Metrics for Rust f64::acosh

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

Precisions

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

const: 0.0ms (0% of total)

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

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

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

sample575.0ms (5.6%)

Results

422.0ms

8256×

valid

Precisions

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

ival-acosh: 166.0ms (74.3% of total)

ival->=: 46.0ms (20.6% of total)

const: 8.0ms (3.6% of total)

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

Bogosity

preprocess187.0ms (1.8%)

Algorithm

2×	egg-herbie

Rules

2004×	`fmsub-define`
1734×	`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	18	8
2	22	8
3	37	8
4	76	8
5	260	8
6	511	8
7	1114	8
8	3803	8
9	7956	8
0	8001	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)))

explain83.0ms (0.8%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
131	-	-	`(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

45.0ms

512×

valid

Compiler

Compiled 80 to 23 computations (71.3% saved)

Precisions

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

ival-mult: 9.0ms (35.3% of total)

ival-log: 6.0ms (23.5% of total)

ival-sqrt: 4.0ms (15.7% of total)

ival-sub: 3.0ms (11.8% of total)

ival-add: 3.0ms (11.8% of total)

const: 1.0ms (3.9% 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
▶	50.4%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))

Compiler

Compiled 10 to 7 computations (30% saved)

simplify139.0ms (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`
1734×	`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	29
1	18	29
2	22	29
3	37	29
4	76	29
5	260	29
6	511	29
7	1114	29
8	3803	29
9	7956	29
0	8001	29

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize57.0ms (0.6%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.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	100.0%	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
✓	accuracy	52.4%	(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))

Results

47.0ms

256×

valid

Compiler

Compiled 35 to 8 computations (77.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 19.0ms (68.9% of total)

ival-log: 3.0ms (10.9% of total)

ival-sqrt: 2.0ms (7.3% of total)

ival-sub: 1.0ms (3.6% of total)

ival-add: 1.0ms (3.6% of total)

const: 1.0ms (3.6% of total)

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

series5.0ms (0%)

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)

rewrite270.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2512×	`-lowering-.f32`
2512×	`-lowering-.f64`
1724×	`/-lowering-/.f32`
1724×	`/-lowering-/.f64`
1636×	`log-lowering-log.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	24
1	46	24
2	339	24
3	4183	24
0	8166	24

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 271

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 (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(+.f64 (log.f64 (+.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (log.f64 (.f64 (-.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))))))
(+.f64 (log.f64 (+.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (log.f64 (/.f64 (-.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))))))
(+.f64 #s(literal 0 binary64) (log.f64 (+.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(+.f64 (log.f64 (+.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 3/2 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (+.f64 (.f64 x x) (.f64 x (-.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))))))))
(+.f64 (log.f64 (+.f64 #s(literal -1 binary64) (+.f64 (.f64 x x) (.f64 x (-.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))))))) (log.f64 (.f64 (+.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (+.f64 (.f64 x x) (.f64 x (-.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))))))))))
(+.f64 (log.f64 (+.f64 #s(literal -1 binary64) (+.f64 (.f64 x x) (.f64 x (-.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))))))) (log.f64 (/.f64 (+.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 (.f64 x x) (.f64 x (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 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 (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 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 #s(literal -1 binary64) (+.f64 (.f64 x x) (.f64 x (-.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))))))))))
(+.f64 (log.f64 (+.f64 (neg.f64 (.f64 x x)) (+.f64 (.f64 x x) #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))))))
(+.f64 (log.f64 (+.f64 (.f64 x x) (-.f64 #s(literal -1 binary64) (.f64 x x)))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)) x))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (+.f64 (.f64 x x) (.f64 x (-.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 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 (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 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 (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(+.f64 (log.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 3/2 binary64))) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (pow.f64 (+.f64 #s(literal -1 binary64) (.f64 x (-.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 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 (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))))) (-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (-.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 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 (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) (log.f64 (-.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (.f64 x (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 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 (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 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 #s(literal -1 binary64) (+.f64 (.f64 x x) (.f64 x (-.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))))))))
(-.f64 (log.f64 (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (log.f64 (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(-.f64 (log.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (.f64 x x) #s(literal -1 binary64))))) (log.f64 (.f64 (-.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 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 #s(literal -1 binary64) (+.f64 (.f64 x x) (.f64 x (-.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))))))))
(-.f64 (log.f64 (+.f64 (neg.f64 (.f64 x x)) (+.f64 (.f64 x x) #s(literal -1 binary64)))) (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))))))
(-.f64 (log.f64 (+.f64 (.f64 x x) (-.f64 #s(literal -1 binary64) (.f64 x x)))) (log.f64 (-.f64 (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)) x)))
(-.f64 (log.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 9/2 binary64)))) (log.f64 (.f64 (+.f64 #s(literal -1 binary64) (+.f64 (.f64 x x) (.f64 x (-.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))))) (+.f64 (.f64 (.f64 x x) (.f64 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 x) (.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 3/2 binary64)))))))))
(-.f64 (log.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 (.f64 x x) #s(literal -1 binary64)))))) (log.f64 (.f64 (+.f64 #s(literal -1 binary64) (+.f64 (.f64 x x) (.f64 x (-.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))))) (-.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 3/2 binary64))))))
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(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x (.f64 x x)) (/.f64 x (+.f64 (.f64 x x) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (/.f64 x (+.f64 (.f64 x x) #s(literal 1 binary64)))) (.f64 (.f64 x (.f64 x x)) (/.f64 x (+.f64 (.f64 x x) #s(literal 1 binary64))))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.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 (.f64 x x)) (/.f64 x (+.f64 (.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.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 x) (+.f64 #s(literal 1 binary64) (.f64 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 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 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 (.f64 (.f64 (.f64 x (.f64 x x)) (/.f64 x (+.f64 (.f64 x x) #s(literal 1 binary64)))) (.f64 (.f64 x (.f64 x x)) (/.f64 x (+.f64 (.f64 x x) #s(literal 1 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) (+.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 (.f64 x x)) (/.f64 x (+.f64 (.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (.f64 (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (sqrt.f64 (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(/.f64 (.f64 (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (hypot.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64))) (+.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) x))
(/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x))))) (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (hypot.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.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 (.f64 x x))))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.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 (.f64 x x))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 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 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(/.f64 (.f64 (+.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 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 (.f64 x x) #s(literal 1 binary64)) x))
(pow.f64 (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 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 (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (.f64 (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.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)))) #s(literal 1/4 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 x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) #s(literal -1 binary64)))
(.f64 (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 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 x) (.f64 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)) (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(.f64 (+.f64 (neg.f64 (.f64 (.f64 x x) (.f64 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 x) (.f64 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)) (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.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 (.f64 x x)))))))
(.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #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 (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 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 (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 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 x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal 1 binary64)))))) (+.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))) (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (-.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 x (.f64 x (*.f64 x x)))))))
(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 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 x (.f64 x (+.f64 (.f64 x x) #s(literal -1 binary64)))) #s(literal 1 binary64)))) (-.f64 (.f64 x (.f64 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 x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 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)))

simplify217.0ms (2.1%)

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	497
2	1371	485
3	4235	468
0	8340	468

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

eval60.0ms (0.6%)

Compiler: Compiled 10094 to 1350 computations (86.6% saved)

prune51.0ms (0.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	314	5	319
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	314	6	320

Accuracy

100.0%

Counts

320 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	3.5%	(-.f64 (log.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 (.f64 x x) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))))) (log.f64 (+.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)))))))
▶	99.5%	(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)))
▶	99.4%	(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))))
▶	99.5%	(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))))))))
✓	50.4%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
▶	98.4%	(log.f64 (+.f64 x x))

Compiler

Compiled 262 to 133 computations (49.2% saved)

simplify176.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(log.f64 (+.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))))))
✓	cost-diff	192	(.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 (.f64 x x) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
✓	cost-diff	192	(log.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 (.f64 x x) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))))))
✓	cost-diff	320	(-.f64 (log.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 (.f64 x x) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))))) (log.f64 (+.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)))))))
✓	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	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))))))))

Rules

1972×	`+-lowering-+.f64`
1972×	`+-lowering-+.f32`
1872×	`fma-define`
1666×	`-lowering-.f32`
1666×	`-lowering-.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	45	432
1	121	387
2	371	382
3	1688	382
4	6308	379
0	8166	379

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(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))
(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 (* (- (* (* x x) (* x (* x (* x x)))) (* (+ (* x x) -1) (* (+ (* x x) -1) (+ (* x x) -1)))) (/ 1 (- x (pow (+ (* x x) -1) 1/2))))) (log (+ (* x (* x (* x x))) (* (+ (* x x) -1) (+ (* x x) (+ (* x x) -1))))))
(log (* (- (* (* x x) (* x (* x (* x x)))) (* (+ (* x x) -1) (* (+ (* x x) -1) (+ (* x x) -1)))) (/ 1 (- x (pow (+ (* x x) -1) 1/2)))))
(* (- (* (* x x) (* x (* x (* x x)))) (* (+ (* x x) -1) (* (+ (* x x) -1) (+ (* x x) -1)))) (/ 1 (- x (pow (+ (* x x) -1) 1/2))))
(- (* (* x x) (* x (* x (* x x)))) (* (+ (* x x) -1) (* (+ (* x x) -1) (+ (* x x) -1))))
(* (* x x) (* x (* x (* x x))))
(* x x)
x
(* x (* x (* x x)))
(* x (* x x))
(* (+ (* x x) -1) (* (+ (* x x) -1) (+ (* x x) -1)))
(+ (* x x) -1)
-1
(* (+ (* x x) -1) (+ (* x x) -1))
(/ 1 (- x (pow (+ (* x x) -1) 1/2)))
1
(- x (pow (+ (* x x) -1) 1/2))
(pow (+ (* x x) -1) 1/2)
1/2
(log (+ (* x (* x (* x x))) (* (+ (* x x) -1) (+ (* x x) (+ (* x x) -1)))))
(+ (* x (* x (* x x))) (* (+ (* x x) -1) (+ (* x x) (+ (* x x) -1))))
(* (+ (* x x) -1) (+ (* x x) (+ (* x x) -1)))
(+ (* x x) (+ (* x x) -1))

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

localize559.0ms (5.4%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	28.9%	(log.f64 (+.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))))))
✓	accuracy	25.8%	(log.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 (.f64 x x) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))))))
✓	accuracy	19.2%	(-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 (.f64 x x) #s(literal -1 binary64)))))
✓	accuracy	8.4%	(-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
✓	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	99.4%	(/.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	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.4%	(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
✓	accuracy	99.3%	(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))

Results

298.0ms	120×	2	valid
149.0ms	126×	1	valid
5.0ms	10×	0	valid

Compiler

Compiled 585 to 46 computations (92.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 343.0ms

ival-pow: 91.0ms (26.6% of total)

ival-log: 75.0ms (21.9% of total)

ival-mult: 56.0ms (16.3% of total)

backward-pass: 47.0ms (13.7% of total)

ival-add: 32.0ms (9.3% of total)

ival-div: 28.0ms (8.2% of total)

ival-sub: 11.0ms (3.2% of total)

const: 2.0ms (0.6% of total)

series111.0ms (1.1%)

Counts

23 → 276

Calls

Call 1

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

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 (/ -1/2 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 (/ -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 (+ (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 (* 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 (sqrt -1)))>
#<alt (+ (log (/ -1 (sqrt -1))) (/ x (sqrt -1)))>
#<alt (+ (log (/ -1 (sqrt -1))) (* x (+ (* x (+ 3 (* 1/2 (- (* -2 (* (sqrt -1) (- (* 3 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (pow (sqrt -1) 2)))))) (/ 1 (sqrt -1)))))>
#<alt (+ (log (/ -1 (sqrt -1))) (* x (+ (* x (+ 3 (+ (* 1/6 (* x (+ (* -6 (* (sqrt -1) (- (* 1/2 (/ 1 (pow (sqrt -1) 4))) (* -1 (/ (- (* 3 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) (sqrt -1)))))) (+ (* 2 (/ 1 (pow (sqrt -1) 3))) (* 6 (- (* 3 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))))))) (* 1/2 (- (* -2 (* (sqrt -1) (- (* 3 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (pow (sqrt -1) 2))))))) (/ 1 (sqrt -1)))))>
#<alt (- (+ (log 6) (* -5 (log (/ 1 x)))) (+ (log 3) (* -4 (log (/ 1 x)))))>
#<alt (- (+ (log 6) (* -5 (log (/ 1 x)))) (+ (log 3) (+ (* -4 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (- (+ (log 6) (+ (* -5 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) (+ (log 3) (* -4 (log (/ 1 x)))))>
#<alt (- (+ (log 6) (+ (* -5 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (+ (log 3) (+ (* -4 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (- (+ (log -3/2) (* -3 (log (/ -1 x)))) (+ (log 3) (* -4 (log (/ -1 x)))))>
#<alt (- (+ (log -3/2) (+ (* -3 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (+ (log 3) (* -4 (log (/ -1 x)))))>
#<alt (- (+ (log -3/2) (+ (* -3 (log (/ -1 x))) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) (+ (log 3) (* -4 (log (/ -1 x)))))>
#<alt (- (+ (log -3/2) (+ (* -3 (log (/ -1 x))) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) (+ (log 3) (* -4 (log (/ -1 x)))))>
#<alt (log (/ -1 (sqrt -1)))>
#<alt (+ (log (/ -1 (sqrt -1))) (/ x (sqrt -1)))>
#<alt (+ (log (/ -1 (sqrt -1))) (* x (+ (* 1/2 (* x (- (* -2 (* (sqrt -1) (- (* 3 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (pow (sqrt -1) 2))))) (/ 1 (sqrt -1)))))>
#<alt (+ (log (/ -1 (sqrt -1))) (* x (+ (* x (+ (* 1/6 (* x (+ (* -6 (* (sqrt -1) (- (* 1/2 (/ 1 (pow (sqrt -1) 4))) (* -1 (/ (- (* 3 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) (sqrt -1)))))) (+ (* 2 (/ 1 (pow (sqrt -1) 3))) (* 6 (- (* 3 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))))))) (* 1/2 (- (* -2 (* (sqrt -1) (- (* 3 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (pow (sqrt -1) 2)))))) (/ 1 (sqrt -1)))))>
#<alt (+ (log 6) (* -5 (log (/ 1 x))))>
#<alt (- (+ (log 6) (* -5 (log (/ 1 x)))) (* 5/4 (/ 1 (pow x 2))))>
#<alt (+ (log 6) (+ (* -5 (log (/ 1 x))) (* -1 (/ (+ 5/4 (* 25/96 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 6) (+ (* -5 (log (/ 1 x))) (* -1 (/ (+ 25/96 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 5/4 (/ 1 (pow x 2))))>
#<alt (+ (log -3/2) (* -3 (log (/ -1 x))))>
#<alt (- (+ (log -3/2) (* -3 (log (/ -1 x)))) (* 3/4 (/ 1 (pow x 2))))>
#<alt (+ (log -3/2) (+ (* -3 (log (/ -1 x))) (* -1 (/ (+ 3/4 (* 7/96 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -3/2) (+ (* -3 (log (/ -1 x))) (* 5/96 (/ 1 (pow x 6))))) (+ (/ 7/96 (pow x 4)) (* 3/4 (/ 1 (pow x 2)))))>
#<alt (/ -1 (sqrt -1))>
#<alt (- (* -1 (/ x (pow (sqrt -1) 2))) (/ 1 (sqrt -1)))>
#<alt (- (* x (- (* x (- (* 3 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (pow (sqrt -1) 2)))) (/ 1 (sqrt -1)))>
#<alt (- (* x (- (* x (- (+ (* 3 (/ 1 (sqrt -1))) (* x (- (* 1/2 (/ 1 (pow (sqrt -1) 4))) (* -1 (/ (- (* 3 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) (sqrt -1)))))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (pow (sqrt -1) 2)))) (/ 1 (sqrt -1)))>
#<alt (* 6 (pow x 5))>
#<alt (* (pow x 5) (- 6 (* 15/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 6 (/ 25/8 (pow x 4))) (* 15/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 6 (/ 25/8 (pow x 4))) (+ (* 15/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))))>
#<alt (* 3/2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 9/8 (/ 1 (pow x 2))) 3/2)))>
#<alt (* -1 (* (pow x 3) (- (* 9/8 (/ 1 (pow x 2))) (+ 3/2 (/ 5/16 (pow x 4))))))>
#<alt (* -1 (* (pow x 3) (- (+ (* -1 (/ (+ 5/16 (* 7/128 (/ 1 (pow x 2)))) (pow x 4))) (* 9/8 (/ 1 (pow x 2)))) 3/2)))>
#<alt (* -3 (pow x 2))>
#<alt (* (pow x 2) (- (* -3/2 (pow x 2)) 3))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* 9/4 (pow x 4)) 3/2)) 3))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* (pow x 4) (+ 9/4 (* 27/5 (pow x 2)))) 3/2)) 3))>
#<alt (+ (log 3) (* -4 (log (/ 1 x))))>
#<alt (- (+ (log 3) (* -4 (log (/ 1 x)))) (/ 1 (pow x 2)))>
#<alt (+ (log 3) (+ (* -4 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/6 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 3) (+ (* -4 (log (/ 1 x))) (* 1/36 (/ 1 (pow x 8))))) (+ (/ 1/6 (pow x 4)) (/ 1 (pow x 2))))>
#<alt (+ (log 3) (* -4 (log (/ -1 x))))>
#<alt (- (+ (log 3) (* -4 (log (/ -1 x)))) (/ 1 (pow x 2)))>
#<alt (+ (log 3) (+ (* -4 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/6 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 3) (+ (* -4 (log (/ -1 x))) (* 1/36 (/ 1 (pow x 8))))) (+ (/ 1/6 (pow x 4)) (/ 1 (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 (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (* -1 (sqrt -1))>
#<alt (- x (sqrt -1))>
#<alt (- (* x (+ 1 (* -1/2 (/ x (sqrt -1))))) (sqrt -1))>
#<alt (- (* x (+ 1 (* x (- (* 1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))) (sqrt -1))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x)>
#<alt (/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))))) x)>
#<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>
#<alt (+ 1 (* -3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 3 (pow x 2)) 3)))>
#<alt (+ 1 (* (pow x 2) (- (* 3 (pow x 2)) 3)))>
#<alt (* 3 (pow x 4))>
#<alt (* (pow x 4) (- 3 (* 3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 3 (/ 1 (pow x 4))) (* 3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 3 (/ 1 (pow x 4))) (* 3 (/ 1 (pow x 2)))))>
#<alt (* 3 (pow x 4))>
#<alt (* (pow x 4) (- 3 (* 3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 3 (/ 1 (pow x 4))) (* 3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 3 (/ 1 (pow x 4))) (* 3 (/ 1 (pow x 2)))))>

Calls

69 calls:

Time	Variable		Point	Expression
49.0ms	x	@	0	(log (+ x x))
29.0ms	x	@	-inf	(log (+ x x))
9.0ms	x	@	inf	(log (+ x x))
2.0ms	x	@	0	(- (log (* (- (* (* x x) (* x (* x (* x x)))) (* (+ (* x x) -1) (* (+ (* x x) -1) (+ (* x x) -1)))) (/ 1 (- x (pow (+ (* x x) -1) 1/2))))) (log (+ (* x (* x (* x x))) (* (+ (* x x) -1) (+ (* x x) (+ (* x x) -1))))))
2.0ms	x	@	inf	(- (log (* (- (* (* x x) (* x (* x (* x x)))) (* (+ (* x x) -1) (* (+ (* x x) -1) (+ (* x x) -1)))) (/ 1 (- x (pow (+ (* x x) -1) 1/2))))) (log (+ (* x (* x (* x x))) (* (+ (* x x) -1) (+ (* x x) (+ (* x x) -1))))))

rewrite441.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3160×	`-lowering-.f32`
3160×	`-lowering-.f64`
1620×	`fmsub-define`
1620×	`fmm-def`
1618×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	274
1	329	198
2	3728	195
0	8914	195

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 894

Calls

Call 1

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

Outputs
(log.f64 (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))))
(+.f64 (log.f64 x) (log.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))))
(+.f64 (log.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 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 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))) (/.f64 #s(literal -1/2 binary64) x)))))))
(+.f64 (log.f64 (.f64 (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 (/.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 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))))))
(+.f64 (log.f64 (+.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 x))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal -1/2 binary64) x)))) (+.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (.f64 (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 (/.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)))))))))))
(-.f64 (log.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))))))) (log.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))) (/.f64 #s(literal -1/2 binary64) x))))))
(-.f64 (log.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 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 x x) (.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) x) x) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))))))
(-.f64 (log.f64 (.f64 (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))))) (log.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #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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(/.f64 (-.f64 (.f64 (-.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 (.f64 x x) #s(literal -1 binary64))))) (-.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 (.f64 x x) #s(literal -1 binary64)))))) (.f64 (+.f64 (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.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 (.f64 x x) #s(literal -1 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.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 (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 (.f64 x x) #s(literal -1 binary64))))) (+.f64 (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))))) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 (.f64 x x) #s(literal -1 binary64)))))))
(pow.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 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 (.f64 x (.f64 x (.f64 x x))))) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 (.f64 x x) #s(literal -1 binary64))))))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 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 (+.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) #s(literal -1 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64)))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 (.f64 x x) #s(literal -1 binary64))))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 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 (.f64 x x) #s(literal -1 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 (.f64 x x) #s(literal -1 binary64))))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))))))
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simplify345.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

3802×	`+-lowering-+.f64`
3802×	`+-lowering-+.f32`
2974×	`-lowering-.f32`
2974×	`-lowering-.f64`
1460×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	477	2960
1	1432	2733
2	4776	2683
0	8280	2683

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

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)))
(/ -1/2 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)
(/ -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)))
(+ (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)))
(* 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)))))
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(/ -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)
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(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
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(* -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 (sqrt -1)))
(+ (log (/ -1 (sqrt -1))) (/ x (sqrt -1)))
(+ (log (/ -1 (sqrt -1))) (* x (+ (* x (+ 3 (* 1/2 (- (* -2 (* (sqrt -1) (- (* 3 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (pow (sqrt -1) 2)))))) (/ 1 (sqrt -1)))))
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(- (+ (log 6) (* -5 (log (/ 1 x)))) (+ (log 3) (* -4 (log (/ 1 x)))))
(- (+ (log 6) (* -5 (log (/ 1 x)))) (+ (log 3) (+ (* -4 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))))
(- (+ (log 6) (+ (* -5 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) (+ (log 3) (* -4 (log (/ 1 x)))))
(- (+ (log 6) (+ (* -5 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (+ (log 3) (+ (* -4 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))))
(- (+ (log -3/2) (* -3 (log (/ -1 x)))) (+ (log 3) (* -4 (log (/ -1 x)))))
(- (+ (log -3/2) (+ (* -3 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (+ (log 3) (* -4 (log (/ -1 x)))))
(- (+ (log -3/2) (+ (* -3 (log (/ -1 x))) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) (+ (log 3) (* -4 (log (/ -1 x)))))
(- (+ (log -3/2) (+ (* -3 (log (/ -1 x))) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) (+ (log 3) (* -4 (log (/ -1 x)))))
(log (/ -1 (sqrt -1)))
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(+ (log (/ -1 (sqrt -1))) (* x (+ (* 1/2 (* x (- (* -2 (* (sqrt -1) (- (* 3 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (pow (sqrt -1) 2))))) (/ 1 (sqrt -1)))))
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(+ (log -3/2) (+ (* -3 (log (/ -1 x))) (* -1 (/ (+ 3/4 (* 7/96 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -3/2) (+ (* -3 (log (/ -1 x))) (* 5/96 (/ 1 (pow x 6))))) (+ (/ 7/96 (pow x 4)) (* 3/4 (/ 1 (pow x 2)))))
(/ -1 (sqrt -1))
(- (* -1 (/ x (pow (sqrt -1) 2))) (/ 1 (sqrt -1)))
(- (* x (- (* x (- (* 3 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (pow (sqrt -1) 2)))) (/ 1 (sqrt -1)))
(- (* x (- (* x (- (+ (* 3 (/ 1 (sqrt -1))) (* x (- (* 1/2 (/ 1 (pow (sqrt -1) 4))) (* -1 (/ (- (* 3 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) (sqrt -1)))))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (pow (sqrt -1) 2)))) (/ 1 (sqrt -1)))
(* 6 (pow x 5))
(* (pow x 5) (- 6 (* 15/2 (/ 1 (pow x 2)))))
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(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
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(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(* -1 (sqrt -1))
(- x (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))))))) (sqrt -1))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))))) x)
(* 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
(+ 1 (* -3 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3 (pow x 2)) 3)))
(+ 1 (* (pow x 2) (- (* 3 (pow x 2)) 3)))
(* 3 (pow x 4))
(* (pow x 4) (- 3 (* 3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 3 (/ 1 (pow x 4))) (* 3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 3 (/ 1 (pow x 4))) (* 3 (/ 1 (pow x 2)))))
(* 3 (pow x 4))
(* (pow x 4) (- 3 (* 3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 3 (/ 1 (pow x 4))) (* 3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 3 (/ 1 (pow x 4))) (* 3 (/ 1 (pow x 2)))))

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

eval194.0ms (1.9%)

Compiler: Compiled 53814 to 3556 computations (93.4% saved)

prune170.0ms (1.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	1397	4	1401
Fresh	0	0	0
Picked	3	2	5
Done	0	1	1
Total	1400	7	1407

Accuracy

100.0%

Counts

1407 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	4.0%	(-.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -3 binary64) (.f64 (.f64 x x) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))))) (log.f64 (+.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)))))))
▶	99.5%	(log.f64 (-.f64 (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1/2 binary64) x)))
▶	99.4%	(log.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) x) x))
✓	99.5%	(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)))
▶	49.9%	(log.f64 (+.f64 (.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x x)))))
✓	50.4%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
✓	98.4%	(log.f64 (+.f64 x x))

Compiler

Compiled 137 to 83 computations (39.4% saved)

simplify232.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	192	(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -3 binary64) (.f64 (.f64 x x) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))))))
✓	cost-diff	256	(+.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)))))
✓	cost-diff	384	(log.f64 (+.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))))))
✓	cost-diff	576	(-.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -3 binary64) (.f64 (.f64 x x) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))))) (log.f64 (+.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)))))))
✓	cost-diff	0	(+.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 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))
✓	cost-diff	128	(-.f64 (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1/2 binary64) x))
✓	cost-diff	128	(log.f64 (-.f64 (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1/2 binary64) x)))
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) x)
✓	cost-diff	0	(+.f64 (/.f64 #s(literal -1/2 binary64) x) x)
✓	cost-diff	0	(+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) x) x)
✓	cost-diff	0	(log.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) x) x))
✓	cost-diff	0	(/.f64 (+.f64 (.f64 x (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) x)
✓	cost-diff	128	(.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) x))
✓	cost-diff	128	(+.f64 (.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x x))))
✓	cost-diff	128	(log.f64 (+.f64 (.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x x)))))

Rules

2558×	`+-lowering-+.f64`
2558×	`+-lowering-+.f32`
1806×	`-lowering-.f32`
1806×	`-lowering-.f64`
1642×	`fnmadd-define`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	49	442
1	129	408
2	341	403
3	1060	403
4	4232	398
5	6523	395
0	8065	395

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(log (+ (* 1 (/ (+ (* x (* x 2)) -1/2) x)) (/ -1/8 (* x (* x x)))))
(+ (* 1 (/ (+ (* x (* x 2)) -1/2) x)) (/ -1/8 (* x (* x x))))
(* 1 (/ (+ (* x (* x 2)) -1/2) x))
1
(/ (+ (* x (* x 2)) -1/2) x)
(+ (* x (* x 2)) -1/2)
(* x (* x 2))
x
(* x 2)
2
-1/2
(/ -1/8 (* x (* x x)))
-1/8
(* x (* x x))
(* x x)
(log (+ (+ (/ -1/2 x) x) x))
(+ (+ (/ -1/2 x) x) x)
(+ (/ -1/2 x) x)
(/ -1/2 x)
-1/2
x
(log (- (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) (/ 1/2 x)))
(- (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) (/ 1/2 x))
(* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x 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))
(/ 1/2 x)
1/2
(- (log (* (+ 1 (* x (* x (+ -3 (* (* x x) 3))))) (/ 1 (- x (pow (+ (* x x) -1) 1/2))))) (log (+ (* x (* x (* x x))) (* (+ (* x x) -1) (+ (* x x) (+ (* x x) -1))))))
(log (* (+ 1 (* x (* x (+ -3 (* (* x x) 3))))) (/ 1 (- x (pow (+ (* x x) -1) 1/2)))))
(* (+ 1 (* x (* x (+ -3 (* (* x x) 3))))) (/ 1 (- x (pow (+ (* x x) -1) 1/2))))
(+ 1 (* x (* x (+ -3 (* (* x x) 3)))))
1
(* x (* x (+ -3 (* (* x x) 3))))
x
(* x (+ -3 (* (* x x) 3)))
(+ -3 (* (* x x) 3))
-3
(* (* x x) 3)
(* x x)
3
(/ 1 (- x (pow (+ (* x x) -1) 1/2)))
(- x (pow (+ (* x x) -1) 1/2))
(pow (+ (* x x) -1) 1/2)
(+ (* x x) -1)
-1
1/2
(log (+ (* x (* x (* x x))) (* (+ (* x x) -1) (+ (* x x) (+ (* x x) -1)))))
(+ (* x (* x (* x x))) (* (+ (* x x) -1) (+ (* x x) (+ (* x x) -1))))
(* x (* x (* x x)))
(* x (* x x))
(* (+ (* x x) -1) (+ (* x x) (+ (* x x) -1)))
(+ (* x x) (+ (* x x) -1))

Outputs
(log (+ (* 1 (/ (+ (* x (* x 2)) -1/2) x)) (/ -1/8 (* x (* x x)))))
(log.f64 (+.f64 (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) x) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))))
(+ (* 1 (/ (+ (* x (* x 2)) -1/2) x)) (/ -1/8 (* x (* x x))))
(+.f64 (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) x) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))))
(* 1 (/ (+ (* x (* x 2)) -1/2) x))
(/.f64 (+.f64 (.f64 x (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) x)
1
#s(literal 1 binary64)
(/ (+ (* x (* x 2)) -1/2) x)
(/.f64 (+.f64 (.f64 x (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) x)
(+ (* x (* x 2)) -1/2)
(+.f64 (.f64 x (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))
(* x (* x 2))
(.f64 x (.f64 x #s(literal 2 binary64)))
x
(* x 2)
(*.f64 x #s(literal 2 binary64))
2
#s(literal 2 binary64)
-1/2
#s(literal -1/2 binary64)
(/ -1/8 (* x (* x x)))
(/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))
-1/8
#s(literal -1/8 binary64)
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
(log (+ (+ (/ -1/2 x) x) x))
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) x)))
(+ (+ (/ -1/2 x) x) x)
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) x))
(+ (/ -1/2 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
(log (- (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) (/ 1/2 x)))
(log.f64 (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.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 (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) (/ 1/2 x))
(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.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 (+ 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))))
x
(+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x 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
#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))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
1/2
#s(literal 1/2 binary64)
(- (log (* (+ 1 (* x (* x (+ -3 (* (* x x) 3))))) (/ 1 (- x (pow (+ (* x x) -1) 1/2))))) (log (+ (* x (* x (* x x))) (* (+ (* x x) -1) (+ (* x x) (+ (* x x) -1))))))
(-.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -3 binary64) (.f64 x (.f64 x #s(literal 3 binary64))))))) (-.f64 x (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)))))) (log1p.f64 (.f64 (.f64 x x) (+.f64 (+.f64 (.f64 x x) (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) #s(literal -1 binary64)))) #s(literal -1 binary64)))))
(log (* (+ 1 (* x (* x (+ -3 (* (* x x) 3))))) (/ 1 (- x (pow (+ (* x x) -1) 1/2)))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -3 binary64) (.f64 x (.f64 x #s(literal 3 binary64))))))) (-.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))))))
(* (+ 1 (* x (* x (+ -3 (* (* x x) 3))))) (/ 1 (- x (pow (+ (* x x) -1) 1/2))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -3 binary64) (.f64 x (.f64 x #s(literal 3 binary64))))))) (-.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))))
(+ 1 (* x (* x (+ -3 (* (* x x) 3)))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -3 binary64) (.f64 x (.f64 x #s(literal 3 binary64)))))))
1
#s(literal 1 binary64)
(* x (* x (+ -3 (* (* x x) 3))))
(.f64 x (.f64 x (+.f64 #s(literal -3 binary64) (.f64 x (.f64 x #s(literal 3 binary64))))))
x
(* x (+ -3 (* (* x x) 3)))
(.f64 x (+.f64 #s(literal -3 binary64) (.f64 x (*.f64 x #s(literal 3 binary64)))))
(+ -3 (* (* x x) 3))
(+.f64 #s(literal -3 binary64) (.f64 x (.f64 x #s(literal 3 binary64))))
-3
#s(literal -3 binary64)
(* (* x x) 3)
(.f64 x (.f64 x #s(literal 3 binary64)))
(* x x)
(*.f64 x x)
3
#s(literal 3 binary64)
(/ 1 (- x (pow (+ (* x x) -1) 1/2)))
(/.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))))
(- x (pow (+ (* x x) -1) 1/2))
(-.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))))
(pow (+ (* x x) -1) 1/2)
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))
(+ (* x x) -1)
(+.f64 (*.f64 x x) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
1/2
#s(literal 1/2 binary64)
(log (+ (* x (* x (* x x))) (* (+ (* x x) -1) (+ (* x x) (+ (* x x) -1)))))
(log1p.f64 (.f64 (.f64 x x) (+.f64 (+.f64 (.f64 x x) (.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64)))) #s(literal -1 binary64))))
(+ (* x (* x (* x x))) (* (+ (* x x) -1) (+ (* x x) (+ (* x x) -1))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (+.f64 (.f64 x x) (.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64)))) #s(literal -1 binary64))))
(* x (* x (* x x)))
(.f64 x (.f64 x (*.f64 x x)))
(* x (* x x))
(.f64 x (.f64 x x))
(* (+ (* x x) -1) (+ (* x x) (+ (* x x) -1)))
(.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(+ (* x x) (+ (* x x) -1))
(+.f64 (.f64 x (.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))

localize579.0ms (5.6%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	52.4%	(pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))
✓	accuracy	28.9%	(log.f64 (+.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))))))
✓	accuracy	25.8%	(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -3 binary64) (.f64 (.f64 x x) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))))))
✓	accuracy	8.4%	(-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.4%	(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
✓	accuracy	99.3%	(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
✓	accuracy	100.0%	(/.f64 #s(literal -1/2 binary64) x)
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal -1/2 binary64) x) x)
✓	accuracy	100.0%	(log.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) x) x))
✓	accuracy	100.0%	(+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) x) x)
✓	accuracy	100.0%	(+.f64 (.f64 x (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.4%	(/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))
✓	accuracy	52.4%	(/.f64 (+.f64 (.f64 x (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) x)

Results

242.0ms	175×	1	valid
190.0ms	69×	2	valid
6.0ms	12×	0	valid

Compiler

Compiled 525 to 50 computations (90.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 326.0ms

ival-pow: 96.0ms (29.4% of total)

ival-mult: 53.0ms (16.2% of total)

ival-log: 44.0ms (13.5% of total)

ival-div: 42.0ms (12.9% of total)

ival-add: 41.0ms (12.6% of total)

backward-pass: 37.0ms (11.3% of total)

ival-sub: 10.0ms (3.1% of total)

const: 3.0ms (0.9% of total)

series9.0ms (0.1%)

Counts

24 → 288

Calls

Call 1

Inputs
#<alt (log (+ (* 1 (/ (+ (* x (* x 2)) -1/2) x)) (/ -1/8 (* x (* x x)))))>
#<alt (+ (* 1 (/ (+ (* x (* x 2)) -1/2) x)) (/ -1/8 (* x (* x x))))>
#<alt (* 1 (/ (+ (* x (* x 2)) -1/2) x))>
#<alt (/ (+ (* x (* x 2)) -1/2) x)>
#<alt (log (+ (+ (/ -1/2 x) x) x))>
#<alt (+ (+ (/ -1/2 x) x) x)>
#<alt (+ (/ -1/2 x) x)>
#<alt (/ -1/2 x)>
#<alt (log (- (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) (/ 1/2 x)))>
#<alt (- (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) (/ 1/2 x))>
#<alt (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))>
#<alt (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))>
#<alt (- (log (* (+ 1 (* x (* x (+ -3 (* (* x x) 3))))) (/ 1 (- x (pow (+ (* x x) -1) 1/2))))) (log (+ (* x (* x (* x x))) (* (+ (* x x) -1) (+ (* x x) (+ (* x x) -1))))))>
#<alt (log (+ (* x (* x (* x x))) (* (+ (* x x) -1) (+ (* x x) (+ (* x x) -1)))))>
#<alt (+ (* x (* x (* x x))) (* (+ (* x x) -1) (+ (* x x) (+ (* x x) -1))))>
#<alt (log (* (+ 1 (* x (* x (+ -3 (* (* x x) 3))))) (/ 1 (- x (pow (+ (* x x) -1) 1/2)))))>
#<alt (/ -1/8 (* x (* x x)))>
#<alt (* x (* x x))>
#<alt (+ (* x (* x 2)) -1/2)>
#<alt (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))>
#<alt (/ -1/16 (* x x))>
#<alt (* x (* x (* x x)))>
#<alt (- x (pow (+ (* x x) -1) 1/2))>
#<alt (pow (+ (* x x) -1) 1/2)>

Outputs
#<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 (/ -1/2 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 (/ (- (* 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 (+ (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 -1/16) (* -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 (sqrt -1)))>
#<alt (+ (log (/ -1 (sqrt -1))) (/ x (sqrt -1)))>
#<alt (+ (log (/ -1 (sqrt -1))) (* x (+ (* x (+ 3 (* 1/2 (- (* -2 (* (sqrt -1) (- (* 3 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (pow (sqrt -1) 2)))))) (/ 1 (sqrt -1)))))>
#<alt (+ (log (/ -1 (sqrt -1))) (* x (+ (* x (+ 3 (+ (* 1/6 (* x (+ (* -6 (* (sqrt -1) (- (* 1/2 (/ 1 (pow (sqrt -1) 4))) (* -1 (/ (- (* 3 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) (sqrt -1)))))) (+ (* 2 (/ 1 (pow (sqrt -1) 3))) (* 6 (- (* 3 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))))))) (* 1/2 (- (* -2 (* (sqrt -1) (- (* 3 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (pow (sqrt -1) 2))))))) (/ 1 (sqrt -1)))))>
#<alt (- (+ (log 6) (* -5 (log (/ 1 x)))) (+ (log 3) (* -4 (log (/ 1 x)))))>
#<alt (- (+ (log 6) (* -5 (log (/ 1 x)))) (+ (log 3) (+ (* -4 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (- (+ (log 6) (+ (* -5 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) (+ (log 3) (* -4 (log (/ 1 x)))))>
#<alt (- (+ (log 6) (+ (* -5 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (+ (log 3) (+ (* -4 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (- (+ (log -3/2) (* -3 (log (/ -1 x)))) (+ (log 3) (* -4 (log (/ -1 x)))))>
#<alt (- (+ (log -3/2) (+ (* -3 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (+ (log 3) (* -4 (log (/ -1 x)))))>
#<alt (- (+ (log -3/2) (+ (* -3 (log (/ -1 x))) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) (+ (log 3) (* -4 (log (/ -1 x)))))>
#<alt (- (+ (log -3/2) (+ (* -3 (log (/ -1 x))) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) (+ (log 3) (* -4 (log (/ -1 x)))))>
#<alt (* -3 (pow x 2))>
#<alt (* (pow x 2) (- (* -3/2 (pow x 2)) 3))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* 9/4 (pow x 4)) 3/2)) 3))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* (pow x 4) (+ 9/4 (* 27/5 (pow x 2)))) 3/2)) 3))>
#<alt (+ (log 3) (* -4 (log (/ 1 x))))>
#<alt (- (+ (log 3) (* -4 (log (/ 1 x)))) (/ 1 (pow x 2)))>
#<alt (+ (log 3) (+ (* -4 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/6 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 3) (+ (* -4 (log (/ 1 x))) (* 1/36 (/ 1 (pow x 8))))) (+ (/ 1/6 (pow x 4)) (/ 1 (pow x 2))))>
#<alt (+ (log 3) (* -4 (log (/ -1 x))))>
#<alt (- (+ (log 3) (* -4 (log (/ -1 x)))) (/ 1 (pow x 2)))>
#<alt (+ (log 3) (+ (* -4 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/6 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 3) (+ (* -4 (log (/ -1 x))) (* 1/36 (/ 1 (pow x 8))))) (+ (/ 1/6 (pow x 4)) (/ 1 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* -3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 3 (pow x 2)) 3)))>
#<alt (+ 1 (* (pow x 2) (- (* 3 (pow x 2)) 3)))>
#<alt (* 3 (pow x 4))>
#<alt (* (pow x 4) (- 3 (* 3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 3 (/ 1 (pow x 4))) (* 3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 3 (/ 1 (pow x 4))) (* 3 (/ 1 (pow x 2)))))>
#<alt (* 3 (pow x 4))>
#<alt (* (pow x 4) (- 3 (* 3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 3 (/ 1 (pow x 4))) (* 3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 3 (/ 1 (pow x 4))) (* 3 (/ 1 (pow x 2)))))>
#<alt (log (/ -1 (sqrt -1)))>
#<alt (+ (log (/ -1 (sqrt -1))) (/ x (sqrt -1)))>
#<alt (+ (log (/ -1 (sqrt -1))) (* x (+ (* 1/2 (* x (- (* -2 (* (sqrt -1) (- (* 3 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (pow (sqrt -1) 2))))) (/ 1 (sqrt -1)))))>
#<alt (+ (log (/ -1 (sqrt -1))) (* x (+ (* x (+ (* 1/6 (* x (+ (* -6 (* (sqrt -1) (- (* 1/2 (/ 1 (pow (sqrt -1) 4))) (* -1 (/ (- (* 3 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) (sqrt -1)))))) (+ (* 2 (/ 1 (pow (sqrt -1) 3))) (* 6 (- (* 3 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))))))) (* 1/2 (- (* -2 (* (sqrt -1) (- (* 3 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (pow (sqrt -1) 2)))))) (/ 1 (sqrt -1)))))>
#<alt (+ (log 6) (* -5 (log (/ 1 x))))>
#<alt (- (+ (log 6) (* -5 (log (/ 1 x)))) (* 5/4 (/ 1 (pow x 2))))>
#<alt (+ (log 6) (+ (* -5 (log (/ 1 x))) (* -1 (/ (+ 5/4 (* 25/96 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 6) (+ (* -5 (log (/ 1 x))) (* -1 (/ (+ 25/96 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 5/4 (/ 1 (pow x 2))))>
#<alt (+ (log -3/2) (* -3 (log (/ -1 x))))>
#<alt (- (+ (log -3/2) (* -3 (log (/ -1 x)))) (* 3/4 (/ 1 (pow x 2))))>
#<alt (+ (log -3/2) (+ (* -3 (log (/ -1 x))) (* -1 (/ (+ 3/4 (* 7/96 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -3/2) (+ (* -3 (log (/ -1 x))) (* 5/96 (/ 1 (pow x 6))))) (+ (/ 7/96 (pow x 4)) (* 3/4 (/ 1 (pow x 2)))))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ -1/8 (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 3)>
#<alt -1/2>
#<alt (- (* 2 (pow x 2)) 1/2)>
#<alt (- (* 2 (pow x 2)) 1/2)>
#<alt (- (* 2 (pow x 2)) 1/2)>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2 (* 1/2 (/ 1 (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 (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (pow x 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 (sqrt -1))>
#<alt (- x (sqrt -1))>
#<alt (- (* x (+ 1 (* -1/2 (/ x (sqrt -1))))) (sqrt -1))>
#<alt (- (* x (+ 1 (* x (- (* 1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))) (sqrt -1))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x)>
#<alt (/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))))) x)>
#<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 (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))))))>

Calls

72 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(- (log (* (+ 1 (* x (* x (+ -3 (* (* x x) 3))))) (/ 1 (- x (pow (+ (* x x) -1) 1/2))))) (log (+ (* x (* x (* x x))) (* (+ (* x x) -1) (+ (* x x) (+ (* x x) -1))))))
0.0ms	x	@	inf	(log (+ (* 1 (/ (+ (* x (* x 2)) -1/2) x)) (/ -1/8 (* x (* x x)))))
0.0ms	x	@	0	(log (+ (* 1 (/ (+ (* x (* x 2)) -1/2) x)) (/ -1/8 (* x (* x x)))))
0.0ms	x	@	-inf	(- (log (* (+ 1 (* x (* x (+ -3 (* (* x x) 3))))) (/ 1 (- x (pow (+ (* x x) -1) 1/2))))) (log (+ (* x (* x (* x x))) (* (+ (* x x) -1) (+ (* x x) (+ (* x x) -1))))))
0.0ms	x	@	-inf	(log (+ (* 1 (/ (+ (* x (* x 2)) -1/2) x)) (/ -1/8 (* x (* x x)))))

rewrite368.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3378×	`-lowering-.f32`
3378×	`-lowering-.f64`
1668×	`/-lowering-/.f32`
1668×	`/-lowering-/.f64`
1624×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	49	285
1	358	256
2	3827	252
0	8172	252

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 540

Calls

Call 1

Inputs
(log (+ (* 1 (/ (+ (* x (* x 2)) -1/2) x)) (/ -1/8 (* x (* x x)))))
(+ (* 1 (/ (+ (* x (* x 2)) -1/2) x)) (/ -1/8 (* x (* x x))))
(* 1 (/ (+ (* x (* x 2)) -1/2) x))
(/ (+ (* x (* x 2)) -1/2) x)
(log (+ (+ (/ -1/2 x) x) x))
(+ (+ (/ -1/2 x) x) x)
(+ (/ -1/2 x) x)
(/ -1/2 x)
(log (- (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) (/ 1/2 x)))
(- (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) (/ 1/2 x))
(* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))
(+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))
(- (log (* (+ 1 (* x (* x (+ -3 (* (* x x) 3))))) (/ 1 (- x (pow (+ (* x x) -1) 1/2))))) (log (+ (* x (* x (* x x))) (* (+ (* x x) -1) (+ (* x x) (+ (* x x) -1))))))
(log (+ (* x (* x (* x x))) (* (+ (* x x) -1) (+ (* x x) (+ (* x x) -1)))))
(+ (* x (* x (* x x))) (* (+ (* x x) -1) (+ (* x x) (+ (* x x) -1))))
(log (* (+ 1 (* x (* x (+ -3 (* (* x x) 3))))) (/ 1 (- x (pow (+ (* x x) -1) 1/2)))))
(/ -1/8 (* x (* x x)))
(* x (* x x))
(+ (* x (* x 2)) -1/2)
(/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))
(/ -1/16 (* x x))
(* x (* x (* x x)))
(- x (pow (+ (* x x) -1) 1/2))
(pow (+ (* x x) -1) 1/2)

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

simplify325.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

4318×	`+-lowering-+.f64`
4318×	`+-lowering-+.f32`
3268×	`-lowering-.f32`
3268×	`-lowering-.f64`
1436×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	459	3134
1	1386	2943
2	4675	2853
0	8728	2853

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

Inputs
(+ (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)))
(/ -1/2 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)
(/ (- (* 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)))
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (+ (* -4 (pow x 2)) (* -1 (log x))))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/2 x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(/ -1/2 x)
(/ (- (pow x 2) 1/2) x)
(/ (- (pow x 2) 1/2) x)
(/ (- (pow x 2) 1/2) x)
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
x
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(+ (log -1/16) (* -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)
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(* -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
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(+ 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))))
(log (/ -1 (sqrt -1)))
(+ (log (/ -1 (sqrt -1))) (/ x (sqrt -1)))
(+ (log (/ -1 (sqrt -1))) (* x (+ (* x (+ 3 (* 1/2 (- (* -2 (* (sqrt -1) (- (* 3 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (pow (sqrt -1) 2)))))) (/ 1 (sqrt -1)))))
(+ (log (/ -1 (sqrt -1))) (* x (+ (* x (+ 3 (+ (* 1/6 (* x (+ (* -6 (* (sqrt -1) (- (* 1/2 (/ 1 (pow (sqrt -1) 4))) (* -1 (/ (- (* 3 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) (sqrt -1)))))) (+ (* 2 (/ 1 (pow (sqrt -1) 3))) (* 6 (- (* 3 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))))))) (* 1/2 (- (* -2 (* (sqrt -1) (- (* 3 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (pow (sqrt -1) 2))))))) (/ 1 (sqrt -1)))))
(- (+ (log 6) (* -5 (log (/ 1 x)))) (+ (log 3) (* -4 (log (/ 1 x)))))
(- (+ (log 6) (* -5 (log (/ 1 x)))) (+ (log 3) (+ (* -4 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))))
(- (+ (log 6) (+ (* -5 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) (+ (log 3) (* -4 (log (/ 1 x)))))
(- (+ (log 6) (+ (* -5 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (+ (log 3) (+ (* -4 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))))
(- (+ (log -3/2) (* -3 (log (/ -1 x)))) (+ (log 3) (* -4 (log (/ -1 x)))))
(- (+ (log -3/2) (+ (* -3 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (+ (log 3) (* -4 (log (/ -1 x)))))
(- (+ (log -3/2) (+ (* -3 (log (/ -1 x))) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) (+ (log 3) (* -4 (log (/ -1 x)))))
(- (+ (log -3/2) (+ (* -3 (log (/ -1 x))) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) (+ (log 3) (* -4 (log (/ -1 x)))))
(* -3 (pow x 2))
(* (pow x 2) (- (* -3/2 (pow x 2)) 3))
(* (pow x 2) (- (* (pow x 2) (- (* 9/4 (pow x 4)) 3/2)) 3))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 4) (+ 9/4 (* 27/5 (pow x 2)))) 3/2)) 3))
(+ (log 3) (* -4 (log (/ 1 x))))
(- (+ (log 3) (* -4 (log (/ 1 x)))) (/ 1 (pow x 2)))
(+ (log 3) (+ (* -4 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/6 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 3) (+ (* -4 (log (/ 1 x))) (* 1/36 (/ 1 (pow x 8))))) (+ (/ 1/6 (pow x 4)) (/ 1 (pow x 2))))
(+ (log 3) (* -4 (log (/ -1 x))))
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(+ (log 3) (+ (* -4 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/6 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 3) (+ (* -4 (log (/ -1 x))) (* 1/36 (/ 1 (pow x 8))))) (+ (/ 1/6 (pow x 4)) (/ 1 (pow x 2))))
1
(+ 1 (* -3 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3 (pow x 2)) 3)))
(+ 1 (* (pow x 2) (- (* 3 (pow x 2)) 3)))
(* 3 (pow x 4))
(* (pow x 4) (- 3 (* 3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 3 (/ 1 (pow x 4))) (* 3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 3 (/ 1 (pow x 4))) (* 3 (/ 1 (pow x 2)))))
(* 3 (pow x 4))
(* (pow x 4) (- 3 (* 3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 3 (/ 1 (pow x 4))) (* 3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 3 (/ 1 (pow x 4))) (* 3 (/ 1 (pow x 2)))))
(log (/ -1 (sqrt -1)))
(+ (log (/ -1 (sqrt -1))) (/ x (sqrt -1)))
(+ (log (/ -1 (sqrt -1))) (* x (+ (* 1/2 (* x (- (* -2 (* (sqrt -1) (- (* 3 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (pow (sqrt -1) 2))))) (/ 1 (sqrt -1)))))
(+ (log (/ -1 (sqrt -1))) (* x (+ (* x (+ (* 1/6 (* x (+ (* -6 (* (sqrt -1) (- (* 1/2 (/ 1 (pow (sqrt -1) 4))) (* -1 (/ (- (* 3 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) (sqrt -1)))))) (+ (* 2 (/ 1 (pow (sqrt -1) 3))) (* 6 (- (* 3 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))))))) (* 1/2 (- (* -2 (* (sqrt -1) (- (* 3 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (pow (sqrt -1) 2)))))) (/ 1 (sqrt -1)))))
(+ (log 6) (* -5 (log (/ 1 x))))
(- (+ (log 6) (* -5 (log (/ 1 x)))) (* 5/4 (/ 1 (pow x 2))))
(+ (log 6) (+ (* -5 (log (/ 1 x))) (* -1 (/ (+ 5/4 (* 25/96 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 6) (+ (* -5 (log (/ 1 x))) (* -1 (/ (+ 25/96 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 5/4 (/ 1 (pow x 2))))
(+ (log -3/2) (* -3 (log (/ -1 x))))
(- (+ (log -3/2) (* -3 (log (/ -1 x)))) (* 3/4 (/ 1 (pow x 2))))
(+ (log -3/2) (+ (* -3 (log (/ -1 x))) (* -1 (/ (+ 3/4 (* 7/96 (/ 1 (pow x 2)))) (pow x 2)))))
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(/ -1/8 (pow x 3))
(/ -1/8 (pow x 3))
(/ -1/8 (pow x 3))
(/ -1/8 (pow x 3))
(/ -1/8 (pow x 3))
(/ -1/8 (pow x 3))
(/ -1/8 (pow x 3))
(/ -1/8 (pow x 3))
(/ -1/8 (pow x 3))
(/ -1/8 (pow x 3))
(/ -1/8 (pow x 3))
(/ -1/8 (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 3)
-1/2
(- (* 2 (pow x 2)) 1/2)
(- (* 2 (pow x 2)) 1/2)
(- (* 2 (pow x 2)) 1/2)
(* 2 (pow x 2))
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(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
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(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
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(/ -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)))
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(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(pow x 4)
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(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
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(pow x 4)
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(* -1 (sqrt -1))
(- x (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))))))) (sqrt -1))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))))) x)
(* 2 x)
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(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(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))))))
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(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))

Outputs
(+ (log -1/8) (* -3 (log x)))
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(+ (log -1/8) (+ (* -3 (log x)) (* 4 (pow x 2))))
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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 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
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(/ -1/8 (pow x 3))
(/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))
(/.f64 (-.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x)) (.f64 x x))
(/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))
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(* 2 x)
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(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
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(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
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(* 2 x)
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(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
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(/ -1/2 x)
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(/ (- (* 2 (pow x 2)) 1/2) x)
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) x))
(/ (- (* 2 (pow x 2)) 1/2) x)
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(/ (- (* 2 (pow x 2)) 1/2) x)
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) x))
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(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
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(/ -1/2 x)
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(/ (- (* 2 (pow x 2)) 1/2) x)
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) x))
(/ (- (* 2 (pow x 2)) 1/2) x)
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) x))
(/ (- (* 2 (pow x 2)) 1/2) x)
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) x))
(* 2 x)
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(* 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)))
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(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* 2 x)
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(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)))
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(+ (log -1/2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(+ (log -1/2) (+ (* -4 (pow x 2)) (* -1 (log x))))
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(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(* -1 (sqrt -1))
(-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))
(- x (sqrt -1))
(-.f64 x (sqrt.f64 #s(literal -1 binary64)))
(- (* x (+ 1 (* -1/2 (/ x (sqrt -1))))) (sqrt -1))
(-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal -1 binary64)))
(- (* x (+ 1 (* x (- (* 1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))) (sqrt -1))
(-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))))))) (sqrt.f64 #s(literal -1 binary64)))
(/ 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)
(/ (+ 1/2 (+ (/ 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 (.f64 x x) (.f64 x x))))) x)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1/2 binary64))) x)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (.f64 x (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) 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 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 x x) (/.f64 #s(literal 1/8 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 (.f64 x 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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) x)))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))))) (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 #s(literal 0 binary64) (+.f64 x (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(-.f64 (-.f64 #s(literal 0 binary64) x) (.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 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 #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 (.f64 x x) (.f64 x x))))) (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))))

eval163.0ms (1.6%)

Compiler: Compiled 35848 to 3123 computations (91.3% saved)

prune93.0ms (0.9%)

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	884	5	889
Fresh	0	0	0
Picked	2	2	4
Done	0	3	3
Total	886	10	896

Accuracy

100.0%

Counts

896 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	4.0%	(-.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -3 binary64) (.f64 (.f64 x x) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))))) (log.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -3 binary64) (.f64 (.f64 x x) #s(literal 3 binary64))))))))
▶	50.0%	(neg.f64 (log.f64 (/.f64 (+.f64 (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 1/2 binary64) x)) (-.f64 (.f64 x (.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))))))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))))
▶	99.5%	(log.f64 (-.f64 (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))) #s(literal 2 binary64)))) (+.f64 #s(literal 8 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x)))))))))) (/.f64 #s(literal 1/2 binary64) x)))
✓	99.5%	(log.f64 (-.f64 (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1/2 binary64) x)))
✓	99.4%	(log.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) x) x))
▶	99.5%	(log.f64 (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x x)))))
✓	99.5%	(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)))
✓	50.4%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
✓	98.4%	(log.f64 (+.f64 x x))
▶	50.0%	(log.f64 (.f64 (-.f64 (.f64 x (.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))))))) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 1/2 binary64) x)))))

Compiler

Compiled 662 to 249 computations (62.4% saved)

simplify271.0ms (2.6%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(log.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -3 binary64) (.f64 (.f64 x x) #s(literal 3 binary64)))))))
✓	cost-diff	128	(.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -3 binary64) (.f64 (.f64 x x) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
✓	cost-diff	128	(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -3 binary64) (.f64 (.f64 x x) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))))))
✓	cost-diff	256	(-.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -3 binary64) (.f64 (.f64 x x) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))))) (log.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -3 binary64) (.f64 (.f64 x x) #s(literal 3 binary64))))))))
✓	cost-diff	256	(.f64 x (.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))))))
✓	cost-diff	256	(-.f64 (.f64 x (.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))))))) (/.f64 #s(literal 1/4 binary64) (.f64 x x)))
✓	cost-diff	512	(.f64 (-.f64 (.f64 x (.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))))))) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 1/2 binary64) x))))
✓	cost-diff	512	(log.f64 (.f64 (-.f64 (.f64 x (.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))))))) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 1/2 binary64) x)))))
✓	cost-diff	256	(-.f64 (.f64 x (.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))))))) (/.f64 #s(literal 1/4 binary64) (.f64 x x)))
✓	cost-diff	320	(neg.f64 (log.f64 (/.f64 (+.f64 (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 1/2 binary64) x)) (-.f64 (.f64 x (.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))))))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))))
✓	cost-diff	384	(/.f64 (+.f64 (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 1/2 binary64) x)) (-.f64 (.f64 x (.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))))))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
✓	cost-diff	384	(log.f64 (/.f64 (+.f64 (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 1/2 binary64) x)) (-.f64 (.f64 x (.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))))))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
✓	cost-diff	0	(*.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) x))
✓	cost-diff	0	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x x))))
✓	cost-diff	0	(log.f64 (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x x)))))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))) #s(literal 2 binary64)))) (+.f64 #s(literal 8 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x)))))))))
✓	cost-diff	128	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))) #s(literal 2 binary64)))) (+.f64 #s(literal 8 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))))))))))
✓	cost-diff	128	(-.f64 (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))) #s(literal 2 binary64)))) (+.f64 #s(literal 8 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x)))))))))) (/.f64 #s(literal 1/2 binary64) x))
✓	cost-diff	128	(log.f64 (-.f64 (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))) #s(literal 2 binary64)))) (+.f64 #s(literal 8 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x)))))))))) (/.f64 #s(literal 1/2 binary64) x)))

Rules

3344×	`+-lowering-+.f64`
3344×	`+-lowering-+.f32`
3192×	`-lowering-.f32`
3192×	`-lowering-.f64`
1864×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	1605
1	168	1416
2	495	1261
3	2246	1239
4	5922	1239
0	8576	1239

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(log (- (* x (/ 1 (/ (+ 4 (* (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (- (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) 2))) (+ 8 (* (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (/ (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (/ (* (* x x) (* x x)) (+ -1/8 (/ -1/16 (* x x)))))))))) (/ 1/2 x)))
(- (* x (/ 1 (/ (+ 4 (* (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (- (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) 2))) (+ 8 (* (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (/ (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (/ (* (* x x) (* x x)) (+ -1/8 (/ -1/16 (* x x)))))))))) (/ 1/2 x))
(* x (/ 1 (/ (+ 4 (* (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (- (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) 2))) (+ 8 (* (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (/ (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (/ (* (* x x) (* x x)) (+ -1/8 (/ -1/16 (* x x))))))))))
x
(/ 1 (/ (+ 4 (* (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (- (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) 2))) (+ 8 (* (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (/ (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (/ (* (* x x) (* x x)) (+ -1/8 (/ -1/16 (* x x)))))))))
1
(/ (+ 4 (* (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (- (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) 2))) (+ 8 (* (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (/ (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (/ (* (* x x) (* x x)) (+ -1/8 (/ -1/16 (* x x))))))))
(+ 4 (* (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (- (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) 2)))
4
(* (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x 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))
(- (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) 2)
2
(+ 8 (* (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (/ (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (/ (* (* x x) (* x x)) (+ -1/8 (/ -1/16 (* x x)))))))
8
(* (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (/ (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (/ (* (* x x) (* x x)) (+ -1/8 (/ -1/16 (* x x))))))
(/ (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (/ (* (* x x) (* x x)) (+ -1/8 (/ -1/16 (* x x)))))
(/ (* (* x x) (* x x)) (+ -1/8 (/ -1/16 (* x x))))
(/ 1/2 x)
1/2
(log (+ (+ (* x 2) (/ -1/2 x)) (/ -1/8 (* x (* x x)))))
(+ (+ (* x 2) (/ -1/2 x)) (/ -1/8 (* x (* x x))))
(+ (* x 2) (/ -1/2 x))
(* x 2)
x
2
(/ -1/2 x)
-1/2
(/ -1/8 (* x (* x x)))
-1/8
(* x (* x x))
(* x x)
(neg (log (/ (+ (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))) (/ 1/2 x)) (- (* x (* (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x)))) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))))) (/ 1/4 (* x x))))))
(log (/ (+ (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))) (/ 1/2 x)) (- (* x (* (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x)))) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))))) (/ 1/4 (* x x)))))
(/ (+ (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))) (/ 1/2 x)) (- (* x (* (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x)))) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))))) (/ 1/4 (* x x))))
(+ (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))) (/ 1/2 x))
(* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x)))))
x
(+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))
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))
(/ 1/2 x)
1/2
(- (* x (* (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x)))) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))))) (/ 1/4 (* x 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)))))))
(* (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x)))) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))))
(/ 1/4 (* x x))
1/4
(log (* (- (* x (* (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x)))) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))))) (/ 1/4 (* x x))) (/ 1 (+ (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))) (/ 1/2 x)))))
(* (- (* x (* (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x)))) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))))) (/ 1/4 (* x x))) (/ 1 (+ (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))) (/ 1/2 x))))
(- (* x (* (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x)))) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))))) (/ 1/4 (* x 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)))))))
x
(* (+ 2 (/ (+ -1/8 (/ -1/16 (* x 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))))
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 (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x)))))
(/ 1/4 (* x x))
1/4
(/ 1 (+ (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))) (/ 1/2 x)))
1
(+ (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))) (/ 1/2 x))
(/ 1/2 x)
1/2
(- (log (* (+ 1 (* x (* x (+ -3 (* (* x x) 3))))) (/ 1 (- x (pow (+ (* x x) -1) 1/2))))) (log (+ 1 (* x (* x (+ -3 (* (* x x) 3)))))))
(log (* (+ 1 (* x (* x (+ -3 (* (* x x) 3))))) (/ 1 (- x (pow (+ (* x x) -1) 1/2)))))
(* (+ 1 (* x (* x (+ -3 (* (* x x) 3))))) (/ 1 (- x (pow (+ (* x x) -1) 1/2))))
(+ 1 (* x (* x (+ -3 (* (* x x) 3)))))
1
(* x (* x (+ -3 (* (* x x) 3))))
x
(* x (+ -3 (* (* x x) 3)))
(+ -3 (* (* x x) 3))
-3
(* (* x x) 3)
(* x x)
3
(/ 1 (- x (pow (+ (* x x) -1) 1/2)))
(- x (pow (+ (* x x) -1) 1/2))
(pow (+ (* x x) -1) 1/2)
(+ (* x x) -1)
-1
1/2
(log (+ 1 (* x (* x (+ -3 (* (* x x) 3))))))

Outputs
(log (- (* x (/ 1 (/ (+ 4 (* (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (- (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) 2))) (+ 8 (* (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (/ (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (/ (* (* x x) (* x x)) (+ -1/8 (/ -1/16 (* x x)))))))))) (/ 1/2 x)))
(log.f64 (+.f64 (/.f64 (.f64 x (+.f64 #s(literal 8 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 (/.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 (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x)))))))) (+.f64 #s(literal 4 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 (/.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)))
(- (* x (/ 1 (/ (+ 4 (* (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (- (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) 2))) (+ 8 (* (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (/ (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (/ (* (* x x) (* x x)) (+ -1/8 (/ -1/16 (* x x)))))))))) (/ 1/2 x))
(+.f64 (/.f64 (.f64 x (+.f64 #s(literal 8 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 (/.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 (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x)))))))) (+.f64 #s(literal 4 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 (/.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))
(* x (/ 1 (/ (+ 4 (* (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (- (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) 2))) (+ 8 (* (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (/ (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (/ (* (* x x) (* x x)) (+ -1/8 (/ -1/16 (* x x))))))))))
(/.f64 (.f64 x (+.f64 #s(literal 8 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 (/.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 (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x)))))))) (+.f64 #s(literal 4 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 (/.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
(/ 1 (/ (+ 4 (* (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (- (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) 2))) (+ 8 (* (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (/ (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (/ (* (* x x) (* x x)) (+ -1/8 (/ -1/16 (* x x)))))))))
(/.f64 (+.f64 #s(literal 8 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 (/.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 (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))))))) (+.f64 #s(literal 4 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 (/.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
#s(literal 1 binary64)
(/ (+ 4 (* (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (- (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) 2))) (+ 8 (* (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (/ (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (/ (* (* x x) (* x x)) (+ -1/8 (/ -1/16 (* x x))))))))
(/.f64 (+.f64 #s(literal 4 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 (/.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 8 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 (/.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 (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))))))))
(+ 4 (* (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (- (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) 2)))
(+.f64 #s(literal 4 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 (/.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))))
4
#s(literal 4 binary64)
(* (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x 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 (.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 -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)))
(- (/ (+ -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))
2
#s(literal 2 binary64)
(+ 8 (* (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (/ (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (/ (* (* x x) (* x x)) (+ -1/8 (/ -1/16 (* x x)))))))
(+.f64 #s(literal 8 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 (/.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 (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x)))))))
8
#s(literal 8 binary64)
(* (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (/ (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (/ (* (* x x) (* x x)) (+ -1/8 (/ -1/16 (* 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)))) (.f64 (/.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 (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))))))
(/ (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x 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 x) (.f64 (.f64 x (.f64 x 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)) (+ -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))))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
1/2
#s(literal 1/2 binary64)
(log (+ (+ (* x 2) (/ -1/2 x)) (/ -1/8 (* x (* x x)))))
(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (/.f64 #s(literal -1/8 binary64) x) (.f64 x x)))))
(+ (+ (* x 2) (/ -1/2 x)) (/ -1/8 (* x (* x x))))
(+.f64 (.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (/.f64 #s(literal -1/8 binary64) x) (.f64 x x))))
(+ (* x 2) (/ -1/2 x))
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) x))
(* x 2)
(*.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
-1/2
#s(literal -1/2 binary64)
(/ -1/8 (* x (* x x)))
(/.f64 (/.f64 #s(literal -1/8 binary64) x) (*.f64 x x))
-1/8
#s(literal -1/8 binary64)
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
(neg (log (/ (+ (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))) (/ 1/2 x)) (- (* x (* (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x)))) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))))) (/ 1/4 (* x x))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) 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))))) (+.f64 (.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 x)) (.f64 x (.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal -1/4 binary64) (.f64 x x))))))
(log (/ (+ (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))) (/ 1/2 x)) (- (* x (* (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x)))) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))))) (/ 1/4 (* x x)))))
(log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) 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))))) (+.f64 (.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 x)) (.f64 x (.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal -1/4 binary64) (.f64 x x)))))
(/ (+ (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))) (/ 1/2 x)) (- (* x (* (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x)))) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))))) (/ 1/4 (* x x))))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) 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))))) (+.f64 (.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 x)) (.f64 x (.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal -1/4 binary64) (.f64 x x))))
(+ (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))) (/ 1/2 x))
(+.f64 (/.f64 #s(literal 1/2 binary64) 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)))))
(* 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))))
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)))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
1/2
#s(literal 1/2 binary64)
(- (* x (* (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x)))) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))))) (/ 1/4 (* 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 (.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 x)) (.f64 x (.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal -1/4 binary64) (.f64 x 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)))))))
(.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 x)) (.f64 x (*.f64 x #s(literal 2 binary64)))))
(* (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x)))) (* x (+ 2 (/ (+ -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 (.f64 x x)))) #s(literal 2 binary64)) (+.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)))))
(/ 1/4 (* x x))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
1/4
#s(literal 1/4 binary64)
(log (* (- (* x (* (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x)))) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))))) (/ 1/4 (* x x))) (/ 1 (+ (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))) (/ 1/2 x)))))
(log.f64 (/.f64 (+.f64 (.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 x)) (.f64 x (.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) 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)))))))
(* (- (* x (* (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x)))) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))))) (/ 1/4 (* x x))) (/ 1 (+ (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))) (/ 1/2 x))))
(/.f64 (+.f64 (.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 x)) (.f64 x (.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) 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))))))
(- (* x (* (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x)))) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))))) (/ 1/4 (* 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 (.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 x)) (.f64 x (.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal -1/4 binary64) (.f64 x 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)))))))
(.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 x)) (.f64 x (*.f64 x #s(literal 2 binary64)))))
x
(* (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x)))) (* x (+ 2 (/ (+ -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 (.f64 x x)))) #s(literal 2 binary64)) (+.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 (+ 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))))
(/ 1/4 (* x x))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
1/4
#s(literal 1/4 binary64)
(/ 1 (+ (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))) (/ 1/2 x)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) 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))))))
1
#s(literal 1 binary64)
(+ (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))) (/ 1/2 x))
(+.f64 (/.f64 #s(literal 1/2 binary64) 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)))))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
1/2
#s(literal 1/2 binary64)
(- (log (* (+ 1 (* x (* x (+ -3 (* (* x x) 3))))) (/ 1 (- x (pow (+ (* x x) -1) 1/2))))) (log (+ 1 (* x (* x (+ -3 (* (* x x) 3)))))))
(-.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -3 binary64) (.f64 (.f64 x x) #s(literal 3 binary64))))) (-.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))))) (log1p.f64 (.f64 (.f64 x x) (+.f64 #s(literal -3 binary64) (.f64 (*.f64 x x) #s(literal 3 binary64))))))
(log (* (+ 1 (* x (* x (+ -3 (* (* x x) 3))))) (/ 1 (- x (pow (+ (* x x) -1) 1/2)))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -3 binary64) (.f64 (.f64 x x) #s(literal 3 binary64))))) (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(* (+ 1 (* x (* x (+ -3 (* (* x x) 3))))) (/ 1 (- x (pow (+ (* x x) -1) 1/2))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -3 binary64) (.f64 (.f64 x x) #s(literal 3 binary64))))) (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(+ 1 (* x (* x (+ -3 (* (* x x) 3)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -3 binary64) (.f64 (.f64 x x) #s(literal 3 binary64)))))
1
#s(literal 1 binary64)
(* x (* x (+ -3 (* (* x x) 3))))
(.f64 (.f64 x x) (+.f64 #s(literal -3 binary64) (.f64 (.f64 x x) #s(literal 3 binary64))))
x
(* x (+ -3 (* (* x x) 3)))
(.f64 x (+.f64 #s(literal -3 binary64) (.f64 (*.f64 x x) #s(literal 3 binary64))))
(+ -3 (* (* x x) 3))
(+.f64 #s(literal -3 binary64) (.f64 (.f64 x x) #s(literal 3 binary64)))
-3
#s(literal -3 binary64)
(* (* x x) 3)
(.f64 (.f64 x x) #s(literal 3 binary64))
(* x x)
(*.f64 x x)
3
#s(literal 3 binary64)
(/ 1 (- x (pow (+ (* x x) -1) 1/2)))
(/.f64 #s(literal 1 binary64) (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(- x (pow (+ (* x x) -1) 1/2))
(-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(pow (+ (* x x) -1) 1/2)
(pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(+ (* x x) -1)
(+.f64 (*.f64 x x) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
1/2
#s(literal 1/2 binary64)
(log (+ 1 (* x (* x (+ -3 (* (* x x) 3))))))
(log1p.f64 (.f64 (.f64 x x) (+.f64 #s(literal -3 binary64) (.f64 (.f64 x x) #s(literal 3 binary64)))))

localize918.0ms (8.9%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	52.4%	(pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))
✓	accuracy	28.9%	(log.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -3 binary64) (.f64 (.f64 x x) #s(literal 3 binary64)))))))
✓	accuracy	25.8%	(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -3 binary64) (.f64 (.f64 x x) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))))))
✓	accuracy	8.4%	(-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
✓	accuracy	99.4%	(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
✓	accuracy	99.3%	(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
✓	accuracy	99.3%	(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x)))
✓	accuracy	52.2%	(.f64 (-.f64 (.f64 x (.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))))))) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 1/2 binary64) x))))
✓	accuracy	99.4%	(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
✓	accuracy	99.3%	(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
✓	accuracy	99.3%	(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x)))
✓	accuracy	52.3%	(/.f64 (+.f64 (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 1/2 binary64) x)) (-.f64 (.f64 x (.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))))))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
✓	accuracy	100.0%	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x x))))
✓	accuracy	100.0%	(log.f64 (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x x)))))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.4%	(/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))
✓	accuracy	99.9%	(.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))))))
✓	accuracy	99.8%	(.f64 (.f64 x x) (*.f64 x x))
✓	accuracy	99.4%	(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
✓	accuracy	99.3%	(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x)))

Results

374.0ms	175×	1	valid
248.0ms	69×	2	valid
8.0ms	12×	0	valid

Compiler

Compiled 1821 to 65 computations (96.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 424.0ms

ival-pow: 88.0ms (20.7% of total)

ival-log: 76.0ms (17.9% of total)

backward-pass: 64.0ms (15.1% of total)

ival-mult: 63.0ms (14.8% of total)

ival-div: 60.0ms (14.1% of total)

ival-sub: 35.0ms (8.2% of total)

ival-add: 31.0ms (7.3% of total)

const: 4.0ms (0.9% of total)

ival-neg: 3.0ms (0.7% of total)

series30.0ms (0.3%)

Counts

28 → 336

Calls

Call 1

Inputs
#<alt (log (- (* x (/ 1 (/ (+ 4 (* (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (- (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) 2))) (+ 8 (* (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (/ (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (/ (* (* x x) (* x x)) (+ -1/8 (/ -1/16 (* x x)))))))))) (/ 1/2 x)))>
#<alt (- (* x (/ 1 (/ (+ 4 (* (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (- (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) 2))) (+ 8 (* (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (/ (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (/ (* (* x x) (* x x)) (+ -1/8 (/ -1/16 (* x x)))))))))) (/ 1/2 x))>
#<alt (* x (/ 1 (/ (+ 4 (* (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (- (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) 2))) (+ 8 (* (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (/ (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (/ (* (* x x) (* x x)) (+ -1/8 (/ -1/16 (* x x))))))))))>
#<alt (/ 1 (/ (+ 4 (* (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (- (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) 2))) (+ 8 (* (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (/ (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (/ (* (* x x) (* x x)) (+ -1/8 (/ -1/16 (* x x)))))))))>
#<alt (log (+ (+ (* x 2) (/ -1/2 x)) (/ -1/8 (* x (* x x)))))>
#<alt (+ (+ (* x 2) (/ -1/2 x)) (/ -1/8 (* x (* x x))))>
#<alt (+ (* x 2) (/ -1/2 x))>
#<alt (* x 2)>
#<alt (log (/ (+ (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))) (/ 1/2 x)) (- (* x (* (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x)))) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))))) (/ 1/4 (* x x)))))>
#<alt (/ (+ (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))) (/ 1/2 x)) (- (* x (* (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x)))) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))))) (/ 1/4 (* x x))))>
#<alt (neg (log (/ (+ (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))) (/ 1/2 x)) (- (* x (* (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x)))) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))))) (/ 1/4 (* x x))))))>
#<alt (- (* x (* (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x)))) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))))) (/ 1/4 (* x x)))>
#<alt (log (* (- (* x (* (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x)))) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))))) (/ 1/4 (* x x))) (/ 1 (+ (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))) (/ 1/2 x)))))>
#<alt (* (- (* x (* (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x)))) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))))) (/ 1/4 (* x x))) (/ 1 (+ (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))) (/ 1/2 x))))>
#<alt (* x (* (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x)))) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x)))))))>
#<alt (- (log (* (+ 1 (* x (* x (+ -3 (* (* x x) 3))))) (/ 1 (- x (pow (+ (* x x) -1) 1/2))))) (log (+ 1 (* x (* x (+ -3 (* (* x x) 3)))))))>
#<alt (log (* (+ 1 (* x (* x (+ -3 (* (* x x) 3))))) (/ 1 (- x (pow (+ (* x x) -1) 1/2)))))>
#<alt (* (+ 1 (* x (* x (+ -3 (* (* x x) 3))))) (/ 1 (- x (pow (+ (* x x) -1) 1/2))))>
#<alt (log (+ 1 (* x (* x (+ -3 (* (* x x) 3))))))>
#<alt (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x)))>
#<alt (/ -1/16 (* x x))>
#<alt (* (* x x) (* x x))>
#<alt (* (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (/ (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (/ (* (* x x) (* x x)) (+ -1/8 (/ -1/16 (* x x))))))>
#<alt (/ -1/8 (* x (* x x)))>
#<alt (* x (* x x))>
#<alt (/ 1/4 (* x x))>
#<alt (- x (pow (+ (* x x) -1) 1/2))>
#<alt (pow (+ (* x x) -1) 1/2)>

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 -1/8) (* -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 (/ -1/2 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 (* 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 -16) (* 5 (log x)))>
#<alt (+ (log -16) (+ (* -2 (pow x 2)) (* 5 (log x))))>
#<alt (+ (log -16) (+ (* 5 (log x)) (* (pow x 2) (- (* -6 (pow x 2)) 2))))>
#<alt (+ (log -16) (+ (* 5 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* 136/3 (pow x 2)) 6)) 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 (+ (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 (* -16 (pow x 5))>
#<alt (* (pow x 5) (- (* 32 (pow x 2)) 16))>
#<alt (* (pow x 5) (- (* (pow x 2) (+ 32 (* 64 (pow x 2)))) 16))>
#<alt (* (pow x 5) (- (* (pow x 2) (+ 32 (* (pow x 2) (+ 64 (* -896 (pow x 2)))))) 16))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x)>
#<alt (/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))))) x)>
#<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 (* -1 (+ (log -16) (* 5 (log x))))>
#<alt (- (* 2 (pow x 2)) (+ (log -16) (* 5 (log x))))>
#<alt (- (* (pow x 2) (+ 2 (* 6 (pow x 2)))) (+ (log -16) (* 5 (log x))))>
#<alt (- (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2)))))) (+ (log -16) (* 5 (log x))))>
#<alt (* -1 (+ (log 1/2) (log (/ 1 x))))>
#<alt (* -1 (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (- (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))) (+ (log 1/2) (log (/ 1 x))))>
#<alt (- (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))) (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* -1 (+ (log -1/2) (log (/ -1 x))))>
#<alt (* -1 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (- (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))) (+ (log -1/2) (log (/ -1 x))))>
#<alt (- (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))) (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (/ 1/256 (pow x 10))>
#<alt (/ (+ 1/256 (* 1/64 (pow x 2))) (pow x 10))>
#<alt (/ (+ 1/256 (* (pow x 2) (+ 1/64 (* 1/64 (pow x 2))))) (pow x 10))>
#<alt (/ (+ 1/256 (* (pow x 2) (+ 1/64 (* (pow x 2) (+ 1/64 (* -1/4 (pow x 2))))))) (pow x 10))>
#<alt (* 4 (pow x 2))>
#<alt (* (pow x 2) (- 4 (* 3/4 (/ 1 (pow x 4)))))>
#<alt (* (pow x 2) (+ 4 (* -1 (/ (+ 3/4 (* 1/4 (/ 1 (pow x 2)))) (pow x 4)))))>
#<alt (* (pow x 2) (- (+ 4 (* 1/64 (/ 1 (pow x 8)))) (+ (/ 1/4 (pow x 6)) (* 3/4 (/ 1 (pow x 4))))))>
#<alt (* 4 (pow x 2))>
#<alt (* (pow x 2) (- 4 (* 3/4 (/ 1 (pow x 4)))))>
#<alt (* (pow x 2) (+ 4 (* -1 (/ (+ 3/4 (* 1/4 (/ 1 (pow x 2)))) (pow x 4)))))>
#<alt (* (pow x 2) (- (+ 4 (* 1/64 (/ 1 (pow x 8)))) (+ (/ 1/4 (pow x 6)) (* 3/4 (/ 1 (pow x 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 (* 1/64 (pow x 2))))) (pow x 10))>
#<alt (/ (+ 1/256 (* (pow x 2) (+ 1/64 (* (pow x 2) (+ 1/64 (* -1/4 (pow x 2))))))) (pow x 10))>
#<alt (* 4 (pow x 2))>
#<alt (* (pow x 2) (- 4 (* 1/2 (/ 1 (pow x 4)))))>
#<alt (* (pow x 2) (+ 4 (* -1 (/ (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (pow x 4)))))>
#<alt (* (pow x 2) (- (+ 4 (* 1/64 (/ 1 (pow x 8)))) (+ (/ 1/4 (pow x 6)) (* 1/2 (/ 1 (pow x 4))))))>
#<alt (* 4 (pow x 2))>
#<alt (* (pow x 2) (- 4 (* 1/2 (/ 1 (pow x 4)))))>
#<alt (* (pow x 2) (+ 4 (* -1 (/ (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (pow x 4)))))>
#<alt (* (pow x 2) (- (+ 4 (* 1/64 (/ 1 (pow x 8)))) (+ (/ 1/4 (pow x 6)) (* 1/2 (/ 1 (pow x 4))))))>
#<alt (log (/ -1 (sqrt -1)))>
#<alt (+ (log (/ -1 (sqrt -1))) (/ x (sqrt -1)))>
#<alt (+ (log (/ -1 (sqrt -1))) (* x (+ (* x (+ 3 (* 1/2 (- (* -2 (* (sqrt -1) (- (* 3 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (pow (sqrt -1) 2)))))) (/ 1 (sqrt -1)))))>
#<alt (+ (log (/ -1 (sqrt -1))) (* x (+ (* x (+ 3 (+ (* 1/6 (* x (+ (* -6 (* (sqrt -1) (- (* 1/2 (/ 1 (pow (sqrt -1) 4))) (* -1 (/ (- (* 3 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) (sqrt -1)))))) (+ (* 2 (/ 1 (pow (sqrt -1) 3))) (* 6 (- (* 3 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))))))) (* 1/2 (- (* -2 (* (sqrt -1) (- (* 3 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (pow (sqrt -1) 2))))))) (/ 1 (sqrt -1)))))>
#<alt (- (+ (log 6) (* -5 (log (/ 1 x)))) (+ (log 3) (* -4 (log (/ 1 x)))))>
#<alt (- (+ (log 6) (* -5 (log (/ 1 x)))) (+ (log 3) (+ (* -4 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (- (+ (log 6) (+ (* -5 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) (+ (log 3) (* -4 (log (/ 1 x)))))>
#<alt (- (+ (log 6) (+ (* -5 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (+ (log 3) (+ (* -4 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (- (+ (log -3/2) (* -3 (log (/ -1 x)))) (+ (log 3) (* -4 (log (/ -1 x)))))>
#<alt (- (+ (log -3/2) (+ (* -3 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (+ (log 3) (* -4 (log (/ -1 x)))))>
#<alt (- (+ (log -3/2) (+ (* -3 (log (/ -1 x))) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) (+ (log 3) (* -4 (log (/ -1 x)))))>
#<alt (- (+ (log -3/2) (+ (* -3 (log (/ -1 x))) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) (+ (log 3) (* -4 (log (/ -1 x)))))>
#<alt (log (/ -1 (sqrt -1)))>
#<alt (+ (log (/ -1 (sqrt -1))) (/ x (sqrt -1)))>
#<alt (+ (log (/ -1 (sqrt -1))) (* x (+ (* 1/2 (* x (- (* -2 (* (sqrt -1) (- (* 3 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (pow (sqrt -1) 2))))) (/ 1 (sqrt -1)))))>
#<alt (+ (log (/ -1 (sqrt -1))) (* x (+ (* x (+ (* 1/6 (* x (+ (* -6 (* (sqrt -1) (- (* 1/2 (/ 1 (pow (sqrt -1) 4))) (* -1 (/ (- (* 3 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) (sqrt -1)))))) (+ (* 2 (/ 1 (pow (sqrt -1) 3))) (* 6 (- (* 3 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))))))) (* 1/2 (- (* -2 (* (sqrt -1) (- (* 3 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (pow (sqrt -1) 2)))))) (/ 1 (sqrt -1)))))>
#<alt (+ (log 6) (* -5 (log (/ 1 x))))>
#<alt (- (+ (log 6) (* -5 (log (/ 1 x)))) (* 5/4 (/ 1 (pow x 2))))>
#<alt (+ (log 6) (+ (* -5 (log (/ 1 x))) (* -1 (/ (+ 5/4 (* 25/96 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 6) (+ (* -5 (log (/ 1 x))) (* -1 (/ (+ 25/96 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 5/4 (/ 1 (pow x 2))))>
#<alt (+ (log -3/2) (* -3 (log (/ -1 x))))>
#<alt (- (+ (log -3/2) (* -3 (log (/ -1 x)))) (* 3/4 (/ 1 (pow x 2))))>
#<alt (+ (log -3/2) (+ (* -3 (log (/ -1 x))) (* -1 (/ (+ 3/4 (* 7/96 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -3/2) (+ (* -3 (log (/ -1 x))) (* 5/96 (/ 1 (pow x 6))))) (+ (/ 7/96 (pow x 4)) (* 3/4 (/ 1 (pow x 2)))))>
#<alt (/ -1 (sqrt -1))>
#<alt (- (* -1 (/ x (pow (sqrt -1) 2))) (/ 1 (sqrt -1)))>
#<alt (- (* x (- (* x (- (* 3 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (pow (sqrt -1) 2)))) (/ 1 (sqrt -1)))>
#<alt (- (* x (- (* x (- (+ (* 3 (/ 1 (sqrt -1))) (* x (- (* 1/2 (/ 1 (pow (sqrt -1) 4))) (* -1 (/ (- (* 3 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) (sqrt -1)))))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (pow (sqrt -1) 2)))) (/ 1 (sqrt -1)))>
#<alt (* 6 (pow x 5))>
#<alt (* (pow x 5) (- 6 (* 15/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 6 (/ 25/8 (pow x 4))) (* 15/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 6 (/ 25/8 (pow x 4))) (+ (* 15/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))))>
#<alt (* 3/2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 9/8 (/ 1 (pow x 2))) 3/2)))>
#<alt (* -1 (* (pow x 3) (- (* 9/8 (/ 1 (pow x 2))) (+ 3/2 (/ 5/16 (pow x 4))))))>
#<alt (* -1 (* (pow x 3) (- (+ (* -1 (/ (+ 5/16 (* 7/128 (/ 1 (pow x 2)))) (pow x 4))) (* 9/8 (/ 1 (pow x 2)))) 3/2)))>
#<alt (* -3 (pow x 2))>
#<alt (* (pow x 2) (- (* -3/2 (pow x 2)) 3))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* 9/4 (pow x 4)) 3/2)) 3))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* (pow x 4) (+ 9/4 (* 27/5 (pow x 2)))) 3/2)) 3))>
#<alt (+ (log 3) (* -4 (log (/ 1 x))))>
#<alt (- (+ (log 3) (* -4 (log (/ 1 x)))) (/ 1 (pow x 2)))>
#<alt (+ (log 3) (+ (* -4 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/6 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 3) (+ (* -4 (log (/ 1 x))) (* 1/36 (/ 1 (pow x 8))))) (+ (/ 1/6 (pow x 4)) (/ 1 (pow x 2))))>
#<alt (+ (log 3) (* -4 (log (/ -1 x))))>
#<alt (- (+ (log 3) (* -4 (log (/ -1 x)))) (/ 1 (pow x 2)))>
#<alt (+ (log 3) (+ (* -4 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/6 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 3) (+ (* -4 (log (/ -1 x))) (* 1/36 (/ 1 (pow x 8))))) (+ (/ 1/6 (pow x 4)) (/ 1 (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 (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (pow x 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 (/ -1/4096 (pow x 18))>
#<alt (/ (- (* -3/2048 (pow x 2)) 1/4096) (pow x 18))>
#<alt (/ (- (* (pow x 2) (- (* -3/1024 (pow x 2)) 3/2048)) 1/4096) (pow x 18))>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -1/512 (pow x 2)) 3/1024)) 3/2048)) 1/4096) (pow x 18))>
#<alt (/ -1/512 (pow x 12))>
#<alt (* -1 (/ (+ 1/512 (* 3/1024 (/ 1 (pow x 2)))) (pow x 12)))>
#<alt (/ (- (* -1 (/ (+ 3/1024 (* 3/2048 (/ 1 (pow x 2)))) (pow x 2))) 1/512) (pow x 12))>
#<alt (/ (- (* -1 (/ (+ 3/2048 (* 1/4096 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/512 (* 3/1024 (/ 1 (pow x 2))))) (pow x 12))>
#<alt (/ -1/512 (pow x 12))>
#<alt (* -1 (/ (+ 1/512 (* 3/1024 (/ 1 (pow x 2)))) (pow x 12)))>
#<alt (/ (- (* -1 (/ (+ 3/1024 (* 3/2048 (/ 1 (pow x 2)))) (pow x 2))) 1/512) (pow x 12))>
#<alt (/ (- (* -1 (/ (+ 3/2048 (* 1/4096 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/512 (* 3/1024 (/ 1 (pow x 2))))) (pow x 12))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ -1/8 (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 3)>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (* -1 (sqrt -1))>
#<alt (- x (sqrt -1))>
#<alt (- (* x (+ 1 (* -1/2 (/ x (sqrt -1))))) (sqrt -1))>
#<alt (- (* x (+ 1 (* x (- (* 1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))) (sqrt -1))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x)>
#<alt (/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))))) x)>
#<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 (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))))))>

Calls

84 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(log (- (* x (/ 1 (/ (+ 4 (* (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (- (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) 2))) (+ 8 (* (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (/ (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (/ (* (* x x) (* x x)) (+ -1/8 (/ -1/16 (* x x)))))))))) (/ 1/2 x)))
1.0ms	x	@	0	(* x (/ 1 (/ (+ 4 (* (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (- (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) 2))) (+ 8 (* (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (/ (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (/ (* (* x x) (* x x)) (+ -1/8 (/ -1/16 (* x x))))))))))
1.0ms	x	@	0	(log (/ (+ (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))) (/ 1/2 x)) (- (* x (* (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x)))) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))))) (/ 1/4 (* x x)))))
1.0ms	x	@	0	(- (* x (* (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x)))) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))))) (/ 1/4 (* x x)))
1.0ms	x	@	inf	(log (/ (+ (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))) (/ 1/2 x)) (- (* x (* (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x)))) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))))) (/ 1/4 (* x x)))))

rewrite446.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2768×	`-lowering-.f32`
2768×	`-lowering-.f64`
2482×	`/-lowering-/.f32`
2482×	`/-lowering-/.f64`
1512×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	64	972
1	453	358
2	4957	357
0	8301	357

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 828

Calls

Call 1

Inputs
(log (- (* x (/ 1 (/ (+ 4 (* (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (- (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) 2))) (+ 8 (* (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (/ (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (/ (* (* x x) (* x x)) (+ -1/8 (/ -1/16 (* x x)))))))))) (/ 1/2 x)))
(- (* x (/ 1 (/ (+ 4 (* (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (- (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) 2))) (+ 8 (* (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (/ (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (/ (* (* x x) (* x x)) (+ -1/8 (/ -1/16 (* x x)))))))))) (/ 1/2 x))
(* x (/ 1 (/ (+ 4 (* (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (- (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) 2))) (+ 8 (* (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (/ (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (/ (* (* x x) (* x x)) (+ -1/8 (/ -1/16 (* x x))))))))))
(/ 1 (/ (+ 4 (* (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (- (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) 2))) (+ 8 (* (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (/ (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))) (/ (* (* x x) (* x x)) (+ -1/8 (/ -1/16 (* x x)))))))))
(log (+ (+ (* x 2) (/ -1/2 x)) (/ -1/8 (* x (* x x)))))
(+ (+ (* x 2) (/ -1/2 x)) (/ -1/8 (* x (* x x))))
(+ (* x 2) (/ -1/2 x))
(* x 2)
(log (/ (+ (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))) (/ 1/2 x)) (- (* x (* (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x)))) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))))) (/ 1/4 (* x x)))))
(/ (+ (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))) (/ 1/2 x)) (- (* x (* (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x)))) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))))) (/ 1/4 (* x x))))
(neg (log (/ (+ (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))) (/ 1/2 x)) (- (* x (* (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x)))) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))))) (/ 1/4 (* x 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))))))) (/ 1/4 (* x x)))
(log (* (- (* x (* (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x)))) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))))) (/ 1/4 (* x x))) (/ 1 (+ (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))) (/ 1/2 x)))))
(* (- (* x (* (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x)))) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))))) (/ 1/4 (* x x))) (/ 1 (+ (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))) (/ 1/2 x))))
(* x (* (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x)))) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x)))))))
(- (log (* (+ 1 (* x (* x (+ -3 (* (* x x) 3))))) (/ 1 (- x (pow (+ (* x x) -1) 1/2))))) (log (+ 1 (* x (* x (+ -3 (* (* x x) 3)))))))
(log (* (+ 1 (* x (* x (+ -3 (* (* x x) 3))))) (/ 1 (- x (pow (+ (* x x) -1) 1/2)))))
(* (+ 1 (* x (* x (+ -3 (* (* x x) 3))))) (/ 1 (- x (pow (+ (* x x) -1) 1/2))))
(log (+ 1 (* x (* x (+ -3 (* (* x x) 3))))))
(/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x)))
(/ -1/16 (* 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)) (+ -1/8 (/ -1/16 (* x x))))))
(/ -1/8 (* x (* x x)))
(* x (* x x))
(/ 1/4 (* x x))
(- x (pow (+ (* x x) -1) 1/2))
(pow (+ (* x x) -1) 1/2)

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

simplify320.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

3414×	`+-lowering-+.f64`
3414×	`+-lowering-+.f32`
3040×	`-lowering-.f32`
3040×	`-lowering-.f64`
1792×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	621	4113
1	1872	3846
2	6294	3814
0	8172	3814

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
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(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))
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(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
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(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
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(+ (log -16) (+ (* 5 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* 136/3 (pow x 2)) 6)) 2))))
(+ (log 1/2) (log (/ 1 x)))
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(+ (log 1/2) (+ (log (/ 1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(+ (log -1/2) (log (/ -1 x)))
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(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(* -16 (pow x 5))
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(* (pow x 5) (- (* (pow x 2) (+ 32 (* 64 (pow x 2)))) 16))
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(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))))) x)
(/ 1/2 x)
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(* -1 (+ (log -16) (* 5 (log x))))
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(* -1 (+ (log 1/2) (log (/ 1 x))))
(* -1 (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2))))))
(- (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))) (+ (log 1/2) (log (/ 1 x))))
(- (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))) (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2))))))
(* -1 (+ (log -1/2) (log (/ -1 x))))
(* -1 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))))
(- (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))) (+ (log -1/2) (log (/ -1 x))))
(- (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))) (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))))
(/ 1/256 (pow x 10))
(/ (+ 1/256 (* 1/64 (pow x 2))) (pow x 10))
(/ (+ 1/256 (* (pow x 2) (+ 1/64 (* 1/64 (pow x 2))))) (pow x 10))
(/ (+ 1/256 (* (pow x 2) (+ 1/64 (* (pow x 2) (+ 1/64 (* -1/4 (pow x 2))))))) (pow x 10))
(* 4 (pow x 2))
(* (pow x 2) (- 4 (* 3/4 (/ 1 (pow x 4)))))
(* (pow x 2) (+ 4 (* -1 (/ (+ 3/4 (* 1/4 (/ 1 (pow x 2)))) (pow x 4)))))
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(+ (log -1/16) (* -5 (log x)))
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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))))
(/ -1/16 (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(/ 1/256 (pow x 10))
(/ (+ 1/256 (* 1/64 (pow x 2))) (pow x 10))
(/ (+ 1/256 (* (pow x 2) (+ 1/64 (* 1/64 (pow x 2))))) (pow x 10))
(/ (+ 1/256 (* (pow x 2) (+ 1/64 (* (pow x 2) (+ 1/64 (* -1/4 (pow x 2))))))) (pow x 10))
(* 4 (pow x 2))
(* (pow x 2) (- 4 (* 1/2 (/ 1 (pow x 4)))))
(* (pow x 2) (+ 4 (* -1 (/ (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (pow x 4)))))
(* (pow x 2) (- (+ 4 (* 1/64 (/ 1 (pow x 8)))) (+ (/ 1/4 (pow x 6)) (* 1/2 (/ 1 (pow x 4))))))
(* 4 (pow x 2))
(* (pow x 2) (- 4 (* 1/2 (/ 1 (pow x 4)))))
(* (pow x 2) (+ 4 (* -1 (/ (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (pow x 4)))))
(* (pow x 2) (- (+ 4 (* 1/64 (/ 1 (pow x 8)))) (+ (/ 1/4 (pow x 6)) (* 1/2 (/ 1 (pow x 4))))))
(log (/ -1 (sqrt -1)))
(+ (log (/ -1 (sqrt -1))) (/ x (sqrt -1)))
(+ (log (/ -1 (sqrt -1))) (* x (+ (* x (+ 3 (* 1/2 (- (* -2 (* (sqrt -1) (- (* 3 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (pow (sqrt -1) 2)))))) (/ 1 (sqrt -1)))))
(+ (log (/ -1 (sqrt -1))) (* x (+ (* x (+ 3 (+ (* 1/6 (* x (+ (* -6 (* (sqrt -1) (- (* 1/2 (/ 1 (pow (sqrt -1) 4))) (* -1 (/ (- (* 3 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) (sqrt -1)))))) (+ (* 2 (/ 1 (pow (sqrt -1) 3))) (* 6 (- (* 3 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))))))) (* 1/2 (- (* -2 (* (sqrt -1) (- (* 3 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (pow (sqrt -1) 2))))))) (/ 1 (sqrt -1)))))
(- (+ (log 6) (* -5 (log (/ 1 x)))) (+ (log 3) (* -4 (log (/ 1 x)))))
(- (+ (log 6) (* -5 (log (/ 1 x)))) (+ (log 3) (+ (* -4 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))))
(- (+ (log 6) (+ (* -5 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) (+ (log 3) (* -4 (log (/ 1 x)))))
(- (+ (log 6) (+ (* -5 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (+ (log 3) (+ (* -4 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))))
(- (+ (log -3/2) (* -3 (log (/ -1 x)))) (+ (log 3) (* -4 (log (/ -1 x)))))
(- (+ (log -3/2) (+ (* -3 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (+ (log 3) (* -4 (log (/ -1 x)))))
(- (+ (log -3/2) (+ (* -3 (log (/ -1 x))) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) (+ (log 3) (* -4 (log (/ -1 x)))))
(- (+ (log -3/2) (+ (* -3 (log (/ -1 x))) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) (+ (log 3) (* -4 (log (/ -1 x)))))
(log (/ -1 (sqrt -1)))
(+ (log (/ -1 (sqrt -1))) (/ x (sqrt -1)))
(+ (log (/ -1 (sqrt -1))) (* x (+ (* 1/2 (* x (- (* -2 (* (sqrt -1) (- (* 3 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (pow (sqrt -1) 2))))) (/ 1 (sqrt -1)))))
(+ (log (/ -1 (sqrt -1))) (* x (+ (* x (+ (* 1/6 (* x (+ (* -6 (* (sqrt -1) (- (* 1/2 (/ 1 (pow (sqrt -1) 4))) (* -1 (/ (- (* 3 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) (sqrt -1)))))) (+ (* 2 (/ 1 (pow (sqrt -1) 3))) (* 6 (- (* 3 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))))))) (* 1/2 (- (* -2 (* (sqrt -1) (- (* 3 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (pow (sqrt -1) 2)))))) (/ 1 (sqrt -1)))))
(+ (log 6) (* -5 (log (/ 1 x))))
(- (+ (log 6) (* -5 (log (/ 1 x)))) (* 5/4 (/ 1 (pow x 2))))
(+ (log 6) (+ (* -5 (log (/ 1 x))) (* -1 (/ (+ 5/4 (* 25/96 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 6) (+ (* -5 (log (/ 1 x))) (* -1 (/ (+ 25/96 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 5/4 (/ 1 (pow x 2))))
(+ (log -3/2) (* -3 (log (/ -1 x))))
(- (+ (log -3/2) (* -3 (log (/ -1 x)))) (* 3/4 (/ 1 (pow x 2))))
(+ (log -3/2) (+ (* -3 (log (/ -1 x))) (* -1 (/ (+ 3/4 (* 7/96 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -3/2) (+ (* -3 (log (/ -1 x))) (* 5/96 (/ 1 (pow x 6))))) (+ (/ 7/96 (pow x 4)) (* 3/4 (/ 1 (pow x 2)))))
(/ -1 (sqrt -1))
(- (* -1 (/ x (pow (sqrt -1) 2))) (/ 1 (sqrt -1)))
(- (* x (- (* x (- (* 3 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (pow (sqrt -1) 2)))) (/ 1 (sqrt -1)))
(- (* x (- (* x (- (+ (* 3 (/ 1 (sqrt -1))) (* x (- (* 1/2 (/ 1 (pow (sqrt -1) 4))) (* -1 (/ (- (* 3 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) (sqrt -1)))))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (pow (sqrt -1) 2)))) (/ 1 (sqrt -1)))
(* 6 (pow x 5))
(* (pow x 5) (- 6 (* 15/2 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 6 (/ 25/8 (pow x 4))) (* 15/2 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 6 (/ 25/8 (pow x 4))) (+ (* 15/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))))
(* 3/2 (pow x 3))
(* -1 (* (pow x 3) (- (* 9/8 (/ 1 (pow x 2))) 3/2)))
(* -1 (* (pow x 3) (- (* 9/8 (/ 1 (pow x 2))) (+ 3/2 (/ 5/16 (pow x 4))))))
(* -1 (* (pow x 3) (- (+ (* -1 (/ (+ 5/16 (* 7/128 (/ 1 (pow x 2)))) (pow x 4))) (* 9/8 (/ 1 (pow x 2)))) 3/2)))
(* -3 (pow x 2))
(* (pow x 2) (- (* -3/2 (pow x 2)) 3))
(* (pow x 2) (- (* (pow x 2) (- (* 9/4 (pow x 4)) 3/2)) 3))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 4) (+ 9/4 (* 27/5 (pow x 2)))) 3/2)) 3))
(+ (log 3) (* -4 (log (/ 1 x))))
(- (+ (log 3) (* -4 (log (/ 1 x)))) (/ 1 (pow x 2)))
(+ (log 3) (+ (* -4 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/6 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 3) (+ (* -4 (log (/ 1 x))) (* 1/36 (/ 1 (pow x 8))))) (+ (/ 1/6 (pow x 4)) (/ 1 (pow x 2))))
(+ (log 3) (* -4 (log (/ -1 x))))
(- (+ (log 3) (* -4 (log (/ -1 x)))) (/ 1 (pow x 2)))
(+ (log 3) (+ (* -4 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/6 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 3) (+ (* -4 (log (/ -1 x))) (* 1/36 (/ 1 (pow x 8))))) (+ (/ 1/6 (pow x 4)) (/ 1 (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)))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(pow x 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)
(/ -1/4096 (pow x 18))
(/ (- (* -3/2048 (pow x 2)) 1/4096) (pow x 18))
(/ (- (* (pow x 2) (- (* -3/1024 (pow x 2)) 3/2048)) 1/4096) (pow x 18))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -1/512 (pow x 2)) 3/1024)) 3/2048)) 1/4096) (pow x 18))
(/ -1/512 (pow x 12))
(* -1 (/ (+ 1/512 (* 3/1024 (/ 1 (pow x 2)))) (pow x 12)))
(/ (- (* -1 (/ (+ 3/1024 (* 3/2048 (/ 1 (pow x 2)))) (pow x 2))) 1/512) (pow x 12))
(/ (- (* -1 (/ (+ 3/2048 (* 1/4096 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/512 (* 3/1024 (/ 1 (pow x 2))))) (pow x 12))
(/ -1/512 (pow x 12))
(* -1 (/ (+ 1/512 (* 3/1024 (/ 1 (pow x 2)))) (pow x 12)))
(/ (- (* -1 (/ (+ 3/1024 (* 3/2048 (/ 1 (pow x 2)))) (pow x 2))) 1/512) (pow x 12))
(/ (- (* -1 (/ (+ 3/2048 (* 1/4096 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/512 (* 3/1024 (/ 1 (pow x 2))))) (pow x 12))
(/ -1/8 (pow x 3))
(/ -1/8 (pow x 3))
(/ -1/8 (pow x 3))
(/ -1/8 (pow x 3))
(/ -1/8 (pow x 3))
(/ -1/8 (pow x 3))
(/ -1/8 (pow x 3))
(/ -1/8 (pow x 3))
(/ -1/8 (pow x 3))
(/ -1/8 (pow x 3))
(/ -1/8 (pow x 3))
(/ -1/8 (pow x 3))
(pow x 3)
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(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
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(pow x 3)
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(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(* -1 (sqrt -1))
(- x (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))))))) (sqrt -1))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))))) x)
(* 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)))
(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))))))

Outputs
(+ (log -1/16) (* -5 (log x)))
(+.f64 (log.f64 #s(literal -1/16 binary64)) (*.f64 #s(literal -5 binary64) (log.f64 x)))
(+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))
(+.f64 (+.f64 (log.f64 #s(literal -1/16 binary64)) (.f64 #s(literal -5 binary64) (log.f64 x))) (.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))
(+.f64 (log.f64 #s(literal -1/16 binary64)) (+.f64 (.f64 #s(literal -5 binary64) (log.f64 x)) (.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 6 binary64)))))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))
(+.f64 (+.f64 (log.f64 #s(literal -1/16 binary64)) (.f64 #s(literal -5 binary64) (log.f64 x))) (.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 6 binary64) (.f64 (*.f64 x x) #s(literal -136/3 binary64))))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
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(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -1/512 (pow x 2)) 3/1024)) 3/2048)) 1/4096) (pow x 18))
(/.f64 (+.f64 #s(literal -1/4096 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -3/2048 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -3/1024 binary64) (.f64 (.f64 x x) #s(literal -1/512 binary64))))))) (pow.f64 x #s(literal 18 binary64)))
(/ -1/512 (pow x 12))
(/.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal 12 binary64)))
(* -1 (/ (+ 1/512 (* 3/1024 (/ 1 (pow x 2)))) (pow x 12)))
(/.f64 (+.f64 #s(literal -1/512 binary64) (.f64 (/.f64 #s(literal 3/1024 binary64) (.f64 x x)) #s(literal -1 binary64))) (pow.f64 x #s(literal 12 binary64)))
(/ (- (* -1 (/ (+ 3/1024 (* 3/2048 (/ 1 (pow x 2)))) (pow x 2))) 1/512) (pow x 12))
(/.f64 (+.f64 #s(literal -1/512 binary64) (/.f64 (+.f64 #s(literal 3/1024 binary64) (/.f64 #s(literal 3/2048 binary64) (.f64 x x))) (neg.f64 (.f64 x x)))) (pow.f64 x #s(literal 12 binary64)))
(/ (- (* -1 (/ (+ 3/2048 (* 1/4096 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/512 (* 3/1024 (/ 1 (pow x 2))))) (pow x 12))
(/.f64 (-.f64 (/.f64 (+.f64 #s(literal 3/2048 binary64) (/.f64 #s(literal 1/4096 binary64) (.f64 x x))) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1/512 binary64) (/.f64 #s(literal 3/1024 binary64) (.f64 x x)))) (pow.f64 x #s(literal 12 binary64)))
(/ -1/512 (pow x 12))
(/.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal 12 binary64)))
(* -1 (/ (+ 1/512 (* 3/1024 (/ 1 (pow x 2)))) (pow x 12)))
(/.f64 (+.f64 #s(literal -1/512 binary64) (.f64 (/.f64 #s(literal 3/1024 binary64) (.f64 x x)) #s(literal -1 binary64))) (pow.f64 x #s(literal 12 binary64)))
(/ (- (* -1 (/ (+ 3/1024 (* 3/2048 (/ 1 (pow x 2)))) (pow x 2))) 1/512) (pow x 12))
(/.f64 (+.f64 #s(literal -1/512 binary64) (/.f64 (+.f64 #s(literal 3/1024 binary64) (/.f64 #s(literal 3/2048 binary64) (.f64 x x))) (neg.f64 (.f64 x x)))) (pow.f64 x #s(literal 12 binary64)))
(/ (- (* -1 (/ (+ 3/2048 (* 1/4096 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/512 (* 3/1024 (/ 1 (pow x 2))))) (pow x 12))
(/.f64 (-.f64 (/.f64 (+.f64 #s(literal 3/2048 binary64) (/.f64 #s(literal 1/4096 binary64) (.f64 x x))) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1/512 binary64) (/.f64 #s(literal 3/1024 binary64) (.f64 x x)))) (pow.f64 x #s(literal 12 binary64)))
(/ -1/8 (pow x 3))
(/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))
(/ -1/8 (pow x 3))
(/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))
(/ -1/8 (pow x 3))
(/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))
(/ -1/8 (pow x 3))
(/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))
(/ -1/8 (pow x 3))
(/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))
(/ -1/8 (pow x 3))
(/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))
(/ -1/8 (pow x 3))
(/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))
(/ -1/8 (pow x 3))
(/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))
(/ -1/8 (pow x 3))
(/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))
(/ -1/8 (pow x 3))
(/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))
(/ -1/8 (pow x 3))
(/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))
(/ -1/8 (pow x 3))
(/.f64 #s(literal -1/8 binary64) (.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))
(/ 1/4 (pow x 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
(/ 1/4 (pow x 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
(/ 1/4 (pow x 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
(/ 1/4 (pow x 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
(/ 1/4 (pow x 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
(/ 1/4 (pow x 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
(/ 1/4 (pow x 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
(/ 1/4 (pow x 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
(/ 1/4 (pow x 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
(/ 1/4 (pow x 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
(/ 1/4 (pow x 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
(/ 1/4 (pow x 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
(* -1 (sqrt -1))
(-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))
(- x (sqrt -1))
(-.f64 x (sqrt.f64 #s(literal -1 binary64)))
(- (* x (+ 1 (* -1/2 (/ x (sqrt -1))))) (sqrt -1))
(-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))))) (sqrt.f64 #s(literal -1 binary64)))
(- (* x (+ 1 (* x (- (* 1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))) (sqrt -1))
(-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal -1/8 binary64) (.f64 x (/.f64 x (sqrt.f64 #s(literal -1 binary64))))))))) (sqrt.f64 #s(literal -1 binary64)))
(/ 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)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x)
(/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) x)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 6 binary64)))))) x)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(.f64 x (.f64 #s(literal -1 binary64) (+.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 (+.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(.f64 (+.f64 #s(literal -2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))))) (-.f64 #s(literal 0 binary64) 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 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal 1/8 binary64) (.f64 x (/.f64 x (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 (.f64 x 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) (.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 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) 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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 #s(literal 0 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))
(.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x))

eval695.0ms (6.8%)

Compiler: Compiled 165406 to 7396 computations (95.5% saved)

prune259.0ms (2.5%)

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	2130	3	2133
Fresh	0	0	0
Picked	2	3	5
Done	0	5	5
Total	2132	11	2143

Accuracy

100.0%

Counts

2143 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.0%	(-.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -3 binary64) (.f64 (.f64 x x) #s(literal 3 binary64))))) (-.f64 x (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)))))) (log1p.f64 (.f64 (.f64 x x) (+.f64 #s(literal -3 binary64) (.f64 (*.f64 x x) #s(literal 3 binary64))))))
	99.5%	(neg.f64 (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)))))))
	98.4%	(neg.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)))
✓	99.5%	(log.f64 (-.f64 (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))) #s(literal 2 binary64)))) (+.f64 #s(literal 8 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x)))))))))) (/.f64 #s(literal 1/2 binary64) x)))
✓	99.5%	(log.f64 (-.f64 (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1/2 binary64) x)))
✓	99.4%	(log.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) x) x))
✓	99.5%	(log.f64 (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x x)))))
✓	99.5%	(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)))
✓	50.4%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
✓	98.4%	(log.f64 (+.f64 x x))
✓	50.0%	(log.f64 (.f64 (-.f64 (.f64 x (.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))))))) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 1/2 binary64) x)))))

Compiler

Compiled 916 to 268 computations (70.7% saved)

regimes19.0ms (0.2%)

Counts

18 → 1

Calls

Call 1

Inputs
(log.f64 (+.f64 x x))
(neg.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)))
(log.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) 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 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x x)))))
(log.f64 (+.f64 (.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x x)))))
(log.f64 (-.f64 (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1/2 binary64) x)))
(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))))))))
(neg.f64 (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)))))))
(neg.f64 (log.f64 (/.f64 (+.f64 (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 1/2 binary64) x)) (-.f64 (.f64 x (.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))))))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))))
(log.f64 (.f64 (-.f64 (.f64 x (.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))))))) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 1/2 binary64) x)))))
(log.f64 (-.f64 (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))) #s(literal 2 binary64)))) (+.f64 #s(literal 8 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x)))))))))) (/.f64 #s(literal 1/2 binary64) x)))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -3 binary64) (.f64 (.f64 x x) #s(literal 3 binary64))))) (-.f64 x (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)))))) (log1p.f64 (.f64 (.f64 x x) (+.f64 #s(literal -3 binary64) (.f64 (*.f64 x x) #s(literal 3 binary64))))))
(-.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -3 binary64) (.f64 (.f64 x x) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))))) (log.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -3 binary64) (.f64 (.f64 x x) #s(literal 3 binary64))))))))
(-.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -3 binary64) (.f64 (.f64 x x) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))))) (log.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -1 binary64)))))))
(-.f64 (log.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 (.f64 x x) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))))) (log.f64 (+.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)))))))

Outputs

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

Calls

3 calls:

6.0ms	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
5.0ms	x
5.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))`
99.5%	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

12 → 1

Calls

Call 1

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

Outputs

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

5 → 1

Calls

Call 1

Inputs
(log.f64 (+.f64 x x))
(neg.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)))
(log.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) 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
99.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

4 → 1

Calls

Call 1

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -0.0b remaining (-0.4%)

Threshold costs -0b (-0.4%)

Counts

2 → 1

Calls

Call 1

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

34×	`+-commutative_binary64`
22×	`*-commutative_binary64`
14×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	160
1	75	160
2	87	160
3	95	160
4	101	160
5	103	160

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.8s (17.8%)

Rules

4318×	`+-lowering-+.f64`
4318×	`+-lowering-+.f32`
3802×	`+-lowering-+.f64`
3802×	`+-lowering-+.f32`
3378×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	477	2960
1	1432	2733
2	4776	2683
0	8280	2683
0	459	3134
1	1386	2943
2	4675	2853
0	8728	2853
0	49	285
1	358	256
2	3827	252
0	8172	252
0	45	274
1	329	198
2	3728	195
0	8914	195
0	150	548
1	432	497
2	1371	485
3	4235	468
0	8340	468

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
1×	iter limit
1×	node limit

Compiler

Compiled 203 to 80 computations (60.6% saved)

preprocess48.0ms (0.5%)

Compiler: Compiled 368 to 132 computations (64.1% saved)

analyze0.0ms (0%)

sample575.0ms (5.6%)

preprocess187.0ms (1.8%)

explain83.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify139.0ms (1.3%)

localize57.0ms (0.6%)

series5.0ms (0%)

rewrite270.0ms (2.6%)

simplify217.0ms (2.1%)

eval60.0ms (0.6%)

prune51.0ms (0.5%)

simplify176.0ms (1.7%)

localize559.0ms (5.4%)

series111.0ms (1.1%)

rewrite441.0ms (4.3%)

simplify345.0ms (3.4%)

eval194.0ms (1.9%)

prune170.0ms (1.7%)

simplify232.0ms (2.3%)

localize579.0ms (5.6%)

series9.0ms (0.1%)

rewrite368.0ms (3.6%)

simplify325.0ms (3.2%)

eval163.0ms (1.6%)

prune93.0ms (0.9%)

simplify271.0ms (2.6%)

localize918.0ms (8.9%)

series30.0ms (0.3%)

rewrite446.0ms (4.3%)

simplify320.0ms (3.1%)

eval695.0ms (6.8%)

prune259.0ms (2.5%)

regimes19.0ms (0.2%)

regimes5.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

simplify12.0ms (0.1%)

soundness1.8s (17.8%)

preprocess48.0ms (0.5%)

end0.0ms (0%)

Profiling