Metrics for expq3 (problem 3.4.2)

analyze157.0ms (0.6%)

Memory

5.5MiB live, 274.0MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25.4%	74.6%	0%	0%	0%	0
0%	0%	25.4%	74.6%	0%	0%	0%	1
0%	0%	25.4%	74.6%	0%	0%	0%	2
0%	0%	25.4%	74.6%	0%	0%	0%	3
0%	0%	22.2%	74.6%	0%	3.2%	0%	4
0%	0%	20.6%	74.6%	0%	4.8%	0%	5
0%	0%	18.3%	74.6%	0%	7.1%	0%	6
0%	0%	10.7%	74.6%	0%	14.7%	0%	7
0%	0%	9.3%	74.6%	0%	16.1%	0%	8
0%	0%	8.2%	74.6%	0%	17.2%	0%	9
0%	0%	5.7%	74.6%	0%	19.7%	0%	10
0%	0%	5%	74.6%	0%	20.4%	0%	11
0%	0%	4.4%	74.6%	0%	21%	0%	12

Compiler

Compiled 52 to 27 computations (48.1% saved)

sample19.6s (76%)

Memory

127.5MiB live, 21 395.0MiB allocated

Samples

12.8s	63 125×	0	invalid
1.5s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 11.4s

ival-mult: 3.8s (33% of total)

const: 1.6s (14.2% of total)

ival-expm1: 1.6s (13.8% of total)

ival-fabs: 1.1s (9.3% of total)

ival-<=: 963.0ms (8.4% of total)

ival-add: 853.0ms (7.5% of total)

ival-fmin: 688.0ms (6% of total)

ival-div: 604.0ms (5.3% of total)

ival-and: 205.0ms (1.8% of total)

exact: 50.0ms (0.4% of total)

ival-assert: 29.0ms (0.3% of total)

Bogosity

preprocess459.0ms (1.8%)

Memory

12.2MiB live, 325.8MiB allocated

Algorithm

2×	egg-herbie

Rules

4 832×	`accelerator-lowering-fma.f32`
4 832×	`accelerator-lowering-fma.f64`
2 736×	`-lowering-.f32`
2 736×	`-lowering-.f64`
1 332×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	257
1	265	253
2	724	251
3	2180	248
4	7098	248
0	17	24
1	43	24
2	96	24
3	161	24
4	312	24
5	641	24
6	1245	24
7	3450	24
8	6179	24
9	7527	24
10	7834	24
11	7910	24
12	7940	24
0	8071	18

Stop Event

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

Calls

Call 1

Inputs
(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))

Outputs

(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))

(/.f64 (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b)))) (*.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps b))))

Call 2

Inputs
(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* (+ (neg a) b) eps)) 1)) (* (- (exp (* (neg a) eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* (+ a (neg b)) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* (neg b) eps)) 1)))
(/ (* (neg eps) (- (exp (* (+ a b) (neg eps))) 1)) (* (- (exp (* a (neg eps))) 1) (- (exp (* b (neg eps))) 1)))
(neg (/ (* eps (- (exp (* (+ (neg a) b) eps)) 1)) (* (- (exp (* (neg a) eps)) 1) (- (exp (* b eps)) 1))))
(neg (/ (* eps (- (exp (* (+ a (neg b)) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* (neg b) eps)) 1))))
(neg (/ (* (neg eps) (- (exp (* (+ a b) (neg eps))) 1)) (* (- (exp (* a (neg eps))) 1) (- (exp (* b (neg eps))) 1))))
(/ (* eps (- (exp (* (+ b a) eps)) 1)) (* (- (exp (* b eps)) 1) (- (exp (* a eps)) 1)))
(/ (* a (- (exp (* (+ eps b) a)) 1)) (* (- (exp (* eps a)) 1) (- (exp (* b a)) 1)))
(/ (* b (- (exp (* (+ a eps) b)) 1)) (* (- (exp (* a b)) 1) (- (exp (* eps b)) 1)))

Outputs
(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(* (+ (pow (exp eps) (+ a b)) -1) (/ (/ eps (+ (pow (exp eps) b) -1)) (+ (pow (exp a) eps) -1)))
(/ (* eps (- (exp (* (+ (neg a) b) eps)) 1)) (* (- (exp (* (neg a) eps)) 1) (- (exp (* b eps)) 1)))
(* (+ (pow (exp eps) (- b a)) -1) (/ (/ eps (+ (pow (exp eps) b) -1)) (+ (pow (exp a) (neg eps)) -1)))
(/ (* eps (- (exp (* (+ a (neg b)) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* (neg b) eps)) 1)))
(* eps (/ (+ (pow (exp eps) (- a b)) -1) (* (+ (pow (exp a) eps) -1) (+ (pow (exp eps) (neg b)) -1))))
(/ (* (neg eps) (- (exp (* (+ a b) (neg eps))) 1)) (* (- (exp (* a (neg eps))) 1) (- (exp (* b (neg eps))) 1)))
(/ (- eps (/ eps (pow (exp eps) (+ a b)))) (* (+ (pow (exp a) (neg eps)) -1) (+ (pow (exp eps) (neg b)) -1)))
(neg (/ (* eps (- (exp (* (+ (neg a) b) eps)) 1)) (* (- (exp (* (neg a) eps)) 1) (- (exp (* b eps)) 1))))
(* (+ (pow (exp eps) (- b a)) -1) (/ (/ eps (+ (pow (exp eps) b) -1)) (- 1 (pow (exp a) (neg eps)))))
(neg (/ (* eps (- (exp (* (+ a (neg b)) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* (neg b) eps)) 1))))
(* (+ (pow (exp eps) (- a b)) -1) (/ (/ eps (- 1 (pow (exp a) eps))) (+ (pow (exp eps) (neg b)) -1)))
(neg (/ (* (neg eps) (- (exp (* (+ a b) (neg eps))) 1)) (* (- (exp (* a (neg eps))) 1) (- (exp (* b (neg eps))) 1))))
(/ (- eps (/ eps (pow (exp eps) (+ a b)))) (* (+ (pow (exp a) (neg eps)) -1) (- 1 (pow (exp eps) (neg b)))))
(/ (* eps (- (exp (* (+ b a) eps)) 1)) (* (- (exp (* b eps)) 1) (- (exp (* a eps)) 1)))
(* (+ (pow (exp eps) (+ a b)) -1) (/ (/ eps (+ (pow (exp eps) b) -1)) (+ (pow (exp a) eps) -1)))
(/ (* a (- (exp (* (+ eps b) a)) 1)) (* (- (exp (* eps a)) 1) (- (exp (* b a)) 1)))
(/ (- (* a (pow (exp a) (+ eps b))) a) (* (+ (pow (exp a) eps) -1) (+ (pow (exp a) b) -1)))
(/ (* b (- (exp (* (+ a eps) b)) 1)) (* (- (exp (* a b)) 1) (- (exp (* eps b)) 1)))
(/ (- (* b (pow (exp b) (+ eps a))) b) (* (+ (pow (exp eps) b) -1) (+ (pow (exp a) b) -1)))

Symmetry

(sort a b)

explain224.0ms (0.9%)

Memory

-10.4MiB live, 464.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
240	0	-	1	(1.689300134393349e-88 4.704291617875371e-23 4.46540031253421e-101)	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`
139	2	(2.7405045134635774e-291 1.525425988166136e-31 6.532553222549717e-293)	0	-	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`
110	2	(2.7405045134635774e-291 1.525425988166136e-31 6.532553222549717e-293)	0	-	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`
96	0	-	0	-	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`
0	0	-	0	-	`(+.f64 a b)`
0	0	-	0	-	`(*.f64 b eps)`
0	0	-	0	-	`(exp.f64 (*.f64 a eps))`
0	0	-	0	-	`a`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(*.f64 a eps)`
0	0	-	0	-	`(exp.f64 (*.f64 (+.f64 a b) eps))`
0	0	-	0	-	`eps`
0	0	-	0	-	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`
0	0	-	0	-	`(.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))`
0	0	-	0	-	`(*.f64 (+.f64 a b) eps)`
0	0	-	0	-	`(exp.f64 (*.f64 b eps))`
0	0	-	0	-	`b`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`	u/u	215	0
↳	`(.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))`	underflow	215
↳	`(*.f64 (+.f64 a b) eps)`	underflow	115
↳	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`	underflow	115
↳	`(*.f64 b eps)`	underflow	144
↳	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	underflow	160
↳	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	underflow	144
↳	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`	underflow	239
↳	`(*.f64 a eps)`	underflow	160
`-.f64`	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`	cancellation	141	0
`-.f64`	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	cancellation	112	0
`-.f64`	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	cancellation	96	0
`/.f64`	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`	n/u	24	0
↳	`(*.f64 b eps)`	underflow	144
↳	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	underflow	160
↳	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	underflow	144
↳	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`	underflow	239
↳	`(*.f64 a eps)`	underflow	160

Confusion

	Predicted +	Predicted -
+	256	0
-	0	0

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	256	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
1	115
3	91
4	50

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

66.0ms

512×

valid

Compiler

Compiled 256 to 72 computations (71.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 15.0ms (34.5% of total)

ival-exp: 11.0ms (25.3% of total)

ival-expm1: 8.0ms (18.4% of total)

ival-add: 6.0ms (13.8% of total)

ival-div: 3.0ms (6.9% 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: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

2.3MiB live, 2.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	0.0%	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))

Status

Accuracy

Program

▶

0.0%

(/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))

Compiler

Compiled 27 to 17 computations (37% saved)

simplify252.0ms (1%)

Memory

13.5MiB live, 208.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
✓	cost-diff	192	(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))
✓	cost-diff	192	(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))
✓	cost-diff	192	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))

Rules

4 832×	`accelerator-lowering-fma.f32`
4 832×	`accelerator-lowering-fma.f64`
2 736×	`-lowering-.f32`
2 736×	`-lowering-.f64`
1 132×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	99
1	43	99
2	96	99
3	161	99
4	312	99
5	641	99
6	1245	99
7	3450	99
8	6179	99
9	7527	99
10	7834	99
11	7910	99
12	7940	99
0	8071	81

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(* eps (- (exp (* (+ a b) eps)) 1))
eps
(- (exp (* (+ a b) eps)) 1)
(exp (* (+ a b) eps))
(* (+ a b) eps)
(+ a b)
a
b
1
(* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))
(- (exp (* a eps)) 1)
(exp (* a eps))
(* a eps)
(- (exp (* b eps)) 1)
(exp (* b eps))
(* b eps)

Outputs
(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))
(* eps (- (exp (* (+ a b) eps)) 1))
(.f64 eps (expm1.f64 (.f64 eps (+.f64 a b))))
eps
(- (exp (* (+ a b) eps)) 1)
(expm1.f64 (*.f64 eps (+.f64 a b)))
(exp (* (+ a b) eps))
(exp.f64 (*.f64 eps (+.f64 a b)))
(* (+ a b) eps)
(*.f64 eps (+.f64 a b))
(+ a b)
(+.f64 a b)
a
b
1
#s(literal 1 binary64)
(* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))
(.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 eps a))
(exp (* a eps))
(exp.f64 (*.f64 eps a))
(* a eps)
(*.f64 eps a)
(- (exp (* b eps)) 1)
(expm1.f64 (*.f64 eps b))
(exp (* b eps))
(exp.f64 (*.f64 eps b))
(* b eps)
(*.f64 eps b)

localize55.0ms (0.2%)

Memory

-25.0MiB live, 92.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	66.9%	(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))
✓	accuracy	61.5%	(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))
✓	accuracy	51.7%	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))
✓	accuracy	10.1%	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))

Samples

34.0ms

256×

valid

Compiler

Compiled 101 to 19 computations (81.2% saved)

Precisions

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

ival-mult: 7.0ms (33.1% of total)

ival-exp: 5.0ms (23.6% of total)

ival-expm1: 5.0ms (23.6% of total)

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

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

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

exact: 0.0ms (0% of total)

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

series22.0ms (0.1%)

Memory

1.3MiB live, 39.4MiB allocated

Counts

4 → 120

Calls

Call 1

Inputs
#<alt (- (exp (* (+ a b) eps)) 1)>
#<alt (- (exp (* a eps)) 1)>
#<alt (- (exp (* b eps)) 1)>
#<alt (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>

Outputs
#<alt (- (exp (* b eps)) 1)>
#<alt (- (+ (exp (* b eps)) (* a (* eps (exp (* b eps))))) 1)>
#<alt (- (+ (exp (* b eps)) (* a (+ (* 1/2 (* a (* (pow eps 2) (exp (* b eps))))) (* eps (exp (* b eps)))))) 1)>
#<alt (- (+ (exp (* b eps)) (* a (+ (* a (+ (* 1/6 (* a (* (pow eps 3) (exp (* b eps))))) (* 1/2 (* (pow eps 2) (exp (* b eps)))))) (* eps (exp (* b eps)))))) 1)>
#<alt (- (exp (* eps (+ a b))) 1)>
#<alt (- (exp (* eps (+ a b))) 1)>
#<alt (- (exp (* eps (+ a b))) 1)>
#<alt (- (exp (* eps (+ a b))) 1)>
#<alt (- (exp (* eps (- b (* -1 a)))) 1)>
#<alt (- (exp (* eps (- b (* -1 a)))) 1)>
#<alt (- (exp (* eps (- b (* -1 a)))) 1)>
#<alt (- (exp (* eps (- b (* -1 a)))) 1)>
#<alt (- (exp (* a eps)) 1)>
#<alt (- (+ (exp (* a eps)) (* b (* eps (exp (* a eps))))) 1)>
#<alt (- (+ (exp (* a eps)) (* b (+ (* 1/2 (* b (* (pow eps 2) (exp (* a eps))))) (* eps (exp (* a eps)))))) 1)>
#<alt (- (+ (exp (* a eps)) (* b (+ (* b (+ (* 1/6 (* b (* (pow eps 3) (exp (* a eps))))) (* 1/2 (* (pow eps 2) (exp (* a eps)))))) (* eps (exp (* a eps)))))) 1)>
#<alt (- (exp (* eps (+ a b))) 1)>
#<alt (- (exp (* eps (+ a b))) 1)>
#<alt (- (exp (* eps (+ a b))) 1)>
#<alt (- (exp (* eps (+ a b))) 1)>
#<alt (- (exp (* eps (- a (* -1 b)))) 1)>
#<alt (- (exp (* eps (- a (* -1 b)))) 1)>
#<alt (- (exp (* eps (- a (* -1 b)))) 1)>
#<alt (- (exp (* eps (- a (* -1 b)))) 1)>
#<alt (* eps (+ a b))>
#<alt (* eps (+ a (+ b (* 1/2 (* eps (pow (+ a b) 2))))))>
#<alt (* eps (+ a (+ b (* eps (+ (* 1/6 (* eps (pow (+ a b) 3))) (* 1/2 (pow (+ a b) 2)))))))>
#<alt (* eps (+ a (+ b (* eps (+ (* 1/2 (pow (+ a b) 2)) (* eps (+ (* 1/24 (* eps (pow (+ a b) 4))) (* 1/6 (pow (+ a b) 3)))))))))>
#<alt (- (exp (* eps (+ a b))) 1)>
#<alt (- (exp (* eps (+ a b))) 1)>
#<alt (- (exp (* eps (+ a b))) 1)>
#<alt (- (exp (* eps (+ a b))) 1)>
#<alt (- (exp (* eps (+ a b))) 1)>
#<alt (- (exp (* eps (+ a b))) 1)>
#<alt (- (exp (* eps (+ a b))) 1)>
#<alt (- (exp (* eps (+ a b))) 1)>
#<alt (* a eps)>
#<alt (* a (+ eps (* 1/2 (* a (pow eps 2)))))>
#<alt (* a (+ eps (* a (+ (* 1/6 (* a (pow eps 3))) (* 1/2 (pow eps 2))))))>
#<alt (* a (+ eps (* a (+ (* 1/2 (pow eps 2)) (* a (+ (* 1/24 (* a (pow eps 4))) (* 1/6 (pow eps 3))))))))>
#<alt (- (exp (* a eps)) 1)>
#<alt (- (exp (* a eps)) 1)>
#<alt (- (exp (* a eps)) 1)>
#<alt (- (exp (* a eps)) 1)>
#<alt (- (exp (* a eps)) 1)>
#<alt (- (exp (* a eps)) 1)>
#<alt (- (exp (* a eps)) 1)>
#<alt (- (exp (* a eps)) 1)>
#<alt (* a eps)>
#<alt (* eps (+ a (* 1/2 (* (pow a 2) eps))))>
#<alt (* eps (+ a (* eps (+ (* 1/6 (* (pow a 3) eps)) (* 1/2 (pow a 2))))))>
#<alt (* eps (+ a (* eps (+ (* 1/2 (pow a 2)) (* eps (+ (* 1/24 (* (pow a 4) eps)) (* 1/6 (pow a 3))))))))>
#<alt (- (exp (* a eps)) 1)>
#<alt (- (exp (* a eps)) 1)>
#<alt (- (exp (* a eps)) 1)>
#<alt (- (exp (* a eps)) 1)>
#<alt (- (exp (* a eps)) 1)>
#<alt (- (exp (* a eps)) 1)>
#<alt (- (exp (* a eps)) 1)>
#<alt (- (exp (* a eps)) 1)>
#<alt (* b eps)>
#<alt (* b (+ eps (* 1/2 (* b (pow eps 2)))))>
#<alt (* b (+ eps (* b (+ (* 1/6 (* b (pow eps 3))) (* 1/2 (pow eps 2))))))>
#<alt (* b (+ eps (* b (+ (* 1/2 (pow eps 2)) (* b (+ (* 1/24 (* b (pow eps 4))) (* 1/6 (pow eps 3))))))))>
#<alt (- (exp (* b eps)) 1)>
#<alt (- (exp (* b eps)) 1)>
#<alt (- (exp (* b eps)) 1)>
#<alt (- (exp (* b eps)) 1)>
#<alt (- (exp (* b eps)) 1)>
#<alt (- (exp (* b eps)) 1)>
#<alt (- (exp (* b eps)) 1)>
#<alt (- (exp (* b eps)) 1)>
#<alt (* b eps)>
#<alt (* eps (+ b (* 1/2 (* (pow b 2) eps))))>
#<alt (* eps (+ b (* eps (+ (* 1/6 (* (pow b 3) eps)) (* 1/2 (pow b 2))))))>
#<alt (* eps (+ b (* eps (+ (* 1/2 (pow b 2)) (* eps (+ (* 1/24 (* (pow b 4) eps)) (* 1/6 (pow b 3))))))))>
#<alt (- (exp (* b eps)) 1)>
#<alt (- (exp (* b eps)) 1)>
#<alt (- (exp (* b eps)) 1)>
#<alt (- (exp (* b eps)) 1)>
#<alt (- (exp (* b eps)) 1)>
#<alt (- (exp (* b eps)) 1)>
#<alt (- (exp (* b eps)) 1)>
#<alt (- (exp (* b eps)) 1)>
#<alt (/ (+ a b) (* a b))>
#<alt (+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))>
#<alt (+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))>
#<alt (+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (+ (* 1/6 (/ (pow (+ a b) 3) (* a b))) (* eps (- (* 1/24 (/ (pow (+ a b) 4) (* a b))) (+ (/ (* (+ a b) (+ (* 1/24 (* a (pow b 4))) (+ (* 1/24 (* (pow a 4) b)) (+ (* 1/12 (* (pow a 2) (pow b 3))) (* 1/12 (* (pow a 3) (pow b 2))))))) (* (pow a 2) (pow b 2))) (+ (/ (* (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2))))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b))))) (* a b))))))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ 1 a)>
#<alt (/ (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) a)>
#<alt (/ (+ 1 (* a (- (+ (* a (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a)>
#<alt (/ (+ 1 (* a (- (+ (* a (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (* a (- (* 1/6 (/ (* (pow eps 3) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a)>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ 1 b)>
#<alt (/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b)>
#<alt (/ (+ 1 (* b (- (+ (* b (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b)>
#<alt (/ (+ 1 (* b (- (+ (* b (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (* b (- (* 1/6 (/ (* (pow eps 3) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b)>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>

Calls

30 calls:

Time	Variable		Point	Expression
3.0ms	b	@	inf	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
3.0ms	eps	@	0	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
2.0ms	a	@	0	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
2.0ms	eps	@	-inf	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
1.0ms	a	@	inf	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))

rewrite343.0ms (1.3%)

Memory

20.5MiB live, 555.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 838×	`-lowering-.f32`
5 838×	`-lowering-.f64`
4 440×	`/-lowering-/.f32`
4 440×	`/-lowering-/.f64`
3 902×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	44
1	95	44
2	753	44
0	8473	32

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 364

Calls

Call 1

Inputs
(- (exp (* (+ a b) eps)) 1)
(- (exp (* a eps)) 1)
(- (exp (* b eps)) 1)
(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))

Outputs
(+.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (exp.f64 (*.f64 (+.f64 a b) eps)))
(+.f64 (/.f64 (exp.f64 (.f64 (.f64 (+.f64 a b) eps) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (+.f64 a b) eps)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (+.f64 a b) (+.f64 eps eps)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (+.f64 a b) eps)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (+.f64 a b) (+.f64 eps eps))))))))
(+.f64 (/.f64 (exp.f64 (.f64 (+.f64 a b) (+.f64 eps eps))) (+.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))))
(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))
(-.f64 (/.f64 (exp.f64 (.f64 (.f64 (+.f64 a b) eps) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (+.f64 a b) eps)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (+.f64 a b) (+.f64 eps eps)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (+.f64 a b) eps)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (+.f64 a b) (+.f64 eps eps)))))))
(-.f64 (/.f64 (exp.f64 (.f64 (+.f64 a b) (+.f64 eps eps))) (+.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))))
(-.f64 (/.f64 (exp.f64 (.f64 (.f64 (+.f64 a b) eps) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (+.f64 a b) (+.f64 eps eps))) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (+.f64 a b) (+.f64 eps eps))) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal -1 binary64))))))
(fma.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (.f64 a eps)) (exp.f64 (.f64 b eps)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (.f64 b eps)) (exp.f64 (.f64 a eps)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (.f64 (.f64 (+.f64 a b) eps) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (+.f64 a b) eps)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (+.f64 a b) (+.f64 eps eps)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (+.f64 a b) eps)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (+.f64 a b) (+.f64 eps eps))))))))
(fma.f64 (exp.f64 (.f64 (+.f64 a b) (+.f64 eps eps))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))))
(fma.f64 (exp.f64 (.f64 (+.f64 a b) (.f64 eps #s(literal 1/2 binary64)))) (exp.f64 (.f64 (+.f64 a b) (.f64 eps #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(fma.f64 (exp.f64 (.f64 (+.f64 a b) (.f64 eps #s(literal 1/2 binary64)))) (.f64 (exp.f64 (.f64 (+.f64 a b) (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 (exp.f64 (.f64 (+.f64 a b) eps)) (+.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (/.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))))
(fma.f64 (pow.f64 (exp.f64 eps) (/.f64 (+.f64 a b) #s(literal 2 binary64))) (pow.f64 (exp.f64 eps) (/.f64 (+.f64 a b) #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (exp.f64 (.f64 (+.f64 a b) (.f64 eps #s(literal 1/2 binary64))))) (exp.f64 (.f64 (+.f64 a b) (*.f64 eps #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(expm1.f64 (*.f64 (+.f64 a b) eps))
(expm1.f64 (*.f64 (log.f64 (exp.f64 eps)) (+.f64 a b)))
(neg.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 a b) eps))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 a b) eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 a b) eps))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (.f64 (+.f64 a b) (+.f64 eps eps))) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal -1 binary64)))) (expm1.f64 (.f64 (*.f64 (+.f64 a b) eps) #s(literal 3 binary64)))))
(/.f64 (expm1.f64 (.f64 (.f64 (+.f64 a b) eps) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (+.f64 a b) eps)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (+.f64 a b) (+.f64 eps eps))))))
(/.f64 (expm1.f64 (.f64 (.f64 (+.f64 a b) eps) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (+.f64 a b) (+.f64 eps eps))) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 a b) eps)))))
(/.f64 (expm1.f64 (.f64 (+.f64 a b) (+.f64 eps eps))) (+.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 (+.f64 a b) eps) #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (.f64 (+.f64 a b) eps)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (+.f64 a b) (+.f64 eps eps)))))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 (+.f64 a b) eps) #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (.f64 (+.f64 a b) (+.f64 eps eps))) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (+.f64 a b) (+.f64 eps eps)))) (neg.f64 (+.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (+.f64 a b) (+.f64 eps eps)))) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 (+.f64 a b) eps))))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 (.f64 (+.f64 a b) eps) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (+.f64 a b) eps)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (+.f64 a b) (+.f64 eps eps)))))) (.f64 (+.f64 (exp.f64 (.f64 (+.f64 a b) eps)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (+.f64 a b) (+.f64 eps eps))))) #s(literal 1 binary64))) (.f64 (+.f64 (exp.f64 (.f64 (+.f64 a b) eps)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (+.f64 a b) (+.f64 eps eps))))) (+.f64 (exp.f64 (.f64 (+.f64 a b) eps)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 a b) (+.f64 eps eps)))))))
(/.f64 (-.f64 (+.f64 (exp.f64 (.f64 (.f64 (+.f64 a b) eps) #s(literal 3 binary64))) (exp.f64 (.f64 (+.f64 a b) (+.f64 eps eps)))) (+.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (pow.f64 (+.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 (.f64 (+.f64 a b) eps) #s(literal 3 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (exp.f64 (.f64 (.f64 (+.f64 a b) (+.f64 eps eps)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 (+.f64 a b) eps) #s(literal 3 binary64))))) (+.f64 (exp.f64 (.f64 (+.f64 a b) eps)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 a b) (+.f64 eps eps)))))))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 (+.f64 a b) (+.f64 eps eps)) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (exp.f64 (.f64 (.f64 (+.f64 a b) eps) #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (exp.f64 (.f64 (+.f64 a b) eps)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (+.f64 a b) (+.f64 eps eps)))))))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 (+.f64 a b) (+.f64 eps eps)) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (exp.f64 (fma.f64 (+.f64 a b) (+.f64 eps eps) (.f64 (+.f64 a b) (+.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (+.f64 a b) (+.f64 eps eps))))) (+.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))))
(/.f64 (.f64 (expm1.f64 (fma.f64 (+.f64 a b) (+.f64 eps eps) (.f64 (+.f64 a b) (+.f64 eps eps)))) #s(literal 1 binary64)) (.f64 (+.f64 (exp.f64 (.f64 (+.f64 a b) (+.f64 eps eps))) #s(literal 1 binary64)) (+.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))))
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(.f64 (/.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 b eps)))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps)))) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (neg.f64 eps)) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 b eps)))))
(.f64 (expm1.f64 (.f64 (+.f64 a b) (+.f64 eps eps))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (/.f64 eps (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps))))))
(.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps))) (expm1.f64 (.f64 a eps))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 b eps))))
(.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))) eps)
(.f64 (neg.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps))) (expm1.f64 (.f64 a eps)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (*.f64 b eps)))))
(.f64 (neg.f64 eps) (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (/.f64 #s(literal -1 binary64) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 b eps))))))
(.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a eps))))
(.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a eps))) (/.f64 eps (expm1.f64 (.f64 b eps))))
(.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 b eps))) (/.f64 (.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps))) (expm1.f64 (*.f64 a eps))))
(.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 a eps))) (/.f64 (.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps))) (expm1.f64 (*.f64 b eps))))
(.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 a eps))) (pow.f64 (/.f64 (expm1.f64 (.f64 b eps)) (.f64 eps (expm1.f64 (*.f64 (+.f64 a b) eps)))) #s(literal -1 binary64)))
(.f64 (neg.f64 (expm1.f64 (.f64 (+.f64 a b) eps))) (.f64 eps (/.f64 #s(literal -1 binary64) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 b eps))))))
(.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 (+.f64 a b) eps))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 b eps))))
(.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps))) (expm1.f64 (.f64 b eps))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a eps))))
(.f64 (/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps))) (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b (.f64 eps #s(literal 3 binary64))))) (+.f64 (exp.f64 (.f64 b (+.f64 eps eps))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 b eps)))))
(.f64 (/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps))) (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b (+.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 b eps))))
(.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b (.f64 eps #s(literal 3 binary64))))) (/.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 b (+.f64 eps eps))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b eps)))))))
(.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b (.f64 eps #s(literal 3 binary64))))) (.f64 (+.f64 (exp.f64 (.f64 b (+.f64 eps eps))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 b eps)))) (/.f64 eps (expm1.f64 (.f64 a eps)))))
(.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b (+.f64 eps eps)))) (/.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b eps))))))
(.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b (+.f64 eps eps)))) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 b eps))) (/.f64 eps (expm1.f64 (.f64 a eps)))))
(.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps))) (expm1.f64 (.f64 a (.f64 eps #s(literal 3 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a eps)) (exp.f64 (.f64 a (+.f64 eps eps))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 b eps)))))
(.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps))) (expm1.f64 (.f64 a (+.f64 eps eps)))) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a eps))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 b eps)))))
(.f64 (/.f64 eps (expm1.f64 (.f64 a (.f64 eps #s(literal 3 binary64))))) (/.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a eps)) (exp.f64 (*.f64 a (+.f64 eps eps))))))))
(.f64 (/.f64 eps (expm1.f64 (.f64 a (.f64 eps #s(literal 3 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a eps)) (exp.f64 (.f64 a (+.f64 eps eps))))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps)))))
(.f64 (/.f64 eps (expm1.f64 (.f64 a (+.f64 eps eps)))) (/.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps))))))
(.f64 (/.f64 eps (expm1.f64 (.f64 a (+.f64 eps eps)))) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a eps))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps)))))
(.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 (+.f64 a b) eps))) #s(literal -1 binary64)) (pow.f64 (/.f64 (expm1.f64 (.f64 b eps)) eps) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 b eps)) eps) #s(literal -1 binary64)) (pow.f64 (/.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 (+.f64 a b) eps))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) eps) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 b eps)))))
(.f64 (/.f64 eps (expm1.f64 (.f64 b (.f64 eps #s(literal 3 binary64))))) (/.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a eps))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 b (+.f64 eps eps))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b eps)))))))
(.f64 (/.f64 eps (expm1.f64 (.f64 b (+.f64 eps eps)))) (/.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a eps))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b eps))))))
(.f64 (/.f64 eps #s(literal -1 binary64)) (/.f64 (neg.f64 (expm1.f64 (.f64 (+.f64 a b) eps))) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))))
(.f64 (/.f64 eps (neg.f64 (expm1.f64 (.f64 b eps)))) (/.f64 (neg.f64 (expm1.f64 (.f64 (+.f64 a b) eps))) (expm1.f64 (.f64 a eps))))
(.f64 (/.f64 (neg.f64 (expm1.f64 (.f64 (+.f64 a b) eps))) (expm1.f64 (.f64 a eps))) (/.f64 eps (neg.f64 (expm1.f64 (.f64 b eps)))))
(.f64 (/.f64 eps (neg.f64 (expm1.f64 (.f64 a eps)))) (/.f64 (neg.f64 (expm1.f64 (.f64 (+.f64 a b) eps))) (expm1.f64 (.f64 b eps))))
(.f64 (/.f64 (neg.f64 (expm1.f64 (.f64 (+.f64 a b) eps))) (expm1.f64 (.f64 b eps))) (/.f64 eps (neg.f64 (expm1.f64 (.f64 a eps)))))
(.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) #s(literal -1 binary64)) (/.f64 (neg.f64 eps) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))))
(.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (neg.f64 (expm1.f64 (.f64 b eps)))) (/.f64 (neg.f64 eps) (expm1.f64 (.f64 a eps))))
(.f64 (/.f64 (neg.f64 eps) (expm1.f64 (.f64 a eps))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (neg.f64 (expm1.f64 (.f64 b eps)))))
(.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (neg.f64 (expm1.f64 (.f64 a eps)))) (/.f64 (neg.f64 eps) (expm1.f64 (.f64 b eps))))
(.f64 (/.f64 (neg.f64 eps) (expm1.f64 (.f64 b eps))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (neg.f64 (expm1.f64 (.f64 a eps)))))
(.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 a eps))) (/.f64 (.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps))) (neg.f64 (expm1.f64 (*.f64 b eps)))))
(.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 b eps))) (neg.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps))) (expm1.f64 (*.f64 a eps)))))
(.f64 (/.f64 (neg.f64 (expm1.f64 (.f64 (+.f64 a b) eps))) #s(literal -1 binary64)) (/.f64 eps (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))))
(.f64 (/.f64 (neg.f64 eps) #s(literal -1 binary64)) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))))
(.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps))) (expm1.f64 (.f64 b (.f64 eps #s(literal 3 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 a eps))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 b (+.f64 eps eps))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 b eps)))))))
(.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps))) (expm1.f64 (.f64 b (+.f64 eps eps)))) (/.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 a eps))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 b eps))))))
(.f64 (/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps))) (expm1.f64 (.f64 a (.f64 eps #s(literal 3 binary64))))) (expm1.f64 (.f64 b (.f64 eps #s(literal 3 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a eps)) (exp.f64 (.f64 a (+.f64 eps eps))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 b (+.f64 eps eps))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b eps)))))))
(.f64 (/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps))) (expm1.f64 (.f64 a (.f64 eps #s(literal 3 binary64))))) (expm1.f64 (.f64 b (+.f64 eps eps)))) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a eps)) (exp.f64 (.f64 a (+.f64 eps eps))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b eps))))))
(.f64 (/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps))) (expm1.f64 (.f64 a (+.f64 eps eps)))) (expm1.f64 (.f64 b (.f64 eps #s(literal 3 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a eps))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 b (+.f64 eps eps))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b eps)))))))
(.f64 (/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps))) (expm1.f64 (.f64 a (+.f64 eps eps)))) (expm1.f64 (.f64 b (+.f64 eps eps)))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a eps))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b eps))))))
(.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b (.f64 eps #s(literal 3 binary64))))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 b (+.f64 eps eps))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b eps)))))))
(.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b (+.f64 eps eps)))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b eps))))))
(.f64 (pow.f64 (/.f64 (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 b eps))) (.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 b eps))) (.f64 eps (expm1.f64 (*.f64 (+.f64 a b) eps)))) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps))) (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b (+.f64 eps eps))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b eps))))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (neg.f64 eps))) (/.f64 #s(literal -1 binary64) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 eps (expm1.f64 (.f64 b eps)))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (*.f64 a eps))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a eps)))) (/.f64 eps (expm1.f64 (*.f64 b eps))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps))) (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b (.f64 eps #s(literal 3 binary64)))))) (+.f64 (exp.f64 (.f64 b (+.f64 eps eps))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b eps)))))
(.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b (.f64 eps #s(literal 3 binary64)))))) (+.f64 (exp.f64 (.f64 b (+.f64 eps eps))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 b eps)))))
(.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b (+.f64 eps eps))))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 b eps))))
(.f64 (.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))) eps) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a eps))))
(.f64 (.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))) (/.f64 eps (expm1.f64 (.f64 a (.f64 eps #s(literal 3 binary64)))))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a eps)) (exp.f64 (.f64 a (+.f64 eps eps))))))
(.f64 (.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))) (/.f64 eps (expm1.f64 (.f64 a (+.f64 eps eps))))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a eps))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 b eps)))) eps) (expm1.f64 (.f64 (+.f64 a b) eps)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 b eps)))) (expm1.f64 (.f64 (+.f64 a b) eps))) eps)

simplify418.0ms (1.6%)

Memory

21.4MiB live, 597.1MiB allocated

Algorithm

1×	egg-herbie

Rules

9 330×	`accelerator-lowering-fma.f32`
9 330×	`accelerator-lowering-fma.f64`
7 346×	`-lowering-.f32`
7 346×	`-lowering-.f64`
4 214×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	336	2612
1	1079	2564
2	3419	2564
0	8500	2144

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

Inputs
(- (exp (* b eps)) 1)
(- (+ (exp (* b eps)) (* a (* eps (exp (* b eps))))) 1)
(- (+ (exp (* b eps)) (* a (+ (* 1/2 (* a (* (pow eps 2) (exp (* b eps))))) (* eps (exp (* b eps)))))) 1)
(- (+ (exp (* b eps)) (* a (+ (* a (+ (* 1/6 (* a (* (pow eps 3) (exp (* b eps))))) (* 1/2 (* (pow eps 2) (exp (* b eps)))))) (* eps (exp (* b eps)))))) 1)
(- (exp (* eps (+ a b))) 1)
(- (exp (* eps (+ a b))) 1)
(- (exp (* eps (+ a b))) 1)
(- (exp (* eps (+ a b))) 1)
(- (exp (* eps (- b (* -1 a)))) 1)
(- (exp (* eps (- b (* -1 a)))) 1)
(- (exp (* eps (- b (* -1 a)))) 1)
(- (exp (* eps (- b (* -1 a)))) 1)
(- (exp (* a eps)) 1)
(- (+ (exp (* a eps)) (* b (* eps (exp (* a eps))))) 1)
(- (+ (exp (* a eps)) (* b (+ (* 1/2 (* b (* (pow eps 2) (exp (* a eps))))) (* eps (exp (* a eps)))))) 1)
(- (+ (exp (* a eps)) (* b (+ (* b (+ (* 1/6 (* b (* (pow eps 3) (exp (* a eps))))) (* 1/2 (* (pow eps 2) (exp (* a eps)))))) (* eps (exp (* a eps)))))) 1)
(- (exp (* eps (+ a b))) 1)
(- (exp (* eps (+ a b))) 1)
(- (exp (* eps (+ a b))) 1)
(- (exp (* eps (+ a b))) 1)
(- (exp (* eps (- a (* -1 b)))) 1)
(- (exp (* eps (- a (* -1 b)))) 1)
(- (exp (* eps (- a (* -1 b)))) 1)
(- (exp (* eps (- a (* -1 b)))) 1)
(* eps (+ a b))
(* eps (+ a (+ b (* 1/2 (* eps (pow (+ a b) 2))))))
(* eps (+ a (+ b (* eps (+ (* 1/6 (* eps (pow (+ a b) 3))) (* 1/2 (pow (+ a b) 2)))))))
(* eps (+ a (+ b (* eps (+ (* 1/2 (pow (+ a b) 2)) (* eps (+ (* 1/24 (* eps (pow (+ a b) 4))) (* 1/6 (pow (+ a b) 3)))))))))
(- (exp (* eps (+ a b))) 1)
(- (exp (* eps (+ a b))) 1)
(- (exp (* eps (+ a b))) 1)
(- (exp (* eps (+ a b))) 1)
(- (exp (* eps (+ a b))) 1)
(- (exp (* eps (+ a b))) 1)
(- (exp (* eps (+ a b))) 1)
(- (exp (* eps (+ a b))) 1)
(* a eps)
(* a (+ eps (* 1/2 (* a (pow eps 2)))))
(* a (+ eps (* a (+ (* 1/6 (* a (pow eps 3))) (* 1/2 (pow eps 2))))))
(* a (+ eps (* a (+ (* 1/2 (pow eps 2)) (* a (+ (* 1/24 (* a (pow eps 4))) (* 1/6 (pow eps 3))))))))
(- (exp (* a eps)) 1)
(- (exp (* a eps)) 1)
(- (exp (* a eps)) 1)
(- (exp (* a eps)) 1)
(- (exp (* a eps)) 1)
(- (exp (* a eps)) 1)
(- (exp (* a eps)) 1)
(- (exp (* a eps)) 1)
(* a eps)
(* eps (+ a (* 1/2 (* (pow a 2) eps))))
(* eps (+ a (* eps (+ (* 1/6 (* (pow a 3) eps)) (* 1/2 (pow a 2))))))
(* eps (+ a (* eps (+ (* 1/2 (pow a 2)) (* eps (+ (* 1/24 (* (pow a 4) eps)) (* 1/6 (pow a 3))))))))
(- (exp (* a eps)) 1)
(- (exp (* a eps)) 1)
(- (exp (* a eps)) 1)
(- (exp (* a eps)) 1)
(- (exp (* a eps)) 1)
(- (exp (* a eps)) 1)
(- (exp (* a eps)) 1)
(- (exp (* a eps)) 1)
(* b eps)
(* b (+ eps (* 1/2 (* b (pow eps 2)))))
(* b (+ eps (* b (+ (* 1/6 (* b (pow eps 3))) (* 1/2 (pow eps 2))))))
(* b (+ eps (* b (+ (* 1/2 (pow eps 2)) (* b (+ (* 1/24 (* b (pow eps 4))) (* 1/6 (pow eps 3))))))))
(- (exp (* b eps)) 1)
(- (exp (* b eps)) 1)
(- (exp (* b eps)) 1)
(- (exp (* b eps)) 1)
(- (exp (* b eps)) 1)
(- (exp (* b eps)) 1)
(- (exp (* b eps)) 1)
(- (exp (* b eps)) 1)
(* b eps)
(* eps (+ b (* 1/2 (* (pow b 2) eps))))
(* eps (+ b (* eps (+ (* 1/6 (* (pow b 3) eps)) (* 1/2 (pow b 2))))))
(* eps (+ b (* eps (+ (* 1/2 (pow b 2)) (* eps (+ (* 1/24 (* (pow b 4) eps)) (* 1/6 (pow b 3))))))))
(- (exp (* b eps)) 1)
(- (exp (* b eps)) 1)
(- (exp (* b eps)) 1)
(- (exp (* b eps)) 1)
(- (exp (* b eps)) 1)
(- (exp (* b eps)) 1)
(- (exp (* b eps)) 1)
(- (exp (* b eps)) 1)
(/ (+ a b) (* a b))
(+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (+ (* 1/6 (/ (pow (+ a b) 3) (* a b))) (* eps (- (* 1/24 (/ (pow (+ a b) 4) (* a b))) (+ (/ (* (+ a b) (+ (* 1/24 (* a (pow b 4))) (+ (* 1/24 (* (pow a 4) b)) (+ (* 1/12 (* (pow a 2) (pow b 3))) (* 1/12 (* (pow a 3) (pow b 2))))))) (* (pow a 2) (pow b 2))) (+ (/ (* (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2))))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b))))) (* a b))))))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ 1 a)
(/ (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) a)
(/ (+ 1 (* a (- (+ (* a (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a)
(/ (+ 1 (* a (- (+ (* a (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (* a (- (* 1/6 (/ (* (pow eps 3) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a)
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ 1 b)
(/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b)
(/ (+ 1 (* b (- (+ (* b (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b)
(/ (+ 1 (* b (- (+ (* b (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (* b (- (* 1/6 (/ (* (pow eps 3) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b)
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))

Outputs
(- (exp (* b eps)) 1)
(expm1.f64 (*.f64 b eps))
(- (+ (exp (* b eps)) (* a (* eps (exp (* b eps))))) 1)
(fma.f64 (fma.f64 eps a #s(literal 1 binary64)) (exp.f64 (*.f64 b eps)) #s(literal -1 binary64))
(- (+ (exp (* b eps)) (* a (+ (* 1/2 (* a (* (pow eps 2) (exp (* b eps))))) (* eps (exp (* b eps)))))) 1)
(+.f64 (fma.f64 a (.f64 a (.f64 (exp.f64 (.f64 b eps)) (.f64 eps (.f64 eps #s(literal 1/2 binary64))))) (.f64 (fma.f64 eps a #s(literal 1 binary64)) (exp.f64 (*.f64 b eps)))) #s(literal -1 binary64))
(- (+ (exp (* b eps)) (* a (+ (* a (+ (* 1/6 (* a (* (pow eps 3) (exp (* b eps))))) (* 1/2 (* (pow eps 2) (exp (* b eps)))))) (* eps (exp (* b eps)))))) 1)
(+.f64 (fma.f64 (fma.f64 (exp.f64 (.f64 b eps)) (.f64 eps (.f64 eps #s(literal 1/2 binary64))) (.f64 (.f64 a (.f64 eps (.f64 eps (.f64 eps #s(literal 1/6 binary64))))) (exp.f64 (.f64 b eps)))) (.f64 a a) (.f64 (fma.f64 eps a #s(literal 1 binary64)) (exp.f64 (.f64 b eps)))) #s(literal -1 binary64))
(- (exp (* eps (+ a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (+ a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (+ a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (+ a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (- b (* -1 a)))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (- b (* -1 a)))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (- b (* -1 a)))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (- b (* -1 a)))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 eps a))
(- (+ (exp (* a eps)) (* b (* eps (exp (* a eps))))) 1)
(fma.f64 (fma.f64 b eps #s(literal 1 binary64)) (exp.f64 (*.f64 eps a)) #s(literal -1 binary64))
(- (+ (exp (* a eps)) (* b (+ (* 1/2 (* b (* (pow eps 2) (exp (* a eps))))) (* eps (exp (* a eps)))))) 1)
(+.f64 #s(literal -1 binary64) (fma.f64 (.f64 (exp.f64 (.f64 eps a)) (.f64 b (.f64 eps eps))) (.f64 b #s(literal 1/2 binary64)) (.f64 (fma.f64 b eps #s(literal 1 binary64)) (exp.f64 (*.f64 eps a)))))
(- (+ (exp (* a eps)) (* b (+ (* b (+ (* 1/6 (* b (* (pow eps 3) (exp (* a eps))))) (* 1/2 (* (pow eps 2) (exp (* a eps)))))) (* eps (exp (* a eps)))))) 1)
(+.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 (.f64 b (.f64 eps (.f64 eps (.f64 eps #s(literal 1/6 binary64))))) (exp.f64 (.f64 eps a)) (.f64 (exp.f64 (.f64 eps a)) (.f64 eps (.f64 eps #s(literal 1/2 binary64))))) (.f64 b b) (.f64 (fma.f64 b eps #s(literal 1 binary64)) (exp.f64 (.f64 eps a)))))
(- (exp (* eps (+ a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (+ a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (+ a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (+ a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (- a (* -1 b)))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (- a (* -1 b)))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (- a (* -1 b)))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (- a (* -1 b)))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(* eps (+ a b))
(*.f64 eps (+.f64 b a))
(* eps (+ a (+ b (* 1/2 (* eps (pow (+ a b) 2))))))
(.f64 eps (fma.f64 (.f64 (+.f64 b a) (+.f64 b a)) (*.f64 eps #s(literal 1/2 binary64)) (+.f64 b a)))
(* eps (+ a (+ b (* eps (+ (* 1/6 (* eps (pow (+ a b) 3))) (* 1/2 (pow (+ a b) 2)))))))
(.f64 eps (fma.f64 eps (fma.f64 eps (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (.f64 (+.f64 b a) #s(literal 1/6 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 b a) (+.f64 b a)))) (+.f64 b a)))
(* eps (+ a (+ b (* eps (+ (* 1/2 (pow (+ a b) 2)) (* eps (+ (* 1/24 (* eps (pow (+ a b) 4))) (* 1/6 (pow (+ a b) 3)))))))))
(.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 (pow.f64 (+.f64 b a) #s(literal 4 binary64)) (.f64 eps #s(literal 1/24 binary64)) (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (.f64 (+.f64 b a) #s(literal 1/6 binary64)))) (.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (+.f64 b a)))) (+.f64 b a)))
(- (exp (* eps (+ a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (+ a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (+ a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (+ a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (+ a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (+ a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (+ a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (+ a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(* a eps)
(*.f64 eps a)
(* a (+ eps (* 1/2 (* a (pow eps 2)))))
(.f64 eps (fma.f64 eps (.f64 a (*.f64 a #s(literal 1/2 binary64))) a))
(* a (+ eps (* a (+ (* 1/6 (* a (pow eps 3))) (* 1/2 (pow eps 2))))))
(.f64 a (fma.f64 a (fma.f64 a (.f64 eps (.f64 eps (.f64 eps #s(literal 1/6 binary64)))) (.f64 eps (.f64 eps #s(literal 1/2 binary64)))) eps))
(* a (+ eps (* a (+ (* 1/2 (pow eps 2)) (* a (+ (* 1/24 (* a (pow eps 4))) (* 1/6 (pow eps 3))))))))
(.f64 a (fma.f64 a (fma.f64 a (fma.f64 eps (.f64 eps (.f64 eps #s(literal 1/6 binary64))) (.f64 (pow.f64 eps #s(literal 4 binary64)) (.f64 a #s(literal 1/24 binary64)))) (.f64 eps (*.f64 eps #s(literal 1/2 binary64)))) eps))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 eps a))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 eps a))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 eps a))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 eps a))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 eps a))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 eps a))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 eps a))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 eps a))
(* a eps)
(*.f64 eps a)
(* eps (+ a (* 1/2 (* (pow a 2) eps))))
(.f64 eps (fma.f64 eps (.f64 a (*.f64 a #s(literal 1/2 binary64))) a))
(* eps (+ a (* eps (+ (* 1/6 (* (pow a 3) eps)) (* 1/2 (pow a 2))))))
(.f64 eps (fma.f64 eps (fma.f64 eps (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 a a))) (.f64 a (.f64 a #s(literal 1/2 binary64)))) a))
(* eps (+ a (* eps (+ (* 1/2 (pow a 2)) (* eps (+ (* 1/24 (* (pow a 4) eps)) (* 1/6 (pow a 3))))))))
(.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/6 binary64) (.f64 a (.f64 a a)) (.f64 #s(literal 1/24 binary64) (.f64 eps (pow.f64 a #s(literal 4 binary64))))) (.f64 a (*.f64 a #s(literal 1/2 binary64)))) a))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 eps a))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 eps a))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 eps a))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 eps a))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 eps a))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 eps a))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 eps a))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 eps a))
(* b eps)
(*.f64 b eps)
(* b (+ eps (* 1/2 (* b (pow eps 2)))))
(.f64 b (fma.f64 b (.f64 eps (*.f64 eps #s(literal 1/2 binary64))) eps))
(* b (+ eps (* b (+ (* 1/6 (* b (pow eps 3))) (* 1/2 (pow eps 2))))))
(.f64 b (fma.f64 b (fma.f64 b (.f64 eps (.f64 eps (.f64 eps #s(literal 1/6 binary64)))) (.f64 eps (.f64 eps #s(literal 1/2 binary64)))) eps))
(* b (+ eps (* b (+ (* 1/2 (pow eps 2)) (* b (+ (* 1/24 (* b (pow eps 4))) (* 1/6 (pow eps 3))))))))
(.f64 b (fma.f64 b (fma.f64 b (fma.f64 b (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/24 binary64)) (.f64 eps (.f64 eps (.f64 eps #s(literal 1/6 binary64))))) (.f64 eps (*.f64 eps #s(literal 1/2 binary64)))) eps))
(- (exp (* b eps)) 1)
(expm1.f64 (*.f64 b eps))
(- (exp (* b eps)) 1)
(expm1.f64 (*.f64 b eps))
(- (exp (* b eps)) 1)
(expm1.f64 (*.f64 b eps))
(- (exp (* b eps)) 1)
(expm1.f64 (*.f64 b eps))
(- (exp (* b eps)) 1)
(expm1.f64 (*.f64 b eps))
(- (exp (* b eps)) 1)
(expm1.f64 (*.f64 b eps))
(- (exp (* b eps)) 1)
(expm1.f64 (*.f64 b eps))
(- (exp (* b eps)) 1)
(expm1.f64 (*.f64 b eps))
(* b eps)
(*.f64 b eps)
(* eps (+ b (* 1/2 (* (pow b 2) eps))))
(.f64 b (fma.f64 b (.f64 eps (*.f64 eps #s(literal 1/2 binary64))) eps))
(* eps (+ b (* eps (+ (* 1/6 (* (pow b 3) eps)) (* 1/2 (pow b 2))))))
(.f64 eps (fma.f64 eps (fma.f64 eps (.f64 b (.f64 (.f64 b b) #s(literal 1/6 binary64))) (.f64 b (.f64 b #s(literal 1/2 binary64)))) b))
(* eps (+ b (* eps (+ (* 1/2 (pow b 2)) (* eps (+ (* 1/24 (* (pow b 4) eps)) (* 1/6 (pow b 3))))))))
(.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 b (.f64 (.f64 b b) #s(literal 1/6 binary64)) (.f64 eps (.f64 #s(literal 1/24 binary64) (pow.f64 b #s(literal 4 binary64))))) (.f64 b (*.f64 b #s(literal 1/2 binary64)))) b))
(- (exp (* b eps)) 1)
(expm1.f64 (*.f64 b eps))
(- (exp (* b eps)) 1)
(expm1.f64 (*.f64 b eps))
(- (exp (* b eps)) 1)
(expm1.f64 (*.f64 b eps))
(- (exp (* b eps)) 1)
(expm1.f64 (*.f64 b eps))
(- (exp (* b eps)) 1)
(expm1.f64 (*.f64 b eps))
(- (exp (* b eps)) 1)
(expm1.f64 (*.f64 b eps))
(- (exp (* b eps)) 1)
(expm1.f64 (*.f64 b eps))
(- (exp (* b eps)) 1)
(expm1.f64 (*.f64 b eps))
(/ (+ a b) (* a b))
(/.f64 (+.f64 b a) (*.f64 b a))
(+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
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eval51.0ms (0.2%)

Memory: -22.0MiB live, 89.4MiB allocated
Compiler: Compiled 17 346 to 1 535 computations (91.2% saved)

prune61.0ms (0.2%)

Memory

6.1MiB live, 121.2MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	478	6	484
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	479	6	485

Accuracy

98.2%

Counts

485 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	14.5%	(fma.f64 eps (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 b a) (+.f64 b a)) (.f64 b a)) (/.f64 (.f64 (+.f64 b a) (.f64 #s(literal -1/2 binary64) (fma.f64 b (.f64 b a) (.f64 b (.f64 a a))))) (.f64 b (.f64 b (.f64 a a))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
	37.5%	(/.f64 (fma.f64 b (.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps a))) #s(literal -1/2 binary64))) #s(literal 1 binary64)) b)
▶	42.4%	(/.f64 (fma.f64 a (.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 b eps))) #s(literal -1/2 binary64))) #s(literal 1 binary64)) a)
▶	59.6%	(/.f64 (+.f64 b a) (*.f64 b a))
▶	45.9%	(/.f64 #s(literal 1 binary64) b)
▶	53.4%	(/.f64 #s(literal 1 binary64) a)

Compiler

Compiled 226 to 128 computations (43.4% saved)

simplify408.0ms (1.6%)

Memory

24.0MiB live, 653.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps))) #s(literal -1/2 binary64))
✓	cost-diff	0	(.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 b eps))) #s(literal -1/2 binary64)))
✓	cost-diff	0	(fma.f64 a (.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 b eps))) #s(literal -1/2 binary64))) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 a (.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 b eps))) #s(literal -1/2 binary64))) #s(literal 1 binary64)) a)
✓	cost-diff	384	(fma.f64 eps (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 b a) (+.f64 b a)) (.f64 b a)) (/.f64 (.f64 (+.f64 b a) (.f64 #s(literal -1/2 binary64) (fma.f64 b (.f64 b a) (.f64 b (.f64 a a))))) (.f64 b (.f64 b (.f64 a a))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
✓	cost-diff	512	(fma.f64 b (.f64 b a) (.f64 b (*.f64 a a)))
✓	cost-diff	1280	(/.f64 (.f64 (+.f64 b a) (.f64 #s(literal -1/2 binary64) (fma.f64 b (.f64 b a) (.f64 b (.f64 a a))))) (.f64 b (.f64 b (.f64 a a))))
✓	cost-diff	4160	(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 b a) (+.f64 b a)) (.f64 b a)) (/.f64 (.f64 (+.f64 b a) (.f64 #s(literal -1/2 binary64) (fma.f64 b (.f64 b a) (.f64 b (.f64 a a))))) (.f64 b (.f64 b (.f64 a a)))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) b)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) a)
✓	cost-diff	0	(*.f64 b a)
✓	cost-diff	0	(+.f64 b a)
✓	cost-diff	0	(/.f64 (+.f64 b a) (*.f64 b a))

Rules

15 394×	`accelerator-lowering-fma.f32`
15 394×	`accelerator-lowering-fma.f64`
4 472×	`-lowering-.f32`
4 472×	`-lowering-.f64`
3 786×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	362
1	111	348
2	400	330
3	1946	306
4	4599	298
5	5656	274
6	6033	238
7	6156	234
8	6189	230
9	7042	230
0	8385	216

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (+ b a) (* b a))
(+ b a)
b
a
(* b a)
(/ 1 a)
1
a
(/ 1 b)
1
b
(+ (* eps (+ (* 1/2 (/ (* (+ b a) (+ b a)) (* b a))) (/ (* (+ b a) (* -1/2 (+ (* b (* b a)) (* b (* a a))))) (* b (* b (* a a)))))) (+ (/ 1 a) (/ 1 b)))
eps
(+ (* 1/2 (/ (* (+ b a) (+ b a)) (* b a))) (/ (* (+ b a) (* -1/2 (+ (* b (* b a)) (* b (* a a))))) (* b (* b (* a a)))))
1/2
(/ (* (+ b a) (+ b a)) (* b a))
(* (+ b a) (+ b a))
(+ b a)
b
a
(* b a)
(/ (* (+ b a) (* -1/2 (+ (* b (* b a)) (* b (* a a))))) (* b (* b (* a a))))
(* (+ b a) (* -1/2 (+ (* b (* b a)) (* b (* a a)))))
(* -1/2 (+ (* b (* b a)) (* b (* a a))))
-1/2
(+ (* b (* b a)) (* b (* a a)))
(* b (* a a))
(* a a)
(* b (* b (* a a)))
(+ (/ 1 a) (/ 1 b))
(/ 1 a)
1
(/ 1 b)
(/ (+ (* a (* eps (+ (/ (exp (* b eps)) (- (exp (* b eps)) 1)) -1/2))) 1) a)
(+ (* a (* eps (+ (/ (exp (* b eps)) (- (exp (* b eps)) 1)) -1/2))) 1)
a
(* eps (+ (/ (exp (* b eps)) (- (exp (* b eps)) 1)) -1/2))
eps
(+ (/ (exp (* b eps)) (- (exp (* b eps)) 1)) -1/2)
(/ (exp (* b eps)) (- (exp (* b eps)) 1))
(exp (* b eps))
(* b eps)
b
(- (exp (* b eps)) 1)
-1/2
1

Outputs
(/ (+ b a) (* b a))
(/.f64 (+.f64 b a) (*.f64 b a))
(+ b a)
(+.f64 b a)
b
a
(* b a)
(*.f64 b a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
1
#s(literal 1 binary64)
a
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
1
#s(literal 1 binary64)
b
(+ (* eps (+ (* 1/2 (/ (* (+ b a) (+ b a)) (* b a))) (/ (* (+ b a) (* -1/2 (+ (* b (* b a)) (* b (* a a))))) (* b (* b (* a a)))))) (+ (/ 1 a) (/ 1 b)))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
eps
(+ (* 1/2 (/ (* (+ b a) (+ b a)) (* b a))) (/ (* (+ b a) (* -1/2 (+ (* b (* b a)) (* b (* a a))))) (* b (* b (* a a)))))
#s(literal 0 binary64)
1/2
#s(literal 1/2 binary64)
(/ (* (+ b a) (+ b a)) (* b a))
(.f64 (+.f64 b a) (/.f64 (+.f64 b a) (.f64 b a)))
(* (+ b a) (+ b a))
(*.f64 (+.f64 b a) (+.f64 b a))
(+ b a)
(+.f64 b a)
b
a
(* b a)
(*.f64 b a)
(/ (* (+ b a) (* -1/2 (+ (* b (* b a)) (* b (* a a))))) (* b (* b (* a a))))
(.f64 (/.f64 (+.f64 b a) (.f64 b a)) (*.f64 (+.f64 b a) #s(literal -1/2 binary64)))
(* (+ b a) (* -1/2 (+ (* b (* b a)) (* b (* a a)))))
(.f64 (+.f64 b a) (.f64 b (.f64 a (.f64 (+.f64 b a) #s(literal -1/2 binary64)))))
(* -1/2 (+ (* b (* b a)) (* b (* a a))))
(.f64 b (.f64 a (*.f64 (+.f64 b a) #s(literal -1/2 binary64))))
-1/2
#s(literal -1/2 binary64)
(+ (* b (* b a)) (* b (* a a)))
(.f64 b (.f64 a (+.f64 b a)))
(* b (* a a))
(.f64 a (.f64 b a))
(* a a)
(*.f64 a a)
(* b (* b (* a a)))
(.f64 b (.f64 a (*.f64 b a)))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
1
#s(literal 1 binary64)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ (+ (* a (* eps (+ (/ (exp (* b eps)) (- (exp (* b eps)) 1)) -1/2))) 1) a)
(/.f64 (fma.f64 a (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 b eps))))) #s(literal 1 binary64)) a)
(+ (* a (* eps (+ (/ (exp (* b eps)) (- (exp (* b eps)) 1)) -1/2))) 1)
(fma.f64 a (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 b eps))))) #s(literal 1 binary64))
a
(* eps (+ (/ (exp (* b eps)) (- (exp (* b eps)) 1)) -1/2))
(.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 b eps)))))
eps
(+ (/ (exp (* b eps)) (- (exp (* b eps)) 1)) -1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps))))
(/ (exp (* b eps)) (- (exp (* b eps)) 1))
(/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))
(exp (* b eps))
(exp.f64 (*.f64 b eps))
(* b eps)
(*.f64 b eps)
b
(- (exp (* b eps)) 1)
(expm1.f64 (*.f64 b eps))
-1/2
#s(literal -1/2 binary64)
1
#s(literal 1 binary64)

localize416.0ms (1.6%)

Memory

5.3MiB live, 651.9MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(/.f64 (fma.f64 a (.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 b eps))) #s(literal -1/2 binary64))) #s(literal 1 binary64)) a)
✓	accuracy	99.8%	(fma.f64 a (.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 b eps))) #s(literal -1/2 binary64))) #s(literal 1 binary64))
✓	accuracy	99.8%	(/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))
✓	accuracy	42.5%	(.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 b eps))) #s(literal -1/2 binary64)))
✓	accuracy	99.9%	(.f64 (+.f64 b a) (.f64 #s(literal -1/2 binary64) (fma.f64 b (.f64 b a) (.f64 b (*.f64 a a)))))
✓	accuracy	99.9%	(.f64 b (.f64 a a))
✓	accuracy	57.9%	(/.f64 (.f64 (+.f64 b a) (+.f64 b a)) (.f64 b a))
✓	accuracy	15.9%	(/.f64 (.f64 (+.f64 b a) (.f64 #s(literal -1/2 binary64) (fma.f64 b (.f64 b a) (.f64 b (.f64 a a))))) (.f64 b (.f64 b (.f64 a a))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) b)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) a)
✓	accuracy	100.0%	(+.f64 b a)
✓	accuracy	100.0%	(*.f64 b a)
✓	accuracy	59.6%	(/.f64 (+.f64 b a) (*.f64 b a))

Samples

317.0ms

256×

valid

Compiler

Compiled 313 to 37 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 249.0ms

ival-add: 74.0ms (29.7% of total)

ival-div: 67.0ms (26.9% of total)

ival-mult: 64.0ms (25.7% of total)

adjust: 33.0ms (13.3% of total)

ival-exp: 4.0ms (1.6% of total)

ival-expm1: 4.0ms (1.6% of total)

exact: 1.0ms (0.4% of total)

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

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

series134.0ms (0.5%)

Memory

-17.3MiB live, 77.9MiB allocated

Counts

17 → 420

Calls

Call 1

Inputs
#<alt (/ (+ b a) (* b a))>
#<alt (+ b a)>
#<alt (* b a)>
#<alt (/ 1 a)>
#<alt (/ 1 b)>
#<alt (+ (* 1/2 (/ (* (+ b a) (+ b a)) (* b a))) (/ (* (+ b a) (* -1/2 (+ (* b (* b a)) (* b (* a a))))) (* b (* b (* a a)))))>
#<alt (/ (* (+ b a) (* -1/2 (+ (* b (* b a)) (* b (* a a))))) (* b (* b (* a a))))>
#<alt (+ (* b (* b a)) (* b (* a a)))>
#<alt (+ (* eps (+ (* 1/2 (/ (* (+ b a) (+ b a)) (* b a))) (/ (* (+ b a) (* -1/2 (+ (* b (* b a)) (* b (* a a))))) (* b (* b (* a a)))))) (+ (/ 1 a) (/ 1 b)))>
#<alt (/ (+ (* a (* eps (+ (/ (exp (* b eps)) (- (exp (* b eps)) 1)) -1/2))) 1) a)>
#<alt (+ (* a (* eps (+ (/ (exp (* b eps)) (- (exp (* b eps)) 1)) -1/2))) 1)>
#<alt (* eps (+ (/ (exp (* b eps)) (- (exp (* b eps)) 1)) -1/2))>
#<alt (+ (/ (exp (* b eps)) (- (exp (* b eps)) 1)) -1/2)>
#<alt (/ (* (+ b a) (+ b a)) (* b a))>
#<alt (* b (* a a))>
#<alt (* (+ b a) (* -1/2 (+ (* b (* b a)) (* b (* a a)))))>
#<alt (/ (exp (* b eps)) (- (exp (* b eps)) 1))>

Outputs
#<alt (/ 1 b)>
#<alt (/ (+ 1 (/ b a)) b)>
#<alt (/ (+ 1 (/ b a)) b)>
#<alt (/ (+ 1 (/ b a)) b)>
#<alt (/ 1 a)>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (/ 1 a)>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (/ 1 a)>
#<alt (/ (+ 1 (/ a b)) a)>
#<alt (/ (+ 1 (/ a b)) a)>
#<alt (/ (+ 1 (/ a b)) a)>
#<alt (/ 1 b)>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (/ 1 b)>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt a>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt b>
#<alt (* b (+ 1 (/ a b)))>
#<alt (* b (+ 1 (/ a b)))>
#<alt (* b (+ 1 (/ a b)))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt b>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt a>
#<alt (* a (+ 1 (/ b a)))>
#<alt (* a (+ 1 (/ b a)))>
#<alt (* a (+ 1 (/ b a)))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ (+ (* -1/2 a) (* 1/2 a)) b)>
#<alt (/ (+ (* -1/2 a) (* 1/2 a)) b)>
#<alt (/ (+ (* -1/2 a) (* 1/2 a)) b)>
#<alt (/ (+ (* -1/2 a) (* 1/2 a)) b)>
#<alt (/ (+ (* -1/2 a) (* 1/2 a)) b)>
#<alt (/ (+ (* -1/2 a) (* 1/2 a)) b)>
#<alt (/ (+ (* -1/2 a) (* 1/2 a)) b)>
#<alt (/ (+ (* -1/2 a) (* 1/2 a)) b)>
#<alt (* -1 (/ (+ (* -1/2 a) (* 1/2 a)) b))>
#<alt (* -1 (/ (+ (* -1/2 a) (* 1/2 a)) b))>
#<alt (* -1 (/ (+ (* -1/2 a) (* 1/2 a)) b))>
#<alt (* -1 (/ (+ (* -1/2 a) (* 1/2 a)) b))>
#<alt (/ (+ (* -1/2 b) (* 1/2 b)) a)>
#<alt (/ (+ (* -1/2 b) (* 1/2 b)) a)>
#<alt (/ (+ (* -1/2 b) (* 1/2 b)) a)>
#<alt (/ (+ (* -1/2 b) (* 1/2 b)) a)>
#<alt (/ (+ (* -1/2 b) (* 1/2 b)) a)>
#<alt (/ (+ (* -1/2 b) (* 1/2 b)) a)>
#<alt (/ (+ (* -1/2 b) (* 1/2 b)) a)>
#<alt (/ (+ (* -1/2 b) (* 1/2 b)) a)>
#<alt (* -1 (/ (+ (* -1/2 b) (* 1/2 b)) a))>
#<alt (* -1 (/ (+ (* -1/2 b) (* 1/2 b)) a))>
#<alt (* -1 (/ (+ (* -1/2 b) (* 1/2 b)) a))>
#<alt (* -1 (/ (+ (* -1/2 b) (* 1/2 b)) a))>
#<alt (* -1/2 (/ a b))>
#<alt (/ (+ (* -1 b) (* -1/2 a)) b)>
#<alt (/ (+ (* -1/2 a) (* b (- (* -1/2 (/ b a)) 1))) b)>
#<alt (/ (+ (* -1/2 a) (* b (- (* -1/2 (/ b a)) 1))) b)>
#<alt (* -1/2 (/ b a))>
#<alt (* -1 (* b (+ (* 1/2 (/ 1 a)) (/ 1 b))))>
#<alt (* b (- (* -1/2 (/ a (pow b 2))) (+ (* 1/2 (/ 1 a)) (/ 1 b))))>
#<alt (* b (- (* -1/2 (/ a (pow b 2))) (+ (* 1/2 (/ 1 a)) (/ 1 b))))>
#<alt (* -1/2 (/ b a))>
#<alt (* -1 (* b (+ (* 1/2 (/ 1 a)) (/ 1 b))))>
#<alt (* -1 (* b (+ (* -1 (/ (- (* -1/2 (/ a b)) 1) b)) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (* b (+ (* -1 (/ (- (* -1/2 (/ a b)) 1) b)) (* 1/2 (/ 1 a)))))>
#<alt (* -1/2 (/ b a))>
#<alt (/ (+ (* -1 a) (* -1/2 b)) a)>
#<alt (/ (+ (* -1/2 b) (* a (- (* -1/2 (/ a b)) 1))) a)>
#<alt (/ (+ (* -1/2 b) (* a (- (* -1/2 (/ a b)) 1))) a)>
#<alt (* -1/2 (/ a b))>
#<alt (* -1 (* a (+ (/ 1 a) (* 1/2 (/ 1 b)))))>
#<alt (* a (- (* -1/2 (/ b (pow a 2))) (+ (/ 1 a) (* 1/2 (/ 1 b)))))>
#<alt (* a (- (* -1/2 (/ b (pow a 2))) (+ (/ 1 a) (* 1/2 (/ 1 b)))))>
#<alt (* -1/2 (/ a b))>
#<alt (* -1 (* a (+ (/ 1 a) (* 1/2 (/ 1 b)))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/2 (/ b a)) 1) a)) (* 1/2 (/ 1 b)))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/2 (/ b a)) 1) a)) (* 1/2 (/ 1 b)))))>
#<alt (* (pow a 2) b)>
#<alt (* b (+ (* a b) (pow a 2)))>
#<alt (* b (+ (* a b) (pow a 2)))>
#<alt (* b (+ (* a b) (pow a 2)))>
#<alt (* a (pow b 2))>
#<alt (* (pow b 2) (+ a (/ (pow a 2) b)))>
#<alt (* (pow b 2) (+ a (/ (pow a 2) b)))>
#<alt (* (pow b 2) (+ a (/ (pow a 2) b)))>
#<alt (* a (pow b 2))>
#<alt (* (pow b 2) (+ a (/ (pow a 2) b)))>
#<alt (* (pow b 2) (+ a (/ (pow a 2) b)))>
#<alt (* (pow b 2) (+ a (/ (pow a 2) b)))>
#<alt (* a (pow b 2))>
#<alt (* a (+ (* a b) (pow b 2)))>
#<alt (* a (+ (* a b) (pow b 2)))>
#<alt (* a (+ (* a b) (pow b 2)))>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) (+ b (/ (pow b 2) a)))>
#<alt (* (pow a 2) (+ b (/ (pow b 2) a)))>
#<alt (* (pow a 2) (+ b (/ (pow b 2) a)))>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) (+ b (/ (pow b 2) a)))>
#<alt (* (pow a 2) (+ b (/ (pow b 2) a)))>
#<alt (* (pow a 2) (+ b (/ (pow b 2) a)))>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (+ (* eps (+ (* -1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2)))) (* 1/2 (/ (pow (+ a b) 2) (* a b))))) (+ (/ 1 a) (/ 1 b)))>
#<alt (+ (* eps (+ (* -1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2)))) (* 1/2 (/ (pow (+ a b) 2) (* a b))))) (+ (/ 1 a) (/ 1 b)))>
#<alt (+ (* eps (+ (* -1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2)))) (* 1/2 (/ (pow (+ a b) 2) (* a b))))) (+ (/ 1 a) (/ 1 b)))>
#<alt (* eps (+ (* -1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2)))) (* 1/2 (/ (pow (+ a b) 2) (* a b)))))>
#<alt (* eps (+ (* -1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2)))) (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (+ (/ 1 (* a eps)) (/ 1 (* b eps))))))>
#<alt (* eps (+ (* -1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2)))) (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (+ (/ 1 (* a eps)) (/ 1 (* b eps))))))>
#<alt (* eps (+ (* -1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2)))) (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (+ (/ 1 (* a eps)) (/ 1 (* b eps))))))>
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#<alt (* -1/2 (* a (pow b 3)))>
#<alt (* -1 (* (pow b 3) (+ (* 1/2 a) (/ (pow a 2) b))))>
#<alt (* -1 (* (pow b 3) (+ (* -1 (/ (+ (* -1 (pow a 2)) (* -1/2 (/ (pow a 3) b))) b)) (* 1/2 a))))>
#<alt (* -1 (* (pow b 3) (+ (* -1 (/ (+ (* -1 (pow a 2)) (* -1/2 (/ (pow a 3) b))) b)) (* 1/2 a))))>
#<alt (* -1/2 (* a (pow b 3)))>
#<alt (* a (+ (* -1 (* a (pow b 2))) (* -1/2 (pow b 3))))>
#<alt (* a (+ (* -1/2 (pow b 3)) (* a (+ (* -1 (pow b 2)) (* -1/2 (* a b))))))>
#<alt (* a (+ (* -1/2 (pow b 3)) (* a (+ (* -1 (pow b 2)) (* -1/2 (* a b))))))>
#<alt (* -1/2 (* (pow a 3) b))>
#<alt (* (pow a 3) (+ (* -1 (/ (pow b 2) a)) (* -1/2 b)))>
#<alt (* (pow a 3) (+ (* -1 (/ (pow b 2) a)) (+ (* -1/2 b) (* -1/2 (/ (pow b 3) (pow a 2))))))>
#<alt (* (pow a 3) (+ (* -1 (/ (pow b 2) a)) (+ (* -1/2 b) (* -1/2 (/ (pow b 3) (pow a 2))))))>
#<alt (* -1/2 (* (pow a 3) b))>
#<alt (* -1 (* (pow a 3) (+ (* 1/2 b) (/ (pow b 2) a))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (pow b 2)) (* -1/2 (/ (pow b 3) a))) a)) (* 1/2 b))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (pow b 2)) (* -1/2 (/ (pow b 3) a))) a)) (* 1/2 b))))>
#<alt (/ 1 (* b eps))>
#<alt (/ (+ (* 1/2 b) (/ 1 eps)) b)>
#<alt (/ (+ (* b (+ 1/2 (* b (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps)))))) (/ 1 eps)) b)>
#<alt (/ (+ (* b (+ 1/2 (* b (- (+ (* 1/2 eps) (* b (- (* 1/6 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (+ (* 1/12 (pow eps 2)) (* 1/2 (* eps (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps)))))))))) (+ (* 1/6 eps) (* 1/4 eps)))))) (/ 1 eps)) b)>
#<alt (/ (exp (* b eps)) (- (exp (* b eps)) 1))>
#<alt (/ (exp (* b eps)) (- (exp (* b eps)) 1))>
#<alt (/ (exp (* b eps)) (- (exp (* b eps)) 1))>
#<alt (/ (exp (* b eps)) (- (exp (* b eps)) 1))>
#<alt (/ (exp (* b eps)) (- (exp (* b eps)) 1))>
#<alt (/ (exp (* b eps)) (- (exp (* b eps)) 1))>
#<alt (/ (exp (* b eps)) (- (exp (* b eps)) 1))>
#<alt (/ (exp (* b eps)) (- (exp (* b eps)) 1))>
#<alt (/ 1 (* b eps))>
#<alt (/ (+ (* 1/2 eps) (/ 1 b)) eps)>
#<alt (/ (+ (* eps (+ 1/2 (* eps (- (* 1/2 b) (+ (* 1/6 b) (* 1/4 b)))))) (/ 1 b)) eps)>
#<alt (/ (+ (* eps (+ 1/2 (* eps (- (+ (* 1/2 b) (* eps (- (* 1/6 (pow b 2)) (+ (* 1/24 (pow b 2)) (+ (* 1/12 (pow b 2)) (* 1/2 (* b (- (* 1/2 b) (+ (* 1/6 b) (* 1/4 b)))))))))) (+ (* 1/6 b) (* 1/4 b)))))) (/ 1 b)) eps)>
#<alt (/ (exp (* b eps)) (- (exp (* b eps)) 1))>
#<alt (/ (exp (* b eps)) (- (exp (* b eps)) 1))>
#<alt (/ (exp (* b eps)) (- (exp (* b eps)) 1))>
#<alt (/ (exp (* b eps)) (- (exp (* b eps)) 1))>
#<alt (/ (exp (* b eps)) (- (exp (* b eps)) 1))>
#<alt (/ (exp (* b eps)) (- (exp (* b eps)) 1))>
#<alt (/ (exp (* b eps)) (- (exp (* b eps)) 1))>
#<alt (/ (exp (* b eps)) (- (exp (* b eps)) 1))>

Calls

105 calls:

Time	Variable		Point	Expression
54.0ms	b	@	0	(+ (* 1/2 (/ (* (+ b a) (+ b a)) (* b a))) (/ (* (+ b a) (* -1/2 (+ (* b (* b a)) (* b (* a a))))) (* b (* b (* a a)))))
21.0ms	eps	@	0	(/ (+ (* a (* eps (+ (/ (exp (* b eps)) (- (exp (* b eps)) 1)) -1/2))) 1) a)
10.0ms	a	@	inf	(+ (* 1/2 (/ (* (+ b a) (+ b a)) (* b a))) (/ (* (+ b a) (* -1/2 (+ (* b (* b a)) (* b (* a a))))) (* b (* b (* a a)))))
4.0ms	b	@	inf	(+ (* 1/2 (/ (* (+ b a) (+ b a)) (* b a))) (/ (* (+ b a) (* -1/2 (+ (* b (* b a)) (* b (* a a))))) (* b (* b (* a a)))))
3.0ms	a	@	0	(/ (+ b a) (* b a))

rewrite804.0ms (3.1%)

Memory

-6.9MiB live, 644.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 096×	`accelerator-lowering-fma.f32`
5 096×	`accelerator-lowering-fma.f64`
4 436×	`/-lowering-/.f32`
4 436×	`/-lowering-/.f64`
4 382×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	239
1	256	229
2	2765	223
0	9357	208

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 677

Calls

Call 1

Inputs
(/ (+ b a) (* b a))
(+ b a)
(* b a)
(/ 1 a)
(/ 1 b)
(+ (* 1/2 (/ (* (+ b a) (+ b a)) (* b a))) (/ (* (+ b a) (* -1/2 (+ (* b (* b a)) (* b (* a a))))) (* b (* b (* a a)))))
(/ (* (+ b a) (* -1/2 (+ (* b (* b a)) (* b (* a a))))) (* b (* b (* a a))))
(+ (* b (* b a)) (* b (* a a)))
(+ (* eps (+ (* 1/2 (/ (* (+ b a) (+ b a)) (* b a))) (/ (* (+ b a) (* -1/2 (+ (* b (* b a)) (* b (* a a))))) (* b (* b (* a a)))))) (+ (/ 1 a) (/ 1 b)))
(/ (+ (* a (* eps (+ (/ (exp (* b eps)) (- (exp (* b eps)) 1)) -1/2))) 1) a)
(+ (* a (* eps (+ (/ (exp (* b eps)) (- (exp (* b eps)) 1)) -1/2))) 1)
(* eps (+ (/ (exp (* b eps)) (- (exp (* b eps)) 1)) -1/2))
(+ (/ (exp (* b eps)) (- (exp (* b eps)) 1)) -1/2)
(/ (* (+ b a) (+ b a)) (* b a))
(* b (* a a))
(* (+ b a) (* -1/2 (+ (* b (* b a)) (* b (* a a)))))
(/ (exp (* b eps)) (- (exp (* b eps)) 1))

Outputs
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 b a) (+.f64 b a))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (/.f64 (-.f64 b a) (.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 (-.f64 b a) (.f64 b a))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 a (neg.f64 b))) (/.f64 (+.f64 b a) (.f64 a (neg.f64 b))))
(-.f64 (/.f64 (/.f64 (.f64 b b) (-.f64 b a)) (.f64 b a)) (/.f64 (/.f64 (.f64 a a) (-.f64 b a)) (.f64 b a)))
(-.f64 (/.f64 (.f64 b b) (.f64 (.f64 b a) (-.f64 b a))) (/.f64 (.f64 a a) (.f64 (.f64 b a) (-.f64 b a))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(fma.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b))
(fma.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(fma.f64 (pow.f64 b #s(literal -1/2 binary64)) (pow.f64 b #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a))
(fma.f64 (pow.f64 a #s(literal -1/2 binary64)) (pow.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) b))
(neg.f64 (/.f64 (+.f64 b a) (*.f64 a (neg.f64 b))))
(neg.f64 (/.f64 (neg.f64 (+.f64 b a)) (*.f64 b a)))
(/.f64 (+.f64 b a) (*.f64 b a))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) (+.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b a) (+.f64 b a)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (+.f64 b a) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 #s(literal 1 binary64) (.f64 b a)))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal 1 binary64) (.f64 b (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 b a) (+.f64 b a)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b a) (+.f64 b a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 b a) (+.f64 b a)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (/.f64 (+.f64 b a) b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 #s(literal 1 binary64) (.f64 b a)))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal 1 binary64) (.f64 b (*.f64 b b)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 b b))))))
(/.f64 (neg.f64 (+.f64 b a)) (*.f64 a (neg.f64 b)))
(/.f64 (/.f64 (+.f64 b a) b) a)
(/.f64 (/.f64 (+.f64 b a) a) b)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b)))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b a)))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b)))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) a)))
(/.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (.f64 b a) (fma.f64 a (-.f64 a b) (.f64 b b))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (.f64 b b))) (/.f64 (-.f64 b a) (*.f64 b a)))
(/.f64 (.f64 (+.f64 b a) (-.f64 b a)) (.f64 (*.f64 b a) (-.f64 b a)))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 b) (.f64 a #s(literal -1 binary64))) (.f64 a (neg.f64 b)))
(/.f64 (+.f64 (neg.f64 b) (.f64 (neg.f64 a) #s(literal 1 binary64))) (.f64 a (neg.f64 b)))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 b) (.f64 (neg.f64 a) #s(literal -1 binary64))) (.f64 (neg.f64 a) (neg.f64 b)))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 a) (.f64 b #s(literal -1 binary64))) (.f64 a (neg.f64 b)))
(/.f64 (+.f64 (neg.f64 a) (.f64 (neg.f64 b) #s(literal 1 binary64))) (.f64 a (neg.f64 b)))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 a) (.f64 (neg.f64 b) #s(literal -1 binary64))) (.f64 (neg.f64 b) (neg.f64 a)))
(/.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) #s(literal 1 binary64)) (.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) (*.f64 b a)))
(/.f64 (.f64 (.f64 (+.f64 b a) (-.f64 b a)) #s(literal 1 binary64)) (.f64 (-.f64 b a) (.f64 b a)))
(/.f64 (neg.f64 (neg.f64 (+.f64 b a))) (neg.f64 (*.f64 a (neg.f64 b))))
(/.f64 (neg.f64 (/.f64 (+.f64 b a) b)) (neg.f64 a))
(/.f64 (neg.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a)))) (neg.f64 (.f64 (.f64 b a) (fma.f64 a (-.f64 a b) (.f64 b b)))))
(/.f64 (neg.f64 (.f64 (+.f64 b a) (-.f64 b a))) (neg.f64 (.f64 (*.f64 b a) (-.f64 b a))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b))))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b a))))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b))))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) a))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (.f64 b b)))) (neg.f64 (/.f64 (-.f64 b a) (*.f64 b a))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 #s(literal 1 binary64) (.f64 a a))) (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))
(/.f64 (.f64 (+.f64 b a) #s(literal 1 binary64)) (.f64 b a))
(/.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (/.f64 #s(literal 1 binary64) (.f64 b a))) (fma.f64 a (-.f64 a b) (.f64 b b)))
(/.f64 (.f64 (.f64 (+.f64 b a) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (-.f64 b a))
(/.f64 (neg.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) (*.f64 b a))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 b a) (-.f64 b a)) #s(literal 1 binary64))) (neg.f64 (.f64 (-.f64 b a) (.f64 b a))))
(/.f64 (neg.f64 (.f64 (+.f64 b a) #s(literal 1 binary64))) (.f64 a (neg.f64 b)))
(/.f64 (neg.f64 (/.f64 (+.f64 b a) a)) (neg.f64 b))
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 b) (.f64 a #s(literal -1 binary64)))) (neg.f64 (.f64 a (neg.f64 b))))
(/.f64 (neg.f64 (+.f64 (neg.f64 b) (.f64 (neg.f64 a) #s(literal 1 binary64)))) (neg.f64 (.f64 a (neg.f64 b))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 b) (.f64 (neg.f64 a) #s(literal -1 binary64)))) (neg.f64 (.f64 (neg.f64 a) (neg.f64 b))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 a) (.f64 b #s(literal -1 binary64)))) (neg.f64 (.f64 a (neg.f64 b))))
(/.f64 (neg.f64 (+.f64 (neg.f64 a) (.f64 (neg.f64 b) #s(literal 1 binary64)))) (neg.f64 (.f64 a (neg.f64 b))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 a) (.f64 (neg.f64 b) #s(literal -1 binary64)))) (neg.f64 (.f64 (neg.f64 b) (neg.f64 a))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 b a)))) (neg.f64 (neg.f64 (*.f64 a (neg.f64 b)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 b a) b))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b)))))) (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b a)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (.f64 b b))))) (neg.f64 (neg.f64 (/.f64 (-.f64 b a) (*.f64 b a)))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 #s(literal 1 binary64) (.f64 a a)))) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))
(/.f64 (neg.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (/.f64 #s(literal 1 binary64) (.f64 b a)))) (neg.f64 (fma.f64 a (-.f64 a b) (.f64 b b))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 b a) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a)))) (neg.f64 (-.f64 b a)))
(pow.f64 (/.f64 (*.f64 b a) (+.f64 b a)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 b a) (+.f64 b a)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 a (/.f64 (+.f64 b a) b)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 #s(literal 1 binary64) (.f64 b a)))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal 1 binary64) (.f64 b (*.f64 b b))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64))
(.f64 (+.f64 b a) (/.f64 #s(literal 1 binary64) (.f64 b a)))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 b a) (.f64 b a)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (+.f64 b a) b))
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (+.f64 b a) a))
(.f64 (neg.f64 (+.f64 b a)) (/.f64 #s(literal 1 binary64) (.f64 a (neg.f64 b))))
(*.f64 (/.f64 (+.f64 b a) b) (/.f64 #s(literal 1 binary64) a))
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 #s(literal 1 binary64) (.f64 b a))))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) #s(literal -1 binary64)))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (.f64 b b))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (.f64 b a))))
(.f64 (pow.f64 (/.f64 (.f64 b a) (fma.f64 b (.f64 b b) (.f64 a (.f64 a a)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (.f64 b b))))
(.f64 (pow.f64 (/.f64 (.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 b a)))
(+.f64 b a)
(+.f64 a b)
(exp.f64 (*.f64 (log.f64 (+.f64 b a)) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 b b) (-.f64 b a)) (/.f64 (.f64 a a) (-.f64 b a)))
(-.f64 (/.f64 (.f64 a a) (-.f64 a b)) (/.f64 (.f64 b b) (-.f64 a b)))
(fma.f64 b #s(literal 1 binary64) a)
(fma.f64 a #s(literal 1 binary64) b)
(fma.f64 #s(literal 1 binary64) b a)
(fma.f64 #s(literal 1 binary64) a b)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) (fma.f64 b (.f64 b b) (.f64 a (.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a)))))
(/.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (fma.f64 a (-.f64 a b) (.f64 b b)))
(/.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (fma.f64 a a (-.f64 (.f64 b b) (*.f64 b a))))
(/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (-.f64 b a))
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(/.f64 (neg.f64 (.f64 (.f64 (+.f64 b a) #s(literal -1/2 binary64)) (fma.f64 (.f64 b (.f64 b a)) (.f64 (.f64 b (.f64 b a)) (.f64 b (.f64 b a))) (.f64 (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))))))) (neg.f64 (fma.f64 (.f64 b (.f64 a a)) (-.f64 (.f64 b (.f64 a a)) (.f64 b (.f64 b a))) (.f64 (.f64 b (.f64 b a)) (.f64 b (.f64 b a))))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 b a) #s(literal -1/2 binary64)) (.f64 (.f64 b (.f64 a (+.f64 b a))) (.f64 (.f64 b a) (-.f64 b a))))) (neg.f64 (.f64 (*.f64 b a) (-.f64 b a))))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 b a) (.f64 #s(literal -1/2 binary64) (.f64 b (.f64 b a)))) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 b a) (.f64 b (.f64 (.f64 a a) #s(literal -1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 (+.f64 b a) (.f64 #s(literal -1/2 binary64) (.f64 b (.f64 b a)))) (.f64 (+.f64 b a) (.f64 #s(literal -1/2 binary64) (.f64 b (.f64 b a)))) (-.f64 (.f64 (.f64 (+.f64 b a) (.f64 b (.f64 (.f64 a a) #s(literal -1/2 binary64)))) (.f64 (+.f64 b a) (.f64 b (.f64 (.f64 a a) #s(literal -1/2 binary64))))) (.f64 (.f64 (+.f64 b a) (.f64 #s(literal -1/2 binary64) (.f64 b (.f64 b a)))) (.f64 (+.f64 b a) (.f64 b (.f64 (.f64 a a) #s(literal -1/2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 b (.f64 (.f64 a (+.f64 b a)) #s(literal -1/2 binary64))) b) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 b (.f64 (.f64 a (+.f64 b a)) #s(literal -1/2 binary64))) a) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 b (.f64 (.f64 a (+.f64 b a)) #s(literal -1/2 binary64))) b) (.f64 (.f64 b (.f64 (.f64 a (+.f64 b a)) #s(literal -1/2 binary64))) b) (-.f64 (.f64 (.f64 (.f64 b (.f64 (.f64 a (+.f64 b a)) #s(literal -1/2 binary64))) a) (.f64 (.f64 b (.f64 (.f64 a (+.f64 b a)) #s(literal -1/2 binary64))) a)) (.f64 (.f64 (.f64 b (.f64 (.f64 a (+.f64 b a)) #s(literal -1/2 binary64))) b) (.f64 (.f64 b (.f64 (.f64 a (+.f64 b a)) #s(literal -1/2 binary64))) a)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 b (.f64 (.f64 a (+.f64 b a)) #s(literal -1/2 binary64))) a) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 b (.f64 (.f64 a (+.f64 b a)) #s(literal -1/2 binary64))) b) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 b (.f64 (.f64 a (+.f64 b a)) #s(literal -1/2 binary64))) a) (.f64 (.f64 b (.f64 (.f64 a (+.f64 b a)) #s(literal -1/2 binary64))) a) (-.f64 (.f64 (.f64 (.f64 b (.f64 (.f64 a (+.f64 b a)) #s(literal -1/2 binary64))) b) (.f64 (.f64 b (.f64 (.f64 a (+.f64 b a)) #s(literal -1/2 binary64))) b)) (.f64 (.f64 (.f64 b (.f64 (.f64 a (+.f64 b a)) #s(literal -1/2 binary64))) a) (.f64 (.f64 b (.f64 (.f64 a (+.f64 b a)) #s(literal -1/2 binary64))) b)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (+.f64 b a) #s(literal -1/2 binary64)) (.f64 b (.f64 b a))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (+.f64 b a) #s(literal -1/2 binary64)) (.f64 b (.f64 a a))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (+.f64 b a) #s(literal -1/2 binary64)) (.f64 b (.f64 b a))) (.f64 (.f64 (+.f64 b a) #s(literal -1/2 binary64)) (.f64 b (.f64 b a))) (-.f64 (.f64 (.f64 (.f64 (+.f64 b a) #s(literal -1/2 binary64)) (.f64 b (.f64 a a))) (.f64 (.f64 (+.f64 b a) #s(literal -1/2 binary64)) (.f64 b (.f64 a a)))) (.f64 (.f64 (.f64 (+.f64 b a) #s(literal -1/2 binary64)) (.f64 b (.f64 b a))) (.f64 (.f64 (+.f64 b a) #s(literal -1/2 binary64)) (.f64 b (.f64 a a)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (+.f64 b a) #s(literal -1/2 binary64)) (.f64 b (.f64 a a))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (+.f64 b a) #s(literal -1/2 binary64)) (.f64 b (.f64 b a))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (+.f64 b a) #s(literal -1/2 binary64)) (.f64 b (.f64 a a))) (.f64 (.f64 (+.f64 b a) #s(literal -1/2 binary64)) (.f64 b (.f64 a a))) (-.f64 (.f64 (.f64 (.f64 (+.f64 b a) #s(literal -1/2 binary64)) (.f64 b (.f64 b a))) (.f64 (.f64 (+.f64 b a) #s(literal -1/2 binary64)) (.f64 b (.f64 b a)))) (.f64 (.f64 (.f64 (+.f64 b a) #s(literal -1/2 binary64)) (.f64 b (.f64 a a))) (.f64 (.f64 (+.f64 b a) #s(literal -1/2 binary64)) (.f64 b (.f64 b a)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 b (.f64 b a))) (+.f64 b a)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 b (.f64 (.f64 a a) #s(literal -1/2 binary64))) (+.f64 b a)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 b (.f64 b a))) (+.f64 b a)) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 b (.f64 b a))) (+.f64 b a)) (-.f64 (.f64 (.f64 (.f64 b (.f64 (.f64 a a) #s(literal -1/2 binary64))) (+.f64 b a)) (.f64 (.f64 b (.f64 (.f64 a a) #s(literal -1/2 binary64))) (+.f64 b a))) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 b (.f64 b a))) (+.f64 b a)) (.f64 (.f64 b (.f64 (.f64 a a) #s(literal -1/2 binary64))) (+.f64 b a))))))
(/.f64 (+.f64 (pow.f64 (.f64 b (.f64 b (.f64 (.f64 a (+.f64 b a)) #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 a (.f64 b (.f64 (.f64 a (+.f64 b a)) #s(literal -1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 b (.f64 b (.f64 (.f64 a (+.f64 b a)) #s(literal -1/2 binary64)))) (.f64 b (.f64 b (.f64 (.f64 a (+.f64 b a)) #s(literal -1/2 binary64)))) (-.f64 (.f64 (.f64 a (.f64 b (.f64 (.f64 a (+.f64 b a)) #s(literal -1/2 binary64)))) (.f64 a (.f64 b (.f64 (.f64 a (+.f64 b a)) #s(literal -1/2 binary64))))) (.f64 (.f64 b (.f64 b (.f64 (.f64 a (+.f64 b a)) #s(literal -1/2 binary64)))) (.f64 a (.f64 b (.f64 (.f64 a (+.f64 b a)) #s(literal -1/2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (.f64 a (.f64 b (.f64 (.f64 a (+.f64 b a)) #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 b (.f64 b (.f64 (.f64 a (+.f64 b a)) #s(literal -1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 a (.f64 b (.f64 (.f64 a (+.f64 b a)) #s(literal -1/2 binary64)))) (.f64 a (.f64 b (.f64 (.f64 a (+.f64 b a)) #s(literal -1/2 binary64)))) (-.f64 (.f64 (.f64 b (.f64 b (.f64 (.f64 a (+.f64 b a)) #s(literal -1/2 binary64)))) (.f64 b (.f64 b (.f64 (.f64 a (+.f64 b a)) #s(literal -1/2 binary64))))) (.f64 (.f64 a (.f64 b (.f64 (.f64 a (+.f64 b a)) #s(literal -1/2 binary64)))) (.f64 b (.f64 b (.f64 (.f64 a (+.f64 b a)) #s(literal -1/2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 b (.f64 b a)) (.f64 (+.f64 b a) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 b (.f64 a a)) (.f64 (+.f64 b a) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 b (.f64 b a)) (.f64 (+.f64 b a) #s(literal -1/2 binary64))) (.f64 (.f64 b (.f64 b a)) (.f64 (+.f64 b a) #s(literal -1/2 binary64))) (-.f64 (.f64 (.f64 (.f64 b (.f64 a a)) (.f64 (+.f64 b a) #s(literal -1/2 binary64))) (.f64 (.f64 b (.f64 a a)) (.f64 (+.f64 b a) #s(literal -1/2 binary64)))) (.f64 (.f64 (.f64 b (.f64 b a)) (.f64 (+.f64 b a) #s(literal -1/2 binary64))) (.f64 (.f64 b (.f64 a a)) (.f64 (+.f64 b a) #s(literal -1/2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 b (.f64 a a)) (.f64 (+.f64 b a) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 b (.f64 b a)) (.f64 (+.f64 b a) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 b (.f64 a a)) (.f64 (+.f64 b a) #s(literal -1/2 binary64))) (.f64 (.f64 b (.f64 a a)) (.f64 (+.f64 b a) #s(literal -1/2 binary64))) (-.f64 (.f64 (.f64 (.f64 b (.f64 b a)) (.f64 (+.f64 b a) #s(literal -1/2 binary64))) (.f64 (.f64 b (.f64 b a)) (.f64 (+.f64 b a) #s(literal -1/2 binary64)))) (.f64 (.f64 (.f64 b (.f64 a a)) (.f64 (+.f64 b a) #s(literal -1/2 binary64))) (.f64 (.f64 b (.f64 b a)) (.f64 (+.f64 b a) #s(literal -1/2 binary64)))))))
(.f64 (+.f64 b a) (.f64 b (.f64 (.f64 a (+.f64 b a)) #s(literal -1/2 binary64))))
(.f64 #s(literal -1/2 binary64) (.f64 (.f64 b (.f64 a (+.f64 b a))) (+.f64 b a)))
(.f64 (.f64 b (.f64 a (+.f64 b a))) (.f64 (+.f64 b a) #s(literal -1/2 binary64)))
(.f64 (.f64 b (.f64 (.f64 a (+.f64 b a)) #s(literal -1/2 binary64))) (+.f64 b a))
(.f64 (.f64 (+.f64 b a) #s(literal -1/2 binary64)) (.f64 b (.f64 a (+.f64 b a))))
(.f64 (.f64 (+.f64 b a) (.f64 b (.f64 a (+.f64 b a)))) #s(literal -1/2 binary64))
(.f64 (.f64 (.f64 (+.f64 b a) #s(literal -1/2 binary64)) b) (.f64 a (+.f64 b a)))
(exp.f64 (.f64 (log.f64 (.f64 (expm1.f64 (.f64 b eps)) (exp.f64 (neg.f64 (.f64 b eps))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (expm1.f64 (.f64 b eps)))) (/.f64 (exp.f64 (.f64 b eps)) (neg.f64 (expm1.f64 (*.f64 b eps)))))
(neg.f64 (/.f64 (exp.f64 (.f64 b eps)) (neg.f64 (expm1.f64 (.f64 b eps)))))
(neg.f64 (/.f64 (neg.f64 (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps))))
(/.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 b eps)) (exp.f64 (neg.f64 (*.f64 b eps)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (expm1.f64 (.f64 b eps)) (exp.f64 (neg.f64 (*.f64 b eps)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 (expm1.f64 (.f64 b eps)) (exp.f64 (neg.f64 (*.f64 b eps)))))))
(/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (expm1.f64 (.f64 b eps)) (exp.f64 (neg.f64 (*.f64 b eps))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (expm1.f64 (.f64 b eps)) (exp.f64 (neg.f64 (*.f64 b eps)))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (exp.f64 (.f64 b eps))) (neg.f64 (expm1.f64 (.f64 b eps))))
(/.f64 (neg.f64 (neg.f64 (exp.f64 (.f64 b eps)))) (neg.f64 (neg.f64 (expm1.f64 (.f64 b eps)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (exp.f64 (.f64 b eps))))) (neg.f64 (neg.f64 (neg.f64 (expm1.f64 (.f64 b eps))))))
(pow.f64 (.f64 (expm1.f64 (.f64 b eps)) (exp.f64 (neg.f64 (*.f64 b eps)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (expm1.f64 (.f64 b eps)) (exp.f64 (neg.f64 (*.f64 b eps)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 b eps))))
(.f64 (exp.f64 (.f64 b eps)) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 b eps))))
(.f64 (neg.f64 (exp.f64 (.f64 b eps))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (*.f64 b eps)))))
(.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 b eps))) (exp.f64 (*.f64 b eps)))
(.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 b eps))) (pow.f64 (exp.f64 (neg.f64 (*.f64 b eps))) #s(literal -1 binary64)))
(.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 (.f64 b eps) #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 b (+.f64 eps eps))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 b eps)))))
(.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b (+.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 b eps))))

simplify558.0ms (2.2%)

Memory

-9.6MiB live, 822.5MiB allocated

Algorithm

1×	egg-herbie

Rules

13 232×	`accelerator-lowering-fma.f32`
13 232×	`accelerator-lowering-fma.f64`
5 920×	`-lowering-.f32`
5 920×	`-lowering-.f64`
4 510×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	450	5587
1	1363	5026
2	4418	4738
0	8293	4328

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

Calls

Call 1

Inputs
(/ 1 b)
(/ (+ 1 (/ b a)) b)
(/ (+ 1 (/ b a)) b)
(/ (+ 1 (/ b a)) b)
(/ 1 a)
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(/ 1 a)
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(/ 1 a)
(/ (+ 1 (/ a b)) a)
(/ (+ 1 (/ a b)) a)
(/ (+ 1 (/ a b)) a)
(/ 1 b)
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(/ 1 b)
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
a
(+ a b)
(+ a b)
(+ a b)
b
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
b
(+ a b)
(+ a b)
(+ a b)
a
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ (+ (* -1/2 a) (* 1/2 a)) b)
(/ (+ (* -1/2 a) (* 1/2 a)) b)
(/ (+ (* -1/2 a) (* 1/2 a)) b)
(/ (+ (* -1/2 a) (* 1/2 a)) b)
(/ (+ (* -1/2 a) (* 1/2 a)) b)
(/ (+ (* -1/2 a) (* 1/2 a)) b)
(/ (+ (* -1/2 a) (* 1/2 a)) b)
(/ (+ (* -1/2 a) (* 1/2 a)) b)
(* -1 (/ (+ (* -1/2 a) (* 1/2 a)) b))
(* -1 (/ (+ (* -1/2 a) (* 1/2 a)) b))
(* -1 (/ (+ (* -1/2 a) (* 1/2 a)) b))
(* -1 (/ (+ (* -1/2 a) (* 1/2 a)) b))
(/ (+ (* -1/2 b) (* 1/2 b)) a)
(/ (+ (* -1/2 b) (* 1/2 b)) a)
(/ (+ (* -1/2 b) (* 1/2 b)) a)
(/ (+ (* -1/2 b) (* 1/2 b)) a)
(/ (+ (* -1/2 b) (* 1/2 b)) a)
(/ (+ (* -1/2 b) (* 1/2 b)) a)
(/ (+ (* -1/2 b) (* 1/2 b)) a)
(/ (+ (* -1/2 b) (* 1/2 b)) a)
(* -1 (/ (+ (* -1/2 b) (* 1/2 b)) a))
(* -1 (/ (+ (* -1/2 b) (* 1/2 b)) a))
(* -1 (/ (+ (* -1/2 b) (* 1/2 b)) a))
(* -1 (/ (+ (* -1/2 b) (* 1/2 b)) a))
(* -1/2 (/ a b))
(/ (+ (* -1 b) (* -1/2 a)) b)
(/ (+ (* -1/2 a) (* b (- (* -1/2 (/ b a)) 1))) b)
(/ (+ (* -1/2 a) (* b (- (* -1/2 (/ b a)) 1))) b)
(* -1/2 (/ b a))
(* -1 (* b (+ (* 1/2 (/ 1 a)) (/ 1 b))))
(* b (- (* -1/2 (/ a (pow b 2))) (+ (* 1/2 (/ 1 a)) (/ 1 b))))
(* b (- (* -1/2 (/ a (pow b 2))) (+ (* 1/2 (/ 1 a)) (/ 1 b))))
(* -1/2 (/ b a))
(* -1 (* b (+ (* 1/2 (/ 1 a)) (/ 1 b))))
(* -1 (* b (+ (* -1 (/ (- (* -1/2 (/ a b)) 1) b)) (* 1/2 (/ 1 a)))))
(* -1 (* b (+ (* -1 (/ (- (* -1/2 (/ a b)) 1) b)) (* 1/2 (/ 1 a)))))
(* -1/2 (/ b a))
(/ (+ (* -1 a) (* -1/2 b)) a)
(/ (+ (* -1/2 b) (* a (- (* -1/2 (/ a b)) 1))) a)
(/ (+ (* -1/2 b) (* a (- (* -1/2 (/ a b)) 1))) a)
(* -1/2 (/ a b))
(* -1 (* a (+ (/ 1 a) (* 1/2 (/ 1 b)))))
(* a (- (* -1/2 (/ b (pow a 2))) (+ (/ 1 a) (* 1/2 (/ 1 b)))))
(* a (- (* -1/2 (/ b (pow a 2))) (+ (/ 1 a) (* 1/2 (/ 1 b)))))
(* -1/2 (/ a b))
(* -1 (* a (+ (/ 1 a) (* 1/2 (/ 1 b)))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (/ b a)) 1) a)) (* 1/2 (/ 1 b)))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (/ b a)) 1) a)) (* 1/2 (/ 1 b)))))
(* (pow a 2) b)
(* b (+ (* a b) (pow a 2)))
(* b (+ (* a b) (pow a 2)))
(* b (+ (* a b) (pow a 2)))
(* a (pow b 2))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(* a (pow b 2))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(* a (pow b 2))
(* a (+ (* a b) (pow b 2)))
(* a (+ (* a b) (pow b 2)))
(* a (+ (* a b) (pow b 2)))
(* (pow a 2) b)
(* (pow a 2) (+ b (/ (pow b 2) a)))
(* (pow a 2) (+ b (/ (pow b 2) a)))
(* (pow a 2) (+ b (/ (pow b 2) a)))
(* (pow a 2) b)
(* (pow a 2) (+ b (/ (pow b 2) a)))
(* (pow a 2) (+ b (/ (pow b 2) a)))
(* (pow a 2) (+ b (/ (pow b 2) a)))
(+ (/ 1 a) (/ 1 b))
(+ (* eps (+ (* -1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2)))) (* 1/2 (/ (pow (+ a b) 2) (* a b))))) (+ (/ 1 a) (/ 1 b)))
(+ (* eps (+ (* -1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2)))) (* 1/2 (/ (pow (+ a b) 2) (* a b))))) (+ (/ 1 a) (/ 1 b)))
(+ (* eps (+ (* -1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2)))) (* 1/2 (/ (pow (+ a b) 2) (* a b))))) (+ (/ 1 a) (/ 1 b)))
(* eps (+ (* -1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2)))) (* 1/2 (/ (pow (+ a b) 2) (* a b)))))
(* eps (+ (* -1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2)))) (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (+ (/ 1 (* a eps)) (/ 1 (* b eps))))))
(* eps (+ (* -1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2)))) (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (+ (/ 1 (* a eps)) (/ 1 (* b eps))))))
(* eps (+ (* -1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2)))) (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (+ (/ 1 (* a eps)) (/ 1 (* b eps))))))
(* eps (+ (* -1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2)))) (* 1/2 (/ (pow (+ a b) 2) (* a b)))))
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1
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(/ 1 (* b eps))
(/ (+ (* 1/2 eps) (/ 1 b)) eps)
(/ (+ (* eps (+ 1/2 (* eps (- (* 1/2 b) (+ (* 1/6 b) (* 1/4 b)))))) (/ 1 b)) eps)
(/ (+ (* eps (+ 1/2 (* eps (- (+ (* 1/2 b) (* eps (- (* 1/6 (pow b 2)) (+ (* 1/24 (pow b 2)) (+ (* 1/12 (pow b 2)) (* 1/2 (* b (- (* 1/2 b) (+ (* 1/6 b) (* 1/4 b)))))))))) (+ (* 1/6 b) (* 1/4 b)))))) (/ 1 b)) eps)
(/ (exp (* b eps)) (- (exp (* b eps)) 1))
(/ (exp (* b eps)) (- (exp (* b eps)) 1))
(/ (exp (* b eps)) (- (exp (* b eps)) 1))
(/ (exp (* b eps)) (- (exp (* b eps)) 1))
(/ (exp (* b eps)) (- (exp (* b eps)) 1))
(/ (exp (* b eps)) (- (exp (* b eps)) 1))
(/ (exp (* b eps)) (- (exp (* b eps)) 1))
(/ (exp (* b eps)) (- (exp (* b eps)) 1))

Outputs
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ (+ 1 (/ b a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/ (+ 1 (/ b a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/ (+ 1 (/ b a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ (+ 1 (/ a b)) a)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/ (+ 1 (/ a b)) a)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/ (+ 1 (/ a b)) a)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
a
(+ a b)
(+.f64 b a)
(+ a b)
(+.f64 b a)
(+ a b)
(+.f64 b a)
b
(* b (+ 1 (/ a b)))
(fma.f64 #s(literal 1 binary64) (/.f64 a #s(literal 1 binary64)) b)
(* b (+ 1 (/ a b)))
(fma.f64 #s(literal 1 binary64) (/.f64 a #s(literal 1 binary64)) b)
(* b (+ 1 (/ a b)))
(fma.f64 #s(literal 1 binary64) (/.f64 a #s(literal 1 binary64)) b)
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(neg.f64 (*.f64 b (-.f64 #s(literal -1 binary64) (/.f64 a b))))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(neg.f64 (*.f64 b (-.f64 #s(literal -1 binary64) (/.f64 a b))))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(neg.f64 (*.f64 b (-.f64 #s(literal -1 binary64) (/.f64 a b))))
b
(+ a b)
(+.f64 b a)
(+ a b)
(+.f64 b a)
(+ a b)
(+.f64 b a)
a
(* a (+ 1 (/ b a)))
(fma.f64 #s(literal 1 binary64) (/.f64 b #s(literal 1 binary64)) a)
(* a (+ 1 (/ b a)))
(fma.f64 #s(literal 1 binary64) (/.f64 b #s(literal 1 binary64)) a)
(* a (+ 1 (/ b a)))
(fma.f64 #s(literal 1 binary64) (/.f64 b #s(literal 1 binary64)) a)
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(neg.f64 (*.f64 a (-.f64 #s(literal -1 binary64) (/.f64 b a))))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(neg.f64 (*.f64 a (-.f64 #s(literal -1 binary64) (/.f64 b a))))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(neg.f64 (*.f64 a (-.f64 #s(literal -1 binary64) (/.f64 b a))))
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ (+ (* -1/2 a) (* 1/2 a)) b)
#s(literal 0 binary64)
(/ (+ (* -1/2 a) (* 1/2 a)) b)
#s(literal 0 binary64)
(/ (+ (* -1/2 a) (* 1/2 a)) b)
#s(literal 0 binary64)
(/ (+ (* -1/2 a) (* 1/2 a)) b)
#s(literal 0 binary64)
(/ (+ (* -1/2 a) (* 1/2 a)) b)
#s(literal 0 binary64)
(/ (+ (* -1/2 a) (* 1/2 a)) b)
#s(literal 0 binary64)
(/ (+ (* -1/2 a) (* 1/2 a)) b)
#s(literal 0 binary64)
(/ (+ (* -1/2 a) (* 1/2 a)) b)
#s(literal 0 binary64)
(* -1 (/ (+ (* -1/2 a) (* 1/2 a)) b))
#s(literal 0 binary64)
(* -1 (/ (+ (* -1/2 a) (* 1/2 a)) b))
#s(literal 0 binary64)
(* -1 (/ (+ (* -1/2 a) (* 1/2 a)) b))
#s(literal 0 binary64)
(* -1 (/ (+ (* -1/2 a) (* 1/2 a)) b))
#s(literal 0 binary64)
(/ (+ (* -1/2 b) (* 1/2 b)) a)
#s(literal 0 binary64)
(/ (+ (* -1/2 b) (* 1/2 b)) a)
#s(literal 0 binary64)
(/ (+ (* -1/2 b) (* 1/2 b)) a)
#s(literal 0 binary64)
(/ (+ (* -1/2 b) (* 1/2 b)) a)
#s(literal 0 binary64)
(/ (+ (* -1/2 b) (* 1/2 b)) a)
#s(literal 0 binary64)
(/ (+ (* -1/2 b) (* 1/2 b)) a)
#s(literal 0 binary64)
(/ (+ (* -1/2 b) (* 1/2 b)) a)
#s(literal 0 binary64)
(/ (+ (* -1/2 b) (* 1/2 b)) a)
#s(literal 0 binary64)
(* -1 (/ (+ (* -1/2 b) (* 1/2 b)) a))
#s(literal 0 binary64)
(* -1 (/ (+ (* -1/2 b) (* 1/2 b)) a))
#s(literal 0 binary64)
(* -1 (/ (+ (* -1/2 b) (* 1/2 b)) a))
#s(literal 0 binary64)
(* -1 (/ (+ (* -1/2 b) (* 1/2 b)) a))
#s(literal 0 binary64)
(* -1/2 (/ a b))
(/.f64 (*.f64 a #s(literal -1/2 binary64)) b)
(/ (+ (* -1 b) (* -1/2 a)) b)
(fma.f64 a (/.f64 #s(literal -1/2 binary64) b) #s(literal -1 binary64))
(/ (+ (* -1/2 a) (* b (- (* -1/2 (/ b a)) 1))) b)
(/.f64 (fma.f64 b (fma.f64 b (/.f64 #s(literal -1/2 binary64) a) #s(literal -1 binary64)) (*.f64 a #s(literal -1/2 binary64))) b)
(/ (+ (* -1/2 a) (* b (- (* -1/2 (/ b a)) 1))) b)
(/.f64 (fma.f64 b (fma.f64 b (/.f64 #s(literal -1/2 binary64) a) #s(literal -1 binary64)) (*.f64 a #s(literal -1/2 binary64))) b)
(* -1/2 (/ b a))
(/.f64 (*.f64 b #s(literal -1/2 binary64)) a)
(* -1 (* b (+ (* 1/2 (/ 1 a)) (/ 1 b))))
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) #s(literal -1 binary64))
(* b (- (* -1/2 (/ a (pow b 2))) (+ (* 1/2 (/ 1 a)) (/ 1 b))))
(fma.f64 b (.f64 #s(literal -1/2 binary64) (/.f64 a (.f64 b b))) (fma.f64 b (/.f64 #s(literal -1/2 binary64) a) #s(literal -1 binary64)))
(* b (- (* -1/2 (/ a (pow b 2))) (+ (* 1/2 (/ 1 a)) (/ 1 b))))
(fma.f64 b (.f64 #s(literal -1/2 binary64) (/.f64 a (.f64 b b))) (fma.f64 b (/.f64 #s(literal -1/2 binary64) a) #s(literal -1 binary64)))
(* -1/2 (/ b a))
(/.f64 (*.f64 b #s(literal -1/2 binary64)) a)
(* -1 (* b (+ (* 1/2 (/ 1 a)) (/ 1 b))))
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) #s(literal -1 binary64))
(* -1 (* b (+ (* -1 (/ (- (* -1/2 (/ a b)) 1) b)) (* 1/2 (/ 1 a)))))
(*.f64 (neg.f64 b) (-.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (fma.f64 a (/.f64 #s(literal -1/2 binary64) b) #s(literal -1 binary64)) b)))
(* -1 (* b (+ (* -1 (/ (- (* -1/2 (/ a b)) 1) b)) (* 1/2 (/ 1 a)))))
(*.f64 (neg.f64 b) (-.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (fma.f64 a (/.f64 #s(literal -1/2 binary64) b) #s(literal -1 binary64)) b)))
(* -1/2 (/ b a))
(/.f64 (*.f64 b #s(literal -1/2 binary64)) a)
(/ (+ (* -1 a) (* -1/2 b)) a)
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) #s(literal -1 binary64))
(/ (+ (* -1/2 b) (* a (- (* -1/2 (/ a b)) 1))) a)
(/.f64 (fma.f64 a (fma.f64 a (/.f64 #s(literal -1/2 binary64) b) #s(literal -1 binary64)) (*.f64 b #s(literal -1/2 binary64))) a)
(/ (+ (* -1/2 b) (* a (- (* -1/2 (/ a b)) 1))) a)
(/.f64 (fma.f64 a (fma.f64 a (/.f64 #s(literal -1/2 binary64) b) #s(literal -1 binary64)) (*.f64 b #s(literal -1/2 binary64))) a)
(* -1/2 (/ a b))
(/.f64 (*.f64 a #s(literal -1/2 binary64)) b)
(* -1 (* a (+ (/ 1 a) (* 1/2 (/ 1 b)))))
(fma.f64 a (/.f64 #s(literal -1/2 binary64) b) #s(literal -1 binary64))
(* a (- (* -1/2 (/ b (pow a 2))) (+ (/ 1 a) (* 1/2 (/ 1 b)))))
(fma.f64 a (.f64 b (/.f64 #s(literal -1/2 binary64) (.f64 a a))) (fma.f64 a (/.f64 #s(literal -1/2 binary64) b) #s(literal -1 binary64)))
(* a (- (* -1/2 (/ b (pow a 2))) (+ (/ 1 a) (* 1/2 (/ 1 b)))))
(fma.f64 a (.f64 b (/.f64 #s(literal -1/2 binary64) (.f64 a a))) (fma.f64 a (/.f64 #s(literal -1/2 binary64) b) #s(literal -1 binary64)))
(* -1/2 (/ a b))
(/.f64 (*.f64 a #s(literal -1/2 binary64)) b)
(* -1 (* a (+ (/ 1 a) (* 1/2 (/ 1 b)))))
(fma.f64 a (/.f64 #s(literal -1/2 binary64) b) #s(literal -1 binary64))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (/ b a)) 1) a)) (* 1/2 (/ 1 b)))))
(*.f64 (neg.f64 a) (-.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (fma.f64 b (/.f64 #s(literal -1/2 binary64) a) #s(literal -1 binary64)) a)))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (/ b a)) 1) a)) (* 1/2 (/ 1 b)))))
(*.f64 (neg.f64 a) (-.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (fma.f64 b (/.f64 #s(literal -1/2 binary64) a) #s(literal -1 binary64)) a)))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(* b (+ (* a b) (pow a 2)))
(.f64 b (.f64 a (+.f64 b a)))
(* b (+ (* a b) (pow a 2)))
(.f64 b (.f64 a (+.f64 b a)))
(* b (+ (* a b) (pow a 2)))
(.f64 b (.f64 a (+.f64 b a)))
(* a (pow b 2))
(.f64 b (.f64 b a))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(.f64 (.f64 b b) (fma.f64 a (/.f64 a b) a))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(.f64 (.f64 b b) (fma.f64 a (/.f64 a b) a))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(.f64 (.f64 b b) (fma.f64 a (/.f64 a b) a))
(* a (pow b 2))
(.f64 b (.f64 b a))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(.f64 (.f64 b b) (fma.f64 a (/.f64 a b) a))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(.f64 (.f64 b b) (fma.f64 a (/.f64 a b) a))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(.f64 (.f64 b b) (fma.f64 a (/.f64 a b) a))
(* a (pow b 2))
(.f64 b (.f64 b a))
(* a (+ (* a b) (pow b 2)))
(.f64 b (.f64 a (+.f64 b a)))
(* a (+ (* a b) (pow b 2)))
(.f64 b (.f64 a (+.f64 b a)))
(* a (+ (* a b) (pow b 2)))
(.f64 b (.f64 a (+.f64 b a)))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(* (pow a 2) (+ b (/ (pow b 2) a)))
(.f64 (.f64 a a) (fma.f64 b (/.f64 b a) b))
(* (pow a 2) (+ b (/ (pow b 2) a)))
(.f64 (.f64 a a) (fma.f64 b (/.f64 b a) b))
(* (pow a 2) (+ b (/ (pow b 2) a)))
(.f64 (.f64 a a) (fma.f64 b (/.f64 b a) b))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(* (pow a 2) (+ b (/ (pow b 2) a)))
(.f64 (.f64 a a) (fma.f64 b (/.f64 b a) b))
(* (pow a 2) (+ b (/ (pow b 2) a)))
(.f64 (.f64 a a) (fma.f64 b (/.f64 b a) b))
(* (pow a 2) (+ b (/ (pow b 2) a)))
(.f64 (.f64 a a) (fma.f64 b (/.f64 b a) b))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+ (* eps (+ (* -1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2)))) (* 1/2 (/ (pow (+ a b) 2) (* a b))))) (+ (/ 1 a) (/ 1 b)))
(+.f64 (/.f64 #s(literal 1 binary64) b) (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 b a) (.f64 #s(literal 1 binary64) (/.f64 (.f64 a (+.f64 b a)) (.f64 b (.f64 a a)))) (neg.f64 (.f64 (+.f64 b a) (/.f64 (+.f64 b a) (*.f64 b a)))))) (neg.f64 eps) (/.f64 #s(literal 1 binary64) a)))
(+ (* eps (+ (* -1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2)))) (* 1/2 (/ (pow (+ a b) 2) (* a b))))) (+ (/ 1 a) (/ 1 b)))
(+.f64 (/.f64 #s(literal 1 binary64) b) (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 b a) (.f64 #s(literal 1 binary64) (/.f64 (.f64 a (+.f64 b a)) (.f64 b (.f64 a a)))) (neg.f64 (.f64 (+.f64 b a) (/.f64 (+.f64 b a) (*.f64 b a)))))) (neg.f64 eps) (/.f64 #s(literal 1 binary64) a)))
(+ (* eps (+ (* -1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2)))) (* 1/2 (/ (pow (+ a b) 2) (* a b))))) (+ (/ 1 a) (/ 1 b)))
(+.f64 (/.f64 #s(literal 1 binary64) b) (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 b a) (.f64 #s(literal 1 binary64) (/.f64 (.f64 a (+.f64 b a)) (.f64 b (.f64 a a)))) (neg.f64 (.f64 (+.f64 b a) (/.f64 (+.f64 b a) (*.f64 b a)))))) (neg.f64 eps) (/.f64 #s(literal 1 binary64) a)))
(* eps (+ (* -1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2)))) (* 1/2 (/ (pow (+ a b) 2) (* a b)))))
(neg.f64 (.f64 eps (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 b a) (.f64 #s(literal 1 binary64) (/.f64 (.f64 a (+.f64 b a)) (.f64 b (.f64 a a)))) (neg.f64 (.f64 (+.f64 b a) (/.f64 (+.f64 b a) (.f64 b a))))))))
(* eps (+ (* -1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2)))) (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (+ (/ 1 (* a eps)) (/ 1 (* b eps))))))
(.f64 eps (+.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (+.f64 b a)) (.f64 #s(literal 1 binary64) (/.f64 (.f64 a (+.f64 b a)) (.f64 b (.f64 a a)))) (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 b a) (/.f64 (+.f64 b a) (.f64 b a))) (/.f64 #s(literal 1 binary64) (.f64 a eps)))) (/.f64 #s(literal 1 binary64) (.f64 b eps))))
(* eps (+ (* -1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2)))) (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (+ (/ 1 (* a eps)) (/ 1 (* b eps))))))
(.f64 eps (+.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (+.f64 b a)) (.f64 #s(literal 1 binary64) (/.f64 (.f64 a (+.f64 b a)) (.f64 b (.f64 a a)))) (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 b a) (/.f64 (+.f64 b a) (.f64 b a))) (/.f64 #s(literal 1 binary64) (.f64 a eps)))) (/.f64 #s(literal 1 binary64) (.f64 b eps))))
(* eps (+ (* -1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2)))) (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (+ (/ 1 (* a eps)) (/ 1 (* b eps))))))
(.f64 eps (+.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (+.f64 b a)) (.f64 #s(literal 1 binary64) (/.f64 (.f64 a (+.f64 b a)) (.f64 b (.f64 a a)))) (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 b a) (/.f64 (+.f64 b a) (.f64 b a))) (/.f64 #s(literal 1 binary64) (.f64 a eps)))) (/.f64 #s(literal 1 binary64) (.f64 b eps))))
(* eps (+ (* -1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2)))) (* 1/2 (/ (pow (+ a b) 2) (* a b)))))
(neg.f64 (.f64 eps (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 b a) (.f64 #s(literal 1 binary64) (/.f64 (.f64 a (+.f64 b a)) (.f64 b (.f64 a a)))) (neg.f64 (.f64 (+.f64 b a) (/.f64 (+.f64 b a) (.f64 b a))))))))
(* -1 (* eps (+ (* -1 (+ (* -1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2)))) (* 1/2 (/ (pow (+ a b) 2) (* a b))))) (* -1 (/ (+ (/ 1 a) (/ 1 b)) eps)))))
(neg.f64 (.f64 eps (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 b a) (.f64 #s(literal 1 binary64) (/.f64 (.f64 a (+.f64 b a)) (.f64 b (.f64 a a)))) (neg.f64 (.f64 (+.f64 b a) (/.f64 (+.f64 b a) (*.f64 b a))))) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal -1 binary64) b)) eps))))
(* -1 (* eps (+ (* -1 (+ (* -1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2)))) (* 1/2 (/ (pow (+ a b) 2) (* a b))))) (* -1 (/ (+ (/ 1 a) (/ 1 b)) eps)))))
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(+.f64 (/.f64 b a) #s(literal 2 binary64))
(* -1 (* b (- (* -1 (/ (+ 2 (/ a b)) b)) (/ 1 a))))
(*.f64 b (+.f64 (/.f64 (+.f64 (/.f64 a b) #s(literal 2 binary64)) b) (/.f64 #s(literal 1 binary64) a)))
(* -1 (* b (- (* -1 (/ (+ 2 (/ a b)) b)) (/ 1 a))))
(*.f64 b (+.f64 (/.f64 (+.f64 (/.f64 a b) #s(literal 2 binary64)) b) (/.f64 #s(literal 1 binary64) a)))
(/ b a)
(/.f64 b a)
(/ (+ b (* 2 a)) a)
(/.f64 (fma.f64 a #s(literal 2 binary64) b) a)
(/ (+ b (* a (+ 2 (/ a b)))) a)
(/.f64 (fma.f64 a (+.f64 (/.f64 a b) #s(literal 2 binary64)) b) a)
(/ (+ b (* a (+ 2 (/ a b)))) a)
(/.f64 (fma.f64 a (+.f64 (/.f64 a b) #s(literal 2 binary64)) b) a)
(/ a b)
(/.f64 a b)
(* a (+ (* 2 (/ 1 a)) (/ 1 b)))
(+.f64 (/.f64 a b) #s(literal 2 binary64))
(* a (+ (* 2 (/ 1 a)) (+ (/ 1 b) (/ b (pow a 2)))))
(+.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 b (*.f64 a a)) (/.f64 a b)))
(* a (+ (* 2 (/ 1 a)) (+ (/ 1 b) (/ b (pow a 2)))))
(+.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 b (*.f64 a a)) (/.f64 a b)))
(/ a b)
(/.f64 a b)
(* a (+ (* 2 (/ 1 a)) (/ 1 b)))
(+.f64 (/.f64 a b) #s(literal 2 binary64))
(* -1 (* a (- (* -1 (/ (+ 2 (/ b a)) a)) (/ 1 b))))
(*.f64 a (+.f64 (/.f64 (+.f64 (/.f64 b a) #s(literal 2 binary64)) a) (/.f64 #s(literal 1 binary64) b)))
(* -1 (* a (- (* -1 (/ (+ 2 (/ b a)) a)) (/ 1 b))))
(*.f64 a (+.f64 (/.f64 (+.f64 (/.f64 b a) #s(literal 2 binary64)) a) (/.f64 #s(literal 1 binary64) b)))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(* -1/2 (* (pow a 3) b))
(.f64 b (.f64 #s(literal -1/2 binary64) (.f64 a (.f64 a a))))
(* b (+ (* -1 (* (pow a 2) b)) (* -1/2 (pow a 3))))
(.f64 b (.f64 (.f64 a a) (-.f64 (.f64 a #s(literal -1/2 binary64)) b)))
(* b (+ (* -1/2 (pow a 3)) (* b (+ (* -1 (pow a 2)) (* -1/2 (* a b))))))
(.f64 b (fma.f64 (.f64 a a) (-.f64 (.f64 a #s(literal -1/2 binary64)) b) (.f64 b (.f64 b (.f64 a #s(literal -1/2 binary64))))))
(* b (+ (* -1/2 (pow a 3)) (* b (+ (* -1 (pow a 2)) (* -1/2 (* a b))))))
(.f64 b (fma.f64 (.f64 a a) (-.f64 (.f64 a #s(literal -1/2 binary64)) b) (.f64 b (.f64 b (.f64 a #s(literal -1/2 binary64))))))
(* -1/2 (* a (pow b 3)))
(.f64 a (.f64 b (.f64 (.f64 b b) #s(literal -1/2 binary64))))
(* (pow b 3) (+ (* -1 (/ (pow a 2) b)) (* -1/2 a)))
(.f64 (.f64 b (.f64 b b)) (.f64 a (-.f64 #s(literal -1/2 binary64) (/.f64 a b))))
(* (pow b 3) (+ (* -1 (/ (pow a 2) b)) (+ (* -1/2 a) (* -1/2 (/ (pow a 3) (pow b 2))))))
(.f64 (.f64 b (.f64 b b)) (-.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 a a) (/.f64 a (.f64 b b)) a)) (/.f64 (*.f64 a a) b)))
(* (pow b 3) (+ (* -1 (/ (pow a 2) b)) (+ (* -1/2 a) (* -1/2 (/ (pow a 3) (pow b 2))))))
(.f64 (.f64 b (.f64 b b)) (-.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 a a) (/.f64 a (.f64 b b)) a)) (/.f64 (*.f64 a a) b)))
(* -1/2 (* a (pow b 3)))
(.f64 a (.f64 b (.f64 (.f64 b b) #s(literal -1/2 binary64))))
(* -1 (* (pow b 3) (+ (* 1/2 a) (/ (pow a 2) b))))
(.f64 (.f64 b (.f64 b b)) (.f64 a (-.f64 #s(literal -1/2 binary64) (/.f64 a b))))
(* -1 (* (pow b 3) (+ (* -1 (/ (+ (* -1 (pow a 2)) (* -1/2 (/ (pow a 3) b))) b)) (* 1/2 a))))
(.f64 (neg.f64 b) (.f64 (.f64 b b) (-.f64 (.f64 a #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 a (.f64 a a)) b) (*.f64 a (neg.f64 a))) b))))
(* -1 (* (pow b 3) (+ (* -1 (/ (+ (* -1 (pow a 2)) (* -1/2 (/ (pow a 3) b))) b)) (* 1/2 a))))
(.f64 (neg.f64 b) (.f64 (.f64 b b) (-.f64 (.f64 a #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 a (.f64 a a)) b) (*.f64 a (neg.f64 a))) b))))
(* -1/2 (* a (pow b 3)))
(.f64 a (.f64 b (.f64 (.f64 b b) #s(literal -1/2 binary64))))
(* a (+ (* -1 (* a (pow b 2))) (* -1/2 (pow b 3))))
(.f64 (.f64 b b) (.f64 a (-.f64 (.f64 b #s(literal -1/2 binary64)) a)))
(* a (+ (* -1/2 (pow b 3)) (* a (+ (* -1 (pow b 2)) (* -1/2 (* a b))))))
(.f64 a (fma.f64 a (.f64 b (-.f64 (.f64 a #s(literal -1/2 binary64)) b)) (.f64 b (.f64 (.f64 b b) #s(literal -1/2 binary64)))))
(* a (+ (* -1/2 (pow b 3)) (* a (+ (* -1 (pow b 2)) (* -1/2 (* a b))))))
(.f64 a (fma.f64 a (.f64 b (-.f64 (.f64 a #s(literal -1/2 binary64)) b)) (.f64 b (.f64 (.f64 b b) #s(literal -1/2 binary64)))))
(* -1/2 (* (pow a 3) b))
(.f64 b (.f64 #s(literal -1/2 binary64) (.f64 a (.f64 a a))))
(* (pow a 3) (+ (* -1 (/ (pow b 2) a)) (* -1/2 b)))
(.f64 (.f64 a a) (.f64 a (.f64 b (-.f64 #s(literal -1/2 binary64) (/.f64 b a)))))
(* (pow a 3) (+ (* -1 (/ (pow b 2) a)) (+ (* -1/2 b) (* -1/2 (/ (pow b 3) (pow a 2))))))
(.f64 (.f64 a (.f64 a a)) (fma.f64 b (-.f64 #s(literal -1/2 binary64) (/.f64 b a)) (/.f64 (.f64 b (.f64 (.f64 b b) #s(literal -1/2 binary64))) (*.f64 a a))))
(* (pow a 3) (+ (* -1 (/ (pow b 2) a)) (+ (* -1/2 b) (* -1/2 (/ (pow b 3) (pow a 2))))))
(.f64 (.f64 a (.f64 a a)) (fma.f64 b (-.f64 #s(literal -1/2 binary64) (/.f64 b a)) (/.f64 (.f64 b (.f64 (.f64 b b) #s(literal -1/2 binary64))) (*.f64 a a))))
(* -1/2 (* (pow a 3) b))
(.f64 b (.f64 #s(literal -1/2 binary64) (.f64 a (.f64 a a))))
(* -1 (* (pow a 3) (+ (* 1/2 b) (/ (pow b 2) a))))
(.f64 (.f64 a a) (.f64 a (.f64 b (-.f64 #s(literal -1/2 binary64) (/.f64 b a)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (pow b 2)) (* -1/2 (/ (pow b 3) a))) a)) (* 1/2 b))))
(.f64 (-.f64 (.f64 b #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b (.f64 b b)) a) (.f64 b (neg.f64 b))) a)) (neg.f64 (.f64 a (*.f64 a a))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (pow b 2)) (* -1/2 (/ (pow b 3) a))) a)) (* 1/2 b))))
(.f64 (-.f64 (.f64 b #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b (.f64 b b)) a) (.f64 b (neg.f64 b))) a)) (neg.f64 (.f64 a (*.f64 a a))))
(/ 1 (* b eps))
(/.f64 #s(literal 1 binary64) (*.f64 b eps))
(/ (+ (* 1/2 b) (/ 1 eps)) b)
(/.f64 (fma.f64 b #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps)) b)
(/ (+ (* b (+ 1/2 (* b (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps)))))) (/ 1 eps)) b)
(/.f64 (fma.f64 b (fma.f64 b (*.f64 eps #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) eps)) b)
(/ (+ (* b (+ 1/2 (* b (- (+ (* 1/2 eps) (* b (- (* 1/6 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (+ (* 1/12 (pow eps 2)) (* 1/2 (* eps (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps)))))))))) (+ (* 1/6 eps) (* 1/4 eps)))))) (/ 1 eps)) b)
(/.f64 (fma.f64 b (fma.f64 b (fma.f64 b (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/12 binary64))))) (*.f64 eps #s(literal 1/12 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) eps)) b)
(/ (exp (* b eps)) (- (exp (* b eps)) 1))
(/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))
(/ (exp (* b eps)) (- (exp (* b eps)) 1))
(/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))
(/ (exp (* b eps)) (- (exp (* b eps)) 1))
(/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))
(/ (exp (* b eps)) (- (exp (* b eps)) 1))
(/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))
(/ (exp (* b eps)) (- (exp (* b eps)) 1))
(/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))
(/ (exp (* b eps)) (- (exp (* b eps)) 1))
(/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))
(/ (exp (* b eps)) (- (exp (* b eps)) 1))
(/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))
(/ (exp (* b eps)) (- (exp (* b eps)) 1))
(/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))
(/ 1 (* b eps))
(/.f64 #s(literal 1 binary64) (*.f64 b eps))
(/ (+ (* 1/2 eps) (/ 1 b)) eps)
(/.f64 (fma.f64 #s(literal 1/2 binary64) eps (/.f64 #s(literal 1 binary64) b)) eps)
(/ (+ (* eps (+ 1/2 (* eps (- (* 1/2 b) (+ (* 1/6 b) (* 1/4 b)))))) (/ 1 b)) eps)
(/.f64 (fma.f64 eps (fma.f64 eps (*.f64 b #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) b)) eps)
(/ (+ (* eps (+ 1/2 (* eps (- (+ (* 1/2 b) (* eps (- (* 1/6 (pow b 2)) (+ (* 1/24 (pow b 2)) (+ (* 1/12 (pow b 2)) (* 1/2 (* b (- (* 1/2 b) (+ (* 1/6 b) (* 1/4 b)))))))))) (+ (* 1/6 b) (* 1/4 b)))))) (/ 1 b)) eps)
(/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 b (.f64 b #s(literal 1/24 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 b (.f64 b #s(literal 1/12 binary64))))) (*.f64 b #s(literal 1/12 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) b)) eps)
(/ (exp (* b eps)) (- (exp (* b eps)) 1))
(/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))
(/ (exp (* b eps)) (- (exp (* b eps)) 1))
(/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))
(/ (exp (* b eps)) (- (exp (* b eps)) 1))
(/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))
(/ (exp (* b eps)) (- (exp (* b eps)) 1))
(/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))
(/ (exp (* b eps)) (- (exp (* b eps)) 1))
(/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))
(/ (exp (* b eps)) (- (exp (* b eps)) 1))
(/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))
(/ (exp (* b eps)) (- (exp (* b eps)) 1))
(/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))
(/ (exp (* b eps)) (- (exp (* b eps)) 1))
(/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))

eval239.0ms (0.9%)

Memory: 30.9MiB live, 498.1MiB allocated
Compiler: Compiled 56 277 to 3 387 computations (94% saved)

prune133.0ms (0.5%)

Memory

8.7MiB live, 325.0MiB allocated

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	1 387	4	1 391
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	1 390	7	1 397

Accuracy

100.0%

Counts

1 397 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	59.6%	(/.f64 (+.f64 b a) (*.f64 b a))
▶	99.8%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
▶	32.3%	(/.f64 b (*.f64 b a))
▶	28.6%	(/.f64 a (*.f64 b a))
✓	45.9%	(/.f64 #s(literal 1 binary64) b)
✓	53.4%	(/.f64 #s(literal 1 binary64) a)
▶	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))

Compiler

Compiled 58 to 40 computations (31% saved)

simplify6.0ms (0%)

Memory

-30.7MiB live, 7.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 b a)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 b a))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
✓	cost-diff	0	(*.f64 b a)
✓	cost-diff	320	(/.f64 b (*.f64 b a))
✓	cost-diff	0	(*.f64 b a)
✓	cost-diff	320	(/.f64 a (*.f64 b a))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) a)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) b)
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))

Rules

18×	`/-lowering-/.f32`
18×	`/-lowering-/.f64`
8×	`+-lowering-+.f64`
8×	`+-lowering-+.f32`
8×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	50
1	21	50
2	24	50
3	24	50
0	24	50

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (/ 1 b) (/ 1 a))
(/ 1 b)
1
b
(/ 1 a)
a
(/ a (* b a))
a
(* b a)
b
(/ b (* b a))
b
(* b a)
a
(/ (+ 1 (/ b a)) b)
(+ 1 (/ b a))
1
(/ b a)
b
a

Outputs
(+ (/ 1 b) (/ 1 a))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
1
#s(literal 1 binary64)
b
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
a
(/ a (* b a))
(/.f64 #s(literal 1 binary64) b)
a
(* b a)
(*.f64 b a)
b
(/ b (* b a))
(/.f64 #s(literal 1 binary64) a)
b
(* b a)
(*.f64 b a)
a
(/ (+ 1 (/ b a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(+ 1 (/ b a))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
1
#s(literal 1 binary64)
(/ b a)
(/.f64 b a)
b
a

localize44.0ms (0.2%)

Memory

33.7MiB live, 72.2MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 b a)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 b a))
✓	accuracy	99.8%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
✓	accuracy	100.0%	(*.f64 b a)
✓	accuracy	59.2%	(/.f64 b (*.f64 b a))
✓	accuracy	100.0%	(*.f64 b a)
✓	accuracy	59.1%	(/.f64 a (*.f64 b a))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) b)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) a)
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))

Samples

29.0ms

256×

valid

Compiler

Compiled 56 to 15 computations (73.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-div: 14.0ms (76.1% of total)

ival-add: 2.0ms (10.9% of total)

ival-mult: 2.0ms (10.9% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0%)

Memory

-28.7MiB live, 9.5MiB allocated

Counts

9 → 192

Calls

Call 1

Inputs
#<alt (+ (/ 1 b) (/ 1 a))>
#<alt (/ 1 b)>
#<alt (/ 1 a)>
#<alt (/ a (* b a))>
#<alt (* b a)>
#<alt (/ b (* b a))>
#<alt (/ (+ 1 (/ b a)) b)>
#<alt (+ 1 (/ b a))>
#<alt (/ b a)>

Outputs
#<alt (/ 1 b)>
#<alt (/ (+ 1 (/ b a)) b)>
#<alt (/ (+ 1 (/ b a)) b)>
#<alt (/ (+ 1 (/ b a)) b)>
#<alt (/ 1 a)>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (/ 1 a)>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (/ 1 a)>
#<alt (/ (+ 1 (/ a b)) a)>
#<alt (/ (+ 1 (/ a b)) a)>
#<alt (/ (+ 1 (/ a b)) a)>
#<alt (/ 1 b)>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (/ 1 b)>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 b)>
#<alt (/ (+ 1 (/ b a)) b)>
#<alt (/ (+ 1 (/ b a)) b)>
#<alt (/ (+ 1 (/ b a)) b)>
#<alt (/ 1 a)>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (/ 1 a)>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (/ 1 a)>
#<alt (/ (+ 1 (/ a b)) a)>
#<alt (/ (+ 1 (/ a b)) a)>
#<alt (/ (+ 1 (/ a b)) a)>
#<alt (/ 1 b)>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (/ 1 b)>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt 1>
#<alt (+ 1 (/ b a))>
#<alt (+ 1 (/ b a))>
#<alt (+ 1 (/ b a))>
#<alt (/ b a)>
#<alt (* b (+ (/ 1 a) (/ 1 b)))>
#<alt (* b (+ (/ 1 a) (/ 1 b)))>
#<alt (* b (+ (/ 1 a) (/ 1 b)))>
#<alt (/ b a)>
#<alt (* b (+ (/ 1 a) (/ 1 b)))>
#<alt (* b (+ (/ 1 a) (/ 1 b)))>
#<alt (* b (+ (/ 1 a) (/ 1 b)))>
#<alt (/ b a)>
#<alt (/ (+ a b) a)>
#<alt (/ (+ a b) a)>
#<alt (/ (+ a b) a)>
#<alt 1>
#<alt (+ 1 (/ b a))>
#<alt (+ 1 (/ b a))>
#<alt (+ 1 (/ b a))>
#<alt 1>
#<alt (+ 1 (/ b a))>
#<alt (+ 1 (/ b a))>
#<alt (+ 1 (/ b a))>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>

Calls

48 calls:

Time	Variable		Point	Expression
3.0ms	a	@	0	(/ (+ 1 (/ b a)) b)
0.0ms	b	@	-inf	(/ (+ 1 (/ b a)) b)
0.0ms	a	@	-inf	(/ (+ 1 (/ b a)) b)
0.0ms	b	@	inf	(/ (+ 1 (/ b a)) b)
0.0ms	b	@	0	(/ (+ 1 (/ b a)) b)

rewrite294.0ms (1.1%)

Memory

-12.3MiB live, 436.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 786×	`accelerator-lowering-fma.f32`
5 786×	`accelerator-lowering-fma.f64`
3 790×	`-lowering-.f32`
3 790×	`-lowering-.f64`
3 454×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	82	37
2	759	37
0	8526	37

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 823

Calls

Call 1

Inputs
(+ (/ 1 b) (/ 1 a))
(/ 1 b)
(/ 1 a)
(/ a (* b a))
(* b a)
(/ b (* b a))
(/ (+ 1 (/ b a)) b)
(+ 1 (/ b a))
(/ b a)

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

simplify346.0ms (1.3%)

Memory

12.0MiB live, 536.6MiB allocated

Algorithm

1×	egg-herbie

Rules

10 166×	`accelerator-lowering-fma.f32`
10 166×	`accelerator-lowering-fma.f64`
4 880×	`-lowering-.f32`
4 880×	`-lowering-.f64`
2 982×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	750
1	30	750
2	40	750
3	43	750
4	79	750
5	110	750
6	168	750
7	384	750
8	1357	750
9	3827	750
10	4179	750
11	4539	750
12	5045	750
13	5720	750
14	6395	750
0	8140	750

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

Inputs
(/ 1 b)
(/ (+ 1 (/ b a)) b)
(/ (+ 1 (/ b a)) b)
(/ (+ 1 (/ b a)) b)
(/ 1 a)
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(/ 1 a)
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(/ 1 a)
(/ (+ 1 (/ a b)) a)
(/ (+ 1 (/ a b)) a)
(/ (+ 1 (/ a b)) a)
(/ 1 b)
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(/ 1 b)
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 b)
(/ (+ 1 (/ b a)) b)
(/ (+ 1 (/ b a)) b)
(/ (+ 1 (/ b a)) b)
(/ 1 a)
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(/ 1 a)
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(/ 1 a)
(/ (+ 1 (/ a b)) a)
(/ (+ 1 (/ a b)) a)
(/ (+ 1 (/ a b)) a)
(/ 1 b)
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(/ 1 b)
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
1
(+ 1 (/ b a))
(+ 1 (/ b a))
(+ 1 (/ b a))
(/ b a)
(* b (+ (/ 1 a) (/ 1 b)))
(* b (+ (/ 1 a) (/ 1 b)))
(* b (+ (/ 1 a) (/ 1 b)))
(/ b a)
(* b (+ (/ 1 a) (/ 1 b)))
(* b (+ (/ 1 a) (/ 1 b)))
(* b (+ (/ 1 a) (/ 1 b)))
(/ b a)
(/ (+ a b) a)
(/ (+ a b) a)
(/ (+ a b) a)
1
(+ 1 (/ b a))
(+ 1 (/ b a))
(+ 1 (/ b a))
1
(+ 1 (/ b a))
(+ 1 (/ b a))
(+ 1 (/ b a))
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)

Outputs
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ (+ 1 (/ b a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/ (+ 1 (/ b a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/ (+ 1 (/ b a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(+ (/ 1 a) (/ 1 b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(+ (/ 1 a) (/ 1 b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(+ (/ 1 a) (/ 1 b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(+ (/ 1 a) (/ 1 b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(+ (/ 1 a) (/ 1 b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(+ (/ 1 a) (/ 1 b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ (+ 1 (/ a b)) a)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/ (+ 1 (/ a b)) a)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/ (+ 1 (/ a b)) a)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (/ 1 a) (/ 1 b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(+ (/ 1 a) (/ 1 b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(+ (/ 1 a) (/ 1 b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (/ 1 a) (/ 1 b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(+ (/ 1 a) (/ 1 b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(+ (/ 1 a) (/ 1 b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ (+ 1 (/ b a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/ (+ 1 (/ b a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/ (+ 1 (/ b a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(+ (/ 1 a) (/ 1 b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(+ (/ 1 a) (/ 1 b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(+ (/ 1 a) (/ 1 b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(+ (/ 1 a) (/ 1 b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(+ (/ 1 a) (/ 1 b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(+ (/ 1 a) (/ 1 b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ (+ 1 (/ a b)) a)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/ (+ 1 (/ a b)) a)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/ (+ 1 (/ a b)) a)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (/ 1 a) (/ 1 b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(+ (/ 1 a) (/ 1 b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(+ (/ 1 a) (/ 1 b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (/ 1 a) (/ 1 b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(+ (/ 1 a) (/ 1 b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(+ (/ 1 a) (/ 1 b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
1
#s(literal 1 binary64)
(+ 1 (/ b a))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(+ 1 (/ b a))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(+ 1 (/ b a))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(/ b a)
(/.f64 b a)
(* b (+ (/ 1 a) (/ 1 b)))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(* b (+ (/ 1 a) (/ 1 b)))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(* b (+ (/ 1 a) (/ 1 b)))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(/ b a)
(/.f64 b a)
(* b (+ (/ 1 a) (/ 1 b)))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(* b (+ (/ 1 a) (/ 1 b)))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(* b (+ (/ 1 a) (/ 1 b)))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(/ b a)
(/.f64 b a)
(/ (+ a b) a)
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(/ (+ a b) a)
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(/ (+ a b) a)
(+.f64 #s(literal 1 binary64) (/.f64 b a))
1
#s(literal 1 binary64)
(+ 1 (/ b a))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(+ 1 (/ b a))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(+ 1 (/ b a))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
1
#s(literal 1 binary64)
(+ 1 (/ b a))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(+ 1 (/ b a))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(+ 1 (/ b a))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)

eval128.0ms (0.5%)

Memory: 30.1MiB live, 287.2MiB allocated
Compiler: Compiled 15 905 to 1 133 computations (92.9% saved)

prune93.0ms (0.4%)

Memory

-0.4MiB live, 249.5MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	1 059	0	1 059
Fresh	0	0	0
Picked	0	4	4
Done	0	3	3
Total	1 059	7	1 066

Accuracy

100.0%

Counts

1 066 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	59.6%	(/.f64 (+.f64 b a) (*.f64 b a))
✓	99.8%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
✓	32.3%	(/.f64 b (*.f64 b a))
✓	28.6%	(/.f64 a (*.f64 b a))
✓	45.9%	(/.f64 #s(literal 1 binary64) b)
✓	53.4%	(/.f64 #s(literal 1 binary64) a)
✓	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))

Compiler

Compiled 204 to 96 computations (52.9% saved)

regimes16.0ms (0.1%)

Memory

6.2MiB live, 45.2MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) b)
(/.f64 a (*.f64 b a))
(/.f64 b (*.f64 b a))
(/.f64 (+.f64 b a) (*.f64 b a))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(fma.f64 eps (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 b a) (+.f64 b a)) (.f64 b a)) (/.f64 (.f64 (+.f64 b a) (.f64 #s(literal -1/2 binary64) (fma.f64 b (.f64 b a) (.f64 b (.f64 a a))))) (.f64 b (.f64 b (.f64 a a))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (fma.f64 a (.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 b eps))) #s(literal -1/2 binary64))) #s(literal 1 binary64)) a)
(/.f64 (fma.f64 b (.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps a))) #s(literal -1/2 binary64))) #s(literal 1 binary64)) b)
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))

Outputs
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))

Calls

4 calls:

4.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
4.0ms	a
4.0ms	eps
4.0ms	b

Results

Accuracy	Segments	Branch
100.0%	1	`a`
100.0%	1	`b`
100.0%	1	`eps`
100.0%	1	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes11.0ms (0%)

Memory

-12.3MiB live, 27.6MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) b)
(/.f64 a (*.f64 b a))
(/.f64 b (*.f64 b a))
(/.f64 (+.f64 b a) (*.f64 b a))

Outputs
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) a)

Calls

4 calls:

3.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
2.0ms	eps
2.0ms	a
2.0ms	b

Results

Accuracy	Segments	Branch
83.7%	2	`a`
81.2%	2	`b`
70.7%	2	`eps`
59.6%	1	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes7.0ms (0%)

Memory

-21.6MiB live, 16.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) a)

Outputs
(/.f64 #s(literal 1 binary64) a)

Calls

4 calls:

2.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
1.0ms	a
1.0ms	b
1.0ms	eps

Results

Accuracy	Segments	Branch
53.4%	1	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`
53.4%	1	`eps`
53.4%	1	`b`
53.4%	1	`a`

Compiler

Compiled 39 to 26 computations (33.3% saved)

bsearch10.0ms (0%)

Memory

24.4MiB live, 24.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	-6.232158227193505e-170	-2.419613925282323e-170

Samples

6.0ms

80×

valid

Compiler

Compiled 100 to 79 computations (21% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 2.0ms (45.3% of total)

ival-expm1: 1.0ms (22.7% of total)

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

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

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

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

simplify8.0ms (0%)

Memory

-19.0MiB live, 19.2MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	13	20

Stop Event

1×

saturated

Calls

Call 1

Inputs

(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))

(if (<=.f64 a #s(literal -8430222221987727/135971326161092377264534580877431968596375838138120172339057699379303311324378174141225600579898697131235668348479104259928724310439093053288837114564246362097620805333860664072122400768 binary64)) (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))

(/.f64 #s(literal 1 binary64) a)

Outputs

(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))

(if (<=.f64 a #s(literal -8430222221987727/135971326161092377264534580877431968596375838138120172339057699379303311324378174141225600579898697131235668348479104259928724310439093053288837114564246362097620805333860664072122400768 binary64)) (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))

(/.f64 #s(literal 1 binary64) a)

soundness303.0ms (1.2%)

Memory

12.3MiB live, 360.0MiB allocated

Rules

9 330×	`accelerator-lowering-fma.f32`
9 330×	`accelerator-lowering-fma.f64`
7 346×	`-lowering-.f32`
7 346×	`-lowering-.f64`
5 096×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	336	2612
1	1079	2564
2	3419	2564
0	8500	2144
0	35	239
1	256	229
2	2765	223
0	9357	208

Stop Event

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

Compiler

Compiled 61 to 38 computations (37.7% saved)

preprocess171.0ms (0.7%)

Memory: 6.6MiB live, 102.3MiB allocated
Remove: (sort a b)
Compiler: Compiled 140 to 82 computations (41.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze157.0ms (0.6%)

sample19.6s (76%)

preprocess459.0ms (1.8%)

explain224.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify252.0ms (1%)

localize55.0ms (0.2%)

series22.0ms (0.1%)

rewrite343.0ms (1.3%)

simplify418.0ms (1.6%)

eval51.0ms (0.2%)

prune61.0ms (0.2%)

simplify408.0ms (1.6%)

localize416.0ms (1.6%)

series134.0ms (0.5%)

rewrite804.0ms (3.1%)

simplify558.0ms (2.2%)

eval239.0ms (0.9%)

prune133.0ms (0.5%)

simplify6.0ms (0%)

localize44.0ms (0.2%)

series8.0ms (0%)

rewrite294.0ms (1.1%)

simplify346.0ms (1.3%)

eval128.0ms (0.5%)

prune93.0ms (0.4%)

regimes16.0ms (0.1%)

regimes11.0ms (0%)

regimes7.0ms (0%)

bsearch10.0ms (0%)

simplify8.0ms (0%)

soundness303.0ms (1.2%)

preprocess171.0ms (0.7%)

end0.0ms (0%)

Profiling