Metrics for Rust f64::acosh

analyze2.0ms (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: 1.0ms

ival-acosh: 1.0ms (69.1% of total)

const: 0.0ms (0% of total)

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

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

sample552.0ms (5.3%)

Results

370.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 206.0ms

ival-acosh: 149.0ms (72.2% of total)

ival->=: 48.0ms (23.2% of total)

const: 7.0ms (3.4% of total)

backward-pass: 3.0ms (1.5% of total)

Bogosity

preprocess178.0ms (1.7%)

Algorithm

2×	egg-herbie

Rules

2004×	`fmsub-define`
1736×	`fmm-def`
1728×	`fma-lowering-fma.f32`
1728×	`fma-lowering-fma.f64`
1680×	`fnmadd-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
1	11	9
2	15	9
3	18	9
4	30	9
5	37	9
6	46	9
7	52	9
0	7	8
1	19	8
2	23	8
3	38	8
4	79	8
5	263	8
6	514	8
7	1117	8
8	3858	8
0	8013	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)))

explain97.0ms (0.9%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
113	-	-	`(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

42.0ms

512×

valid

Compiler

Compiled 80 to 23 computations (71.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-log: 6.0ms (28.1% of total)

ival-mult: 5.0ms (23.4% of total)

ival-sqrt: 4.0ms (18.7% of total)

ival-sub: 3.0ms (14% of total)

ival-add: 3.0ms (14% of total)

const: 1.0ms (4.7% 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
▶	57.2%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))

Compiler

Compiled 10 to 7 computations (30% saved)

simplify140.0ms (1.3%)

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

2004×	`fmsub-define`
1736×	`fmm-def`
1728×	`fma-lowering-fma.f32`
1728×	`fma-lowering-fma.f64`
1680×	`fnmadd-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	28
1	19	28
2	23	28
3	38	28
4	79	28
5	263	28
6	514	28
7	1117	28
8	3858	28
0	8013	28

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)

localize34.0ms (0.3%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (*.f64 x x) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
✓	accuracy	100.0%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
✓	accuracy	58.8%	(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))

Results

22.0ms

256×

valid

Compiler

Compiled 35 to 8 computations (77.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-sqrt: 4.0ms (31.6% of total)

ival-log: 3.0ms (23.7% of total)

ival-mult: 3.0ms (23.7% of total)

ival-sub: 1.0ms (7.9% of total)

ival-add: 1.0ms (7.9% of total)

const: 0.0ms (0% of total)

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

series31.0ms (0.3%)

Counts

4 → 48

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)>

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))))>

Calls

12 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)

rewrite302.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

2530×	`-lowering-.f32`
2530×	`-lowering-.f64`
1724×	`/-lowering-/.f32`
1724×	`/-lowering-/.f64`
1658×	`log-lowering-log.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	24
1	47	24
2	342	24
3	4206	24
0	8119	24

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 268

Calls

Call 1

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

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)))) (-.f64 #s(literal 0 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 x x) (+.f64 #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 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 x x) (+.f64 #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 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 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 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 #s(literal 0 binary64) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 x x))))) (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 (-.f64 #s(literal 0 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))))))))) (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 (.f64 x 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 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 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 x) (+.f64 (.f64 x x) #s(literal -1 binary64))) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 x x))))) (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 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x 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 x x) (+.f64 #s(literal -1 binary64) (.f64 x (-.f64 x (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64))))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (-.f64 (.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)))) (.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 (.f64 x 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 x x) (+.f64 #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 (.f64 x 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 #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 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 #s(literal 0 binary64) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 x x))))) (log.f64 (-.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 (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))) x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))))))))
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(/.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) #s(literal 1 binary64)))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 (.f64 x x) (+.f64 x #s(literal 1 binary64))))
(pow.f64 (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))) #s(literal 2 binary64))
(pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1 binary64)))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) #s(literal -1 binary64)))
(.f64 (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64))) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1 binary64))))))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 1 binary64))))
(.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(.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))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
(*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
(.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))))
(.f64 (+.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))))))
(.f64 (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal 1 binary64))) (+.f64 (.f64 x x) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64))) (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/4 binary64))) (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (.f64 x x) #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x 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)))))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x 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 x (.f64 x (*.f64 x x)))))))
(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) (-.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -1 binary64))) #s(literal 1 binary64)))) (-.f64 (.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -1 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -1 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) (-.f64 #s(literal 1 binary64) (.f64 x x)))

simplify276.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

3240×	`-lowering-.f32`
3240×	`-lowering-.f64`
1854×	`+-lowering-+.f64`
1854×	`+-lowering-+.f32`
1282×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	150	548
1	432	457
2	1373	445
3	4237	434
0	8342	434

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

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))))

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

eval59.0ms (0.6%)

Compiler: Compiled 9858 to 1334 computations (86.5% saved)

prune68.0ms (0.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	309	7	316
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	309	8	317

Accuracy

100.0%

Counts

317 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.2%	(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 x) (+.f64 #s(literal -1 binary64) (.f64 x (-.f64 x (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)))))))))
▶	99.2%	(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)))
▶	99.0%	(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))))
▶	99.4%	(log.f64 (+.f64 (.f64 #s(literal 1 binary64) (/.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))))))))
▶	99.4%	(log.f64 (+.f64 x (+.f64 (.f64 #s(literal 1 binary64) (/.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)))))))))
	8.6%	(log.f64 (+.f64 x (sqrt.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -1 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))))))))
✓	57.2%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
▶	98.4%	(log.f64 (+.f64 x x))

Compiler

Compiled 372 to 191 computations (48.7% saved)

simplify466.0ms (4.5%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	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 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))
✓	cost-diff	256	(+.f64 (.f64 #s(literal 1 binary64) (/.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	256	(log.f64 (+.f64 (.f64 #s(literal 1 binary64) (/.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 x #s(literal 2 binary64))
✓	cost-diff	128	(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))
✓	cost-diff	128	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)))
✓	cost-diff	128	(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (/.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	384	(+.f64 (.f64 #s(literal 1 binary64) (/.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	384	(+.f64 x (+.f64 (.f64 #s(literal 1 binary64) (/.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	384	(log.f64 (+.f64 x (+.f64 (.f64 #s(literal 1 binary64) (/.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

2152×	`fma-lowering-fma.f32`
2152×	`fma-lowering-fma.f64`
2128×	`-lowering-.f32`
2128×	`-lowering-.f64`
1640×	`fmm-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	341
1	84	302
2	209	301
3	518	293
4	1393	293
5	3489	293
6	7313	293
0	8008	293

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

localize300.0ms (2.9%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	99.6%	(/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
✓	accuracy	99.3%	(/.f64 #s(literal 1/16 binary64) (*.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	99.3%	(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
✓	accuracy	100.0%	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)))
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))
✓	accuracy	100.0%	(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (/.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	99.8%	(.f64 x (.f64 x x))
✓	accuracy	99.6%	(/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
✓	accuracy	99.3%	(/.f64 #s(literal 1/16 binary64) (*.f64 x x))

Results

197.0ms

256×

valid

Compiler

Compiled 416 to 34 computations (91.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-mult: 29.0ms (42.8% of total)

ival-log: 16.0ms (23.6% of total)

ival-add: 11.0ms (16.2% of total)

ival-div: 10.0ms (14.8% of total)

ival-sub: 1.0ms (1.5% of total)

const: 1.0ms (1.5% of total)

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

series95.0ms (0.9%)

Counts

21 → 252

Calls

Call 1

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

63 calls:

Time	Variable		Point	Expression
26.0ms	x	@	0	(log (+ x x))
20.0ms	x	@	-inf	(log (+ x x))
10.0ms	x	@	inf	(log (+ x x))
3.0ms	x	@	0	(log (+ x (+ (* 1 (/ -1/2 x)) (* x (+ 1 (/ (- -1/8 (/ 1/16 (* x x))) (* x (* x (* x x)))))))))
1.0ms	x	@	-inf	(log (+ x (+ (* 1 (/ -1/2 x)) (* x (+ 1 (/ (- -1/8 (/ 1/16 (* x x))) (* x (* x (* x x)))))))))

rewrite491.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3420×	`/-lowering-/.f32`
3420×	`/-lowering-/.f64`
2392×	`-lowering-.f32`
2392×	`-lowering-.f64`
1946×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	227
1	228	178
2	2736	171
0	9084	171

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 1239

Calls

Call 1

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

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

simplify270.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

3232×	`-lowering-.f32`
3232×	`-lowering-.f64`
2464×	`+-lowering-+.f64`
2464×	`+-lowering-+.f32`
1998×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	264	2313
1	762	2003
2	2391	1963
3	6846	1963
0	8088	1963

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

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)
(/ -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)
(* 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 -1/8) (* -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)))
(/ -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 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))
(/ -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)))
(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 (.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 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 (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 x) (log.f64 #s(literal 2 binary64)))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (+.f64 (log.f64 x) (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 (+.f64 (log.f64 x) (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 (+.f64 (log.f64 #s(literal 2 binary64)) (/.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 (log.f64 (/.f64 #s(literal -1 binary64) 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 (+.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 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x 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 (.f64 x 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 (.f64 x 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 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) (*.f64 x x))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #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)))) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(.f64 x (+.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(-.f64 #s(literal 0 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (*.f64 x 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 (.f64 x 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 (.f64 x x) #s(literal -1/2 binary64)))))) (pow.f64 x #s(literal 5 binary64)))
(/ (- (* (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))))))) (pow.f64 x #s(literal 5 binary64)))
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) (*.f64 x x))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(.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)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))))
x
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 1)))
(.f64 x (+.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 1)))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (-.f64 #s(literal 0 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 (.f64 x x) #s(literal -1/8 binary64))) (pow.f64 x #s(literal 5 binary64)))
(/ (- (* (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)))) (pow.f64 x #s(literal 5 binary64)))
(/ (- (* (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)))) (pow.f64 x #s(literal 5 binary64)))
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 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (+.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 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(+ (log 2) (log x))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (log x))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (log x))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (log x))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(+ (log -2) (* -1 (log (/ -1 x))))
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(/.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 (.f64 x x) #s(literal -1/8 binary64))) (pow.f64 x #s(literal 5 binary64)))
(/ (- (* (pow x 2) (- (* 2 (pow x 4)) 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 #s(literal 2 binary64) (.f64 x x))))))) (pow.f64 x #s(literal 5 binary64)))
(/ (- (* (pow x 2) (- (* 2 (pow x 4)) 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 #s(literal 2 binary64) (.f64 x x))))))) (pow.f64 x #s(literal 5 binary64)))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (- 2 (* 1/8 (/ 1 (pow x 4)))))
(.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
(.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))))))
(* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
(.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))))))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))
(.f64 x (+.f64 #s(literal 2 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)))) 2)))
(.f64 x (+.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 2 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)))) 2)))
(.f64 x (+.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/8 binary64) (.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))
(/ -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 (.f64 x 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 (.f64 x 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 (.f64 x 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))))
(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))

eval227.0ms (2.2%)

Compiler: Compiled 64025 to 4512 computations (93% saved)

prune199.0ms (1.9%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	1898	9	1907
Fresh	0	2	2
Picked	3	2	5
Done	0	1	1
Total	1901	14	1915

Accuracy

100.0%

Counts

1915 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	2.0%	(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)))
	2.0%	(log.f64 (/.f64 (-.f64 (.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) (.f64 (.f64 x x) (.f64 (+.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 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 -1/2 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)))))))))
	36.2%	(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 x) (+.f64 #s(literal -1 binary64) (.f64 x (-.f64 x (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)))))))))
	2.0%	(log.f64 (-.f64 (/.f64 (.f64 x x) (-.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 (/.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 -1/2 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))))))))))
	99.4%	(log.f64 (-.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)))
▶	99.4%	(log.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))))))) x))
▶	99.0%	(log.f64 (+.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))
✓	99.2%	(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)))
▶	56.7%	(log.f64 (+.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (.f64 (.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 #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 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))))))))
	8.6%	(log.f64 (+.f64 x (sqrt.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -1 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))))))))
✓	57.2%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
✓	98.4%	(log.f64 (+.f64 x x))
▶	99.2%	(log.f64 (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) (*.f64 x x)))))
	99.0%	(log.f64 (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))))

Compiler

Compiled 1076 to 375 computations (65.1% saved)

simplify183.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 20 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	256	(.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 #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)))))
✓	cost-diff	3328	(.f64 (.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 #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 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))))))
✓	cost-diff	3456	(+.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (.f64 (.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 #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 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)))))))
✓	cost-diff	3456	(log.f64 (+.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (.f64 (.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 #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 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))))))))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) (.f64 x x))
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) (.f64 x x)))
✓	cost-diff	128	(.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) (*.f64 x x))))
✓	cost-diff	128	(log.f64 (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) (*.f64 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 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)
✓	cost-diff	0	(log.f64 (+.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) 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 (+.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	256	(log.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))))))) x))

Rules

2568×	`-lowering-.f32`
2568×	`-lowering-.f64`
2268×	`+-lowering-+.f64`
2268×	`+-lowering-+.f32`
1336×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	716
1	127	569
2	424	551
3	2020	524
4	7845	524
0	8359	524

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

localize608.0ms (5.8%)

Localize:

Found 20 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 (.f64 x (.f64 x x))))
✓	accuracy	99.3%	(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
✓	accuracy	7.4%	(-.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	4.9%	(-.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	99.8%	(.f64 x (.f64 x x))
✓	accuracy	99.6%	(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
✓	accuracy	99.3%	(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
✓	accuracy	58.6%	(.f64 (.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 #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 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))))))
✓	accuracy	100.0%	(log.f64 (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) (*.f64 x x)))))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) (*.f64 x x))))
✓	accuracy	99.3%	(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
✓	accuracy	99.2%	(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) (.f64 x x))
✓	accuracy	100.0%	(/.f64 #s(literal -1/2 binary64) x)
✓	accuracy	100.0%	(+.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)
✓	accuracy	100.0%	(+.f64 x (/.f64 #s(literal -1/2 binary64) x))
✓	accuracy	100.0%	(log.f64 (+.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	99.6%	(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
✓	accuracy	99.3%	(/.f64 #s(literal -1/16 binary64) (*.f64 x x))

Results

316.0ms	171×	2	valid
89.0ms	79×	1	valid
3.0ms	6×	0	valid

Compiler

Compiled 1051 to 42 computations (96% saved)

Precisions

Click to see histograms. Total time spent on operations: 246.0ms

ival-div: 62.0ms (25.2% of total)

ival-mult: 50.0ms (20.3% of total)

backward-pass: 48.0ms (19.5% of total)

ival-log: 38.0ms (15.5% of total)

ival-add: 34.0ms (13.8% of total)

ival-sub: 12.0ms (4.9% of total)

const: 2.0ms (0.8% of total)

series14.0ms (0.1%)

Counts

26 → 312

Calls

Call 1

Inputs
#<alt (log (+ (+ (/ -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))))))) 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 (/ -1/2 x)) x))>
#<alt (+ (+ x (/ -1/2 x)) x)>
#<alt (+ x (/ -1/2 x))>
#<alt (/ -1/2 x)>
#<alt (log (* x (+ 2 (/ (+ -1/2 (/ -1/8 (* x x))) (* x x)))))>
#<alt (* x (+ 2 (/ (+ -1/2 (/ -1/8 (* x x))) (* x x))))>
#<alt (+ 2 (/ (+ -1/2 (/ -1/8 (* x x))) (* x x)))>
#<alt (/ (+ -1/2 (/ -1/8 (* x x))) (* x x))>
#<alt (log (+ (* 1 (/ -1/2 x)) (* (* (* x (+ (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))) 2)) (- (/ -1/2 x) (* x (+ (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))) 2)))) (/ 1 (- (/ -1/2 x) (* x (+ (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))) 2)))))))>
#<alt (+ (* 1 (/ -1/2 x)) (* (* (* x (+ (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))) 2)) (- (/ -1/2 x) (* x (+ (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))) 2)))) (/ 1 (- (/ -1/2 x) (* x (+ (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))) 2))))))>
#<alt (* (* (* x (+ (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))) 2)) (- (/ -1/2 x) (* x (+ (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))) 2)))) (/ 1 (- (/ -1/2 x) (* x (+ (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))) 2)))))>
#<alt (* (* x (+ (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))) 2)) (- (/ -1/2 x) (* x (+ (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))) 2))))>
#<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))))))) (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))))>
#<alt (/ -1/16 (* x x))>
#<alt (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))>
#<alt (* x (* x x))>
#<alt (* x (* x (* x x)))>
#<alt (/ -1/8 (* x x))>
#<alt (- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* 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) (- (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 -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 (/ -1/8 (pow x 4))>
#<alt (/ (- (* -1/2 (pow x 2)) 1/8) (pow x 4))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 4))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 4))>
#<alt 2>
#<alt (- 2 (* 1/2 (/ 1 (pow x 2))))>
#<alt (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))>
#<alt (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))>
#<alt 2>
#<alt (- 2 (* 1/2 (/ 1 (pow x 2))))>
#<alt (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))>
#<alt (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))>
#<alt (/ -1/8 (pow x 4))>
#<alt (/ (- (* -1/2 (pow x 2)) 1/8) (pow x 4))>
#<alt (/ (- (* -1/2 (pow x 2)) 1/8) (pow x 4))>
#<alt (/ (- (* -1/2 (pow x 2)) 1/8) (pow x 4))>
#<alt (/ -1/2 (pow x 2))>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ -1/2 (pow x 2))>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (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 (/ -1/16 (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 (/ -1/256 (pow x 10))>
#<alt (/ (- (* -1/64 (pow x 2)) 1/256) (pow x 10))>
#<alt (/ (- (* (pow x 2) (- (* 1/64 (pow x 2)) 1/64)) 1/256) (pow x 10))>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (+ 1/64 (* 5/16 (pow x 2)))) 1/64)) 1/256) (pow x 10))>
#<alt (* -4 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (/ 1/2 (pow x 4)) (+ 4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (+ (/ 1/2 (pow x 4)) (* 5/16 (/ 1 (pow x 6)))) (+ 4 (/ 1 (pow x 2)))))>
#<alt (* -4 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (/ 1/2 (pow x 4)) (+ 4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (+ (/ 1/2 (pow x 4)) (* 5/16 (/ 1 (pow x 6)))) (+ 4 (/ 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 (/ 1/256 (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 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 (/ -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 (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))>
#<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))>

Calls

78 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))))))) 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)))
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)))))))) (* x x)) (- (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x)))
0.0ms	x	@	0	(* (* x (+ (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))) 2)) (- (/ -1/2 x) (* x (+ (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))) 2))))

rewrite507.0ms (4.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3026×	`-lowering-.f32`
3026×	`-lowering-.f64`
1678×	`/-lowering-/.f32`
1678×	`/-lowering-/.f64`
1348×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	505
1	326	343
2	3745	328
0	8110	328

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 668

Calls

Call 1

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

Outputs
(log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 (+.f64 (+.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 1 binary64)) x)))
(+.f64 (log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 (+.f64 (+.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 1 binary64)) 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 #s(literal -1/2 binary64) x) (.f64 (+.f64 (+.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 1 binary64)) 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 #s(literal -1/2 binary64) x) (.f64 (+.f64 (+.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 1 binary64)) 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 #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 #s(literal 0 binary64) (log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 (+.f64 (+.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 1 binary64)) x))))
(+.f64 (log.f64 (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 (+.f64 (+.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 1 binary64)) x)) (-.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))))) (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 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 (+.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 (-.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 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 (+.f64 (+.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 1 binary64)) x)) (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 (+.f64 (+.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 1 binary64)) 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 #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 (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 (+.f64 (+.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 1 binary64)) 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 #s(literal -1/2 binary64) x) (.f64 (+.f64 (+.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 1 binary64)) 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 (+.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 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 (+.f64 (+.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 1 binary64)) 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))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 (+.f64 (+.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 1 binary64)) x))))
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simplify370.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

4384×	`-lowering-.f32`
4384×	`-lowering-.f64`
3938×	`+-lowering-+.f64`
3938×	`+-lowering-+.f32`
1790×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	347	3308
1	997	2842
2	3103	2691
0	8252	2691

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

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))
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-1
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(pow x 3)
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(/ -1/8 (pow x 2))
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Outputs
(+ (log -1/16) (* -5 (log x)))
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(+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))
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(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))
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(+ (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 (.f64 (+.f64 #s(literal 6 binary64) (.f64 x (*.f64 x #s(literal -136/3 binary64)))) x) x))))
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(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
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(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
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(/ -1/16 (pow x 5))
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(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
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(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))
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(* 2 x)
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(+.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 5/64 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 10 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 x (.f64 x (+.f64 #s(literal 1/64 binary64) (.f64 x (.f64 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 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))
(/ -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 (.f64 x 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 (.f64 x 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 (.f64 x 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))))
(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))
(/ -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 (.f64 x 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 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 #s(literal 0 binary64) x))

eval402.0ms (3.9%)

Compiler: Compiled 156290 to 6026 computations (96.1% saved)

prune256.0ms (2.4%)

Pruning

17 alts after pruning (11 fresh and 6 done)

	Pruned	Kept	Total
New	2131	7	2138
Fresh	2	4	6
Picked	2	3	5
Done	0	3	3
Total	2135	17	2152

Accuracy

100.0%

Counts

2152 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	2.7%	(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 #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)))
▶	2.1%	(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 (/.f64 x (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))))) x)) x)))
	2.0%	(log.f64 (/.f64 (-.f64 (.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) (.f64 (.f64 x x) (.f64 (+.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 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 -1/2 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)))))))))
	2.0%	(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 x #s(literal -1/2 binary64))) (-.f64 (.f64 x (.f64 (+.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)))
	2.0%	(log.f64 (/.f64 (+.f64 (.f64 (/.f64 #s(literal -1/2 binary64) x) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 (+.f64 (+.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 1 binary64)) 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)))))) x) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 (+.f64 (+.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 1 binary64)) 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)))
	36.2%	(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 x) (+.f64 #s(literal -1 binary64) (.f64 x (-.f64 x (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)))))))))
▶	2.0%	(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 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)))))
▶	99.4%	(log.f64 (-.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)))
✓	99.4%	(log.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))))))) x))
✓	99.0%	(log.f64 (+.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))
✓	99.2%	(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)))
▶	56.7%	(log.f64 (+.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 (-.f64 (.f64 (/.f64 x (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))))) (/.f64 x (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x)))))) (.f64 (.f64 x #s(literal 2 binary64)) (.f64 x #s(literal 2 binary64)))) (-.f64 (/.f64 x (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))))) (.f64 x #s(literal 2 binary64))))))
	8.6%	(log.f64 (+.f64 x (sqrt.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -1 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))))))))
✓	57.2%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
✓	98.4%	(log.f64 (+.f64 x x))
▶	99.0%	(log.f64 (.f64 x (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))
✓	99.2%	(log.f64 (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) (*.f64 x x)))))

Compiler

Compiled 1569 to 493 computations (68.6% saved)

simplify252.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	768	(/.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)))
✓	cost-diff	1024	(.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))))
✓	cost-diff	5248	(-.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 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))))
✓	cost-diff	5248	(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 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)))))
✓	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 (/.f64 x (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x 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 (/.f64 x (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))))) x)) x)))
✓	cost-diff	640	(-.f64 (.f64 (/.f64 x (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))))) (/.f64 x (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x)))))) (.f64 (.f64 x #s(literal 2 binary64)) (.f64 x #s(literal 2 binary64))))
✓	cost-diff	3072	(/.f64 (-.f64 (.f64 (/.f64 x (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))))) (/.f64 x (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x)))))) (.f64 (.f64 x #s(literal 2 binary64)) (.f64 x #s(literal 2 binary64)))) (-.f64 (/.f64 x (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))))) (*.f64 x #s(literal 2 binary64))))
✓	cost-diff	3200	(+.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 (-.f64 (.f64 (/.f64 x (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))))) (/.f64 x (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x)))))) (.f64 (.f64 x #s(literal 2 binary64)) (.f64 x #s(literal 2 binary64)))) (-.f64 (/.f64 x (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))))) (.f64 x #s(literal 2 binary64)))))
✓	cost-diff	3200	(log.f64 (+.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 (-.f64 (.f64 (/.f64 x (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))))) (/.f64 x (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x)))))) (.f64 (.f64 x #s(literal 2 binary64)) (.f64 x #s(literal 2 binary64)))) (-.f64 (/.f64 x (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))))) (.f64 x #s(literal 2 binary64))))))
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
✓	cost-diff	0	(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
✓	cost-diff	0	(.f64 x (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))
✓	cost-diff	0	(log.f64 (.f64 x (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))
✓	cost-diff	0	(+.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))
✓	cost-diff	128	(.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)))
✓	cost-diff	128	(-.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))
✓	cost-diff	128	(log.f64 (-.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)))

Rules

3540×	`+-lowering-+.f64`
3540×	`+-lowering-+.f32`
2832×	`/-lowering-/.f32`
2832×	`/-lowering-/.f64`
2528×	`-lowering-.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	837
1	164	740
2	560	718
3	3270	677
0	8610	677

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

Outputs
(log (- (* x (+ (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))) 2)) (/ 1/2 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)))))
(- (* x (+ (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))) 2)) (/ 1/2 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))))
(* x (+ (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))) 2))
(+.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)))
x
(+ (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))) 2)
(+.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) x) (.f64 x (*.f64 x x))) #s(literal 2 binary64))
(/ (+ -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))) 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))
2
#s(literal 2 binary64)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
1/2
#s(literal 1/2 binary64)
(log (* x (- 2 (/ 1/2 (* x x)))))
(log.f64 (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))))
(* x (- 2 (/ 1/2 (* x x))))
(.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))))
x
(- 2 (/ 1/2 (* x x)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
2
#s(literal 2 binary64)
(/ 1/2 (* x x))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
1/2
#s(literal 1/2 binary64)
(* x x)
(*.f64 x x)
(log (+ (* 1 (/ -1/2 x)) (/ (- (* (/ x (/ (* x (* x (* x x))) (+ -1/8 (/ -1/16 (* x x))))) (/ x (/ (* x (* x (* x x))) (+ -1/8 (/ -1/16 (* x x)))))) (* (* x 2) (* x 2))) (- (/ x (/ (* x (* x (* x x))) (+ -1/8 (/ -1/16 (* x x))))) (* x 2)))))
(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 (/ -1/2 x)) (/ (- (* (/ x (/ (* x (* x (* x x))) (+ -1/8 (/ -1/16 (* x x))))) (/ x (/ (* x (* x (* x x))) (+ -1/8 (/ -1/16 (* x x)))))) (* (* x 2) (* x 2))) (- (/ x (/ (* x (* x (* x x))) (+ -1/8 (/ -1/16 (* x x))))) (* x 2))))
(+.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 (/ -1/2 x))
(/.f64 #s(literal -1/2 binary64) x)
1
#s(literal 1 binary64)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
-1/2
#s(literal -1/2 binary64)
x
(/ (- (* (/ x (/ (* x (* x (* x x))) (+ -1/8 (/ -1/16 (* x x))))) (/ x (/ (* x (* x (* x x))) (+ -1/8 (/ -1/16 (* x x)))))) (* (* x 2) (* x 2))) (- (/ x (/ (* x (* x (* x x))) (+ -1/8 (/ -1/16 (* x x))))) (* x 2)))
(+.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)))
(- (* (/ x (/ (* x (* x (* x x))) (+ -1/8 (/ -1/16 (* x x))))) (/ x (/ (* x (* x (* x x))) (+ -1/8 (/ -1/16 (* x x)))))) (* (* x 2) (* x 2)))
(+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x)))) (.f64 x (.f64 x x)))) (.f64 (*.f64 x x) #s(literal -4 binary64)))
(* (/ x (/ (* x (* x (* x x))) (+ -1/8 (/ -1/16 (* x x))))) (/ x (/ (* x (* x (* x x))) (+ -1/8 (/ -1/16 (* x x))))))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x)))) (.f64 x (*.f64 x x))))
(/ x (/ (* x (* x (* x x))) (+ -1/8 (/ -1/16 (* x x)))))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (* x (* x (* x x))) (+ -1/8 (/ -1/16 (* x x))))
(/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))))
(* x (* x (* x x)))
(.f64 x (.f64 x (*.f64 x x)))
(* x (* x x))
(.f64 x (.f64 x x))
(* x 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 2) (* x 2))
(.f64 x (.f64 x #s(literal 4 binary64)))
(* x 2)
(*.f64 x #s(literal 2 binary64))
2
#s(literal 2 binary64)
(- (/ x (/ (* x (* x (* x x))) (+ -1/8 (/ -1/16 (* x x))))) (* x 2))
(+.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)))
(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 (/ (* x (* x (* x x))) (+ -1/8 (/ -1/16 (* 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 (/ (* x (* x (* x x))) (+ -1/8 (/ -1/16 (* 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 (/.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) x) (.f64 x (*.f64 x x))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(/ (+ -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))) 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 (/ (* x (* x (* x x))) (+ -1/8 (/ -1/16 (* 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))))
(+ (/ -1/2 x) (+ (/ x (/ (* x (* x (* x x))) (+ -1/8 (/ -1/16 (* 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)))
(+ (/ x (/ (* x (* x (* x x))) (+ -1/8 (/ -1/16 (* 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))))
(/ x (/ (* x (* x (* x x))) (+ -1/8 (/ -1/16 (* x x)))))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (* x (* x (* x x))) (+ -1/8 (/ -1/16 (* x x))))
(/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.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 (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) (- (/ -1/2 x) x)))) (/ (* x x) (+ (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) (- (/ -1/2 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 (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) (- (/ -1/2 x) x)))) (/ (* x x) (+ (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) (- (/ -1/2 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 (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) (- (/ -1/2 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)))))))
(+.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 (/.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) x) (.f64 x (*.f64 x x))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(/ (+ -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))) 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 (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) (- (/ -1/2 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 #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 (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) (- (/ -1/2 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)
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(/ (* x x) (+ (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) (- (/ -1/2 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)))))

localize770.0ms (7.4%)

Localize:

Found 20 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 (.f64 x (.f64 x x))))
✓	accuracy	99.3%	(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
✓	accuracy	7.4%	(+.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))
✓	accuracy	7.2%	(-.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 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))))
✓	accuracy	99.3%	(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
✓	accuracy	91.5%	(/.f64 x (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x)))))
✓	accuracy	7.4%	(-.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (+.f64 (/.f64 x (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))))) x)) x)
✓	accuracy	4.9%	(-.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	99.8%	(.f64 x (.f64 x x))
✓	accuracy	99.3%	(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
✓	accuracy	91.5%	(/.f64 x (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x)))))
✓	accuracy	58.7%	(/.f64 (-.f64 (.f64 (/.f64 x (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))))) (/.f64 x (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x)))))) (.f64 (.f64 x #s(literal 2 binary64)) (.f64 x #s(literal 2 binary64)))) (-.f64 (/.f64 x (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))))) (*.f64 x #s(literal 2 binary64))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 x (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))
✓	accuracy	100.0%	(log.f64 (.f64 x (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))
✓	accuracy	99.2%	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	99.6%	(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
✓	accuracy	99.3%	(/.f64 #s(literal -1/16 binary64) (*.f64 x x))

Results

383.0ms	184×	2	valid
111.0ms	67×	1	valid
3.0ms	5×	0	valid

Compiler

Compiled 1520 to 52 computations (96.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 307.0ms

ival-log: 79.0ms (25.7% of total)

ival-div: 60.0ms (19.5% of total)

backward-pass: 57.0ms (18.6% of total)

ival-mult: 55.0ms (17.9% of total)

ival-add: 28.0ms (9.1% of total)

ival-sub: 27.0ms (8.8% of total)

const: 2.0ms (0.7% of total)

series19.0ms (0.2%)

Counts

28 → 336

Calls

Call 1

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

Calls

84 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(log (+ (* 1 (/ -1/2 x)) (/ (- (* (/ x (/ (* x (* x (* x x))) (+ -1/8 (/ -1/16 (* x x))))) (/ x (/ (* x (* x (* x x))) (+ -1/8 (/ -1/16 (* x x)))))) (* (* x 2) (* x 2))) (- (/ x (/ (* x (* x (* x x))) (+ -1/8 (/ -1/16 (* x x))))) (* x 2)))))
1.0ms	x	@	0	(/ (- (* (/ x (/ (* x (* x (* x x))) (+ -1/8 (/ -1/16 (* x x))))) (/ x (/ (* x (* x (* x x))) (+ -1/8 (/ -1/16 (* x x)))))) (* (* x 2) (* x 2))) (- (/ x (/ (* x (* x (* x x))) (+ -1/8 (/ -1/16 (* x x))))) (* x 2)))
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))))))) (+ (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) (- (/ -1/2 x) x)))) (/ (* x x) (+ (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) (- (/ -1/2 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))))))) (+ (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) (- (/ -1/2 x) x)))) (/ (* x x) (+ (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) (- (/ -1/2 x) x)))))
0.0ms	x	@	inf	(log (+ (* 1 (/ -1/2 x)) (/ (- (* (/ x (/ (* x (* x (* x x))) (+ -1/8 (/ -1/16 (* x x))))) (/ x (/ (* x (* x (* x x))) (+ -1/8 (/ -1/16 (* x x)))))) (* (* x 2) (* x 2))) (- (/ x (/ (* x (* x (* x x))) (+ -1/8 (/ -1/16 (* x x))))) (* x 2)))))

rewrite485.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2662×	`-lowering-.f32`
2662×	`-lowering-.f64`
2410×	`/-lowering-/.f32`
2410×	`/-lowering-/.f64`
1998×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	51	575
1	419	415
2	5261	410
0	8026	410

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 815

Calls

Call 1

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

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

simplify310.0ms (3%)

Algorithm

1×	egg-herbie

Rules

3540×	`-lowering-.f32`
3540×	`-lowering-.f64`
3196×	`+-lowering-+.f64`
3196×	`+-lowering-+.f32`
1688×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	320	3612
1	889	3108
2	2792	3036
3	7503	3036
0	8581	3036

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

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) (- (* 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))
(/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 6))
(/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 6))
2
(- 2 (* 1/8 (/ 1 (pow x 4))))
(+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))))
(+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))))
2
(- 2 (* 1/8 (/ 1 (pow x 4))))
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Outputs
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(/.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 (.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))))))) (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 5/2 binary64) (.f64 x x)) (+.f64 #s(literal -2 binary64) (/.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 (.f64 x (.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 (.f64 x x)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal -1 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 5/2 binary64) (.f64 x x)) (+.f64 #s(literal -2 binary64) (/.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 #s(literal 0 binary64) (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 7/32 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -5/2 binary64) (*.f64 x x))))))))
1
#s(literal 1 binary64)
(+ 1 (* -16 (pow x 6)))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -16 binary64)))
(+ 1 (* (pow x 6) (- (* 32 (pow x 2)) 16)))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -16 binary64) (.f64 x (*.f64 x #s(literal 32 binary64))))))
(+ 1 (* (pow x 6) (- (* (pow x 2) (+ 32 (* 64 (pow x 2)))) 16)))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -16 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 32 binary64) (.f64 (*.f64 x x) #s(literal 64 binary64)))))))
(* -2 (pow x 2))
(.f64 x (.f64 x #s(literal -2 binary64)))
(* (pow x 2) (- (* 3/2 (/ 1 (pow x 2))) 2))
(.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3/2 binary64) (*.f64 x x))))
(* (pow x 2) (- (+ (/ 1/8 (pow x 4)) (* 3/2 (/ 1 (pow x 2)))) 2))
(.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3/2 binary64) (.f64 x x)))))
(* (pow x 2) (- (+ (/ 1/8 (pow x 4)) (* 3/2 (/ 1 (pow x 2)))) (+ 2 (* 3/32 (/ 1 (pow x 6))))))
(.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 3/2 binary64) (.f64 x x)) (/.f64 #s(literal -3/32 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* -2 (pow x 2))
(.f64 x (.f64 x #s(literal -2 binary64)))
(* (pow x 2) (- (* 3/2 (/ 1 (pow x 2))) 2))
(.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3/2 binary64) (*.f64 x x))))
(* (pow x 2) (- (+ (/ 1/8 (pow x 4)) (* 3/2 (/ 1 (pow x 2)))) 2))
(.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3/2 binary64) (.f64 x x)))))
(* (pow x 2) (- (+ (/ 1/8 (pow x 4)) (* 3/2 (/ 1 (pow x 2)))) (+ 2 (* 3/32 (/ 1 (pow x 6))))))
(.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 3/2 binary64) (.f64 x x)) (/.f64 #s(literal -3/32 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(/ -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))
(/ -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 (.f64 x 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 (.f64 x 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 (.f64 x 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))))
(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)))
(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)
(/ -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 (.f64 x x) #s(literal -1/8 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 (.f64 x x) #s(literal -1/8 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 (.f64 x x) #s(literal -1/8 binary64))) (pow.f64 x #s(literal 5 binary64)))
(/ -1/8 (pow x 3))
(/.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 x x)) x)
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))
(/.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 (/ 1 (pow x 2)))) (pow x 3)))
(/.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 (/ 1 (pow x 2)))) (pow x 3)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ -1/8 (pow x 3))
(/.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 x x)) x)
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))
(/.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 (/ 1 (pow x 2)))) (pow x 3)))
(/.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 (/ 1 (pow x 2)))) (pow x 3)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (*.f64 x 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 (.f64 x 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 1/8 binary64) (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x))
(/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 #s(literal 0 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 (.f64 x 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 1/8 binary64) (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x))
(/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 #s(literal 0 binary64) x))

eval496.0ms (4.8%)

Compiler: Compiled 230825 to 6639 computations (97.1% saved)

prune348.0ms (3.3%)

Pruning

22 alts after pruning (14 fresh and 8 done)

	Pruned	Kept	Total
New	2640	9	2649
Fresh	1	5	6
Picked	3	2	5
Done	0	6	6
Total	2644	22	2666

Accuracy

100.0%

Counts

2666 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	2.0%	(log.f64 (/.f64 (-.f64 (+.f64 (.f64 (+.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 (/.f64 x (.f64 x x)) (.f64 x x)))) (+.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 1 binary64))))) (.f64 x (+.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 1 binary64)))))) (.f64 x x)) (-.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (+.f64 (/.f64 x (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))))) x)) x)))
	2.7%	(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 #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)))
	2.1%	(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 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (*.f64 x x))) x)) x)))
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✓	99.4%	(log.f64 (-.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)))
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✓	99.0%	(log.f64 (+.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))
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✓	57.2%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
✓	98.4%	(log.f64 (+.f64 x x))
✓	99.0%	(log.f64 (.f64 x (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))
✓	99.2%	(log.f64 (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) (*.f64 x x)))))

Compiler

Compiled 3203 to 624 computations (80.5% saved)

regimes40.0ms (0.4%)

Counts

33 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

17.0ms	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
9.0ms	x
9.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))`
99.4%	1	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes5.0ms (0%)

Counts

11 → 1

Calls

Call 1

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

Outputs

(log.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))))))) x))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

9 → 1

Calls

Call 1

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
99.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

6 → 1

Calls

Call 1

Inputs
(log.f64 (+.f64 x x))
(log.f64 (+.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))
(log.f64 (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))))
(log.f64 (.f64 x (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))
(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (/.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
99.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.0%	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 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
99.0%	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
98.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	152
1	75	152
2	83	152
3	89	152
4	94	152
5	96	152

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.5s (14.4%)

Rules

3420×	`/-lowering-/.f32`
3420×	`/-lowering-/.f64`
3240×	`-lowering-.f32`
3240×	`-lowering-.f64`
3232×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	264	2313
1	762	2003
2	2391	1963
3	6846	1963
0	8088	1963
0	33	227
1	228	178
2	2736	171
0	9084	171
0	150	548
1	432	457
2	1373	445
3	4237	434
0	8342	434
0	51	575
1	419	415
2	5261	410
0	8026	410

Stop Event

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

Compiler

Compiled 209 to 89 computations (57.4% saved)

preprocess54.0ms (0.5%)

Compiler: Compiled 352 to 130 computations (63.1% saved)

analyze2.0ms (0%)

sample552.0ms (5.3%)

preprocess178.0ms (1.7%)

explain97.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify140.0ms (1.3%)

localize34.0ms (0.3%)

series31.0ms (0.3%)

rewrite302.0ms (2.9%)

simplify276.0ms (2.6%)

eval59.0ms (0.6%)

prune68.0ms (0.6%)

simplify466.0ms (4.5%)

localize300.0ms (2.9%)

series95.0ms (0.9%)

rewrite491.0ms (4.7%)

simplify270.0ms (2.6%)

eval227.0ms (2.2%)

prune199.0ms (1.9%)

simplify183.0ms (1.8%)

localize608.0ms (5.8%)

series14.0ms (0.1%)

rewrite507.0ms (4.9%)

simplify370.0ms (3.5%)

eval402.0ms (3.9%)

prune256.0ms (2.4%)

simplify252.0ms (2.4%)

localize770.0ms (7.4%)

series19.0ms (0.2%)

rewrite485.0ms (4.6%)

simplify310.0ms (3%)

eval496.0ms (4.8%)

prune348.0ms (3.3%)

regimes40.0ms (0.4%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes8.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

simplify12.0ms (0.1%)

soundness1.5s (14.4%)

preprocess54.0ms (0.5%)

end0.0ms (0%)

Profiling