Metrics for Hyperbolic arc-cosine

analyze104.0ms (1.2%)

Memory

-13.9MiB live, 160.2MiB 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)

sample2.0s (22.4%)

Memory

86.1MiB live, 3 788.7MiB allocated

Samples

933.0ms	7 801×	1	invalid
507.0ms	8 256×	0	valid
46.0ms	388×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.0s

ival-sqrt: 208.0ms (20.4% of total)

ival-log: 205.0ms (20.1% of total)

ival-mult: 198.0ms (19.4% of total)

ival-add: 154.0ms (15.1% of total)

ival-sub: 118.0ms (11.6% of total)

adjust: 103.0ms (10.1% of total)

exact: 14.0ms (1.4% of total)

ival-true: 12.0ms (1.2% of total)

ival-assert: 6.0ms (0.6% of total)

Bogosity

preprocess788.0ms (8.8%)

Memory

-30.9MiB live, 1 044.7MiB 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)))

explain108.0ms (1.2%)

Memory

15.7MiB live, 201.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
118	-	-	`(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	118	0
↳	`(-.f64 (*.f64 x x) #s(literal 1 binary64))`	overflow	118
↳	`(*.f64 x x)`	overflow	118
`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	118
↳	`(*.f64 x x)`	overflow	118

Confusion

	Predicted +	Predicted -
+	118	0
-	0	138

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	118	0	0
-	0	0	138

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	138
1	117
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

35.0ms

512×

valid

Compiler

Compiled 90 to 32 computations (64.4% saved)

Precisions

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

ival-mult: 6.0ms (28.8% of total)

ival-log: 5.0ms (24% of total)

ival-sqrt: 4.0ms (19.2% of total)

ival-sub: 2.0ms (9.6% of total)

ival-add: 2.0ms (9.6% of total)

ival-true: 0.0ms (0% 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

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.4%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))

Compiler

Compiled 10 to 7 computations (30% saved)

simplify668.0ms (7.5%)

Memory

-5.1MiB live, 815.7MiB 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)

localize24.0ms (0.3%)

Memory

11.2MiB live, 50.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.6%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
✓	accuracy	57.0%	(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))

Samples

15.0ms

256×

valid

Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-log: 3.0ms (33.1% of total)

ival-mult: 2.0ms (22.1% of total)

ival-sqrt: 2.0ms (22.1% of total)

ival-sub: 1.0ms (11% of total)

ival-add: 1.0ms (11% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

-27.0MiB live, 15.0MiB 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	@	inf	(sqrt (- (* x x) 1))
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))

rewrite378.0ms (4.2%)

Memory

43.2MiB live, 512.8MiB 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))

simplify355.0ms (4%)

Memory

11.0MiB live, 515.2MiB 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)

eval48.0ms (0.5%)

Memory: 12.4MiB live, 86.7MiB allocated
Compiler: Compiled 11 389 to 1 605 computations (85.9% saved)

prune50.0ms (0.6%)

Memory

-30.7MiB live, 93.9MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	385	3	388
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	386	3	389

Accuracy

100.0%

Counts

389 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
▶	99.6%	(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) x)))
▶	99.3%	(log.f64 (+.f64 x x))

Compiler

Compiled 20 to 15 computations (25% saved)

simplify4.0ms (0%)

Memory

7.7MiB live, 7.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Rules

18×	`+-lowering-+.f64`
18×	`+-lowering-+.f32`
8×	`log-lowering-log.f64`
8×	`log-lowering-log.f32`
8×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	43
1	16	43
2	20	43
3	21	43
0	21	41

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(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 2) (log x))
(log 2)
2
(log x)
x

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

localize60.0ms (0.7%)

Memory

-2.6MiB live, 80.6MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log.f64 x)
✓	accuracy	100.0%	(log.f64 #s(literal 2 binary64))
✓	accuracy	99.8%	(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 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))

Samples

33.0ms

256×

valid

Compiler

Compiled 45 to 14 computations (68.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-log: 10.0ms (42.1% of total)

ival-add: 10.0ms (42.1% of total)

ival-div: 2.0ms (8.4% of total)

ival-mult: 2.0ms (8.4% of total)

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

exact: 0.0ms (0% of total)

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

series305.0ms (3.4%)

Memory

11.0MiB live, 204.0MiB allocated

Counts

9 → 96

Calls

Call 1

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

Outputs
#<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 (/ -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 -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))))>

Calls

24 calls:

Time	Variable		Point	Expression
100.0ms	x	@	0	(+ (log 2) (log x))
90.0ms	x	@	-inf	(log (+ x x))
67.0ms	x	@	-inf	(+ (log 2) (log x))
28.0ms	x	@	0	(log (+ x x))
9.0ms	x	@	inf	(log (+ x x))

rewrite353.0ms (4%)

Memory

-198.1MiB live, 180.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

598×	`accelerator-lowering-fma.f32`
598×	`accelerator-lowering-fma.f64`
304×	`-lowering-.f32`
304×	`-lowering-.f64`
264×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	59	28
0	653	28

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound

Counts

9 → 311

Calls

Call 1

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

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

simplify384.0ms (4.3%)

Memory

16.7MiB live, 741.9MiB allocated

Algorithm

1×	egg-herbie

Rules

12 982×	`accelerator-lowering-fma.f32`
12 982×	`accelerator-lowering-fma.f64`
3 382×	`-lowering-.f32`
3 382×	`-lowering-.f64`
2 782×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	596
1	207	566
2	505	566
3	1217	548
4	2885	548
5	4860	532
0	8141	517

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

Inputs
(+ (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)
(/ -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 -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))))

Outputs
(+ (log 2) (log x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (log x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (log x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (log x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log -2) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (log -2) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (log -2) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (log -2) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x)))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(+ (log -1/2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(+ (log -1/2) (+ (* -4 (pow x 2)) (* -1 (log x))))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (-.f64 (.f64 #s(literal -4 binary64) (.f64 x x)) (log.f64 x)))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))
(+.f64 (-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x)) (.f64 (.f64 x x) (+.f64 #s(literal -4 binary64) (.f64 x (.f64 x #s(literal -8 binary64))))))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))
(+.f64 (-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x)) (.f64 (.f64 x x) (+.f64 #s(literal -4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -8 binary64) (.f64 (.f64 x x) #s(literal -64/3 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 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 x)))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/32 binary64) (.f64 x x))) (.f64 x x)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 x) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (-.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1/192 binary64) (.f64 x x))) (.f64 x x))))))
(+ (log -2) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x)))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) 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 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (-.f64 (log.f64 #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/32 binary64) (.f64 x x))) (.f64 x x))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (log.f64 #s(literal -2 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1/192 binary64) (.f64 x x))) (.f64 x x)) #s(literal 1/4 binary64)))))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(+.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -1/2 binary64) x))
(/ (- (* 2 (pow x 2)) 1/2) x)
(+.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -1/2 binary64) x))
(/ (- (* 2 (pow x 2)) 1/2) x)
(+.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -1/2 binary64) x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -1/2 binary64) x))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -1/2 binary64) x))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -1/2 binary64) x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(+.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -1/2 binary64) x))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(+.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -1/2 binary64) x))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(+.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -1/2 binary64) x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 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)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(+ (log 2) (log x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (log x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (log x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (log x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))

eval34.0ms (0.4%)

Memory: 6.0MiB live, 80.0MiB allocated
Compiler: Compiled 5 567 to 573 computations (89.7% saved)

prune72.0ms (0.8%)

Memory

-24.8MiB live, 56.4MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	406	1	407
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	406	4	410

Accuracy

100.0%

Counts

410 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
▶	98.7%	(.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))))))
✓	99.6%	(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) x)))
✓	99.3%	(log.f64 (+.f64 x x))

Compiler

Compiled 46 to 30 computations (34.8% saved)

simplify168.0ms (1.9%)

Memory

32.2MiB live, 106.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

1 184×	`accelerator-lowering-fma.f32`
1 184×	`accelerator-lowering-fma.f64`
640×	`-lowering-.f32`
640×	`-lowering-.f64`
468×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	95
1	31	93
2	51	93
3	108	93
4	191	93
5	301	93
6	512	93
7	737	93
8	1337	93
9	2052	93
10	2205	93
11	2248	93
12	2251	93
13	2251	93
0	2251	90

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize116.0ms (1.3%)

Memory

3.6MiB live, 87.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))
✓	accuracy	98.9%	(pow.f64 (log.f64 x) #s(literal 3 binary64))
✓	accuracy	98.4%	(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))
✓	accuracy	98.4%	(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))

Samples

59.0ms

256×

valid

Compiler

Compiled 97 to 17 computations (82.5% saved)

Precisions

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

ival-log: 6.0ms (28.3% of total)

ival-pow: 4.0ms (18.9% of total)

ival-mult: 3.0ms (14.2% of total)

ival-div: 2.0ms (9.4% of total)

ival-add: 2.0ms (9.4% of total)

ival-pow2: 2.0ms (9.4% of total)

ival-sub: 1.0ms (4.7% of total)

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

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

exact: 0.0ms (0% of total)

series34.0ms (0.4%)

Memory

-29.1MiB live, 10.4MiB allocated

Counts

7 → 48

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
29.0ms	x	@	inf	(* (+ (pow (log 2) 3) (pow (log x) 3)) (/ 1 (+ (pow (log 2) 2) (* (log x) (- (log x) (log 2))))))
2.0ms	x	@	0	(* (+ (pow (log 2) 3) (pow (log x) 3)) (/ 1 (+ (pow (log 2) 2) (* (log x) (- (log x) (log 2))))))
2.0ms	x	@	-inf	(* (+ (pow (log 2) 3) (pow (log x) 3)) (/ 1 (+ (pow (log 2) 2) (* (log x) (- (log x) (log 2))))))
0.0ms	x	@	0	(+ (pow (log 2) 3) (pow (log x) 3))
0.0ms	x	@	-inf	(* (log x) (- (log x) (log 2)))

rewrite758.0ms (8.5%)

Memory

35.5MiB live, 785.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 604×	`accelerator-lowering-fma.f32`
8 604×	`accelerator-lowering-fma.f64`
6 232×	`-lowering-.f32`
6 232×	`-lowering-.f64`
4 078×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	52
1	96	34
2	759	34
0	8471	34

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 731

Calls

Call 1

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

Outputs
(log.f64 (*.f64 x #s(literal 2 binary64)))
(log.f64 (*.f64 #s(literal 2 binary64) x))
(log.f64 (/.f64 x #s(literal 1/2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 x) (neg.f64 (log.f64 #s(literal 1/2 binary64))))
(+.f64 (log.f64 x) (*.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (-.f64 (.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 2 binary64) x))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 (.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 2 binary64) x))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 (.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 2 binary64) x))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (-.f64 (.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 2 binary64) x))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64)))))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64)))))))
(+.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64)))))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64)))))))
(+.f64 (.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))) (.f64 #s(literal 1 binary64) (log.f64 x)))
(+.f64 (.f64 #s(literal 1 binary64) (log.f64 x)) (.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64))))))) (.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64))))))))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64))))))) (.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64))))))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64)))))) (.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64))))) (log.f64 #s(literal 2 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64)))))) (.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64))))) (log.f64 x))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64)))))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (log.f64 (/.f64 x #s(literal 2 binary64)))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64)))))) (.f64 (log.f64 x) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64))))))))
(+.f64 (.f64 (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))) (.f64 (log.f64 x) (.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 x #s(literal 2 binary64)))))))))
(+.f64 (.f64 (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))) (.f64 (log.f64 x) (.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 x #s(literal 2 binary64)))))))) (.f64 (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64))))
(+.f64 (.f64 (/.f64 (log.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 2 binary64) x))))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 (/.f64 (log.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 2 binary64) x))))) (*.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 2 binary64) x)))))
(+.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (log.f64 x) #s(literal 1 binary64)))
(+.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (-.f64 (.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 2 binary64) x))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 (.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 2 binary64) x))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 (.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 2 binary64) x))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (-.f64 (.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 2 binary64) x))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64))))) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64))))))) (.f64 (.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64))))) (log.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64))))))))
(+.f64 (.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (log.f64 (/.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64))))))) (.f64 (.f64 (log.f64 x) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64))))))))
(+.f64 (.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))))) (.f64 (.f64 (log.f64 x) (.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 x #s(literal 2 binary64))))))) (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))))))
(+.f64 (.f64 (.f64 (log.f64 x) (.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 x #s(literal 2 binary64))))))) (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))))) (.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))))))
(+.f64 (.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (log.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 2 binary64) x)))))) (.f64 (.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 2 binary64) x))) (/.f64 (log.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 2 binary64) x)))))))
(+.f64 (-.f64 (log.f64 x) #s(literal 0 binary64)) (log.f64 #s(literal 2 binary64)))
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(.f64 (/.f64 (.f64 (.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) (log.f64 (.f64 x #s(literal 2 binary64)))) (log.f64 x)) (+.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (-.f64 (*.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 2 binary64) x))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) (log.f64 (.f64 x #s(literal 2 binary64)))) (log.f64 x)) (.f64 (log.f64 (.f64 x #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) x)))) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(.f64 (/.f64 (.f64 (.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) (log.f64 (.f64 x #s(literal 2 binary64)))) (log.f64 x)) (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 9 binary64)) (pow.f64 (log.f64 x) #s(literal 9 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64))))))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)) (-.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) #s(literal 3 binary64)))))
(.f64 (/.f64 (.f64 (.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) (log.f64 (.f64 x #s(literal 2 binary64)))) (log.f64 x)) (.f64 (log.f64 (.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))

simplify450.0ms (5%)

Memory

-4.2MiB live, 673.1MiB allocated

Algorithm

1×	egg-herbie

Rules

12 474×	`accelerator-lowering-fma.f32`
12 474×	`accelerator-lowering-fma.f64`
2 450×	`-lowering-.f32`
2 450×	`-lowering-.f64`
2 376×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	696
1	77	668
2	169	668
3	590	668
4	1893	668
5	4693	668
6	7161	668
0	8021	656

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

eval116.0ms (1.3%)

Memory: -13.2MiB live, 311.2MiB allocated
Compiler: Compiled 35 458 to 2 320 computations (93.5% saved)

prune131.0ms (1.5%)

Memory

-10.2MiB live, 266.5MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	792	1	793
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	793	4	797

Accuracy

100.0%

Counts

797 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
▶	98.5%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64)))))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))
✓	99.6%	(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) x)))
✓	99.3%	(log.f64 (+.f64 x x))

Compiler

Compiled 45 to 31 computations (31.1% saved)

simplify12.0ms (0.1%)

Memory

15.4MiB live, 15.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

140×	`-lowering-.f32`
140×	`-lowering-.f64`
62×	`accelerator-lowering-fma.f32`
62×	`accelerator-lowering-fma.f64`
52×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	93
1	36	91
2	71	91
3	126	91
4	154	91
5	161	91
6	162	91
7	191	91
8	212	91
9	213	91
10	215	91
11	215	91
0	215	88

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize57.0ms (0.6%)

Memory

1.4MiB live, 117.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(*.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64))))
✓	accuracy	98.9%	(pow.f64 (log.f64 x) #s(literal 3 binary64))
✓	accuracy	98.4%	(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))
✓	accuracy	98.4%	(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))

Samples

36.0ms

256×

valid

Compiler

Compiled 95 to 18 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-log: 10.0ms (37.9% of total)

ival-div: 4.0ms (15.1% of total)

ival-pow: 4.0ms (15.1% of total)

ival-mult: 3.0ms (11.4% of total)

ival-pow2: 3.0ms (11.4% of total)

ival-add: 2.0ms (7.6% of total)

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

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

exact: 0.0ms (0% of total)

series46.0ms (0.5%)

Memory

0.6MiB live, 90.3MiB allocated

Counts

7 → 60

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
20.0ms	x	@	0	(* (/ 1 (+ (pow (log 2) 2) (* (log x) (log (/ x 2))))) (+ (pow (log 2) 3) (pow (log x) 3)))
16.0ms	x	@	-inf	(* (/ 1 (+ (pow (log 2) 2) (* (log x) (log (/ x 2))))) (+ (pow (log 2) 3) (pow (log x) 3)))
7.0ms	x	@	inf	(* (/ 1 (+ (pow (log 2) 2) (* (log x) (log (/ x 2))))) (+ (pow (log 2) 3) (pow (log x) 3)))
1.0ms	x	@	-inf	(/ 1 (+ (pow (log 2) 2) (* (log x) (log (/ x 2)))))
1.0ms	x	@	0	(/ 1 (+ (pow (log 2) 2) (* (log x) (log (/ x 2)))))

rewrite442.0ms (4.9%)

Memory

2.7MiB live, 826.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 866×	`accelerator-lowering-fma.f32`
8 866×	`accelerator-lowering-fma.f64`
5 878×	`-lowering-.f32`
5 878×	`-lowering-.f64`
2 928×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	69
1	100	49
2	755	49
0	8080	47

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 562

Calls

Call 1

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

Outputs
(log.f64 (*.f64 #s(literal 2 binary64) x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(+.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64)))))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64)))))))
(+.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64)))))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64)))))))
(+.f64 (.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))) (.f64 #s(literal 1 binary64) (log.f64 x)))
(+.f64 (.f64 #s(literal 1 binary64) (log.f64 x)) (.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64)))))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64))))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64)))))) (.f64 (log.f64 x) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64))))))))
(+.f64 (.f64 (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))) (.f64 (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64)))) (-.f64 (*.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
(+.f64 (.f64 (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))) (.f64 (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64)))) (-.f64 (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (*.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64))))
(+.f64 (.f64 (/.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64)))))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 (/.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64)))))) (*.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 2 binary64) x)))))
(+.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (log.f64 x) #s(literal 1 binary64)))
(+.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64))))))) (.f64 (.f64 (log.f64 x) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64))))))))
(+.f64 (.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))))) (.f64 (.f64 (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64)))) (-.f64 (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (*.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))))))
(+.f64 (.f64 (.f64 (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64)))) (-.f64 (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))))) (.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (*.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))))))
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(.f64 (.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64))))
(.f64 (.f64 (log.f64 #s(literal 2 binary64)) (sqrt.f64 (log.f64 #s(literal 2 binary64)))) (*.f64 (log.f64 #s(literal 2 binary64)) (sqrt.f64 (log.f64 #s(literal 2 binary64)))))
(.f64 (.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3/2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(.f64 (.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (log.f64 #s(literal 2 binary64)))) (sqrt.f64 (log.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (log.f64 x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 x)) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 (log.f64 x)) #s(literal 3/2 binary64)) (.f64 (log.f64 (log.f64 x)) #s(literal 3/2 binary64))))
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (log.f64 x)))
(*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(*.f64 (log.f64 x) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(.f64 (log.f64 x) (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 x))
(.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (log.f64 x) #s(literal 3/2 binary64)) (pow.f64 (log.f64 x) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (log.f64 x) #s(literal 3/2 binary64)) (.f64 (pow.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (log.f64 x) #s(literal 3/4 binary64)) (.f64 (pow.f64 (log.f64 x) #s(literal 3/4 binary64)) (pow.f64 (log.f64 x) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 3/2 binary64)) (pow.f64 (log.f64 x) #s(literal 3/4 binary64))) (pow.f64 (log.f64 x) #s(literal 3/4 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 x))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (log.f64 x) #s(literal 3/2 binary64))) (pow.f64 (log.f64 x) #s(literal 3/2 binary64)))
(+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))))
(+.f64 (*.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (.f64 (log.f64 x) (log.f64 (.f64 #s(literal 2 binary64) x)))))) (/.f64 (pow.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (.f64 (log.f64 x) (log.f64 (*.f64 #s(literal 2 binary64) x)))))))
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 #s(literal 2 binary64) x)))) (/.f64 (pow.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (*.f64 #s(literal 2 binary64) x)))))
(fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))))
(fma.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log.f64 #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (log.f64 x) #s(literal 1 binary64)) (pow.f64 (log.f64 x) #s(literal 1 binary64)) (*.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))))
(neg.f64 (*.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (.f64 (log.f64 x) (log.f64 (.f64 #s(literal 2 binary64) x))))) (-.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (log.f64 x) (log.f64 (.f64 #s(literal 2 binary64) x))) (.f64 (.f64 (log.f64 x) (log.f64 (.f64 #s(literal 2 binary64) x))) (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (.f64 (log.f64 x) (log.f64 (*.f64 #s(literal 2 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 18 binary64)) (pow.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) #s(literal 9 binary64))) (.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (.f64 (log.f64 x) (log.f64 (.f64 #s(literal 2 binary64) x))))) (+.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 12 binary64)) (pow.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) #s(literal 6 binary64))) (.f64 (pow.f64 (log.f64 x) #s(literal 9 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 12 binary64)) (pow.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) #s(literal 6 binary64))) (.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (.f64 (log.f64 x) (log.f64 (.f64 #s(literal 2 binary64) x))))) (+.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) #s(literal 3 binary64)))))
(/.f64 (.f64 (.f64 (log.f64 x) (log.f64 (.f64 #s(literal 2 binary64) x))) (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64))))) (.f64 (log.f64 x) (log.f64 (.f64 #s(literal 2 binary64) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (.f64 (log.f64 x) (log.f64 (*.f64 #s(literal 2 binary64) x)))))))
(/.f64 (neg.f64 (.f64 (.f64 (log.f64 x) (log.f64 (.f64 #s(literal 2 binary64) x))) (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64)))))) (neg.f64 (.f64 (log.f64 x) (log.f64 (.f64 #s(literal 2 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))) (.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (.f64 (.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))) (.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64)))))
(/.f64 (.f64 (log.f64 x) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (.f64 (log.f64 x) (.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) (log.f64 (/.f64 x #s(literal 2 binary64))))) (log.f64 (.f64 #s(literal 2 binary64) x)))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (log.f64 x)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) (log.f64 (/.f64 x #s(literal 2 binary64)))) (log.f64 x)) (log.f64 (.f64 #s(literal 2 binary64) x)))
(*.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) (log.f64 x))
(.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (.f64 (log.f64 x) (log.f64 (*.f64 #s(literal 2 binary64) x)))))))
(.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (.f64 (log.f64 x) (log.f64 (.f64 #s(literal 2 binary64) x)))))))
(.f64 (.f64 (.f64 (log.f64 x) (log.f64 (.f64 #s(literal 2 binary64) x))) (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (log.f64 x) (log.f64 (*.f64 #s(literal 2 binary64) x)))))

simplify436.0ms (4.9%)

Memory

6.9MiB live, 531.1MiB allocated

Algorithm

1×	egg-herbie

Rules

12 676×	`accelerator-lowering-fma.f32`
12 676×	`accelerator-lowering-fma.f64`
2 934×	`-lowering-.f32`
2 934×	`-lowering-.f64`
2 312×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	948
1	97	908
2	240	908
3	644	908
4	1753	908
5	4010	908
6	6258	908
0	8085	872

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

eval108.0ms (1.2%)

Memory: 4.9MiB live, 157.5MiB allocated
Compiler: Compiled 26 232 to 1 743 computations (93.4% saved)

prune82.0ms (0.9%)

Memory

-5.7MiB live, 150.5MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	622	0	622
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	622	4	626

Accuracy

100.0%

Counts

626 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
✓	98.5%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64)))))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))
✓	99.6%	(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) x)))
✓	99.3%	(log.f64 (+.f64 x x))

Compiler

Compiled 121 to 65 computations (46.3% saved)

regimes8.0ms (0.1%)

Memory

15.6MiB live, 15.6MiB allocated

Counts

6 → 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)))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 2 binary64)))))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))
(.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))))))

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

Calls

3 calls:

2.0ms	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
2.0ms	x
2.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))

Results

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

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes1.0ms (0%)

Memory

3.6MiB live, 3.6MiB 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
99.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify13.0ms (0.1%)

Memory

-28.3MiB live, 14.0MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	11	12

Stop Event

1×

saturated

Calls

Call 1

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

soundness196.0ms (2.2%)

Memory

5.9MiB live, 122.3MiB allocated

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×	done
1×	iter limit
1×	node limit

Compiler

Compiled 27 to 19 computations (29.6% saved)

preprocess24.0ms (0.3%)

Memory: 36.7MiB live, 36.7MiB allocated
Compiler: Compiled 46 to 32 computations (30.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	16	93
1	36	91
2	71	91
3	126	91
4	154	91
5	161	91
6	162	91
7	191	91
8	212	91
9	213	91
10	215	91
11	215	91
0	215	88

Iter	Nodes	Cost
0	16	93
1	36	91
2	71	91
3	126	91
4	154	91
5	161	91
6	162	91
7	191	91
8	212	91
9	213	91
10	215	91
11	215	91
0	215	88

analyze104.0ms (1.2%)

sample2.0s (22.4%)

preprocess788.0ms (8.8%)

explain108.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify668.0ms (7.5%)

localize24.0ms (0.3%)

series6.0ms (0.1%)

rewrite378.0ms (4.2%)

simplify355.0ms (4%)

eval48.0ms (0.5%)

prune50.0ms (0.6%)

simplify4.0ms (0%)

localize60.0ms (0.7%)

series305.0ms (3.4%)

rewrite353.0ms (4%)

simplify384.0ms (4.3%)

eval34.0ms (0.4%)

prune72.0ms (0.8%)

simplify168.0ms (1.9%)

localize116.0ms (1.3%)

series34.0ms (0.4%)

rewrite758.0ms (8.5%)

simplify450.0ms (5%)

eval116.0ms (1.3%)

prune131.0ms (1.5%)

simplify12.0ms (0.1%)

localize57.0ms (0.6%)

series46.0ms (0.5%)

rewrite442.0ms (4.9%)

simplify436.0ms (4.9%)

eval108.0ms (1.2%)

prune82.0ms (0.9%)

regimes8.0ms (0.1%)

regimes1.0ms (0%)

simplify13.0ms (0.1%)

soundness196.0ms (2.2%)

preprocess24.0ms (0.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	16	93
1	36	91
2	71	91
3	126	91
4	154	91
5	161	91
6	162	91
7	191	91
8	212	91
9	213	91
10	215	91
11	215	91
0	215	88