Metrics for Logistic regression 2

analyze91.0ms (1.2%)

Memory

-11.1MiB live, 148.0MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
50%	50%	50%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
75%	74.9%	25%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
75%	74.9%	25%	0.1%	0%	0%	0%	9
75%	74.9%	25%	0.1%	0%	0%	0%	10
75%	74.9%	25%	0.1%	0%	0%	0%	11
75%	74.9%	25%	0.1%	0%	0%	0%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample1.1s (14.8%)

Memory

13.6MiB live, 2 438.6MiB allocated

Samples

545.0ms	8 256×	0	valid
251.0ms	2 697×	1	exit

Precisions

Click to see histograms. Total time spent on operations: 465.0ms

ival-log1p: 153.0ms (32.9% of total)

ival-exp: 128.0ms (27.5% of total)

ival-mult: 81.0ms (17.4% of total)

ival-sub: 56.0ms (12% of total)

adjust: 33.0ms (7.1% of total)

ival-true: 8.0ms (1.7% of total)

ival-assert: 5.0ms (1.1% of total)

Bogosity

preprocess32.0ms (0.4%)

Memory

23.0MiB live, 60.8MiB allocated

Algorithm

2×	egg-herbie

Rules

148×	`accelerator-lowering-fma.f32`
148×	`accelerator-lowering-fma.f64`
108×	`-lowering-.f32`
108×	`-lowering-.f64`
88×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	60
1	61	58
2	117	58
3	237	58
4	327	58
5	461	58
6	525	58
7	561	58
8	564	58
0	8	9
1	17	9
2	28	9
3	40	9
4	55	9
5	79	9
6	118	9
7	154	9
8	198	9
9	224	9
10	248	9
11	257	9
0	257	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(- (log (+ 1 (exp x))) (* x y))

Outputs
(- (log (+ 1 (exp x))) (* x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

Call 2

Inputs
(- (log (+ 1 (exp x))) (* x y))
(- (log (+ 1 (exp (neg x)))) (* (neg x) y))
(- (log (+ 1 (exp x))) (* x (neg y)))
(neg (- (log (+ 1 (exp (neg x)))) (* (neg x) y)))
(neg (- (log (+ 1 (exp x))) (* x (neg y))))
(- (log (+ 1 (exp y))) (* y x))

Outputs
(- (log (+ 1 (exp x))) (* x y))
(- (log (+ 1 (exp (neg x)))) (* (neg x) y))
(+ (* x y) (log (+ 1 (exp (neg x)))))
(- (log (+ 1 (exp x))) (* x (neg y)))
(+ (log (+ 1 (exp x))) (* x y))
(neg (- (log (+ 1 (exp (neg x)))) (* (neg x) y)))
(- (* x (neg y)) (log (+ 1 (exp (neg x)))))
(neg (- (log (+ 1 (exp x))) (* x (neg y))))
(- (* x (neg y)) (log (+ 1 (exp x))))
(- (log (+ 1 (exp y))) (* y x))
(- (log (+ 1 (exp y))) (* x y))

explain112.0ms (1.4%)

Memory

-4.8MiB live, 226.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
4	91	(-7.038042572115662e+137 -6.8105706295729635e+56)	-	`(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))`
0	0	-	-	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
0	0	-	-	`(+.f64 #s(literal 1 binary64) (exp.f64 x))`
0	0	-	-	`y`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(exp.f64 x)`
0	0	-	-	`(*.f64 x y)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))`	sensitivity	94	0
`log.f64`	`(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))`	oflow-rescue	1	0
↳	`(exp.f64 x)`	overflow	1
↳	`(+.f64 #s(literal 1 binary64) (exp.f64 x))`	overflow	1

Confusion

	Predicted +	Predicted -
+	2	0
-	93	161

Precision

0.021052631578947368

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	2	0	0
-	93	0	161

Precision?

0.021052631578947368

Recall?

1.0

Freqs

test

number	freq
0	161
1	95

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

37.0ms

512×

valid

Compiler

Compiled 78 to 36 computations (53.8% saved)

Precisions

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

ival-log1p: 5.0ms (26.9% of total)

ival-exp: 4.0ms (21.6% of total)

ival-mult: 4.0ms (21.6% of total)

ival-sub: 2.0ms (10.8% of total)

ival-add: 2.0ms (10.8% 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify23.0ms (0.3%)

Memory

-27.2MiB live, 25.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

148×	`accelerator-lowering-fma.f32`
148×	`accelerator-lowering-fma.f64`
108×	`-lowering-.f32`
108×	`-lowering-.f64`
52×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	17	26
2	28	26
3	40	26
4	55	26
5	79	26
6	118	26
7	154	26
8	198	26
9	224	26
10	248	26
11	257	26
0	257	22

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- (log (+ 1 (exp x))) (* x y))
(log (+ 1 (exp x)))
(+ 1 (exp x))
1
(exp x)
x
(* x y)
y

Outputs
(- (log (+ 1 (exp x))) (* x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(+ 1 (exp x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
1
#s(literal 1 binary64)
(exp x)
(exp.f64 x)
x
(* x y)
(*.f64 x y)
y

localize26.0ms (0.3%)

Memory

16.2MiB live, 55.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 x))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	98.7%	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))

Samples

17.0ms

256×

valid

Compiler

Compiled 28 to 10 computations (64.3% saved)

Precisions

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

ival-exp: 2.0ms (22.3% of total)

ival-log1p: 2.0ms (22.3% of total)

ival-mult: 2.0ms (22.3% of total)

ival-sub: 1.0ms (11.2% of total)

ival-add: 1.0ms (11.2% of total)

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

exact: 0.0ms (0% of total)

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

series60.0ms (0.8%)

Memory

0.4MiB live, 118.2MiB allocated

Counts

5 → 84

Calls

Call 1

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

Outputs
#<alt (log 2)>
#<alt (+ (log 2) (* 1/2 x))>
#<alt (+ (log 2) (* x (+ 1/2 (* 1/8 x))))>
#<alt (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))>
#<alt (log (+ 1 (exp x)))>
#<alt (log (+ 1 (exp x)))>
#<alt (log (+ 1 (exp x)))>
#<alt (log (+ 1 (exp x)))>
#<alt (log (+ 1 (exp x)))>
#<alt (log (+ 1 (exp x)))>
#<alt (log (+ 1 (exp x)))>
#<alt (log (+ 1 (exp x)))>
#<alt (log 2)>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))>
#<alt (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))>
#<alt (* -1 (* x y))>
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))>
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))>
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))>
#<alt (log (+ 1 (exp x)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))>
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))>
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))>
#<alt 2>
#<alt (+ 2 x)>
#<alt (+ 2 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (+ 1 (exp x))>
#<alt (+ 1 (exp x))>
#<alt (+ 1 (exp x))>
#<alt (+ 1 (exp x))>
#<alt (+ 1 (exp x))>
#<alt (+ 1 (exp x))>
#<alt (+ 1 (exp x))>
#<alt (+ 1 (exp x))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>

Calls

21 calls:

Time	Variable		Point	Expression
30.0ms	x	@	inf	(log (+ 1 (exp x)))
24.0ms	x	@	-inf	(log (+ 1 (exp x)))
3.0ms	y	@	0	(- (log (+ 1 (exp x))) (* x y))
0.0ms	x	@	0	(log (+ 1 (exp x)))
0.0ms	x	@	inf	(- (log (+ 1 (exp x))) (* x y))

rewrite377.0ms (4.9%)

Memory

-33.1MiB live, 577.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 436×	`/-lowering-/.f32`
4 436×	`/-lowering-/.f64`
3 924×	`-lowering-.f32`
3 924×	`-lowering-.f64`
3 690×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	42	23
2	306	23
3	2720	23
0	9056	19

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 368

Calls

Call 1

Inputs
(log (+ 1 (exp x)))
(- (log (+ 1 (exp x))) (* x y))
(+ 1 (exp x))
(exp x)
(* x y)

Outputs
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(+.f64 (log1p.f64 (exp.f64 x)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 x)))
(+.f64 (log1p.f64 (exp.f64 (.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (log1p.f64 (.f64 (exp.f64 x) (expm1.f64 x)))))
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(+.f64 (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (.f64 x #s(literal 3 binary64)))))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) (expm1.f64 x)))))))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))))))
(+.f64 (log.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(+.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (.f64 (exp.f64 x) (expm1.f64 x)))) (log1p.f64 (exp.f64 (.f64 x #s(literal 3 binary64)))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64)))))) (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 3 binary64))))) (log1p.f64 (.f64 (.f64 (exp.f64 x) (expm1.f64 x)) (-.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 1 binary64)))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 2 binary64))))) (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (expm1.f64 x)))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))))) (log1p.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 x))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))
(-.f64 (log1p.f64 (exp.f64 (.f64 x #s(literal 3 binary64)))) (log1p.f64 (.f64 (exp.f64 x) (expm1.f64 x))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (.f64 x #s(literal 3 binary64)))))) (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) (expm1.f64 x))))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(-.f64 (log.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (log.f64 (expm1.f64 x)))
(-.f64 (log1p.f64 (exp.f64 (.f64 x #s(literal 9 binary64)))) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) (expm1.f64 x))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64))))))))
(-.f64 (log1p.f64 (neg.f64 (exp.f64 (.f64 x #s(literal 6 binary64))))) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) (expm1.f64 x))) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))))))
(-.f64 (log1p.f64 (neg.f64 (exp.f64 (.f64 x #s(literal 6 binary64))))) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (exp.f64 (.f64 x #s(literal 4 binary64))))))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 4 binary64))))) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))))))
(-.f64 (log.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64))))
(-.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (exp.f64 (.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) (expm1.f64 x))))))
(-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64))) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (expm1.f64 x))))))
(-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64))) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (exp.f64 (*.f64 x #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64))) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (.f64 x #s(literal 3 binary64))))))) (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) (expm1.f64 x)))))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))) (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -3 binary64)) (/.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 x))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (pow.f64 (/.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 x))))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) (expm1.f64 x)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) (expm1.f64 x)))))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (exp.f64 (.f64 x #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (expm1.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (expm1.f64 x)))))
(.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (expm1.f64 x))))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) (expm1.f64 x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) (expm1.f64 x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64)))
(.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (exp.f64 x) (expm1.f64 x)) (-.f64 (.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 1 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) (expm1.f64 x))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64))))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64)))) (exp.f64 x)))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) (expm1.f64 x))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 9 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) (expm1.f64 x))) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 6 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64))))))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 6 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (exp.f64 (.f64 x #s(literal 4 binary64)))))))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 4 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))
(exp.f64 x)
(exp.f64 (*.f64 x #s(literal 1 binary64)))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (.f64 (log.f64 (.f64 x y)) #s(literal 1 binary64)))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 x y)
(*.f64 y x)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 y)))

simplify307.0ms (4%)

Memory

26.0MiB live, 458.2MiB allocated

Algorithm

1×	egg-herbie

Rules

11 474×	`accelerator-lowering-fma.f32`
11 474×	`accelerator-lowering-fma.f64`
2 426×	`-lowering-.f32`
2 426×	`-lowering-.f64`
1 772×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	472
1	180	472
2	389	472
3	1353	472
4	4014	442
5	6856	442
0	8132	372

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

Inputs
(log 2)
(+ (log 2) (* 1/2 x))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(* -1 (* x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* -1 (* x y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(log (+ 1 (exp x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* -1 (* x y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* -1 (* x y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
2
(+ 2 x)
(+ 2 (* x (+ 1 (* 1/2 x))))
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)

Outputs
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 x))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64)))))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 x x)))))))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (- 1/2 y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 x x)))) y))))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
2
#s(literal 2 binary64)
(+ 2 x)
(+.f64 #s(literal 2 binary64) x)
(+ 2 (* x (+ 1 (* 1/2 x))))
(+.f64 #s(literal 2 binary64) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))
(+ 1 (exp x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+ 1 (exp x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+ 1 (exp x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+ 1 (exp x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+ 1 (exp x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+ 1 (exp x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+ 1 (exp x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+ 1 (exp x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)

eval85.0ms (1.1%)

Memory: -5.9MiB live, 80.2MiB allocated
Compiler: Compiled 16 173 to 1 493 computations (90.8% saved)

prune70.0ms (0.9%)

Memory

10.2MiB live, 126.0MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	444	8	452
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	445	8	453

Accuracy

99.9%

Counts

453 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	88.2%	(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
▶	73.5%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))) y)))
	81.0%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
	72.7%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 x x)))) y))))
▶	54.7%	(*.f64 x (-.f64 #s(literal 0 binary64) y))
▶	47.1%	(log1p.f64 (exp.f64 x))
	46.7%	(log.f64 #s(literal 2 binary64))

Compiler

Compiled 154 to 118 computations (23.4% saved)

simplify107.0ms (1.4%)

Memory

-26.4MiB live, 55.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Program
✓	cost-diff	(exp.f64 x)
✓	cost-diff	(log1p.f64 (exp.f64 x))
✓	cost-diff	(-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))) y)
✓	cost-diff	(.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))) y))
✓	cost-diff	(log.f64 #s(literal 2 binary64))
✓	cost-diff	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))) y)))
✓	cost-diff	(*.f64 x y)
✓	cost-diff	(log.f64 #s(literal 2 binary64))
✓	cost-diff	(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
✓	cost-diff	(-.f64 #s(literal 0 binary64) y)
✓	cost-diff	(*.f64 x (-.f64 #s(literal 0 binary64) y))
✓	cost-diff	(*.f64 x y)
✓	cost-diff	(exp.f64 x)
✓	cost-diff	(log1p.f64 (exp.f64 x))
✓	cost-diff	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

Rules

2 204×	`accelerator-lowering-fma.f32`
2 204×	`accelerator-lowering-fma.f64`
564×	`-lowering-.f32`
564×	`-lowering-.f64`
524×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	95
1	42	95
2	79	95
3	165	95
4	298	95
5	468	95
6	779	95
7	1408	95
8	1946	95
9	2230	95
10	2276	95
11	2276	95
12	2276	95
0	2276	84

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- (log (+ 1 (exp x))) (* x y))
(log (+ 1 (exp x)))
(exp x)
x
(* x y)
y
(* x (- 0 y))
x
(- 0 y)
0
y
(- (log 2) (* x y))
(log 2)
2
(* x y)
x
y
(+ (log 2) (* x (- (+ 1/2 (* x 1/8)) y)))
(log 2)
2
(* x (- (+ 1/2 (* x 1/8)) y))
x
(- (+ 1/2 (* x 1/8)) y)
(+ 1/2 (* x 1/8))
1/2
(* x 1/8)
1/8
y
(log (+ 1 (exp x)))
(exp x)
x

Outputs
(- (log (+ 1 (exp x))) (* x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(exp x)
(exp.f64 x)
x
(* x y)
(*.f64 x y)
y
(* x (- 0 y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
x
(- 0 y)
(-.f64 #s(literal 0 binary64) y)
0
#s(literal 0 binary64)
y
(- (log 2) (* x y))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(log 2)
(log.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* x y)
(*.f64 x y)
x
y
(+ (log 2) (* x (- (+ 1/2 (* x 1/8)) y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))) y)))
(log 2)
(log.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* x (- (+ 1/2 (* x 1/8)) y))
(.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))) y))
x
(- (+ 1/2 (* x 1/8)) y)
(-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))) y)
(+ 1/2 (* x 1/8))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64)))
1/2
#s(literal 1/2 binary64)
(* x 1/8)
(*.f64 x #s(literal 1/8 binary64))
1/8
#s(literal 1/8 binary64)
y
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(exp x)
(exp.f64 x)
x

localize62.0ms (0.8%)

Memory

7.3MiB live, 45.7MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	99.6%	(log1p.f64 (exp.f64 x))
✓	accuracy	100.0%	(log.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))) y)
✓	accuracy	100.0%	(.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))) y))
✓	accuracy	100.0%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))) y)))
✓	accuracy	100.0%	(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(log.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) y)
✓	accuracy	100.0%	(*.f64 x (-.f64 #s(literal 0 binary64) y))
✓	accuracy	100.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	99.6%	(log1p.f64 (exp.f64 x))

Samples

34.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 93 to 21 computations (77.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 6.0ms (29.5% of total)

ival-sub: 4.0ms (19.7% of total)

ival-log: 3.0ms (14.8% of total)

ival-log1p: 3.0ms (14.8% of total)

ival-add: 2.0ms (9.8% of total)

ival-exp: 2.0ms (9.8% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

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

series11.0ms (0.1%)

Memory

15.8MiB live, 15.8MiB allocated

Counts

11 → 204

Calls

Call 1

Inputs
#<alt (- (log (+ 1 (exp x))) (* x y))>
#<alt (log (+ 1 (exp x)))>
#<alt (exp x)>
#<alt (* x y)>
#<alt (* x (- 0 y))>
#<alt (- 0 y)>
#<alt (- (log 2) (* x y))>
#<alt (log 2)>
#<alt (+ (log 2) (* x (- (+ 1/2 (* x 1/8)) y)))>
#<alt (* x (- (+ 1/2 (* x 1/8)) y))>
#<alt (- (+ 1/2 (* x 1/8)) y)>

Outputs
#<alt (log 2)>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))>
#<alt (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))>
#<alt (* -1 (* x y))>
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))>
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))>
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))>
#<alt (log (+ 1 (exp x)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))>
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))>
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))>
#<alt (log 2)>
#<alt (+ (log 2) (* 1/2 x))>
#<alt (+ (log 2) (* x (+ 1/2 (* 1/8 x))))>
#<alt (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))>
#<alt (log (+ 1 (exp x)))>
#<alt (log (+ 1 (exp x)))>
#<alt (log (+ 1 (exp x)))>
#<alt (log (+ 1 (exp x)))>
#<alt (log (+ 1 (exp x)))>
#<alt (log (+ 1 (exp x)))>
#<alt (log (+ 1 (exp x)))>
#<alt (log (+ 1 (exp x)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (log 2)>
#<alt (+ (log 2) (* -1 (* x y)))>
#<alt (+ (log 2) (* -1 (* x y)))>
#<alt (+ (log 2) (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* x (- (/ (log 2) x) y))>
#<alt (* x (- (/ (log 2) x) y))>
#<alt (* x (- (/ (log 2) x) y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (- (* -1 (/ (log 2) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (log 2) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (log 2) x)) (* -1 y))))>
#<alt (log 2)>
#<alt (+ (log 2) (* -1 (* x y)))>
#<alt (+ (log 2) (* -1 (* x y)))>
#<alt (+ (log 2) (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* y (- (/ (log 2) y) x))>
#<alt (* y (- (/ (log 2) y) x))>
#<alt (* y (- (/ (log 2) y) x))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (- (* -1 (/ (log 2) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (log 2) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (log 2) y)) (* -1 x))))>
#<alt (log 2)>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))>
#<alt (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))>
#<alt (* 1/8 (pow x 2))>
#<alt (* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))>
#<alt (* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))>
#<alt (* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))>
#<alt (* 1/8 (pow x 2))>
#<alt (* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))>
#<alt (* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))>
#<alt (* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))>
#<alt (+ (log 2) (* x (+ 1/2 (* 1/8 x))))>
#<alt (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))>
#<alt (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))>
#<alt (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))>
#<alt (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))>
#<alt (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- (+ 1/2 (* 1/8 x)) y))>
#<alt (* x (- (+ 1/2 (* 1/8 x)) y))>
#<alt (* x (- (+ 1/2 (* 1/8 x)) y))>
#<alt (* 1/8 (pow x 2))>
#<alt (* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))>
#<alt (* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))>
#<alt (* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))>
#<alt (* 1/8 (pow x 2))>
#<alt (* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))>
#<alt (* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))>
#<alt (* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))>
#<alt (* x (+ 1/2 (* 1/8 x)))>
#<alt (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))>
#<alt (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))>
#<alt (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (/ (* x (+ 1/2 (* 1/8 x))) y)))>
#<alt (* y (+ (* -1 x) (/ (* x (+ 1/2 (* 1/8 x))) y)))>
#<alt (* y (+ (* -1 x) (/ (* x (+ 1/2 (* 1/8 x))) y)))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (* 1/8 x))) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (* 1/8 x))) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (* 1/8 x))) y)))))>
#<alt (- 1/2 y)>
#<alt (- (+ 1/2 (* 1/8 x)) y)>
#<alt (- (+ 1/2 (* 1/8 x)) y)>
#<alt (- (+ 1/2 (* 1/8 x)) y)>
#<alt (* 1/8 x)>
#<alt (* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))>
#<alt (* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))>
#<alt (* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))>
#<alt (* 1/8 x)>
#<alt (* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))>
#<alt (* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))>
#<alt (* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))>
#<alt (+ 1/2 (* 1/8 x))>
#<alt (+ 1/2 (+ (* -1 y) (* 1/8 x)))>
#<alt (+ 1/2 (+ (* -1 y) (* 1/8 x)))>
#<alt (+ 1/2 (+ (* -1 y) (* 1/8 x)))>
#<alt (* -1 y)>
#<alt (* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))>
#<alt (* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))>
#<alt (* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))>

Calls

51 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(- (log 2) (* x y))
1.0ms	y	@	0	(- (log 2) (* x y))
0.0ms	x	@	-inf	(+ (log 2) (* x (- (+ 1/2 (* x 1/8)) y)))
0.0ms	y	@	inf	(- 0 y)
0.0ms	x	@	inf	(+ (log 2) (* x (- (+ 1/2 (* x 1/8)) y)))

rewrite504.0ms (6.5%)

Memory

-8.5MiB live, 419.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 678×	`accelerator-lowering-fma.f32`
4 678×	`accelerator-lowering-fma.f64`
3 764×	`/-lowering-/.f32`
3 764×	`/-lowering-/.f64`
3 464×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	61
1	122	61
2	1071	61
0	8716	53

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 429

Calls

Call 1

Inputs
(- (log (+ 1 (exp x))) (* x y))
(log (+ 1 (exp x)))
(exp x)
(* x y)
(* x (- 0 y))
(- 0 y)
(- (log 2) (* x y))
(log 2)
(+ (log 2) (* x (- (+ 1/2 (* x 1/8)) y)))
(* x (- (+ 1/2 (* x 1/8)) y))
(- (+ 1/2 (* x 1/8)) y)

Outputs
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (-.f64 #s(literal 0 binary64) y)))
(+.f64 (*.f64 x (-.f64 #s(literal 0 binary64) y)) (log1p.f64 (exp.f64 x)))
(+.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))) (neg.f64 (/.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 x y)))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))))
(+.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (neg.f64 (/.f64 (.f64 y (.f64 x (.f64 x y))) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))) (/.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 x y)))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (/.f64 (.f64 y (.f64 x (.f64 x y))) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(fma.f64 x (-.f64 #s(literal 0 binary64) y) (log1p.f64 (exp.f64 x)))
(fma.f64 y (-.f64 #s(literal 0 binary64) x) (log1p.f64 (exp.f64 x)))
(fma.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))) (neg.f64 (/.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 x y)))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))))
(fma.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (neg.f64 (/.f64 (.f64 y (.f64 x (.f64 x y))) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(fma.f64 (-.f64 #s(literal 0 binary64) y) x (log1p.f64 (exp.f64 x)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) y (log1p.f64 (exp.f64 x)))
(fma.f64 #s(literal -1 binary64) (*.f64 x y) (log1p.f64 (exp.f64 x)))
(fma.f64 (.f64 x (.f64 y (-.f64 #s(literal 0 binary64) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (.f64 y y)) (log1p.f64 (exp.f64 x)))
(fma.f64 (.f64 x (-.f64 #s(literal 0 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) y) (log1p.f64 (exp.f64 x)))
(fma.f64 (.f64 (.f64 y (-.f64 #s(literal 0 binary64) (.f64 y y))) x) (/.f64 #s(literal 1 binary64) (.f64 y y)) (log1p.f64 (exp.f64 x)))
(fma.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) x) (/.f64 #s(literal 1 binary64) y) (log1p.f64 (exp.f64 x)))
(fma.f64 (/.f64 x y) (/.f64 (.f64 y (-.f64 #s(literal 0 binary64) (.f64 y y))) y) (log1p.f64 (exp.f64 x)))
(fma.f64 (/.f64 (.f64 y (-.f64 #s(literal 0 binary64) (.f64 y y))) y) (/.f64 x y) (log1p.f64 (exp.f64 x)))
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(/.f64 (-.f64 (.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64)))) (+.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64)))) (+.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64)))))) (.f64 (/.f64 (.f64 y y) (+.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))))) (/.f64 (.f64 y y) (+.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))))))) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64)))) (+.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))))) (/.f64 (.f64 y y) (+.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x #s(literal 1/8 binary64)) y))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y)))
(.f64 (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))))) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64)))) (.f64 y (+.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))))))))
(.f64 (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))))) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64)))) (-.f64 (.f64 y y) (neg.f64 (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64)))))))))
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(.f64 (+.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/512 binary64))) (.f64 y y)) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x #s(literal 1/8 binary64)) (+.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal -1/2 binary64)))) (.f64 y (-.f64 #s(literal 0 binary64) (.f64 y y))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x #s(literal 1/8 binary64)) (+.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal -1/2 binary64)))) (*.f64 y y))))
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(.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (-.f64 (.f64 x #s(literal 1/8 binary64)) y) (.f64 (-.f64 (.f64 x #s(literal 1/8 binary64)) y) (-.f64 (.f64 x #s(literal 1/8 binary64)) y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (-.f64 (.f64 x #s(literal 1/8 binary64)) y) (-.f64 (.f64 x #s(literal 1/8 binary64)) y)) (.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x #s(literal 1/8 binary64)) y))))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (-.f64 (.f64 x #s(literal 1/8 binary64)) y) (-.f64 (.f64 x #s(literal 1/8 binary64)) y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x #s(literal 1/8 binary64)) y))))

simplify364.0ms (4.7%)

Memory

50.6MiB live, 710.7MiB allocated

Algorithm

1×	egg-herbie

Rules

12 378×	`accelerator-lowering-fma.f32`
12 378×	`accelerator-lowering-fma.f64`
3 460×	`-lowering-.f32`
3 460×	`-lowering-.f64`
2 510×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	134	1351
1	397	1334
2	1062	1334
3	4108	1286
0	8153	1156

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(* -1 (* x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* -1 (* x y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(log (+ 1 (exp x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* -1 (* x y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* -1 (* x y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(log 2)
(+ (log 2) (* 1/2 x))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(log 2)
(+ (log 2) (* -1 (* x y)))
(+ (log 2) (* -1 (* x y)))
(+ (log 2) (* -1 (* x y)))
(* -1 (* x y))
(* x (- (/ (log 2) x) y))
(* x (- (/ (log 2) x) y))
(* x (- (/ (log 2) x) y))
(* -1 (* x y))
(* -1 (* x (- (* -1 (/ (log 2) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log 2) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log 2) x)) (* -1 y))))
(log 2)
(+ (log 2) (* -1 (* x y)))
(+ (log 2) (* -1 (* x y)))
(+ (log 2) (* -1 (* x y)))
(* -1 (* x y))
(* y (- (/ (log 2) y) x))
(* y (- (/ (log 2) y) x))
(* y (- (/ (log 2) y) x))
(* -1 (* x y))
(* -1 (* y (- (* -1 (/ (log 2) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log 2) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log 2) y)) (* -1 x))))
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(* 1/8 (pow x 2))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))
(* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))
(* 1/8 (pow x 2))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))
(* -1 (* x y))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))
(* x (- 1/2 y))
(* x (- (+ 1/2 (* 1/8 x)) y))
(* x (- (+ 1/2 (* 1/8 x)) y))
(* x (- (+ 1/2 (* 1/8 x)) y))
(* 1/8 (pow x 2))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* 1/8 (pow x 2))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* x (+ 1/2 (* 1/8 x)))
(+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))
(+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))
(+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))
(* -1 (* x y))
(* y (+ (* -1 x) (/ (* x (+ 1/2 (* 1/8 x))) y)))
(* y (+ (* -1 x) (/ (* x (+ 1/2 (* 1/8 x))) y)))
(* y (+ (* -1 x) (/ (* x (+ 1/2 (* 1/8 x))) y)))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (* 1/8 x))) y)))))
(* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (* 1/8 x))) y)))))
(* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (* 1/8 x))) y)))))
(- 1/2 y)
(- (+ 1/2 (* 1/8 x)) y)
(- (+ 1/2 (* 1/8 x)) y)
(- (+ 1/2 (* 1/8 x)) y)
(* 1/8 x)
(* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* 1/8 x)
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))
(+ 1/2 (* 1/8 x))
(+ 1/2 (+ (* -1 y) (* 1/8 x)))
(+ 1/2 (+ (* -1 y) (* 1/8 x)))
(+ 1/2 (+ (* -1 y) (* 1/8 x)))
(* -1 y)
(* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))
(* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))
(* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))

Outputs
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (- 1/2 y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y))))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 x x)))))))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 x))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64)))))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 x x)))))))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(-.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* -1 (* x y)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(+ (log 2) (* -1 (* x y)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(+ (log 2) (* -1 (* x y)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* x (- (/ (log 2) x) y))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(* x (- (/ (log 2) x) y))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(* x (- (/ (log 2) x) y))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x (- (* -1 (/ (log 2) x)) (* -1 y))))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(* -1 (* x (- (* -1 (/ (log 2) x)) (* -1 y))))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(* -1 (* x (- (* -1 (/ (log 2) x)) (* -1 y))))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* -1 (* x y)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(+ (log 2) (* -1 (* x y)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(+ (log 2) (* -1 (* x y)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* y (- (/ (log 2) y) x))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(* y (- (/ (log 2) y) x))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(* y (- (/ (log 2) y) x))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* y (- (* -1 (/ (log 2) y)) (* -1 x))))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(* -1 (* y (- (* -1 (/ (log 2) y)) (* -1 x))))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(* -1 (* y (- (* -1 (/ (log 2) y)) (* -1 x))))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (- 1/2 y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y))))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y))))
(* 1/8 (pow x 2))
(.f64 x (.f64 x #s(literal 1/8 binary64)))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y)))
(* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)) x)))
(* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)) x)))
(* 1/8 (pow x 2))
(.f64 x (.f64 x #s(literal 1/8 binary64)))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y)))
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)) x)))
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)) x)))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64)))))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y))))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y))))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y))))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y))))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y))))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y))))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y))))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- (+ 1/2 (* 1/8 x)) y))
(.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y)))
(* x (- (+ 1/2 (* 1/8 x)) y))
(.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y)))
(* x (- (+ 1/2 (* 1/8 x)) y))
(.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y)))
(* 1/8 (pow x 2))
(.f64 x (.f64 x #s(literal 1/8 binary64)))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y)))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y)))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y)))
(* 1/8 (pow x 2))
(.f64 x (.f64 x #s(literal 1/8 binary64)))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y)))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y)))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y)))
(* x (+ 1/2 (* 1/8 x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))))
(+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y)))
(+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y)))
(+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y)))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* y (+ (* -1 x) (/ (* x (+ 1/2 (* 1/8 x))) y)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y)))
(* y (+ (* -1 x) (/ (* x (+ 1/2 (* 1/8 x))) y)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y)))
(* y (+ (* -1 x) (/ (* x (+ 1/2 (* 1/8 x))) y)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y)))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (* 1/8 x))) y)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y)))
(* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (* 1/8 x))) y)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y)))
(* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (* 1/8 x))) y)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y)))
(- 1/2 y)
(-.f64 #s(literal 1/2 binary64) y)
(- (+ 1/2 (* 1/8 x)) y)
(+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x #s(literal 1/8 binary64)) y))
(- (+ 1/2 (* 1/8 x)) y)
(+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x #s(literal 1/8 binary64)) y))
(- (+ 1/2 (* 1/8 x)) y)
(+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x #s(literal 1/8 binary64)) y))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x #s(literal 1/8 binary64)) y))
(* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x #s(literal 1/8 binary64)) y))
(* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x #s(literal 1/8 binary64)) y))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))
(+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x #s(literal 1/8 binary64)) y))
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))
(+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x #s(literal 1/8 binary64)) y))
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))
(+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x #s(literal 1/8 binary64)) y))
(+ 1/2 (* 1/8 x))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64)))
(+ 1/2 (+ (* -1 y) (* 1/8 x)))
(+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x #s(literal 1/8 binary64)) y))
(+ 1/2 (+ (* -1 y) (* 1/8 x)))
(+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x #s(literal 1/8 binary64)) y))
(+ 1/2 (+ (* -1 y) (* 1/8 x)))
(+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x #s(literal 1/8 binary64)) y))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))
(.f64 y (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (.f64 x #s(literal 1/8 binary64)) y) (/.f64 #s(literal 1/2 binary64) y))))
(* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))
(.f64 y (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (.f64 x #s(literal 1/8 binary64)) y) (/.f64 #s(literal 1/2 binary64) y))))
(* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))
(.f64 y (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (.f64 x #s(literal 1/8 binary64)) y) (/.f64 #s(literal 1/2 binary64) y))))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))
(+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x #s(literal 1/8 binary64)) y))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))
(+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x #s(literal 1/8 binary64)) y))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))
(+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x #s(literal 1/8 binary64)) y))

eval89.0ms (1.2%)

Memory: -10.7MiB live, 217.5MiB allocated
Compiler: Compiled 17 705 to 1 699 computations (90.4% saved)

prune88.0ms (1.1%)

Memory

23.2MiB live, 249.7MiB allocated

Pruning

20 alts after pruning (17 fresh and 3 done)

	Pruned	Kept	Total
New	689	16	705
Fresh	2	1	3
Picked	2	3	5
Done	0	0	0
Total	693	20	713

Accuracy

99.9%

Counts

713 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.5%	(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) x) y)
▶	12.9%	(/.f64 (.f64 (.f64 y (-.f64 #s(literal 0 binary64) (.f64 y y))) x) (.f64 y y))
	18.4%	(/.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x (-.f64 #s(literal 0 binary64) y)))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 #s(literal 0 binary64) (.f64 x y)))))
	30.4%	(/.f64 (.f64 (.f64 x y) (.f64 x (-.f64 #s(literal 0 binary64) y))) (+.f64 #s(literal 0 binary64) (.f64 x y)))
	54.5%	(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))
	12.9%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (.f64 (.f64 y (-.f64 #s(literal 0 binary64) (.f64 y y))) x)))
✓	99.6%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	88.2%	(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
▶	81.0%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
	52.8%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 x x)))))))
	48.5%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64)))))
	28.5%	(.f64 (.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) x) (/.f64 #s(literal 1 binary64) y))
▶	29.3%	(.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) y))
	29.0%	(.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y)))
	29.3%	(.f64 x (.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)))
	5.0%	(.f64 x (.f64 x #s(literal 1/8 binary64)))
▶	54.7%	(*.f64 x (neg.f64 y))
	45.7%	(log1p.f64 (+.f64 x #s(literal 1 binary64)))
✓	47.1%	(log1p.f64 (exp.f64 x))
▶	46.7%	(log1p.f64 #s(literal 1 binary64))

Compiler

Compiled 444 to 292 computations (34.2% saved)

simplify459.0ms (5.9%)

Memory

-151.0MiB live, 447.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log1p.f64 #s(literal 1 binary64))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (*.f64 y y))
✓	cost-diff	0	(.f64 y (-.f64 #s(literal 0 binary64) (.f64 y y)))
✓	cost-diff	0	(.f64 (.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y y))) x)
✓	cost-diff	512	(/.f64 (.f64 (.f64 y (-.f64 #s(literal 0 binary64) (.f64 y y))) x) (.f64 y y))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (*.f64 y y))
✓	cost-diff	0	(.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) y))
✓	cost-diff	256	(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) y)
✓	cost-diff	-64	(neg.f64 y)
✓	cost-diff	0	(*.f64 x (neg.f64 y))
✓	cost-diff	0	(-.f64 #s(literal 1/2 binary64) y)
✓	cost-diff	0	(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
✓	cost-diff	0	(log.f64 #s(literal 2 binary64))
✓	cost-diff	0	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))

Rules

6 068×	`accelerator-lowering-fma.f32`
6 068×	`accelerator-lowering-fma.f64`
3 308×	`-lowering-.f32`
3 308×	`-lowering-.f64`
1 882×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	77
1	52	77
2	122	73
3	346	73
4	1194	73
5	2597	73
6	4222	73
7	6633	73
0	8087	72

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (log 2) (* x (- 1/2 y)))
(log 2)
2
(* x (- 1/2 y))
x
(- 1/2 y)
1/2
y
(* x (neg y))
x
(neg y)
y
(* x (/ (- 0 (* y y)) y))
x
(/ (- 0 (* y y)) y)
(- 0 (* y y))
0
(* y y)
y
(/ (* (* y (- 0 (* y y))) x) (* y y))
(* (* y (- 0 (* y y))) x)
(* y (- 0 (* y y)))
y
(- 0 (* y y))
0
(* y y)
x
(log (+ 1 1))
1

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

localize63.0ms (0.8%)

Memory

7.2MiB live, 165.2MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log1p.f64 #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	99.9%	(.f64 y (-.f64 #s(literal 0 binary64) (.f64 y y)))
✓	accuracy	92.8%	(.f64 (.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y y))) x)
✓	accuracy	39.0%	(/.f64 (.f64 (.f64 y (-.f64 #s(literal 0 binary64) (.f64 y y))) x) (.f64 y y))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) (*.f64 y y))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) y))
✓	accuracy	52.4%	(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) y)
✓	accuracy	100.0%	(*.f64 x (neg.f64 y))
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	100.0%	(-.f64 #s(literal 1/2 binary64) y)
✓	accuracy	100.0%	(log.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
✓	accuracy	100.0%	(*.f64 x (-.f64 #s(literal 1/2 binary64) y))

Samples

39.0ms

256×

valid

Compiler

Compiled 102 to 22 computations (78.4% saved)

Precisions

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

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

ival-div: 3.0ms (12.6% of total)

ival-log: 3.0ms (12.6% of total)

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

ival-log1p: 2.0ms (8.4% of total)

ival-add: 1.0ms (4.2% of total)

exact: 1.0ms (4.2% of total)

ival-neg: 1.0ms (4.2% of total)

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

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

series11.0ms (0.1%)

Memory

-16.9MiB live, 21.9MiB allocated

Counts

14 → 216

Calls

Call 1

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

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

Calls

54 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(* x (- 1/2 y))
1.0ms	x	@	0	(* (* y (- 0 (* y y))) x)
1.0ms	x	@	inf	(* (* y (- 0 (* y y))) x)
1.0ms	y	@	0	(* (* y (- 0 (* y y))) x)
0.0ms	x	@	-inf	(+ (log 2) (* x (- 1/2 y)))

rewrite623.0ms (8%)

Memory

33.5MiB live, 1 021.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 734×	`accelerator-lowering-fma.f32`
5 734×	`accelerator-lowering-fma.f64`
4 568×	`-lowering-.f32`
4 568×	`-lowering-.f64`
4 128×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	57
1	104	53
2	753	53
0	8816	52

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 2 602

Calls

Call 1

Inputs
(+ (log 2) (* x (- 1/2 y)))
(log 2)
(* x (- 1/2 y))
(- 1/2 y)
(* x (neg y))
(neg y)
(/ (- 0 (* y y)) y)
(* x (/ (- 0 (* y y)) y))
(- 0 (* y y))
(* y y)
(/ (* (* y (- 0 (* y y))) x) (* y y))
(* (* y (- 0 (* y y))) x)
(* y (- 0 (* y y)))
(log (+ 1 1))

Outputs
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(+.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
(+.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y)))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y)))) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x y)) (log.f64 #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x y)) (log.f64 #s(literal 2 binary64))))
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (.f64 x y)))
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) x)) (-.f64 #s(literal 0 binary64) (.f64 x y)))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y)))) (/.f64 (.f64 x (.f64 x (.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y)))) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y)))) (+.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 1/2 binary64)))))
(fma.f64 x #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (log.f64 #s(literal 2 binary64))))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (log.f64 #s(literal 2 binary64))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(fma.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y)))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y)))) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))))
(fma.f64 (-.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) y)))) x) (log.f64 #s(literal 2 binary64)))
(fma.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)) x) (log.f64 #s(literal 2 binary64)))
(fma.f64 (.f64 x (-.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) y)))) (log.f64 #s(literal 2 binary64)))
(fma.f64 (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
(fma.f64 (.f64 (-.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) y)))) (log.f64 #s(literal 2 binary64)))
(fma.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
(fma.f64 (/.f64 (.f64 x (-.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y)))) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 y (+.f64 #s(literal 1/2 binary64) y)) (.f64 y (.f64 (+.f64 #s(literal 1/2 binary64) y) (.f64 y (+.f64 #s(literal 1/2 binary64) y))))))) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 y (+.f64 #s(literal 1/2 binary64) y)) (-.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) y)) #s(literal 1/4 binary64)))) (log.f64 #s(literal 2 binary64)))
(fma.f64 (/.f64 (.f64 x (-.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y)))) (-.f64 #s(literal 1/16 binary64) (.f64 y (.f64 (+.f64 #s(literal 1/2 binary64) y) (.f64 y (+.f64 #s(literal 1/2 binary64) y)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) y))) (log.f64 #s(literal 2 binary64)))
(fma.f64 (/.f64 (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 y y))) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(fma.f64 (/.f64 (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 y y))) (+.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y)))) (+.f64 #s(literal 1/4 binary64) (*.f64 y (-.f64 y #s(literal 1/2 binary64)))) (log.f64 #s(literal 2 binary64)))
(fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y))) x) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 y (+.f64 #s(literal 1/2 binary64) y)) (.f64 y (.f64 (+.f64 #s(literal 1/2 binary64) y) (.f64 y (+.f64 #s(literal 1/2 binary64) y))))))) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 y (+.f64 #s(literal 1/2 binary64) y)) (-.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) y)) #s(literal 1/4 binary64)))) (log.f64 #s(literal 2 binary64)))
(fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y))) x) (-.f64 #s(literal 1/16 binary64) (.f64 y (.f64 (+.f64 #s(literal 1/2 binary64) y) (.f64 y (+.f64 #s(literal 1/2 binary64) y)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) y))) (log.f64 #s(literal 2 binary64)))
(fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x) (+.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y)))) (+.f64 #s(literal 1/4 binary64) (*.f64 y (-.f64 y #s(literal 1/2 binary64)))) (log.f64 #s(literal 2 binary64)))
(fma.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (+.f64 y #s(literal -1/2 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x x))))) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y)))) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))))))
(fma.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 (.f64 x (+.f64 y #s(literal -1/2 binary64))) (.f64 x (.f64 x (.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y))))))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y)))) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 x (.f64 (.f64 x (.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y))) (.f64 x (-.f64 #s(literal 1/2 binary64) y))))) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x (.f64 (-.f64 #s(literal 1/2 binary64) y) (+.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 1/2 binary64)))))))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (+.f64 y #s(literal -1/2 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x x)))) (-.f64 #s(literal 0 binary64) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 x (.f64 (.f64 x (.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y))) (.f64 x (-.f64 #s(literal 1/2 binary64) y)))))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x (.f64 (-.f64 #s(literal 1/2 binary64) y) (+.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 1/2 binary64))))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (+.f64 y #s(literal -1/2 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x x))))) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (.f64 x (.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y)))) (.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 x (.f64 (.f64 x (.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y))) (.f64 x (-.f64 #s(literal 1/2 binary64) y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 1/2 binary64))) (-.f64 (.f64 x (.f64 x (.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y)))) (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 x (.f64 (.f64 x (.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y))) (.f64 x (-.f64 #s(literal 1/2 binary64) y))))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x (.f64 (-.f64 #s(literal 1/2 binary64) y) (+.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 1/2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 x (.f64 (.f64 x (.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y))) (.f64 x (-.f64 #s(literal 1/2 binary64) y))))) (+.f64 (.f64 x (.f64 x (.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y)))) (.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (+.f64 y #s(literal -1/2 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x x)))) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 x (.f64 (.f64 x (.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y))) (.f64 x (-.f64 #s(literal 1/2 binary64) y)))))) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x (.f64 (-.f64 #s(literal 1/2 binary64) y) (+.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 1/2 binary64))))))))
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(*.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64)))
(.f64 (/.f64 (neg.f64 (.f64 y (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))))) (.f64 (.f64 y y) (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))))) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y (.f64 y (*.f64 y y))))))
(.f64 (/.f64 (neg.f64 (.f64 y (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))))) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))))) (.f64 y (.f64 y (*.f64 y y))))
(.f64 (/.f64 (neg.f64 (.f64 y (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))))) (/.f64 (.f64 y y) (/.f64 #s(literal -1 binary64) (.f64 y y))))
(.f64 (/.f64 (neg.f64 (.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))) y)) (.f64 (.f64 y y) (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))))) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y (.f64 y (*.f64 y y))))))
(.f64 (/.f64 (neg.f64 (.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))) y)) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))))) (.f64 y (.f64 y (*.f64 y y))))
(.f64 (/.f64 (neg.f64 (.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))) y)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))))) (/.f64 (.f64 y y) (/.f64 #s(literal -1 binary64) (.f64 y y))))
(.f64 (/.f64 (neg.f64 (.f64 y (.f64 y (.f64 y (.f64 y y))))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))))) (/.f64 (.f64 y y) (/.f64 #s(literal -1 binary64) (.f64 y y))))
(.f64 (/.f64 (neg.f64 (.f64 y (.f64 y (.f64 y (.f64 y y))))) (/.f64 (.f64 y y) (/.f64 #s(literal -1 binary64) (.f64 y y)))) (.f64 y (-.f64 #s(literal 0 binary64) y)))
(.f64 (/.f64 (neg.f64 (.f64 y (.f64 y (.f64 y (.f64 y y))))) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) (.f64 y (.f64 y (*.f64 y y))))
(log.f64 #s(literal 2 binary64))

simplify261.0ms (3.4%)

Memory

-10.2MiB live, 431.5MiB allocated

Algorithm

1×	egg-herbie

Rules

6 456×	`accelerator-lowering-fma.f32`
6 456×	`accelerator-lowering-fma.f64`
2 760×	`-lowering-.f32`
2 760×	`-lowering-.f64`
1 044×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	930
1	176	930
2	484	930
3	1227	930
4	3525	930
5	5004	930
6	6154	930
7	7254	930
0	8019	911

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

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

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

eval393.0ms (5.1%)

Memory: -8.7MiB live, 576.6MiB allocated
Compiler: Compiled 80 971 to 4 638 computations (94.3% saved)

prune319.0ms (4.1%)

Memory

13.0MiB live, 560.1MiB allocated

Pruning

28 alts after pruning (22 fresh and 6 done)

	Pruned	Kept	Total
New	3 199	17	3 216
Fresh	7	5	12
Picked	2	3	5
Done	0	3	3
Total	3 208	28	3 236

Accuracy

99.9%

Counts

3 236 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	12.9%	(/.f64 (.f64 (.f64 y (/.f64 y (/.f64 #s(literal -1 binary64) y))) x) (*.f64 y y))
	11.9%	(/.f64 (.f64 (.f64 y (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))))) x) (*.f64 y y))
	3.4%	(/.f64 (.f64 (.f64 x (.f64 y (.f64 y y))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))))) (.f64 (/.f64 (.f64 y y) (/.f64 #s(literal -1 binary64) (.f64 y y))) (/.f64 (.f64 y y) (/.f64 #s(literal -1 binary64) (.f64 y y)))))
	18.4%	(/.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x (-.f64 #s(literal 0 binary64) y)))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 #s(literal 0 binary64) (.f64 x y)))))
	25.8%	(/.f64 (*.f64 y (-.f64 #s(literal 0 binary64) y)) (/.f64 y x))
	54.5%	(/.f64 x (/.f64 #s(literal -1 binary64) y))
	54.4%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
✓	99.6%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	88.2%	(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
	19.8%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (fma.f64 (/.f64 (/.f64 (.f64 y y) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3/2 binary64))) #s(literal 1/2 binary64))))
▶	80.9%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)))))
✓	81.0%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
	52.8%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 x x)))))))
	48.5%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64)))))
	19.4%	(.f64 (.f64 (/.f64 (/.f64 x y) y) (*.f64 y (-.f64 #s(literal 0 binary64) y))) y)
▶	25.9%	(.f64 (.f64 y y) (*.f64 (/.f64 #s(literal -1 binary64) y) x))
	54.5%	(.f64 y (.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) y)))
▶	5.9%	(.f64 x (/.f64 (/.f64 (.f64 (neg.f64 (.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))) y)) (/.f64 #s(literal 1 binary64) y)) (.f64 y (.f64 y (*.f64 y y)))) y))
	6.3%	(.f64 x (/.f64 (/.f64 (.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) y)) (.f64 y (.f64 y (.f64 y y)))) y))
▶	29.2%	(.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 y y) (*.f64 (/.f64 #s(literal 1 binary64) y) y))) y))
	11.9%	(.f64 x (/.f64 (.f64 (/.f64 (.f64 y (.f64 y y)) (/.f64 y (/.f64 #s(literal -1 binary64) (.f64 y y)))) (.f64 y y)) y))
	29.3%	(.f64 x (/.f64 (neg.f64 (.f64 y y)) y))
	36.6%	(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
▶	5.0%	(.f64 x (.f64 x #s(literal 1/8 binary64)))
✓	54.7%	(*.f64 x (neg.f64 y))
	45.7%	(log1p.f64 (+.f64 x #s(literal 1 binary64)))
✓	47.1%	(log1p.f64 (exp.f64 x))
✓	46.7%	(log1p.f64 #s(literal 1 binary64))

Compiler

Compiled 810 to 466 computations (42.5% saved)

simplify280.0ms (3.6%)

Memory

-13.2MiB live, 357.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x (/.f64 (/.f64 (.f64 (neg.f64 (.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))) y)) (/.f64 #s(literal 1 binary64) y)) (.f64 y (.f64 y (*.f64 y y)))) y))
✓	cost-diff	256	(/.f64 (/.f64 (.f64 (neg.f64 (.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))) y)) (/.f64 #s(literal 1 binary64) y)) (.f64 y (.f64 y (.f64 y y)))) y)
✓	cost-diff	384	(.f64 (neg.f64 (.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (*.f64 y y)))) y)) (/.f64 #s(literal 1 binary64) y))
✓	cost-diff	1024	(/.f64 (.f64 (neg.f64 (.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))) y)) (/.f64 #s(literal 1 binary64) y)) (.f64 y (.f64 y (.f64 y y))))
✓	cost-diff	0	(.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 y y) (*.f64 (/.f64 #s(literal 1 binary64) y) y))) y))
✓	cost-diff	128	(/.f64 (.f64 y y) (.f64 (/.f64 #s(literal 1 binary64) y) y))
✓	cost-diff	256	(*.f64 (/.f64 #s(literal 1 binary64) y) y)
✓	cost-diff	256	(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 y y) (.f64 (/.f64 #s(literal 1 binary64) y) y))) y)
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) y)
✓	cost-diff	0	(*.f64 (/.f64 #s(literal -1 binary64) y) x)
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	256	(.f64 (.f64 y y) (*.f64 (/.f64 #s(literal -1 binary64) y) x))
✓	cost-diff	0	(*.f64 x #s(literal 1/8 binary64))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal 1/8 binary64)))
✓	cost-diff	0	(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y))))
✓	cost-diff	0	(log.f64 #s(literal 2 binary64))
✓	cost-diff	0	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)))))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)))

Rules

6 020×	`-lowering-.f32`
6 020×	`-lowering-.f64`
3 756×	`accelerator-lowering-fma.f32`
3 756×	`accelerator-lowering-fma.f64`
1 456×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	181
1	111	127
2	390	121
3	2533	121
4	4424	121
5	6677	121
0	8037	120

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (log 2) (* x (/ 1 (/ 1 (- 1/2 y)))))
(log 2)
2
(* x (/ 1 (/ 1 (- 1/2 y))))
x
(/ 1 (/ 1 (- 1/2 y)))
1
(/ 1 (- 1/2 y))
(- 1/2 y)
1/2
y
(* x (* x 1/8))
x
(* x 1/8)
1/8
(* (* y y) (* (/ -1 y) x))
(* y y)
y
(* (/ -1 y) x)
(/ -1 y)
-1
x
(* x (/ (- 0 (/ (* y y) (* (/ 1 y) y))) y))
x
(/ (- 0 (/ (* y y) (* (/ 1 y) y))) y)
(- 0 (/ (* y y) (* (/ 1 y) y)))
0
(/ (* y y) (* (/ 1 y) y))
(* y y)
y
(* (/ 1 y) y)
(/ 1 y)
1
(* x (/ (/ (* (neg (* (* (* y y) (* y (* y (* y y)))) y)) (/ 1 y)) (* y (* y (* y y)))) y))
x
(/ (/ (* (neg (* (* (* y y) (* y (* y (* y y)))) y)) (/ 1 y)) (* y (* y (* y y)))) y)
(/ (* (neg (* (* (* y y) (* y (* y (* y y)))) y)) (/ 1 y)) (* y (* y (* y y))))
(* (neg (* (* (* y y) (* y (* y (* y y)))) y)) (/ 1 y))
(neg (* (* (* y y) (* y (* y (* y y)))) y))
(* (* (* y y) (* y (* y (* y y)))) y)
(* (* y y) (* y (* y (* y y))))
(* y y)
y
(* y (* y (* y y)))
(* y (* y y))
(/ 1 y)
1

Outputs
(+ (log 2) (* x (/ 1 (/ 1 (- 1/2 y)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(log 2)
(log.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* x (/ 1 (/ 1 (- 1/2 y))))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
x
(/ 1 (/ 1 (- 1/2 y)))
(-.f64 #s(literal 1/2 binary64) y)
1
#s(literal 1 binary64)
(/ 1 (- 1/2 y))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y))
(- 1/2 y)
(-.f64 #s(literal 1/2 binary64) y)
1/2
#s(literal 1/2 binary64)
y
(* x (* x 1/8))
(.f64 x (.f64 x #s(literal 1/8 binary64)))
x
(* x 1/8)
(*.f64 x #s(literal 1/8 binary64))
1/8
#s(literal 1/8 binary64)
(* (* y y) (* (/ -1 y) x))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(* y y)
(*.f64 y y)
y
(* (/ -1 y) x)
(-.f64 #s(literal 0 binary64) (/.f64 x y))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
-1
#s(literal -1 binary64)
x
(* x (/ (- 0 (/ (* y y) (* (/ 1 y) y))) y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
x
(/ (- 0 (/ (* y y) (* (/ 1 y) y))) y)
(-.f64 #s(literal 0 binary64) y)
(- 0 (/ (* y y) (* (/ 1 y) y)))
(-.f64 #s(literal 0 binary64) (*.f64 y y))
0
#s(literal 0 binary64)
(/ (* y y) (* (/ 1 y) y))
(*.f64 y y)
(* y y)
(*.f64 y y)
y
(* (/ 1 y) y)
#s(literal 1 binary64)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
(* x (/ (/ (* (neg (* (* (* y y) (* y (* y (* y y)))) y)) (/ 1 y)) (* y (* y (* y y)))) y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
x
(/ (/ (* (neg (* (* (* y y) (* y (* y (* y y)))) y)) (/ 1 y)) (* y (* y (* y y)))) y)
(-.f64 #s(literal 0 binary64) y)
(/ (* (neg (* (* (* y y) (* y (* y (* y y)))) y)) (/ 1 y)) (* y (* y (* y y))))
(-.f64 #s(literal 0 binary64) (*.f64 y y))
(* (neg (* (* (* y y) (* y (* y (* y y)))) y)) (/ 1 y))
(-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 y (.f64 y (*.f64 y y))))))
(neg (* (* (* y y) (* y (* y (* y y)))) y))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y (.f64 y y)))))
(* (* (* y y) (* y (* y (* y y)))) y)
(.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y (.f64 y y))))
(* (* y y) (* y (* y (* y y))))
(.f64 y (.f64 y (.f64 y (.f64 y (*.f64 y y)))))
(* y y)
(*.f64 y y)
y
(* y (* y (* y y)))
(.f64 y (.f64 y (*.f64 y y)))
(* y (* y y))
(.f64 y (.f64 y y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)

localize117.0ms (1.5%)

Memory

18.2MiB live, 172.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 y (.f64 y (*.f64 y y)))
✓	accuracy	98.8%	(.f64 (neg.f64 (.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (*.f64 y y)))) y)) (/.f64 #s(literal 1 binary64) y))
✓	accuracy	52.4%	(/.f64 (/.f64 (.f64 (neg.f64 (.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))) y)) (/.f64 #s(literal 1 binary64) y)) (.f64 y (.f64 y (.f64 y y)))) y)
✓	accuracy	14.6%	(/.f64 (.f64 (neg.f64 (.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))) y)) (/.f64 #s(literal 1 binary64) y)) (.f64 y (.f64 y (.f64 y y))))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 y y) (*.f64 (/.f64 #s(literal 1 binary64) y) y))) y))
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) y) y)
✓	accuracy	52.4%	(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 y y) (.f64 (/.f64 #s(literal 1 binary64) y) y))) y)
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) y)
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	99.8%	(*.f64 (/.f64 #s(literal -1 binary64) y) x)
✓	accuracy	61.1%	(.f64 (.f64 y y) (*.f64 (/.f64 #s(literal -1 binary64) y) x))
✓	accuracy	100.0%	(.f64 x (.f64 x #s(literal 1/8 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/8 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y))
✓	accuracy	100.0%	(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y))))
✓	accuracy	100.0%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)))))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)))

Samples

66.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 302 to 37 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 20.0ms (47.3% of total)

ival-div: 13.0ms (30.8% of total)

ival-sub: 3.0ms (7.1% of total)

ival-log: 3.0ms (7.1% of total)

exact: 1.0ms (2.4% of total)

ival-add: 1.0ms (2.4% of total)

ival-neg: 1.0ms (2.4% of total)

adjust: 0.0ms (0% of total)

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

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

series9.0ms (0.1%)

Memory

16.5MiB live, 16.5MiB allocated

Counts

20 → 300

Calls

Call 1

Inputs
#<alt (/ 1 (/ 1 (- 1/2 y)))>
#<alt (+ (log 2) (* x (/ 1 (/ 1 (- 1/2 y)))))>
#<alt (log 2)>
#<alt (* x (/ 1 (/ 1 (- 1/2 y))))>
#<alt (* x (* x 1/8))>
#<alt (* x 1/8)>
#<alt (* (* y y) (* (/ -1 y) x))>
#<alt (* y y)>
#<alt (* (/ -1 y) x)>
#<alt (/ -1 y)>
#<alt (/ (- 0 (/ (* y y) (* (/ 1 y) y))) y)>
#<alt (* (/ 1 y) y)>
#<alt (/ (* y y) (* (/ 1 y) y))>
#<alt (* x (/ (- 0 (/ (* y y) (* (/ 1 y) y))) y))>
#<alt (/ (* (neg (* (* (* y y) (* y (* y (* y y)))) y)) (/ 1 y)) (* y (* y (* y y))))>
#<alt (* (neg (* (* (* y y) (* y (* y (* y y)))) y)) (/ 1 y))>
#<alt (/ (/ (* (neg (* (* (* y y) (* y (* y (* y y)))) y)) (/ 1 y)) (* y (* y (* y y)))) y)>
#<alt (* x (/ (/ (* (neg (* (* (* y y) (* y (* y (* y y)))) y)) (/ 1 y)) (* y (* y (* y y)))) y))>
#<alt (/ 1 (- 1/2 y))>
#<alt (* y (* y (* y y)))>

Outputs
#<alt 1/2>
#<alt (+ 1/2 (* -1 y))>
#<alt (+ 1/2 (* -1 y))>
#<alt (+ 1/2 (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (* 1/2 (/ 1 y)) 1))>
#<alt (* y (- (* 1/2 (/ 1 y)) 1))>
#<alt (* y (- (* 1/2 (/ 1 y)) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (- 1 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (- 1 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (- 1 (* 1/2 (/ 1 y)))))>
#<alt (log 2)>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- (+ 1/2 (/ (log 2) x)) y))>
#<alt (* x (- (+ 1/2 (/ (log 2) x)) y))>
#<alt (* x (- (+ 1/2 (/ (log 2) x)) y))>
#<alt (* x (- 1/2 y))>
#<alt (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))>
#<alt (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))>
#<alt (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))>
#<alt (+ (log 2) (* 1/2 x))>
#<alt (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))>
#<alt (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))>
#<alt (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))>
#<alt (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))>
#<alt (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* 1/2 x)>
#<alt (+ (* -1 (* x y)) (* 1/2 x))>
#<alt (+ (* -1 (* x y)) (* 1/2 x))>
#<alt (+ (* -1 (* x y)) (* 1/2 x))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (* 1/2 (/ x y))))>
#<alt (* y (+ (* -1 x) (* 1/2 (/ x y))))>
#<alt (* y (+ (* -1 x) (* 1/2 (/ x y))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (+ x (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ x (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ x (* -1/2 (/ x y)))))>
#<alt (* 1/8 (pow x 2))>
#<alt (* 1/8 (pow x 2))>
#<alt (* 1/8 (pow x 2))>
#<alt (* 1/8 (pow x 2))>
#<alt (* 1/8 (pow x 2))>
#<alt (* 1/8 (pow x 2))>
#<alt (* 1/8 (pow x 2))>
#<alt (* 1/8 (pow x 2))>
#<alt (* 1/8 (pow x 2))>
#<alt (* 1/8 (pow x 2))>
#<alt (* 1/8 (pow x 2))>
#<alt (* 1/8 (pow x 2))>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 6))>
#<alt (* -1 (pow y 6))>
#<alt (* -1 (pow y 6))>
#<alt (* -1 (pow y 6))>
#<alt (* -1 (pow y 6))>
#<alt (* -1 (pow y 6))>
#<alt (* -1 (pow y 6))>
#<alt (* -1 (pow y 6))>
#<alt (* -1 (pow y 6))>
#<alt (* -1 (pow y 6))>
#<alt (* -1 (pow y 6))>
#<alt (* -1 (pow y 6))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt 2>
#<alt (+ 2 (* 4 y))>
#<alt (+ 2 (* y (+ 4 (* 8 y))))>
#<alt (+ 2 (* y (+ 4 (* y (+ 8 (* 16 y))))))>
#<alt (/ -1 y)>
#<alt (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))>
#<alt (/ (- (* -1 (/ (+ 1/2 (* 1/4 (/ 1 y))) y)) 1) y)>
#<alt (/ (- (* -1 (/ (+ 1/4 (* 1/8 (/ 1 y))) (pow y 2))) (+ 1 (* 1/2 (/ 1 y)))) y)>
#<alt (/ -1 y)>
#<alt (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))>
#<alt (* -1 (/ (+ 1 (+ (/ 1/4 (pow y 2)) (* 1/2 (/ 1 y)))) y))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/4 (* 1/8 (/ 1 y))) y)) 1/2) y))) y))>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>

Calls

75 calls:

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

rewrite94.0ms (1.2%)

Memory

-13.0MiB live, 151.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

722×	`-lowering-.f32`
722×	`-lowering-.f64`
628×	`/-lowering-/.f32`
628×	`/-lowering-/.f64`
370×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	124
1	197	72
0	1549	71

Stop Event

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

Counts

20 → 529

Calls

Call 1

Inputs
(/ 1 (/ 1 (- 1/2 y)))
(+ (log 2) (* x (/ 1 (/ 1 (- 1/2 y)))))
(log 2)
(* x (/ 1 (/ 1 (- 1/2 y))))
(* x (* x 1/8))
(* x 1/8)
(* (* y y) (* (/ -1 y) x))
(* y y)
(* (/ -1 y) x)
(/ -1 y)
(/ (- 0 (/ (* y y) (* (/ 1 y) y))) y)
(* (/ 1 y) y)
(/ (* y y) (* (/ 1 y) y))
(* x (/ (- 0 (/ (* y y) (* (/ 1 y) y))) y))
(/ (* (neg (* (* (* y y) (* y (* y (* y y)))) y)) (/ 1 y)) (* y (* y (* y y))))
(* (neg (* (* (* y y) (* y (* y (* y y)))) y)) (/ 1 y))
(/ (/ (* (neg (* (* (* y y) (* y (* y (* y y)))) y)) (/ 1 y)) (* y (* y (* y y)))) y)
(* x (/ (/ (* (neg (* (* (* y y) (* y (* y (* y y)))) y)) (/ 1 y)) (* y (* y (* y y)))) y))
(/ 1 (- 1/2 y))
(* y (* y (* y y)))

Outputs
(+.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) y))
(+.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)))
(+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)))
(-.f64 #s(literal 1/2 binary64) y)
(-.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) y)))) (/.f64 (.f64 y (.f64 y y)) (+.f64 #s(literal 1/4 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) y)))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y) #s(literal 1/2 binary64))
(fma.f64 y #s(literal -1 binary64) #s(literal 1/2 binary64))
(fma.f64 y (*.f64 y (/.f64 #s(literal -1 binary64) y)) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1 binary64) y #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (/.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y (.f64 y (.f64 y (.f64 y y))))) #s(literal 1/2 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y (.f64 y y))))) y) #s(literal 1/2 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y (*.f64 y y))))) #s(literal 1/2 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (.f64 y (.f64 y (.f64 y y)))) #s(literal 1/2 binary64))
(neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) y))) (-.f64 #s(literal 1/8 binary64) (.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))))
(/.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y))) (+.f64 #s(literal 1/4 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) y))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y))) (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) y)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (+.f64 #s(literal 1/2 binary64) y))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (-.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))
(/.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) y)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (neg.f64 (+.f64 #s(literal 1/2 binary64) y)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 y y) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) y)))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y)))) (+.f64 #s(literal 1/4 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) y))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 y y))) (+.f64 #s(literal 1/2 binary64) y))
(pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y))
(*.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) y)))
(.f64 (-.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) y)))))
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(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (.f64 y (.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 x (-.f64 #s(literal 0 binary64) (.f64 y y)))))
(/.f64 x (/.f64 #s(literal -1 binary64) y))
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(/.f64 (.f64 (.f64 y y) x) (-.f64 #s(literal 0 binary64) y))
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(.f64 (.f64 (*.f64 y y) x) (/.f64 #s(literal -1 binary64) y))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) y)))
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64))
(pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y)))
(*.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y)))) (+.f64 #s(literal 1/4 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) y))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 y y))) (+.f64 #s(literal 1/2 binary64) y))
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(fma.f64 (.f64 y y) (.f64 y y) #s(literal 0 binary64))
(fma.f64 (.f64 y (.f64 y y)) y #s(literal 0 binary64))
(fma.f64 (.f64 y (.f64 y (*.f64 y y))) #s(literal 1 binary64) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y (*.f64 y y)))))
(/.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (.f64 y y)))
(/.f64 (.f64 y y) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 (.f64 y (.f64 y (*.f64 y y))) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 y y))
(/.f64 (.f64 (.f64 y y) (-.f64 #s(literal 0 binary64) (*.f64 y y))) #s(literal -1 binary64))
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(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (-.f64 #s(literal 0 binary64) (*.f64 y y))) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 y (.f64 y (.f64 y y)))) #s(literal 0 binary64)) (-.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 0 binary64)))
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(.f64 y (.f64 y (*.f64 y y)))
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simplify255.0ms (3.3%)

Memory

2.0MiB live, 509.5MiB allocated

Algorithm

1×	egg-herbie

Rules

6 570×	`accelerator-lowering-fma.f32`
6 570×	`accelerator-lowering-fma.f64`
2 548×	`-lowering-.f32`
2 548×	`-lowering-.f64`
1 870×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	1208
1	306	1202
2	765	1198
3	1772	1198
4	5213	1198
5	7531	1198
0	8116	1173

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

Calls

Call 1

Inputs
1/2
(+ 1/2 (* -1 y))
(+ 1/2 (* -1 y))
(+ 1/2 (* -1 y))
(* -1 y)
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (- (* 1/2 (/ 1 y)) 1))
(* -1 y)
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- 1/2 y)))
(* x (- 1/2 y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* x (- 1/2 y))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(+ (log 2) (* 1/2 x))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(* -1 (* x y))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* 1/2 x)
(+ (* -1 (* x y)) (* 1/2 x))
(+ (* -1 (* x y)) (* 1/2 x))
(+ (* -1 (* x y)) (* 1/2 x))
(* -1 (* x y))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(* -1 (* x y))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
1
1
1
1
1
1
1
1
1
1
1
1
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 6))
(* -1 (pow y 6))
(* -1 (pow y 6))
(* -1 (pow y 6))
(* -1 (pow y 6))
(* -1 (pow y 6))
(* -1 (pow y 6))
(* -1 (pow y 6))
(* -1 (pow y 6))
(* -1 (pow y 6))
(* -1 (pow y 6))
(* -1 (pow y 6))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
2
(+ 2 (* 4 y))
(+ 2 (* y (+ 4 (* 8 y))))
(+ 2 (* y (+ 4 (* y (+ 8 (* 16 y))))))
(/ -1 y)
(* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))
(/ (- (* -1 (/ (+ 1/2 (* 1/4 (/ 1 y))) y)) 1) y)
(/ (- (* -1 (/ (+ 1/4 (* 1/8 (/ 1 y))) (pow y 2))) (+ 1 (* 1/2 (/ 1 y)))) y)
(/ -1 y)
(* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))
(* -1 (/ (+ 1 (+ (/ 1/4 (pow y 2)) (* 1/2 (/ 1 y)))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/4 (* 1/8 (/ 1 y))) y)) 1/2) y))) y))
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)

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

eval163.0ms (2.1%)

Memory: 36.9MiB live, 227.7MiB allocated
Compiler: Compiled 22 346 to 2 808 computations (87.4% saved)

prune120.0ms (1.6%)

Memory

8.2MiB live, 281.5MiB allocated

Pruning

31 alts after pruning (21 fresh and 10 done)

	Pruned	Kept	Total
New	1 116	7	1 123
Fresh	3	14	17
Picked	1	4	5
Done	0	6	6
Total	1 120	31	1 151

Accuracy

99.9%

Counts

1 151 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	12.9%	(/.f64 (.f64 (.f64 y (/.f64 y (/.f64 #s(literal -1 binary64) y))) x) (*.f64 y y))
	11.9%	(/.f64 (.f64 (.f64 y (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))))) x) (*.f64 y y))
	28.5%	(/.f64 (.f64 (.f64 y y) (neg.f64 x)) y)
	3.4%	(/.f64 (.f64 (.f64 x (.f64 y (.f64 y y))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))))) (.f64 (/.f64 (.f64 y y) (/.f64 #s(literal -1 binary64) (.f64 y y))) (/.f64 (.f64 y y) (/.f64 #s(literal -1 binary64) (.f64 y y)))))
	18.4%	(/.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x (-.f64 #s(literal 0 binary64) y)))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 #s(literal 0 binary64) (.f64 x y)))))
	54.5%	(/.f64 x (/.f64 #s(literal -1 binary64) y))
	54.4%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
✓	99.6%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	88.2%	(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
	19.8%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (fma.f64 (/.f64 (/.f64 (.f64 y y) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3/2 binary64))) #s(literal 1/2 binary64))))
✓	80.9%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)))))
✓	81.0%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
	52.8%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 x x)))))))
	48.5%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64)))))
	20.1%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 y (.f64 y y)))) (.f64 (/.f64 #s(literal -1 binary64) y) x))
	19.4%	(.f64 (.f64 (/.f64 (/.f64 x y) y) (*.f64 y (-.f64 #s(literal 0 binary64) y))) y)
	25.9%	(.f64 (.f64 y y) (/.f64 (neg.f64 x) y))
	5.5%	(.f64 (.f64 y y) (.f64 (/.f64 (/.f64 y (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y (*.f64 y y))))) x))
✓	25.9%	(.f64 (.f64 y y) (*.f64 (/.f64 #s(literal -1 binary64) y) x))
	54.5%	(.f64 y (.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) y)))
	6.3%	(.f64 x (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (neg.f64 (.f64 y (.f64 y y)))) (.f64 y (.f64 y (*.f64 y y)))) y))
	5.9%	(.f64 x (/.f64 (/.f64 (.f64 (neg.f64 (.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))) y)) (/.f64 #s(literal 1 binary64) y)) (.f64 y (.f64 y (/.f64 y (/.f64 #s(literal 1 binary64) y))))) y))
	7.7%	(.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (-.f64 #s(literal 0 binary64) y)))) y))
✓	29.2%	(.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 y y) (*.f64 (/.f64 #s(literal 1 binary64) y) y))) y))
	29.3%	(.f64 x (/.f64 (neg.f64 (.f64 y y)) y))
	36.6%	(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
✓	5.0%	(.f64 x (.f64 x #s(literal 1/8 binary64)))
✓	54.7%	(*.f64 x (neg.f64 y))
	45.7%	(log1p.f64 (+.f64 x #s(literal 1 binary64)))
✓	47.1%	(log1p.f64 (exp.f64 x))
✓	46.7%	(log1p.f64 #s(literal 1 binary64))

Compiler

Compiled 1 150 to 460 computations (60% saved)

regimes56.0ms (0.7%)

Memory

4.4MiB live, 114.0MiB allocated

Counts

49 → 1

Calls

Call 1

Inputs
(*.f64 x (neg.f64 y))
(.f64 x (.f64 x #s(literal 1/8 binary64)))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(/.f64 x (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))
(.f64 x (/.f64 (neg.f64 (.f64 y y)) y))
(.f64 (.f64 y y) (/.f64 (neg.f64 x) y))
(/.f64 (.f64 (.f64 y y) (neg.f64 x)) y)
(.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y)))
(.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) y))
(.f64 (.f64 y y) (*.f64 (/.f64 #s(literal -1 binary64) y) x))
(/.f64 (*.f64 y (-.f64 #s(literal 0 binary64) y)) (/.f64 y x))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) x) y)
(.f64 x (.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)))
(.f64 y (.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) y)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) x) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 (/.f64 (/.f64 x y) y) (*.f64 y (-.f64 #s(literal 0 binary64) y))) y)
(/.f64 (.f64 (.f64 y (-.f64 #s(literal 0 binary64) (.f64 y y))) x) (.f64 y y))
(/.f64 (.f64 (.f64 y (/.f64 y (/.f64 #s(literal -1 binary64) y))) x) (*.f64 y y))
(.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 y y) (*.f64 (/.f64 #s(literal 1 binary64) y) y))) y))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 y (.f64 y y)))) (.f64 (/.f64 #s(literal -1 binary64) y) x))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (.f64 (.f64 y (-.f64 #s(literal 0 binary64) (.f64 y y))) x)))
(/.f64 (.f64 (.f64 x y) (.f64 x (-.f64 #s(literal 0 binary64) y))) (+.f64 #s(literal 0 binary64) (.f64 x y)))
(.f64 x (/.f64 (.f64 (/.f64 (.f64 y (.f64 y y)) (/.f64 y (/.f64 #s(literal -1 binary64) (.f64 y y)))) (.f64 y y)) y))
(/.f64 (.f64 (.f64 y (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))))) x) (*.f64 y y))
(.f64 x (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (neg.f64 (.f64 y (.f64 y y)))) (.f64 y (.f64 y (*.f64 y y)))) y))
(.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (-.f64 #s(literal 0 binary64) y)))) y))
(.f64 x (/.f64 (/.f64 (.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) y)) (.f64 y (.f64 y (.f64 y y)))) y))
(/.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x (-.f64 #s(literal 0 binary64) y)))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 #s(literal 0 binary64) (.f64 x y)))))
(.f64 x (/.f64 (/.f64 (.f64 (neg.f64 (.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))) y)) (/.f64 #s(literal 1 binary64) y)) (.f64 y (.f64 y (*.f64 y y)))) y))
(.f64 (.f64 y y) (.f64 (/.f64 (/.f64 y (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y (*.f64 y y))))) x))
(.f64 x (/.f64 (/.f64 (.f64 (neg.f64 (.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))) y)) (/.f64 #s(literal 1 binary64) y)) (.f64 y (.f64 y (/.f64 y (/.f64 #s(literal 1 binary64) y))))) y))
(/.f64 (.f64 (.f64 x (.f64 y (.f64 y y))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))))) (.f64 (/.f64 (.f64 y y) (/.f64 #s(literal -1 binary64) (.f64 y y))) (/.f64 (.f64 y y) (/.f64 #s(literal -1 binary64) (.f64 y y)))))
(log.f64 #s(literal 2 binary64))
(log1p.f64 #s(literal 1 binary64))
(log1p.f64 (+.f64 x #s(literal 1 binary64)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))) y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 x x)))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 x x)))) y))))
(log1p.f64 (exp.f64 x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (fma.f64 (/.f64 (/.f64 (.f64 y y) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3/2 binary64))) #s(literal 1/2 binary64))))

Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

Calls

3 calls:

21.0ms	x
17.0ms	y
12.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

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

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes31.0ms (0.4%)

Memory

-14.2MiB live, 63.1MiB allocated

Counts

46 → 2

Calls

Call 1

Inputs
(*.f64 x (neg.f64 y))
(.f64 x (.f64 x #s(literal 1/8 binary64)))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(/.f64 x (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))
(.f64 x (/.f64 (neg.f64 (.f64 y y)) y))
(.f64 (.f64 y y) (/.f64 (neg.f64 x) y))
(/.f64 (.f64 (.f64 y y) (neg.f64 x)) y)
(.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y)))
(.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) y))
(.f64 (.f64 y y) (*.f64 (/.f64 #s(literal -1 binary64) y) x))
(/.f64 (*.f64 y (-.f64 #s(literal 0 binary64) y)) (/.f64 y x))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) x) y)
(.f64 x (.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)))
(.f64 y (.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) y)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) x) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 (/.f64 (/.f64 x y) y) (*.f64 y (-.f64 #s(literal 0 binary64) y))) y)
(/.f64 (.f64 (.f64 y (-.f64 #s(literal 0 binary64) (.f64 y y))) x) (.f64 y y))
(/.f64 (.f64 (.f64 y (/.f64 y (/.f64 #s(literal -1 binary64) y))) x) (*.f64 y y))
(.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 y y) (*.f64 (/.f64 #s(literal 1 binary64) y) y))) y))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 y (.f64 y y)))) (.f64 (/.f64 #s(literal -1 binary64) y) x))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (.f64 (.f64 y (-.f64 #s(literal 0 binary64) (.f64 y y))) x)))
(/.f64 (.f64 (.f64 x y) (.f64 x (-.f64 #s(literal 0 binary64) y))) (+.f64 #s(literal 0 binary64) (.f64 x y)))
(.f64 x (/.f64 (.f64 (/.f64 (.f64 y (.f64 y y)) (/.f64 y (/.f64 #s(literal -1 binary64) (.f64 y y)))) (.f64 y y)) y))
(/.f64 (.f64 (.f64 y (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))))) x) (*.f64 y y))
(.f64 x (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (neg.f64 (.f64 y (.f64 y y)))) (.f64 y (.f64 y (*.f64 y y)))) y))
(.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (-.f64 #s(literal 0 binary64) y)))) y))
(.f64 x (/.f64 (/.f64 (.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) y)) (.f64 y (.f64 y (.f64 y y)))) y))
(/.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x (-.f64 #s(literal 0 binary64) y)))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 #s(literal 0 binary64) (.f64 x y)))))
(.f64 x (/.f64 (/.f64 (.f64 (neg.f64 (.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))) y)) (/.f64 #s(literal 1 binary64) y)) (.f64 y (.f64 y (*.f64 y y)))) y))
(.f64 (.f64 y y) (.f64 (/.f64 (/.f64 y (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y (*.f64 y y))))) x))
(.f64 x (/.f64 (/.f64 (.f64 (neg.f64 (.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))) y)) (/.f64 #s(literal 1 binary64) y)) (.f64 y (.f64 y (/.f64 y (/.f64 #s(literal 1 binary64) y))))) y))
(/.f64 (.f64 (.f64 x (.f64 y (.f64 y y))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))))) (.f64 (/.f64 (.f64 y y) (/.f64 #s(literal -1 binary64) (.f64 y y))) (/.f64 (.f64 y y) (/.f64 #s(literal -1 binary64) (.f64 y y)))))
(log.f64 #s(literal 2 binary64))
(log1p.f64 #s(literal 1 binary64))
(log1p.f64 (+.f64 x #s(literal 1 binary64)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))) y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 x x)))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 x x)))) y))))
(log1p.f64 (exp.f64 x))

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

Calls

2 calls:

14.0ms	x
14.0ms	y

Results

Accuracy	Segments	Branch
99.2%	2	`x`
88.2%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes16.0ms (0.2%)

Memory

-8.1MiB live, 30.8MiB allocated

Counts

39 → 2

Calls

Call 1

Inputs
(*.f64 x (neg.f64 y))
(.f64 x (.f64 x #s(literal 1/8 binary64)))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(/.f64 x (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))
(.f64 x (/.f64 (neg.f64 (.f64 y y)) y))
(.f64 (.f64 y y) (/.f64 (neg.f64 x) y))
(/.f64 (.f64 (.f64 y y) (neg.f64 x)) y)
(.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y)))
(.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) y))
(.f64 (.f64 y y) (*.f64 (/.f64 #s(literal -1 binary64) y) x))
(/.f64 (*.f64 y (-.f64 #s(literal 0 binary64) y)) (/.f64 y x))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) x) y)
(.f64 x (.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)))
(.f64 y (.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) y)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) x) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 (/.f64 (/.f64 x y) y) (*.f64 y (-.f64 #s(literal 0 binary64) y))) y)
(/.f64 (.f64 (.f64 y (-.f64 #s(literal 0 binary64) (.f64 y y))) x) (.f64 y y))
(/.f64 (.f64 (.f64 y (/.f64 y (/.f64 #s(literal -1 binary64) y))) x) (*.f64 y y))
(.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 y y) (*.f64 (/.f64 #s(literal 1 binary64) y) y))) y))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 y (.f64 y y)))) (.f64 (/.f64 #s(literal -1 binary64) y) x))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (.f64 (.f64 y (-.f64 #s(literal 0 binary64) (.f64 y y))) x)))
(/.f64 (.f64 (.f64 x y) (.f64 x (-.f64 #s(literal 0 binary64) y))) (+.f64 #s(literal 0 binary64) (.f64 x y)))
(.f64 x (/.f64 (.f64 (/.f64 (.f64 y (.f64 y y)) (/.f64 y (/.f64 #s(literal -1 binary64) (.f64 y y)))) (.f64 y y)) y))
(/.f64 (.f64 (.f64 y (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))))) x) (*.f64 y y))
(.f64 x (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (neg.f64 (.f64 y (.f64 y y)))) (.f64 y (.f64 y (*.f64 y y)))) y))
(.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (-.f64 #s(literal 0 binary64) y)))) y))
(.f64 x (/.f64 (/.f64 (.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) y)) (.f64 y (.f64 y (.f64 y y)))) y))
(/.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x (-.f64 #s(literal 0 binary64) y)))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 #s(literal 0 binary64) (.f64 x y)))))
(.f64 x (/.f64 (/.f64 (.f64 (neg.f64 (.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))) y)) (/.f64 #s(literal 1 binary64) y)) (.f64 y (.f64 y (*.f64 y y)))) y))
(.f64 (.f64 y y) (.f64 (/.f64 (/.f64 y (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y (*.f64 y y))))) x))
(.f64 x (/.f64 (/.f64 (.f64 (neg.f64 (.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))) y)) (/.f64 #s(literal 1 binary64) y)) (.f64 y (.f64 y (/.f64 y (/.f64 #s(literal 1 binary64) y))))) y))
(/.f64 (.f64 (.f64 x (.f64 y (.f64 y y))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))))) (.f64 (/.f64 (.f64 y y) (/.f64 #s(literal -1 binary64) (.f64 y y))) (/.f64 (.f64 y y) (/.f64 #s(literal -1 binary64) (.f64 y y)))))
(log.f64 #s(literal 2 binary64))
(log1p.f64 #s(literal 1 binary64))
(log1p.f64 (+.f64 x #s(literal 1 binary64)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))

Outputs
(*.f64 x (neg.f64 y))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
99.1%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes40.0ms (0.5%)

Memory

-35.2MiB live, 52.0MiB allocated

Counts

38 → 2

Calls

Call 1

Inputs
(*.f64 x (neg.f64 y))
(.f64 x (.f64 x #s(literal 1/8 binary64)))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(/.f64 x (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))
(.f64 x (/.f64 (neg.f64 (.f64 y y)) y))
(.f64 (.f64 y y) (/.f64 (neg.f64 x) y))
(/.f64 (.f64 (.f64 y y) (neg.f64 x)) y)
(.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y)))
(.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) y))
(.f64 (.f64 y y) (*.f64 (/.f64 #s(literal -1 binary64) y) x))
(/.f64 (*.f64 y (-.f64 #s(literal 0 binary64) y)) (/.f64 y x))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) x) y)
(.f64 x (.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)))
(.f64 y (.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) y)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) x) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 (/.f64 (/.f64 x y) y) (*.f64 y (-.f64 #s(literal 0 binary64) y))) y)
(/.f64 (.f64 (.f64 y (-.f64 #s(literal 0 binary64) (.f64 y y))) x) (.f64 y y))
(/.f64 (.f64 (.f64 y (/.f64 y (/.f64 #s(literal -1 binary64) y))) x) (*.f64 y y))
(.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 y y) (*.f64 (/.f64 #s(literal 1 binary64) y) y))) y))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 y (.f64 y y)))) (.f64 (/.f64 #s(literal -1 binary64) y) x))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (.f64 (.f64 y (-.f64 #s(literal 0 binary64) (.f64 y y))) x)))
(/.f64 (.f64 (.f64 x y) (.f64 x (-.f64 #s(literal 0 binary64) y))) (+.f64 #s(literal 0 binary64) (.f64 x y)))
(.f64 x (/.f64 (.f64 (/.f64 (.f64 y (.f64 y y)) (/.f64 y (/.f64 #s(literal -1 binary64) (.f64 y y)))) (.f64 y y)) y))
(/.f64 (.f64 (.f64 y (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))))) x) (*.f64 y y))
(.f64 x (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (neg.f64 (.f64 y (.f64 y y)))) (.f64 y (.f64 y (*.f64 y y)))) y))
(.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (-.f64 #s(literal 0 binary64) y)))) y))
(.f64 x (/.f64 (/.f64 (.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) y)) (.f64 y (.f64 y (.f64 y y)))) y))
(/.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x (-.f64 #s(literal 0 binary64) y)))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 #s(literal 0 binary64) (.f64 x y)))))
(.f64 x (/.f64 (/.f64 (.f64 (neg.f64 (.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))) y)) (/.f64 #s(literal 1 binary64) y)) (.f64 y (.f64 y (*.f64 y y)))) y))
(.f64 (.f64 y y) (.f64 (/.f64 (/.f64 y (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y (*.f64 y y))))) x))
(.f64 x (/.f64 (/.f64 (.f64 (neg.f64 (.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))) y)) (/.f64 #s(literal 1 binary64) y)) (.f64 y (.f64 y (/.f64 y (/.f64 #s(literal 1 binary64) y))))) y))
(/.f64 (.f64 (.f64 x (.f64 y (.f64 y y))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))))) (.f64 (/.f64 (.f64 y y) (/.f64 #s(literal -1 binary64) (.f64 y y))) (/.f64 (.f64 y y) (/.f64 #s(literal -1 binary64) (.f64 y y)))))
(log.f64 #s(literal 2 binary64))
(log1p.f64 #s(literal 1 binary64))
(log1p.f64 (+.f64 x #s(literal 1 binary64)))

Outputs
(*.f64 x (neg.f64 y))
(log.f64 #s(literal 2 binary64))

Calls

2 calls:

26.0ms	y
11.0ms	x

Results

Accuracy	Segments	Branch
70.5%	3	`y`
84.1%	2	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes26.0ms (0.3%)

Memory

-3.7MiB live, 35.0MiB allocated

Accuracy

Total -34.9b remaining (-120.2%)

Threshold costs -34.9b (-120.2%)

Counts

35 → 1

Calls

Call 1

Inputs
(*.f64 x (neg.f64 y))
(.f64 x (.f64 x #s(literal 1/8 binary64)))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(/.f64 x (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))
(.f64 x (/.f64 (neg.f64 (.f64 y y)) y))
(.f64 (.f64 y y) (/.f64 (neg.f64 x) y))
(/.f64 (.f64 (.f64 y y) (neg.f64 x)) y)
(.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y)))
(.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) y))
(.f64 (.f64 y y) (*.f64 (/.f64 #s(literal -1 binary64) y) x))
(/.f64 (*.f64 y (-.f64 #s(literal 0 binary64) y)) (/.f64 y x))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) x) y)
(.f64 x (.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)))
(.f64 y (.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) y)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) x) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 (/.f64 (/.f64 x y) y) (*.f64 y (-.f64 #s(literal 0 binary64) y))) y)
(/.f64 (.f64 (.f64 y (-.f64 #s(literal 0 binary64) (.f64 y y))) x) (.f64 y y))
(/.f64 (.f64 (.f64 y (/.f64 y (/.f64 #s(literal -1 binary64) y))) x) (*.f64 y y))
(.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 y y) (*.f64 (/.f64 #s(literal 1 binary64) y) y))) y))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 y (.f64 y y)))) (.f64 (/.f64 #s(literal -1 binary64) y) x))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (.f64 (.f64 y (-.f64 #s(literal 0 binary64) (.f64 y y))) x)))
(/.f64 (.f64 (.f64 x y) (.f64 x (-.f64 #s(literal 0 binary64) y))) (+.f64 #s(literal 0 binary64) (.f64 x y)))
(.f64 x (/.f64 (.f64 (/.f64 (.f64 y (.f64 y y)) (/.f64 y (/.f64 #s(literal -1 binary64) (.f64 y y)))) (.f64 y y)) y))
(/.f64 (.f64 (.f64 y (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))))) x) (*.f64 y y))
(.f64 x (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (neg.f64 (.f64 y (.f64 y y)))) (.f64 y (.f64 y (*.f64 y y)))) y))
(.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (-.f64 #s(literal 0 binary64) y)))) y))
(.f64 x (/.f64 (/.f64 (.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) y)) (.f64 y (.f64 y (.f64 y y)))) y))
(/.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x (-.f64 #s(literal 0 binary64) y)))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 #s(literal 0 binary64) (.f64 x y)))))
(.f64 x (/.f64 (/.f64 (.f64 (neg.f64 (.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))) y)) (/.f64 #s(literal 1 binary64) y)) (.f64 y (.f64 y (*.f64 y y)))) y))
(.f64 (.f64 y y) (.f64 (/.f64 (/.f64 y (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y (*.f64 y y))))) x))
(.f64 x (/.f64 (/.f64 (.f64 (neg.f64 (.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))) y)) (/.f64 #s(literal 1 binary64) y)) (.f64 y (.f64 y (/.f64 y (/.f64 #s(literal 1 binary64) y))))) y))
(/.f64 (.f64 (.f64 x (.f64 y (.f64 y y))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))))) (.f64 (/.f64 (.f64 y y) (/.f64 #s(literal -1 binary64) (.f64 y y))) (/.f64 (.f64 y y) (/.f64 #s(literal -1 binary64) (.f64 y y)))))

Outputs
(*.f64 x (neg.f64 y))

Calls

2 calls:

14.0ms	y
10.0ms	x

Results

Accuracy	Segments	Branch
54.7%	1	`y`
54.7%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch16.0ms (0.2%)

Memory

21.7MiB live, 21.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	-1.808857844243215	-2.1042295820895374e-11

Samples

9.0ms

160×

valid

Compiler

Compiled 194 to 151 computations (22.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-exp: 2.0ms (37.6% of total)

ival-log1p: 2.0ms (37.6% of total)

ival-sub: 1.0ms (18.8% of total)

ival-mult: 1.0ms (18.8% of total)

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

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

bsearch20.0ms (0.3%)

Memory

-26.2MiB live, 13.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	-18.24984607323759	-1.808857844243215

Samples

5.0ms

96×

valid

Compiler

Compiled 110 to 83 computations (24.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-exp: 1.0ms (33.1% of total)

ival-log1p: 1.0ms (33.1% of total)

ival-mult: 1.0ms (33.1% of total)

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

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

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

bsearch14.0ms (0.2%)

Memory

27.9MiB live, 27.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-1.1848433111566239e-80	-9.281943615204183e-87

Samples

8.0ms

144×

valid

Compiler

Compiled 122 to 101 computations (17.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-log1p: 2.0ms (43.7% of total)

ival-sub: 1.0ms (21.9% of total)

ival-exp: 1.0ms (21.9% of total)

ival-mult: 1.0ms (21.9% of total)

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

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

simplify9.0ms (0.1%)

Memory

-19.7MiB live, 18.9MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative_binary64`
12×	`*-commutative_binary64`
12×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	51
1	42	51
2	52	51
3	57	51
4	59	51

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x #s(literal -3152519739159347/2251799813685248 binary64)) (.f64 x (neg.f64 y)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))))
(if (<=.f64 x #s(literal -18 binary64)) (.f64 x (neg.f64 y)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y)))
(if (<=.f64 x #s(literal -3588458220347129/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) (*.f64 x (neg.f64 y)) (log.f64 #s(literal 2 binary64)))
(*.f64 x (neg.f64 y))

Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x #s(literal -3152519739159347/2251799813685248 binary64)) (.f64 x (neg.f64 y)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))))
(if (<=.f64 x #s(literal -3152519739159347/2251799813685248 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))))
(if (<=.f64 x #s(literal -18 binary64)) (.f64 x (neg.f64 y)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y)))
(if (<=.f64 x #s(literal -18 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x y)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y)))
(if (<=.f64 x #s(literal -3588458220347129/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) (*.f64 x (neg.f64 y)) (log.f64 #s(literal 2 binary64)))
(if (<=.f64 x #s(literal -3588458220347129/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x y)) (log.f64 #s(literal 2 binary64)))
(*.f64 x (neg.f64 y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))

soundness714.0ms (9.2%)

Memory

3.8MiB live, 435.5MiB allocated

Rules

11 474×	`accelerator-lowering-fma.f32`
11 474×	`accelerator-lowering-fma.f64`
4 678×	`accelerator-lowering-fma.f32`
4 678×	`accelerator-lowering-fma.f64`
4 436×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	472
1	180	472
2	389	472
3	1353	472
4	4014	442
5	6856	442
0	8132	372
0	21	61
1	122	61
2	1071	61
0	8716	53
0	8	23
1	42	23
2	306	23
3	2720	23
0	9056	19

Stop Event

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

Compiler

Compiled 140 to 84 computations (40% saved)

preprocess92.0ms (1.2%)

Memory: 0.2MiB live, 130.0MiB allocated
Compiler: Compiled 192 to 100 computations (47.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	24	60
1	61	58
2	117	58
3	237	58
4	327	58
5	461	58
6	525	58
7	561	58
8	564	58
0	8	9
1	17	9
2	28	9
3	40	9
4	55	9
5	79	9
6	118	9
7	154	9
8	198	9
9	224	9
10	248	9
11	257	9
0	257	7

Iter	Nodes	Cost
0	8	26
1	17	26
2	28	26
3	40	26
4	55	26
5	79	26
6	118	26
7	154	26
8	198	26
9	224	26
10	248	26
11	257	26
0	257	22

Iter	Nodes	Cost
0	24	60
1	61	58
2	117	58
3	237	58
4	327	58
5	461	58
6	525	58
7	561	58
8	564	58
0	8	9
1	17	9
2	28	9
3	40	9
4	55	9
5	79	9
6	118	9
7	154	9
8	198	9
9	224	9
10	248	9
11	257	9
0	257	7

Iter	Nodes	Cost
0	8	26
1	17	26
2	28	26
3	40	26
4	55	26
5	79	26
6	118	26
7	154	26
8	198	26
9	224	26
10	248	26
11	257	26
0	257	22

analyze91.0ms (1.2%)

sample1.1s (14.8%)

preprocess32.0ms (0.4%)

explain112.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify23.0ms (0.3%)

localize26.0ms (0.3%)

series60.0ms (0.8%)

rewrite377.0ms (4.9%)

simplify307.0ms (4%)

eval85.0ms (1.1%)

prune70.0ms (0.9%)

simplify107.0ms (1.4%)

localize62.0ms (0.8%)

series11.0ms (0.1%)

rewrite504.0ms (6.5%)

simplify364.0ms (4.7%)

eval89.0ms (1.2%)

prune88.0ms (1.1%)

simplify459.0ms (5.9%)

localize63.0ms (0.8%)

series11.0ms (0.1%)

rewrite623.0ms (8%)

simplify261.0ms (3.4%)

eval393.0ms (5.1%)

prune319.0ms (4.1%)

simplify280.0ms (3.6%)

localize117.0ms (1.5%)

series9.0ms (0.1%)

rewrite94.0ms (1.2%)

simplify255.0ms (3.3%)

eval163.0ms (2.1%)

prune120.0ms (1.6%)

regimes56.0ms (0.7%)

regimes31.0ms (0.4%)

regimes16.0ms (0.2%)

regimes40.0ms (0.5%)

regimes26.0ms (0.3%)

bsearch16.0ms (0.2%)

bsearch20.0ms (0.3%)

bsearch14.0ms (0.2%)

simplify9.0ms (0.1%)

soundness714.0ms (9.2%)

preprocess92.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	24	60
1	61	58
2	117	58
3	237	58
4	327	58
5	461	58
6	525	58
7	561	58
8	564	58
0	8	9
1	17	9
2	28	9
3	40	9
4	55	9
5	79	9
6	118	9
7	154	9
8	198	9
9	224	9
10	248	9
11	257	9
0	257	7

Iter	Nodes	Cost
0	8	26
1	17	26
2	28	26
3	40	26
4	55	26
5	79	26
6	118	26
7	154	26
8	198	26
9	224	26
10	248	26
11	257	26
0	257	22