Metrics for Hyperbolic arc-(co)tangent

analyze4.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
50%	25%	25%	0%	0%	50%	0%	4
75%	37.5%	12.5%	0%	0%	50%	0%	5
87.5%	43.7%	6.2%	0%	0%	50%	0%	6
93.8%	46.9%	3.1%	0%	0%	50%	0%	7
96.9%	48.4%	1.6%	0%	0%	50%	0%	8
98.4%	49.2%	0.8%	0%	0%	50%	0%	9
99.2%	49.6%	0.4%	0%	0%	50%	0%	10
99.6%	49.8%	0.2%	0%	0%	50%	0%	11
99.8%	49.9%	0.1%	0%	0%	50%	0%	12

Compiler

Compiled 14 to 10 computations (28.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 1.0ms (54.1% of total)

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

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

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

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

const: 0.0ms (0% of total)

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

sample2.9s (27%)

Results

1.6s	6089×	1	valid
885.0ms	1932×	2	valid
21.0ms	235×	0	valid
0.0ms	1×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 2.1s

ival-log: 1.1s (52.3% of total)

ival-div: 324.0ms (15.5% of total)

backward-pass: 195.0ms (9.3% of total)

ival-mult: 190.0ms (9.1% of total)

ival-add: 152.0ms (7.3% of total)

ival-sub: 114.0ms (5.4% of total)

const: 24.0ms (1.1% of total)

Bogosity

preprocess66.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

928×	`fnmadd-define`
886×	`sum3-define`
610×	`fma-define`
552×	`sum5-define`
508×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	32
1	36	30
2	60	30
3	119	30
4	245	30
5	542	30
6	1547	30
7	2671	30
8	3389	30
0	10	10
1	16	10
2	20	10
3	26	10
4	35	10
5	50	10
6	73	10
7	98	10
8	145	10
9	217	10
10	271	10
11	442	10
12	990	10
13	1689	10
14	1767	10
0	1767	10

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

Outputs
(* (/ 1 2) (log (/ (+ 1 x) (- 1 x))))
(* 1/2 (log (/ (+ 1 x) (- 1 x))))
(* (/ 1 2) (log (/ (+ 1 (neg x)) (- 1 (neg x)))))
(* 1/2 (log (/ (- 1 x) (+ 1 x))))
(neg (* (/ 1 2) (log (/ (+ 1 (neg x)) (- 1 (neg x))))))
(* (log (/ (- 1 x) (+ 1 x))) -1/2)

explain223.0ms (2.1%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
254	-	-	`(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
0	-	-	`x`
0	-	-	`(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))`
0	-	-	`(+.f64 #s(literal 1 binary64) x)`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
0	-	-	`(-.f64 #s(literal 1 binary64) x)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`

Results

116.0ms	372×	1	valid
55.0ms	118×	2	valid
2.0ms	22×	0	valid

Compiler

Compiled 95 to 29 computations (69.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 119.0ms

ival-log: 61.0ms (51.1% of total)

ival-div: 22.0ms (18.4% of total)

backward-pass: 14.0ms (11.7% of total)

ival-mult: 9.0ms (7.5% of total)

ival-sub: 6.0ms (5% of total)

ival-add: 6.0ms (5% of total)

const: 2.0ms (1.7% of total)

eval0.0ms (0%)

Compiler: Compiled 11 to 8 computations (27.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	9.7%	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify47.0ms (0.4%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

422×	`sum3-define`
384×	`sum5-define`
328×	`fnmadd-define`
258×	`fma-define`
252×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	34
1	14	34
2	18	34
3	24	34
4	33	34
5	48	34
6	71	34
7	96	34
8	143	34
9	215	34
10	266	34
11	435	34
12	985	34
13	1685	34
14	1763	34
0	1763	34

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize96.0ms (0.9%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
✓	accuracy	9.7%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))

Results

48.0ms	186×	1	valid
31.0ms	59×	2	valid
1.0ms	11×	0	valid

Compiler

Compiled 36 to 9 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-log: 28.0ms (53.3% of total)

backward-pass: 8.0ms (15.2% of total)

ival-div: 5.0ms (9.5% of total)

ival-add: 4.0ms (7.6% of total)

ival-mult: 4.0ms (7.6% of total)

ival-sub: 3.0ms (5.7% of total)

const: 1.0ms (1.9% of total)

series4.0ms (0%)

Counts

4 → 48

Calls

Call 1

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

Outputs
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* 1/2 (log -1))>
#<alt (+ (* 1/2 (log -1)) (/ 1 x))>
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))>
#<alt (* 1/2 (log -1))>
#<alt (+ (* 1/2 (log -1)) (/ 1 x))>
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))>
#<alt (log -1)>
#<alt (+ (log -1) (* 2 (/ 1 x)))>
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))>
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))>
#<alt (log -1)>
#<alt (+ (log -1) (* 2 (/ 1 x)))>
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))>
#<alt (+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))>
#<alt 1>
#<alt (+ 1 (* 2 x))>
#<alt (+ 1 (* x (+ 2 (* 2 x))))>
#<alt (+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)>
#<alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>

Calls

12 calls:

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

rewrite292.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2630×	`fma-lowering-fma.f32`
2630×	`fma-lowering-fma.f64`
2074×	`/-lowering-/.f32`
2074×	`/-lowering-/.f64`
2036×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	41	24
2	317	24
3	4256	24
0	8267	24

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 405

Calls

Call 1

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

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

simplify179.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

2042×	`-lowering-.f32`
2042×	`-lowering-.f64`
1842×	`sum3-define`
1788×	`fma-lowering-fma.f32`
1788×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	110	380
1	341	345
2	1011	337
3	2857	334
4	5104	334
0	8012	334

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))

Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64))))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))
(* 1/2 (log -1))
(*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)))
(+ (* 1/2 (log -1)) (/ 1 x))
(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1/3 binary64) x) (.f64 x x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) x) (.f64 x x)) (/.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x)))))))
(* 1/2 (log -1))
(*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)))
(+ (* 1/2 (log -1)) (/ 1 x))
(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1/3 binary64) x) (.f64 x x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(+.f64 (.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))) (*.f64 x x))) x))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 2/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 2/3 binary64))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 2/5 binary64))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/5 binary64) (.f64 x (*.f64 x #s(literal 2/7 binary64)))))))))
(log -1)
(log.f64 #s(literal -1 binary64))
(+ (log -1) (* 2 (/ 1 x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) x))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x x)))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(+.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal 2/5 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(log -1)
(log.f64 #s(literal -1 binary64))
(+ (log -1) (* 2 (/ 1 x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) x))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x x)))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -2/5 binary64) (.f64 x x))) (.f64 x x))) x))
1
#s(literal 1 binary64)
(+ 1 (* 2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))
(+ 1 (* x (+ 2 (* 2 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64)))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))))))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) x) #s(literal -2 binary64)) x))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) x))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) x) #s(literal -2 binary64)) x))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))

eval58.0ms (0.5%)

Compiler: Compiled 11293 to 1763 computations (84.4% saved)

prune88.0ms (0.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	445	8	453
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	445	9	454

Accuracy

100.0%

Counts

454 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))
▶	99.6%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64))))))))
	99.5%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
▶	21.8%	(.f64 #s(literal 1/2 binary64) (+.f64 (log1p.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))))
	9.6%	(.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
	9.6%	(*.f64 #s(literal 1/2 binary64) (neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
▶	9.6%	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))))
✓	9.7%	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
▶	98.9%	x

Compiler

Compiled 249 to 162 computations (34.9% saved)

simplify220.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x (+.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(+.f64 (log1p.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (+.f64 (log1p.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
✓	cost-diff	256	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
✓	cost-diff	256	(log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
✓	cost-diff	256	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64)))))
✓	cost-diff	0	(.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64)))))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64))))))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))

Rules

2440×	`fma-lowering-fma.f32`
2440×	`fma-lowering-fma.f64`
2328×	`-lowering-.f32`
2328×	`-lowering-.f64`
2212×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	303
1	120	279
2	354	270
3	952	270
4	2059	270
5	2929	270
6	3325	270
7	4146	270
8	5539	270
9	7694	270
0	8003	270

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* x (+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))
x
(+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))
1
(* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))
(* x x)
(+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))
1/3
(* (* x x) (+ 1/5 (* x (* x 1/7))))
(+ 1/5 (* x (* x 1/7)))
1/5
(* x (* x 1/7))
(* x 1/7)
1/7
x
(* x (+ 1 (* x (* x (+ 1/3 (* x (* x 1/5)))))))
x
(+ 1 (* x (* x (+ 1/3 (* x (* x 1/5))))))
1
(* x (* x (+ 1/3 (* x (* x 1/5)))))
(* x (+ 1/3 (* x (* x 1/5))))
(+ 1/3 (* x (* x 1/5)))
1/3
(* x (* x 1/5))
(* x 1/5)
1/5
(* 1/2 (log (/ (/ 1 (- 1 x)) (/ 1 (+ 1 x)))))
1/2
(log (/ (/ 1 (- 1 x)) (/ 1 (+ 1 x))))
(/ (/ 1 (- 1 x)) (/ 1 (+ 1 x)))
(/ 1 (- 1 x))
1
(- 1 x)
x
(/ 1 (+ 1 x))
(+ 1 x)
(* 1/2 (+ (log (+ 1 (* x (+ 1 x)))) (log (/ (+ 1 x) (- 1 (* x (* x x)))))))
1/2
(+ (log (+ 1 (* x (+ 1 x)))) (log (/ (+ 1 x) (- 1 (* x (* x x))))))
(log (+ 1 (* x (+ 1 x))))
(* x (+ 1 x))
x
(+ 1 x)
1
(log (/ (+ 1 x) (- 1 (* x (* x x)))))
(/ (+ 1 x) (- 1 (* x (* x x))))
(- 1 (* x (* x x)))
(* x (* x x))
(* x x)

Outputs
(* x (+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))
x
(+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))))
1
#s(literal 1 binary64)
(* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))
(* x x)
(*.f64 x x)
(+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))
(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))
1/3
#s(literal 1/3 binary64)
(* (* x x) (+ 1/5 (* x (* x 1/7))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))
(+ 1/5 (* x (* x 1/7)))
(+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))
1/5
#s(literal 1/5 binary64)
(* x (* x 1/7))
(.f64 x (.f64 x #s(literal 1/7 binary64)))
(* x 1/7)
(*.f64 x #s(literal 1/7 binary64))
1/7
#s(literal 1/7 binary64)
x
(* x (+ 1 (* x (* x (+ 1/3 (* x (* x 1/5)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64)))))))
x
(+ 1 (* x (* x (+ 1/3 (* x (* x 1/5))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64))))))
1
#s(literal 1 binary64)
(* x (* x (+ 1/3 (* x (* x 1/5)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64)))))
(* x (+ 1/3 (* x (* x 1/5))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64)))))
(+ 1/3 (* x (* x 1/5)))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64))))
1/3
#s(literal 1/3 binary64)
(* x (* x 1/5))
(.f64 x (.f64 x #s(literal 1/5 binary64)))
(* x 1/5)
(*.f64 x #s(literal 1/5 binary64))
1/5
#s(literal 1/5 binary64)
(* 1/2 (log (/ (/ 1 (- 1 x)) (/ 1 (+ 1 x)))))
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
1/2
#s(literal 1/2 binary64)
(log (/ (/ 1 (- 1 x)) (/ 1 (+ 1 x))))
(log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(/ (/ 1 (- 1 x)) (/ 1 (+ 1 x)))
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/ 1 (- 1 x))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
x
(/ 1 (+ 1 x))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(* 1/2 (+ (log (+ 1 (* x (+ 1 x)))) (log (/ (+ 1 x) (- 1 (* x (* x x)))))))
(.f64 #s(literal 1/2 binary64) (+.f64 (log1p.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))))
1/2
#s(literal 1/2 binary64)
(+ (log (+ 1 (* x (+ 1 x)))) (log (/ (+ 1 x) (- 1 (* x (* x x))))))
(+.f64 (log1p.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(log (+ 1 (* x (+ 1 x))))
(log1p.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))
(* x (+ 1 x))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
x
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(log (/ (+ 1 x) (- 1 (* x (* x x)))))
(log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))
(/ (+ 1 x) (- 1 (* x (* x x))))
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(- 1 (* x (* x x)))
(-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)

localize488.0ms (4.5%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))
✓	accuracy	100.0%	(*.f64 x (+.f64 #s(literal 1 binary64) x))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	9.6%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
✓	accuracy	99.9%	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
✓	accuracy	9.7%	(log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/5 binary64)))
✓	accuracy	99.8%	(.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64))))))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/5 binary64))
✓	accuracy	99.4%	(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64)))))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/7 binary64)))
✓	accuracy	99.8%	(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))
✓	accuracy	99.7%	(.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/7 binary64))

Results

244.0ms	190×	1	valid
130.0ms	59×	2	valid
3.0ms	7×	0	valid

Compiler

Compiled 325 to 38 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 331.0ms

ival-log: 107.0ms (32.3% of total)

ival-mult: 89.0ms (26.9% of total)

compiled-spec: 35.0ms (10.6% of total)

backward-pass: 27.0ms (8.2% of total)

ival-add: 26.0ms (7.9% of total)

...c/correct-round.rkt:119:19: 25.0ms (7.6% of total)

ival-div: 16.0ms (4.8% of total)

ival-sub: 6.0ms (1.8% of total)

const: 1.0ms (0.3% of total)

series37.0ms (0.3%)

Counts

24 → 288

Calls

Call 1

Inputs
#<alt (* x (+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))>
#<alt (+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))>
#<alt (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))>
#<alt (* x x)>
#<alt (* x (+ 1 (* x (* x (+ 1/3 (* x (* x 1/5)))))))>
#<alt (+ 1 (* x (* x (+ 1/3 (* x (* x 1/5))))))>
#<alt (* x (* x (+ 1/3 (* x (* x 1/5)))))>
#<alt (* x (+ 1/3 (* x (* x 1/5))))>
#<alt (* 1/2 (log (/ (/ 1 (- 1 x)) (/ 1 (+ 1 x)))))>
#<alt (log (/ (/ 1 (- 1 x)) (/ 1 (+ 1 x))))>
#<alt (/ (/ 1 (- 1 x)) (/ 1 (+ 1 x)))>
#<alt (/ 1 (- 1 x))>
#<alt (* 1/2 (+ (log (+ 1 (* x (+ 1 x)))) (log (/ (+ 1 x) (- 1 (* x (* x x)))))))>
#<alt (+ (log (+ 1 (* x (+ 1 x)))) (log (/ (+ 1 x) (- 1 (* x (* x x))))))>
#<alt (log (+ 1 (* x (+ 1 x))))>
#<alt (* x (+ 1 x))>
#<alt (* x 1/7)>
#<alt (* (* x x) (+ 1/5 (* x (* x 1/7))))>
#<alt (* x (* x 1/7))>
#<alt (* x 1/5)>
#<alt (* x (* x 1/5))>
#<alt (/ 1 (+ 1 x))>
#<alt (log (/ (+ 1 x) (- 1 (* x (* x x)))))>
#<alt (* x (* x x))>

Outputs
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))>
#<alt 1>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* 1/5 (pow x 5))>
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/5 (pow x 5))>
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))>
#<alt 1>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))>
#<alt (* 1/5 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/5 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* 1/5 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/5 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* x (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* x (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* 1/5 (pow x 3))>
#<alt (* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/5 (pow x 3))>
#<alt (* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* 1/2 (log -1))>
#<alt (+ (* 1/2 (log -1)) (/ 1 x))>
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))>
#<alt (* 1/2 (log -1))>
#<alt (+ (* 1/2 (log -1)) (/ 1 x))>
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))>
#<alt (log -1)>
#<alt (+ (log -1) (* 2 (/ 1 x)))>
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))>
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))>
#<alt (log -1)>
#<alt (+ (log -1) (* 2 (/ 1 x)))>
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))>
#<alt (+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))>
#<alt 1>
#<alt (+ 1 (* 2 x))>
#<alt (+ 1 (* x (+ 2 (* 2 x))))>
#<alt (+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)>
#<alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 x)))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1 x)))))>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (/ 1 x)) x))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* 1/2 (+ (log -1) (+ (* -2 (log (/ 1 x))) (* 2 (log (/ 1 x))))))>
#<alt (+ (* 1/2 (+ (log -1) (+ (* -2 (log (/ 1 x))) (* 2 (log (/ 1 x)))))) (/ 1 x))>
#<alt (+ (* 1/2 (+ (log -1) (+ (* -2 (log (/ 1 x))) (* 2 (log (/ 1 x)))))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
#<alt (+ (* 1/2 (+ (log -1) (+ (* -2 (log (/ 1 x))) (* 2 (log (/ 1 x)))))) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))>
#<alt (* 1/2 (+ (log -1) (+ (* -2 (log (/ -1 x))) (* 2 (log (/ -1 x))))))>
#<alt (+ (* 1/2 (+ (log -1) (+ (* -2 (log (/ -1 x))) (* 2 (log (/ -1 x)))))) (/ 1 x))>
#<alt (+ (* 1/2 (+ (log -1) (+ (* -2 (log (/ -1 x))) (* 2 (log (/ -1 x)))))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (+ (log -1) (+ (* -2 (log (/ -1 x))) (* 2 (log (/ -1 x)))))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))>
#<alt (+ (log -1) (+ (* -2 (log (/ 1 x))) (* 2 (log (/ 1 x)))))>
#<alt (+ (log -1) (+ (* -2 (log (/ 1 x))) (+ (* 2 (log (/ 1 x))) (* 2 (/ 1 x)))))>
#<alt (+ (log -1) (+ (* -2 (log (/ 1 x))) (+ (* 2 (log (/ 1 x))) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))))>
#<alt (+ (log -1) (+ (* -2 (log (/ 1 x))) (+ (* 2 (log (/ 1 x))) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))))>
#<alt (+ (log -1) (+ (* -2 (log (/ -1 x))) (* 2 (log (/ -1 x)))))>
#<alt (+ (log -1) (+ (* -2 (log (/ -1 x))) (+ (* 2 (log (/ -1 x))) (* 2 (/ 1 x)))))>
#<alt (+ (log -1) (+ (* -2 (log (/ -1 x))) (+ (* 2 (log (/ -1 x))) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))))>
#<alt (+ (log -1) (+ (* -2 (log (/ -1 x))) (+ (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)) (* 2 (log (/ -1 x))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* x (+ 1/2 (* -2/3 x)))))>
#<alt (* x (+ 1 (* x (+ 1/2 (* x (- (* 1/4 x) 2/3))))))>
#<alt (* -2 (log (/ 1 x)))>
#<alt (+ (* -2 (log (/ 1 x))) (/ 1 x))>
#<alt (+ (* -2 (log (/ 1 x))) (+ (/ 1/2 (pow x 2)) (/ 1 x)))>
#<alt (- (+ (* -2 (log (/ 1 x))) (+ (/ 1/2 (pow x 2)) (/ 1 x))) (* 2/3 (/ 1 (pow x 3))))>
#<alt (* -2 (log (/ -1 x)))>
#<alt (+ (* -2 (log (/ -1 x))) (/ 1 x))>
#<alt (+ (* -2 (log (/ -1 x))) (+ (/ 1/2 (pow x 2)) (/ 1 x)))>
#<alt (+ (* -2 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- 1/2 (* 2/3 (/ 1 x))) x)) 1) x)))>
#<alt x>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 x))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/5 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* 1/7 (pow x 4))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/7 (pow x 4))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- x 1)))>
#<alt (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))>
#<alt (/ 1 x)>
#<alt (/ (- 1 (/ 1 x)) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (/ 1 x) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 4/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 4/3 (* -1/4 x))) 1/2))))>
#<alt (+ (log -1) (* 2 (log (/ 1 x))))>
#<alt (+ (log -1) (+ (* 2 (log (/ 1 x))) (/ 1 x)))>
#<alt (- (+ (log -1) (+ (* 2 (log (/ 1 x))) (/ 1 x))) (/ 1/2 (pow x 2)))>
#<alt (- (+ (log -1) (+ (* 2 (log (/ 1 x))) (+ (/ 1 x) (* 4/3 (/ 1 (pow x 3)))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* 2 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* 2 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)) (* 2 (log (/ -1 x)))))>
#<alt (+ (log -1) (+ (* -1 (/ (- (* -1 (/ (- (* 4/3 (/ 1 x)) 1/2) x)) 1) x)) (* 2 (log (/ -1 x)))))>
#<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)>

Calls

72 calls:

Time	Variable		Point	Expression
19.0ms	x	@	inf	(* x (+ 1 (* x (* x (+ 1/3 (* x (* x 1/5)))))))
2.0ms	x	@	0	(* (* x x) (+ 1/5 (* x (* x 1/7))))
1.0ms	x	@	0	(* 1/2 (+ (log (+ 1 (* x (+ 1 x)))) (log (/ (+ 1 x) (- 1 (* x (* x x)))))))
1.0ms	x	@	-inf	(* x (+ 1 (* x (* x (+ 1/3 (* x (* x 1/5)))))))
1.0ms	x	@	-inf	(* 1/2 (+ (log (+ 1 (* x (+ 1 x)))) (log (/ (+ 1 x) (- 1 (* x (* x x)))))))

rewrite439.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2396×	`-lowering-.f32`
2396×	`-lowering-.f64`
2368×	`/-lowering-/.f32`
2368×	`/-lowering-/.f64`
2330×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	220
1	258	189
2	2413	179
0	8327	179

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 626

Calls

Call 1

Inputs
(* x (+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))
(+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))
(* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))
(* x x)
(* x (+ 1 (* x (* x (+ 1/3 (* x (* x 1/5)))))))
(+ 1 (* x (* x (+ 1/3 (* x (* x 1/5))))))
(* x (* x (+ 1/3 (* x (* x 1/5)))))
(* x (+ 1/3 (* x (* x 1/5))))
(* 1/2 (log (/ (/ 1 (- 1 x)) (/ 1 (+ 1 x)))))
(log (/ (/ 1 (- 1 x)) (/ 1 (+ 1 x))))
(/ (/ 1 (- 1 x)) (/ 1 (+ 1 x)))
(/ 1 (- 1 x))
(* 1/2 (+ (log (+ 1 (* x (+ 1 x)))) (log (/ (+ 1 x) (- 1 (* x (* x x)))))))
(+ (log (+ 1 (* x (+ 1 x)))) (log (/ (+ 1 x) (- 1 (* x (* x x))))))
(log (+ 1 (* x (+ 1 x))))
(* x (+ 1 x))
(* x 1/7)
(* (* x x) (+ 1/5 (* x (* x 1/7))))
(* x (* x 1/7))
(* x 1/5)
(* x (* x 1/5))
(/ 1 (+ 1 x))
(log (/ (+ 1 x) (- 1 (* x (* x x)))))
(* x (* x x))

Outputs
(+.f64 x (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))) (.f64 x (*.f64 x x))))
(+.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))) (.f64 x (*.f64 x x))) x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))) (.f64 x (.f64 x x))))) (/.f64 (.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))) (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))) (.f64 x (.f64 x x)))) (-.f64 x (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))) (.f64 x (.f64 x x))))))
(fma.f64 x #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))) (.f64 x (*.f64 x x))))
(fma.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))) x)
(fma.f64 #s(literal 1 binary64) x (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))) (.f64 x (*.f64 x x))))
(fma.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))) x)
(fma.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))) (.f64 x (.f64 x x)) x)
(fma.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))) x x)
(fma.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))) x)
(fma.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))) (.f64 x x) x)
(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))) (.f64 x (.f64 x x))) (.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))) (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))) (.f64 x (.f64 x x)))))) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))) (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))) (.f64 x (.f64 x x)))) (.f64 x (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))) (.f64 x (*.f64 x x)))))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))) (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))) (.f64 x (.f64 x x))))) (-.f64 x (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))) (.f64 x (*.f64 x x)))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))) (.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))) (.f64 x (.f64 x x))) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))) #s(literal 1 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))) (.f64 x (.f64 x x))) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))))))
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(/.f64 (-.f64 (.f64 #s(literal 1/25 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/7 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/7 binary64)))))) (-.f64 (.f64 (.f64 x x) #s(literal 1/5 binary64)) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/7 binary64))))))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64))))) (+.f64 #s(literal 1/25 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/7 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 1/7 binary64)) #s(literal 1/5 binary64)))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/49 binary64)))) (-.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1/125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64)))) (.f64 x x)) (+.f64 #s(literal 1/25 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/7 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 1/7 binary64)) #s(literal 1/5 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/49 binary64))) (.f64 x x)) (-.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/125 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (neg.f64 (+.f64 (.f64 #s(literal 1/25 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/7 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/7 binary64))))) (.f64 (.f64 (.f64 x x) #s(literal 1/5 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/7 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/25 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/7 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/7 binary64))))))) (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/5 binary64)) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64)))))) (neg.f64 (+.f64 #s(literal 1/25 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/7 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 1/7 binary64)) #s(literal 1/5 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/49 binary64))))) (neg.f64 (-.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64)))) (.f64 x x))) (neg.f64 (+.f64 #s(literal 1/25 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/7 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 1/7 binary64)) #s(literal 1/5 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/49 binary64))) (.f64 x x))) (neg.f64 (-.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))
(.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))
(.f64 (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))) x)
(.f64 x (.f64 x #s(literal 1/7 binary64)))
(.f64 (.f64 x x) #s(literal 1/7 binary64))
(.f64 #s(literal 1/7 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/7 binary64)) x)
(*.f64 x #s(literal 1/5 binary64))
(*.f64 #s(literal 1/5 binary64) x)
(.f64 x (.f64 x #s(literal 1/5 binary64)))
(.f64 (.f64 x x) #s(literal 1/5 binary64))
(.f64 #s(literal 1/5 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/5 binary64)) x)
(exp.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)))))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64))))) #s(literal -1 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 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))
(+.f64 (log1p.f64 x) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))))
(+.f64 (log.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (log1p.f64 x))
(+.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))))) (log1p.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(+.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (log1p.f64 (.f64 x (*.f64 x x))))
(-.f64 (log1p.f64 x) (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 x #s(literal 1 binary64)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 x #s(literal 1 binary64))))))
(-.f64 (log1p.f64 (.f64 x (.f64 x x))) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64)))))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))) (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)))) (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))))
(-.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64))) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64))) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(-.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))) (log1p.f64 (.f64 x (-.f64 x #s(literal 1 binary64)))))
(-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))) (log.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal 2 binary64)) (.f64 (log1p.f64 x) (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))))) (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal 2 binary64)) (.f64 (log1p.f64 x) (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))) (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal 2 binary64)) (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))))
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 x #s(literal 1 binary64)))))
(neg.f64 (log.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal 2 binary64)) (.f64 (log1p.f64 x) (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal 2 binary64))) (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal 2 binary64)) (.f64 (log1p.f64 x) (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal 2 binary64)))) (neg.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))))
(.f64 #s(literal -1 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) (+.f64 x #s(literal 1 binary64)))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(.f64 x (.f64 x x))
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) x)
(.f64 (.f64 x (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))

simplify281.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

4656×	`+-lowering-+.f64`
4656×	`+-lowering-+.f32`
3400×	`-lowering-.f32`
3400×	`-lowering-.f64`
1868×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	330	2450
1	1111	2300
2	3467	2253
0	8562	2253

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
1
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* 1/5 (pow x 5))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/5 (pow x 5))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
1
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(* 1/5 (pow x 4))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/5 (pow x 4))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(* 1/5 (pow x 4))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* 1/5 (pow x 4))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* 1/3 x)
(* x (+ 1/3 (* 1/5 (pow x 2))))
(* x (+ 1/3 (* 1/5 (pow x 2))))
(* x (+ 1/3 (* 1/5 (pow x 2))))
(* 1/5 (pow x 3))
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* 1/5 (pow x 3))
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
1
(+ 1 x)
(+ 1 (* x (+ 1 x)))
(+ 1 (* x (+ 1 (* x (+ 1 x)))))
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)
(/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) x)
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/2 (+ (log -1) (+ (* -2 (log (/ 1 x))) (* 2 (log (/ 1 x))))))
(+ (* 1/2 (+ (log -1) (+ (* -2 (log (/ 1 x))) (* 2 (log (/ 1 x)))))) (/ 1 x))
(+ (* 1/2 (+ (log -1) (+ (* -2 (log (/ 1 x))) (* 2 (log (/ 1 x)))))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (+ (log -1) (+ (* -2 (log (/ 1 x))) (* 2 (log (/ 1 x)))))) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* 1/2 (+ (log -1) (+ (* -2 (log (/ -1 x))) (* 2 (log (/ -1 x))))))
(+ (* 1/2 (+ (log -1) (+ (* -2 (log (/ -1 x))) (* 2 (log (/ -1 x)))))) (/ 1 x))
(+ (* 1/2 (+ (log -1) (+ (* -2 (log (/ -1 x))) (* 2 (log (/ -1 x)))))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (+ (log -1) (+ (* -2 (log (/ -1 x))) (* 2 (log (/ -1 x)))))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(+ (log -1) (+ (* -2 (log (/ 1 x))) (* 2 (log (/ 1 x)))))
(+ (log -1) (+ (* -2 (log (/ 1 x))) (+ (* 2 (log (/ 1 x))) (* 2 (/ 1 x)))))
(+ (log -1) (+ (* -2 (log (/ 1 x))) (+ (* 2 (log (/ 1 x))) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))))
(+ (log -1) (+ (* -2 (log (/ 1 x))) (+ (* 2 (log (/ 1 x))) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))))
(+ (log -1) (+ (* -2 (log (/ -1 x))) (* 2 (log (/ -1 x)))))
(+ (log -1) (+ (* -2 (log (/ -1 x))) (+ (* 2 (log (/ -1 x))) (* 2 (/ 1 x)))))
(+ (log -1) (+ (* -2 (log (/ -1 x))) (+ (* 2 (log (/ -1 x))) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))))
(+ (log -1) (+ (* -2 (log (/ -1 x))) (+ (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)) (* 2 (log (/ -1 x))))))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* -2/3 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (- (* 1/4 x) 2/3))))))
(* -2 (log (/ 1 x)))
(+ (* -2 (log (/ 1 x))) (/ 1 x))
(+ (* -2 (log (/ 1 x))) (+ (/ 1/2 (pow x 2)) (/ 1 x)))
(- (+ (* -2 (log (/ 1 x))) (+ (/ 1/2 (pow x 2)) (/ 1 x))) (* 2/3 (/ 1 (pow x 3))))
(* -2 (log (/ -1 x)))
(+ (* -2 (log (/ -1 x))) (/ 1 x))
(+ (* -2 (log (/ -1 x))) (+ (/ 1/2 (pow x 2)) (/ 1 x)))
(+ (* -2 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- 1/2 (* 2/3 (/ 1 x))) x)) 1) x)))
x
(* x (+ 1 x))
(* x (+ 1 x))
(* x (+ 1 x))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/5 (pow x 2))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(/ 1 x)
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/ 1 x)
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 4/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 4/3 (* -1/4 x))) 1/2))))
(+ (log -1) (* 2 (log (/ 1 x))))
(+ (log -1) (+ (* 2 (log (/ 1 x))) (/ 1 x)))
(- (+ (log -1) (+ (* 2 (log (/ 1 x))) (/ 1 x))) (/ 1/2 (pow x 2)))
(- (+ (log -1) (+ (* 2 (log (/ 1 x))) (+ (/ 1 x) (* 4/3 (/ 1 (pow x 3)))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* 2 (log (/ -1 x))))
(+ (log -1) (+ (* 2 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)) (* 2 (log (/ -1 x)))))
(+ (log -1) (+ (* -1 (/ (- (* -1 (/ (- (* 4/3 (/ 1 x)) 1/2) x)) 1) x)) (* 2 (log (/ -1 x)))))
(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)

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

eval157.0ms (1.5%)

Compiler: Compiled 27627 to 2653 computations (90.4% saved)

prune103.0ms (1%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	957	1	958
Fresh	0	3	3
Picked	1	4	5
Done	0	1	1
Total	958	9	967

Accuracy

100.0%

Counts

967 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(+.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))) x)
✓	99.6%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))
▶	99.5%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
✓	21.8%	(.f64 #s(literal 1/2 binary64) (+.f64 (log1p.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))))
▶	9.6%	(.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
▶	9.6%	(*.f64 #s(literal 1/2 binary64) (neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
✓	9.6%	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))))
✓	9.7%	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
✓	98.9%	x

Compiler

Compiled 130 to 83 computations (36.2% saved)

simplify199.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))
✓	cost-diff	0	(+.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))) x)
✓	cost-diff	0	(*.f64 x #s(literal 1/3 binary64))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal 1/3 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
✓	cost-diff	0	(log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
✓	cost-diff	128	(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
✓	cost-diff	256	(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
✓	cost-diff	256	(.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
✓	cost-diff	64	(*.f64 #s(literal 1/2 binary64) (neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))

Rules

2358×	`fma-lowering-fma.f32`
2358×	`fma-lowering-fma.f64`
2296×	`sum3-define`
2038×	`fmsub-define`
1888×	`fnmadd-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	28	191
1	92	179
2	215	176
3	524	173
4	872	169
5	1225	169
6	1728	169
7	3082	169
8	5855	169
0	8321	169

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* 1/2 (neg (log (/ (- 1 x) (+ 1 x)))))
1/2
(neg (log (/ (- 1 x) (+ 1 x))))
(log (/ (- 1 x) (+ 1 x)))
(/ (- 1 x) (+ 1 x))
(- 1 x)
1
x
(+ 1 x)
(* 1/2 (+ (log (/ 1 (- 1 (* x x)))) (log (* (+ 1 x) (+ 1 x)))))
1/2
(+ (log (/ 1 (- 1 (* x x)))) (log (* (+ 1 x) (+ 1 x))))
(log (/ 1 (- 1 (* x x))))
(/ 1 (- 1 (* x x)))
1
(- 1 (* x x))
(* x x)
x
(log (* (+ 1 x) (+ 1 x)))
(* (+ 1 x) (+ 1 x))
(+ 1 x)
(* x (+ 1 (* x (* x 1/3))))
x
(+ 1 (* x (* x 1/3)))
1
(* x (* x 1/3))
(* x 1/3)
1/3
(+ (* (* x (* x x)) (+ 1/3 (* (* x x) 1/5))) x)
(* (* x (* x x)) (+ 1/3 (* (* x x) 1/5)))
(* x (* x x))
x
(* x x)
(+ 1/3 (* (* x x) 1/5))
1/3
(* (* x x) 1/5)
1/5

Outputs
(* 1/2 (neg (log (/ (- 1 x) (+ 1 x)))))
(*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64))
1/2
#s(literal 1/2 binary64)
(neg (log (/ (- 1 x) (+ 1 x))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(log (/ (- 1 x) (+ 1 x)))
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(/ (- 1 x) (+ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(* 1/2 (+ (log (/ 1 (- 1 (* x x)))) (log (* (+ 1 x) (+ 1 x)))))
(.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 (.f64 x (+.f64 x #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
1/2
#s(literal 1/2 binary64)
(+ (log (/ 1 (- 1 (* x x)))) (log (* (+ 1 x) (+ 1 x))))
(-.f64 (log1p.f64 (.f64 x (+.f64 x #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))
(log (/ 1 (- 1 (* x x))))
(log.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64))))
(/ 1 (- 1 (* x x)))
(/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(- 1 (* x x))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* x x)
(*.f64 x x)
x
(log (* (+ 1 x) (+ 1 x)))
(log1p.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))))
(* (+ 1 x) (+ 1 x))
(*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (* x (* x 1/3))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64))))
x
(+ 1 (* x (* x 1/3)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64)))
1
#s(literal 1 binary64)
(* x (* x 1/3))
(.f64 (.f64 x x) #s(literal 1/3 binary64))
(* x 1/3)
(*.f64 x #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
(+ (* (* x (* x x)) (+ 1/3 (* (* x x) 1/5))) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))))
(* (* x (* x x)) (+ 1/3 (* (* x x) 1/5)))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))
(* x (* x x))
(.f64 x (.f64 x x))
x
(* x x)
(*.f64 x x)
(+ 1/3 (* (* x x) 1/5))
(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))
1/3
#s(literal 1/3 binary64)
(* (* x x) 1/5)
(.f64 (.f64 x x) #s(literal 1/5 binary64))
1/5
#s(literal 1/5 binary64)

localize515.0ms (4.8%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.9%	(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/5 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/3 binary64)))
✓	accuracy	99.4%	(*.f64 x #s(literal 1/3 binary64))
✓	accuracy	100.0%	(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
✓	accuracy	99.9%	(*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
✓	accuracy	55.5%	(log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
✓	accuracy	9.7%	(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
✓	accuracy	100.0%	(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
✓	accuracy	99.9%	(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
✓	accuracy	9.7%	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))

Results

274.0ms	132×	2	valid
152.0ms	119×	1	valid
2.0ms	5×	0	valid

Compiler

Compiled 204 to 29 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 347.0ms

ival-log: 137.0ms (39.5% of total)

ival-mult: 75.0ms (21.6% of total)

ival-add: 59.0ms (17% of total)

backward-pass: 27.0ms (7.8% of total)

...c/correct-round.rkt:119:19: 15.0ms (4.3% of total)

ival-neg: 15.0ms (4.3% of total)

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

ival-sub: 8.0ms (2.3% of total)

const: 1.0ms (0.3% of total)

series10.0ms (0.1%)

Counts

20 → 240

Calls

Call 1

Inputs
#<alt (* 1/2 (neg (log (/ (- 1 x) (+ 1 x)))))>
#<alt (log (/ (- 1 x) (+ 1 x)))>
#<alt (/ (- 1 x) (+ 1 x))>
#<alt (- 1 x)>
#<alt (* 1/2 (+ (log (/ 1 (- 1 (* x x)))) (log (* (+ 1 x) (+ 1 x)))))>
#<alt (+ (log (/ 1 (- 1 (* x x)))) (log (* (+ 1 x) (+ 1 x))))>
#<alt (log (* (+ 1 x) (+ 1 x)))>
#<alt (log (/ 1 (- 1 (* x x))))>
#<alt (* x (+ 1 (* x (* x 1/3))))>
#<alt (+ 1 (* x (* x 1/3)))>
#<alt (* x (* x 1/3))>
#<alt (* x 1/3)>
#<alt (+ (* (* x (* x x)) (+ 1/3 (* (* x x) 1/5))) x)>
#<alt (* (* x (* x x)) (+ 1/3 (* (* x x) 1/5)))>
#<alt (* x (* x x))>
#<alt (* x x)>
#<alt (neg (log (/ (- 1 x) (+ 1 x))))>
#<alt (* (+ 1 x) (+ 1 x))>
#<alt (* (* x x) 1/5)>
#<alt (+ 1/3 (* (* x x) 1/5))>

Outputs
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* -1/2 (log -1))>
#<alt (+ (* -1/2 (log -1)) (/ 1 x))>
#<alt (+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
#<alt (+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))>
#<alt (* -1/2 (log -1))>
#<alt (+ (* -1/2 (log -1)) (/ 1 x))>
#<alt (+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* -1/2 (log -1)))>
#<alt (* -2 x)>
#<alt (* x (- (* -2/3 (pow x 2)) 2))>
#<alt (* x (- (* (pow x 2) (- (* -2/5 (pow x 2)) 2/3)) 2))>
#<alt (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -2/7 (pow x 2)) 2/5)) 2/3)) 2))>
#<alt (log -1)>
#<alt (- (log -1) (* 2 (/ 1 x)))>
#<alt (+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow x 2)))) x)))>
#<alt (- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 3)))) (* 2 (/ 1 x)))>
#<alt (log -1)>
#<alt (- (log -1) (* 2 (/ 1 x)))>
#<alt (+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow x 2)))) x)))>
#<alt (+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow x 4)) (* 2/3 (/ 1 (pow x 2))))) x)))>
#<alt 1>
#<alt (+ 1 (* -2 x))>
#<alt (+ 1 (* x (- (* 2 x) 2)))>
#<alt (+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))>
#<alt -1>
#<alt (- (* 2 (/ 1 x)) 1)>
#<alt (- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))>
#<alt (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))>
#<alt -1>
#<alt (- (* 2 (/ 1 x)) 1)>
#<alt (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* 1/2 (+ (log -1) (+ (* -2 (log (/ 1 x))) (* 2 (log (/ 1 x))))))>
#<alt (+ (* 1/2 (+ (log -1) (+ (* -2 (log (/ 1 x))) (* 2 (log (/ 1 x)))))) (/ 1 x))>
#<alt (+ (* 1/2 (+ (log -1) (+ (* -2 (log (/ 1 x))) (* 2 (log (/ 1 x)))))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
#<alt (+ (* 1/2 (+ (log -1) (+ (* -2 (log (/ 1 x))) (* 2 (log (/ 1 x)))))) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))>
#<alt (* 1/2 (+ (log -1) (+ (* -2 (log (/ -1 x))) (* 2 (log (/ -1 x))))))>
#<alt (+ (* 1/2 (+ (log -1) (+ (* -2 (log (/ -1 x))) (* 2 (log (/ -1 x)))))) (/ 1 x))>
#<alt (+ (* 1/2 (+ (log -1) (+ (* -2 (log (/ -1 x))) (* 2 (log (/ -1 x)))))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (+ (log -1) (+ (* -2 (log (/ -1 x))) (* 2 (log (/ -1 x)))))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))>
#<alt (+ (log -1) (+ (* -2 (log (/ 1 x))) (* 2 (log (/ 1 x)))))>
#<alt (+ (log -1) (+ (* -2 (log (/ 1 x))) (+ (* 2 (log (/ 1 x))) (* 2 (/ 1 x)))))>
#<alt (+ (log -1) (+ (* -2 (log (/ 1 x))) (+ (* 2 (log (/ 1 x))) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))))>
#<alt (+ (log -1) (+ (* -2 (log (/ 1 x))) (+ (* 2 (log (/ 1 x))) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))))>
#<alt (+ (log -1) (+ (* -2 (log (/ -1 x))) (* 2 (log (/ -1 x)))))>
#<alt (+ (log -1) (+ (* -2 (log (/ -1 x))) (+ (* 2 (log (/ -1 x))) (* 2 (/ 1 x)))))>
#<alt (+ (log -1) (+ (* -2 (log (/ -1 x))) (+ (* 2 (log (/ -1 x))) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))))>
#<alt (+ (log -1) (+ (* -2 (log (/ -1 x))) (+ (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)) (* 2 (log (/ -1 x))))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* -1 x)))>
#<alt (* x (+ 2 (* x (- (* 2/3 x) 1))))>
#<alt (* x (+ 2 (* x (- (* x (+ 2/3 (* -1/2 x))) 1))))>
#<alt (* -2 (log (/ 1 x)))>
#<alt (+ (* -2 (log (/ 1 x))) (* 2 (/ 1 x)))>
#<alt (- (+ (* -2 (log (/ 1 x))) (* 2 (/ 1 x))) (/ 1 (pow x 2)))>
#<alt (- (+ (* -2 (log (/ 1 x))) (+ (* 2 (/ 1 x)) (* 2/3 (/ 1 (pow x 3))))) (/ 1 (pow x 2)))>
#<alt (* -2 (log (/ -1 x)))>
#<alt (+ (* -2 (log (/ -1 x))) (* 2 (/ 1 x)))>
#<alt (+ (* -2 (log (/ -1 x))) (* -1 (/ (- (/ 1 x) 2) x)))>
#<alt (+ (* -2 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 2/3 (/ 1 x)) 1) x)) 2) x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/2 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/3 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/3 (* 1/4 (pow x 2))))))))>
#<alt (+ (log -1) (* 2 (log (/ 1 x))))>
#<alt (+ (log -1) (+ (* 2 (log (/ 1 x))) (/ 1 (pow x 2))))>
#<alt (+ (log -1) (+ (* 2 (log (/ 1 x))) (+ (/ 1/2 (pow x 4)) (/ 1 (pow x 2)))))>
#<alt (+ (log -1) (+ (* 2 (log (/ 1 x))) (+ (/ 1/2 (pow x 4)) (+ (/ 1 (pow x 2)) (* 1/3 (/ 1 (pow x 6)))))))>
#<alt (+ (log -1) (* 2 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* 2 (log (/ -1 x))) (/ 1 (pow x 2))))>
#<alt (+ (log -1) (+ (* 2 (log (/ -1 x))) (+ (/ 1/2 (pow x 4)) (/ 1 (pow x 2)))))>
#<alt (+ (log -1) (+ (* 2 (log (/ -1 x))) (+ (/ 1/2 (pow x 4)) (+ (/ 1 (pow x 2)) (* 1/3 (/ 1 (pow x 6)))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* 1/5 (pow x 5))>
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/5 (pow x 5))>
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* 1/5 (pow x 5))>
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/5 (pow x 5))>
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (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 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))>
#<alt (* -1 (log -1))>
#<alt (- (* 2 (/ 1 x)) (log -1))>
#<alt (- (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))) (log -1))>
#<alt (- (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))) (log -1))>
#<alt (* -1 (log -1))>
#<alt (- (* 2 (/ 1 x)) (log -1))>
#<alt (- (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))) (log -1))>
#<alt (- (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)) (log -1))>
#<alt 1>
#<alt (+ 1 (* 2 x))>
#<alt (+ 1 (* x (+ 2 x)))>
#<alt (+ 1 (* x (+ 2 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/5 (pow x 2)))>
#<alt (+ 1/3 (* 1/5 (pow x 2)))>
#<alt (+ 1/3 (* 1/5 (pow x 2)))>
#<alt (* 1/5 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/5 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>

Calls

60 calls:

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

rewrite414.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3350×	`-lowering-.f32`
3350×	`-lowering-.f64`
3090×	`/-lowering-/.f32`
3090×	`/-lowering-/.f64`
2230×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	149
1	186	126
2	1610	117
0	8710	117

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 838

Calls

Call 1

Inputs
(* 1/2 (neg (log (/ (- 1 x) (+ 1 x)))))
(log (/ (- 1 x) (+ 1 x)))
(/ (- 1 x) (+ 1 x))
(- 1 x)
(* 1/2 (+ (log (/ 1 (- 1 (* x x)))) (log (* (+ 1 x) (+ 1 x)))))
(+ (log (/ 1 (- 1 (* x x)))) (log (* (+ 1 x) (+ 1 x))))
(log (* (+ 1 x) (+ 1 x)))
(log (/ 1 (- 1 (* x x))))
(* x (+ 1 (* x (* x 1/3))))
(+ 1 (* x (* x 1/3)))
(* x (* x 1/3))
(* x 1/3)
(+ (* (* x (* x x)) (+ 1/3 (* (* x x) 1/5))) x)
(* (* x (* x x)) (+ 1/3 (* (* x x) 1/5)))
(* x (* x x))
(* x x)
(neg (log (/ (- 1 x) (+ 1 x))))
(* (+ 1 x) (+ 1 x))
(* (* x x) 1/5)
(+ 1/3 (* (* x x) 1/5))

Outputs
(+.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))))) (.f64 #s(literal 1/2 binary64) (.f64 (log1p.f64 x) #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log1p.f64 x) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))))))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))))) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))))) (.f64 #s(literal 1/2 binary64) (.f64 (log1p.f64 x) #s(literal 2 binary64))))) (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log1p.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))))) (.f64 #s(literal 1/2 binary64) (.f64 (log1p.f64 x) #s(literal 2 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 #s(literal 1/2 binary64) (*.f64 (log1p.f64 x) #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (log1p.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(fma.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 (log1p.f64 x) #s(literal 2 binary64))))
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(/.f64 (+.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64)))) (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 x (+.f64 #s(literal 1 binary64) x)))))) (neg.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (-.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 x (+.f64 #s(literal 1 binary64) x))) (.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 x (+.f64 #s(literal 1 binary64) x))))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) x))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (+.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)))))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log1p.f64 x)) #s(literal 2 binary64))
(.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(*.f64 (exp.f64 (log1p.f64 x)) (exp.f64 (log1p.f64 x)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64))))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64))))))
(.f64 x (.f64 x #s(literal 1/5 binary64)))
(.f64 (.f64 x x) #s(literal 1/5 binary64))
(.f64 #s(literal 1/5 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/5 binary64)) x)
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) #s(literal 1/3 binary64))
(-.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/5 binary64) (.f64 x x)))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/5 binary64) (.f64 x x)))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25 binary64)) (-.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) #s(literal 1/3 binary64))))
(fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 (*.f64 x #s(literal 1/5 binary64)) x #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) #s(literal 1/3 binary64)))) (+.f64 #s(literal 1/27 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 1/125 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/5 binary64) (.f64 x x))) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) #s(literal 1/3 binary64)))) (+.f64 #s(literal 1/27 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 1/125 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/5 binary64) (.f64 x x))) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25 binary64))))))
(/.f64 (+.f64 #s(literal 1/27 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/125 binary64))) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/5 binary64))) #s(literal 1/3 binary64)))))
(/.f64 (+.f64 #s(literal 1/27 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/125 binary64))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/15 binary64) (.f64 x x)))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25 binary64))) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/5 binary64) (.f64 x x))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/27 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/125 binary64)))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/5 binary64))) #s(literal 1/3 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/27 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/125 binary64)))) (neg.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/15 binary64) (.f64 x x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25 binary64)))) (neg.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/5 binary64) (.f64 x x)))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25 binary64)) #s(literal 1/9 binary64)) (-.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) #s(literal 1/3 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/5 binary64) (.f64 x x)))) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/5 binary64) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25 binary64)))) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/5 binary64) (.f64 x x))) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/5 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/27 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/125 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/5 binary64))) #s(literal 1/3 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/5 binary64) (.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25 binary64)) #s(literal 1/9 binary64))) (neg.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) #s(literal 1/3 binary64))))
(pow.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) #s(literal 1/3 binary64)))) (+.f64 #s(literal 1/27 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 1/125 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/5 binary64) (.f64 x x))) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25 binary64)))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1/27 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/125 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) #s(literal 1/3 binary64))))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/5 binary64) (*.f64 x x)))))

simplify306.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

4518×	`+-lowering-+.f64`
4518×	`+-lowering-+.f32`
3092×	`-lowering-.f32`
3092×	`-lowering-.f64`
1802×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	293	1962
1	964	1742
2	3137	1684
0	8381	1684

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* -1/2 (log -1))
(+ (* -1/2 (log -1)) (/ 1 x))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* -1/2 (log -1))
(+ (* -1/2 (log -1)) (/ 1 x))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* -1/2 (log -1)))
(* -2 x)
(* x (- (* -2/3 (pow x 2)) 2))
(* x (- (* (pow x 2) (- (* -2/5 (pow x 2)) 2/3)) 2))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -2/7 (pow x 2)) 2/5)) 2/3)) 2))
(log -1)
(- (log -1) (* 2 (/ 1 x)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow x 2)))) x)))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 3)))) (* 2 (/ 1 x)))
(log -1)
(- (log -1) (* 2 (/ 1 x)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow x 2)))) x)))
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow x 4)) (* 2/3 (/ 1 (pow x 2))))) x)))
1
(+ 1 (* -2 x))
(+ 1 (* x (- (* 2 x) 2)))
(+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))
-1
(- (* 2 (/ 1 x)) 1)
(- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))
(- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))
-1
(- (* 2 (/ 1 x)) 1)
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/2 (+ (log -1) (+ (* -2 (log (/ 1 x))) (* 2 (log (/ 1 x))))))
(+ (* 1/2 (+ (log -1) (+ (* -2 (log (/ 1 x))) (* 2 (log (/ 1 x)))))) (/ 1 x))
(+ (* 1/2 (+ (log -1) (+ (* -2 (log (/ 1 x))) (* 2 (log (/ 1 x)))))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (+ (log -1) (+ (* -2 (log (/ 1 x))) (* 2 (log (/ 1 x)))))) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* 1/2 (+ (log -1) (+ (* -2 (log (/ -1 x))) (* 2 (log (/ -1 x))))))
(+ (* 1/2 (+ (log -1) (+ (* -2 (log (/ -1 x))) (* 2 (log (/ -1 x)))))) (/ 1 x))
(+ (* 1/2 (+ (log -1) (+ (* -2 (log (/ -1 x))) (* 2 (log (/ -1 x)))))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (+ (log -1) (+ (* -2 (log (/ -1 x))) (* 2 (log (/ -1 x)))))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(+ (log -1) (+ (* -2 (log (/ 1 x))) (* 2 (log (/ 1 x)))))
(+ (log -1) (+ (* -2 (log (/ 1 x))) (+ (* 2 (log (/ 1 x))) (* 2 (/ 1 x)))))
(+ (log -1) (+ (* -2 (log (/ 1 x))) (+ (* 2 (log (/ 1 x))) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))))
(+ (log -1) (+ (* -2 (log (/ 1 x))) (+ (* 2 (log (/ 1 x))) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))))
(+ (log -1) (+ (* -2 (log (/ -1 x))) (* 2 (log (/ -1 x)))))
(+ (log -1) (+ (* -2 (log (/ -1 x))) (+ (* 2 (log (/ -1 x))) (* 2 (/ 1 x)))))
(+ (log -1) (+ (* -2 (log (/ -1 x))) (+ (* 2 (log (/ -1 x))) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))))
(+ (log -1) (+ (* -2 (log (/ -1 x))) (+ (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)) (* 2 (log (/ -1 x))))))
(* 2 x)
(* x (+ 2 (* -1 x)))
(* x (+ 2 (* x (- (* 2/3 x) 1))))
(* x (+ 2 (* x (- (* x (+ 2/3 (* -1/2 x))) 1))))
(* -2 (log (/ 1 x)))
(+ (* -2 (log (/ 1 x))) (* 2 (/ 1 x)))
(- (+ (* -2 (log (/ 1 x))) (* 2 (/ 1 x))) (/ 1 (pow x 2)))
(- (+ (* -2 (log (/ 1 x))) (+ (* 2 (/ 1 x)) (* 2/3 (/ 1 (pow x 3))))) (/ 1 (pow x 2)))
(* -2 (log (/ -1 x)))
(+ (* -2 (log (/ -1 x))) (* 2 (/ 1 x)))
(+ (* -2 (log (/ -1 x))) (* -1 (/ (- (/ 1 x) 2) x)))
(+ (* -2 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 2/3 (/ 1 x)) 1) x)) 2) x)))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/2 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/3 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/3 (* 1/4 (pow x 2))))))))
(+ (log -1) (* 2 (log (/ 1 x))))
(+ (log -1) (+ (* 2 (log (/ 1 x))) (/ 1 (pow x 2))))
(+ (log -1) (+ (* 2 (log (/ 1 x))) (+ (/ 1/2 (pow x 4)) (/ 1 (pow x 2)))))
(+ (log -1) (+ (* 2 (log (/ 1 x))) (+ (/ 1/2 (pow x 4)) (+ (/ 1 (pow x 2)) (* 1/3 (/ 1 (pow x 6)))))))
(+ (log -1) (* 2 (log (/ -1 x))))
(+ (log -1) (+ (* 2 (log (/ -1 x))) (/ 1 (pow x 2))))
(+ (log -1) (+ (* 2 (log (/ -1 x))) (+ (/ 1/2 (pow x 4)) (/ 1 (pow x 2)))))
(+ (log -1) (+ (* 2 (log (/ -1 x))) (+ (/ 1/2 (pow x 4)) (+ (/ 1 (pow x 2)) (* 1/3 (/ 1 (pow x 6)))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
1
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* 1/3 (pow x 2)))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* 1/5 (pow x 5))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/5 (pow x 5))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (* 1/5 (pow x 2))))
(* (pow x 3) (+ 1/3 (* 1/5 (pow x 2))))
(* (pow x 3) (+ 1/3 (* 1/5 (pow x 2))))
(* 1/5 (pow x 5))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* 1/5 (pow x 5))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (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 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(* -1 (log -1))
(- (* 2 (/ 1 x)) (log -1))
(- (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))) (log -1))
(- (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))) (log -1))
(* -1 (log -1))
(- (* 2 (/ 1 x)) (log -1))
(- (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))) (log -1))
(- (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)) (log -1))
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 x)))
(+ 1 (* x (+ 2 x)))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
1/3
(+ 1/3 (* 1/5 (pow x 2)))
(+ 1/3 (* 1/5 (pow x 2)))
(+ 1/3 (* 1/5 (pow x 2)))
(* 1/5 (pow x 2))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* 1/5 (pow x 2))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))

Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64)))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64))))))))))
(* -1/2 (log -1))
(*.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64)))
(+ (* -1/2 (log -1)) (/ 1 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f64 (.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(+.f64 (.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))) (/.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 5 binary64))))))
(* -1/2 (log -1))
(*.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64)))
(+ (* -1/2 (log -1)) (/ 1 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f64 (.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* -1/2 (log -1)))
(-.f64 (.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/5 binary64) (.f64 x x))) (*.f64 x x))) x))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* x (- (* -2/3 (pow x 2)) 2))
(.f64 x (+.f64 #s(literal -2 binary64) (.f64 x (*.f64 x #s(literal -2/3 binary64)))))
(* x (- (* (pow x 2) (- (* -2/5 (pow x 2)) 2/3)) 2))
(.f64 x (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2/3 binary64) (.f64 (*.f64 x x) #s(literal -2/5 binary64))))))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -2/7 (pow x 2)) 2/5)) 2/3)) 2))
(.f64 x (+.f64 #s(literal -2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2/5 binary64) (.f64 (*.f64 x x) #s(literal -2/7 binary64)))))))))
(log -1)
(log.f64 #s(literal -1 binary64))
(- (log -1) (* 2 (/ 1 x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) x))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow x 2)))) x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) x))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 3)))) (* 2 (/ 1 x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -2/5 binary64) (.f64 x x))) (.f64 x x))) x))
(log -1)
(log.f64 #s(literal -1 binary64))
(- (log -1) (* 2 (/ 1 x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) x))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow x 2)))) x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) x))
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow x 4)) (* 2/3 (/ 1 (pow x 2))))) x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 x x))) (/.f64 #s(literal 2/5 binary64) (.f64 (.f64 x x) (.f64 x x)))) x))
1
#s(literal 1 binary64)
(+ 1 (* -2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64)))
(+ 1 (* x (- (* 2 x) 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (.f64 x #s(literal 2 binary64)))))
(+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))))))
-1
#s(literal -1 binary64)
(- (* 2 (/ 1 x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))
(-.f64 (/.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x) x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
-1
#s(literal -1 binary64)
(- (* 2 (/ 1 x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64)))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64))))))))))
(* 1/2 (+ (log -1) (+ (* -2 (log (/ 1 x))) (* 2 (log (/ 1 x))))))
(*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))
(+ (* 1/2 (+ (log -1) (+ (* -2 (log (/ 1 x))) (* 2 (log (/ 1 x)))))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ (log -1) (+ (* -2 (log (/ 1 x))) (* 2 (log (/ 1 x)))))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(+ (* 1/2 (+ (log -1) (+ (* -2 (log (/ 1 x))) (* 2 (log (/ 1 x)))))) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))) (/.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 5 binary64))))))
(* 1/2 (+ (log -1) (+ (* -2 (log (/ -1 x))) (* 2 (log (/ -1 x))))))
(*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))
(+ (* 1/2 (+ (log -1) (+ (* -2 (log (/ -1 x))) (* 2 (log (/ -1 x)))))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ (log -1) (+ (* -2 (log (/ -1 x))) (* 2 (log (/ -1 x)))))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (+ (log -1) (+ (* -2 (log (/ -1 x))) (* 2 (log (/ -1 x)))))))
(-.f64 (.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/5 binary64) (.f64 x x))) (*.f64 x x))) x))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 2/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (*.f64 x #s(literal 2/5 binary64)))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/5 binary64) (.f64 x (*.f64 x #s(literal 2/7 binary64)))))))))
(+ (log -1) (+ (* -2 (log (/ 1 x))) (* 2 (log (/ 1 x)))))
(log.f64 #s(literal -1 binary64))
(+ (log -1) (+ (* -2 (log (/ 1 x))) (+ (* 2 (log (/ 1 x))) (* 2 (/ 1 x)))))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) x))
(+ (log -1) (+ (* -2 (log (/ 1 x))) (+ (* 2 (log (/ 1 x))) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))))
(+.f64 (/.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x x))) (+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) x)))
(+ (log -1) (+ (* -2 (log (/ 1 x))) (+ (* 2 (log (/ 1 x))) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2/5 binary64) (pow.f64 x #s(literal 5 binary64))))))
(+ (log -1) (+ (* -2 (log (/ -1 x))) (* 2 (log (/ -1 x)))))
(log.f64 #s(literal -1 binary64))
(+ (log -1) (+ (* -2 (log (/ -1 x))) (+ (* 2 (log (/ -1 x))) (* 2 (/ 1 x)))))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) x))
(+ (log -1) (+ (* -2 (log (/ -1 x))) (+ (* 2 (log (/ -1 x))) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))))
(+.f64 (/.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x x))) (+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) x)))
(+ (log -1) (+ (* -2 (log (/ -1 x))) (+ (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)) (* 2 (log (/ -1 x))))))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -2/5 binary64) (.f64 x x))) (.f64 x x))) x))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* -1 x)))
(*.f64 x (-.f64 #s(literal 2 binary64) x))
(* x (+ 2 (* x (- (* 2/3 x) 1))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 2/3 binary64))))))
(* x (+ 2 (* x (- (* x (+ 2/3 (* -1/2 x))) 1))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x #s(literal -1/2 binary64))))))))
(* -2 (log (/ 1 x)))
(*.f64 #s(literal 2 binary64) (log.f64 x))
(+ (* -2 (log (/ 1 x))) (* 2 (/ 1 x)))
(+.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(- (+ (* -2 (log (/ 1 x))) (* 2 (/ 1 x))) (/ 1 (pow x 2)))
(+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) x)) x) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(- (+ (* -2 (log (/ 1 x))) (+ (* 2 (/ 1 x)) (* 2/3 (/ 1 (pow x 3))))) (/ 1 (pow x 2)))
(+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2/3 binary64) x)) x) x)))
(* -2 (log (/ -1 x)))
(*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (* -2 (log (/ -1 x))) (* 2 (/ 1 x)))
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(*.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
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(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
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(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
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(* 1/5 (pow x 5))
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(* 1/3 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64))))
(* (pow x 3) (+ 1/3 (* 1/5 (pow x 2))))
(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64))))))
(* (pow x 3) (+ 1/3 (* 1/5 (pow x 2))))
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(* (pow x 3) (+ 1/3 (* 1/5 (pow x 2))))
(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64))))))
(* 1/5 (pow x 5))
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(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
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(* 1/5 (pow x 5))
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(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
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(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
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(pow x 3)
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(pow x 3)
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(- (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))) (log -1))
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(* -1 (log -1))
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(- (* 2 (/ 1 x)) (log -1))
(-.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))) (log -1))
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1
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(+ 1 (* x (+ 2 x)))
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(+ 1 (* x (+ 2 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 2 binary64))))
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(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
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(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
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(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
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(* 1/5 (pow x 2))
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1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/5 (pow x 2)))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64))))
(+ 1/3 (* 1/5 (pow x 2)))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64))))
(+ 1/3 (* 1/5 (pow x 2)))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64))))
(* 1/5 (pow x 2))
(.f64 x (.f64 x #s(literal 1/5 binary64)))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64))))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64))))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64))))
(* 1/5 (pow x 2))
(.f64 x (.f64 x #s(literal 1/5 binary64)))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64))))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64))))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64))))

eval172.0ms (1.6%)

Compiler: Compiled 35330 to 4025 computations (88.6% saved)

prune207.0ms (1.9%)

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	1118	4	1122
Fresh	0	0	0
Picked	2	2	4
Done	1	4	5
Total	1121	10	1131

Accuracy

100.0%

Counts

1131 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(+.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))) x)
▶	99.5%	(+.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 1/3 binary64)) x)
✓	99.6%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))
✓	99.5%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
▶	9.6%	(*.f64 #s(literal 1/2 binary64) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))))
▶	9.6%	(*.f64 #s(literal 1/2 binary64) (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x))))))
✓	9.6%	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))))
✓	9.7%	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
▶	9.6%	(*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
✓	98.9%	x

Compiler

Compiled 127 to 83 computations (34.6% saved)

simplify110.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(.f64 (.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
✓	cost-diff	0	(+.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 1/3 binary64)) x)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
✓	cost-diff	128	(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
✓	cost-diff	192	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
✓	cost-diff	192	(*.f64 #s(literal 1/2 binary64) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))))
✓	cost-diff	256	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
✓	cost-diff	256	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x))))
✓	cost-diff	320	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))))
✓	cost-diff	320	(*.f64 #s(literal 1/2 binary64) (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x))))))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))

Rules

1580×	`fnmadd-define`
1368×	`fma-define`
1266×	`sum3-define`
1070×	`fmsub-define`
1058×	`fnmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	152
1	59	152
2	113	150
3	203	150
4	345	150
5	583	150
6	1099	150
7	1427	150
8	2258	150
9	3527	150
10	4636	150
11	5472	150
12	5505	150
13	5505	150
0	5505	150

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* -1/2 (log (/ (- 1 x) (+ 1 x))))
-1/2
(log (/ (- 1 x) (+ 1 x)))
(/ (- 1 x) (+ 1 x))
(- 1 x)
1
x
(+ 1 x)
(* 1/2 (neg (log (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))))
1/2
(neg (log (- (/ 1 (+ 1 x)) (/ x (+ 1 x)))))
(log (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))
(- (/ 1 (+ 1 x)) (/ x (+ 1 x)))
(/ 1 (+ 1 x))
1
(+ 1 x)
x
(/ x (+ 1 x))
(* 1/2 (neg (log (/ 1 (/ (+ 1 x) (- 1 x))))))
1/2
(neg (log (/ 1 (/ (+ 1 x) (- 1 x)))))
(log (/ 1 (/ (+ 1 x) (- 1 x))))
(/ 1 (/ (+ 1 x) (- 1 x)))
1
(/ (+ 1 x) (- 1 x))
(+ 1 x)
x
(- 1 x)
(+ (* (* x (* x x)) 1/3) x)
(* (* x (* x x)) 1/3)
(* x (* x x))
x
(* x x)
1/3

Outputs
(* -1/2 (log (/ (- 1 x) (+ 1 x))))
(*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
-1/2
#s(literal -1/2 binary64)
(log (/ (- 1 x) (+ 1 x)))
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(/ (- 1 x) (+ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(* 1/2 (neg (log (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))))
(*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
1/2
#s(literal 1/2 binary64)
(neg (log (- (/ 1 (+ 1 x)) (/ x (+ 1 x)))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(log (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(- (/ 1 (+ 1 x)) (/ x (+ 1 x)))
(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
(/ 1 (+ 1 x))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
x
(/ x (+ 1 x))
(/.f64 x (+.f64 #s(literal 1 binary64) x))
(* 1/2 (neg (log (/ 1 (/ (+ 1 x) (- 1 x))))))
(*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
1/2
#s(literal 1/2 binary64)
(neg (log (/ 1 (/ (+ 1 x) (- 1 x)))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(log (/ 1 (/ (+ 1 x) (- 1 x))))
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(/ 1 (/ (+ 1 x) (- 1 x)))
(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(/ (+ 1 x) (- 1 x))
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
x
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(+ (* (* x (* x x)) 1/3) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(* (* x (* x x)) 1/3)
(.f64 (.f64 x x) (*.f64 x #s(literal 1/3 binary64)))
(* x (* x x))
(.f64 x (.f64 x x))
x
(* x x)
(*.f64 x x)
1/3
#s(literal 1/3 binary64)

localize346.0ms (3.2%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 1/3 binary64)) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.9%	(.f64 (.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
✓	accuracy	100.0%	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
✓	accuracy	9.7%	(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(/.f64 x (+.f64 #s(literal 1 binary64) x))
✓	accuracy	99.9%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
✓	accuracy	9.7%	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
✓	accuracy	99.9%	(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
✓	accuracy	9.7%	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))

Results

217.0ms	180×	1	valid
81.0ms	65×	2	valid
3.0ms	11×	0	valid

Compiler

Compiled 188 to 26 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 215.0ms

ival-log: 108.0ms (50.2% of total)

...c/correct-round.rkt:119:19: 24.0ms (11.1% of total)

ival-mult: 24.0ms (11.1% of total)

ival-div: 22.0ms (10.2% of total)

backward-pass: 15.0ms (7% of total)

ival-sub: 10.0ms (4.6% of total)

ival-neg: 6.0ms (2.8% of total)

ival-add: 6.0ms (2.8% of total)

const: 1.0ms (0.5% of total)

series5.0ms (0%)

Counts

20 → 240

Calls

Call 1

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

Outputs
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* -1/2 (log -1))>
#<alt (+ (* -1/2 (log -1)) (/ 1 x))>
#<alt (+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
#<alt (+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))>
#<alt (* -1/2 (log -1))>
#<alt (+ (* -1/2 (log -1)) (/ 1 x))>
#<alt (+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* -1/2 (log -1)))>
#<alt (* -2 x)>
#<alt (* x (- (* -2/3 (pow x 2)) 2))>
#<alt (* x (- (* (pow x 2) (- (* -2/5 (pow x 2)) 2/3)) 2))>
#<alt (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -2/7 (pow x 2)) 2/5)) 2/3)) 2))>
#<alt (log -1)>
#<alt (- (log -1) (* 2 (/ 1 x)))>
#<alt (+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow x 2)))) x)))>
#<alt (- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 3)))) (* 2 (/ 1 x)))>
#<alt (log -1)>
#<alt (- (log -1) (* 2 (/ 1 x)))>
#<alt (+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow x 2)))) x)))>
#<alt (+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow x 4)) (* 2/3 (/ 1 (pow x 2))))) x)))>
#<alt 1>
#<alt (+ 1 (* -2 x))>
#<alt (+ 1 (* x (- (* 2 x) 2)))>
#<alt (+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))>
#<alt -1>
#<alt (- (* 2 (/ 1 x)) 1)>
#<alt (- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))>
#<alt (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))>
#<alt -1>
#<alt (- (* 2 (/ 1 x)) 1)>
#<alt (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* -1/2 (log -1))>
#<alt (+ (* -1/2 (log -1)) (/ 1 x))>
#<alt (+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
#<alt (+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))>
#<alt (* -1/2 (log -1))>
#<alt (+ (* -1/2 (log -1)) (/ 1 x))>
#<alt (+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* -1/2 (log -1)))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))>
#<alt (* -1 (log -1))>
#<alt (- (* 2 (/ 1 x)) (log -1))>
#<alt (- (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))) (log -1))>
#<alt (- (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))) (log -1))>
#<alt (* -1 (log -1))>
#<alt (- (* 2 (/ 1 x)) (log -1))>
#<alt (- (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))) (log -1))>
#<alt (- (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)) (log -1))>
#<alt (* -2 x)>
#<alt (* x (- (* -2/3 (pow x 2)) 2))>
#<alt (* x (- (* (pow x 2) (- (* -2/5 (pow x 2)) 2/3)) 2))>
#<alt (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -2/7 (pow x 2)) 2/5)) 2/3)) 2))>
#<alt (log -1)>
#<alt (- (log -1) (* 2 (/ 1 x)))>
#<alt (+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow x 2)))) x)))>
#<alt (- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 3)))) (* 2 (/ 1 x)))>
#<alt (log -1)>
#<alt (- (log -1) (* 2 (/ 1 x)))>
#<alt (+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow x 2)))) x)))>
#<alt (+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow x 4)) (* 2/3 (/ 1 (pow x 2))))) x)))>
#<alt 1>
#<alt (+ 1 (* -2 x))>
#<alt (+ 1 (* x (- (* 2 x) 2)))>
#<alt (+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))>
#<alt -1>
#<alt (- (* 2 (/ 1 x)) 1)>
#<alt (- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))>
#<alt (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))>
#<alt -1>
#<alt (- (* 2 (/ 1 x)) 1)>
#<alt (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* -1/2 (log -1))>
#<alt (+ (* -1/2 (log -1)) (/ 1 x))>
#<alt (+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
#<alt (+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))>
#<alt (* -1/2 (log -1))>
#<alt (+ (* -1/2 (log -1)) (/ 1 x))>
#<alt (+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* -1/2 (log -1)))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))>
#<alt (* -1 (log -1))>
#<alt (- (* 2 (/ 1 x)) (log -1))>
#<alt (- (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))) (log -1))>
#<alt (- (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))) (log -1))>
#<alt (* -1 (log -1))>
#<alt (- (* 2 (/ 1 x)) (log -1))>
#<alt (- (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))) (log -1))>
#<alt (- (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)) (log -1))>
#<alt (* -2 x)>
#<alt (* x (- (* -2/3 (pow x 2)) 2))>
#<alt (* x (- (* (pow x 2) (- (* -2/5 (pow x 2)) 2/3)) 2))>
#<alt (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -2/7 (pow x 2)) 2/5)) 2/3)) 2))>
#<alt (log -1)>
#<alt (- (log -1) (* 2 (/ 1 x)))>
#<alt (+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow x 2)))) x)))>
#<alt (- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 3)))) (* 2 (/ 1 x)))>
#<alt (log -1)>
#<alt (- (log -1) (* 2 (/ 1 x)))>
#<alt (+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow x 2)))) x)))>
#<alt (+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow x 4)) (* 2/3 (/ 1 (pow x 2))))) x)))>
#<alt 1>
#<alt (+ 1 (* -2 x))>
#<alt (+ 1 (* x (- (* 2 x) 2)))>
#<alt (+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))>
#<alt -1>
#<alt (- (* 2 (/ 1 x)) 1)>
#<alt (- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))>
#<alt (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))>
#<alt -1>
#<alt (- (* 2 (/ 1 x)) 1)>
#<alt (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (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 (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (* -1 x)))>
#<alt (* x (+ 1 (* x (- x 1))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))>
#<alt (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- x 1)))>
#<alt (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))>
#<alt (/ 1 x)>
#<alt (/ (- 1 (/ 1 x)) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (/ 1 x) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))>
#<alt 1>
#<alt (+ 1 (* 2 x))>
#<alt (+ 1 (* x (+ 2 (* 2 x))))>
#<alt (+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)>
#<alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)>

Calls

60 calls:

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

rewrite562.0ms (5.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3846×	`/-lowering-/.f32`
3846×	`/-lowering-/.f64`
3772×	`-lowering-.f32`
3772×	`-lowering-.f64`
2160×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	130
1	136	114
2	1153	114
0	8505	114

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 2216

Calls

Call 1

Inputs
(* -1/2 (log (/ (- 1 x) (+ 1 x))))
(log (/ (- 1 x) (+ 1 x)))
(/ (- 1 x) (+ 1 x))
(- 1 x)
(* 1/2 (neg (log (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))))
(neg (log (- (/ 1 (+ 1 x)) (/ x (+ 1 x)))))
(log (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))
(- (/ 1 (+ 1 x)) (/ x (+ 1 x)))
(* 1/2 (neg (log (/ 1 (/ (+ 1 x) (- 1 x))))))
(neg (log (/ 1 (/ (+ 1 x) (- 1 x)))))
(log (/ 1 (/ (+ 1 x) (- 1 x))))
(/ 1 (/ (+ 1 x) (- 1 x)))
(+ (* (* x (* x x)) 1/3) x)
(* (* x (* x x)) 1/3)
(* x (* x x))
(* x x)
(+ 1 x)
(/ x (+ 1 x))
(/ 1 (+ 1 x))
(/ (+ 1 x) (- 1 x))

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

simplify272.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

2574×	`-lowering-.f32`
2574×	`-lowering-.f64`
1962×	`fma-lowering-fma.f32`
1962×	`fma-lowering-fma.f64`
1946×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	212	1855
1	663	1715
2	1831	1660
3	5237	1655
0	8098	1655

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* -1/2 (log -1))
(+ (* -1/2 (log -1)) (/ 1 x))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* -1/2 (log -1))
(+ (* -1/2 (log -1)) (/ 1 x))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* -1/2 (log -1)))
(* -2 x)
(* x (- (* -2/3 (pow x 2)) 2))
(* x (- (* (pow x 2) (- (* -2/5 (pow x 2)) 2/3)) 2))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -2/7 (pow x 2)) 2/5)) 2/3)) 2))
(log -1)
(- (log -1) (* 2 (/ 1 x)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow x 2)))) x)))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 3)))) (* 2 (/ 1 x)))
(log -1)
(- (log -1) (* 2 (/ 1 x)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow x 2)))) x)))
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow x 4)) (* 2/3 (/ 1 (pow x 2))))) x)))
1
(+ 1 (* -2 x))
(+ 1 (* x (- (* 2 x) 2)))
(+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))
-1
(- (* 2 (/ 1 x)) 1)
(- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))
(- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))
-1
(- (* 2 (/ 1 x)) 1)
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* -1/2 (log -1))
(+ (* -1/2 (log -1)) (/ 1 x))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* -1/2 (log -1))
(+ (* -1/2 (log -1)) (/ 1 x))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* -1/2 (log -1)))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(* -1 (log -1))
(- (* 2 (/ 1 x)) (log -1))
(- (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))) (log -1))
(- (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))) (log -1))
(* -1 (log -1))
(- (* 2 (/ 1 x)) (log -1))
(- (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))) (log -1))
(- (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)) (log -1))
(* -2 x)
(* x (- (* -2/3 (pow x 2)) 2))
(* x (- (* (pow x 2) (- (* -2/5 (pow x 2)) 2/3)) 2))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -2/7 (pow x 2)) 2/5)) 2/3)) 2))
(log -1)
(- (log -1) (* 2 (/ 1 x)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow x 2)))) x)))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 3)))) (* 2 (/ 1 x)))
(log -1)
(- (log -1) (* 2 (/ 1 x)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow x 2)))) x)))
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow x 4)) (* 2/3 (/ 1 (pow x 2))))) x)))
1
(+ 1 (* -2 x))
(+ 1 (* x (- (* 2 x) 2)))
(+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))
-1
(- (* 2 (/ 1 x)) 1)
(- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))
(- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))
-1
(- (* 2 (/ 1 x)) 1)
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* -1/2 (log -1))
(+ (* -1/2 (log -1)) (/ 1 x))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* -1/2 (log -1))
(+ (* -1/2 (log -1)) (/ 1 x))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* -1/2 (log -1)))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(* -1 (log -1))
(- (* 2 (/ 1 x)) (log -1))
(- (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))) (log -1))
(- (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))) (log -1))
(* -1 (log -1))
(- (* 2 (/ 1 x)) (log -1))
(- (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))) (log -1))
(- (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)) (log -1))
(* -2 x)
(* x (- (* -2/3 (pow x 2)) 2))
(* x (- (* (pow x 2) (- (* -2/5 (pow x 2)) 2/3)) 2))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -2/7 (pow x 2)) 2/5)) 2/3)) 2))
(log -1)
(- (log -1) (* 2 (/ 1 x)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow x 2)))) x)))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 3)))) (* 2 (/ 1 x)))
(log -1)
(- (log -1) (* 2 (/ 1 x)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow x 2)))) x)))
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow x 4)) (* 2/3 (/ 1 (pow x 2))))) x)))
1
(+ 1 (* -2 x))
(+ 1 (* x (- (* 2 x) 2)))
(+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))
-1
(- (* 2 (/ 1 x)) 1)
(- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))
(- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))
-1
(- (* 2 (/ 1 x)) 1)
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (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)
(pow x 3)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (* -1 x)))
(* x (+ 1 (* x (- x 1))))
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
1
(- 1 (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))
1
(- 1 (/ 1 x))
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(/ 1 x)
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/ 1 x)
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)

Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64)))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))
(* -1/2 (log -1))
(*.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64)))
(+ (* -1/2 (log -1)) (/ 1 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f64 (.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(+.f64 (.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/5 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x)))))
(* -1/2 (log -1))
(*.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64)))
(+ (* -1/2 (log -1)) (/ 1 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f64 (.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* -1/2 (log -1)))
(+.f64 (.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/5 binary64) (.f64 x x))) (*.f64 x x))) x))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* x (- (* -2/3 (pow x 2)) 2))
(.f64 x (+.f64 #s(literal -2 binary64) (.f64 (*.f64 x x) #s(literal -2/3 binary64))))
(* x (- (* (pow x 2) (- (* -2/5 (pow x 2)) 2/3)) 2))
(.f64 x (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2/3 binary64) (.f64 (*.f64 x x) #s(literal -2/5 binary64))))))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -2/7 (pow x 2)) 2/5)) 2/3)) 2))
(.f64 x (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2/5 binary64) (.f64 (*.f64 x x) #s(literal -2/7 binary64))))))))
(log -1)
(log.f64 #s(literal -1 binary64))
(- (log -1) (* 2 (/ 1 x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) x))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow x 2)))) x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2/3 binary64) (*.f64 x x))) x))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 3)))) (* 2 (/ 1 x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 2/5 binary64) (.f64 x x))) (.f64 x x))) x))
(log -1)
(log.f64 #s(literal -1 binary64))
(- (log -1) (* 2 (/ 1 x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) x))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow x 2)))) x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2/3 binary64) (*.f64 x x))) x))
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow x 4)) (* 2/3 (/ 1 (pow x 2))))) x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2/5 binary64) (.f64 x (.f64 x (.f64 x x)))))) x))
1
#s(literal 1 binary64)
(+ 1 (* -2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64)))
(+ 1 (* x (- (* 2 x) 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (.f64 x #s(literal 2 binary64)))))
(+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))))))
-1
#s(literal -1 binary64)
(- (* 2 (/ 1 x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x))
(- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))
(-.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))
-1
#s(literal -1 binary64)
(- (* 2 (/ 1 x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x))
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x)) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64)))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))
(* -1/2 (log -1))
(*.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64)))
(+ (* -1/2 (log -1)) (/ 1 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f64 (.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(+.f64 (.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/5 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x)))))
(* -1/2 (log -1))
(*.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64)))
(+ (* -1/2 (log -1)) (/ 1 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f64 (.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* -1/2 (log -1)))
(+.f64 (.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/5 binary64) (.f64 x x))) (*.f64 x x))) x))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 2/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 2/3 binary64))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 2/5 binary64)))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/5 binary64) (.f64 (*.f64 x x) #s(literal 2/7 binary64)))))))))
(* -1 (log -1))
(-.f64 #s(literal 0 binary64) (log.f64 #s(literal -1 binary64)))
(- (* 2 (/ 1 x)) (log -1))
(-.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))) (log -1))
(+.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x x))))
(- (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))) (log -1))
(+.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 2/5 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) x))))
(* -1 (log -1))
(-.f64 #s(literal 0 binary64) (log.f64 #s(literal -1 binary64)))
(- (* 2 (/ 1 x)) (log -1))
(-.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))) (log -1))
(+.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x x))))
(- (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)) (log -1))
(-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -2/5 binary64) (.f64 x x))) (.f64 x x))) x) (log.f64 #s(literal -1 binary64)))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* x (- (* -2/3 (pow x 2)) 2))
(.f64 x (+.f64 #s(literal -2 binary64) (.f64 (*.f64 x x) #s(literal -2/3 binary64))))
(* x (- (* (pow x 2) (- (* -2/5 (pow x 2)) 2/3)) 2))
(.f64 x (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2/3 binary64) (.f64 (*.f64 x x) #s(literal -2/5 binary64))))))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -2/7 (pow x 2)) 2/5)) 2/3)) 2))
(.f64 x (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2/5 binary64) (.f64 (*.f64 x x) #s(literal -2/7 binary64))))))))
(log -1)
(log.f64 #s(literal -1 binary64))
(- (log -1) (* 2 (/ 1 x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) x))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow x 2)))) x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2/3 binary64) (*.f64 x x))) x))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 3)))) (* 2 (/ 1 x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 2/5 binary64) (.f64 x x))) (.f64 x x))) x))
(log -1)
(log.f64 #s(literal -1 binary64))
(- (log -1) (* 2 (/ 1 x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) x))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow x 2)))) x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2/3 binary64) (*.f64 x x))) x))
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow x 4)) (* 2/3 (/ 1 (pow x 2))))) x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2/5 binary64) (.f64 x (.f64 x (.f64 x x)))))) x))
1
#s(literal 1 binary64)
(+ 1 (* -2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64)))
(+ 1 (* x (- (* 2 x) 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (.f64 x #s(literal 2 binary64)))))
(+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))))))
-1
#s(literal -1 binary64)
(- (* 2 (/ 1 x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x))
(- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))
(-.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))
-1
#s(literal -1 binary64)
(- (* 2 (/ 1 x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x))
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x)) x))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64)))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))
(* -1/2 (log -1))
(*.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64)))
(+ (* -1/2 (log -1)) (/ 1 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f64 (.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(+.f64 (.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/5 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x)))))
(* -1/2 (log -1))
(*.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64)))
(+ (* -1/2 (log -1)) (/ 1 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f64 (.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* -1/2 (log -1)))
(+.f64 (.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/5 binary64) (.f64 x x))) (*.f64 x x))) x))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 2/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 2/3 binary64))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 2/5 binary64)))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/5 binary64) (.f64 (*.f64 x x) #s(literal 2/7 binary64)))))))))
(* -1 (log -1))
(-.f64 #s(literal 0 binary64) (log.f64 #s(literal -1 binary64)))
(- (* 2 (/ 1 x)) (log -1))
(-.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))) (log -1))
(+.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x x))))
(- (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))) (log -1))
(+.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 2/5 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) x))))
(* -1 (log -1))
(-.f64 #s(literal 0 binary64) (log.f64 #s(literal -1 binary64)))
(- (* 2 (/ 1 x)) (log -1))
(-.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))) (log -1))
(+.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x x))))
(- (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)) (log -1))
(-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -2/5 binary64) (.f64 x x))) (.f64 x x))) x) (log.f64 #s(literal -1 binary64)))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* x (- (* -2/3 (pow x 2)) 2))
(.f64 x (+.f64 #s(literal -2 binary64) (.f64 (*.f64 x x) #s(literal -2/3 binary64))))
(* x (- (* (pow x 2) (- (* -2/5 (pow x 2)) 2/3)) 2))
(.f64 x (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2/3 binary64) (.f64 (*.f64 x x) #s(literal -2/5 binary64))))))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -2/7 (pow x 2)) 2/5)) 2/3)) 2))
(.f64 x (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2/5 binary64) (.f64 (*.f64 x x) #s(literal -2/7 binary64))))))))
(log -1)
(log.f64 #s(literal -1 binary64))
(- (log -1) (* 2 (/ 1 x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) x))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow x 2)))) x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2/3 binary64) (*.f64 x x))) x))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 3)))) (* 2 (/ 1 x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 2/5 binary64) (.f64 x x))) (.f64 x x))) x))
(log -1)
(log.f64 #s(literal -1 binary64))
(- (log -1) (* 2 (/ 1 x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) x))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow x 2)))) x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2/3 binary64) (*.f64 x x))) x))
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow x 4)) (* 2/3 (/ 1 (pow x 2))))) x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2/5 binary64) (.f64 x (.f64 x (.f64 x x)))))) x))
1
#s(literal 1 binary64)
(+ 1 (* -2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64)))
(+ 1 (* x (- (* 2 x) 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (.f64 x #s(literal 2 binary64)))))
(+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))))))
-1
#s(literal -1 binary64)
(- (* 2 (/ 1 x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x))
(- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))
(-.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))
-1
#s(literal -1 binary64)
(- (* 2 (/ 1 x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x))
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x)) x))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* 1/3 (pow x 3))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* 1/3 (pow x 3))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* 1/3 (pow x 3))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(* 1/3 (pow x 3))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(* 1/3 (pow x 3))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(* 1/3 (pow x 3))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(* 1/3 (pow x 3))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(* 1/3 (pow x 3))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(* 1/3 (pow x 3))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(* 1/3 (pow x 3))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(* 1/3 (pow x 3))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(* 1/3 (pow x 3))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(* 1/3 (pow x 3))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(* 1/3 (pow x 3))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (* -1 x)))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(* x (+ 1 (* x (- x 1))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64)))))
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))))))
1
#s(literal 1 binary64)
(- 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))
1
#s(literal 1 binary64)
(- 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- x 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) x)))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (/ 1 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (/ 1 x) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) x)
1
#s(literal 1 binary64)
(+ 1 (* 2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))
(+ 1 (* x (+ 2 (* 2 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64)))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))))))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(+.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) x))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) x)) x))

eval526.0ms (4.9%)

Compiler: Compiled 81833 to 8298 computations (89.9% saved)

prune270.0ms (2.5%)

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	2711	2	2713
Fresh	0	0	0
Picked	2	2	4
Done	1	5	6
Total	2714	9	2723

Accuracy

100.0%

Counts

2723 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(+.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))) x)
✓	99.5%	(+.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 1/3 binary64)) x)
✓	99.6%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))
✓	99.5%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
✓	9.7%	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
✓	9.6%	(*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
	9.6%	(*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
	9.6%	(*.f64 #s(literal -1/2 binary64) (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))))
✓	98.9%	x

Compiler

Compiled 332 to 148 computations (55.4% saved)

regimes19.0ms (0.2%)

Counts

17 → 1

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(+.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 1/3 binary64)) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64))))))))
(+.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))
(*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))))
(*.f64 #s(literal -1/2 binary64) (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 1/2 binary64) (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x))))))
(.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(.f64 #s(literal 1/2 binary64) (+.f64 (log1p.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))))

Outputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))

Calls

4 calls:

5.0ms	x
4.0ms	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
4.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
4.0ms	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
99.6%	1	`(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
99.6%	1	`(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 32 to 21 computations (34.4% saved)

regimes2.0ms (0%)

Counts

5 → 1

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(+.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 1/3 binary64)) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64))))))))
(+.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))) x)

Outputs
(+.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))) x)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

4 → 1

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(+.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 1/3 binary64)) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64))))))))

Outputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64))))))))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

3 → 1

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(+.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 1/3 binary64)) x)

Outputs
(+.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 1/3 binary64)) 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

2 → 1

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))

Outputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
99.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
98.9%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify37.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

34×	`*-commutative_binary64`
18×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	70
1	61	70

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))
(+.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64))))))))
(+.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 1/3 binary64)) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
x

Outputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))
(+.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))) x)
(+.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64))))))))
(+.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 1/3 binary64)) x)
(+.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
x

soundness1.0s (9.7%)

Rules

4518×	`+-lowering-+.f64`
4518×	`+-lowering-+.f32`
3092×	`-lowering-.f32`
3092×	`-lowering-.f64`
2396×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	220
1	258	189
2	2413	179
0	8327	179
0	110	380
1	341	345
2	1011	337
3	2857	334
4	5104	334
0	8012	334
0	293	1962
1	964	1742
2	3137	1684
0	8381	1684
0	10	10
1	16	10
2	20	10
3	26	10
4	35	10
5	50	10
6	73	10
7	98	10
8	145	10
9	217	10
10	271	10
11	442	10
12	990	10
13	1689	10
14	1767	10
0	1767	10

Stop Event

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

Compiler

Compiled 261 to 159 computations (39.1% saved)

preprocess38.0ms (0.4%)

Compiler: Compiled 168 to 82 computations (51.2% saved)

analyze4.0ms (0%)

sample2.9s (27%)

preprocess66.0ms (0.6%)

explain223.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify47.0ms (0.4%)

localize96.0ms (0.9%)

series4.0ms (0%)

rewrite292.0ms (2.7%)

simplify179.0ms (1.7%)

eval58.0ms (0.5%)

prune88.0ms (0.8%)

simplify220.0ms (2%)

localize488.0ms (4.5%)

series37.0ms (0.3%)

rewrite439.0ms (4.1%)

simplify281.0ms (2.6%)

eval157.0ms (1.5%)

prune103.0ms (1%)

simplify199.0ms (1.9%)

localize515.0ms (4.8%)

series10.0ms (0.1%)

rewrite414.0ms (3.9%)

simplify306.0ms (2.9%)

eval172.0ms (1.6%)

prune207.0ms (1.9%)

simplify110.0ms (1%)

localize346.0ms (3.2%)

series5.0ms (0%)

rewrite562.0ms (5.2%)

simplify272.0ms (2.5%)

eval526.0ms (4.9%)

prune270.0ms (2.5%)

regimes19.0ms (0.2%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

simplify37.0ms (0.3%)

soundness1.0s (9.7%)

preprocess38.0ms (0.4%)

end0.0ms (0%)

Profiling