (/.f64 #s(literal 1/13456 binary64) x)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x #s(literal -116 binary64)) (/.f64 (/.f64 x (/.f64 #s(literal -1/13456 binary64) x)) #s(literal 13456 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -13456 binary64) (/.f64 (/.f64 x (/.f64 #s(literal -1/13456 binary64) x)) (/.f64 x #s(literal 116 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -13456 binary64) x) (/.f64 (/.f64 x (/.f64 #s(literal -1/13456 binary64) x)) (/.f64 x (/.f64 #s(literal 116 binary64) x)))))
(/.f64 (/.f64 #s(literal 1/116 binary64) x) (/.f64 #s(literal 1/13456 binary64) (*.f64 x x)))
(/.f64 (/.f64 #s(literal -1/116 binary64) x) (/.f64 #s(literal -1/13456 binary64) (*.f64 x x)))
(/.f64 (*.f64 x x) (/.f64 x #s(literal 116 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/116 binary64) x))
(/.f64 (*.f64 x #s(literal 13456 binary64)) #s(literal 116 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/116 binary64))
(/.f64 #s(literal 116 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 x #s(literal -116 binary64)) #s(literal -1/13456 binary64))
(/.f64 (/.f64 #s(literal -13456 binary64) x) (/.f64 #s(literal -116 binary64) (*.f64 x x)))
(/.f64 (/.f64 x (/.f64 #s(literal -116 binary64) x)) (/.f64 x #s(literal -13456 binary64)))
(/.f64 #s(literal 1/116 binary64) (/.f64 #s(literal 1/13456 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/116 binary64) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 x #s(literal -116 binary64)))
(/.f64 #s(literal 13456 binary64) (/.f64 #s(literal 116 binary64) x))
(/.f64 (/.f64 x (/.f64 #s(literal 1/116 binary64) x)) x)
(/.f64 #s(literal -1/116 binary64) (/.f64 #s(literal -1/13456 binary64) x))
(/.f64 (/.f64 (.f64 x #s(literal -13456 binary64)) (/.f64 #s(literal 1/116 binary64) x)) (.f64 x #s(literal -13456 binary64)))
(/.f64 (/.f64 (.f64 x #s(literal -13456 binary64)) (/.f64 x (/.f64 #s(literal -1/13456 binary64) x))) (/.f64 #s(literal 1/116 binary64) (.f64 x x)))
(/.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 1/13456 binary64))
(/.f64 (/.f64 (/.f64 x (/.f64 #s(literal -1/13456 binary64) x)) (*.f64 x #s(literal -13456 binary64))) #s(literal 1/116 binary64))
(/.f64 (/.f64 (/.f64 x (/.f64 #s(literal -1/13456 binary64) x)) (*.f64 x x)) (/.f64 #s(literal -116 binary64) x))
(/.f64 (/.f64 (/.f64 x (/.f64 #s(literal -1/13456 binary64) x)) (*.f64 x #s(literal 13456 binary64))) #s(literal -1/116 binary64))
(/.f64 (/.f64 (/.f64 x (/.f64 #s(literal 1/13456 binary64) x)) (*.f64 x x)) (/.f64 #s(literal 116 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1/116 binary64) (*.f64 x x)))
(/.f64 (/.f64 (/.f64 x (/.f64 #s(literal -1/13456 binary64) x)) #s(literal 13456 binary64)) (/.f64 x #s(literal -116 binary64)))
(/.f64 (/.f64 (/.f64 x (/.f64 #s(literal -1/13456 binary64) x)) #s(literal -13456 binary64)) (/.f64 x #s(literal 116 binary64)))
(/.f64 (/.f64 (*.f64 x #s(literal -13456 binary64)) (/.f64 x #s(literal 116 binary64))) (/.f64 #s(literal -13456 binary64) x))
(/.f64 (/.f64 x (/.f64 #s(literal -1/116 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 (/.f64 x (/.f64 #s(literal -1/13456 binary64) x)) (/.f64 x #s(literal -116 binary64))) #s(literal 13456 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal -1560896 binary64) (.f64 x (*.f64 x x)))) (/.f64 x (/.f64 #s(literal 1/13456 binary64) x)))
(/.f64 (/.f64 x (/.f64 #s(literal 116 binary64) x)) (/.f64 x #s(literal 13456 binary64)))
(/.f64 (*.f64 x (/.f64 x (/.f64 #s(literal 1/13456 binary64) x))) (/.f64 x (/.f64 #s(literal 1/116 binary64) x)))
(/.f64 (.f64 #s(literal -116 binary64) (/.f64 x (/.f64 #s(literal 1/13456 binary64) x))) (.f64 x #s(literal -13456 binary64)))
(/.f64 (.f64 #s(literal -1560896 binary64) (.f64 x (*.f64 x x))) (/.f64 x (/.f64 #s(literal -1/13456 binary64) x)))
(/.f64 (.f64 #s(literal -1560896 binary64) (.f64 x (.f64 x x))) (.f64 (/.f64 x #s(literal 1/116 binary64)) (/.f64 x #s(literal -1/116 binary64))))
(/.f64 (/.f64 (/.f64 x (/.f64 #s(literal -1/13456 binary64) x)) (/.f64 x (/.f64 #s(literal -116 binary64) x))) (/.f64 #s(literal 13456 binary64) x))
(/.f64 (/.f64 (/.f64 x (/.f64 #s(literal -1/13456 binary64) x)) (/.f64 x #s(literal 116 binary64))) #s(literal -13456 binary64))
(/.f64 (/.f64 (/.f64 x (/.f64 #s(literal -1/13456 binary64) x)) (/.f64 x (/.f64 #s(literal 116 binary64) x))) (/.f64 #s(literal -13456 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 x #s(literal 1/116 binary64)) (.f64 x #s(literal -13456 binary64)))) (*.f64 (/.f64 x #s(literal 1/116 binary64)) #s(literal 116 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 x #s(literal 1/116 binary64))) (.f64 (/.f64 x #s(literal 1/116 binary64)) (/.f64 x (/.f64 #s(literal -1/13456 binary64) x)))) (/.f64 x (/.f64 #s(literal 1/13456 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x #s(literal 1/116 binary64)) (/.f64 x #s(literal -1/116 binary64)))) (/.f64 x #s(literal 1/116 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 x #s(literal 1/116 binary64)) (.f64 x #s(literal 13456 binary64)))) (*.f64 (/.f64 x #s(literal 1/116 binary64)) #s(literal -116 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (.f64 (/.f64 x #s(literal 1/116 binary64)) (/.f64 x (/.f64 #s(literal 1/116 binary64) x)))) (/.f64 x (/.f64 #s(literal -1/116 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 x #s(literal 1/116 binary64)) (/.f64 (/.f64 x (/.f64 #s(literal -1/13456 binary64) x)) (.f64 x #s(literal -13456 binary64))))) (*.f64 (/.f64 x #s(literal 1/116 binary64)) #s(literal -1/116 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 116 binary64) x)) (.f64 (/.f64 x #s(literal 1/116 binary64)) (/.f64 (/.f64 x (/.f64 #s(literal -1/13456 binary64) x)) (.f64 x x)))) (.f64 (/.f64 x #s(literal 1/116 binary64)) (/.f64 #s(literal 116 binary64) x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 x #s(literal -116 binary64))) (.f64 (/.f64 x #s(literal 1/116 binary64)) (/.f64 (/.f64 x (/.f64 #s(literal -1/13456 binary64) x)) #s(literal -13456 binary64)))) (*.f64 (/.f64 x #s(literal 1/116 binary64)) (/.f64 x #s(literal -116 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) x) (.f64 (/.f64 x #s(literal 1/116 binary64)) (/.f64 x (/.f64 #s(literal -1/116 binary64) x)))) (/.f64 x (/.f64 #s(literal 1/116 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 x #s(literal 1/116 binary64)) (/.f64 (/.f64 x (/.f64 #s(literal -1/13456 binary64) x)) (/.f64 x #s(literal -116 binary64))))) (.f64 (/.f64 x #s(literal 1/116 binary64)) #s(literal -13456 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 x #s(literal 1/116 binary64)) (-.f64 #s(literal 0 binary64) (.f64 #s(literal -1560896 binary64) (.f64 x (.f64 x x)))))) (*.f64 (/.f64 x #s(literal 1/116 binary64)) (/.f64 x (/.f64 #s(literal -1/13456 binary64) x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal -13456 binary64) x)) (.f64 (/.f64 x #s(literal 1/116 binary64)) (/.f64 (/.f64 x (/.f64 #s(literal -1/13456 binary64) x)) (/.f64 x (/.f64 #s(literal -116 binary64) x))))) (*.f64 (/.f64 x #s(literal 1/116 binary64)) (/.f64 #s(literal -13456 binary64) x)))
(/.f64 (neg.f64 (.f64 #s(literal -116 binary64) (/.f64 x (/.f64 #s(literal 1/13456 binary64) x)))) (.f64 x #s(literal 13456 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x #s(literal 1/116 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (/.f64 x (/.f64 #s(literal 1/13456 binary64) x)) (*.f64 #s(literal 0 binary64) (/.f64 x #s(literal 1/116 binary64))))))
(pow.f64 (/.f64 x #s(literal 1/116 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1/116 binary64) x) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 x #s(literal 1/116 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1/116 binary64) x) (/.f64 #s(literal 1/116 binary64) x)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(literal 1/116 binary64) x))) #s(literal -1 binary64))
(*.f64 x #s(literal 116 binary64))
(*.f64 x (/.f64 (/.f64 x (/.f64 #s(literal -1/13456 binary64) x)) (/.f64 x (/.f64 #s(literal -1/116 binary64) x))))
(*.f64 #s(literal -13456 binary64) (/.f64 x #s(literal -116 binary64)))
(.f64 (.f64 x #s(literal -13456 binary64)) #s(literal -1/116 binary64))
(*.f64 (/.f64 x (/.f64 #s(literal -1/13456 binary64) x)) (/.f64 #s(literal -1/116 binary64) x))
(*.f64 #s(literal -116 binary64) (-.f64 #s(literal 0 binary64) x))
(.f64 #s(literal -116 binary64) (/.f64 (/.f64 x (/.f64 #s(literal -1/13456 binary64) x)) (.f64 x #s(literal 13456 binary64))))
(.f64 #s(literal -116 binary64) (/.f64 (.f64 x #s(literal -13456 binary64)) #s(literal 13456 binary64)))
(.f64 #s(literal -116 binary64) (pow.f64 (/.f64 #s(literal -13456 binary64) (.f64 x #s(literal 13456 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -116 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 x #s(literal -1/116 binary64)) #s(literal -1 binary64))
(*.f64 (/.f64 x (/.f64 #s(literal 1/13456 binary64) x)) (/.f64 #s(literal 1/116 binary64) x))
(*.f64 (/.f64 x #s(literal 1/116 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1/116 binary64)))
(*.f64 (/.f64 #s(literal 1/116 binary64) x) (/.f64 x (/.f64 #s(literal 1/13456 binary64) x)))
(.f64 (/.f64 #s(literal 1/116 binary64) x) (pow.f64 (/.f64 #s(literal 1/13456 binary64) (.f64 x x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1/116 binary64) x) (/.f64 x (/.f64 #s(literal -1/13456 binary64) x)))
(.f64 (.f64 x x) (/.f64 #s(literal 116 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 x #s(literal -1/116 binary64)))
(.f64 (.f64 x #s(literal 13456 binary64)) #s(literal 1/116 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -116 binary64))
(*.f64 #s(literal 116 binary64) x)
(.f64 #s(literal 116 binary64) (/.f64 (.f64 x #s(literal -13456 binary64)) #s(literal -13456 binary64)))
(.f64 #s(literal 116 binary64) (/.f64 (/.f64 x (/.f64 #s(literal -1/13456 binary64) x)) (.f64 x #s(literal -13456 binary64))))
(.f64 #s(literal 116 binary64) (pow.f64 (/.f64 #s(literal -13456 binary64) (.f64 x #s(literal -13456 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 x #s(literal -116 binary64)) #s(literal -13456 binary64))
(*.f64 (/.f64 #s(literal -13456 binary64) x) (/.f64 x (/.f64 #s(literal -116 binary64) x)))
(*.f64 (/.f64 x (/.f64 #s(literal -116 binary64) x)) (/.f64 #s(literal -13456 binary64) x))
(.f64 (/.f64 x (/.f64 #s(literal -116 binary64) x)) (/.f64 (.f64 x #s(literal -13456 binary64)) (*.f64 x x)))
(.f64 #s(literal -1/13456 binary64) (/.f64 (.f64 x #s(literal -13456 binary64)) #s(literal 1/116 binary64)))
(*.f64 #s(literal -1/13456 binary64) (/.f64 (/.f64 x (/.f64 #s(literal -1/13456 binary64) x)) (/.f64 x #s(literal 116 binary64))))
(.f64 #s(literal -1/13456 binary64) (pow.f64 (/.f64 #s(literal 1/116 binary64) (.f64 x #s(literal -13456 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1/13456 binary64) (pow.f64 (/.f64 (/.f64 x #s(literal -116 binary64)) (/.f64 x (/.f64 #s(literal 1/13456 binary64) x))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -116 binary64) x) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(*.f64 (/.f64 #s(literal -116 binary64) x) (/.f64 (/.f64 x (/.f64 #s(literal -1/13456 binary64) x)) #s(literal 13456 binary64)))
(.f64 (/.f64 #s(literal -116 binary64) x) (/.f64 (.f64 x #s(literal -13456 binary64)) (/.f64 #s(literal 13456 binary64) x)))
(*.f64 (/.f64 #s(literal -116 binary64) x) (pow.f64 (/.f64 #s(literal -13456 binary64) (/.f64 x (/.f64 #s(literal 1/13456 binary64) x))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -116 binary64) x) (pow.f64 (/.f64 (/.f64 #s(literal -13456 binary64) x) (.f64 x #s(literal 13456 binary64))) #s(literal -1 binary64)))
(.f64 #s(literal 1/116 binary64) (.f64 x #s(literal 13456 binary64)))
(.f64 (/.f64 #s(literal -116 binary64) (.f64 x x)) (pow.f64 (/.f64 (/.f64 #s(literal -13456 binary64) x) (/.f64 x (/.f64 #s(literal 1/13456 binary64) x))) #s(literal -1 binary64)))
(.f64 (/.f64 x #s(literal -13456 binary64)) (/.f64 (.f64 x #s(literal -13456 binary64)) (/.f64 x #s(literal 116 binary64))))
(*.f64 (/.f64 x #s(literal -13456 binary64)) (/.f64 (/.f64 x (/.f64 #s(literal -1/13456 binary64) x)) (/.f64 x (/.f64 #s(literal 116 binary64) x))))
(.f64 (/.f64 x #s(literal -13456 binary64)) (pow.f64 (/.f64 (/.f64 x #s(literal -116 binary64)) (.f64 x #s(literal 13456 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1/13456 binary64) x) (/.f64 (.f64 x #s(literal -13456 binary64)) (/.f64 #s(literal 1/116 binary64) x)))
(.f64 (/.f64 #s(literal -1/13456 binary64) x) (.f64 #s(literal -116 binary64) (/.f64 x (/.f64 #s(literal 1/13456 binary64) x))))
(.f64 (/.f64 #s(literal -1/13456 binary64) x) (pow.f64 (/.f64 (/.f64 #s(literal 1/116 binary64) x) (.f64 x #s(literal -13456 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1/13456 binary64) x) (pow.f64 (/.f64 #s(literal 1/116 binary64) (/.f64 x (/.f64 #s(literal -1/13456 binary64) x))) #s(literal -1 binary64)))
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(pow.f64 (/.f64 x #s(literal -1/116 binary64)) #s(literal 1 binary64))
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(*.f64 x #s(literal -116 binary64))
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(.f64 (/.f64 #s(literal -13456 binary64) (/.f64 x (/.f64 #s(literal -116 binary64) x))) (/.f64 (.f64 x x) (/.f64 #s(literal -13456 binary64) x)))
(.f64 (/.f64 (.f64 x x) (/.f64 #s(literal -13456 binary64) x)) (/.f64 #s(literal -13456 binary64) (/.f64 x (/.f64 #s(literal -116 binary64) x))))
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(.f64 (/.f64 x (/.f64 #s(literal -13456 binary64) x)) (/.f64 (.f64 x #s(literal -13456 binary64)) (/.f64 x (/.f64 #s(literal -116 binary64) x))))
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(.f64 #s(literal 1560896 binary64) (/.f64 (.f64 x x) (*.f64 x #s(literal -13456 binary64))))
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(.f64 (/.f64 #s(literal -13456 binary64) (/.f64 #s(literal -13456 binary64) x)) (/.f64 (.f64 x x) (/.f64 x (/.f64 #s(literal -116 binary64) x))))
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(.f64 (/.f64 (/.f64 x (/.f64 #s(literal -1/13456 binary64) x)) (.f64 x #s(literal -13456 binary64))) #s(literal -116 binary64))
(.f64 (/.f64 (/.f64 x (/.f64 #s(literal -1/13456 binary64) x)) (.f64 x x)) (/.f64 x #s(literal 116 binary64)))
(.f64 (/.f64 (/.f64 x (/.f64 #s(literal -1/13456 binary64) x)) (.f64 x #s(literal 13456 binary64))) #s(literal 116 binary64))
(.f64 (/.f64 x #s(literal 13456 binary64)) (/.f64 (.f64 x #s(literal -13456 binary64)) (/.f64 x #s(literal 116 binary64))))
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(*.f64 (/.f64 (/.f64 x (/.f64 #s(literal -1/13456 binary64) x)) #s(literal 13456 binary64)) (/.f64 #s(literal 116 binary64) x))
(*.f64 (/.f64 (/.f64 x (/.f64 #s(literal -1/13456 binary64) x)) #s(literal -13456 binary64)) (/.f64 #s(literal -116 binary64) x))
(.f64 (/.f64 (.f64 x x) (*.f64 x #s(literal 13456 binary64))) #s(literal -1560896 binary64))
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(.f64 (/.f64 #s(literal 1/13456 binary64) x) (.f64 #s(literal -116 binary64) (/.f64 x (/.f64 #s(literal 1/13456 binary64) x))))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (neg.f64 (/.f64 (/.f64 x (/.f64 #s(literal -1/13456 binary64) x)) (/.f64 #s(literal 116 binary64) x))))
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(*.f64 (/.f64 (/.f64 x (/.f64 #s(literal -1/13456 binary64) x)) (/.f64 x #s(literal -116 binary64))) #s(literal -1/13456 binary64))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal -1560896 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/13456 binary64) (*.f64 x x)))
(.f64 (/.f64 #s(literal 116 binary64) (.f64 x x)) (neg.f64 (/.f64 (/.f64 x (/.f64 #s(literal -1/13456 binary64) x)) (/.f64 #s(literal -13456 binary64) x))))
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(.f64 (/.f64 #s(literal 1/13456 binary64) (.f64 x x)) (.f64 #s(literal -1560896 binary64) (.f64 x (*.f64 x x))))
(*.f64 (pow.f64 (/.f64 x #s(literal 1/116 binary64)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (/.f64 x #s(literal 1/116 binary64)) #s(literal 1/2 binary64))))
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(.f64 (/.f64 x (/.f64 #s(literal 116 binary64) x)) (/.f64 (.f64 x #s(literal -13456 binary64)) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 13456 binary64) x) (/.f64 x (/.f64 #s(literal -116 binary64) x)))
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(.f64 (.f64 #s(literal -116 binary64) (/.f64 x (/.f64 #s(literal 1/13456 binary64) x))) (/.f64 #s(literal 1/13456 binary64) x))
(.f64 (.f64 #s(literal -1560896 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1/13456 binary64) (*.f64 x x)))
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(*.f64 (/.f64 (/.f64 x (/.f64 #s(literal -1/13456 binary64) x)) (/.f64 x (/.f64 #s(literal 1/116 binary64) x))) x)
(*.f64 (/.f64 (/.f64 x (/.f64 #s(literal -1/13456 binary64) x)) (/.f64 x (/.f64 #s(literal -1/116 binary64) x))) (-.f64 #s(literal 0 binary64) x))
(.f64 (neg.f64 (.f64 #s(literal -116 binary64) (/.f64 x (/.f64 #s(literal 1/13456 binary64) x)))) (/.f64 #s(literal -1/13456 binary64) x))
(.f64 (neg.f64 (/.f64 (.f64 x x) #s(literal 13456 binary64))) (/.f64 #s(literal -13456 binary64) (/.f64 x #s(literal -116 binary64))))
(.f64 (neg.f64 (/.f64 (.f64 x x) (/.f64 x (/.f64 #s(literal 116 binary64) x)))) (/.f64 #s(literal -13456 binary64) (/.f64 #s(literal -13456 binary64) x)))
(*.f64 (neg.f64 (pow.f64 (/.f64 x #s(literal 1/116 binary64)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 x #s(literal 1/116 binary64)) #s(literal 1/2 binary64)))

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

22×	`-lowering-.f32`
22×	`-lowering-.f64`
8×	`*-commutative`
2×	`pow-lowering-pow.f64`
2×	`pow-lowering-pow.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	168
1	15	168
2	17	168
0	17	168

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 48

Calls

Call 1

Inputs
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* -13456 (pow x 2))
(* -13456 (pow x 2))
(* -13456 (pow x 2))
(* -13456 (pow x 2))
(* -13456 (pow x 2))
(* -13456 (pow x 2))
(* -13456 (pow x 2))
(* -13456 (pow x 2))
(* -13456 (pow x 2))
(* -13456 (pow x 2))
(* -13456 (pow x 2))
(* -13456 (pow x 2))
(* -13456 x)
(* -13456 x)
(* -13456 x)
(* -13456 x)
(* -13456 x)
(* -13456 x)
(* -13456 x)
(* -13456 x)
(* -13456 x)
(* -13456 x)
(* -13456 x)
(* -13456 x)
(* -116 x)
(* -116 x)
(* -116 x)
(* -116 x)
(* -116 x)
(* -116 x)
(* -116 x)
(* -116 x)
(* -116 x)
(* -116 x)
(* -116 x)
(* -116 x)

Outputs
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* -13456 (pow x 2))
(.f64 x (.f64 x #s(literal -13456 binary64)))
(* -13456 (pow x 2))
(.f64 x (.f64 x #s(literal -13456 binary64)))
(* -13456 (pow x 2))
(.f64 x (.f64 x #s(literal -13456 binary64)))
(* -13456 (pow x 2))
(.f64 x (.f64 x #s(literal -13456 binary64)))
(* -13456 (pow x 2))
(.f64 x (.f64 x #s(literal -13456 binary64)))
(* -13456 (pow x 2))
(.f64 x (.f64 x #s(literal -13456 binary64)))
(* -13456 (pow x 2))
(.f64 x (.f64 x #s(literal -13456 binary64)))
(* -13456 (pow x 2))
(.f64 x (.f64 x #s(literal -13456 binary64)))
(* -13456 (pow x 2))
(.f64 x (.f64 x #s(literal -13456 binary64)))
(* -13456 (pow x 2))
(.f64 x (.f64 x #s(literal -13456 binary64)))
(* -13456 (pow x 2))
(.f64 x (.f64 x #s(literal -13456 binary64)))
(* -13456 (pow x 2))
(.f64 x (.f64 x #s(literal -13456 binary64)))
(* -13456 x)
(*.f64 x #s(literal -13456 binary64))
(* -13456 x)
(*.f64 x #s(literal -13456 binary64))
(* -13456 x)
(*.f64 x #s(literal -13456 binary64))
(* -13456 x)
(*.f64 x #s(literal -13456 binary64))
(* -13456 x)
(*.f64 x #s(literal -13456 binary64))
(* -13456 x)
(*.f64 x #s(literal -13456 binary64))
(* -13456 x)
(*.f64 x #s(literal -13456 binary64))
(* -13456 x)
(*.f64 x #s(literal -13456 binary64))
(* -13456 x)
(*.f64 x #s(literal -13456 binary64))
(* -13456 x)
(*.f64 x #s(literal -13456 binary64))
(* -13456 x)
(*.f64 x #s(literal -13456 binary64))
(* -13456 x)
(*.f64 x #s(literal -13456 binary64))
(* -116 x)
(*.f64 x #s(literal -116 binary64))
(* -116 x)
(*.f64 x #s(literal -116 binary64))
(* -116 x)
(*.f64 x #s(literal -116 binary64))
(* -116 x)
(*.f64 x #s(literal -116 binary64))
(* -116 x)
(*.f64 x #s(literal -116 binary64))
(* -116 x)
(*.f64 x #s(literal -116 binary64))
(* -116 x)
(*.f64 x #s(literal -116 binary64))
(* -116 x)
(*.f64 x #s(literal -116 binary64))
(* -116 x)
(*.f64 x #s(literal -116 binary64))
(* -116 x)
(*.f64 x #s(literal -116 binary64))
(* -116 x)
(*.f64 x #s(literal -116 binary64))
(* -116 x)
(*.f64 x #s(literal -116 binary64))

eval83.0ms (1.9%)

Compiler: Compiled 8022 to 1235 computations (84.6% saved)

prune128.0ms (3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	589	1	590
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	590	4	594

Accuracy

100.0%

Counts

594 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
	53.0%	(*.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 13456 binary64))
✓	53.2%	(*.f64 #s(literal 116 binary64) x)
✓	48.0%	#s(literal -16 binary64)

Compiler

Compiled 66 to 38 computations (42.4% saved)

regimes8.0ms (0.2%)

Counts

7 → 1

Calls

Call 1

Inputs
#s(literal -16 binary64)
(*.f64 #s(literal 116 binary64) x)
(*.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 13456 binary64))
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
(/.f64 (.f64 x (.f64 x #s(literal -13456 binary64))) (*.f64 x #s(literal -116 binary64)))
(/.f64 (-.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal 13456 binary64)))) (*.f64 x #s(literal -116 binary64)))
(/.f64 (-.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal 13456 binary64)))) (-.f64 #s(literal -16 binary64) (*.f64 x #s(literal 116 binary64))))

Outputs
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))

Calls

3 calls:

3.0ms	(*.f64 x #s(literal 116 binary64))
3.0ms	x
2.0ms	(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))

Results

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

Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0%)

Counts

3 → 3

Calls

Call 1

Inputs
#s(literal -16 binary64)
(*.f64 #s(literal 116 binary64) x)
(*.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 13456 binary64))

Outputs
(*.f64 #s(literal 116 binary64) x)
#s(literal -16 binary64)
(*.f64 #s(literal 116 binary64) x)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
97.7%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -16 binary64)

Outputs
#s(literal -16 binary64)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
48.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch29.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	0.0002324836732831325	62.35248021244561
7.0ms	-15.28120260700809	-0.11517011308111706

Results

19.0ms

256×

valid

Compiler

Compiled 138 to 120 computations (13% saved)

Precisions

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

ival-sub: 8.0ms (79.5% of total)

ival-mult: 2.0ms (19.9% of total)

const: 0.0ms (0% of total)

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

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	19
1	20	19
2	25	19
3	27	19
4	28	19

Stop Event

1×

saturated

Calls

Call 1

Inputs

(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))

(if (<=.f64 x #s(literal -607985949695017/4503599627370496 binary64)) (*.f64 #s(literal 116 binary64) x) (if (<=.f64 x #s(literal 1261007895663739/9007199254740992 binary64)) #s(literal -16 binary64) (*.f64 #s(literal 116 binary64) x)))

#s(literal -16 binary64)

Outputs
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
(if (<=.f64 x #s(literal -607985949695017/4503599627370496 binary64)) (.f64 #s(literal 116 binary64) x) (if (<=.f64 x #s(literal 1261007895663739/9007199254740992 binary64)) #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x)))
(if (<=.f64 x #s(literal -607985949695017/4503599627370496 binary64)) (.f64 x #s(literal 116 binary64)) (if (<=.f64 x #s(literal 1261007895663739/9007199254740992 binary64)) #s(literal -16 binary64) (.f64 x #s(literal 116 binary64))))
#s(literal -16 binary64)

soundness44.0ms (1%)

Rules

248×	`fma-define`
220×	`fma-lowering-fma.f32`
220×	`fma-lowering-fma.f64`
210×	`fmsub-define`
182×	`sum3-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	79
1	41	79
2	87	79
3	195	79
4	358	79
5	421	79
6	528	79
7	641	79
8	753	79
9	916	79
10	945	79
0	945	79

Stop Event

1×	fuel
1×	iter limit
1×	saturated

Compiler

Compiled 30 to 19 computations (36.7% saved)

preprocess29.0ms (0.7%)

Compiler: Compiled 56 to 34 computations (39.3% saved)

Iter	Nodes	Cost
0	9	15
1	26	13
2	59	12
3	117	12
4	262	12
5	424	12
6	498	12
7	518	12
8	535	12
9	549	12
10	553	12
0	5	4
1	11	4
2	14	4
0	14	4

Iter	Nodes	Cost
0	15	79
1	41	79
2	87	79
3	195	79
4	358	79
5	421	79
6	528	79
7	641	79
8	753	79
9	916	79
10	945	79
0	945	79

Iter	Nodes	Cost
0	15	79
1	41	79
2	87	79
3	195	79
4	358	79
5	421	79
6	528	79
7	641	79
8	753	79
9	916	79
10	945	79
0	945	79

Iter	Nodes	Cost
0	9	15
1	26	13
2	59	12
3	117	12
4	262	12
5	424	12
6	498	12
7	518	12
8	535	12
9	549	12
10	553	12
0	5	4
1	11	4
2	14	4
0	14	4

Iter	Nodes	Cost
0	15	79
1	41	79
2	87	79
3	195	79
4	358	79
5	421	79
6	528	79
7	641	79
8	753	79
9	916	79
10	945	79
0	945	79

Iter	Nodes	Cost
0	15	79
1	41	79
2	87	79
3	195	79
4	358	79
5	421	79
6	528	79
7	641	79
8	753	79
9	916	79
10	945	79
0	945	79

analyze0.0ms (0%)

sample621.0ms (14.6%)

preprocess29.0ms (0.7%)

explain45.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize19.0ms (0.5%)

series2.0ms (0%)

rewrite387.0ms (9.1%)

simplify26.0ms (0.6%)

eval74.0ms (1.7%)

prune36.0ms (0.8%)

simplify115.0ms (2.7%)

localize52.0ms (1.2%)

series4.0ms (0.1%)

rewrite306.0ms (7.2%)

simplify206.0ms (4.8%)

eval66.0ms (1.5%)

prune57.0ms (1.3%)

simplify169.0ms (4%)

localize50.0ms (1.2%)

series2.0ms (0%)

rewrite275.0ms (6.4%)

simplify456.0ms (10.7%)

eval65.0ms (1.5%)

prune91.0ms (2.1%)

simplify519.0ms (12.2%)

localize53.0ms (1.2%)

series1.0ms (0%)

rewrite186.0ms (4.4%)

simplify10.0ms (0.2%)

eval83.0ms (1.9%)

prune128.0ms (3%)

regimes8.0ms (0.2%)

regimes2.0ms (0%)

regimes2.0ms (0.1%)

bsearch29.0ms (0.7%)

simplify8.0ms (0.2%)

soundness44.0ms (1%)

preprocess29.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	9	15
1	26	13
2	59	12
3	117	12
4	262	12
5	424	12
6	498	12
7	518	12
8	535	12
9	549	12
10	553	12
0	5	4
1	11	4
2	14	4
0	14	4

Iter	Nodes	Cost
0	15	79
1	41	79
2	87	79
3	195	79
4	358	79
5	421	79
6	528	79
7	641	79
8	753	79
9	916	79
10	945	79
0	945	79

Iter	Nodes	Cost
0	15	79
1	41	79
2	87	79
3	195	79
4	358	79
5	421	79
6	528	79
7	641	79
8	753	79
9	916	79
10	945	79
0	945	79