Metrics for Hyperbolic arc-cosine

analyze72.0ms (0.6%)

Memory

13.6MiB live, 127.1MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	100%	0%	0%	0%	0%	3
16.7%	12.5%	62.5%	0%	0%	25%	0%	4
30%	18.7%	43.7%	0%	0%	37.5%	0%	5
38.9%	21.9%	34.4%	0%	0%	43.7%	0%	6
44.1%	23.4%	29.7%	0%	0%	46.9%	0%	7
47%	24.2%	27.3%	0%	0%	48.4%	0%	8
48.5%	24.6%	26.2%	0%	0%	49.2%	0%	9
49.2%	24.8%	25.6%	0%	0%	49.6%	0%	10
49.6%	24.9%	25.3%	0%	0%	49.8%	0%	11
49.8%	24.9%	25.1%	0%	0%	49.9%	0%	12

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample2.9s (25%)

Memory

28.2MiB live, 2 913.4MiB allocated

Samples

1.3s	7 938×	1	invalid
1.0s	8 256×	0	valid
21.0ms	370×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

ival-log: 355.0ms (25.2% of total)

ival-mult: 294.0ms (20.8% of total)

adjust: 206.0ms (14.6% of total)

ival-sqrt: 201.0ms (14.2% of total)

ival-sub: 165.0ms (11.7% of total)

ival-add: 153.0ms (10.8% of total)

exact: 16.0ms (1.1% of total)

ival-true: 14.0ms (1% of total)

ival-assert: 7.0ms (0.5% of total)

Bogosity

preprocess876.0ms (7.5%)

Memory

36.6MiB live, 1 275.7MiB allocated

Algorithm

2×	egg-herbie

Rules

29 894×	`accelerator-lowering-fma.f32`
29 894×	`accelerator-lowering-fma.f64`
4 210×	`-lowering-.f32`
4 210×	`-lowering-.f64`
2 884×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	30
1	37	28
2	69	28
3	157	28
4	340	28
5	639	28
6	1145	28
7	2371	28
8	3401	28
9	4047	28
10	4339	28
11	4647	28
12	4797	28
13	4870	28
14	5081	28
15	5848	28
16	6029	28
17	7742	28
0	7	9
1	16	9
2	20	9
3	35	9
4	66	9
5	127	9
6	287	9
7	567	9
8	2049	9
9	3153	9
10	4418	9
11	5102	9
12	5404	9
13	5589	9
14	5691	9
15	6010	9
16	6556	9
17	7667	9
0	8087	8

Stop Event

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

Calls

Call 1

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

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

Call 2

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

Outputs
(log (+ x (sqrt (- (* x x) 1))))
(log (+ x (sqrt (+ (* x x) -1))))
(log (+ (neg x) (sqrt (- (* (neg x) (neg x)) 1))))
(log (- (sqrt (+ (* x x) -1)) x))
(neg (log (+ (neg x) (sqrt (- (* (neg x) (neg x)) 1)))))
(neg (log (- (sqrt (+ (* x x) -1)) x)))

explain119.0ms (1%)

Memory

-34.1MiB live, 270.4MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))`	oflow-rescue	130	0
↳	`(-.f64 (*.f64 x x) #s(literal 1 binary64))`	overflow	130
↳	`(*.f64 x x)`	overflow	130
`log.f64`	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))`	oflow-rescue	1	0
↳	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))`	overflow	1
↳	`(-.f64 (*.f64 x x) #s(literal 1 binary64))`	overflow	130
↳	`(*.f64 x x)`	overflow	130

Confusion

	Predicted +	Predicted -
+	130	0
-	0	126

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	130	0	0
-	0	0	126

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	126
1	129
2	1

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

38.0ms

512×

valid

Compiler

Compiled 90 to 32 computations (64.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-log: 8.0ms (36.2% of total)

ival-mult: 4.0ms (18.1% of total)

ival-sqrt: 4.0ms (18.1% of total)

ival-add: 3.0ms (13.6% of total)

ival-sub: 2.0ms (9.1% of total)

ival-true: 1.0ms (4.5% of total)

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.8%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))

Compiler

Compiled 10 to 7 computations (30% saved)

simplify708.0ms (6.1%)

Memory

1.5MiB live, 1 223.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

29 894×	`accelerator-lowering-fma.f32`
29 894×	`accelerator-lowering-fma.f64`
4 210×	`-lowering-.f32`
4 210×	`-lowering-.f64`
2 884×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize26.0ms (0.2%)

Memory

-4.8MiB live, 76.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
✓	accuracy	99.6%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
✓	accuracy	52.8%	(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))

Samples

17.0ms

256×

valid

Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-log: 3.0ms (28.6% of total)

ival-mult: 3.0ms (28.6% of total)

ival-sqrt: 2.0ms (19.1% of total)

ival-sub: 1.0ms (9.5% of total)

ival-add: 1.0ms (9.5% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0%)

Memory

14.2MiB live, 14.2MiB allocated

Counts

5 → 60

Calls

Call 1

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

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

Calls

15 calls:

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

rewrite357.0ms (3.1%)

Memory

-16.9MiB live, 499.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 994×	`accelerator-lowering-fma.f32`
4 994×	`accelerator-lowering-fma.f64`
3 230×	`-lowering-.f32`
3 230×	`-lowering-.f64`
2 612×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 328

Calls

Call 1

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

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

simplify447.0ms (3.8%)

Memory

35.1MiB live, 424.6MiB allocated

Algorithm

1×	egg-herbie

Rules

10 204×	`accelerator-lowering-fma.f32`
10 204×	`accelerator-lowering-fma.f64`
3 650×	`-lowering-.f32`
3 650×	`-lowering-.f64`
2 854×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

eval90.0ms (0.8%)

Memory: -19.1MiB live, 54.5MiB allocated
Compiler: Compiled 11 389 to 1 605 computations (85.9% saved)

prune84.0ms (0.7%)

Memory

-28.8MiB live, 82.0MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

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

Accuracy

100.0%

Counts

389 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
▶	99.3%	(log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))))
▶	99.3%	(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)))
▶	99.2%	(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) x)))
✓	50.8%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
▶	99.1%	(log.f64 (+.f64 x x))

Compiler

Compiled 130 to 91 computations (30% saved)

simplify484.0ms (4.1%)

Memory

44.7MiB live, 237.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

6 196×	`accelerator-lowering-fma.f32`
6 196×	`accelerator-lowering-fma.f64`
2 096×	`-lowering-.f32`
2 096×	`-lowering-.f64`
1 370×	`neg-lowering-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	220
1	59	208
2	119	208
3	252	208
4	385	208
5	591	208
6	1340	208
7	4557	208
0	8345	196

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize236.0ms (2%)

Memory

-18.0MiB live, 139.7MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log.f64 x)
✓	accuracy	100.0%	(log.f64 #s(literal 2 binary64))
✓	accuracy	99.7%	(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	99.6%	(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)))
✓	accuracy	98.8%	(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
✓	accuracy	100.0%	(/.f64 #s(literal -1/2 binary64) x)
✓	accuracy	100.0%	(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) x))
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	99.6%	(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) x)))
✓	accuracy	100.0%	(+.f64 x x)
✓	accuracy	99.6%	(log.f64 (+.f64 x x))
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	99.6%	(log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))))
✓	accuracy	99.0%	(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
✓	accuracy	98.9%	(/.f64 #s(literal -1/16 binary64) (*.f64 x x))

Samples

104.0ms

256×

valid

Compiler

Compiled 236 to 32 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-log: 39.0ms (60.9% of total)

ival-div: 9.0ms (14.1% of total)

ival-add: 8.0ms (12.5% of total)

ival-mult: 7.0ms (10.9% of total)

ival-sub: 1.0ms (1.6% of total)

exact: 1.0ms (1.6% of total)

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

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

series271.0ms (2.3%)

Memory

25.9MiB live, 169.5MiB allocated

Counts

20 → 228

Calls

Call 1

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

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

Calls

57 calls:

Time	Variable		Point	Expression
73.0ms	x	@	-inf	(+ (log 2) (log x))
64.0ms	x	@	-inf	(log (+ x x))
61.0ms	x	@	0	(+ (log 2) (log x))
48.0ms	x	@	0	(log (+ x x))
6.0ms	x	@	inf	(log (+ x x))

rewrite657.0ms (5.6%)

Memory

-1.3MiB live, 805.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

12 254×	`accelerator-lowering-fma.f32`
12 254×	`accelerator-lowering-fma.f64`
4 514×	`/-lowering-/.f32`
4 514×	`/-lowering-/.f64`
3 434×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	149
1	186	129
2	2079	129
0	8120	121

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 1 671

Calls

Call 1

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

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

simplify446.0ms (3.8%)

Memory

8.8MiB live, 758.4MiB allocated

Algorithm

1×	egg-herbie

Rules

13 240×	`accelerator-lowering-fma.f32`
13 240×	`accelerator-lowering-fma.f64`
4 052×	`+-lowering-+.f64`
4 052×	`+-lowering-+.f32`
3 502×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	233	1884
1	608	1782
2	1602	1751
3	4172	1716
0	8150	1651

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

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

eval306.0ms (2.6%)

Memory: 26.7MiB live, 527.1MiB allocated
Compiler: Compiled 57 104 to 4 694 computations (91.8% saved)

prune194.0ms (1.7%)

Memory

5.7MiB live, 518.1MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	2 204	1	2 205
Fresh	0	0	0
Picked	0	5	5
Done	0	1	1
Total	2 204	7	2 211

Accuracy

100.0%

Counts

2 211 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
✓	99.3%	(log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))))
▶	99.3%	(log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))))))
✓	99.3%	(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)))
✓	99.2%	(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) x)))
✓	50.8%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
✓	99.1%	(log.f64 (+.f64 x x))

Compiler

Compiled 89 to 62 computations (30.3% saved)

simplify263.0ms (2.2%)

Memory

-6.0MiB live, 402.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

6 092×	`-lowering-.f32`
6 092×	`-lowering-.f64`
3 220×	`cube-prod`
2 324×	`pow-lowering-pow.f64`
2 324×	`pow-lowering-pow.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	76
1	29	64
2	63	64
3	121	64
4	155	64
5	277	64
6	873	64
7	2321	64
8	2762	64
9	2924	64
10	3259	64
11	3757	64
12	4438	64
13	4717	64
14	4855	64
15	4966	64
16	5064	64
17	5182	64
18	6126	64
19	7473	64
0	8025	61

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize50.0ms (0.4%)

Memory

-5.3MiB live, 108.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	99.6%	(log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))))))
✓	accuracy	99.0%	(/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))

Samples

34.0ms

256×

valid

Compiler

Compiled 92 to 15 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 8.0ms (41.5% of total)

ival-div: 6.0ms (31.1% of total)

ival-log: 3.0ms (15.5% of total)

ival-add: 2.0ms (10.4% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0%)

Memory

11.0MiB live, 11.0MiB allocated

Counts

7 → 84

Calls

Call 1

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

Outputs
#<alt (/ -1/8 (pow x 3))>
#<alt (/ (- (* 2 (pow x 4)) 1/8) (pow x 3))>
#<alt (/ (- (* 2 (pow x 4)) 1/8) (pow x 3))>
#<alt (/ (- (* 2 (pow x 4)) 1/8) (pow x 3))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* x (- 2 (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* x (- 2 (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))>
#<alt (* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))>
#<alt (* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))>
#<alt (+ (log -1/8) (* -3 (log x)))>
#<alt (+ (log -1/8) (+ (* -3 (log x)) (* 4 (pow x 2))))>
#<alt (+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* -24 (pow x 2))))))>
#<alt (+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 256/3 (pow x 2)) 24))))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (/ -1/2 x)>
#<alt (/ -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 (/ -1/8 (pow x 4))>
#<alt (/ -1/8 (pow x 4))>
#<alt (/ -1/8 (pow x 4))>
#<alt (/ -1/8 (pow x 4))>
#<alt (/ -1/8 (pow x 4))>
#<alt (/ -1/8 (pow x 4))>
#<alt (/ -1/8 (pow x 4))>
#<alt (/ -1/8 (pow x 4))>
#<alt (/ -1/8 (pow x 4))>
#<alt (/ -1/8 (pow x 4))>
#<alt (/ -1/8 (pow x 4))>
#<alt (/ -1/8 (pow x 4))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>

Calls

21 calls:

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

rewrite361.0ms (3.1%)

Memory

-26.6MiB live, 652.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 724×	`accelerator-lowering-fma.f32`
6 724×	`accelerator-lowering-fma.f64`
5 646×	`-lowering-.f32`
5 646×	`-lowering-.f64`
3 940×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	60
1	73	50
2	672	50
0	8804	45

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 424

Calls

Call 1

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

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

simplify401.0ms (3.4%)

Memory

3.3MiB live, 365.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 910×	`accelerator-lowering-fma.f32`
8 910×	`accelerator-lowering-fma.f64`
2 544×	`-lowering-.f32`
2 544×	`-lowering-.f64`
2 010×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	620
1	281	604
2	755	602
3	1920	574
4	5406	556
0	8101	529

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

Inputs
(/ -1/8 (pow x 3))
(/ (- (* 2 (pow x 4)) 1/8) (pow x 3))
(/ (- (* 2 (pow x 4)) 1/8) (pow x 3))
(/ (- (* 2 (pow x 4)) 1/8) (pow x 3))
(* 2 x)
(* x (- 2 (* 1/8 (/ 1 (pow x 4)))))
(* x (- 2 (* 1/8 (/ 1 (pow x 4)))))
(* x (- 2 (* 1/8 (/ 1 (pow x 4)))))
(* 2 x)
(* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))
(* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))
(* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))
(+ (log -1/8) (* -3 (log x)))
(+ (log -1/8) (+ (* -3 (log x)) (* 4 (pow x 2))))
(+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* -24 (pow x 2))))))
(+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 256/3 (pow x 2)) 24))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/8 (pow x 3))
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))
(/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))
(/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/8 (pow x 4))
(/ -1/8 (pow x 4))
(/ -1/8 (pow x 4))
(/ -1/8 (pow x 4))
(/ -1/8 (pow x 4))
(/ -1/8 (pow x 4))
(/ -1/8 (pow x 4))
(/ -1/8 (pow x 4))
(/ -1/8 (pow x 4))
(/ -1/8 (pow x 4))
(/ -1/8 (pow x 4))
(/ -1/8 (pow x 4))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)

Outputs
(/ -1/8 (pow x 3))
(/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))
(/ (- (* 2 (pow x 4)) 1/8) (pow x 3))
(+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x x))))
(/ (- (* 2 (pow x 4)) 1/8) (pow x 3))
(+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x x))))
(/ (- (* 2 (pow x 4)) 1/8) (pow x 3))
(+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x x))))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (- 2 (* 1/8 (/ 1 (pow x 4)))))
(+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x x))))
(* x (- 2 (* 1/8 (/ 1 (pow x 4)))))
(+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x x))))
(* x (- 2 (* 1/8 (/ 1 (pow x 4)))))
(+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x x))))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))
(+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x x))))
(* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))
(+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x x))))
(* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))
(+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x x))))
(+ (log -1/8) (* -3 (log x)))
(+.f64 (log.f64 #s(literal -1/8 binary64)) (*.f64 #s(literal -3 binary64) (log.f64 x)))
(+ (log -1/8) (+ (* -3 (log x)) (* 4 (pow x 2))))
(+.f64 (log.f64 #s(literal -1/8 binary64)) (+.f64 (.f64 #s(literal -3 binary64) (log.f64 x)) (.f64 #s(literal 4 binary64) (*.f64 x x))))
(+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* -24 (pow x 2))))))
(+.f64 (log.f64 #s(literal -1/8 binary64)) (+.f64 (.f64 #s(literal -3 binary64) (log.f64 x)) (.f64 (.f64 x x) (+.f64 #s(literal 4 binary64) (.f64 x (*.f64 x #s(literal -24 binary64)))))))
(+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 256/3 (pow x 2)) 24))))))
(+.f64 (+.f64 (log.f64 #s(literal -1/8 binary64)) (.f64 #s(literal -3 binary64) (log.f64 x))) (.f64 (.f64 x x) (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -24 binary64) (.f64 (*.f64 x x) #s(literal 256/3 binary64))))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/32 binary64) (.f64 x x))) (.f64 x x))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 3/32 binary64) (/.f64 #s(literal 1/48 binary64) (.f64 x x))) (.f64 x x)) #s(literal 1/4 binary64))))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (/.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/32 binary64) (.f64 x x))) (.f64 x x)) (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal -2 binary64)) (-.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 3/32 binary64) (/.f64 #s(literal 1/48 binary64) (.f64 x x))) (.f64 x x)) #s(literal 1/4 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(/ -1/8 (pow x 3))
(/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)
(/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))
(+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x))
(/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))
(+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) x))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) x))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/8 (pow x 4))
(/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ -1/8 (pow x 4))
(/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ -1/8 (pow x 4))
(/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ -1/8 (pow x 4))
(/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ -1/8 (pow x 4))
(/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ -1/8 (pow x 4))
(/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ -1/8 (pow x 4))
(/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ -1/8 (pow x 4))
(/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ -1/8 (pow x 4))
(/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ -1/8 (pow x 4))
(/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ -1/8 (pow x 4))
(/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ -1/8 (pow x 4))
(/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))

eval138.0ms (1.2%)

Memory: 30.2MiB live, 106.5MiB allocated
Compiler: Compiled 18 935 to 1 854 computations (90.2% saved)

prune154.0ms (1.3%)

Memory

-18.5MiB live, 97.9MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	507	1	508
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	507	8	515

Accuracy

100.0%

Counts

515 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
▶	99.3%	(log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x x))))))
✓	99.3%	(log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))))
✓	99.3%	(log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))))))
✓	99.3%	(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)))
✓	99.2%	(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) x)))
✓	50.8%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
✓	99.1%	(log.f64 (+.f64 x x))

Compiler

Compiled 106 to 74 computations (30.2% saved)

simplify5.0ms (0%)

Memory

6.2MiB live, 6.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

24×	`+-lowering-+.f64`
24×	`+-lowering-+.f32`
14×	`/-lowering-/.f32`
14×	`/-lowering-/.f64`
12×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	57
1	22	57
2	33	57
3	35	57
0	35	54

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize39.0ms (0.3%)

Memory

19.1MiB live, 55.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal -1/2 binary64) x) (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x x)))))
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	99.6%	(log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x x))))))
✓	accuracy	99.5%	(/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))

Samples

22.0ms

256×

valid

Compiler

Compiled 69 to 14 computations (79.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-div: 4.0ms (28.2% of total)

ival-mult: 4.0ms (28.2% of total)

ival-log: 3.0ms (21.2% of total)

ival-add: 2.0ms (14.1% of total)

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

exact: 0.0ms (0% of total)

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

series26.0ms (0.2%)

Memory

-40.9MiB live, 3.5MiB allocated

Counts

6 → 72

Calls

Call 1

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

Outputs
#<alt (+ (log -1/8) (* -3 (log x)))>
#<alt (+ (log -1/8) (+ (* -3 (log x)) (* 4 (pow x 2))))>
#<alt (+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* -24 (pow x 2))))))>
#<alt (+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 256/3 (pow x 2)) 24))))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (/ -1/2 x)>
#<alt (/ -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 (/ -1/8 (pow x 3))>
#<alt (/ (- (* 2 (pow x 4)) 1/8) (pow x 3))>
#<alt (/ (- (* 2 (pow x 4)) 1/8) (pow x 3))>
#<alt (/ (- (* 2 (pow x 4)) 1/8) (pow x 3))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* x (- 2 (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* x (- 2 (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))>
#<alt (* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))>
#<alt (* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ -1/8 (pow x 3))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>

Calls

18 calls:

Time	Variable		Point	Expression
23.0ms	x	@	-inf	(log (+ (/ -1/2 x) (+ (* x 2) (/ -1/8 (* x (* x x))))))
0.0ms	x	@	-inf	(/ -1/8 (* x (* x x)))
0.0ms	x	@	0	(log (+ (/ -1/2 x) (+ (* x 2) (/ -1/8 (* x (* x x))))))
0.0ms	x	@	0	(/ -1/8 (* x (* x x)))
0.0ms	x	@	inf	(/ -1/8 (* x (* x x)))

rewrite621.0ms (5.3%)

Memory

5.8MiB live, 571.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 910×	`-lowering-.f32`
4 910×	`-lowering-.f64`
4 808×	`accelerator-lowering-fma.f32`
4 808×	`accelerator-lowering-fma.f64`
4 700×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	47
1	64	47
2	713	47
0	8408	42

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 315

Calls

Call 1

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

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

simplify463.0ms (4%)

Memory

-9.9MiB live, 512.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 910×	`accelerator-lowering-fma.f32`
8 910×	`accelerator-lowering-fma.f64`
2 544×	`-lowering-.f32`
2 544×	`-lowering-.f64`
2 010×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	584
1	280	568
2	755	566
3	1912	538
4	5366	520
0	8076	493

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

Inputs
(+ (log -1/8) (* -3 (log x)))
(+ (log -1/8) (+ (* -3 (log x)) (* 4 (pow x 2))))
(+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* -24 (pow x 2))))))
(+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 256/3 (pow x 2)) 24))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/8 (pow x 3))
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))
(/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))
(/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/8 (pow x 3))
(/ (- (* 2 (pow x 4)) 1/8) (pow x 3))
(/ (- (* 2 (pow x 4)) 1/8) (pow x 3))
(/ (- (* 2 (pow x 4)) 1/8) (pow x 3))
(* 2 x)
(* x (- 2 (* 1/8 (/ 1 (pow x 4)))))
(* x (- 2 (* 1/8 (/ 1 (pow x 4)))))
(* x (- 2 (* 1/8 (/ 1 (pow x 4)))))
(* 2 x)
(* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))
(* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))
(* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))
(/ -1/8 (pow x 3))
(/ -1/8 (pow x 3))
(/ -1/8 (pow x 3))
(/ -1/8 (pow x 3))
(/ -1/8 (pow x 3))
(/ -1/8 (pow x 3))
(/ -1/8 (pow x 3))
(/ -1/8 (pow x 3))
(/ -1/8 (pow x 3))
(/ -1/8 (pow x 3))
(/ -1/8 (pow x 3))
(/ -1/8 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)

Outputs
(+ (log -1/8) (* -3 (log x)))
(+.f64 (log.f64 #s(literal -1/8 binary64)) (*.f64 #s(literal -3 binary64) (log.f64 x)))
(+ (log -1/8) (+ (* -3 (log x)) (* 4 (pow x 2))))
(+.f64 (.f64 #s(literal -3 binary64) (log.f64 x)) (+.f64 (log.f64 #s(literal -1/8 binary64)) (.f64 x (*.f64 x #s(literal 4 binary64)))))
(+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* -24 (pow x 2))))))
(+.f64 (log.f64 #s(literal -1/8 binary64)) (+.f64 (.f64 #s(literal -3 binary64) (log.f64 x)) (.f64 (.f64 x x) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 x x) #s(literal -24 binary64))))))
(+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 256/3 (pow x 2)) 24))))))
(+.f64 (+.f64 (log.f64 #s(literal -1/8 binary64)) (.f64 #s(literal -3 binary64) (log.f64 x))) (.f64 (.f64 x x) (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -24 binary64) (.f64 (*.f64 x x) #s(literal 256/3 binary64))))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -3/32 binary64) (.f64 x x))) (.f64 x x))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 3/32 binary64) (/.f64 #s(literal 1/48 binary64) (.f64 x x))) (.f64 x x)) #s(literal 1/4 binary64))))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -3/32 binary64) (.f64 x x))) (.f64 x x)) (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 3/32 binary64) (/.f64 #s(literal 1/48 binary64) (.f64 x x))) (.f64 x x)) #s(literal 1/4 binary64))))
(/ -1/8 (pow x 3))
(/.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 x x)) x)
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))
(+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x))
(/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))
(+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) x))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) x))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/8 (pow x 3))
(/.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 x x)) x)
(/ (- (* 2 (pow x 4)) 1/8) (pow x 3))
(+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x x)) x))
(/ (- (* 2 (pow x 4)) 1/8) (pow x 3))
(+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x x)) x))
(/ (- (* 2 (pow x 4)) 1/8) (pow x 3))
(+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x x)) x))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (- 2 (* 1/8 (/ 1 (pow x 4)))))
(+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x x)) x))
(* x (- 2 (* 1/8 (/ 1 (pow x 4)))))
(+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x x)) x))
(* x (- 2 (* 1/8 (/ 1 (pow x 4)))))
(+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x x)) x))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))
(+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x x)) x))
(* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))
(+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x x)) x))
(* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))
(+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x x)) x))
(/ -1/8 (pow x 3))
(/.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 x x)) x)
(/ -1/8 (pow x 3))
(/.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 x x)) x)
(/ -1/8 (pow x 3))
(/.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 x x)) x)
(/ -1/8 (pow x 3))
(/.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 x x)) x)
(/ -1/8 (pow x 3))
(/.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 x x)) x)
(/ -1/8 (pow x 3))
(/.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 x x)) x)
(/ -1/8 (pow x 3))
(/.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 x x)) x)
(/ -1/8 (pow x 3))
(/.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 x x)) x)
(/ -1/8 (pow x 3))
(/.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 x x)) x)
(/ -1/8 (pow x 3))
(/.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 x x)) x)
(/ -1/8 (pow x 3))
(/.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 x x)) x)
(/ -1/8 (pow x 3))
(/.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 x x)) x)
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))

eval50.0ms (0.4%)

Memory: 26.7MiB live, 144.1MiB allocated
Compiler: Compiled 16 955 to 1 504 computations (91.1% saved)

prune42.0ms (0.4%)

Memory

3.5MiB live, 124.7MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	387	0	387
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	387	8	395

Accuracy

100.0%

Counts

395 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
✓	99.3%	(log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x x))))))
✓	99.3%	(log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))))
✓	99.3%	(log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))))))
✓	99.3%	(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)))
✓	99.2%	(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) x)))
✓	50.8%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
✓	99.1%	(log.f64 (+.f64 x x))

Compiler

Compiled 205 to 118 computations (42.4% saved)

regimes10.0ms (0.1%)

Memory

-14.6MiB live, 25.1MiB allocated

Counts

8 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.3%	1	`x`
99.3%	1	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))`
99.3%	1	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes3.0ms (0%)

Memory

7.8MiB live, 7.8MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

7.6MiB live, 7.6MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory

-33.3MiB live, 6.3MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

5.4MiB live, 5.4MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
99.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Memory

4.6MiB live, 4.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
99.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify10.0ms (0.1%)

Memory

24.1MiB live, 24.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	84
1	52	84
2	61	84
3	70	84
4	77	84
5	81	84
6	82	84

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness669.0ms (5.7%)

Memory

-28.0MiB live, 535.7MiB allocated

Rules

13 240×	`accelerator-lowering-fma.f32`
13 240×	`accelerator-lowering-fma.f64`
10 204×	`accelerator-lowering-fma.f32`
10 204×	`accelerator-lowering-fma.f64`
8 910×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	233	1884
1	608	1782
2	1602	1751
3	4172	1716
0	8150	1651
0	150	595
1	411	569
2	1147	562
3	3325	524
4	7968	524
0	8520	495
0	111	620
1	281	604
2	755	602
3	1920	574
4	5406	556
0	8101	529

Stop Event

1×	done
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 141 to 76 computations (46.1% saved)

preprocess68.0ms (0.6%)

Memory: -5.3MiB live, 150.8MiB allocated
Compiler: Compiled 190 to 86 computations (54.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze72.0ms (0.6%)

sample2.9s (25%)

preprocess876.0ms (7.5%)

explain119.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify708.0ms (6.1%)

localize26.0ms (0.2%)

series5.0ms (0%)

rewrite357.0ms (3.1%)

simplify447.0ms (3.8%)

eval90.0ms (0.8%)

prune84.0ms (0.7%)

simplify484.0ms (4.1%)

localize236.0ms (2%)

series271.0ms (2.3%)

rewrite657.0ms (5.6%)

simplify446.0ms (3.8%)

eval306.0ms (2.6%)

prune194.0ms (1.7%)

simplify263.0ms (2.2%)

localize50.0ms (0.4%)

series4.0ms (0%)

rewrite361.0ms (3.1%)

simplify401.0ms (3.4%)

eval138.0ms (1.2%)

prune154.0ms (1.3%)

simplify5.0ms (0%)

localize39.0ms (0.3%)

series26.0ms (0.2%)

rewrite621.0ms (5.3%)

simplify463.0ms (4%)

eval50.0ms (0.4%)

prune42.0ms (0.4%)

regimes10.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

simplify10.0ms (0.1%)

soundness669.0ms (5.7%)

preprocess68.0ms (0.6%)

end0.0ms (0%)

Profiling