Metrics for Rust f64::acosh

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25%	75%	0%	0%	0%	0
100%	25%	0%	75%	0%	0%	0%	1

Compiler

Compiled 6 to 4 computations (33.3% saved)

Precisions

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

const: 0.0ms (0% of total)

ival->=: 0.0ms (0% of total)

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

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

sample609.0ms (4.6%)

Results

446.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 223.0ms

ival-acosh: 149.0ms (66.8% of total)

ival->=: 63.0ms (28.3% of total)

const: 7.0ms (3.1% of total)

backward-pass: 3.0ms (1.3% of total)

Bogosity

preprocess889.0ms (6.7%)

Algorithm

2×	egg-herbie

Rules

29894×	`accelerator-lowering-fma.f32`
29894×	`accelerator-lowering-fma.f64`
4210×	`-lowering-.f32`
4210×	`-lowering-.f64`
2884×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
1	11	9
2	15	9
3	18	9
4	22	9
5	29	9
6	36	9
0	7	9
1	16	9
2	20	9
3	35	9
4	66	9
5	127	9
6	287	9
7	567	9
8	2049	9
9	3153	9
10	4418	9
11	5102	9
12	5404	9
13	5589	9
14	5691	9
15	6010	9
16	6556	9
17	7667	9
0	8087	8

Stop Event

1×	iter limit
1×	node limit
1×	saturated

Calls

Call 1

Inputs
(log (+ x (sqrt (- (* x x) 1))))

Outputs
(log (+ x (sqrt (- (* x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))))

Call 2

Inputs
(acosh x)
(acosh (neg x))
(neg (acosh (neg x)))

Outputs
(acosh x)
(acosh (neg x))
(neg (acosh (neg x)))

explain88.0ms (0.7%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
124	-	-	`(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))`
0	-	-	`x`
0	-	-	`(-.f64 (*.f64 x x) #s(literal 1 binary64))`
0	-	-	`(*.f64 x x)`
0	-	-	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))`

Results

44.0ms

512×

valid

Compiler

Compiled 80 to 23 computations (71.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-log: 7.0ms (27.7% of total)

ival-sqrt: 6.0ms (23.7% of total)

ival-mult: 5.0ms (19.8% of total)

ival-sub: 3.0ms (11.9% of total)

ival-add: 3.0ms (11.9% of total)

const: 1.0ms (4% of total)

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

eval0.0ms (0%)

Compiler: Compiled 10 to 7 computations (30% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.1%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))

Compiler

Compiled 10 to 7 computations (30% saved)

simplify718.0ms (5.4%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(-.f64 (*.f64 x x) #s(literal 1 binary64))
✓	cost-diff	(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))
✓	cost-diff	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
✓	cost-diff	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))

Rules

29894×	`accelerator-lowering-fma.f32`
29894×	`accelerator-lowering-fma.f64`
4210×	`-lowering-.f32`
4210×	`-lowering-.f64`
2884×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	33
1	16	33
2	20	33
3	35	33
4	66	33
5	127	33
6	287	33
7	567	33
8	2049	33
9	3153	33
10	4418	33
11	5102	33
12	5404	33
13	5589	33
14	5691	33
15	6010	33
16	6556	33
17	7667	33
0	8087	29

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(log (+ x (sqrt (- (* x x) 1))))
(+ x (sqrt (- (* x x) 1)))
x
(sqrt (- (* x x) 1))
(- (* x x) 1)
(* x x)
1

Outputs
(log (+ x (sqrt (- (* x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))))
(+ x (sqrt (- (* x x) 1)))
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))))
x
(sqrt (- (* x x) 1))
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))
(- (* x x) 1)
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(* x x)
(*.f64 x x)
1
#s(literal 1 binary64)

localize44.0ms (0.3%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
✓	accuracy	100.0%	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
✓	accuracy	54.9%	(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))

Results

31.0ms

256×

valid

Compiler

Compiled 35 to 8 computations (77.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-log: 3.0ms (25.6% of total)

ival-mult: 3.0ms (25.6% of total)

ival-add: 2.0ms (17.1% of total)

ival-sqrt: 2.0ms (17.1% of total)

ival-sub: 1.0ms (8.5% of total)

const: 0.0ms (0% of total)

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

series10.0ms (0.1%)

Counts

5 → 60

Calls

Call 1

Inputs
#<alt (log (+ x (sqrt (- (* x x) 1))))>
#<alt (+ x (sqrt (- (* x x) 1)))>
#<alt (sqrt (- (* x x) 1))>
#<alt (- (* x x) 1)>
#<alt (* x x)>

Outputs
#<alt (log (sqrt -1))>
#<alt (+ (log (sqrt -1)) (/ x (sqrt -1)))>
#<alt (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))>
#<alt (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -1/2) (log (/ -1 x)))>
#<alt (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))>
#<alt (sqrt -1)>
#<alt (+ x (sqrt -1))>
#<alt (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))>
#<alt (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))>
#<alt (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))>
#<alt (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))>
#<alt x>
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))>
#<alt -1>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(log (+ x (sqrt (- (* x x) 1))))
1.0ms	x	@	-inf	(log (+ x (sqrt (- (* x x) 1))))
1.0ms	x	@	inf	(log (+ x (sqrt (- (* x x) 1))))
0.0ms	x	@	0	(sqrt (- (* x x) 1))
0.0ms	x	@	inf	(- (* x x) 1)

rewrite507.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

4994×	`accelerator-lowering-fma.f32`
4994×	`accelerator-lowering-fma.f64`
3230×	`-lowering-.f32`
3230×	`-lowering-.f64`
2612×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	31
1	44	31
2	317	31
3	3621	31
0	8641	27

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 328

Calls

Call 1

Inputs
(log (+ x (sqrt (- (* x x) 1))))
(+ x (sqrt (- (* x x) 1)))
(sqrt (- (* x x) 1))
(- (* x x) 1)
(* x x)

Outputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))))
(+.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64))))) (log.f64 (.f64 (-.f64 x (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64))))))))
(+.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64))))) (log.f64 (/.f64 (-.f64 x (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)))) (-.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))))))
(+.f64 #s(literal 0 binary64) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))))))
(+.f64 (log.f64 (+.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 3/2 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (.f64 x (-.f64 x (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)))))))))
(+.f64 (log.f64 (+.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (.f64 x (-.f64 x (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64))))))) (log.f64 (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (.f64 x (-.f64 x (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64))))))))))
(+.f64 (log.f64 (+.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (.f64 x (-.f64 x (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64))))))) (log.f64 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)))) (+.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (.f64 x (-.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))))))))
(+.f64 (log.f64 (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))))))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 3/2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (.f64 x (-.f64 x (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64))))))))))
(+.f64 (log.f64 (+.f64 (neg.f64 (.f64 x x)) (+.f64 (.f64 x x) #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))))))))
(+.f64 (log.f64 (+.f64 (.f64 x x) (-.f64 #s(literal -1 binary64) (.f64 x x)))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))) x))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (.f64 x (-.f64 x (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)))))))) (log.f64 (+.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 3/2 binary64)))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)))))) (log.f64 (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(+.f64 (log.f64 (/.f64 (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 x x))))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))))))
(+.f64 (log.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 3/2 binary64))) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (pow.f64 (+.f64 #s(literal -1 binary64) (.f64 x (-.f64 x (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)))))) #s(literal 3 binary64))))) (log.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal -1 binary64) (.f64 x (-.f64 x (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)))))) (-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (-.f64 x (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)))))) (*.f64 x x))))))
(+.f64 (log.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 3/2 binary64))) (-.f64 (.f64 x (.f64 x (.f64 x x))) (pow.f64 (+.f64 #s(literal -1 binary64) (.f64 x (-.f64 x (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)))))) #s(literal 2 binary64))))) (log.f64 (-.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (.f64 x (-.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))))))))
(+.f64 (log.f64 (/.f64 (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 3/2 binary64))))) (log.f64 (+.f64 (+.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -1 binary64))) (.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))))) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64))) x) (+.f64 (.f64 x x) (-.f64 #s(literal -1 binary64) (*.f64 x x))))))
(-.f64 (log.f64 (+.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 3/2 binary64)))) (log.f64 (+.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (.f64 x (-.f64 x (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64))))))))
(-.f64 (log.f64 (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (log.f64 (-.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))))))
(-.f64 (log.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 9/2 binary64)))) (log.f64 (.f64 (+.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (.f64 x (-.f64 x (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)))))) (-.f64 (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 (.f64 x x) #s(literal -1 binary64))))) (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -1 binary64))) #s(literal 3/2 binary64))))))
(-.f64 (log.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 (.f64 x x) #s(literal -1 binary64)))))) (log.f64 (.f64 (+.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (.f64 x (-.f64 x (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)))))) (-.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 3/2 binary64))))))
(-.f64 (log.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 (.f64 x x) #s(literal -1 binary64)))))) (log.f64 (.f64 (-.f64 x (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -1 binary64))))))))
(-.f64 (log.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (.f64 x x) #s(literal -1 binary64))))) (log.f64 (.f64 (-.f64 x (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)))) (+.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -1 binary64))))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 3/2 binary64))))) (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (.f64 x (-.f64 x (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)))))))))
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(.f64 (exp.f64 (log.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64)))) (exp.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (*.f64 x x)))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(*.f64 x x)
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))

simplify409.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

10204×	`accelerator-lowering-fma.f32`
10204×	`accelerator-lowering-fma.f64`
3650×	`-lowering-.f32`
3650×	`-lowering-.f64`
2854×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	595
1	411	569
2	1147	562
3	3325	524
4	7968	524
0	8520	495

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(sqrt -1)
(+ x (sqrt -1))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(* -1 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)

Outputs
(log (sqrt -1))
(log.f64 (sqrt.f64 #s(literal -1 binary64)))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 x (sqrt.f64 #s(literal -1 binary64))))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (.f64 x (+.f64 (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))) (.f64 (.f64 x (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (.f64 (.f64 x x) #s(literal 3/40 binary64))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -3/32 binary64) (.f64 x x))) (.f64 x x))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (+.f64 (/.f64 (+.f64 #s(literal -3/32 binary64) (/.f64 #s(literal -5/96 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))))
(+ (log -1/2) (log (/ -1 x)))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 #s(literal -1/2 binary64))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (log.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 3/32 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (+.f64 (+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))))))
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ x (sqrt -1))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) x)
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) x))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x x))) (.f64 x x))) x)
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (/.f64 (-.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 5/128 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))) x)
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1 binary64))))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (/.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/16 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 #s(literal -1/2 binary64) x))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(-.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal 1/2 binary64) x) x)
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) x)
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))))
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(- (pow x 2) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(- (pow x 2) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

eval49.0ms (0.4%)

Compiler: Compiled 11389 to 1605 computations (85.9% saved)

prune76.0ms (0.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	383	5	388
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	383	6	389

Accuracy

100.0%

Counts

389 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))))
▶	99.7%	(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)))
▶	99.8%	(log.f64 (+.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))))))
▶	99.3%	(log.f64 (+.f64 x (+.f64 x (/.f64 #s(literal -1/2 binary64) x))))
✓	53.1%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
▶	98.3%	(log.f64 (+.f64 x x))

Compiler

Compiled 172 to 113 computations (34.3% saved)

simplify395.0ms (3%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) x)
✓	cost-diff	128	(.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))
✓	cost-diff	128	(+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))))
✓	cost-diff	128	(log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
✓	cost-diff	0	(*.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x))
✓	cost-diff	0	(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)))
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) x)
✓	cost-diff	0	(+.f64 x (/.f64 #s(literal -1/2 binary64) x))
✓	cost-diff	0	(+.f64 x (+.f64 x (/.f64 #s(literal -1/2 binary64) x)))
✓	cost-diff	0	(log.f64 (+.f64 x (+.f64 x (/.f64 #s(literal -1/2 binary64) x))))
✓	cost-diff	0	(+.f64 x x)
✓	cost-diff	0	(log.f64 (+.f64 x x))
✓	cost-diff	256	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))
✓	cost-diff	256	(+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))))
✓	cost-diff	256	(+.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))))
✓	cost-diff	256	(log.f64 (+.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))))))

Rules

6414×	`accelerator-lowering-fma.f32`
6414×	`accelerator-lowering-fma.f64`
2730×	`+-lowering-+.f64`
2730×	`+-lowering-+.f32`
2486×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	358
1	76	324
2	142	324
3	342	320
4	737	320
5	1200	320
6	2490	320
7	6943	320
0	8266	300

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(log (+ x (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))))
(+ x (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))))
x
(+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))
(/ -1/2 x)
-1/2
(* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))
(+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))
1
(/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))
(+ -1/8 (/ -1/16 (* x x)))
-1/8
(/ -1/16 (* x x))
-1/16
(* x x)
(* x (* x (* x x)))
(* x (* x x))
(log (+ x x))
(+ x x)
x
(log (+ x (+ x (/ -1/2 x))))
(+ x (+ x (/ -1/2 x)))
x
(+ x (/ -1/2 x))
(/ -1/2 x)
-1/2
(log (+ (* x 2) (/ (- -1/2 (/ 1/8 (* x x))) x)))
(+ (* x 2) (/ (- -1/2 (/ 1/8 (* x x))) x))
(* x 2)
x
2
(/ (- -1/2 (/ 1/8 (* x x))) x)
(- -1/2 (/ 1/8 (* x x)))
-1/2
(/ 1/8 (* x x))
1/8
(* x x)
(log (+ (/ -1/2 x) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))))
(+ (/ -1/2 x) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))
(/ -1/2 x)
-1/2
x
(* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))
(+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))
2
(/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))
(+ -1/8 (/ -1/16 (* x x)))
-1/8
(/ -1/16 (* x x))
-1/16
(* x x)
(* x (* x (* x x)))
(* x (* x x))

Outputs
(log (+ x (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))))
(log.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)) (.f64 x (*.f64 x x)))))
(+ x (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))))
(+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)) (.f64 x (*.f64 x x))))
x
(+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))
(+.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)) (.f64 x (.f64 x x))))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
-1/2
#s(literal -1/2 binary64)
(* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))
(+.f64 x (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)) (.f64 x (.f64 x x))))
(+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)) (.f64 x (.f64 x (*.f64 x x)))))
1
#s(literal 1 binary64)
(/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)) (.f64 x (.f64 x (*.f64 x x))))
(+ -1/8 (/ -1/16 (* x x)))
(+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x))
-1/8
#s(literal -1/8 binary64)
(/ -1/16 (* x x))
(/.f64 (/.f64 #s(literal -1/16 binary64) x) x)
-1/16
#s(literal -1/16 binary64)
(* x x)
(*.f64 x x)
(* x (* x (* x x)))
(.f64 x (.f64 x (*.f64 x x)))
(* x (* x x))
(.f64 x (.f64 x x))
(log (+ x x))
(log.f64 (*.f64 x #s(literal 2 binary64)))
(+ x x)
(*.f64 x #s(literal 2 binary64))
x
(log (+ x (+ x (/ -1/2 x))))
(log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))))
(+ x (+ x (/ -1/2 x)))
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))
x
(+ x (/ -1/2 x))
(+.f64 x (/.f64 #s(literal -1/2 binary64) x))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
-1/2
#s(literal -1/2 binary64)
(log (+ (* x 2) (/ (- -1/2 (/ 1/8 (* x x))) x)))
(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)))
(+ (* x 2) (/ (- -1/2 (/ 1/8 (* x x))) x))
(+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x))
(* x 2)
(*.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
(/ (- -1/2 (/ 1/8 (* x x))) x)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)
(- -1/2 (/ 1/8 (* x x)))
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))
-1/2
#s(literal -1/2 binary64)
(/ 1/8 (* x x))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
1/8
#s(literal 1/8 binary64)
(* x x)
(*.f64 x x)
(log (+ (/ -1/2 x) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))))
(log.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)) (.f64 x (*.f64 x x)))))
(+ (/ -1/2 x) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))
(+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)) (.f64 x (*.f64 x x))))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
-1/2
#s(literal -1/2 binary64)
x
(* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))
(+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)) (.f64 x (*.f64 x x))))
(+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))
(+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)) (.f64 x (.f64 x (*.f64 x x))))
(+ -1/8 (/ -1/16 (* x x)))
(+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x))
-1/8
#s(literal -1/8 binary64)
(/ -1/16 (* x x))
(/.f64 (/.f64 #s(literal -1/16 binary64) x) x)
-1/16
#s(literal -1/16 binary64)
(* x x)
(*.f64 x x)
(* x (* x (* x x)))
(.f64 x (.f64 x (*.f64 x x)))
(* x (* x x))
(.f64 x (.f64 x x))

localize242.0ms (1.8%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.6%	(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
✓	accuracy	99.2%	(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)))
✓	accuracy	100.0%	(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
✓	accuracy	99.6%	(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
✓	accuracy	100.0%	(/.f64 #s(literal -1/2 binary64) x)
✓	accuracy	100.0%	(+.f64 x (/.f64 #s(literal -1/2 binary64) x))
✓	accuracy	100.0%	(log.f64 (+.f64 x (+.f64 x (/.f64 #s(literal -1/2 binary64) x))))
✓	accuracy	100.0%	(+.f64 x (+.f64 x (/.f64 #s(literal -1/2 binary64) x)))
✓	accuracy	100.0%	(+.f64 x x)
✓	accuracy	100.0%	(log.f64 (+.f64 x x))
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.6%	(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
✓	accuracy	99.2%	(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))

Results

95.0ms

256×

valid

Compiler

Compiled 386 to 35 computations (90.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-log: 14.0ms (28% of total)

ival-add: 13.0ms (26% of total)

ival-mult: 11.0ms (22% of total)

ival-div: 10.0ms (20% of total)

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

const: 1.0ms (2% of total)

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

series95.0ms (0.7%)

Counts

22 → 264

Calls

Call 1

Inputs
#<alt (log (+ x (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))))>
#<alt (+ x (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))))>
#<alt (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))>
#<alt (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))>
#<alt (log (+ x x))>
#<alt (+ x x)>
#<alt (log (+ x (+ x (/ -1/2 x))))>
#<alt (+ x (+ x (/ -1/2 x)))>
#<alt (+ x (/ -1/2 x))>
#<alt (/ -1/2 x)>
#<alt (log (+ (* x 2) (/ (- -1/2 (/ 1/8 (* x x))) x)))>
#<alt (+ (* x 2) (/ (- -1/2 (/ 1/8 (* x x))) x))>
#<alt (* x 2)>
#<alt (/ (- -1/2 (/ 1/8 (* x x))) x)>
#<alt (log (+ (/ -1/2 x) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))))>
#<alt (+ (/ -1/2 x) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))>
#<alt (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))>
#<alt (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))>
#<alt (/ -1/16 (* x x))>
#<alt (* x (* x x))>
#<alt (* x (* x (* x x)))>
#<alt (/ 1/8 (* x x))>

Outputs
#<alt (+ (log -1/16) (* -5 (log x)))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (pow x 2) 1/2)) 1/8)) 1/16) (pow x 5))>
#<alt x>
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 1)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 1)))>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (pow x 4) 1/8)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (pow x 4) 1/8)) 1/16) (pow x 5))>
#<alt x>
#<alt (* x (- 1 (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* x (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))>
#<alt (* x (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 1)))>
#<alt (* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 1)))>
#<alt (* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 1)))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (+ (* -4 (pow x 2)) (* -1 (log x))))>
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))>
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/2 x)>
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)>
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)>
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (/ -1/2 x)>
#<alt (/ (- (pow x 2) 1/2) x)>
#<alt (/ (- (pow x 2) 1/2) x)>
#<alt (/ (- (pow x 2) 1/2) x)>
#<alt x>
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (+ (log -1/8) (* -3 (log x)))>
#<alt (+ (log -1/8) (+ (* -3 (log x)) (* 4 (pow x 2))))>
#<alt (+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* -24 (pow x 2))))))>
#<alt (+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 256/3 (pow x 2)) 24))))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (+ (log -1/16) (* -5 (log x)))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))>
#<alt (/ -1/16 (pow x 6))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))>
#<alt (/ -1/8 (pow x 4))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (/ -1/8 (pow x 4))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>

Calls

66 calls:

Time	Variable		Point	Expression
31.0ms	x	@	0	(log (+ x x))
20.0ms	x	@	-inf	(log (+ x x))
6.0ms	x	@	inf	(log (+ x x))
1.0ms	x	@	-inf	(log (+ x (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))))
1.0ms	x	@	0	(/ -1/16 (* x x))

rewrite1.1s (8.4%)

Algorithm

1×	batch-egg-rewrite

Rules

11536×	`accelerator-lowering-fma.f32`
11536×	`accelerator-lowering-fma.f64`
5266×	`/-lowering-/.f32`
5266×	`/-lowering-/.f64`
4200×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	249
1	229	223
2	2495	223
0	9869	196

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 1250

Calls

Call 1

Inputs
(log (+ x (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))))
(+ x (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))))
(+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))
(* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))
(log (+ x x))
(+ x x)
(log (+ x (+ x (/ -1/2 x))))
(+ x (+ x (/ -1/2 x)))
(+ x (/ -1/2 x))
(/ -1/2 x)
(log (+ (* x 2) (/ (- -1/2 (/ 1/8 (* x x))) x)))
(+ (* x 2) (/ (- -1/2 (/ 1/8 (* x x))) x))
(* x 2)
(/ (- -1/2 (/ 1/8 (* x x))) x)
(log (+ (/ -1/2 x) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))))
(+ (/ -1/2 x) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))
(* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))
(/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))
(/ -1/16 (* x x))
(* x (* x x))
(* x (* x (* x x)))
(/ 1/8 (* x x))

Outputs
(log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 2 binary64)))))
(+.f64 (log.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))))))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (-.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))) x))))))
(+.f64 (log.f64 (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 2 binary64)))) (-.f64 (-.f64 x (/.f64 #s(literal -1/2 binary64) x)) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 x (/.f64 #s(literal -1/2 binary64) x)) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))))))
(+.f64 (log.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 2 binary64))) (.f64 (.f64 x x) (.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 2 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 2 binary64))))))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 (.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 2 binary64))) (-.f64 (.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) x)))))))
(+.f64 (log.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 (.f64 x x) (.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 2 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 2 binary64)))))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 2 binary64)))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 (.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 2 binary64))) (-.f64 (.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) x)))) (+.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 2 binary64))) (.f64 (.f64 x x) (.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 2 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 2 binary64)))))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 (.f64 x x) (.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 2 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 2 binary64))))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 (.f64 x x) (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (-.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) x))) (+.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))))))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 (-.f64 x (/.f64 #s(literal -1/2 binary64) x)) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 2 binary64)))) (-.f64 (-.f64 x (/.f64 #s(literal -1/2 binary64) x)) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))))))))
(-.f64 (log.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))))))) (log.f64 (+.f64 (.f64 x x) (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (-.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))) x)))))
(-.f64 (log.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))))))) (log.f64 (+.f64 (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))))) (-.f64 (.f64 x x) (.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))))))))
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(.f64 (pow.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/512 binary64) (/.f64 #s(literal -1/4096 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/64 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/16 binary64) (.f64 x x)) #s(literal -1/8 binary64)) (/.f64 (*.f64 x x) #s(literal -1/16 binary64))))))
(.f64 (pow.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/256 binary64) (.f64 x (.f64 x (.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x)))))
(.f64 (/.f64 (+.f64 #s(literal -1/512 binary64) (/.f64 #s(literal -1/4096 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/64 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/16 binary64) (.f64 x x)) #s(literal -1/8 binary64)) (/.f64 (.f64 x x) #s(literal -1/16 binary64))))) (.f64 x (.f64 x x))))
(.f64 (/.f64 (-.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/256 binary64) (.f64 x (.f64 x (.f64 x x))))) x) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x)))) (.f64 x (*.f64 x x))))
(.f64 (/.f64 (+.f64 #s(literal -1/512 binary64) (/.f64 #s(literal -1/4096 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/64 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/16 binary64) (.f64 x x)) #s(literal -1/8 binary64)) (/.f64 (.f64 x x) #s(literal -1/16 binary64))))) (.f64 x x)))
(.f64 (/.f64 (+.f64 #s(literal -1/512 binary64) (/.f64 #s(literal -1/4096 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 x (.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/64 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/16 binary64) (.f64 x x)) #s(literal -1/8 binary64)) (/.f64 (.f64 x x) #s(literal -1/16 binary64))))) x))
(.f64 (/.f64 (-.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/256 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x)))) (*.f64 x x)))
(.f64 (/.f64 (-.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/256 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x)))) x))
(.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x)))))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (-.f64 #s(literal 0 binary64) (.f64 x x))))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (-.f64 #s(literal 0 binary64) x)))
(.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3/2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x)))) x))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) x) (pow.f64 x #s(literal 3/2 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 x x) #s(literal -1/16 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)))
(/.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal -1/16 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) #s(literal -1/16 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -1/16 binary64) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 x x) #s(literal -1/16 binary64)))))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/.f64 #s(literal -1/16 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 x x) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1/16 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 #s(literal 1/16 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
(/.f64 (/.f64 #s(literal -1/16 binary64) x) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) #s(literal -1/16 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal -1/16 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 #s(literal -1/16 binary64) x))))
(/.f64 (neg.f64 (/.f64 #s(literal -1/16 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal -1/16 binary64) x))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (/.f64 (*.f64 x x) #s(literal -1/16 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal -1/16 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 #s(literal -1/16 binary64) x)) #s(literal -1 binary64))
(.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x)))
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x)))
(.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal -1/2 binary64))
(.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1/16 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/16 binary64))
(*.f64 (/.f64 #s(literal -1/16 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1/16 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(.f64 x (.f64 x x))
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) x)
(.f64 (.f64 x (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 x) #s(literal 2 binary64))))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 2 binary64))
(.f64 x (.f64 x (*.f64 x x)))
(.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))
(.f64 (.f64 x x) (*.f64 x x))
(.f64 (.f64 x (*.f64 x x)) x)
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 x x) #s(literal 1/8 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1/8 binary64) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 x x) #s(literal 1/8 binary64)))))
(/.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 #s(literal -1/8 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/.f64 #s(literal 1/8 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.f64 (/.f64 #s(literal 1/8 binary64) x) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) #s(literal 1/8 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 #s(literal 1/8 binary64) x))))
(/.f64 (neg.f64 (/.f64 #s(literal 1/8 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/8 binary64) x))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(pow.f64 (/.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x)))
(.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))))
(.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/8 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/8 binary64))
(*.f64 (/.f64 #s(literal 1/8 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1/8 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))

simplify492.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

10192×	`accelerator-lowering-fma.f32`
10192×	`accelerator-lowering-fma.f64`
3776×	`-lowering-.f32`
3776×	`-lowering-.f64`
3260×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	265	2458
1	701	2358
2	1861	2221
3	5586	2208
0	8124	2105

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
(+ (log -1/16) (* -5 (log x)))
(+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/16 (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(/ -1/16 (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (pow x 2) 1/2)) 1/8)) 1/16) (pow x 5))
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
x
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 1)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 1)))
(/ -1/16 (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (pow x 4) 1/8)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (pow x 4) 1/8)) 1/16) (pow x 5))
x
(* x (- 1 (* 1/8 (/ 1 (pow x 4)))))
(* x (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
(* x (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
x
(* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 1)))
(* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 1)))
(* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 1)))
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (+ (* -4 (pow x 2)) (* -1 (log x))))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/2 x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(/ -1/2 x)
(/ (- (pow x 2) 1/2) x)
(/ (- (pow x 2) 1/2) x)
(/ (- (pow x 2) 1/2) x)
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
x
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(+ (log -1/8) (* -3 (log x)))
(+ (log -1/8) (+ (* -3 (log x)) (* 4 (pow x 2))))
(+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* -24 (pow x 2))))))
(+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 256/3 (pow x 2)) 24))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/8 (pow x 3))
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))
(/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))
(/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(/ -1/8 (pow x 3))
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(+ (log -1/16) (* -5 (log x)))
(+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/16 (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(/ -1/16 (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))
(* 2 x)
(* x (- 2 (* 1/8 (/ 1 (pow x 4)))))
(* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
(* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
(* 2 x)
(* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))
(* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))
(* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))
(/ -1/16 (pow x 6))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/ -1/8 (pow x 4))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/ -1/8 (pow x 4))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))

Outputs
(+ (log -1/16) (* -5 (log x)))
(+.f64 (log.f64 #s(literal -1/16 binary64)) (*.f64 #s(literal -5 binary64) (log.f64 x)))
(+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))
(+.f64 (log.f64 #s(literal -1/16 binary64)) (+.f64 (.f64 #s(literal -5 binary64) (log.f64 x)) (.f64 #s(literal 2 binary64) (*.f64 x x))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))
(+.f64 (log.f64 #s(literal -1/16 binary64)) (+.f64 (.f64 #s(literal -5 binary64) (log.f64 x)) (.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 6 binary64)))))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))
(+.f64 (.f64 #s(literal -5 binary64) (log.f64 x)) (+.f64 (log.f64 #s(literal -1/16 binary64)) (.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 6 binary64) (.f64 x (*.f64 x #s(literal -136/3 binary64)))))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -3/32 binary64) (.f64 x x))) (.f64 x x)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -3/32 binary64) (/.f64 #s(literal -5/96 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (log.f64 x) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -3/32 binary64) (.f64 x x))) (.f64 x x)) (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (/.f64 (+.f64 #s(literal -3/32 binary64) (/.f64 #s(literal -5/96 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (log.f64 #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(/ -1/16 (pow x 5))
(/.f64 #s(literal -1/16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) x))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/.f64 (+.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))) (.f64 (.f64 x (.f64 x (.f64 x x))) x))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))
(/.f64 (+.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64))))))) (.f64 (.f64 x (.f64 x (.f64 x x))) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))
(/.f64 (+.f64 #s(literal -1/16 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1/2 binary64))))))) (.f64 (.f64 x (.f64 x (.f64 x x))) x))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) x))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))) (/.f64 #s(literal -1/2 binary64) x))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) x))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(+.f64 (.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(/ -1/16 (pow x 5))
(/.f64 #s(literal -1/16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) x))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/.f64 (+.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))) (.f64 (.f64 x (.f64 x (.f64 x x))) x))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))
(/.f64 (+.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64))))))) (.f64 (.f64 x (.f64 x (.f64 x x))) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (pow x 2) 1/2)) 1/8)) 1/16) (pow x 5))
(/.f64 (+.f64 #s(literal -1/16 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal -1/2 binary64))))))) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 #s(literal -1/2 binary64) x))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))) (/.f64 #s(literal -1/2 binary64) x))
x
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(+.f64 x (/.f64 #s(literal -1/2 binary64) x))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 1)))
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 1)))
(+.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(/ -1/16 (pow x 5))
(/.f64 #s(literal -1/16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) x))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/.f64 (+.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))) (.f64 (.f64 x (.f64 x (.f64 x x))) x))
(/ (- (* (pow x 2) (- (pow x 4) 1/8)) 1/16) (pow x 5))
(/.f64 (+.f64 #s(literal -1/16 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/8 binary64)))) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
(/ (- (* (pow x 2) (- (pow x 4) 1/8)) 1/16) (pow x 5))
(/.f64 (+.f64 #s(literal -1/16 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/8 binary64)))) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
x
(* x (- 1 (* 1/8 (/ 1 (pow x 4)))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* x (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))
(* x (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))
x
(* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 1)))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 1)))
(.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 1)))
(.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 6 binary64))))))
(+ (log 2) (log x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (log x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (log x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (log x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(+ (log -1/2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(+ (log -1/2) (+ (* -4 (pow x 2)) (* -1 (log x))))
(+.f64 (-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x)) (.f64 (.f64 x x) #s(literal -4 binary64)))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))
(+.f64 (-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x)) (.f64 (.f64 x x) (+.f64 #s(literal -4 binary64) (.f64 (.f64 x x) #s(literal -8 binary64)))))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))
(+.f64 (-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x)) (.f64 (.f64 x x) (+.f64 #s(literal -4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -8 binary64) (.f64 (.f64 x x) #s(literal -64/3 binary64))))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/32 binary64) (.f64 x x))) (.f64 x x))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (+.f64 (/.f64 (+.f64 #s(literal -1/32 binary64) (/.f64 #s(literal -1/192 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/32 binary64) (.f64 x x))) (.f64 x x)))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
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(/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
(/ -1/8 (pow x 4))
(/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))

eval332.0ms (2.5%)

Compiler: Compiled 58875 to 5038 computations (91.4% saved)

prune309.0ms (2.3%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	1758	2	1760
Fresh	0	0	0
Picked	0	5	5
Done	0	1	1
Total	1758	8	1766

Accuracy

100.0%

Counts

1766 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	2.8%	(log.f64 (/.f64 (-.f64 (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))))) (.f64 x x)) (-.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))) x)))
▶	2.8%	(log.f64 (-.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))))) (-.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) x)) (/.f64 (.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) x))))
✓	99.8%	(log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))))
✓	99.7%	(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)))
✓	99.8%	(log.f64 (+.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))))))
✓	99.3%	(log.f64 (+.f64 x (+.f64 x (/.f64 #s(literal -1/2 binary64) x))))
✓	53.1%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
✓	98.3%	(log.f64 (+.f64 x x))

Compiler

Compiled 275 to 101 computations (63.3% saved)

simplify578.0ms (4.4%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	512	(.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))))
✓	cost-diff	768	(-.f64 (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))))) (.f64 x x))
✓	cost-diff	3584	(/.f64 (-.f64 (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))))) (.f64 x x)) (-.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))) x))
✓	cost-diff	3584	(log.f64 (/.f64 (-.f64 (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))))) (.f64 x x)) (-.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))) x)))
✓	cost-diff	512	(.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))))
✓	cost-diff	1024	(/.f64 (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))))) (-.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) x))
✓	cost-diff	5248	(-.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))))) (-.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) x)) (/.f64 (.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) x)))
✓	cost-diff	5248	(log.f64 (-.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))))) (-.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) x)) (/.f64 (.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) x))))

Rules

16386×	`accelerator-lowering-fma.f32`
16386×	`accelerator-lowering-fma.f64`
3122×	`+-lowering-+.f64`
3122×	`+-lowering-+.f32`
2920×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	753
1	67	685
2	194	517
3	843	449
4	5654	449
0	8465	444

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(log (- (/ (* (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) (- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x)) (/ (* x x) (- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x))))
(- (/ (* (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) (- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x)) (/ (* x x) (- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x)))
(/ (* (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) (- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x))
(* (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))))
(+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))
(/ -1/2 x)
-1/2
x
(* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))
(+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))
1
(/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))
(+ -1/8 (/ -1/16 (* x x)))
-1/8
(/ -1/16 (* x x))
-1/16
(* x x)
(* x (* x (* x x)))
(* x (* x x))
(- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x)
(/ (* x x) (- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x))
(log (/ (- (* (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) (* x x)) (- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x)))
(/ (- (* (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) (* x x)) (- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x))
(- (* (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) (* x x))
(* (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))))
(+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))
(/ -1/2 x)
-1/2
x
(* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))
(+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))
1
(/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))
(+ -1/8 (/ -1/16 (* x x)))
-1/8
(/ -1/16 (* x x))
-1/16
(* x x)
(* x (* x (* x x)))
(* x (* x x))
(- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x)

Outputs
(log (- (/ (* (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) (- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x)) (/ (* x x) (- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x))))
(log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x x))) (.f64 x #s(literal 2 binary64)))))
(- (/ (* (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) (- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x)) (/ (* x x) (- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x)))
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x x))) (.f64 x #s(literal 2 binary64))))
(/ (* (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) (- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x))
(/.f64 (.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x x))) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x x))) (+.f64 x (/.f64 #s(literal -1/2 binary64) x)))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x x)))))
(* (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))))
(.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x x))) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (*.f64 x x))) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))))
(+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))
(+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (*.f64 x x))) (+.f64 x (/.f64 #s(literal -1/2 binary64) x)))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
-1/2
#s(literal -1/2 binary64)
x
(* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))
(+.f64 x (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (*.f64 x x))))
(+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))
1
#s(literal 1 binary64)
(/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
(+ -1/8 (/ -1/16 (* x x)))
(+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x)))
-1/8
#s(literal -1/8 binary64)
(/ -1/16 (* x x))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
-1/16
#s(literal -1/16 binary64)
(* x x)
(*.f64 x x)
(* x (* x (* x x)))
(.f64 x (.f64 x (*.f64 x x)))
(* x (* x x))
(.f64 x (.f64 x x))
(- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x)
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (*.f64 x x))))
(/ (* x x) (- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x))
(/.f64 (.f64 x x) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x x)))))
(log (/ (- (* (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) (* x x)) (- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x)))
(log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x x))) (.f64 x #s(literal 2 binary64)))))
(/ (- (* (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) (* x x)) (- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x))
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x x))) (.f64 x #s(literal 2 binary64))))
(- (* (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) (* x x))
(.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x x))) (.f64 x #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x x)))))
(* (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))))
(.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x x))) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (*.f64 x x))) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))))
(+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))
(+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (*.f64 x x))) (+.f64 x (/.f64 #s(literal -1/2 binary64) x)))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
-1/2
#s(literal -1/2 binary64)
x
(* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))
(+.f64 x (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (*.f64 x x))))
(+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))
1
#s(literal 1 binary64)
(/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
(+ -1/8 (/ -1/16 (* x x)))
(+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x)))
-1/8
#s(literal -1/8 binary64)
(/ -1/16 (* x x))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
-1/16
#s(literal -1/16 binary64)
(* x x)
(*.f64 x x)
(* x (* x (* x x)))
(.f64 x (.f64 x (*.f64 x x)))
(* x (* x x))
(.f64 x (.f64 x x))
(- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x)
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (*.f64 x x))))

localize394.0ms (3%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
✓	accuracy	99.2%	(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
✓	accuracy	7.9%	(-.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))) x)
✓	accuracy	5.6%	(-.f64 (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))))) (.f64 x x))
✓	accuracy	99.6%	(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
✓	accuracy	99.2%	(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
✓	accuracy	7.9%	(-.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))) x)
✓	accuracy	7.6%	(-.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))))) (-.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) x)) (/.f64 (.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) x)))

Results

212.0ms	177×	2	valid
62.0ms	75×	1	valid
1.0ms	4×	0	valid

Compiler

Compiled 879 to 25 computations (97.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 176.0ms

ival-div: 57.0ms (32.3% of total)

ival-log: 37.0ms (21% of total)

ival-mult: 29.0ms (16.5% of total)

backward-pass: 26.0ms (14.7% of total)

ival-add: 14.0ms (7.9% of total)

ival-sub: 12.0ms (6.8% of total)

const: 2.0ms (1.1% of total)

series18.0ms (0.1%)

Counts

10 → 120

Calls

Call 1

Inputs
#<alt (log (- (/ (* (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) (- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x)) (/ (* x x) (- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x))))>
#<alt (- (/ (* (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) (- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x)) (/ (* x x) (- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x)))>
#<alt (/ (* (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) (- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x))>
#<alt (* (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))))>
#<alt (log (/ (- (* (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) (* x x)) (- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x)))>
#<alt (/ (- (* (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) (* x x)) (- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x))>
#<alt (- (* (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) (* x x))>
#<alt (- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x)>
#<alt (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))>
#<alt (/ -1/16 (* x x))>

Outputs
#<alt (+ (log -1/16) (* -5 (log x)))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))>
#<alt (* -2 (pow x 3))>
#<alt (* (pow x 3) (- (* 5/2 (/ 1 (pow x 2))) 2))>
#<alt (* (pow x 3) (- (* 5/2 (/ 1 (pow x 2))) (+ 2 (/ 3/8 (pow x 4)))))>
#<alt (* (pow x 3) (- (+ (* -1 (/ (+ 3/8 (* 7/32 (/ 1 (pow x 2)))) (pow x 4))) (* 5/2 (/ 1 (pow x 2)))) 2))>
#<alt (* -2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 2 (* 5/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- (+ 2 (/ 3/8 (pow x 4))) (* 5/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- (+ 2 (+ (/ 3/8 (pow x 4)) (* 7/32 (/ 1 (pow x 6))))) (* 5/2 (/ 1 (pow x 2))))))>
#<alt (/ 1/256 (pow x 10))>
#<alt (/ (+ 1/256 (* 1/64 (pow x 2))) (pow x 10))>
#<alt (/ (+ 1/256 (* (pow x 2) (+ 1/64 (* 5/64 (pow x 2))))) (pow x 10))>
#<alt (/ (+ 1/256 (* (pow x 2) (+ 1/64 (* (pow x 2) (+ 5/64 (* -1 (pow x 6))))))) (pow x 10))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (+ 1 (/ 5/64 (pow x 8))) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (+ 1 (+ (/ 5/64 (pow x 8)) (* 1/64 (/ 1 (pow x 10))))) (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (+ 1 (/ 5/64 (pow x 8))) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (+ 1 (+ (/ 5/64 (pow x 8)) (* 1/64 (/ 1 (pow x 10))))) (/ 1 (pow x 2))))>
#<alt (+ (log -1/16) (* -5 (log x)))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))>
#<alt (/ 1/256 (pow x 10))>
#<alt (/ (+ 1/256 (* 1/64 (pow x 2))) (pow x 10))>
#<alt (/ (+ 1/256 (* (pow x 2) (+ 1/64 (* 5/64 (pow x 2))))) (pow x 10))>
#<alt (/ (+ 1/256 (* (pow x 2) (+ 1/64 (* (pow x 2) (+ 5/64 (* -1 (pow x 6))))))) (pow x 10))>
#<alt -1>
#<alt (- (* 5/64 (/ 1 (pow x 6))) 1)>
#<alt (- (+ (/ 1/64 (pow x 8)) (* 5/64 (/ 1 (pow x 6)))) 1)>
#<alt (- (+ (/ 1/64 (pow x 8)) (+ (* 5/64 (/ 1 (pow x 6))) (* 1/256 (/ 1 (pow x 10))))) 1)>
#<alt -1>
#<alt (- (* 5/64 (/ 1 (pow x 6))) 1)>
#<alt (- (+ (/ 1/64 (pow x 8)) (* 5/64 (/ 1 (pow x 6)))) 1)>
#<alt (- (+ (/ 1/64 (pow x 8)) (+ (* 5/64 (/ 1 (pow x 6))) (* 1/256 (/ 1 (pow x 10))))) 1)>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)>
#<alt (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x))>
#<alt (* -1 (/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x))>
#<alt (/ -1/16 (pow x 6))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))>
#<alt (/ -1/8 (pow x 4))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (/ -1/8 (pow x 4))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>

Calls

30 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(log (- (/ (* (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) (- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x)) (/ (* x x) (- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x))))
1.0ms	x	@	0	(log (- (/ (* (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) (- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x)) (/ (* x x) (- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x))))
1.0ms	x	@	-inf	(log (- (/ (* (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) (- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x)) (/ (* x x) (- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x))))
0.0ms	x	@	inf	(log (/ (- (* (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) (* x x)) (- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x)))
0.0ms	x	@	-inf	(log (/ (- (* (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) (* x x)) (- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x)))

rewrite1.0s (7.6%)

Algorithm

1×	batch-egg-rewrite

Rules

5554×	`/-lowering-/.f32`
5554×	`/-lowering-/.f64`
5546×	`accelerator-lowering-fma.f32`
5546×	`accelerator-lowering-fma.f64`
4668×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	344
1	185	212
2	2098	212
0	9334	184

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 878

Calls

Call 1

Inputs
(log (- (/ (* (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) (- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x)) (/ (* x x) (- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x))))
(- (/ (* (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) (- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x)) (/ (* x x) (- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x)))
(/ (* (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) (- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x))
(* (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))))
(log (/ (- (* (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) (* x x)) (- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x)))
(/ (- (* (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) (* x x)) (- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x))
(- (* (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) (* x x))
(- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x)
(/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))
(/ -1/16 (* x x))

Outputs
(log.f64 (+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
(+.f64 (log.f64 (-.f64 (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))))) (.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))))
(+.f64 #s(literal 0 binary64) (log.f64 (+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) x))))
(+.f64 (log.f64 (+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) x))) (log.f64 (.f64 (+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))))
(+.f64 (log.f64 (+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) x))) (log.f64 (/.f64 (+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))))
(+.f64 (log.f64 (-.f64 (.f64 (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))))) (+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))) (.f64 (.f64 x x) (+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))))) (.f64 x x)))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))))
(+.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) #s(literal 6 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (.f64 (+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) (/.f64 (+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))))))) (.f64 (/.f64 (.f64 x x) (+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))) (+.f64 (.f64 x x) (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))))))))))))
(+.f64 (log.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))) (+.f64 (.f64 x x) (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))))))) (+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))) (+.f64 (.f64 x x) (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))))))))))
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simplify376.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

8658×	`accelerator-lowering-fma.f32`
8658×	`accelerator-lowering-fma.f64`
3558×	`-lowering-.f32`
3558×	`-lowering-.f64`
3146×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	213	1500
1	542	1461
2	1487	1451
3	4273	1396
0	8126	1324

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

Inputs
(+ (log -1/16) (* -5 (log x)))
(+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/16 (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(/ -1/16 (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))
(* -2 (pow x 3))
(* (pow x 3) (- (* 5/2 (/ 1 (pow x 2))) 2))
(* (pow x 3) (- (* 5/2 (/ 1 (pow x 2))) (+ 2 (/ 3/8 (pow x 4)))))
(* (pow x 3) (- (+ (* -1 (/ (+ 3/8 (* 7/32 (/ 1 (pow x 2)))) (pow x 4))) (* 5/2 (/ 1 (pow x 2)))) 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 5/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 2 (/ 3/8 (pow x 4))) (* 5/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 2 (+ (/ 3/8 (pow x 4)) (* 7/32 (/ 1 (pow x 6))))) (* 5/2 (/ 1 (pow x 2))))))
(/ 1/256 (pow x 10))
(/ (+ 1/256 (* 1/64 (pow x 2))) (pow x 10))
(/ (+ 1/256 (* (pow x 2) (+ 1/64 (* 5/64 (pow x 2))))) (pow x 10))
(/ (+ 1/256 (* (pow x 2) (+ 1/64 (* (pow x 2) (+ 5/64 (* -1 (pow x 6))))))) (pow x 10))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- (+ 1 (/ 5/64 (pow x 8))) (/ 1 (pow x 2))))
(* (pow x 2) (- (+ 1 (+ (/ 5/64 (pow x 8)) (* 1/64 (/ 1 (pow x 10))))) (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- (+ 1 (/ 5/64 (pow x 8))) (/ 1 (pow x 2))))
(* (pow x 2) (- (+ 1 (+ (/ 5/64 (pow x 8)) (* 1/64 (/ 1 (pow x 10))))) (/ 1 (pow x 2))))
(+ (log -1/16) (* -5 (log x)))
(+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/16 (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(/ 1/256 (pow x 10))
(/ (+ 1/256 (* 1/64 (pow x 2))) (pow x 10))
(/ (+ 1/256 (* (pow x 2) (+ 1/64 (* 5/64 (pow x 2))))) (pow x 10))
(/ (+ 1/256 (* (pow x 2) (+ 1/64 (* (pow x 2) (+ 5/64 (* -1 (pow x 6))))))) (pow x 10))
-1
(- (* 5/64 (/ 1 (pow x 6))) 1)
(- (+ (/ 1/64 (pow x 8)) (* 5/64 (/ 1 (pow x 6)))) 1)
(- (+ (/ 1/64 (pow x 8)) (+ (* 5/64 (/ 1 (pow x 6))) (* 1/256 (/ 1 (pow x 10))))) 1)
-1
(- (* 5/64 (/ 1 (pow x 6))) 1)
(- (+ (/ 1/64 (pow x 8)) (* 5/64 (/ 1 (pow x 6)))) 1)
(- (+ (/ 1/64 (pow x 8)) (+ (* 5/64 (/ 1 (pow x 6))) (* 1/256 (/ 1 (pow x 10))))) 1)
(/ -1/16 (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)
(/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x))
(* -1 (/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x))
(/ -1/16 (pow x 6))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/ -1/8 (pow x 4))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/ -1/8 (pow x 4))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))

Outputs
(+ (log -1/16) (* -5 (log x)))
(+.f64 (log.f64 #s(literal -1/16 binary64)) (*.f64 #s(literal -5 binary64) (log.f64 x)))
(+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))
(+.f64 (log.f64 #s(literal -1/16 binary64)) (+.f64 (.f64 #s(literal -5 binary64) (log.f64 x)) (.f64 #s(literal 2 binary64) (*.f64 x x))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))
(+.f64 (+.f64 (log.f64 #s(literal -1/16 binary64)) (.f64 #s(literal -5 binary64) (log.f64 x))) (.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 6 binary64)))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))
(+.f64 (+.f64 (log.f64 #s(literal -1/16 binary64)) (.f64 #s(literal -5 binary64) (log.f64 x))) (.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 6 binary64) (.f64 (*.f64 x x) #s(literal -136/3 binary64))))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -3/32 binary64) (.f64 x x))) (.f64 x x))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -3/32 binary64) (/.f64 #s(literal -5/96 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -3/32 binary64) (.f64 x x))) (.f64 x x)) (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (/.f64 (+.f64 #s(literal -3/32 binary64) (/.f64 #s(literal -5/96 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (log.f64 #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(/ -1/16 (pow x 5))
(/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 5 binary64)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/.f64 (+.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))
(/.f64 (+.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64))))))) (pow.f64 x #s(literal 5 binary64)))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))
(/.f64 (+.f64 #s(literal -1/16 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1/2 binary64)))))) (pow.f64 x #s(literal 5 binary64)))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) x))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x))))) (/.f64 #s(literal -1/2 binary64) x))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) x))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(-.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/2 binary64) x)) (.f64 x (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))))))
(/ -1/16 (pow x 5))
(/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 5 binary64)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/.f64 (+.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))
(/.f64 (+.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64))))))) (pow.f64 x #s(literal 5 binary64)))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))
(/.f64 (+.f64 #s(literal -1/16 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1/2 binary64)))))) (pow.f64 x #s(literal 5 binary64)))
(* -2 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -2 binary64)))
(* (pow x 3) (- (* 5/2 (/ 1 (pow x 2))) 2))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 5/2 binary64) (.f64 x x)))))
(* (pow x 3) (- (* 5/2 (/ 1 (pow x 2))) (+ 2 (/ 3/8 (pow x 4)))))
(.f64 (.f64 x (.f64 x x)) (-.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 5/2 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 3/8 binary64) (.f64 x x)) (.f64 x x))))
(* (pow x 3) (- (+ (* -1 (/ (+ 3/8 (* 7/32 (/ 1 (pow x 2)))) (pow x 4))) (* 5/2 (/ 1 (pow x 2)))) 2))
(.f64 x (.f64 (.f64 x x) (+.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 5/2 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal -3/8 binary64) (/.f64 #s(literal -7/32 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))))))
(* -2 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -1 (* (pow x 3) (- 2 (* 5/2 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 5/2 binary64) (.f64 x x)))))
(* -1 (* (pow x 3) (- (+ 2 (/ 3/8 (pow x 4))) (* 5/2 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (-.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 5/2 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 3/8 binary64) (.f64 x x)) (.f64 x x))))
(* -1 (* (pow x 3) (- (+ 2 (+ (/ 3/8 (pow x 4)) (* 7/32 (/ 1 (pow x 6))))) (* 5/2 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (-.f64 (/.f64 #s(literal 5/2 binary64) (.f64 x x)) (+.f64 (/.f64 (/.f64 #s(literal 3/8 binary64) (.f64 x x)) (.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 7/32 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(/ 1/256 (pow x 10))
(/.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 10 binary64)))
(/ (+ 1/256 (* 1/64 (pow x 2))) (pow x 10))
(/.f64 (+.f64 #s(literal 1/256 binary64) (.f64 (.f64 x x) #s(literal 1/64 binary64))) (pow.f64 x #s(literal 10 binary64)))
(/ (+ 1/256 (* (pow x 2) (+ 1/64 (* 5/64 (pow x 2))))) (pow x 10))
(/.f64 (+.f64 #s(literal 1/256 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) #s(literal 5/64 binary64))))) (pow.f64 x #s(literal 10 binary64)))
(/ (+ 1/256 (* (pow x 2) (+ 1/64 (* (pow x 2) (+ 5/64 (* -1 (pow x 6))))))) (pow x 10))
(/.f64 (+.f64 #s(literal 1/256 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/64 binary64) (.f64 x (.f64 x (-.f64 #s(literal 5/64 binary64) (pow.f64 x #s(literal 6 binary64)))))))) (pow.f64 x #s(literal 10 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(* (pow x 2) (- (+ 1 (/ 5/64 (pow x 8))) (/ 1 (pow x 2))))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 5/64 binary64) (pow.f64 x #s(literal 8 binary64))))))
(* (pow x 2) (- (+ 1 (+ (/ 5/64 (pow x 8)) (* 1/64 (/ 1 (pow x 10))))) (/ 1 (pow x 2))))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 5/64 binary64) (pow.f64 x #s(literal 8 binary64)))) (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 10 binary64))))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(* (pow x 2) (- (+ 1 (/ 5/64 (pow x 8))) (/ 1 (pow x 2))))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 5/64 binary64) (pow.f64 x #s(literal 8 binary64))))))
(* (pow x 2) (- (+ 1 (+ (/ 5/64 (pow x 8)) (* 1/64 (/ 1 (pow x 10))))) (/ 1 (pow x 2))))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 5/64 binary64) (pow.f64 x #s(literal 8 binary64)))) (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 10 binary64))))))
(+ (log -1/16) (* -5 (log x)))
(+.f64 (log.f64 #s(literal -1/16 binary64)) (*.f64 #s(literal -5 binary64) (log.f64 x)))
(+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))
(+.f64 (log.f64 #s(literal -1/16 binary64)) (+.f64 (.f64 #s(literal -5 binary64) (log.f64 x)) (.f64 #s(literal 2 binary64) (*.f64 x x))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))
(+.f64 (+.f64 (log.f64 #s(literal -1/16 binary64)) (.f64 #s(literal -5 binary64) (log.f64 x))) (.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 6 binary64)))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))
(+.f64 (+.f64 (log.f64 #s(literal -1/16 binary64)) (.f64 #s(literal -5 binary64) (log.f64 x))) (.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 6 binary64) (.f64 (*.f64 x x) #s(literal -136/3 binary64))))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -3/32 binary64) (.f64 x x))) (.f64 x x))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -3/32 binary64) (/.f64 #s(literal -5/96 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -3/32 binary64) (.f64 x x))) (.f64 x x)) (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (/.f64 (+.f64 #s(literal -3/32 binary64) (/.f64 #s(literal -5/96 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (log.f64 #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(/ -1/16 (pow x 5))
(/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 5 binary64)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/.f64 (+.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))
(/.f64 (+.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64))))))) (pow.f64 x #s(literal 5 binary64)))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))
(/.f64 (+.f64 #s(literal -1/16 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1/2 binary64)))))) (pow.f64 x #s(literal 5 binary64)))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) x))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x))))) (/.f64 #s(literal -1/2 binary64) x))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) x))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(-.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/2 binary64) x)) (.f64 x (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))))))
(/ 1/256 (pow x 10))
(/.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 10 binary64)))
(/ (+ 1/256 (* 1/64 (pow x 2))) (pow x 10))
(/.f64 (+.f64 #s(literal 1/256 binary64) (.f64 (.f64 x x) #s(literal 1/64 binary64))) (pow.f64 x #s(literal 10 binary64)))
(/ (+ 1/256 (* (pow x 2) (+ 1/64 (* 5/64 (pow x 2))))) (pow x 10))
(/.f64 (+.f64 #s(literal 1/256 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) #s(literal 5/64 binary64))))) (pow.f64 x #s(literal 10 binary64)))
(/ (+ 1/256 (* (pow x 2) (+ 1/64 (* (pow x 2) (+ 5/64 (* -1 (pow x 6))))))) (pow x 10))
(/.f64 (+.f64 #s(literal 1/256 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/64 binary64) (.f64 x (.f64 x (-.f64 #s(literal 5/64 binary64) (pow.f64 x #s(literal 6 binary64)))))))) (pow.f64 x #s(literal 10 binary64)))
-1
#s(literal -1 binary64)
(- (* 5/64 (/ 1 (pow x 6))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 5/64 binary64) (pow.f64 x #s(literal 6 binary64))))
(- (+ (/ 1/64 (pow x 8)) (* 5/64 (/ 1 (pow x 6)))) 1)
(+.f64 (/.f64 #s(literal 5/64 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 8 binary64)))))
(- (+ (/ 1/64 (pow x 8)) (+ (* 5/64 (/ 1 (pow x 6))) (* 1/256 (/ 1 (pow x 10))))) 1)
(+.f64 (+.f64 (/.f64 #s(literal 5/64 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 8 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 10 binary64)))))
-1
#s(literal -1 binary64)
(- (* 5/64 (/ 1 (pow x 6))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 5/64 binary64) (pow.f64 x #s(literal 6 binary64))))
(- (+ (/ 1/64 (pow x 8)) (* 5/64 (/ 1 (pow x 6)))) 1)
(+.f64 (/.f64 #s(literal 5/64 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 8 binary64)))))
(- (+ (/ 1/64 (pow x 8)) (+ (* 5/64 (/ 1 (pow x 6))) (* 1/256 (/ 1 (pow x 10))))) 1)
(+.f64 (+.f64 (/.f64 #s(literal 5/64 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 8 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 10 binary64)))))
(/ -1/16 (pow x 5))
(/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 5 binary64)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/.f64 (+.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))
(/.f64 (+.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64))))))) (pow.f64 x #s(literal 5 binary64)))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))
(/.f64 (+.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64))))))) (pow.f64 x #s(literal 5 binary64)))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)
(/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x x))) x)
(/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x x))) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)
(* -1 (/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x))
(/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) (/.f64 #s(literal -1/16 binary64) (.f64 (.f64 x x) (.f64 x x)))) x)
(* -1 (/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x))
(/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) (/.f64 #s(literal -1/16 binary64) (.f64 (.f64 x x) (.f64 x x)))) x)
(/ -1/16 (pow x 6))
(/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/.f64 (+.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/.f64 (+.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/.f64 (+.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(/ -1/8 (pow x 4))
(/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (*.f64 x x)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x)))
(/ -1/8 (pow x 4))
(/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (*.f64 x x)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x)))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))

eval819.0ms (6.2%)

Compiler: Compiled 293565 to 6359 computations (97.8% saved)

prune299.0ms (2.3%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	2099	1	2100
Fresh	0	0	0
Picked	1	1	2
Done	0	6	6
Total	2100	8	2108

Accuracy

100.0%

Counts

2108 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	2.8%	(log.f64 (/.f64 (-.f64 (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))))) (.f64 x x)) (-.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))) x)))
▶	1.9%	(log.f64 (-.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))))) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x x))) x)) (/.f64 (.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))) x))))
✓	99.8%	(log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))))
✓	99.7%	(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)))
✓	99.8%	(log.f64 (+.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))))))
✓	99.3%	(log.f64 (+.f64 x (+.f64 x (/.f64 #s(literal -1/2 binary64) x))))
✓	53.1%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
✓	98.3%	(log.f64 (+.f64 x x))

Compiler

Compiled 265 to 104 computations (60.8% saved)

simplify567.0ms (4.3%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	512	(.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))))
✓	cost-diff	768	(/.f64 (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))))) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (*.f64 x x))) x))
✓	cost-diff	1280	(-.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))))) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x x))) x)) (/.f64 (.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))) x)))
✓	cost-diff	1280	(log.f64 (-.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))))) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x x))) x)) (/.f64 (.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))) x))))

Rules

16296×	`accelerator-lowering-fma.f32`
16296×	`accelerator-lowering-fma.f64`
3302×	`-lowering-.f32`
3302×	`-lowering-.f64`
2008×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	463
1	65	429
2	165	425
3	643	381
4	3578	379
5	7325	379
0	8228	374

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(log (- (/ (* (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) (/ (+ -1/2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x x))) x)) (/ (* x x) (- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x))))
(- (/ (* (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) (/ (+ -1/2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x x))) x)) (/ (* x x) (- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x)))
(/ (* (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) (/ (+ -1/2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x x))) x))
(* (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))))
(+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))
(/ -1/2 x)
-1/2
x
(* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))
(+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))
1
(/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))
(+ -1/8 (/ -1/16 (* x x)))
-1/8
(/ -1/16 (* x x))
-1/16
(* x x)
(* x (* x (* x x)))
(* x (* x x))
(/ (+ -1/2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x x))) x)
(+ -1/2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x x)))
(/ (+ -1/8 (/ -1/16 (* x x))) (* x x))
(/ (* x x) (- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x))
(- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x)

Outputs
(log (- (/ (* (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) (/ (+ -1/2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x x))) x)) (/ (* x x) (- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x))))
(log.f64 (+.f64 (.f64 (+.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x x))))) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x x)) (+.f64 (.f64 x x) #s(literal -1/2 binary64))) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x x))))) (/.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))))))
(- (/ (* (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) (/ (+ -1/2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x x))) x)) (/ (* x x) (- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x)))
(+.f64 (.f64 (+.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x x))))) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x x)) (+.f64 (.f64 x x) #s(literal -1/2 binary64))) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x x))))) (/.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (*.f64 x x))))))
(/ (* (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) (/ (+ -1/2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x x))) x))
(.f64 (+.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x x))))) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x x)) (+.f64 (.f64 x x) #s(literal -1/2 binary64))) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (*.f64 x x)))))
(* (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x x)))) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))))
(+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))
(+.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
-1/2
#s(literal -1/2 binary64)
x
(* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))
(+.f64 x (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (*.f64 x x))))
(+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))
1
#s(literal 1 binary64)
(/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
(+ -1/8 (/ -1/16 (* x x)))
(+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x)))
-1/8
#s(literal -1/8 binary64)
(/ -1/16 (* x x))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
-1/16
#s(literal -1/16 binary64)
(* x x)
(*.f64 x x)
(* x (* x (* x x)))
(.f64 x (.f64 x (*.f64 x x)))
(* x (* x x))
(.f64 x (.f64 x x))
(/ (+ -1/2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x x))) x)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x x))) x)
(+ -1/2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x x)))
(+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x x)))
(/ (+ -1/8 (/ -1/16 (* x x))) (* x x))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x x))
(/ (* x x) (- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x))
(/.f64 (.f64 x x) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x x)))))
(- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x)
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (*.f64 x x))))

localize329.0ms (2.5%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x x))
✓	accuracy	99.2%	(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
✓	accuracy	7.9%	(-.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))) x)
✓	accuracy	7.6%	(-.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))))) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x x))) x)) (/.f64 (.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))) x)))

Results

210.0ms	177×	2	valid
42.0ms	74×	1	valid
1.0ms	5×	0	valid

Compiler

Compiled 501 to 25 computations (95% saved)

Precisions

Click to see histograms. Total time spent on operations: 165.0ms

backward-pass: 63.0ms (38.2% of total)

ival-div: 40.0ms (24.3% of total)

ival-mult: 28.0ms (17% of total)

ival-add: 14.0ms (8.5% of total)

ival-log: 11.0ms (6.7% of total)

ival-sub: 7.0ms (4.2% of total)

const: 2.0ms (1.2% of total)

series11.0ms (0.1%)

Counts

7 → 84

Calls

Call 1

Inputs
#<alt (log (- (/ (* (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) (/ (+ -1/2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x x))) x)) (/ (* x x) (- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x))))>
#<alt (- (/ (* (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) (/ (+ -1/2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x x))) x)) (/ (* x x) (- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x)))>
#<alt (/ (* (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) (/ (+ -1/2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x x))) x))>
#<alt (* (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))))>
#<alt (- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x)>
#<alt (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))>
#<alt (/ (+ -1/8 (/ -1/16 (* x x))) (* x x))>

Outputs
#<alt (+ (log -1/16) (* -5 (log x)))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))>
#<alt (* -2 (pow x 3))>
#<alt (* (pow x 3) (- (* 5/2 (/ 1 (pow x 2))) 2))>
#<alt (* (pow x 3) (- (* 5/2 (/ 1 (pow x 2))) (+ 2 (/ 3/8 (pow x 4)))))>
#<alt (* (pow x 3) (- (+ (* -1 (/ (+ 3/8 (* 7/32 (/ 1 (pow x 2)))) (pow x 4))) (* 5/2 (/ 1 (pow x 2)))) 2))>
#<alt (* -2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 2 (* 5/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- (+ 2 (/ 3/8 (pow x 4))) (* 5/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- (+ 2 (+ (/ 3/8 (pow x 4)) (* 7/32 (/ 1 (pow x 6))))) (* 5/2 (/ 1 (pow x 2))))))>
#<alt (/ 1/256 (pow x 10))>
#<alt (/ (+ 1/256 (* 1/64 (pow x 2))) (pow x 10))>
#<alt (/ (+ 1/256 (* (pow x 2) (+ 1/64 (* 5/64 (pow x 2))))) (pow x 10))>
#<alt (/ (+ 1/256 (* (pow x 2) (+ 1/64 (* (pow x 2) (+ 5/64 (* -1 (pow x 6))))))) (pow x 10))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (+ 1 (/ 5/64 (pow x 8))) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (+ 1 (+ (/ 5/64 (pow x 8)) (* 1/64 (/ 1 (pow x 10))))) (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (+ 1 (/ 5/64 (pow x 8))) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (+ 1 (+ (/ 5/64 (pow x 8)) (* 1/64 (/ 1 (pow x 10))))) (/ 1 (pow x 2))))>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)>
#<alt (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x))>
#<alt (* -1 (/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x))>
#<alt (/ -1/16 (pow x 6))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))>
#<alt (/ -1/8 (pow x 4))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (/ -1/8 (pow x 4))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (/ -1/16 (pow x 4))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 4))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 4))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 4))>
#<alt (/ -1/8 (pow x 2))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ -1/8 (pow x 2))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2)))>

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(log (- (/ (* (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) (/ (+ -1/2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x x))) x)) (/ (* x x) (- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x))))
0.0ms	x	@	0	(log (- (/ (* (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) (/ (+ -1/2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x x))) x)) (/ (* x x) (- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x))))
0.0ms	x	@	-inf	(log (- (/ (* (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) (/ (+ -1/2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x x))) x)) (/ (* x x) (- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x))))
0.0ms	x	@	0	(/ (+ -1/8 (/ -1/16 (* x x))) (* x x))
0.0ms	x	@	inf	(/ (* (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) (/ (+ -1/2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x x))) x))

rewrite587.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

5904×	`accelerator-lowering-fma.f32`
5904×	`accelerator-lowering-fma.f64`
5404×	`/-lowering-/.f32`
5404×	`/-lowering-/.f64`
4432×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	244
1	189	228
2	2150	228
0	8982	199

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 419

Calls

Call 1

Inputs
(log (- (/ (* (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) (/ (+ -1/2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x x))) x)) (/ (* x x) (- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x))))
(- (/ (* (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) (/ (+ -1/2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x x))) x)) (/ (* x x) (- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x)))
(/ (* (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) (/ (+ -1/2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x x))) x))
(* (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))))
(- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x)
(/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))
(/ (+ -1/8 (/ -1/16 (* x x))) (* x x))

Outputs
(log.f64 (-.f64 (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x x))) x))) (/.f64 (.f64 x x) (+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))))
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(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -1/512 binary64) (/.f64 (/.f64 #s(literal -1/4096 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 #s(literal 1/64 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/16 binary64) (.f64 x x)) #s(literal -1/8 binary64)) (/.f64 (.f64 x x) #s(literal -1/16 binary64)))) (*.f64 x x))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/256 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64))) (neg.f64 (.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (*.f64 x x))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (neg.f64 (/.f64 #s(literal -1/16 binary64) (.f64 x x)))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) x))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -1/512 binary64) (/.f64 (/.f64 #s(literal -1/4096 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (neg.f64 (+.f64 #s(literal 1/64 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/16 binary64) (.f64 x x)) #s(literal -1/8 binary64)) (/.f64 (.f64 x x) #s(literal -1/16 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/256 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (neg.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x)))))
(pow.f64 (/.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) x)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (*.f64 x x)))
(.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(.f64 (+.f64 #s(literal 1/8 binary64) (neg.f64 (/.f64 #s(literal -1/16 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) x))
(.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) x) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) x) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 #s(literal -1/512 binary64) (/.f64 (/.f64 #s(literal -1/4096 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/64 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/16 binary64) (.f64 x x)) #s(literal -1/8 binary64)) (/.f64 (.f64 x x) #s(literal -1/16 binary64))))))
(.f64 (pow.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/256 binary64) (.f64 x (.f64 x (.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x)))))
(.f64 (/.f64 (+.f64 #s(literal -1/512 binary64) (/.f64 (/.f64 #s(literal -1/4096 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/64 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/16 binary64) (.f64 x x)) #s(literal -1/8 binary64)) (/.f64 (*.f64 x x) #s(literal -1/16 binary64))))) x))
(.f64 (/.f64 (-.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/256 binary64) (.f64 x (.f64 x (.f64 x x))))) x) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x)))) x))
(.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (-.f64 #s(literal 0 binary64) x)))
(.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))

simplify561.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

12742×	`accelerator-lowering-fma.f32`
12742×	`accelerator-lowering-fma.f64`
3812×	`+-lowering-+.f64`
3812×	`+-lowering-+.f32`
3528×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	206	1069
1	521	1049
2	1445	1031
3	4194	990
0	8486	939

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

Inputs
(+ (log -1/16) (* -5 (log x)))
(+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/16 (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(/ -1/16 (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))
(* -2 (pow x 3))
(* (pow x 3) (- (* 5/2 (/ 1 (pow x 2))) 2))
(* (pow x 3) (- (* 5/2 (/ 1 (pow x 2))) (+ 2 (/ 3/8 (pow x 4)))))
(* (pow x 3) (- (+ (* -1 (/ (+ 3/8 (* 7/32 (/ 1 (pow x 2)))) (pow x 4))) (* 5/2 (/ 1 (pow x 2)))) 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 5/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 2 (/ 3/8 (pow x 4))) (* 5/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 2 (+ (/ 3/8 (pow x 4)) (* 7/32 (/ 1 (pow x 6))))) (* 5/2 (/ 1 (pow x 2))))))
(/ 1/256 (pow x 10))
(/ (+ 1/256 (* 1/64 (pow x 2))) (pow x 10))
(/ (+ 1/256 (* (pow x 2) (+ 1/64 (* 5/64 (pow x 2))))) (pow x 10))
(/ (+ 1/256 (* (pow x 2) (+ 1/64 (* (pow x 2) (+ 5/64 (* -1 (pow x 6))))))) (pow x 10))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- (+ 1 (/ 5/64 (pow x 8))) (/ 1 (pow x 2))))
(* (pow x 2) (- (+ 1 (+ (/ 5/64 (pow x 8)) (* 1/64 (/ 1 (pow x 10))))) (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- (+ 1 (/ 5/64 (pow x 8))) (/ 1 (pow x 2))))
(* (pow x 2) (- (+ 1 (+ (/ 5/64 (pow x 8)) (* 1/64 (/ 1 (pow x 10))))) (/ 1 (pow x 2))))
(/ -1/16 (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)
(/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x))
(* -1 (/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x))
(/ -1/16 (pow x 6))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/ -1/8 (pow x 4))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/ -1/8 (pow x 4))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/ -1/16 (pow x 4))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 4))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 4))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 4))
(/ -1/8 (pow x 2))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2)))
(/ -1/8 (pow x 2))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2)))

Outputs
(+ (log -1/16) (* -5 (log x)))
(+.f64 (log.f64 #s(literal -1/16 binary64)) (*.f64 #s(literal -5 binary64) (log.f64 x)))
(+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))
(+.f64 (.f64 #s(literal -5 binary64) (log.f64 x)) (+.f64 (log.f64 #s(literal -1/16 binary64)) (.f64 x (*.f64 x #s(literal 2 binary64)))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))
(+.f64 (+.f64 (log.f64 #s(literal -1/16 binary64)) (.f64 #s(literal -5 binary64) (log.f64 x))) (.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 6 binary64)))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))
(+.f64 (+.f64 (log.f64 #s(literal -1/16 binary64)) (.f64 #s(literal -5 binary64) (log.f64 x))) (.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 6 binary64) (.f64 (*.f64 x x) #s(literal -136/3 binary64))))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -3/32 binary64) (.f64 x x))) (.f64 x x))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (+.f64 (/.f64 (+.f64 #s(literal -3/32 binary64) (/.f64 #s(literal -5/96 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -3/32 binary64) (.f64 x x))) (.f64 x x)) (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (/.f64 (+.f64 #s(literal -3/32 binary64) (/.f64 #s(literal -5/96 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (log.f64 #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(/ -1/16 (pow x 5))
(/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 5 binary64)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/.f64 (+.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))
(/.f64 (+.f64 #s(literal -1/16 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))))) (pow.f64 x #s(literal 5 binary64)))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))
(/.f64 (+.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))))))) (pow.f64 x #s(literal 5 binary64)))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) x))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))) (/.f64 #s(literal -1/2 binary64) x))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) x))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(+.f64 (.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/2 binary64) x)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/2 binary64) x)) (.f64 x (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))))))
(/ -1/16 (pow x 5))
(/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 5 binary64)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/.f64 (+.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))
(/.f64 (+.f64 #s(literal -1/16 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))))) (pow.f64 x #s(literal 5 binary64)))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))
(/.f64 (+.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))))))) (pow.f64 x #s(literal 5 binary64)))
(* -2 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -2 binary64))))
(* (pow x 3) (- (* 5/2 (/ 1 (pow x 2))) 2))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 5/2 binary64) (.f64 x x)))))
(* (pow x 3) (- (* 5/2 (/ 1 (pow x 2))) (+ 2 (/ 3/8 (pow x 4)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 5/2 binary64) (.f64 x x))) (/.f64 #s(literal -3/8 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 3) (- (+ (* -1 (/ (+ 3/8 (* 7/32 (/ 1 (pow x 2)))) (pow x 4))) (* 5/2 (/ 1 (pow x 2)))) 2))
(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (+.f64 (/.f64 #s(literal 5/2 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal -3/8 binary64) (/.f64 #s(literal -7/32 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))))
(* -2 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -2 binary64))))
(* -1 (* (pow x 3) (- 2 (* 5/2 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 5/2 binary64) (.f64 x x)))))
(* -1 (* (pow x 3) (- (+ 2 (/ 3/8 (pow x 4))) (* 5/2 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 5/2 binary64) (.f64 x x))) (/.f64 #s(literal -3/8 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* -1 (* (pow x 3) (- (+ 2 (+ (/ 3/8 (pow x 4)) (* 7/32 (/ 1 (pow x 6))))) (* 5/2 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (-.f64 (+.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 5/2 binary64) (.f64 x x))) (/.f64 #s(literal -3/8 binary64) (.f64 x (.f64 x (*.f64 x x))))) (/.f64 #s(literal 7/32 binary64) (pow.f64 x #s(literal 6 binary64)))))
(/ 1/256 (pow x 10))
(/.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 10 binary64)))
(/ (+ 1/256 (* 1/64 (pow x 2))) (pow x 10))
(/.f64 (+.f64 #s(literal 1/256 binary64) (.f64 (.f64 x x) #s(literal 1/64 binary64))) (pow.f64 x #s(literal 10 binary64)))
(/ (+ 1/256 (* (pow x 2) (+ 1/64 (* 5/64 (pow x 2))))) (pow x 10))
(/.f64 (+.f64 #s(literal 1/256 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) #s(literal 5/64 binary64))))) (pow.f64 x #s(literal 10 binary64)))
(/ (+ 1/256 (* (pow x 2) (+ 1/64 (* (pow x 2) (+ 5/64 (* -1 (pow x 6))))))) (pow x 10))
(/.f64 (+.f64 #s(literal 1/256 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/64 binary64) (.f64 x (.f64 x (-.f64 #s(literal 5/64 binary64) (pow.f64 x #s(literal 6 binary64)))))))) (pow.f64 x #s(literal 10 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(* (pow x 2) (- (+ 1 (/ 5/64 (pow x 8))) (/ 1 (pow x 2))))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 5/64 binary64) (pow.f64 x #s(literal 8 binary64))))))
(* (pow x 2) (- (+ 1 (+ (/ 5/64 (pow x 8)) (* 1/64 (/ 1 (pow x 10))))) (/ 1 (pow x 2))))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 5/64 binary64) (pow.f64 x #s(literal 8 binary64)))) (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 10 binary64))))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(* (pow x 2) (- (+ 1 (/ 5/64 (pow x 8))) (/ 1 (pow x 2))))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 5/64 binary64) (pow.f64 x #s(literal 8 binary64))))))
(* (pow x 2) (- (+ 1 (+ (/ 5/64 (pow x 8)) (* 1/64 (/ 1 (pow x 10))))) (/ 1 (pow x 2))))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 5/64 binary64) (pow.f64 x #s(literal 8 binary64)))) (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 10 binary64))))))
(/ -1/16 (pow x 5))
(/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 5 binary64)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/.f64 (+.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))
(/.f64 (+.f64 #s(literal -1/16 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))))) (pow.f64 x #s(literal 5 binary64)))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))
(/.f64 (+.f64 #s(literal -1/16 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))))) (pow.f64 x #s(literal 5 binary64)))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)
(/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x x))) x)
(/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x x))) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)
(* -1 (/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x))
(/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x))))) x)
(* -1 (/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x))
(/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x))))) x)
(/ -1/16 (pow x 6))
(/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/.f64 (+.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/.f64 (+.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/.f64 (+.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(/ -1/8 (pow x 4))
(/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
(/ -1/8 (pow x 4))
(/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
(/ -1/16 (pow x 4))
(/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 4))
(+.f64 (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/8 binary64) (.f64 x x)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 4))
(+.f64 (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/8 binary64) (.f64 x x)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 4))
(+.f64 (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/8 binary64) (.f64 x x)))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x x))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x x))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x x))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x x))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x x))

eval156.0ms (1.2%)

Compiler: Compiled 86384 to 3299 computations (96.2% saved)

prune133.0ms (1%)

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	694	1	695
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	694	9	703

Accuracy

100.0%

Counts

703 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	2.8%	(log.f64 (/.f64 (-.f64 (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))))) (.f64 x x)) (-.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))) x)))
✓	1.9%	(log.f64 (-.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))))) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x x))) x)) (/.f64 (.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))) x))))
	1.9%	(log.f64 (-.f64 (.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x x))))) (-.f64 #s(literal 0 binary64) x)) (/.f64 (.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) x))))
✓	99.8%	(log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))))
✓	99.7%	(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)))
✓	99.8%	(log.f64 (+.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))))))
✓	99.3%	(log.f64 (+.f64 x (+.f64 x (/.f64 #s(literal -1/2 binary64) x))))
✓	53.1%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
✓	98.3%	(log.f64 (+.f64 x x))

Compiler

Compiled 824 to 191 computations (76.8% saved)

regimes12.0ms (0.1%)

Counts

10 → 1

Calls

Call 1

Inputs
(log.f64 (+.f64 x x))
(log.f64 (+.f64 x (+.f64 x (/.f64 #s(literal -1/2 binary64) x))))
(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)))
(log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))))
(log.f64 (+.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))))))
(log.f64 (/.f64 (-.f64 (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))))) (.f64 x x)) (-.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))) x)))
(log.f64 (-.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))))) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x x))) x)) (/.f64 (.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))) x))))
(log.f64 (-.f64 (.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x x))))) (-.f64 #s(literal 0 binary64) x)) (/.f64 (.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) x))))
(log.f64 (-.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))))) (-.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) x)) (/.f64 (.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) x))))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))

Outputs

(log.f64 (+.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))))))

Calls

3 calls:

4.0ms	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
3.0ms	x
3.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))`
99.8%	1	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes2.0ms (0%)

Counts

4 → 1

Calls

Call 1

Inputs
(log.f64 (+.f64 x x))
(log.f64 (+.f64 x (+.f64 x (/.f64 #s(literal -1/2 binary64) x))))
(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)))
(log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))))

Outputs

(log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

3 → 1

Calls

Call 1

Inputs

(log.f64 (+.f64 x x))

(log.f64 (+.f64 x (+.f64 x (/.f64 #s(literal -1/2 binary64) x))))

(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))

Outputs
(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

2 → 1

Calls

Call 1

Inputs
(log.f64 (+.f64 x x))
(log.f64 (+.f64 x (+.f64 x (/.f64 #s(literal -1/2 binary64) x))))

Outputs
(log.f64 (+.f64 x (+.f64 x (/.f64 #s(literal -1/2 binary64) x))))

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
99.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(log.f64 (+.f64 x x))

Outputs
(log.f64 (+.f64 x x))

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
98.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify22.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	76
1	53	76
2	61	76
3	70	76
4	77	76
5	81	76
6	82	76

Stop Event

1×

saturated

Calls

Call 1

Inputs
(log.f64 (+.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))))))
(log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))))
(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)))
(log.f64 (+.f64 x (+.f64 x (/.f64 #s(literal -1/2 binary64) x))))
(log.f64 (+.f64 x x))

Outputs
(log.f64 (+.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))))))
(log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))))
(log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 2 binary64)))))
(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)))
(log.f64 (+.f64 x (+.f64 x (/.f64 #s(literal -1/2 binary64) x))))
(log.f64 (+.f64 x x))

soundness910.0ms (6.9%)

Rules

10204×	`accelerator-lowering-fma.f32`
10204×	`accelerator-lowering-fma.f64`
3650×	`-lowering-.f32`
3650×	`-lowering-.f64`
2854×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	595
1	411	569
2	1147	562
3	3325	524
4	7968	524
0	8520	495

Stop Event

1×	fuel
1×	iter limit
1×	node limit

Compiler

Compiled 94 to 46 computations (51.1% saved)

preprocess46.0ms (0.3%)

Compiler: Compiled 200 to 100 computations (50% saved)

analyze0.0ms (0%)

sample609.0ms (4.6%)

preprocess889.0ms (6.7%)

explain88.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify718.0ms (5.4%)

localize44.0ms (0.3%)

series10.0ms (0.1%)

rewrite507.0ms (3.8%)

simplify409.0ms (3.1%)

eval49.0ms (0.4%)

prune76.0ms (0.6%)

simplify395.0ms (3%)

localize242.0ms (1.8%)

series95.0ms (0.7%)

rewrite1.1s (8.4%)

simplify492.0ms (3.7%)

eval332.0ms (2.5%)

prune309.0ms (2.3%)

simplify578.0ms (4.4%)

localize394.0ms (3%)

series18.0ms (0.1%)

rewrite1.0s (7.6%)

simplify376.0ms (2.8%)

eval819.0ms (6.2%)

prune299.0ms (2.3%)

simplify567.0ms (4.3%)

localize329.0ms (2.5%)

series11.0ms (0.1%)

rewrite587.0ms (4.4%)

simplify561.0ms (4.3%)

eval156.0ms (1.2%)

prune133.0ms (1%)

regimes12.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

simplify22.0ms (0.2%)

soundness910.0ms (6.9%)

preprocess46.0ms (0.3%)

end0.0ms (0%)

Profiling