Metrics for qlog (example 3.10)

analyze840.0ms (2.9%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
0%	0%	50%	50%	0%	0%	0%	1
0%	0%	50%	50%	0%	0%	0%	2
0%	0%	50%	50%	0%	0%	0%	3
0%	0%	50%	50%	0%	0%	0%	4
0%	0%	50%	50%	0%	0%	0%	5
0%	0%	50%	50%	0%	0%	0%	6
3.1%	1.6%	48.4%	50%	0%	0%	0%	7
6.3%	3.1%	46.8%	50%	0%	0%	0%	8
7%	3.5%	46.4%	50%	0%	0%	0%	9
7.4%	3.7%	46.2%	50%	0%	0%	0%	10
7.8%	3.9%	46%	50%	0%	0%	0%	11
8%	4%	46%	50%	0%	0%	0%	12

Compiler

Compiled 14 to 9 computations (35.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 427.0ms

ival-log: 206.0ms (48.2% of total)

ival-add: 47.0ms (11% of total)

ival-fabs: 47.0ms (11% of total)

ival-sub: 46.0ms (10.8% of total)

ival-<=: 41.0ms (9.6% of total)

ival-div: 34.0ms (8% of total)

const: 4.0ms (0.9% of total)

backward-pass: 2.0ms (0.5% of total)

sample8.1s (27.7%)

Results

4.9s	3899×	2	valid
2.3s	4103×	1	valid
57.0ms	254×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 6.4s

ival-log: 4.5s (70.8% of total)

backward-pass: 537.0ms (8.4% of total)

ival-div: 381.0ms (6% of total)

ival-sub: 280.0ms (4.4% of total)

ival-add: 273.0ms (4.3% of total)

ival-<=: 235.0ms (3.7% of total)

ival-fabs: 132.0ms (2.1% of total)

const: 25.0ms (0.4% of total)

Bogosity

preprocess50.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

110×	`sum3-define`
104×	`fmsub-define`
80×	`fnmsub-define`
80×	`fnmadd-define`
62×	`fmm-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	25
1	32	19
2	52	19
3	102	19
4	178	19
5	273	19
6	361	19
7	407	19
8	447	19
9	451	19
10	453	19
0	7	7
1	13	6
2	18	6
3	24	6
4	33	6
5	46	6
6	63	6
7	81	6
8	98	6
9	100	6
0	100	6

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

Outputs
(/ (log (- 1 x)) (log (+ 1 x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))

Call 2

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

Outputs
(/ (log (- 1 x)) (log (+ 1 x)))
(/ (log1p (neg x)) (log1p x))
(/ (log (- 1 (neg x))) (log (+ 1 (neg x))))
(/ (log1p x) (log1p (neg x)))
(neg (/ (log (- 1 (neg x))) (log (+ 1 (neg x)))))
(/ (neg (log1p x)) (log1p (neg x)))

explain514.0ms (1.8%)

FPErrors

Click to see full error table

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

Results

266.0ms	228×	2	valid
144.0ms	274×	1	valid
2.0ms	10×	0	valid

Compiler

Compiled 64 to 23 computations (64.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 304.0ms

ival-log: 225.0ms (73.9% of total)

backward-pass: 29.0ms (9.5% of total)

ival-add: 17.0ms (5.6% of total)

ival-sub: 17.0ms (5.6% of total)

ival-div: 16.0ms (5.3% of total)

const: 2.0ms (0.7% of total)

eval1.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% saved)

prune3.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	5.9%	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
▶	3.6%	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log1p.f64 x)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(log.f64 (-.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(log.f64 (-.f64 #s(literal 1 binary64) x))
✓	cost-diff	128	(log.f64 (+.f64 #s(literal 1 binary64) x))
✓	cost-diff	128	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))

Rules

44×	`sum3-define`
32×	`+-lowering-+.f64`
32×	`+-lowering-+.f32`
22×	`--lowering--.f32`
22×	`--lowering--.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	39
1	13	35
2	18	35
3	24	35
4	33	35
5	46	35
6	63	35
7	81	35
8	98	35
9	100	35
0	100	35

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

Outputs
(/ (log (- 1 x)) (log (+ 1 x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
(log (- 1 x))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(log (+ 1 x))
(log1p.f64 x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(/ (log (- 1 x)) (log (+ 1 x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
(log (- 1 x))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(log (+ 1 x))
(log1p.f64 x)

localize428.0ms (1.5%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(log1p.f64 x)
✓	accuracy	100.0%	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
✓	accuracy	28.5%	(log.f64 (-.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
✓	accuracy	28.5%	(log.f64 (+.f64 #s(literal 1 binary64) x))
✓	accuracy	28.5%	(log.f64 (-.f64 #s(literal 1 binary64) x))

Results

138.0ms	56×	5	exit
131.0ms	137×	1	valid
103.0ms	58×	2	valid
1.0ms	5×	0	valid

Compiler

Compiled 45 to 10 computations (77.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 306.0ms

ival-log: 178.0ms (58.2% of total)

compiled-spec: 50.0ms (16.4% of total)

backward-pass: 32.0ms (10.5% of total)

ival-add: 18.0ms (5.9% of total)

ival-div: 16.0ms (5.2% of total)

ival-sub: 9.0ms (2.9% of total)

const: 2.0ms (0.7% of total)

series30.0ms (0.1%)

Counts

7 → 84

Calls

Call 1

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

Outputs
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))>
#<alt (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
#<alt (* -1 x)>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* x (- (* x (- (* -1/3 x) 1/2)) 1))>
#<alt (* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (- (* -1 (log (/ -1 x))) (/ 1 x))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))>
#<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 -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))>
#<alt (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
#<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

21 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	(/ (log (- 1 x)) (log (+ 1 x)))
5.0ms	x	@	inf	(/ (log (- 1 x)) (log (+ 1 x)))
1.0ms	x	@	0	(/ (log (- 1 x)) (log (+ 1 x)))
1.0ms	x	@	-inf	(log (+ 1 x))
0.0ms	x	@	inf	(- 1 x)

rewrite640.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2510×	`-lowering-.f32`
2510×	`-lowering-.f64`
1524×	`/-lowering-/.f32`
1524×	`/-lowering-/.f64`
1258×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	7	26
1	37	24
2	256	24
3	2322	22
0	11278	22

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 669

Calls

Call 1

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

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

simplify706.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

4134×	`+-lowering-+.f64`
4134×	`+-lowering-+.f32`
2580×	`-lowering-.f32`
2580×	`-lowering-.f64`
1910×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	217	1971
1	739	1725
2	2433	1593
0	8384	1593

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

Inputs
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(+ (log -1) (* -1 (log (/ 1 x))))
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))
(* -1 (log (/ -1 x)))
(- (* -1 (log (/ -1 x))) (/ 1 x))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
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))))
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
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
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1/2 x) 1)) 1)
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64)))))
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 x))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(+.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 x)) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (log.f64 x)) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) x))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(+.f64 (-.f64 (+.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 x)) (+.f64 (/.f64 (/.f64 #s(literal -2 binary64) (log.f64 x)) x) (/.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 x)) (.f64 x x)))) (+.f64 (/.f64 (/.f64 (log.f64 #s(literal -1 binary64)) x) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) x)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (*.f64 x x)))
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(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) x))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (/.f64 (+.f64 (-.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))) x)) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))))) x))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))) (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))))) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (+.f64 (+.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal -1/2 binary64))) (*.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))))) x)) x) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))))) x) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
x
(* x (+ 1 (* -1/2 x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -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 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))))))
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (log.f64 x) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (log.f64 x) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) 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))

eval289.0ms (1%)

Compiler: Compiled 25283 to 1679 computations (93.4% saved)

prune265.0ms (0.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	1009	8	1017
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	1011	8	1019

Accuracy

100.0%

Counts

1019 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))) (log1p.f64 x))
▶	100.0%	(/.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) x)) (log1p.f64 x))
▶	4.9%	(/.f64 (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) x))) (log1p.f64 (*.f64 x x))))
	5.2%	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))))))
	98.9%	(-.f64 #s(literal -1 binary64) x)
	99.2%	(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))
▶	99.1%	(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64)))))
▶	98.1%	#s(literal -1 binary64)

Compiler

Compiled 198 to 138 computations (30.3% saved)

simplify437.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Program
✓	cost-diff	(-.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) x))) (log1p.f64 (*.f64 x x)))
✓	cost-diff	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	(log.f64 (-.f64 #s(literal 1 binary64) x))
✓	cost-diff	(/.f64 (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) x))) (log1p.f64 (*.f64 x x))))
✓	cost-diff	(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))
✓	cost-diff	(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))
✓	cost-diff	(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))))
✓	cost-diff	(/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))) (log1p.f64 x))
✓	cost-diff	(*.f64 x #s(literal -1/2 binary64))
✓	cost-diff	(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))
✓	cost-diff	(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64))))
✓	cost-diff	(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64)))))
✓	cost-diff	(log1p.f64 x)
✓	cost-diff	(-.f64 #s(literal 0 binary64) x)
✓	cost-diff	(log1p.f64 (-.f64 #s(literal 0 binary64) x))
✓	cost-diff	(/.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) x)) (log1p.f64 x))

Rules

2352×	`-lowering-.f32`
2352×	`-lowering-.f64`
1620×	`fma-lowering-fma.f32`
1620×	`fma-lowering-fma.f64`
1596×	`fma-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	34	200
1	91	183
2	237	183
3	602	183
4	1589	180
5	4023	180
6	6552	180
0	8159	180

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (log (+ 1 (- 0 x))) (log (+ 1 x)))
(log (+ 1 (- 0 x)))
(- 0 x)
0
x
(log (+ 1 x))
-1
(+ -1 (* x (+ -1 (* x -1/2))))
-1
(* x (+ -1 (* x -1/2)))
x
(+ -1 (* x -1/2))
(* x -1/2)
-1/2
(/ (* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))) (log (+ 1 x)))
(* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))))
x
(+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))
-1
(* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))
(+ -1/2 (* x (+ (* x -1/4) -1/3)))
-1/2
(* x (+ (* x -1/4) -1/3))
(+ (* x -1/4) -1/3)
(* x -1/4)
-1/4
-1/3
(log (+ 1 x))
(/ (log (- 1 x)) (- (log (* (+ 1 (* x x)) (+ 1 x))) (log (+ 1 (* x x)))))
(log (- 1 x))
(- 1 x)
1
x
(- (log (* (+ 1 (* x x)) (+ 1 x))) (log (+ 1 (* x x))))
(log (* (+ 1 (* x x)) (+ 1 x)))
(* (+ 1 (* x x)) (+ 1 x))
(+ 1 (* x x))
(* x x)
(+ 1 x)
(log (+ 1 (* x x)))

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

localize1.3s (4.6%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) x))) (log1p.f64 (*.f64 x x)))
✓	accuracy	100.0%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) x))
✓	accuracy	55.0%	(log.f64 (-.f64 #s(literal 1 binary64) x))
✓	accuracy	55.0%	(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) x)))
✓	accuracy	100.0%	(log1p.f64 x)
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))))
✓	accuracy	99.8%	(.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))
✓	accuracy	100.0%	(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal -1/2 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64)))))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64))))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) x)
✓	accuracy	100.0%	(log1p.f64 x)
✓	accuracy	100.0%	(/.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) x)) (log1p.f64 x))
✓	accuracy	100.0%	(log1p.f64 (-.f64 #s(literal 0 binary64) x))

Results

743.0ms	131×	5	exit
406.0ms	120×	2	valid
4.0ms	4×	0	valid
2.0ms	1×	1	valid

Compiler

Compiled 214 to 34 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 893.0ms

ival-log: 287.0ms (32.2% of total)

compiled-spec: 195.0ms (21.8% of total)

backward-pass: 188.0ms (21.1% of total)

ival-add: 76.0ms (8.5% of total)

ival-mult: 75.0ms (8.4% of total)

ival-sub: 26.0ms (2.9% of total)

ival-div: 24.0ms (2.7% of total)

...c/correct-round.rkt:119:19: 14.0ms (1.6% of total)

const: 6.0ms (0.7% of total)

series65.0ms (0.2%)

Counts

19 → 228

Calls

Call 1

Inputs
#<alt (/ (log (+ 1 (- 0 x))) (log (+ 1 x)))>
#<alt (log (+ 1 (- 0 x)))>
#<alt (- 0 x)>
#<alt (log (+ 1 x))>
#<alt (+ -1 (* x (+ -1 (* x -1/2))))>
#<alt (* x (+ -1 (* x -1/2)))>
#<alt (+ -1 (* x -1/2))>
#<alt (* x -1/2)>
#<alt (/ (* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))) (log (+ 1 x)))>
#<alt (* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))))>
#<alt (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))>
#<alt (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))>
#<alt (/ (log (- 1 x)) (- (log (* (+ 1 (* x x)) (+ 1 x))) (log (+ 1 (* x x)))))>
#<alt (log (- 1 x))>
#<alt (- 1 x)>
#<alt (- (log (* (+ 1 (* x x)) (+ 1 x))) (log (+ 1 (* x x))))>
#<alt (* x (+ (* x -1/4) -1/3))>
#<alt (log (* (+ 1 (* x x)) (+ 1 x)))>
#<alt (* (+ 1 (* x x)) (+ 1 x))>

Outputs
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))>
#<alt (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (* -1 x)>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* x (- (* x (- (* -1/3 x) 1/2)) 1))>
#<alt (* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (- (* -1 (log (/ -1 x))) (/ 1 x))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))>
#<alt (* -1 x)>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))>
#<alt -1>
#<alt (- (* -1/2 x) 1)>
#<alt (- (* -1/2 x) 1)>
#<alt (- (* -1/2 x) 1)>
#<alt (* -1/2 x)>
#<alt (* -1 (* x (+ 1/2 (/ 1 x))))>
#<alt (* -1 (* x (+ 1/2 (/ 1 x))))>
#<alt (* -1 (* x (+ 1/2 (/ 1 x))))>
#<alt (* -1/2 x)>
#<alt (* -1 (* x (+ 1/2 (/ 1 x))))>
#<alt (* -1 (* x (+ 1/2 (/ 1 x))))>
#<alt (* -1 (* x (+ 1/2 (/ 1 x))))>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt (* 1/4 (/ (pow x 4) (log (/ 1 x))))>
#<alt (* (pow x 4) (+ (/ 1/4 (* x (pow (log (/ 1 x)) 2))) (+ (/ 1/3 (* x (log (/ 1 x)))) (* 1/4 (/ 1 (log (/ 1 x)))))))>
#<alt (* (pow x 4) (- (+ (/ 1/4 (* x (pow (log (/ 1 x)) 2))) (+ (/ 1/3 (* x (log (/ 1 x)))) (+ (* 1/4 (/ 1 (log (/ 1 x)))) (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x)))))))) (+ (* -1 (/ (+ (* 1/3 (/ 1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow (log (/ 1 x)) 2)))) (* (pow x 2) (log (/ 1 x))))) (* 1/8 (/ 1 (* (pow x 2) (pow (log (/ 1 x)) 2)))))))>
#<alt (* (pow x 4) (- (+ (/ 1/12 (* (pow x 3) (pow (log (/ 1 x)) 2))) (+ (/ 1/4 (* x (pow (log (/ 1 x)) 2))) (+ (/ 1/3 (* x (log (/ 1 x)))) (+ (* 1/4 (/ 1 (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 1 (* (pow x 3) (log (/ 1 x))))))))) (+ (* -1 (/ (+ (* 1/3 (/ 1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow (log (/ 1 x)) 2)))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (+ (* 1/3 (/ 1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow (log (/ 1 x)) 2)))) (log (/ 1 x)))) (* 1/8 (/ 1 (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* 1/2 (/ (+ (* 1/3 (/ 1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow (log (/ 1 x)) 2)))) (* (pow x 3) (log (/ 1 x))))) (* 1/8 (/ 1 (* (pow x 2) (pow (log (/ 1 x)) 2)))))))))>
#<alt (* -1/4 (/ (pow x 4) (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (* (pow x 4) (- (/ 1/4 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (/ 1/3 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))))>
#<alt (* (pow x 4) (- (* -1 (/ (- (+ (* -1 (- (* 1/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (+ (/ 1/8 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (- (* 1/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))) (* x (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))))>
#<alt (* (pow x 4) (- (* -1 (/ (+ (* -1 (- (* 1/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (- (+ (* -1 (- (+ (* 1/8 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))) (* -1 (/ (- (* 1/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ 1/12 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (* -1 (/ (- (+ (* 1/8 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))) (* -1 (/ (- (* 1/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (log -1) (* -1 (log (/ -1 x))))))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (/ 1 (* x (+ (log -1) (* -1 (log (/ -1 x))))))))) x))) x)) (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))))>
#<alt (* -1 x)>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* x (- (* x (- (* -1/3 x) 1/2)) 1))>
#<alt (* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))>
#<alt (* -1/4 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1/4 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/4))>
#<alt -1>
#<alt (- (* -1/2 x) 1)>
#<alt (- (* x (- (* -1/3 x) 1/2)) 1)>
#<alt (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x)))))>
#<alt (* -1/2 x)>
#<alt (* x (- (* -1/3 x) 1/2))>
#<alt (* x (- (* x (- (* -1/4 x) 1/3)) 1/2))>
#<alt (* x (- (* x (- (* -1/4 x) 1/3)) 1/2))>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt (/ (+ (log -1) (* -1 (log (/ 1 x)))) (- (* -3 (log (/ 1 x))) (* -2 (log (/ 1 x)))))>
#<alt (+ (* -1 (/ (log (/ 1 x)) (- (* -3 (log (/ 1 x))) (* -2 (log (/ 1 x)))))) (+ (* -1 (/ (+ (* -1 (/ (log (/ 1 x)) (pow (- (* -3 (log (/ 1 x))) (* -2 (log (/ 1 x)))) 2))) (+ (/ 1 (- (* -3 (log (/ 1 x))) (* -2 (log (/ 1 x))))) (/ (log -1) (pow (- (* -3 (log (/ 1 x))) (* -2 (log (/ 1 x)))) 2)))) x)) (/ (log -1) (- (* -3 (log (/ 1 x))) (* -2 (log (/ 1 x)))))))>
#<alt (- (+ (* -1 (/ (log (/ 1 x)) (- (* -3 (log (/ 1 x))) (* -2 (log (/ 1 x)))))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (log (/ 1 x)) (pow (- (* -3 (log (/ 1 x))) (* -2 (log (/ 1 x)))) 2))) (+ (/ 1 (- (* -3 (log (/ 1 x))) (* -2 (log (/ 1 x))))) (/ (log -1) (pow (- (* -3 (log (/ 1 x))) (* -2 (log (/ 1 x)))) 2)))) (- (* -3 (log (/ 1 x))) (* -2 (log (/ 1 x)))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (- (* -3 (log (/ 1 x))) (* -2 (log (/ 1 x)))) 2))) (* 1/2 (/ 1 (- (* -3 (log (/ 1 x))) (* -2 (log (/ 1 x)))))))) (pow x 2))) (/ (log -1) (- (* -3 (log (/ 1 x))) (* -2 (log (/ 1 x))))))) (+ (* -1 (/ (log (/ 1 x)) (* x (pow (- (* -3 (log (/ 1 x))) (* -2 (log (/ 1 x)))) 2)))) (+ (/ 1 (* x (- (* -3 (log (/ 1 x))) (* -2 (log (/ 1 x)))))) (/ (log -1) (* x (pow (- (* -3 (log (/ 1 x))) (* -2 (log (/ 1 x)))) 2))))))>
#<alt (- (+ (* -1 (/ (log (/ 1 x)) (- (* -3 (log (/ 1 x))) (* -2 (log (/ 1 x)))))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (log (/ 1 x)) (pow (- (* -3 (log (/ 1 x))) (* -2 (log (/ 1 x)))) 2))) (+ (/ 1 (- (* -3 (log (/ 1 x))) (* -2 (log (/ 1 x))))) (/ (log -1) (pow (- (* -3 (log (/ 1 x))) (* -2 (log (/ 1 x)))) 2)))) (- (* -3 (log (/ 1 x))) (* -2 (log (/ 1 x)))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (- (* -3 (log (/ 1 x))) (* -2 (log (/ 1 x)))) 2))) (* 1/2 (/ 1 (- (* -3 (log (/ 1 x))) (* -2 (log (/ 1 x)))))))) (- (* -3 (log (/ 1 x))) (* -2 (log (/ 1 x)))))) (+ (* 1/3 (/ 1 (- (* -3 (log (/ 1 x))) (* -2 (log (/ 1 x)))))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (- (* -3 (log (/ 1 x))) (* -2 (log (/ 1 x)))) 2))) (* 1/2 (/ (+ (* -1 (/ (log (/ 1 x)) (pow (- (* -3 (log (/ 1 x))) (* -2 (log (/ 1 x)))) 2))) (+ (/ 1 (- (* -3 (log (/ 1 x))) (* -2 (log (/ 1 x))))) (/ (log -1) (pow (- (* -3 (log (/ 1 x))) (* -2 (log (/ 1 x)))) 2)))) (- (* -3 (log (/ 1 x))) (* -2 (log (/ 1 x))))))))) (pow x 3))) (/ (log -1) (- (* -3 (log (/ 1 x))) (* -2 (log (/ 1 x))))))) (+ (* -1 (/ (log (/ 1 x)) (* x (pow (- (* -3 (log (/ 1 x))) (* -2 (log (/ 1 x)))) 2)))) (+ (* -1 (/ (+ (* -1 (/ (log (/ 1 x)) (pow (- (* -3 (log (/ 1 x))) (* -2 (log (/ 1 x)))) 2))) (+ (/ 1 (- (* -3 (log (/ 1 x))) (* -2 (log (/ 1 x))))) (/ (log -1) (pow (- (* -3 (log (/ 1 x))) (* -2 (log (/ 1 x)))) 2)))) (* (pow x 2) (- (* -3 (log (/ 1 x))) (* -2 (log (/ 1 x))))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (- (* -3 (log (/ 1 x))) (* -2 (log (/ 1 x)))) 2)))) (+ (/ 1 (* x (- (* -3 (log (/ 1 x))) (* -2 (log (/ 1 x)))))) (+ (* 1/2 (/ 1 (* (pow x 2) (- (* -3 (log (/ 1 x))) (* -2 (log (/ 1 x))))))) (/ (log -1) (* x (pow (- (* -3 (log (/ 1 x))) (* -2 (log (/ 1 x)))) 2)))))))))>
#<alt (* -1 (/ (log (/ -1 x)) (- (+ (log -1) (* -3 (log (/ -1 x)))) (* -2 (log (/ -1 x))))))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (- (+ (log -1) (* -3 (log (/ -1 x)))) (* -2 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (- (+ (log -1) (* -3 (log (/ -1 x)))) (* -2 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (- (+ (log -1) (* -3 (log (/ -1 x)))) (* -2 (log (/ -1 x)))) 2))) x)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (- (+ (log -1) (* -3 (log (/ -1 x)))) (* -2 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (- (+ (log -1) (* -3 (log (/ -1 x)))) (* -2 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (- (+ (log -1) (* -3 (log (/ -1 x)))) (* -2 (log (/ -1 x)))) 2))) (* x (- (+ (log -1) (* -3 (log (/ -1 x)))) (* -2 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (- (+ (log -1) (* -3 (log (/ -1 x)))) (* -2 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (- (+ (log -1) (* -3 (log (/ -1 x)))) (* -2 (log (/ -1 x)))))) (/ 1 (- (+ (log -1) (* -3 (log (/ -1 x)))) (* -2 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (- (+ (log -1) (* -3 (log (/ -1 x)))) (* -2 (log (/ -1 x)))) 2))) x)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (- (+ (log -1) (* -3 (log (/ -1 x)))) (* -2 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (- (+ (log -1) (* -3 (log (/ -1 x)))) (* -2 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (- (+ (log -1) (* -3 (log (/ -1 x)))) (* -2 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (- (+ (log -1) (* -3 (log (/ -1 x)))) (* -2 (log (/ -1 x)))) 2))) (pow (- (+ (log -1) (* -3 (log (/ -1 x)))) (* -2 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (- (+ (log -1) (* -3 (log (/ -1 x)))) (* -2 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (- (+ (log -1) (* -3 (log (/ -1 x)))) (* -2 (log (/ -1 x)))) 2))) (- (+ (log -1) (* -3 (log (/ -1 x)))) (* -2 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (- (+ (log -1) (* -3 (log (/ -1 x)))) (* -2 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (- (+ (log -1) (* -3 (log (/ -1 x)))) (* -2 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (- (+ (log -1) (* -3 (log (/ -1 x)))) (* -2 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (- (+ (log -1) (* -3 (log (/ -1 x)))) (* -2 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (- (+ (log -1) (* -3 (log (/ -1 x)))) (* -2 (log (/ -1 x)))) 2))) (- (+ (log -1) (* -3 (log (/ -1 x)))) (* -2 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (- (+ (log -1) (* -3 (log (/ -1 x)))) (* -2 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (- (+ (log -1) (* -3 (log (/ -1 x)))) (* -2 (log (/ -1 x)))) 2)))))) x)) (/ 1 (- (+ (log -1) (* -3 (log (/ -1 x)))) (* -2 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (- (+ (log -1) (* -3 (log (/ -1 x)))) (* -2 (log (/ -1 x)))) 2))) x)))>
#<alt (* -1 x)>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* x (- (* x (- (* -1/3 x) 1/2)) 1))>
#<alt (* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (- (* -1 (log (/ -1 x))) (/ 1 x))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))>
#<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 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (- (* -3 (log (/ 1 x))) (* -2 (log (/ 1 x))))>
#<alt (- (+ (* -3 (log (/ 1 x))) (/ 1 x)) (* -2 (log (/ 1 x))))>
#<alt (- (+ (* -3 (log (/ 1 x))) (/ 1 x)) (+ (* -2 (log (/ 1 x))) (/ 1/2 (pow x 2))))>
#<alt (- (+ (* -3 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (+ (* -2 (log (/ 1 x))) (/ 1/2 (pow x 2))))>
#<alt (- (+ (log -1) (* -3 (log (/ -1 x)))) (* -2 (log (/ -1 x))))>
#<alt (- (+ (log -1) (+ (* -3 (log (/ -1 x))) (/ 1 x))) (* -2 (log (/ -1 x))))>
#<alt (- (+ (log -1) (+ (* -3 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))) (* -2 (log (/ -1 x))))>
#<alt (- (+ (log -1) (+ (* -3 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))) (* -2 (log (/ -1 x))))>
#<alt (* -1/3 x)>
#<alt (* x (- (* -1/4 x) 1/3))>
#<alt (* x (- (* -1/4 x) 1/3))>
#<alt (* x (- (* -1/4 x) 1/3))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/3 x)))))>
#<alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/3 (* -3/4 x)))))))>
#<alt (* -3 (log (/ 1 x)))>
#<alt (+ (* -3 (log (/ 1 x))) (/ 1 x))>
#<alt (+ (* -3 (log (/ 1 x))) (+ (/ 1/2 (pow x 2)) (/ 1 x)))>
#<alt (+ (* -3 (log (/ 1 x))) (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))))>
#<alt (+ (log -1) (* -3 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -3 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -3 (log (/ -1 x))) (+ (/ 1/2 (pow x 2)) (/ 1 x))))>
#<alt (+ (log -1) (+ (* -3 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 x)))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1 x)))))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)))>

Calls

57 calls:

Time	Variable		Point	Expression
10.0ms	x	@	-inf	(/ (* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))) (log (+ 1 x)))
7.0ms	x	@	inf	(/ (log (- 1 x)) (- (log (* (+ 1 (* x x)) (+ 1 x))) (log (+ 1 (* x x)))))
6.0ms	x	@	-inf	(/ (log (- 1 x)) (- (log (* (+ 1 (* x x)) (+ 1 x))) (log (+ 1 (* x x)))))
4.0ms	x	@	inf	(/ (* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))) (log (+ 1 x)))
1.0ms	x	@	0	(/ (log (+ 1 (- 0 x))) (log (+ 1 x)))

rewrite622.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2392×	`-lowering-.f32`
2392×	`-lowering-.f64`
1742×	`/-lowering-/.f32`
1742×	`/-lowering-/.f64`
1486×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	147
1	235	135
2	2159	129
0	10109	129

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 530

Calls

Call 1

Inputs
(/ (log (+ 1 (- 0 x))) (log (+ 1 x)))
(log (+ 1 (- 0 x)))
(- 0 x)
(log (+ 1 x))
(+ -1 (* x (+ -1 (* x -1/2))))
(* x (+ -1 (* x -1/2)))
(+ -1 (* x -1/2))
(* x -1/2)
(/ (* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))) (log (+ 1 x)))
(* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))))
(+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))
(* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))
(/ (log (- 1 x)) (- (log (* (+ 1 (* x x)) (+ 1 x))) (log (+ 1 (* x x)))))
(log (- 1 x))
(- 1 x)
(- (log (* (+ 1 (* x x)) (+ 1 x))) (log (+ 1 (* x x))))
(* x (+ (* x -1/4) -1/3))
(log (* (+ 1 (* x x)) (+ 1 x)))
(* (+ 1 (* x x)) (+ 1 x))

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

simplify852.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

3418×	`+-lowering-+.f64`
3418×	`+-lowering-+.f32`
2734×	`-lowering-.f32`
2734×	`-lowering-.f64`
1924×	`sum5-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	544	3873
1	1919	3322
2	7750	3320
0	8672	3320

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
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(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(* -1 x)
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(+ (log -1) (* -1 (log (/ 1 x))))
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))
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(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))
(* -1 (log (/ -1 x)))
(- (* -1 (log (/ -1 x))) (/ 1 x))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
x
(* x (+ 1 (* -1/2 x)))
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(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* -1/2 x) 1)) 1)
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(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))
(* -1/2 (pow x 2))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))
(* -1 x)
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(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
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(* -1/2 (pow x 2))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
-1
(- (* -1/2 x) 1)
(- (* -1/2 x) 1)
(- (* -1/2 x) 1)
(* -1/2 x)
(* -1 (* x (+ 1/2 (/ 1 x))))
(* -1 (* x (+ 1/2 (/ 1 x))))
(* -1 (* x (+ 1/2 (/ 1 x))))
(* -1/2 x)
(* -1 (* x (+ 1/2 (/ 1 x))))
(* -1 (* x (+ 1/2 (/ 1 x))))
(* -1 (* x (+ 1/2 (/ 1 x))))
(* -1/2 x)
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(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
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(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* 1/4 (/ (pow x 4) (log (/ 1 x))))
(* (pow x 4) (+ (/ 1/4 (* x (pow (log (/ 1 x)) 2))) (+ (/ 1/3 (* x (log (/ 1 x)))) (* 1/4 (/ 1 (log (/ 1 x)))))))
(* (pow x 4) (- (+ (/ 1/4 (* x (pow (log (/ 1 x)) 2))) (+ (/ 1/3 (* x (log (/ 1 x)))) (+ (* 1/4 (/ 1 (log (/ 1 x)))) (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x)))))))) (+ (* -1 (/ (+ (* 1/3 (/ 1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow (log (/ 1 x)) 2)))) (* (pow x 2) (log (/ 1 x))))) (* 1/8 (/ 1 (* (pow x 2) (pow (log (/ 1 x)) 2)))))))
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(* -1/4 (/ (pow x 4) (+ (log -1) (* -1 (log (/ -1 x))))))
(* (pow x 4) (- (/ 1/4 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (/ 1/3 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))))
(* (pow x 4) (- (* -1 (/ (- (+ (* -1 (- (* 1/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (+ (/ 1/8 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (- (* 1/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))) (* x (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))))
(* (pow x 4) (- (* -1 (/ (+ (* -1 (- (* 1/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (- (+ (* -1 (- (+ (* 1/8 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))) (* -1 (/ (- (* 1/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ 1/12 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (* -1 (/ (- (+ (* 1/8 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))) (* -1 (/ (- (* 1/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (log -1) (* -1 (log (/ -1 x))))))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (/ 1 (* x (+ (log -1) (* -1 (log (/ -1 x))))))))) x))) x)) (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))))
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(* -1/4 (pow x 4))
(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* (pow x 4) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1/4 (pow x 4))
(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/4))
-1
(- (* -1/2 x) 1)
(- (* x (- (* -1/3 x) 1/2)) 1)
(- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)
(* -1/4 (pow x 3))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1/4 (pow x 3))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x)))))
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(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
-1
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(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(/ (+ (log -1) (* -1 (log (/ 1 x)))) (- (* -3 (log (/ 1 x))) (* -2 (log (/ 1 x)))))
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(* -1 (/ (log (/ -1 x)) (- (+ (log -1) (* -3 (log (/ -1 x)))) (* -2 (log (/ -1 x))))))
(+ (* -1 (/ (log (/ -1 x)) (- (+ (log -1) (* -3 (log (/ -1 x)))) (* -2 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (- (+ (log -1) (* -3 (log (/ -1 x)))) (* -2 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (- (+ (log -1) (* -3 (log (/ -1 x)))) (* -2 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (- (+ (log -1) (* -3 (log (/ -1 x)))) (* -2 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (- (+ (log -1) (* -3 (log (/ -1 x)))) (* -2 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (- (+ (log -1) (* -3 (log (/ -1 x)))) (* -2 (log (/ -1 x)))) 2))) (* x (- (+ (log -1) (* -3 (log (/ -1 x)))) (* -2 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (- (+ (log -1) (* -3 (log (/ -1 x)))) (* -2 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (- (+ (log -1) (* -3 (log (/ -1 x)))) (* -2 (log (/ -1 x)))))) (/ 1 (- (+ (log -1) (* -3 (log (/ -1 x)))) (* -2 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (- (+ (log -1) (* -3 (log (/ -1 x)))) (* -2 (log (/ -1 x)))) 2))) x)))
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(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(+ (log -1) (* -1 (log (/ 1 x))))
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(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))
(* -1 (log (/ -1 x)))
(- (* -1 (log (/ -1 x))) (/ 1 x))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
1
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(+ 1 (* -1 x))
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(* -1 x)
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(* -1 (* x (- 1 (/ 1 x))))
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x
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(- (* -3 (log (/ 1 x))) (* -2 (log (/ 1 x))))
(- (+ (* -3 (log (/ 1 x))) (/ 1 x)) (* -2 (log (/ 1 x))))
(- (+ (* -3 (log (/ 1 x))) (/ 1 x)) (+ (* -2 (log (/ 1 x))) (/ 1/2 (pow x 2))))
(- (+ (* -3 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (+ (* -2 (log (/ 1 x))) (/ 1/2 (pow x 2))))
(- (+ (log -1) (* -3 (log (/ -1 x)))) (* -2 (log (/ -1 x))))
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(* -1/3 x)
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(* x (- (* -1/4 x) 1/3))
(* x (- (* -1/4 x) 1/3))
(* -1/4 (pow x 2))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1/4 (pow x 2))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/3 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/3 (* -3/4 x)))))))
(* -3 (log (/ 1 x)))
(+ (* -3 (log (/ 1 x))) (/ 1 x))
(+ (* -3 (log (/ 1 x))) (+ (/ 1/2 (pow x 2)) (/ 1 x)))
(+ (* -3 (log (/ 1 x))) (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))))
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(+ (log -1) (+ (* -3 (log (/ -1 x))) (+ (/ 1/2 (pow x 2)) (/ 1 x))))
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1
(+ 1 x)
(+ 1 (* x (+ 1 x)))
(+ 1 (* x (+ 1 (* x (+ 1 x)))))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)))

Outputs
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eval276.0ms (0.9%)

Compiler: Compiled 24452 to 2635 computations (89.2% saved)

prune197.0ms (0.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	784	2	786
Fresh	1	2	3
Picked	2	3	5
Done	0	0	0
Total	787	7	794

Accuracy

100.0%

Counts

794 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))))))
▶	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	4.9%	(/.f64 (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) x))) (log1p.f64 (*.f64 x x))))
▶	98.9%	(-.f64 #s(literal -1 binary64) x)
▶	99.2%	(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))
✓	99.1%	(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64)))))
✓	98.1%	#s(literal -1 binary64)

Compiler

Compiled 90 to 60 computations (33.3% saved)

simplify571.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))
✓	cost-diff	0	(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))))
✓	cost-diff	256	(/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))))))
✓	cost-diff	-64	(neg.f64 x)
✓	cost-diff	-64	(log1p.f64 (neg.f64 x))
✓	cost-diff	-64	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	cost-diff	0	(log1p.f64 x)
✓	cost-diff	0	(-.f64 #s(literal -1 binary64) x)
✓	cost-diff	0	(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64))))
✓	cost-diff	0	(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64)))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))))
✓	cost-diff	0	(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))

Rules

2560×	`fma-lowering-fma.f32`
2560×	`fma-lowering-fma.f64`
2246×	`-lowering-.f32`
2246×	`-lowering-.f64`
1714×	`fmm-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	225
1	111	191
2	361	189
3	1035	189
4	3052	189
5	6941	189
0	8037	189

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ -1 (* x (+ -1 (* x (+ -1/2 (* x -5/12))))))
-1
(* x (+ -1 (* x (+ -1/2 (* x -5/12)))))
x
(+ -1 (* x (+ -1/2 (* x -5/12))))
(* x (+ -1/2 (* x -5/12)))
(+ -1/2 (* x -5/12))
-1/2
(* x -5/12)
-5/12
(- -1 x)
-1
x
(/ (log (+ 1 (neg x))) (log (+ 1 x)))
(log (+ 1 (neg x)))
(neg x)
x
(log (+ 1 x))
(/ (* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))) (* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))))
(* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))))
x
(+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))
-1
(* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))
(+ -1/2 (* x (+ (* x -1/4) -1/3)))
-1/2
(* x (+ (* x -1/4) -1/3))
(+ (* x -1/4) -1/3)
(* x -1/4)
-1/4
-1/3
(* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))))
(+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))
1
(* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))
(+ -1/2 (* x (+ 1/3 (* x -1/4))))
(* x (+ 1/3 (* x -1/4)))
(+ 1/3 (* x -1/4))
1/3

Outputs
(+ -1 (* x (+ -1 (* x (+ -1/2 (* x -5/12))))))
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))
-1
#s(literal -1 binary64)
(* x (+ -1 (* x (+ -1/2 (* x -5/12)))))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))))
x
(+ -1 (* x (+ -1/2 (* x -5/12))))
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64)))))
(* x (+ -1/2 (* x -5/12)))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64))))
(+ -1/2 (* x -5/12))
(+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))
-1/2
#s(literal -1/2 binary64)
(* x -5/12)
(*.f64 x #s(literal -5/12 binary64))
-5/12
#s(literal -5/12 binary64)
(- -1 x)
(-.f64 #s(literal -1 binary64) x)
-1
#s(literal -1 binary64)
x
(/ (log (+ 1 (neg x))) (log (+ 1 x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
(log (+ 1 (neg x)))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(neg x)
(-.f64 #s(literal 0 binary64) x)
x
(log (+ 1 x))
(log1p.f64 x)
(/ (* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))) (* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
(* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))))
(.f64 x (-.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))))
x
(+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))
-1
#s(literal -1 binary64)
(* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))
(+ -1/2 (* x (+ (* x -1/4) -1/3)))
(+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))
-1/2
#s(literal -1/2 binary64)
(* x (+ (* x -1/4) -1/3))
(.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))
(+ (* x -1/4) -1/3)
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))
(* x -1/4)
(*.f64 x #s(literal -1/4 binary64))
-1/4
#s(literal -1/4 binary64)
-1/3
#s(literal -1/3 binary64)
(* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
(+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))
1
#s(literal 1 binary64)
(* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))
(+ -1/2 (* x (+ 1/3 (* x -1/4))))
(+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))
(* x (+ 1/3 (* x -1/4)))
(.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))
(+ 1/3 (* x -1/4))
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)

localize999.0ms (3.4%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))))
✓	accuracy	100.0%	(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))
✓	accuracy	99.6%	(.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))
✓	accuracy	99.6%	(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(log1p.f64 x)
✓	accuracy	100.0%	(log1p.f64 (neg.f64 x))
✓	accuracy	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	accuracy	100.0%	(-.f64 #s(literal -1 binary64) x)
✓	accuracy	100.0%	(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64))))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))))
✓	accuracy	99.8%	(*.f64 x #s(literal -5/12 binary64))

Results

403.0ms	167×	1	valid
393.0ms	82×	5	exit
7.0ms	2×	2	valid
4.0ms	5×	0	valid

Compiler

Compiled 234 to 34 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 581.0ms

backward-pass: 138.0ms (23.7% of total)

ival-mult: 105.0ms (18.1% of total)

compiled-spec: 99.0ms (17% of total)

ival-add: 77.0ms (13.2% of total)

ival-log: 72.0ms (12.4% of total)

...c/correct-round.rkt:119:19: 60.0ms (10.3% of total)

ival-div: 15.0ms (2.6% of total)

ival-sub: 6.0ms (1% of total)

ival-neg: 5.0ms (0.9% of total)

const: 4.0ms (0.7% of total)

series31.0ms (0.1%)

Counts

17 → 204

Calls

Call 1

Inputs
#<alt (+ -1 (* x (+ -1 (* x (+ -1/2 (* x -5/12))))))>
#<alt (* x (+ -1 (* x (+ -1/2 (* x -5/12)))))>
#<alt (+ -1 (* x (+ -1/2 (* x -5/12))))>
#<alt (* x (+ -1/2 (* x -5/12)))>
#<alt (- -1 x)>
#<alt (log (+ 1 x))>
#<alt (/ (log (+ 1 (neg x))) (log (+ 1 x)))>
#<alt (log (+ 1 (neg x)))>
#<alt (neg x)>
#<alt (/ (* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))) (* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))))>
#<alt (* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))))>
#<alt (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))>
#<alt (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))>
#<alt (* x -5/12)>
#<alt (* x (+ 1/3 (* x -1/4)))>
#<alt (* x (+ (* x -1/4) -1/3))>
#<alt (+ 1/3 (* x -1/4))>

Outputs
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt (* -5/12 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -5/12 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x)))))>
#<alt (* -1 x)>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* x (- (* x (- (* -5/12 x) 1/2)) 1))>
#<alt (* x (- (* x (- (* -5/12 x) 1/2)) 1))>
#<alt (* -5/12 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))>
#<alt (* -5/12 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))>
#<alt -1>
#<alt (- (* -1/2 x) 1)>
#<alt (- (* x (- (* -5/12 x) 1/2)) 1)>
#<alt (- (* x (- (* -5/12 x) 1/2)) 1)>
#<alt (* -5/12 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))>
#<alt (* -5/12 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))>
#<alt (* -1/2 x)>
#<alt (* x (- (* -5/12 x) 1/2))>
#<alt (* x (- (* -5/12 x) 1/2))>
#<alt (* x (- (* -5/12 x) 1/2))>
#<alt (* -5/12 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -5/12 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* -1 x) 1)>
#<alt (- (* -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 (* -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 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))>
#<alt (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (* -1 x)>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* x (- (* x (- (* -1/3 x) 1/2)) 1))>
#<alt (* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (- (* -1 (log (/ -1 x))) (/ 1 x))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt 1>
#<alt (+ 1 (* 8/3 (/ 1 x)))>
#<alt (+ 1 (+ (* 8/3 (/ 1 x)) (/ 32/9 (pow x 2))))>
#<alt (+ 1 (+ (* 8/3 (/ 1 x)) (+ (* 200/27 (/ 1 (pow x 3))) (/ 32/9 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* 8/3 (/ 1 x)))>
#<alt (+ 1 (+ (* 8/3 (/ 1 x)) (/ 32/9 (pow x 2))))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (+ 32/9 (* 200/27 (/ 1 x))) x)) 8/3) x)))>
#<alt (* -1 x)>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* x (- (* x (- (* -1/3 x) 1/2)) 1))>
#<alt (* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))>
#<alt (* -1/4 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1/4 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/4))>
#<alt -1>
#<alt (- (* -1/2 x) 1)>
#<alt (- (* x (- (* -1/3 x) 1/2)) 1)>
#<alt (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x)))))>
#<alt (* -1/2 x)>
#<alt (* x (- (* -1/3 x) 1/2))>
#<alt (* x (- (* x (- (* -1/4 x) 1/3)) 1/2))>
#<alt (* x (- (* x (- (* -1/4 x) 1/3)) 1/2))>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))>
#<alt (* -5/12 x)>
#<alt (* -5/12 x)>
#<alt (* -5/12 x)>
#<alt (* -5/12 x)>
#<alt (* -5/12 x)>
#<alt (* -5/12 x)>
#<alt (* -5/12 x)>
#<alt (* -5/12 x)>
#<alt (* -5/12 x)>
#<alt (* -5/12 x)>
#<alt (* -5/12 x)>
#<alt (* -5/12 x)>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* -1/4 x)))>
#<alt (* x (+ 1/3 (* -1/4 x)))>
#<alt (* x (+ 1/3 (* -1/4 x)))>
#<alt (* -1/4 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* -1/4 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* -1/3 x)>
#<alt (* x (- (* -1/4 x) 1/3))>
#<alt (* x (- (* -1/4 x) 1/3))>
#<alt (* x (- (* -1/4 x) 1/3))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt 1/3>
#<alt (+ 1/3 (* -1/4 x))>
#<alt (+ 1/3 (* -1/4 x))>
#<alt (+ 1/3 (* -1/4 x))>
#<alt (* -1/4 x)>
#<alt (* x (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* x (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* x (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* -1/4 x)>
#<alt (* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))>

Calls

51 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	(* x (+ -1/2 (* x -5/12)))
7.0ms	x	@	0	(* x (+ -1/2 (* x -5/12)))
1.0ms	x	@	-inf	(* x -5/12)
1.0ms	x	@	inf	(/ (* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))) (* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))))
1.0ms	x	@	inf	(* x -5/12)

rewrite825.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2666×	`/-lowering-/.f32`
2666×	`/-lowering-/.f64`
2430×	`-lowering-.f32`
2430×	`-lowering-.f64`
2104×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	142
1	254	120
2	2513	119
0	8252	119

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 461

Calls

Call 1

Inputs
(+ -1 (* x (+ -1 (* x (+ -1/2 (* x -5/12))))))
(* x (+ -1 (* x (+ -1/2 (* x -5/12)))))
(+ -1 (* x (+ -1/2 (* x -5/12))))
(* x (+ -1/2 (* x -5/12)))
(- -1 x)
(log (+ 1 x))
(/ (log (+ 1 (neg x))) (log (+ 1 x)))
(log (+ 1 (neg x)))
(neg x)
(/ (* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))) (* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))))
(* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))))
(+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))
(* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))
(* x -5/12)
(* x (+ 1/3 (* x -1/4)))
(* x (+ (* x -1/4) -1/3))
(+ 1/3 (* x -1/4))

Outputs
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))
(+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))) #s(literal -1 binary64))
(+.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))) #s(literal -1 binary64)))
(+.f64 (+.f64 #s(literal -1 binary64) x) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64)))))))) (/.f64 (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64)))))) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64))))))) (-.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))))
(-.f64 (/.f64 (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64)))))) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64))))))) (-.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64)))))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))) #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) x (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))) #s(literal -1 binary64)))
(fma.f64 x #s(literal -1 binary64) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))) #s(literal -1 binary64)))
(fma.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64))))) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64))))) x #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))) #s(literal -1 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))) #s(literal -1 binary64)))
(fma.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) x)))) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64))))))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64)))))) (-.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64)))))) #s(literal -1 binary64)))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64)))))) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64)))))) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64))))))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64)))))) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64)))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64)))))) (-.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64)))))) #s(literal -1 binary64)))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64)))))) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64)))))) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64)))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64)))))) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64))))))))))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64)))))) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64)))))) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64)))))) (-.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64)))))) #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64)))))) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64)))))) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64))))))))) (+.f64 (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64)))))) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64))))))) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64)))))) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64)))))))) (-.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64))))))))
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(/.f64 (neg.f64 (neg.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64)) #s(literal 1/27 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x #s(literal -1/4 binary64)) (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))
(pow.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x #s(literal -1/4 binary64)) (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64)) #s(literal 1/27 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))) (-.f64 #s(literal 1/9 binary64) (.f64 (*.f64 x x) #s(literal 1/16 binary64)))) #s(literal -1 binary64))
(.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64)) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x #s(literal -1/4 binary64)) (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))

simplify724.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

3994×	`-lowering-.f32`
3994×	`-lowering-.f64`
2914×	`+-lowering-+.f64`
2914×	`+-lowering-+.f32`
1638×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	307	2234
1	1054	2069
2	3717	1996
0	8573	1996

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -5/12 (pow x 3))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -5/12 (pow x 3))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 5/12 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x)))))
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -5/12 x) 1/2)) 1))
(* x (- (* x (- (* -5/12 x) 1/2)) 1))
(* -5/12 (pow x 3))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(* -5/12 (pow x 3))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))
-1
(- (* -1/2 x) 1)
(- (* x (- (* -5/12 x) 1/2)) 1)
(- (* x (- (* -5/12 x) 1/2)) 1)
(* -5/12 (pow x 2))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(* -5/12 (pow x 2))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(* -1/2 x)
(* x (- (* -5/12 x) 1/2))
(* x (- (* -5/12 x) 1/2))
(* x (- (* -5/12 x) 1/2))
(* -5/12 (pow x 2))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -5/12 (pow x 2))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
-1
(- (* -1 x) 1)
(- (* -1 x) 1)
(- (* -1 x) 1)
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(+ (log -1) (* -1 (log (/ 1 x))))
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))
(* -1 (log (/ -1 x)))
(- (* -1 (log (/ -1 x))) (/ 1 x))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
1
(+ 1 (* 8/3 (/ 1 x)))
(+ 1 (+ (* 8/3 (/ 1 x)) (/ 32/9 (pow x 2))))
(+ 1 (+ (* 8/3 (/ 1 x)) (+ (* 200/27 (/ 1 (pow x 3))) (/ 32/9 (pow x 2)))))
1
(+ 1 (* 8/3 (/ 1 x)))
(+ 1 (+ (* 8/3 (/ 1 x)) (/ 32/9 (pow x 2))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 32/9 (* 200/27 (/ 1 x))) x)) 8/3) x)))
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(* -1/4 (pow x 4))
(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* (pow x 4) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1/4 (pow x 4))
(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/4))
-1
(- (* -1/2 x) 1)
(- (* x (- (* -1/3 x) 1/2)) 1)
(- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)
(* -1/4 (pow x 3))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1/4 (pow x 3))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x)))))
(* -1/2 x)
(* x (- (* -1/3 x) 1/2))
(* x (- (* x (- (* -1/4 x) 1/3)) 1/2))
(* x (- (* x (- (* -1/4 x) 1/3)) 1/2))
(* -1/4 (pow x 3))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* -1/4 (pow x 3))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
(* -5/12 x)
(* -5/12 x)
(* -5/12 x)
(* -5/12 x)
(* -5/12 x)
(* -5/12 x)
(* -5/12 x)
(* -5/12 x)
(* -5/12 x)
(* -5/12 x)
(* -5/12 x)
(* -5/12 x)
(* 1/3 x)
(* x (+ 1/3 (* -1/4 x)))
(* x (+ 1/3 (* -1/4 x)))
(* x (+ 1/3 (* -1/4 x)))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* -1/3 x)
(* x (- (* -1/4 x) 1/3))
(* x (- (* -1/4 x) 1/3))
(* x (- (* -1/4 x) 1/3))
(* -1/4 (pow x 2))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1/4 (pow x 2))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
1/3
(+ 1/3 (* -1/4 x))
(+ 1/3 (* -1/4 x))
(+ 1/3 (* -1/4 x))
(* -1/4 x)
(* x (- (* 1/3 (/ 1 x)) 1/4))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(* -1/4 x)
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))

Outputs
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1/2 x) 1)) 1)
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64)))))
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))
(* -5/12 (pow x 3))
(.f64 #s(literal -5/12 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -5/12 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(.f64 x (.f64 (+.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (*.f64 x x)))
(* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 5/12 (* 1/2 (/ 1 x)))))
(.f64 x (.f64 (*.f64 x x) (+.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x) #s(literal -5/12 binary64))))
(* -5/12 (pow x 3))
(.f64 #s(literal -5/12 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -5/12 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))
(.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 5/12 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))
(* -1 (* (pow x 3) (+ 5/12 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x)))))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 (*.f64 x x) (-.f64 #s(literal 5/12 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)))))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* -1/2 x) 1))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64))))
(* x (- (* x (- (* -5/12 x) 1/2)) 1))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))))
(* x (- (* x (- (* -5/12 x) 1/2)) 1))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))))
(* -5/12 (pow x 3))
(.f64 #s(literal -5/12 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -5/12 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(.f64 x (.f64 (+.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (*.f64 x x)))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(.f64 x (.f64 (+.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (*.f64 x x)))
(* -5/12 (pow x 3))
(.f64 #s(literal -5/12 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -5/12 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))
(.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 5/12 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))
(.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 5/12 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))
-1
#s(literal -1 binary64)
(- (* -1/2 x) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(- (* x (- (* -5/12 x) 1/2)) 1)
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64)))))
(- (* x (- (* -5/12 x) 1/2)) 1)
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64)))))
(* -5/12 (pow x 2))
(.f64 #s(literal -5/12 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(.f64 (.f64 x x) (+.f64 #s(literal -5/12 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(.f64 (+.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (.f64 x x))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
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(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1/2 x) 1)) 1)
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64)))))
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))
1
#s(literal 1 binary64)
(+ 1 (* 8/3 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8/3 binary64) x))
(+ 1 (+ (* 8/3 (/ 1 x)) (/ 32/9 (pow x 2))))
(+.f64 (/.f64 #s(literal 8/3 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 32/9 binary64) (*.f64 x x))))
(+ 1 (+ (* 8/3 (/ 1 x)) (+ (* 200/27 (/ 1 (pow x 3))) (/ 32/9 (pow x 2)))))
(+.f64 (+.f64 (/.f64 #s(literal 8/3 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 32/9 binary64) (.f64 x x)))) (/.f64 #s(literal 200/27 binary64) (.f64 x (*.f64 x x))))
1
#s(literal 1 binary64)
(+ 1 (* 8/3 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8/3 binary64) x))
(+ 1 (+ (* 8/3 (/ 1 x)) (/ 32/9 (pow x 2))))
(+.f64 (/.f64 #s(literal 8/3 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 32/9 binary64) (*.f64 x x))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 32/9 (* 200/27 (/ 1 x))) x)) 8/3) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -8/3 binary64) (/.f64 (+.f64 #s(literal 32/9 binary64) (/.f64 #s(literal 200/27 binary64) x)) x)) x))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* -1/2 x) 1))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64))))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))))
(* -1/4 (pow x 4))
(*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* (pow x 4) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1/3 binary64)) x) #s(literal -1/4 binary64)))
(* -1/4 (pow x 4))
(*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/4))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) x)))
-1
#s(literal -1 binary64)
(- (* -1/2 x) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(- (* x (- (* -1/3 x) 1/2)) 1)
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -1/3 binary64)))))
(- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))
(* -1/4 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/4 binary64))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1/3 binary64)) x) #s(literal -1/4 binary64)))
(* -1/4 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/4 binary64))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) x)) (/.f64 #s(literal -1/2 binary64) (.f64 x x))))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x)))))
(.f64 (.f64 x (*.f64 x x)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1/3 binary64)) x))))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* x (- (* -1/3 x) 1/2))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -1/3 binary64))))
(* x (- (* x (- (* -1/4 x) 1/3)) 1/2))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))
(* x (- (* x (- (* -1/4 x) 1/3)) 1/2))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))
(* -1/4 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/4 binary64))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* -1/4 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/4 binary64))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) x)) (/.f64 #s(literal -1/2 binary64) (.f64 x x))))
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) x)) (/.f64 #s(literal -1/2 binary64) (.f64 x x))))
(* -5/12 x)
(*.f64 x #s(literal -5/12 binary64))
(* -5/12 x)
(*.f64 x #s(literal -5/12 binary64))
(* -5/12 x)
(*.f64 x #s(literal -5/12 binary64))
(* -5/12 x)
(*.f64 x #s(literal -5/12 binary64))
(* -5/12 x)
(*.f64 x #s(literal -5/12 binary64))
(* -5/12 x)
(*.f64 x #s(literal -5/12 binary64))
(* -5/12 x)
(*.f64 x #s(literal -5/12 binary64))
(* -5/12 x)
(*.f64 x #s(literal -5/12 binary64))
(* -5/12 x)
(*.f64 x #s(literal -5/12 binary64))
(* -5/12 x)
(*.f64 x #s(literal -5/12 binary64))
(* -5/12 x)
(*.f64 x #s(literal -5/12 binary64))
(* -5/12 x)
(*.f64 x #s(literal -5/12 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* x (+ 1/3 (* -1/4 x)))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))
(* x (+ 1/3 (* -1/4 x)))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))
(* x (+ 1/3 (* -1/4 x)))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))
(* -1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/4 binary64))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* -1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/4 binary64))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* x (- (* -1/4 x) 1/3))
(.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))
(* x (- (* -1/4 x) 1/3))
(.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))
(* x (- (* -1/4 x) 1/3))
(.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))
(* -1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/4 binary64))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(* -1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/4 binary64))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) x)))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* -1/4 x))
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))
(+ 1/3 (* -1/4 x))
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))
(+ 1/3 (* -1/4 x))
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 x (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 x (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 x (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/3 binary64) x))))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/3 binary64) x))))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/3 binary64) x))))

eval261.0ms (0.9%)

Compiler: Compiled 20274 to 2125 computations (89.5% saved)

prune176.0ms (0.6%)

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	661	4	665
Fresh	0	0	0
Picked	0	4	4
Done	0	3	3
Total	661	11	672

Accuracy

100.0%

Counts

672 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
✓	99.3%	(/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))))))
✓	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	4.9%	(/.f64 (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) x))) (log1p.f64 (*.f64 x x))))
✓	98.9%	(-.f64 #s(literal -1 binary64) x)
▶	99.2%	(+.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))) #s(literal -1 binary64)))
✓	99.2%	(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))
✓	99.1%	(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64)))))
▶	99.3%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))) (.f64 (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) #s(literal 1 binary64)))
▶	99.1%	(.f64 (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) (.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))))
✓	98.1%	#s(literal -1 binary64)

Compiler

Compiled 202 to 135 computations (33.2% saved)

simplify447.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))
✓	cost-diff	0	(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))
✓	cost-diff	128	(.f64 (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) #s(literal 1 binary64))
✓	cost-diff	128	(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
✓	cost-diff	0	(.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))
✓	cost-diff	0	(+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))) #s(literal -1 binary64))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) x)
✓	cost-diff	128	(+.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))) #s(literal -1 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
✓	cost-diff	128	(.f64 (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) #s(literal 1 binary64))
✓	cost-diff	256	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))) (.f64 (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) #s(literal 1 binary64)))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))
✓	cost-diff	0	(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))
✓	cost-diff	256	(.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))))
✓	cost-diff	384	(.f64 (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) (.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))))

Rules

2228×	`-lowering-.f32`
2228×	`-lowering-.f64`
1900×	`sum3-define`
1672×	`+-lowering-+.f64`
1672×	`+-lowering-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	489
1	107	414
2	358	414
3	1028	413
4	3440	413
0	8544	413

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))) (* x (/ (/ 1 x) (+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3))))))))
(+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))
-1
(* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))
x
(+ -1/2 (* x (+ (* x -1/4) -1/3)))
-1/2
(* x (+ (* x -1/4) -1/3))
(+ (* x -1/4) -1/3)
(* x -1/4)
-1/4
-1/3
(* x (/ (/ 1 x) (+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3)))))))
(/ (/ 1 x) (+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3))))))
(/ 1 x)
1
(+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3)))))
(* x (+ -1/2 (* x (+ (* x -1/4) 1/3))))
(+ -1/2 (* x (+ (* x -1/4) 1/3)))
(* x (+ (* x -1/4) 1/3))
(+ (* x -1/4) 1/3)
1/3
(* (/ 1 (+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3)))))) (* (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))) 1))
(/ 1 (+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3))))))
1
(+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3)))))
(* x (+ -1/2 (* x (+ (* x -1/4) 1/3))))
x
(+ -1/2 (* x (+ (* x -1/4) 1/3)))
-1/2
(* x (+ (* x -1/4) 1/3))
(+ (* x -1/4) 1/3)
(* x -1/4)
-1/4
1/3
(* (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))) 1)
(+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))
-1
(* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))
(+ -1/2 (* x (+ (* x -1/4) -1/3)))
(* x (+ (* x -1/4) -1/3))
(+ (* x -1/4) -1/3)
-1/3
(+ (- 0 x) (+ (* x (* x (+ -1/2 (* x -5/12)))) -1))
(- 0 x)
0
x
(+ (* x (* x (+ -1/2 (* x -5/12)))) -1)
(* x (* x (+ -1/2 (* x -5/12))))
(* x (+ -1/2 (* x -5/12)))
(+ -1/2 (* x -5/12))
-1/2
(* x -5/12)
-5/12
-1
(/ (* (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))) 1) (+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3))))))
(* (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))) 1)
(+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))
-1
(* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))
x
(+ -1/2 (* x (+ (* x -1/4) -1/3)))
-1/2
(* x (+ (* x -1/4) -1/3))
(+ (* x -1/4) -1/3)
(* x -1/4)
-1/4
-1/3
1
(+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3)))))
(* x (+ -1/2 (* x (+ (* x -1/4) 1/3))))
(+ -1/2 (* x (+ (* x -1/4) 1/3)))
(* x (+ (* x -1/4) 1/3))
(+ (* x -1/4) 1/3)
1/3

Outputs
(* (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))) (* x (/ (/ 1 x) (+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3))))))))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
(+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))
-1
#s(literal -1 binary64)
(* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))
x
(+ -1/2 (* x (+ (* x -1/4) -1/3)))
(+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))
-1/2
#s(literal -1/2 binary64)
(* x (+ (* x -1/4) -1/3))
(.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))
(+ (* x -1/4) -1/3)
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))
(* x -1/4)
(*.f64 x #s(literal -1/4 binary64))
-1/4
#s(literal -1/4 binary64)
-1/3
#s(literal -1/3 binary64)
(* x (/ (/ 1 x) (+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
(/ (/ 1 x) (+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3))))))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))
(* x (+ -1/2 (* x (+ (* x -1/4) 1/3))))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))
(+ -1/2 (* x (+ (* x -1/4) 1/3)))
(+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))
(* x (+ (* x -1/4) 1/3))
(.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))
(+ (* x -1/4) 1/3)
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
(* (/ 1 (+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3)))))) (* (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))) 1))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
(/ 1 (+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
1
#s(literal 1 binary64)
(+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))
(* x (+ -1/2 (* x (+ (* x -1/4) 1/3))))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))
x
(+ -1/2 (* x (+ (* x -1/4) 1/3)))
(+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))
-1/2
#s(literal -1/2 binary64)
(* x (+ (* x -1/4) 1/3))
(.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))
(+ (* x -1/4) 1/3)
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))
(* x -1/4)
(*.f64 x #s(literal -1/4 binary64))
-1/4
#s(literal -1/4 binary64)
1/3
#s(literal 1/3 binary64)
(* (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))) 1)
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))
(+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))
-1
#s(literal -1 binary64)
(* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))
(+ -1/2 (* x (+ (* x -1/4) -1/3)))
(+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))
(* x (+ (* x -1/4) -1/3))
(.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))
(+ (* x -1/4) -1/3)
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))
-1/3
#s(literal -1/3 binary64)
(+ (- 0 x) (+ (* x (* x (+ -1/2 (* x -5/12)))) -1))
(-.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 5/12 binary64)))))))
(- 0 x)
(-.f64 #s(literal 0 binary64) x)
0
#s(literal 0 binary64)
x
(+ (* x (* x (+ -1/2 (* x -5/12)))) -1)
(+.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64))) (*.f64 x x)))
(* x (* x (+ -1/2 (* x -5/12))))
(.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64))) (*.f64 x x))
(* x (+ -1/2 (* x -5/12)))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64))))
(+ -1/2 (* x -5/12))
(+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))
-1/2
#s(literal -1/2 binary64)
(* x -5/12)
(*.f64 x #s(literal -5/12 binary64))
-5/12
#s(literal -5/12 binary64)
-1
#s(literal -1 binary64)
(/ (* (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))) 1) (+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3))))))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
(* (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))) 1)
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))
(+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))
-1
#s(literal -1 binary64)
(* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))
x
(+ -1/2 (* x (+ (* x -1/4) -1/3)))
(+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))
-1/2
#s(literal -1/2 binary64)
(* x (+ (* x -1/4) -1/3))
(.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))
(+ (* x -1/4) -1/3)
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))
(* x -1/4)
(*.f64 x #s(literal -1/4 binary64))
-1/4
#s(literal -1/4 binary64)
-1/3
#s(literal -1/3 binary64)
1
#s(literal 1 binary64)
(+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))
(* x (+ -1/2 (* x (+ (* x -1/4) 1/3))))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))
(+ -1/2 (* x (+ (* x -1/4) 1/3)))
(+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))
(* x (+ (* x -1/4) 1/3))
(.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))
(+ (* x -1/4) 1/3)
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)

localize919.0ms (3.2%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))
✓	accuracy	100.0%	(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))
✓	accuracy	99.4%	(.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))
✓	accuracy	99.4%	(.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))
✓	accuracy	100.0%	(.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))
✓	accuracy	100.0%	(+.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))) #s(literal -1 binary64)))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64))))
✓	accuracy	99.8%	(*.f64 x #s(literal -5/12 binary64))
✓	accuracy	100.0%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))) (.f64 (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) #s(literal 1 binary64)))
✓	accuracy	100.0%	(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))
✓	accuracy	99.4%	(.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))
✓	accuracy	99.4%	(.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))
✓	accuracy	100.0%	(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))
✓	accuracy	99.8%	(.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))))
✓	accuracy	99.4%	(.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))
✓	accuracy	99.4%	(.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))

Results

288.0ms	40×	5	exit
266.0ms	214×	0	valid
8.0ms	2×	2	valid

Compiler

Compiled 537 to 36 computations (93.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 233.0ms

ival-mult: 70.0ms (30% of total)

backward-pass: 54.0ms (23.2% of total)

...c/correct-round.rkt:119:19: 42.0ms (18% of total)

ival-add: 41.0ms (17.6% of total)

ival-div: 20.0ms (8.6% of total)

ival-sub: 3.0ms (1.3% of total)

const: 2.0ms (0.9% of total)

series17.0ms (0.1%)

Counts

18 → 216

Calls

Call 1

Inputs
#<alt (* (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))) (* x (/ (/ 1 x) (+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3))))))))>
#<alt (* x (/ (/ 1 x) (+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3)))))))>
#<alt (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))>
#<alt (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))>
#<alt (* (/ 1 (+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3)))))) (* (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))) 1))>
#<alt (* (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))) 1)>
#<alt (/ 1 (+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3))))))>
#<alt (+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3)))))>
#<alt (+ (- 0 x) (+ (* x (* x (+ -1/2 (* x -5/12)))) -1))>
#<alt (- 0 x)>
#<alt (+ (* x (* x (+ -1/2 (* x -5/12)))) -1)>
#<alt (* x (* x (+ -1/2 (* x -5/12))))>
#<alt (/ (* (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))) 1) (+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3))))))>
#<alt (* x (+ (* x -1/4) -1/3))>
#<alt (* x (+ (* x -1/4) 1/3))>
#<alt (+ (* x -1/4) 1/3)>
#<alt (* x -5/12)>
#<alt (* x (+ -1/2 (* x -5/12)))>

Outputs
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt 1>
#<alt (+ 1 (* 8/3 (/ 1 x)))>
#<alt (+ 1 (+ (* 8/3 (/ 1 x)) (/ 32/9 (pow x 2))))>
#<alt (+ 1 (+ (* 8/3 (/ 1 x)) (+ (* 200/27 (/ 1 (pow x 3))) (/ 32/9 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* 8/3 (/ 1 x)))>
#<alt (+ 1 (+ (* 8/3 (/ 1 x)) (/ 32/9 (pow x 2))))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (+ 32/9 (* 200/27 (/ 1 x))) x)) 8/3) x)))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* -1/12 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (- (* 1/24 x) 1/12)))))>
#<alt (/ -4 (pow x 3))>
#<alt (* -1 (/ (+ 4 (* 16/3 (/ 1 x))) (pow x 3)))>
#<alt (/ (- (/ 8/9 (pow x 2)) (+ 4 (* 16/3 (/ 1 x)))) (pow x 3))>
#<alt (/ (- (/ 8/9 (pow x 2)) (+ 4 (+ (* 16/3 (/ 1 x)) (* 112/27 (/ 1 (pow x 3)))))) (pow x 3))>
#<alt (/ -4 (pow x 3))>
#<alt (* -1 (/ (+ 4 (* 16/3 (/ 1 x))) (pow x 3)))>
#<alt (* -1 (/ (+ 4 (* -1 (/ (- (* 8/9 (/ 1 x)) 16/3) x))) (pow x 3)))>
#<alt (* -1 (/ (+ 4 (* -1 (/ (- (* -1 (/ (- (* 112/27 (/ 1 x)) 8/9) x)) 16/3) x))) (pow x 3)))>
#<alt -1>
#<alt (- (* -1/2 x) 1)>
#<alt (- (* x (- (* -1/3 x) 1/2)) 1)>
#<alt (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x)))))>
#<alt (* -1/2 x)>
#<alt (* x (- (* -1/3 x) 1/2))>
#<alt (* x (- (* x (- (* -1/4 x) 1/3)) 1/2))>
#<alt (* x (- (* x (- (* -1/4 x) 1/3)) 1/2))>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt 1>
#<alt (+ 1 (* 8/3 (/ 1 x)))>
#<alt (+ 1 (+ (* 8/3 (/ 1 x)) (/ 32/9 (pow x 2))))>
#<alt (+ 1 (+ (* 8/3 (/ 1 x)) (+ (* 200/27 (/ 1 (pow x 3))) (/ 32/9 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* 8/3 (/ 1 x)))>
#<alt (+ 1 (+ (* 8/3 (/ 1 x)) (/ 32/9 (pow x 2))))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (+ 32/9 (* 200/27 (/ 1 x))) x)) 8/3) x)))>
#<alt -1>
#<alt (- (* -1/2 x) 1)>
#<alt (- (* x (- (* -1/3 x) 1/2)) 1)>
#<alt (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* -1/12 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (- (* 1/24 x) 1/12)))))>
#<alt (/ -4 (pow x 3))>
#<alt (* -1 (/ (+ 4 (* 16/3 (/ 1 x))) (pow x 3)))>
#<alt (/ (- (/ 8/9 (pow x 2)) (+ 4 (* 16/3 (/ 1 x)))) (pow x 3))>
#<alt (/ (- (/ 8/9 (pow x 2)) (+ 4 (+ (* 16/3 (/ 1 x)) (* 112/27 (/ 1 (pow x 3)))))) (pow x 3))>
#<alt (/ -4 (pow x 3))>
#<alt (* -1 (/ (+ 4 (* 16/3 (/ 1 x))) (pow x 3)))>
#<alt (* -1 (/ (+ 4 (* -1 (/ (- (* 8/9 (/ 1 x)) 16/3) x))) (pow x 3)))>
#<alt (* -1 (/ (+ 4 (* -1 (/ (- (* -1 (/ (- (* 112/27 (/ 1 x)) 8/9) x)) 16/3) x))) (pow x 3)))>
#<alt 1>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* x (- (* 1/3 x) 1/2)))>
#<alt (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))>
#<alt (* -1/4 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 3) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 x))) x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x))) x)))))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt (* -5/12 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -5/12 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x)))))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt -1>
#<alt (- (* -1/2 (pow x 2)) 1)>
#<alt (- (* (pow x 2) (- (* -5/12 x) 1/2)) 1)>
#<alt (- (* (pow x 2) (- (* -5/12 x) 1/2)) 1)>
#<alt (* -5/12 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) x)) 5/12))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) x)) 5/12))>
#<alt (* -5/12 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* -5/12 x) 1/2))>
#<alt (* (pow x 2) (- (* -5/12 x) 1/2))>
#<alt (* (pow x 2) (- (* -5/12 x) 1/2))>
#<alt (* -5/12 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -5/12 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt 1>
#<alt (+ 1 (* 8/3 (/ 1 x)))>
#<alt (+ 1 (+ (* 8/3 (/ 1 x)) (/ 32/9 (pow x 2))))>
#<alt (+ 1 (+ (* 8/3 (/ 1 x)) (+ (* 200/27 (/ 1 (pow x 3))) (/ 32/9 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* 8/3 (/ 1 x)))>
#<alt (+ 1 (+ (* 8/3 (/ 1 x)) (/ 32/9 (pow x 2))))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (+ 32/9 (* 200/27 (/ 1 x))) x)) 8/3) x)))>
#<alt (* -1/3 x)>
#<alt (* x (- (* -1/4 x) 1/3))>
#<alt (* x (- (* -1/4 x) 1/3))>
#<alt (* x (- (* -1/4 x) 1/3))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* -1/4 x)))>
#<alt (* x (+ 1/3 (* -1/4 x)))>
#<alt (* x (+ 1/3 (* -1/4 x)))>
#<alt (* -1/4 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* -1/4 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt 1/3>
#<alt (+ 1/3 (* -1/4 x))>
#<alt (+ 1/3 (* -1/4 x))>
#<alt (+ 1/3 (* -1/4 x))>
#<alt (* -1/4 x)>
#<alt (* x (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* x (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* x (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* -1/4 x)>
#<alt (* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -5/12 x)>
#<alt (* -5/12 x)>
#<alt (* -5/12 x)>
#<alt (* -5/12 x)>
#<alt (* -5/12 x)>
#<alt (* -5/12 x)>
#<alt (* -5/12 x)>
#<alt (* -5/12 x)>
#<alt (* -5/12 x)>
#<alt (* -5/12 x)>
#<alt (* -5/12 x)>
#<alt (* -5/12 x)>
#<alt (* -1/2 x)>
#<alt (* x (- (* -5/12 x) 1/2))>
#<alt (* x (- (* -5/12 x) 1/2))>
#<alt (* x (- (* -5/12 x) 1/2))>
#<alt (* -5/12 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -5/12 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))>

Calls

54 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3)))))
1.0ms	x	@	-inf	(+ (* x (* x (+ -1/2 (* x -5/12)))) -1)
0.0ms	x	@	inf	(* x (/ (/ 1 x) (+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3)))))))
0.0ms	x	@	-inf	(* x (/ (/ 1 x) (+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3)))))))
0.0ms	x	@	inf	(+ (* x (* x (+ -1/2 (* x -5/12)))) -1)

rewrite932.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3080×	`-lowering-.f32`
3080×	`-lowering-.f64`
1986×	`fma-lowering-fma.f32`
1986×	`fma-lowering-fma.f64`
1816×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	230
1	245	179
2	2459	178
0	8993	178

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 594

Calls

Call 1

Inputs
(* (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))) (* x (/ (/ 1 x) (+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3))))))))
(* x (/ (/ 1 x) (+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3)))))))
(+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))
(* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))
(* (/ 1 (+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3)))))) (* (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))) 1))
(* (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))) 1)
(/ 1 (+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3))))))
(+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3)))))
(+ (- 0 x) (+ (* x (* x (+ -1/2 (* x -5/12)))) -1))
(- 0 x)
(+ (* x (* x (+ -1/2 (* x -5/12)))) -1)
(* x (* x (+ -1/2 (* x -5/12))))
(/ (* (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))) 1) (+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3))))))
(* x (+ (* x -1/4) -1/3))
(* x (+ (* x -1/4) 1/3))
(+ (* x -1/4) 1/3)
(* x -5/12)
(* x (+ -1/2 (* x -5/12)))

Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))) (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))))) #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))))
(fma.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))) #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))))
(neg.f64 (/.f64 (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))))
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(/.f64 (-.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 x x)) (.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x #s(literal -1/3 binary64)))) (-.f64 (.f64 #s(literal -1/4 binary64) (.f64 x x)) (*.f64 x #s(literal -1/3 binary64))))
(/.f64 (.f64 x (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64)) #s(literal -1/27 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/12 binary64)))))
(/.f64 (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/9 binary64))) (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64)) #s(literal -1/27 binary64)) x) (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/12 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/9 binary64)) x) (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))
(.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))
(.f64 (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) x)
(+.f64 (.f64 #s(literal -1/4 binary64) (.f64 x x)) (*.f64 x #s(literal 1/3 binary64)))
(+.f64 (.f64 x #s(literal 1/3 binary64)) (.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(fma.f64 x (.f64 x #s(literal -1/4 binary64)) (.f64 x #s(literal 1/3 binary64)))
(fma.f64 x #s(literal 1/3 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x)))
(fma.f64 #s(literal -1/4 binary64) (.f64 x x) (.f64 x #s(literal 1/3 binary64)))
(fma.f64 (.f64 x #s(literal -1/4 binary64)) x (.f64 x #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) x (.f64 #s(literal -1/4 binary64) (.f64 x x)))
(fma.f64 (.f64 x x) #s(literal -1/4 binary64) (.f64 x #s(literal 1/3 binary64)))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/64 binary64)) (.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 x x)) (.f64 #s(literal -1/4 binary64) (.f64 x x))) (-.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) (.f64 x #s(literal 1/3 binary64))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 x x)) (*.f64 x #s(literal 1/3 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 x x)) (.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 (.f64 x #s(literal 1/3 binary64)) (.f64 x #s(literal 1/3 binary64)))) (-.f64 (.f64 #s(literal -1/4 binary64) (.f64 x x)) (*.f64 x #s(literal 1/3 binary64))))
(/.f64 (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/9 binary64))) (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))
(/.f64 (.f64 x (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64)) #s(literal 1/27 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/12 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/9 binary64)) x) (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64)) #s(literal 1/27 binary64)) x) (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/12 binary64)))))
(.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))
(.f64 (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) x)
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))
(-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 x #s(literal -1/12 binary64)))) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64)) #s(literal 1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) (+.f64 (.f64 (*.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/9 binary64))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64)) #s(literal 1/27 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 x #s(literal -1/12 binary64)))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64)) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (.f64 x #s(literal -1/12 binary64)))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64)) #s(literal 1/27 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (+.f64 #s(literal 1/9 binary64) (.f64 x #s(literal 1/12 binary64)))))
(/.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/9 binary64)) (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64)) #s(literal 1/27 binary64))) (neg.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 x #s(literal -1/12 binary64))))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/9 binary64))) (neg.f64 (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
(pow.f64 (/.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 x #s(literal -1/12 binary64)))) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64)) #s(literal 1/27 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) (+.f64 (.f64 (*.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/9 binary64))) #s(literal -1 binary64))
(.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64)) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/12 binary64))))))
(.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))
(*.f64 x #s(literal -5/12 binary64))
(*.f64 #s(literal -5/12 binary64) x)
(+.f64 (.f64 #s(literal -5/12 binary64) (.f64 x x)) (*.f64 x #s(literal -1/2 binary64)))
(+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 #s(literal -5/12 binary64) (*.f64 x x)))
(fma.f64 x #s(literal -1/2 binary64) (.f64 #s(literal -5/12 binary64) (.f64 x x)))
(fma.f64 x (.f64 x #s(literal -5/12 binary64)) (.f64 x #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) x (.f64 #s(literal -5/12 binary64) (.f64 x x)))
(fma.f64 #s(literal -5/12 binary64) (.f64 x x) (.f64 x #s(literal -1/2 binary64)))
(fma.f64 (.f64 x #s(literal -5/12 binary64)) x (.f64 x #s(literal -1/2 binary64)))
(fma.f64 (.f64 x x) #s(literal -5/12 binary64) (.f64 x #s(literal -1/2 binary64)))
(/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -125/1728 binary64)) (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 x #s(literal -1/2 binary64))) (-.f64 (.f64 (.f64 #s(literal -5/12 binary64) (.f64 x x)) (.f64 #s(literal -5/12 binary64) (.f64 x x))) (.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 #s(literal -5/12 binary64) (*.f64 x x))))))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 x #s(literal -1/2 binary64))) (.f64 (.f64 #s(literal -5/12 binary64) (.f64 x x)) (.f64 #s(literal -5/12 binary64) (.f64 x x)))) (-.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 #s(literal -5/12 binary64) (*.f64 x x))))
(/.f64 (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -125/1728 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x #s(literal -5/12 binary64)) (-.f64 (*.f64 x #s(literal -5/12 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 25/144 binary64)))) (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64))))
(/.f64 (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -125/1728 binary64))) x) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x #s(literal -5/12 binary64)) (-.f64 (*.f64 x #s(literal -5/12 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 25/144 binary64))) x) (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64))))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64))))
(.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64))) x)

simplify771.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

4596×	`-lowering-.f32`
4596×	`-lowering-.f64`
2016×	`+-lowering-+.f64`
2016×	`+-lowering-+.f32`
1386×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	221	1730
1	700	1625
2	2379	1592
3	7663	1586
0	8277	1586

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

Inputs
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
1
(+ 1 (* 8/3 (/ 1 x)))
(+ 1 (+ (* 8/3 (/ 1 x)) (/ 32/9 (pow x 2))))
(+ 1 (+ (* 8/3 (/ 1 x)) (+ (* 200/27 (/ 1 (pow x 3))) (/ 32/9 (pow x 2)))))
1
(+ 1 (* 8/3 (/ 1 x)))
(+ 1 (+ (* 8/3 (/ 1 x)) (/ 32/9 (pow x 2))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 32/9 (* 200/27 (/ 1 x))) x)) 8/3) x)))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/12 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/24 x) 1/12)))))
(/ -4 (pow x 3))
(* -1 (/ (+ 4 (* 16/3 (/ 1 x))) (pow x 3)))
(/ (- (/ 8/9 (pow x 2)) (+ 4 (* 16/3 (/ 1 x)))) (pow x 3))
(/ (- (/ 8/9 (pow x 2)) (+ 4 (+ (* 16/3 (/ 1 x)) (* 112/27 (/ 1 (pow x 3)))))) (pow x 3))
(/ -4 (pow x 3))
(* -1 (/ (+ 4 (* 16/3 (/ 1 x))) (pow x 3)))
(* -1 (/ (+ 4 (* -1 (/ (- (* 8/9 (/ 1 x)) 16/3) x))) (pow x 3)))
(* -1 (/ (+ 4 (* -1 (/ (- (* -1 (/ (- (* 112/27 (/ 1 x)) 8/9) x)) 16/3) x))) (pow x 3)))
-1
(- (* -1/2 x) 1)
(- (* x (- (* -1/3 x) 1/2)) 1)
(- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)
(* -1/4 (pow x 3))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1/4 (pow x 3))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x)))))
(* -1/2 x)
(* x (- (* -1/3 x) 1/2))
(* x (- (* x (- (* -1/4 x) 1/3)) 1/2))
(* x (- (* x (- (* -1/4 x) 1/3)) 1/2))
(* -1/4 (pow x 3))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* -1/4 (pow x 3))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
1
(+ 1 (* 8/3 (/ 1 x)))
(+ 1 (+ (* 8/3 (/ 1 x)) (/ 32/9 (pow x 2))))
(+ 1 (+ (* 8/3 (/ 1 x)) (+ (* 200/27 (/ 1 (pow x 3))) (/ 32/9 (pow x 2)))))
1
(+ 1 (* 8/3 (/ 1 x)))
(+ 1 (+ (* 8/3 (/ 1 x)) (/ 32/9 (pow x 2))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 32/9 (* 200/27 (/ 1 x))) x)) 8/3) x)))
-1
(- (* -1/2 x) 1)
(- (* x (- (* -1/3 x) 1/2)) 1)
(- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)
(* -1/4 (pow x 3))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1/4 (pow x 3))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x)))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/12 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/24 x) 1/12)))))
(/ -4 (pow x 3))
(* -1 (/ (+ 4 (* 16/3 (/ 1 x))) (pow x 3)))
(/ (- (/ 8/9 (pow x 2)) (+ 4 (* 16/3 (/ 1 x)))) (pow x 3))
(/ (- (/ 8/9 (pow x 2)) (+ 4 (+ (* 16/3 (/ 1 x)) (* 112/27 (/ 1 (pow x 3)))))) (pow x 3))
(/ -4 (pow x 3))
(* -1 (/ (+ 4 (* 16/3 (/ 1 x))) (pow x 3)))
(* -1 (/ (+ 4 (* -1 (/ (- (* 8/9 (/ 1 x)) 16/3) x))) (pow x 3)))
(* -1 (/ (+ 4 (* -1 (/ (- (* -1 (/ (- (* 112/27 (/ 1 x)) 8/9) x)) 16/3) x))) (pow x 3)))
1
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 1/3 x) 1/2)))
(+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))
(* -1/4 (pow x 3))
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 3) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(* (pow x 3) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))
(* -1/4 (pow x 3))
(* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x))) x)))))
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -5/12 (pow x 3))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -5/12 (pow x 3))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 5/12 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x)))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
-1
(- (* -1/2 (pow x 2)) 1)
(- (* (pow x 2) (- (* -5/12 x) 1/2)) 1)
(- (* (pow x 2) (- (* -5/12 x) 1/2)) 1)
(* -5/12 (pow x 3))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) x)) 5/12))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) x)) 5/12))
(* -5/12 (pow x 3))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))))))
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))))))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* -5/12 x) 1/2))
(* (pow x 2) (- (* -5/12 x) 1/2))
(* (pow x 2) (- (* -5/12 x) 1/2))
(* -5/12 (pow x 3))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -5/12 (pow x 3))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
1
(+ 1 (* 8/3 (/ 1 x)))
(+ 1 (+ (* 8/3 (/ 1 x)) (/ 32/9 (pow x 2))))
(+ 1 (+ (* 8/3 (/ 1 x)) (+ (* 200/27 (/ 1 (pow x 3))) (/ 32/9 (pow x 2)))))
1
(+ 1 (* 8/3 (/ 1 x)))
(+ 1 (+ (* 8/3 (/ 1 x)) (/ 32/9 (pow x 2))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 32/9 (* 200/27 (/ 1 x))) x)) 8/3) x)))
(* -1/3 x)
(* x (- (* -1/4 x) 1/3))
(* x (- (* -1/4 x) 1/3))
(* x (- (* -1/4 x) 1/3))
(* -1/4 (pow x 2))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1/4 (pow x 2))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* 1/3 x)
(* x (+ 1/3 (* -1/4 x)))
(* x (+ 1/3 (* -1/4 x)))
(* x (+ 1/3 (* -1/4 x)))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
1/3
(+ 1/3 (* -1/4 x))
(+ 1/3 (* -1/4 x))
(+ 1/3 (* -1/4 x))
(* -1/4 x)
(* x (- (* 1/3 (/ 1 x)) 1/4))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(* -1/4 x)
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(* -5/12 x)
(* -5/12 x)
(* -5/12 x)
(* -5/12 x)
(* -5/12 x)
(* -5/12 x)
(* -5/12 x)
(* -5/12 x)
(* -5/12 x)
(* -5/12 x)
(* -5/12 x)
(* -5/12 x)
(* -1/2 x)
(* x (- (* -5/12 x) 1/2))
(* x (- (* -5/12 x) 1/2))
(* x (- (* -5/12 x) 1/2))
(* -5/12 (pow x 2))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -5/12 (pow x 2))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))

Outputs
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1/2 x) 1)) 1)
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64)))))
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))
1
#s(literal 1 binary64)
(+ 1 (* 8/3 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8/3 binary64) x))
(+ 1 (+ (* 8/3 (/ 1 x)) (/ 32/9 (pow x 2))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 8/3 binary64) x) (/.f64 #s(literal 32/9 binary64) (*.f64 x x))))
(+ 1 (+ (* 8/3 (/ 1 x)) (+ (* 200/27 (/ 1 (pow x 3))) (/ 32/9 (pow x 2)))))
(+.f64 (/.f64 #s(literal 8/3 binary64) x) (+.f64 (/.f64 #s(literal 200/27 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 32/9 binary64) (*.f64 x x)))))
1
#s(literal 1 binary64)
(+ 1 (* 8/3 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8/3 binary64) x))
(+ 1 (+ (* 8/3 (/ 1 x)) (/ 32/9 (pow x 2))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 8/3 binary64) x) (/.f64 #s(literal 32/9 binary64) (*.f64 x x))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 32/9 (* 200/27 (/ 1 x))) x)) 8/3) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -32/9 binary64) (/.f64 #s(literal -200/27 binary64) x)) x) #s(literal -8/3 binary64)) x))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(+ 1 (* x (+ 1/2 (* -1/12 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/12 binary64)))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/24 x) 1/12)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/12 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(/ -4 (pow x 3))
(/.f64 #s(literal -4 binary64) (.f64 x (.f64 x x)))
(* -1 (/ (+ 4 (* 16/3 (/ 1 x))) (pow x 3)))
(/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -16/3 binary64) x)) (.f64 x (.f64 x x)))
(/ (- (/ 8/9 (pow x 2)) (+ 4 (* 16/3 (/ 1 x)))) (pow x 3))
(/.f64 (+.f64 #s(literal -4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8/9 binary64) x) #s(literal -16/3 binary64)) x)) (.f64 x (.f64 x x)))
(/ (- (/ 8/9 (pow x 2)) (+ 4 (+ (* 16/3 (/ 1 x)) (* 112/27 (/ 1 (pow x 3)))))) (pow x 3))
(/.f64 (+.f64 (+.f64 #s(literal -4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8/9 binary64) x) #s(literal -16/3 binary64)) x)) (/.f64 #s(literal -112/27 binary64) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))
(/ -4 (pow x 3))
(/.f64 #s(literal -4 binary64) (.f64 x (.f64 x x)))
(* -1 (/ (+ 4 (* 16/3 (/ 1 x))) (pow x 3)))
(/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -16/3 binary64) x)) (.f64 x (.f64 x x)))
(* -1 (/ (+ 4 (* -1 (/ (- (* 8/9 (/ 1 x)) 16/3) x))) (pow x 3)))
(/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8/9 binary64) x) #s(literal -16/3 binary64)) x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))
(* -1 (/ (+ 4 (* -1 (/ (- (* -1 (/ (- (* 112/27 (/ 1 x)) 8/9) x)) 16/3) x))) (pow x 3)))
(/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 8/9 binary64) (/.f64 #s(literal -112/27 binary64) x)) x) #s(literal -16/3 binary64)) x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))
-1
#s(literal -1 binary64)
(- (* -1/2 x) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(- (* x (- (* -1/3 x) 1/2)) 1)
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -1/3 binary64)))))
(- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))
(* -1/4 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/4 binary64))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(.f64 x (.f64 x (*.f64 x (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
(* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))
(.f64 x (.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))))
(* -1/4 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/4 binary64))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(.f64 x (.f64 x (*.f64 x (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal -1/2 binary64) (.f64 x x))))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x)))))
(.f64 x (.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* x (- (* -1/3 x) 1/2))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -1/3 binary64))))
(* x (- (* x (- (* -1/4 x) 1/3)) 1/2))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))
(* x (- (* x (- (* -1/4 x) 1/3)) 1/2))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))
(* -1/4 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/4 binary64))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(.f64 x (.f64 x (*.f64 x (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
(* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* -1/4 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/4 binary64))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(.f64 x (.f64 x (*.f64 x (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal -1/2 binary64) (.f64 x x))))
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal -1/2 binary64) (.f64 x x))))
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1/2 x) 1)) 1)
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64)))))
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))
1
#s(literal 1 binary64)
(+ 1 (* 8/3 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8/3 binary64) x))
(+ 1 (+ (* 8/3 (/ 1 x)) (/ 32/9 (pow x 2))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 8/3 binary64) x) (/.f64 #s(literal 32/9 binary64) (*.f64 x x))))
(+ 1 (+ (* 8/3 (/ 1 x)) (+ (* 200/27 (/ 1 (pow x 3))) (/ 32/9 (pow x 2)))))
(+.f64 (/.f64 #s(literal 8/3 binary64) x) (+.f64 (/.f64 #s(literal 200/27 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 32/9 binary64) (*.f64 x x)))))
1
#s(literal 1 binary64)
(+ 1 (* 8/3 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8/3 binary64) x))
(+ 1 (+ (* 8/3 (/ 1 x)) (/ 32/9 (pow x 2))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 8/3 binary64) x) (/.f64 #s(literal 32/9 binary64) (*.f64 x x))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 32/9 (* 200/27 (/ 1 x))) x)) 8/3) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -32/9 binary64) (/.f64 #s(literal -200/27 binary64) x)) x) #s(literal -8/3 binary64)) x))
-1
#s(literal -1 binary64)
(- (* -1/2 x) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(- (* x (- (* -1/3 x) 1/2)) 1)
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -1/3 binary64)))))
(- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))
(* -1/4 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/4 binary64))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(.f64 x (.f64 x (*.f64 x (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
(* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))
(.f64 x (.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))))
(* -1/4 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/4 binary64))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(.f64 x (.f64 x (*.f64 x (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal -1/2 binary64) (.f64 x x))))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x)))))
(.f64 x (.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(+ 1 (* x (+ 1/2 (* -1/12 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/12 binary64)))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/24 x) 1/12)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/12 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(/ -4 (pow x 3))
(/.f64 #s(literal -4 binary64) (.f64 x (.f64 x x)))
(* -1 (/ (+ 4 (* 16/3 (/ 1 x))) (pow x 3)))
(/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -16/3 binary64) x)) (.f64 x (.f64 x x)))
(/ (- (/ 8/9 (pow x 2)) (+ 4 (* 16/3 (/ 1 x)))) (pow x 3))
(/.f64 (+.f64 #s(literal -4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8/9 binary64) x) #s(literal -16/3 binary64)) x)) (.f64 x (.f64 x x)))
(/ (- (/ 8/9 (pow x 2)) (+ 4 (+ (* 16/3 (/ 1 x)) (* 112/27 (/ 1 (pow x 3)))))) (pow x 3))
(/.f64 (+.f64 (+.f64 #s(literal -4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8/9 binary64) x) #s(literal -16/3 binary64)) x)) (/.f64 #s(literal -112/27 binary64) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))
(/ -4 (pow x 3))
(/.f64 #s(literal -4 binary64) (.f64 x (.f64 x x)))
(* -1 (/ (+ 4 (* 16/3 (/ 1 x))) (pow x 3)))
(/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -16/3 binary64) x)) (.f64 x (.f64 x x)))
(* -1 (/ (+ 4 (* -1 (/ (- (* 8/9 (/ 1 x)) 16/3) x))) (pow x 3)))
(/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8/9 binary64) x) #s(literal -16/3 binary64)) x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))
(* -1 (/ (+ 4 (* -1 (/ (- (* -1 (/ (- (* 112/27 (/ 1 x)) 8/9) x)) 16/3) x))) (pow x 3)))
(/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 8/9 binary64) (/.f64 #s(literal -112/27 binary64) x)) x) #s(literal -16/3 binary64)) x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(+ 1 (* x (- (* 1/3 x) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))
(+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))
(* -1/4 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/4 binary64))
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4))
(.f64 x (.f64 x (*.f64 x (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
(* (pow x 3) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(.f64 (.f64 x x) (*.f64 x (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))))
(* (pow x 3) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (*.f64 x (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))))
(* -1/4 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/4 binary64))
(* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x)))))
(.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x (*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/3 binary64) x)))))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 x))) x)))))
(.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x))) x)))))
(.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x))))
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1/2 x) 1)) 1)
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64)))))
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))
(* -5/12 (pow x 3))
(.f64 x (.f64 #s(literal -5/12 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(.f64 x (.f64 (*.f64 x x) (+.f64 #s(literal -5/12 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(.f64 (.f64 x (*.f64 x x)) (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))
(* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 5/12 (* 1/2 (/ 1 x)))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)))
(* -5/12 (pow x 3))
(.f64 x (.f64 #s(literal -5/12 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(.f64 x (.f64 (*.f64 x x) (+.f64 #s(literal -5/12 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (+.f64 #s(literal -5/12 binary64) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1 binary64) (.f64 x x))))
(* -1 (* (pow x 3) (+ 5/12 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x)))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
-1
#s(literal -1 binary64)
(- (* -1/2 (pow x 2)) 1)
(+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(- (* (pow x 2) (- (* -5/12 x) 1/2)) 1)
(+.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64))) (*.f64 x x)))
(- (* (pow x 2) (- (* -5/12 x) 1/2)) 1)
(+.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64))) (*.f64 x x)))
(* -5/12 (pow x 3))
(.f64 x (.f64 #s(literal -5/12 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(.f64 x (.f64 (*.f64 x x) (+.f64 #s(literal -5/12 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) x)) 5/12))
(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))) x))))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) x)) 5/12))
(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))) x))))
(* -5/12 (pow x 3))
(.f64 x (.f64 #s(literal -5/12 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(.f64 x (.f64 (*.f64 x x) (+.f64 #s(literal -5/12 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))))))
(+.f64 #s(literal -1 binary64) (.f64 x (.f64 (*.f64 x x) (+.f64 #s(literal -5/12 binary64) (/.f64 #s(literal -1/2 binary64) x)))))
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))))))
(+.f64 #s(literal -1 binary64) (.f64 x (.f64 (*.f64 x x) (+.f64 #s(literal -5/12 binary64) (/.f64 #s(literal -1/2 binary64) x)))))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* (pow x 2) (- (* -5/12 x) 1/2))
(.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64))) (*.f64 x x))
(* (pow x 2) (- (* -5/12 x) 1/2))
(.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64))) (*.f64 x x))
(* (pow x 2) (- (* -5/12 x) 1/2))
(.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64))) (*.f64 x x))
(* -5/12 (pow x 3))
(.f64 x (.f64 #s(literal -5/12 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(.f64 x (.f64 (*.f64 x x) (+.f64 #s(literal -5/12 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(.f64 x (.f64 (*.f64 x x) (+.f64 #s(literal -5/12 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(.f64 x (.f64 (*.f64 x x) (+.f64 #s(literal -5/12 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(* -5/12 (pow x 3))
(.f64 x (.f64 #s(literal -5/12 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(.f64 x (.f64 (*.f64 x x) (+.f64 #s(literal -5/12 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(.f64 x (.f64 (*.f64 x x) (+.f64 #s(literal -5/12 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(.f64 x (.f64 (*.f64 x x) (+.f64 #s(literal -5/12 binary64) (/.f64 #s(literal -1/2 binary64) x))))
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1/2 x) 1)) 1)
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64)))))
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))
1
#s(literal 1 binary64)
(+ 1 (* 8/3 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8/3 binary64) x))
(+ 1 (+ (* 8/3 (/ 1 x)) (/ 32/9 (pow x 2))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 8/3 binary64) x) (/.f64 #s(literal 32/9 binary64) (*.f64 x x))))
(+ 1 (+ (* 8/3 (/ 1 x)) (+ (* 200/27 (/ 1 (pow x 3))) (/ 32/9 (pow x 2)))))
(+.f64 (/.f64 #s(literal 8/3 binary64) x) (+.f64 (/.f64 #s(literal 200/27 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 32/9 binary64) (*.f64 x x)))))
1
#s(literal 1 binary64)
(+ 1 (* 8/3 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8/3 binary64) x))
(+ 1 (+ (* 8/3 (/ 1 x)) (/ 32/9 (pow x 2))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 8/3 binary64) x) (/.f64 #s(literal 32/9 binary64) (*.f64 x x))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 32/9 (* 200/27 (/ 1 x))) x)) 8/3) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -32/9 binary64) (/.f64 #s(literal -200/27 binary64) x)) x) #s(literal -8/3 binary64)) x))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* x (- (* -1/4 x) 1/3))
(.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x #s(literal -1/4 binary64))))
(* x (- (* -1/4 x) 1/3))
(.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x #s(literal -1/4 binary64))))
(* x (- (* -1/4 x) 1/3))
(.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x #s(literal -1/4 binary64))))
(* -1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/4 binary64))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(.f64 x (.f64 x (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(.f64 x (.f64 x (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(.f64 x (.f64 x (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(* -1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/4 binary64))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(.f64 x (.f64 x (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(.f64 x (.f64 x (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(.f64 x (.f64 x (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* x (+ 1/3 (* -1/4 x)))
(.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* -1/4 x)))
(.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* -1/4 x)))
(.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))
(* -1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/4 binary64))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(* -1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/4 binary64))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* -1/4 x))
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))
(+ 1/3 (* -1/4 x))
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))
(+ 1/3 (* -1/4 x))
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 x (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 x (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 x (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/3 binary64) x))))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/3 binary64) x))))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/3 binary64) x))))
(* -5/12 x)
(*.f64 x #s(literal -5/12 binary64))
(* -5/12 x)
(*.f64 x #s(literal -5/12 binary64))
(* -5/12 x)
(*.f64 x #s(literal -5/12 binary64))
(* -5/12 x)
(*.f64 x #s(literal -5/12 binary64))
(* -5/12 x)
(*.f64 x #s(literal -5/12 binary64))
(* -5/12 x)
(*.f64 x #s(literal -5/12 binary64))
(* -5/12 x)
(*.f64 x #s(literal -5/12 binary64))
(* -5/12 x)
(*.f64 x #s(literal -5/12 binary64))
(* -5/12 x)
(*.f64 x #s(literal -5/12 binary64))
(* -5/12 x)
(*.f64 x #s(literal -5/12 binary64))
(* -5/12 x)
(*.f64 x #s(literal -5/12 binary64))
(* -5/12 x)
(*.f64 x #s(literal -5/12 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* x (- (* -5/12 x) 1/2))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64))))
(* x (- (* -5/12 x) 1/2))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64))))
(* x (- (* -5/12 x) 1/2))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64))))
(* -5/12 (pow x 2))
(.f64 #s(literal -5/12 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(.f64 (.f64 x x) (+.f64 #s(literal -5/12 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(.f64 (.f64 x x) (+.f64 #s(literal -5/12 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(.f64 (.f64 x x) (+.f64 #s(literal -5/12 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* -5/12 (pow x 2))
(.f64 #s(literal -5/12 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(.f64 (.f64 x x) (+.f64 #s(literal -5/12 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(.f64 (.f64 x x) (+.f64 #s(literal -5/12 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(.f64 (.f64 x x) (+.f64 #s(literal -5/12 binary64) (/.f64 #s(literal -1/2 binary64) x)))

eval661.0ms (2.3%)

Compiler: Compiled 53276 to 2534 computations (95.2% saved)

prune327.0ms (1.1%)

Pruning

13 alts after pruning (7 fresh and 6 done)

	Pruned	Kept	Total
New	1298	7	1305
Fresh	0	0	0
Picked	4	0	4
Done	1	6	7
Total	1303	13	1316

Accuracy

100.0%

Counts

1316 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(/.f64 (+.f64 (+.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
	99.3%	(/.f64 (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
✓	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	4.9%	(/.f64 (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) x))) (log1p.f64 (*.f64 x x))))
	99.2%	(-.f64 (+.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64))) (*.f64 x x))) x)
✓	98.9%	(-.f64 #s(literal -1 binary64) x)
	99.1%	(+.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
✓	99.2%	(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))
✓	99.1%	(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64)))))
	99.3%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))) (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))) #s(literal -1 binary64)))
	99.3%	(.f64 (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) (/.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))))
	98.9%	(.f64 (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
✓	98.1%	#s(literal -1 binary64)

Compiler

Compiled 636 to 245 computations (61.5% saved)

regimes26.0ms (0.1%)

Counts

23 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)
(-.f64 #s(literal -1 binary64) x)
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64)))))
(+.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))
(-.f64 (+.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64))) (*.f64 x x))) x)
(+.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))) #s(literal -1 binary64)))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))) (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))) #s(literal -1 binary64)))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
(/.f64 (+.f64 (+.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) (/.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))) (.f64 (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) #s(literal 1 binary64)))
(/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))))))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) (.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))))
(/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))))))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
(/.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) x)) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (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) x))) (log1p.f64 (*.f64 x x))))

Outputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

Calls

2 calls:

9.0ms	x
9.0ms	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes12.0ms (0%)

Counts

18 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)
(-.f64 #s(literal -1 binary64) x)
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64)))))
(+.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))
(-.f64 (+.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64))) (*.f64 x x))) x)
(+.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))) #s(literal -1 binary64)))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))) (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))) #s(literal -1 binary64)))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
(/.f64 (+.f64 (+.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) (/.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))) (.f64 (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) #s(literal 1 binary64)))
(/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))))))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) (.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))))
(/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))))))

Outputs

(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) (/.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))))

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
99.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0%)

Counts

12 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)
(-.f64 #s(literal -1 binary64) x)
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64)))))
(+.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))
(-.f64 (+.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64))) (*.f64 x x))) x)
(+.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))) #s(literal -1 binary64)))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))) (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))) #s(literal -1 binary64)))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
(/.f64 (+.f64 (+.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))

Outputs

(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))) (+.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))) #s(literal -1 binary64)))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
99.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0%)

Counts

9 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)
(-.f64 #s(literal -1 binary64) x)
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64)))))
(+.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))
(-.f64 (+.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64))) (*.f64 x x))) x)
(+.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))) #s(literal -1 binary64)))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))

Outputs

(/.f64 (+.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes15.0ms (0%)

Counts

8 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)
(-.f64 #s(literal -1 binary64) x)
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64)))))
(+.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))
(-.f64 (+.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -5/12 binary64))) (*.f64 x x))) x)
(+.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))) #s(literal -1 binary64)))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))

Outputs
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
99.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

4 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)
(-.f64 #s(literal -1 binary64) x)
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64)))))
(+.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))

Outputs
(+.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)
(-.f64 #s(literal -1 binary64) x)

Outputs
(-.f64 #s(literal -1 binary64) x)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.9%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)

Outputs
#s(literal -1 binary64)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify20.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

30×	`*-commutative_binary64`
30×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`unsub-neg_binary64`
2×	`1-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	129
1	79	128
2	83	128

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) (/.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))) (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))) #s(literal -1 binary64)))
(/.f64 (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))
(+.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64)))))
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)

Outputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) x)) (log1p.f64 x))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) (/.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))))
(.f64 (/.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))) (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))) (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))))
(/.f64 (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))
(+.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))) x)
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64)))))
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)

soundness5.5s (19%)

Rules

4596×	`-lowering-.f32`
4596×	`-lowering-.f64`
4134×	`+-lowering-+.f64`
4134×	`+-lowering-+.f32`
3418×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	544	3873
1	1919	3322
2	7750	3320
0	8672	3320
0	7	7
1	13	6
2	18	6
3	24	6
4	33	6
5	46	6
6	63	6
7	81	6
8	98	6
9	100	6
0	100	6
0	35	230
1	245	179
2	2459	178
0	8993	178
0	217	1971
1	739	1725
2	2433	1593
0	8384	1593
0	34	147
1	235	135
2	2159	129
0	10109	129
0	7	26
1	37	24
2	256	24
3	2322	22
0	11278	22
0	35	142
1	254	120
2	2513	119
0	8252	119
0	221	1730
1	700	1625
2	2379	1592
3	7663	1586
0	8277	1586

Stop Event

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

Compiler

Compiled 495 to 300 computations (39.4% saved)

preprocess165.0ms (0.6%)

Compiler: Compiled 294 to 112 computations (61.9% saved)

Iter	Nodes	Cost
0	14	25
1	32	19
2	52	19
3	102	19
4	178	19
5	273	19
6	361	19
7	407	19
8	447	19
9	451	19
10	453	19
0	7	7
1	13	6
2	18	6
3	24	6
4	33	6
5	46	6
6	63	6
7	81	6
8	98	6
9	100	6
0	100	6

Iter	Nodes	Cost
0	14	25
1	32	19
2	52	19
3	102	19
4	178	19
5	273	19
6	361	19
7	407	19
8	447	19
9	451	19
10	453	19
0	7	7
1	13	6
2	18	6
3	24	6
4	33	6
5	46	6
6	63	6
7	81	6
8	98	6
9	100	6
0	100	6

analyze840.0ms (2.9%)

sample8.1s (27.7%)

preprocess50.0ms (0.2%)

explain514.0ms (1.8%)

eval1.0ms (0%)

prune3.0ms (0%)

simplify15.0ms (0.1%)

localize428.0ms (1.5%)

series30.0ms (0.1%)

rewrite640.0ms (2.2%)

simplify706.0ms (2.4%)

eval289.0ms (1%)

prune265.0ms (0.9%)

simplify437.0ms (1.5%)

localize1.3s (4.6%)

series65.0ms (0.2%)

rewrite622.0ms (2.1%)

simplify852.0ms (2.9%)

eval276.0ms (0.9%)

prune197.0ms (0.7%)

simplify571.0ms (2%)

localize999.0ms (3.4%)

series31.0ms (0.1%)

rewrite825.0ms (2.8%)

simplify724.0ms (2.5%)

eval261.0ms (0.9%)

prune176.0ms (0.6%)

simplify447.0ms (1.5%)

localize919.0ms (3.2%)

series17.0ms (0.1%)

rewrite932.0ms (3.2%)

simplify771.0ms (2.7%)

eval661.0ms (2.3%)

prune327.0ms (1.1%)

regimes26.0ms (0.1%)

regimes12.0ms (0%)

regimes8.0ms (0%)

regimes7.0ms (0%)

regimes15.0ms (0%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

simplify20.0ms (0.1%)

soundness5.5s (19%)

preprocess165.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	14	25
1	32	19
2	52	19
3	102	19
4	178	19
5	273	19
6	361	19
7	407	19
8	447	19
9	451	19
10	453	19
0	7	7
1	13	6
2	18	6
3	24	6
4	33	6
5	46	6
6	63	6
7	81	6
8	98	6
9	100	6
0	100	6