Metrics for expq3 (problem 3.4.2)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze159.0ms (0.6%)

Memory

-2.3MiB live, 201.6MiB 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)

sample20.0s (76.1%)

Memory

154.1MiB live, 19 820.9MiB allocated

Samples

13.1s	63 302×	0	invalid
1.6s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 11.5s

ival-mult: 3.3s (28.7% of total)

ival-expm1: 1.8s (15.9% of total)

const: 1.6s (13.6% of total)

ival-fabs: 1.3s (11.1% of total)

ival-<=: 1.2s (10.8% of total)

ival-div: 978.0ms (8.5% of total)

ival-add: 577.0ms (5% of total)

ival-fmin: 446.0ms (3.9% of total)

ival-and: 207.0ms (1.8% of total)

exact: 48.0ms (0.4% of total)

ival-assert: 30.0ms (0.3% of total)

Bogosity

explain261.0ms (1%)

Memory

19.3MiB live, 492.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
231	0	-	1	(-1.3527412827059486e-51 8.150396225254785e-76 1.9431910498740977e-94)	`(/.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))))`
151	0	-	0	-	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`
115	0	-	0	-	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`
112	1	(-2.5537836194328527e-160 -2.7636767833767357e-115 1.2295449547368547e-164)	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	207	0
↳	`(.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))`	underflow	207
↳	`(*.f64 (+.f64 a b) eps)`	underflow	105
↳	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`	underflow	105
↳	`(*.f64 b eps)`	underflow	141
↳	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	underflow	143
↳	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	underflow	141
↳	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`	underflow	230
↳	`(*.f64 a eps)`	underflow	143
`-.f64`	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`	cancellation	151	0
`-.f64`	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	cancellation	115	0
`-.f64`	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	cancellation	113	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	23	0
↳	`(*.f64 b eps)`	underflow	141
↳	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	underflow	143
↳	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	underflow	141
↳	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`	underflow	230
↳	`(*.f64 a eps)`	underflow	143

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	105
3	100
4	51

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

74.0ms

512×

valid

Compiler

Compiled 229 to 55 computations (76% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-exp: 18.0ms (34.2% of total)

ival-mult: 16.0ms (30.4% of total)

ival-expm1: 10.0ms (19% of total)

ival-add: 4.0ms (7.6% of total)

ival-div: 3.0ms (5.7% of total)

ival-true: 1.0ms (1.9% of total)

exact: 0.0ms (0% of total)

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

preprocess207.0ms (0.8%)

Memory

-19.0MiB live, 150.6MiB allocated

Algorithm

1×	egg-herbie

Rules

4 832×	`lower-fma.f64`
4 832×	`lower-fma.f32`
2 736×	`lower-*.f32`
2 726×	`lower-*.f64`
1 330×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	233
1	250	229
2	708	227
3	2151	224
4	7041	224
0	17	24
0	30	24
1	56	24
2	109	24
3	176	24
4	327	24
5	655	24
6	1264	24
7	3455	24
8	6175	24
9	7511	24
10	7817	24
11	7898	24
12	7928	24
0	8057	18

Stop Event

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

Calls

Call 1

Inputs

(/.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 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))))

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

Symmetry

(sort a b)

Compiler

Compiled 27 to 17 computations (37% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB 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)

simplify138.0ms (0.5%)

Memory

-5.5MiB live, 108.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
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×	`lower-fma.f64`
4 832×	`lower-fma.f32`
2 736×	`lower-*.f32`
2 726×	`lower-*.f64`
1 132×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	99
0	30	99
1	56	99
2	109	99
3	176	99
4	327	99
5	655	99
6	1264	99
7	3455	99
8	6175	99
9	7511	99
10	7817	99
11	7898	99
12	7928	99
0	8057	81

Stop Event

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

Calls

Call 1

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

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

localize70.0ms (0.3%)

Memory

-19.4MiB live, 104.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	24.095995267897756	(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))
accuracy	26.66159619312689	(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))
accuracy	33.75237987622543	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))
accuracy	55.5218917193922	(/.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

52.0ms

256×

valid

Compiler

Compiled 101 to 19 computations (81.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 26.0ms (65.4% of total)

ival-exp: 6.0ms (15.1% of total)

ival-expm1: 4.0ms (10.1% of total)

ival-div: 2.0ms (5% of total)

ival-add: 1.0ms (2.5% 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

25.3MiB live, 25.3MiB allocated

Counts

4 → 120

Calls

Call 1

Inputs
#s(alt (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())

Outputs
#s(alt (- (exp (* b eps)) 1) (taylor 0 a) (#s(alt (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp (* b eps)) (* a (* eps (exp (* b eps))))) 1) (taylor 0 a) (#s(alt (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp (* b eps)) (* a (+ (* 1/2 (* a (* (pow eps 2) (exp (* b eps))))) (* eps (exp (* b eps)))))) 1) (taylor 0 a) (#s(alt (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(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) (taylor 0 a) (#s(alt (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* eps (+ a b))) 1) (taylor inf a) (#s(alt (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* eps (+ a b))) 1) (taylor inf a) (#s(alt (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* eps (+ a b))) 1) (taylor inf a) (#s(alt (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* eps (+ a b))) 1) (taylor inf a) (#s(alt (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* eps (- b (* -1 a)))) 1) (taylor -inf a) (#s(alt (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* eps (- b (* -1 a)))) 1) (taylor -inf a) (#s(alt (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* eps (- b (* -1 a)))) 1) (taylor -inf a) (#s(alt (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* eps (- b (* -1 a)))) 1) (taylor -inf a) (#s(alt (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a eps)) 1) (taylor 0 b) (#s(alt (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp (* a eps)) (* b (* eps (exp (* a eps))))) 1) (taylor 0 b) (#s(alt (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp (* a eps)) (* b (+ (* 1/2 (* b (* (pow eps 2) (exp (* a eps))))) (* eps (exp (* a eps)))))) 1) (taylor 0 b) (#s(alt (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(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) (taylor 0 b) (#s(alt (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* eps (+ a b))) 1) (taylor inf b) (#s(alt (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* eps (+ a b))) 1) (taylor inf b) (#s(alt (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(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) (taylor 0 b) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(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) (taylor 0 b) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (taylor inf b) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (taylor inf b) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (taylor inf b) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (taylor inf b) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (taylor -inf b) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (taylor -inf b) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (taylor -inf b) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (taylor -inf b) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ())

Calls

30 calls:

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

simplify208.0ms (0.8%)

Memory

5.1MiB live, 154.1MiB allocated

Algorithm

1×	egg-herbie

Rules

9 330×	`lower-fma.f64`
9 330×	`lower-fma.f32`
7 346×	`lower-*.f64`
7 346×	`lower-*.f32`
4 214×	`lower-+.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 eps b))
(- (+ (exp (* b eps)) (* a (* eps (exp (* b eps))))) 1)
(fma.f64 (fma.f64 a eps #s(literal 1 binary64)) (exp.f64 (*.f64 eps b)) #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 (.f64 #s(literal 1/2 binary64) a) (.f64 (.f64 (.f64 a eps) eps) (exp.f64 (.f64 eps b))) (.f64 (fma.f64 a eps #s(literal 1 binary64)) (exp.f64 (*.f64 eps b)))) #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)
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(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) a)
(/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps b))) #s(literal 1/2 binary64))) a #s(literal 1 binary64)) 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)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (exp.f64 (.f64 eps b)) (/.f64 (.f64 eps eps) (expm1.f64 (.f64 eps b)))) #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (expm1.f64 (.f64 eps b))) #s(literal 1/2 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) a (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps b))) #s(literal 1/2 binary64)))) a #s(literal 1 binary64)) 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)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (.f64 (exp.f64 (.f64 eps b)) (/.f64 (.f64 (.f64 eps eps) eps) (expm1.f64 (.f64 eps b)))) #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) (.f64 (.f64 eps eps) eps))) (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (expm1.f64 (.f64 eps b))) #s(literal 1/2 binary64)))) (.f64 eps eps) (.f64 (.f64 (fma.f64 (.f64 (exp.f64 (.f64 eps b)) (/.f64 (.f64 eps eps) (expm1.f64 (.f64 eps b)))) #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (expm1.f64 (.f64 eps b))) #s(literal 1/2 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) eps) #s(literal 1/2 binary64)))) a (fma.f64 (.f64 (exp.f64 (.f64 eps b)) (/.f64 (.f64 eps eps) (expm1.f64 (.f64 eps b)))) #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (expm1.f64 (.f64 eps b))) #s(literal 1/2 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))) a (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (expm1.f64 (.f64 eps b))) #s(literal 1/2 binary64)))) a #s(literal 1 binary64)) a)
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 eps b))))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 eps b))))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 eps b))))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 eps b))))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 eps b))))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 eps b))))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 eps b))))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 eps b))))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b)
(/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) 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)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (exp.f64 (.f64 a eps)) (/.f64 (.f64 eps eps) (expm1.f64 (.f64 a eps)))) #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) b (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps))) #s(literal 1/2 binary64)))) b #s(literal 1 binary64)) 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)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (.f64 (exp.f64 (.f64 a eps)) (/.f64 (.f64 (.f64 eps eps) eps) (expm1.f64 (.f64 a eps)))) #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) (.f64 (.f64 eps eps) eps))) (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64)))) (.f64 eps eps) (.f64 (.f64 (fma.f64 (.f64 (exp.f64 (.f64 a eps)) (/.f64 (.f64 eps eps) (expm1.f64 (.f64 a eps)))) #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) eps) #s(literal 1/2 binary64)))) b (fma.f64 (.f64 (exp.f64 (.f64 a eps)) (/.f64 (.f64 eps eps) (expm1.f64 (.f64 a eps)))) #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))) b (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64)))) b #s(literal 1 binary64)) b)
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 eps b))))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 eps b))))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 eps b))))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 eps b))))
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 eps b))))
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 eps b))))
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 eps b))))
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 eps b))))

rewrite209.0ms (0.8%)

Memory

4.1MiB live, 196.3MiB allocated

Rules

5 838×	`lower-*.f32`
5 828×	`lower-*.f64`
4 440×	`lower-/.f32`
4 438×	`lower-/.f64`
3 902×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	44
0	30	44
1	108	44
2	766	44
0	8486	32

Stop Event

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

Counts

4 → 364

Calls

Call 1

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

eval67.0ms (0.3%)

Memory: -1.5MiB live, 87.9MiB allocated
Compiler: Compiled 17 466 to 1 561 computations (91.1% saved)

prune71.0ms (0.3%)

Memory

-17.4MiB live, 145.0MiB 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

97.9%

Counts

485 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	30.5%	(.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (expm1.f64 (.f64 eps b))) (/.f64 eps (expm1.f64 (.f64 eps a))))
▶	18.3%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))
▶	42.9%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b))
▶	63.7%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
▶	46.5%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
▶	52.5%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))

Compiler

Compiled 236 to 128 computations (45.8% saved)

simplify150.0ms (0.6%)

Memory

5.1MiB live, 186.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps))) #s(literal 1/2 binary64)))
cost-diff	0	(fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64))
cost-diff	0	(/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b)
cost-diff	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b))
cost-diff	192	(fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))
cost-diff	512	(fma.f64 (.f64 a b) a (.f64 (*.f64 a b) b))
cost-diff	1280	(/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (*.f64 a b) a) b))
cost-diff	4160	(fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b))))
cost-diff	0	(/.f64 #s(literal 1 binary64) b)
cost-diff	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
cost-diff	0	(/.f64 #s(literal 1 binary64) a)
cost-diff	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
cost-diff	0	(*.f64 a b)
cost-diff	0	(+.f64 a b)
cost-diff	0	(/.f64 (+.f64 a b) (*.f64 a b))
cost-diff	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))

Rules

10 954×	`lower-fma.f32`
10 950×	`lower-fma.f64`
4 032×	`lower-*.f32`
4 014×	`lower-*.f64`
2 586×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	492
0	77	474
1	158	465
2	431	433
3	2016	427
4	5562	403
5	6843	363
6	7639	361
0	8046	341

Stop Event

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

Calls

Call 1

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

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

localize323.0ms (1.2%)

Memory

13.2MiB live, 461.5MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.125	(/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))
accuracy	0.15234375	(/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b)
accuracy	0.16015625	(fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64))
accuracy	36.272258536351394	(.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps))) #s(literal 1/2 binary64)))
accuracy	0.18359375	(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
accuracy	25.118762659456323	(.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (*.f64 a b)))
accuracy	51.07663282622992	(/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (*.f64 a b) a) b))
accuracy	62.33263252363722	(fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b))))
accuracy	0	(/.f64 #s(literal 1 binary64) b)
accuracy	34.22922790154679	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
accuracy	0	(/.f64 #s(literal 1 binary64) a)
accuracy	30.388058272846223	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
accuracy	0	(+.f64 a b)
accuracy	0	(*.f64 a b)
accuracy	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
accuracy	23.210796300374582	(/.f64 (+.f64 a b) (*.f64 a b))

Samples

260.0ms

256×

valid

Compiler

Compiled 444 to 43 computations (90.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 192.0ms

adjust: 68.0ms (35.4% of total)

ival-mult: 62.0ms (32.3% of total)

ival-div: 32.0ms (16.7% of total)

ival-add: 16.0ms (8.3% of total)

ival-expm1: 8.0ms (4.2% of total)

ival-exp: 4.0ms (2.1% of total)

ival-sub: 2.0ms (1% of total)

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

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

exact: 0.0ms (0% of total)

series128.0ms (0.5%)

Memory

2.2MiB live, 74.2MiB allocated

Counts

19 → 516

Calls

Call 1

Inputs
#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (.f64 a b))) (patch #s(approx (/ ( eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 a b) (.f64 a b)) (patch (/.f64 (+.f64 a b) (.f64 a b)) #<representation binary64>) () ())
#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())
#s(alt (.f64 a b) (patch (.f64 a b) #<representation binary64>) () ())
#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) a) (patch (/.f64 #s(literal 1 binary64) a) #<representation binary64>) () ())
#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) b) (patch (/.f64 #s(literal 1 binary64) b) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) (patch (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (patch (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) (patch (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))) (patch (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b)) (patch #s(approx (/ ( eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) (patch (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) (patch (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) (patch (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b))) (patch (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 a b)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 a b)) #<representation binary64>) () ())
#s(alt (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) (patch (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #<representation binary64>) () ())

Outputs
#s(alt (/ (+ a b) (* a b)) (taylor 0 eps) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (.f64 a b))) (patch #s(approx (/ ( eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b))) #<representation binary64>) () ())) ())
#s(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))) (taylor 0 eps) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (.f64 a b))) (patch #s(approx (/ ( eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b))) #<representation binary64>) () ())) ())
#s(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))) (taylor 0 eps) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (.f64 a b))) (patch #s(approx (/ ( eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b))) #<representation binary64>) () ())) ())
#s(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))) (taylor 0 eps) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (.f64 a b))) (patch #s(approx (/ ( eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (taylor inf eps) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (.f64 a b))) (patch #s(approx (/ ( eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (taylor inf eps) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (.f64 a b))) (patch #s(approx (/ ( eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (taylor inf eps) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (.f64 a b))) (patch #s(approx (/ ( eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (taylor inf eps) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (.f64 a b))) (patch #s(approx (/ ( eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (taylor -inf eps) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (.f64 a b))) (patch #s(approx (/ ( eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (taylor -inf eps) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (.f64 a b))) (patch #s(approx (/ ( eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (taylor -inf eps) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (.f64 a b))) (patch #s(approx (/ ( eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (taylor -inf eps) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (.f64 a b))) (patch #s(approx (/ ( eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ 1 a) (taylor 0 a) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (.f64 a b))) (patch #s(approx (/ ( eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) a) (taylor 0 a) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (.f64 a b))) (patch #s(approx (/ ( eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b))) #<representation binary64>) () ())) ())
#s(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) (taylor 0 a) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (.f64 a b))) (patch #s(approx (/ ( eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b))) #<representation binary64>) () ())) ())
#s(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) (taylor 0 a) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (.f64 a b))) (patch #s(approx (/ ( eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (taylor inf a) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (.f64 a b))) (patch #s(approx (/ ( eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (taylor inf a) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (.f64 a b))) (patch #s(approx (/ ( eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (taylor inf a) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (.f64 a b))) (patch #s(approx (/ ( eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (taylor inf a) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (.f64 a b))) (patch #s(approx (/ ( eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (taylor -inf a) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (.f64 a b))) (patch #s(approx (/ ( eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (taylor -inf a) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (.f64 a b))) (patch #s(approx (/ ( eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (taylor -inf a) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (.f64 a b))) (patch #s(approx (/ ( eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (taylor -inf a) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (.f64 a b))) (patch #s(approx (/ ( eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ 1 b) (taylor 0 b) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (.f64 a b))) (patch #s(approx (/ ( eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b) (taylor 0 b) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (.f64 a b))) (patch #s(approx (/ ( eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b))) #<representation binary64>) () ())) ())
#s(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) (taylor 0 b) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (.f64 a b))) (patch #s(approx (/ ( eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b))) #<representation binary64>) () ())) ())
#s(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) (taylor 0 b) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (.f64 a b))) (patch #s(approx (/ ( eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (taylor inf b) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (.f64 a b))) (patch #s(approx (/ ( eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (taylor inf b) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (.f64 a b))) (patch #s(approx (/ ( eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (taylor inf b) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (.f64 a b))) (patch #s(approx (/ ( eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (taylor inf b) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (.f64 a b))) (patch #s(approx (/ ( eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (taylor -inf b) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (.f64 a b))) (patch #s(approx (/ ( eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b))) #<representation binary64>) () ())) ())
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#s(alt (/ (+ (* -1/2 b) (* 1/2 b)) a) (taylor inf a) (#s(alt (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) (patch (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 b) (* 1/2 b)) a) (taylor inf a) (#s(alt (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) (patch (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/2 b) (* 1/2 b)) a)) (taylor -inf a) (#s(alt (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) (patch (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/2 b) (* 1/2 b)) a)) (taylor -inf a) (#s(alt (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) (patch (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/2 b) (* 1/2 b)) a)) (taylor -inf a) (#s(alt (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) (patch (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/2 b) (* 1/2 b)) a)) (taylor -inf a) (#s(alt (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) (patch (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 a) (* 1/2 a)) b) (taylor 0 b) (#s(alt (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) (patch (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 a) (* 1/2 a)) b) (taylor 0 b) (#s(alt (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) (patch (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 a) (* 1/2 a)) b) (taylor 0 b) (#s(alt (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) (patch (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 a) (* 1/2 a)) b) (taylor 0 b) (#s(alt (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) (patch (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 a) (* 1/2 a)) b) (taylor inf b) (#s(alt (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) (patch (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 a) (* 1/2 a)) b) (taylor inf b) (#s(alt (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) (patch (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 a) (* 1/2 a)) b) (taylor inf b) (#s(alt (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) (patch (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 a) (* 1/2 a)) b) (taylor inf b) (#s(alt (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) (patch (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/2 a) (* 1/2 a)) b)) (taylor -inf b) (#s(alt (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) (patch (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/2 a) (* 1/2 a)) b)) (taylor -inf b) (#s(alt (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) (patch (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/2 a) (* 1/2 a)) b)) (taylor -inf b) (#s(alt (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) (patch (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/2 a) (* 1/2 a)) b)) (taylor -inf b) (#s(alt (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) (patch (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 a) (taylor 0 a) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (patch (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1/2 (/ a b)) 1/2) a) (taylor 0 a) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (patch (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1/2 (/ a b)) 1/2) a) (taylor 0 a) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (patch (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1/2 (/ a b)) 1/2) a) (taylor 0 a) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (patch (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 b) (taylor inf a) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (patch (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))) (taylor inf a) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (patch (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))) (taylor inf a) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (patch (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))) (taylor inf a) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (patch (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 b) (taylor -inf a) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (patch (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))) (taylor -inf a) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (patch (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))) (taylor -inf a) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (patch (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))) (taylor -inf a) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (patch (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 b) (taylor 0 b) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (patch (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1/2 (/ b a)) 1/2) b) (taylor 0 b) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (patch (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1/2 (/ b a)) 1/2) b) (taylor 0 b) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (patch (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1/2 (/ b a)) 1/2) b) (taylor 0 b) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (patch (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 a) (taylor inf b) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (patch (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))) (taylor inf b) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (patch (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))) (taylor inf b) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (patch (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))) (taylor inf b) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (patch (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 a) (taylor -inf b) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (patch (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))) (taylor -inf b) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (patch (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))) (taylor -inf b) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (patch (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))) (taylor -inf b) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (patch (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) #<representation binary64>) () ())) ())
#s(alt (* a (pow b 2)) (taylor 0 a) (#s(alt (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) (patch (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* a b) (pow b 2))) (taylor 0 a) (#s(alt (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) (patch (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* a b) (pow b 2))) (taylor 0 a) (#s(alt (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) (patch (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* a b) (pow b 2))) (taylor 0 a) (#s(alt (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) (patch (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor inf a) (#s(alt (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) (patch (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ b (/ (pow b 2) a))) (taylor inf a) (#s(alt (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) (patch (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ b (/ (pow b 2) a))) (taylor inf a) (#s(alt (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) (patch (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ b (/ (pow b 2) a))) (taylor inf a) (#s(alt (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) (patch (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor -inf a) (#s(alt (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) (patch (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ b (/ (pow b 2) a))) (taylor -inf a) (#s(alt (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) (patch (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ b (/ (pow b 2) a))) (taylor -inf a) (#s(alt (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) (patch (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ b (/ (pow b 2) a))) (taylor -inf a) (#s(alt (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) (patch (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor 0 b) (#s(alt (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) (patch (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* a b) (pow a 2))) (taylor 0 b) (#s(alt (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) (patch (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* a b) (pow a 2))) (taylor 0 b) (#s(alt (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) (patch (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* a b) (pow a 2))) (taylor 0 b) (#s(alt (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) (patch (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #<representation binary64>) () ())) ())
#s(alt (* a (pow b 2)) (taylor inf b) (#s(alt (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) (patch (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ a (/ (pow a 2) b))) (taylor inf b) (#s(alt (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) (patch (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ a (/ (pow a 2) b))) (taylor inf b) (#s(alt (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) (patch (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ a (/ (pow a 2) b))) (taylor inf b) (#s(alt (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) (patch (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #<representation binary64>) () ())) ())
#s(alt (* a (pow b 2)) (taylor -inf b) (#s(alt (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) (patch (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ a (/ (pow a 2) b))) (taylor -inf b) (#s(alt (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) (patch (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ a (/ (pow a 2) b))) (taylor -inf b) (#s(alt (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) (patch (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ a (/ (pow a 2) b))) (taylor -inf b) (#s(alt (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) (patch (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* eps (+ (* -1/2 b) (* 1/2 b)))) a) (taylor 0 a) (#s(alt (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))) (patch (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (+ (* eps (+ (* -1/2 b) (* 1/2 b))) (/ a b))) a) (taylor 0 a) (#s(alt (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))) (patch (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (+ (* eps (+ (* -1/2 b) (* 1/2 b))) (/ a b))) a) (taylor 0 a) (#s(alt (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))) (patch (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (+ (* eps (+ (* -1/2 b) (* 1/2 b))) (/ a b))) a) (taylor 0 a) (#s(alt (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))) (patch (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (/ 1 b) (taylor inf a) (#s(alt (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))) (patch (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 a) (+ (/ 1 b) (/ (* eps (+ (* -1/2 b) (* 1/2 b))) a))) (taylor inf a) (#s(alt (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))) (patch (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 a) (+ (/ 1 b) (/ (* eps (+ (* -1/2 b) (* 1/2 b))) a))) (taylor inf a) (#s(alt (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))) (patch (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 a) (+ (/ 1 b) (/ (* eps (+ (* -1/2 b) (* 1/2 b))) a))) (taylor inf a) (#s(alt (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))) (patch (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (/ 1 b) (taylor -inf a) (#s(alt (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))) (patch (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (- (* eps (+ (* -1/2 b) (* 1/2 b))) 1) a)) (/ 1 b)) (taylor -inf a) (#s(alt (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))) (patch (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 a b) a) b)) (+.f64 a b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))) #<representation binary64>) () ())) ())
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#s(alt (+ (* (pow eps 2) (- (+ (* 1/2 a) (* eps (- (+ (* 1/6 (pow a 2)) (* eps (- (* 1/24 (pow a 3)) (+ (* 1/120 (pow a 3)) (+ (* 1/48 (pow a 3)) (+ (* 1/6 (* (pow a 2) (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a))))) (* 1/2 (* a (- (* 1/6 (pow a 2)) (+ (* 1/24 (pow a 2)) (+ (* 1/12 (pow a 2)) (* 1/2 (* a (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))))))))))))))) (+ (* 1/24 (pow a 2)) (+ (* 1/12 (pow a 2)) (* 1/2 (* a (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))))))))) (+ (* 1/6 a) (* 1/4 a)))) (+ (/ 1 a) (/ 1 b))) (taylor 0 eps) (#s(alt (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) (patch (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) (taylor inf eps) (#s(alt (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) (patch (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (* eps (- (+ (/ 1 (* b eps)) (/ (exp (* a eps)) (- (exp (* a eps)) 1))) 1/2)) (taylor inf eps) (#s(alt (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) (patch (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (* eps (- (+ (/ 1 (* b eps)) (/ (exp (* a eps)) (- (exp (* a eps)) 1))) 1/2)) (taylor inf eps) (#s(alt (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) (patch (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (* eps (- (+ (/ 1 (* b eps)) (/ (exp (* a eps)) (- (exp (* a eps)) 1))) 1/2)) (taylor inf eps) (#s(alt (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) (patch (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) (taylor -inf eps) (#s(alt (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) (patch (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (* -1 (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) (/ 1 (* b eps))))) (taylor -inf eps) (#s(alt (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) (patch (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (* -1 (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) (/ 1 (* b eps))))) (taylor -inf eps) (#s(alt (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) (patch (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (* -1 (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) (/ 1 (* b eps))))) (taylor -inf eps) (#s(alt (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) (patch (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (/ 1 a) (taylor 0 a) (#s(alt (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) (patch (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ a b)) a) (taylor 0 a) (#s(alt (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) (patch (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* a (+ (* a (* eps (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps))))) (/ 1 b)))) a) (taylor 0 a) (#s(alt (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) (patch (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* a (+ (* a (+ (* a (* eps (- (* 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)))))))))) (* eps (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps)))))) (/ 1 b)))) a) (taylor 0 a) (#s(alt (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) (patch (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* b (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)))) b) (taylor inf a) (#s(alt (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) (patch (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* b (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)))) b) (taylor inf a) (#s(alt (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) (patch (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* b (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)))) b) (taylor inf a) (#s(alt (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) (patch (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* b (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)))) b) (taylor inf a) (#s(alt (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) (patch (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* b (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)))) b) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) (patch (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* b (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)))) b) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) (patch (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* b (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)))) b) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) (patch (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* b (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)))) b) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) (patch (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (/ 1 b) (taylor 0 b) (#s(alt (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) (patch (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* b (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)))) b) (taylor 0 b) (#s(alt (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) (patch (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* b (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)))) b) (taylor 0 b) (#s(alt (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) (patch (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* b (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)))) b) (taylor 0 b) (#s(alt (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) (patch (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) (taylor inf b) (#s(alt (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) (patch (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (+ (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) (/ 1 b)) (taylor inf b) (#s(alt (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) (patch (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (+ (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) (/ 1 b)) (taylor inf b) (#s(alt (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) (patch (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (+ (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) (/ 1 b)) (taylor inf b) (#s(alt (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) (patch (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) (taylor -inf b) (#s(alt (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) (patch (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (+ (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) (/ 1 b)) (taylor -inf b) (#s(alt (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) (patch (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (+ (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) (/ 1 b)) (taylor -inf b) (#s(alt (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) (patch (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (+ (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) (/ 1 b)) (taylor -inf b) (#s(alt (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) (patch (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ b a)) (taylor 0 eps) (#s(alt (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) (patch (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* b (* (pow eps 2) (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a))))) (/ b a))) (taylor 0 eps) (#s(alt (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) (patch (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* (pow eps 2) (+ (* b (* eps (- (* 1/6 (pow a 2)) (+ (* 1/24 (pow a 2)) (+ (* 1/12 (pow a 2)) (* 1/2 (* a (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))))))))) (* b (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))))) (/ b a))) (taylor 0 eps) (#s(alt (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) (patch (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* (pow eps 2) (+ (* b (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))) (* eps (+ (* b (* eps (- (* 1/24 (pow a 3)) (+ (* 1/120 (pow a 3)) (+ (* 1/48 (pow a 3)) (+ (* 1/6 (* (pow a 2) (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a))))) (* 1/2 (* a (- (* 1/6 (pow a 2)) (+ (* 1/24 (pow a 2)) (+ (* 1/12 (pow a 2)) (* 1/2 (* a (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))))))))))))))) (* b (- (* 1/6 (pow a 2)) (+ (* 1/24 (pow a 2)) (+ (* 1/12 (pow a 2)) (* 1/2 (* a (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a))))))))))))) (/ b a))) (taylor 0 eps) (#s(alt (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) (patch (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* b (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))) (taylor inf eps) (#s(alt (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) (patch (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* b (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) (/ 1 eps))) (taylor inf eps) (#s(alt (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) (patch (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* b (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) (/ 1 eps))) (taylor inf eps) (#s(alt (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) (patch (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* b (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) (/ 1 eps))) (taylor inf eps) (#s(alt (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) (patch (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* b (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))) (taylor -inf eps) (#s(alt (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) (patch (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (* -1 (* b (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))) (/ 1 eps)))) (taylor -inf eps) (#s(alt (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) (patch (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (* -1 (* b (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))) (/ 1 eps)))) (taylor -inf eps) (#s(alt (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) (patch (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (* -1 (* b (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))) (/ 1 eps)))) (taylor -inf eps) (#s(alt (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) (patch (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ b a) (taylor 0 a) (#s(alt (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) (patch (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* b (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)))) (taylor inf a) (#s(alt (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) (patch (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* b (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)))) (taylor inf a) (#s(alt (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) (patch (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* b (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)))) (taylor inf a) (#s(alt (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) (patch (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* b (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)))) (taylor inf a) (#s(alt (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) (patch (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* b (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)))) (taylor -inf a) (#s(alt (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) (patch (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* b (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)))) (taylor -inf a) (#s(alt (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) (patch (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* b (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)))) (taylor -inf a) (#s(alt (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) (patch (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* b (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)))) (taylor -inf a) (#s(alt (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) (patch (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* b (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)))) (taylor 0 b) (#s(alt (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) (patch (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* b (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)))) (taylor 0 b) (#s(alt (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) (patch (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* b (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)))) (taylor 0 b) (#s(alt (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) (patch (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* b (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))) (taylor inf b) (#s(alt (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) (patch (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) (/ 1 b))) (taylor inf b) (#s(alt (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) (patch (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) (/ 1 b))) (taylor inf b) (#s(alt (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) (patch (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) (/ 1 b))) (taylor inf b) (#s(alt (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) (patch (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* b (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))) (taylor -inf b) (#s(alt (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) (patch (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -1 (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))) (/ 1 b)))) (taylor -inf b) (#s(alt (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) (patch (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -1 (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))) (/ 1 b)))) (taylor -inf b) (#s(alt (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) (patch (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -1 (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))) (/ 1 b)))) (taylor -inf b) (#s(alt (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) (patch (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 a) (taylor 0 eps) (#s(alt (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) (patch (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow eps 2) (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))) (/ 1 a)) (taylor 0 eps) (#s(alt (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) (patch (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow eps 2) (- (+ (* 1/2 a) (* eps (- (* 1/6 (pow a 2)) (+ (* 1/24 (pow a 2)) (+ (* 1/12 (pow a 2)) (* 1/2 (* a (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))))))))) (+ (* 1/6 a) (* 1/4 a)))) (/ 1 a)) (taylor 0 eps) (#s(alt (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) (patch (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow eps 2) (- (+ (* 1/2 a) (* eps (- (+ (* 1/6 (pow a 2)) (* eps (- (* 1/24 (pow a 3)) (+ (* 1/120 (pow a 3)) (+ (* 1/48 (pow a 3)) (+ (* 1/6 (* (pow a 2) (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a))))) (* 1/2 (* a (- (* 1/6 (pow a 2)) (+ (* 1/24 (pow a 2)) (+ (* 1/12 (pow a 2)) (* 1/2 (* a (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))))))))))))))) (+ (* 1/24 (pow a 2)) (+ (* 1/12 (pow a 2)) (* 1/2 (* a (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))))))))) (+ (* 1/6 a) (* 1/4 a)))) (/ 1 a)) (taylor 0 eps) (#s(alt (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) (patch (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (/ 1/2 (* a b)) (taylor -inf b) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 a b)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (* a b)) (taylor -inf b) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 a b)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (* a b)) (taylor -inf b) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 a b)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (* a b)) (taylor -inf b) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 a b)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a eps)) (taylor 0 a) (#s(alt (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) (patch (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 a) (/ 1 eps)) a) (taylor 0 a) (#s(alt (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) (patch (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* a (+ 1/2 (* a (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps)))))) (/ 1 eps)) a) (taylor 0 a) (#s(alt (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) (patch (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* a (+ 1/2 (* a (- (+ (* 1/2 eps) (* a (- (* 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)) a) (taylor 0 a) (#s(alt (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) (patch (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #<representation binary64>) () ())) ())
#s(alt (/ (exp (* a eps)) (- (exp (* a eps)) 1)) (taylor inf a) (#s(alt (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) (patch (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #<representation binary64>) () ())) ())
#s(alt (/ (exp (* a eps)) (- (exp (* a eps)) 1)) (taylor inf a) (#s(alt (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) (patch (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #<representation binary64>) () ())) ())
#s(alt (/ (exp (* a eps)) (- (exp (* a eps)) 1)) (taylor inf a) (#s(alt (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) (patch (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #<representation binary64>) () ())) ())
#s(alt (/ (exp (* a eps)) (- (exp (* a eps)) 1)) (taylor inf a) (#s(alt (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) (patch (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #<representation binary64>) () ())) ())
#s(alt (/ (exp (* a eps)) (- (exp (* a eps)) 1)) (taylor -inf a) (#s(alt (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) (patch (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #<representation binary64>) () ())) ())
#s(alt (/ (exp (* a eps)) (- (exp (* a eps)) 1)) (taylor -inf a) (#s(alt (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) (patch (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #<representation binary64>) () ())) ())
#s(alt (/ (exp (* a eps)) (- (exp (* a eps)) 1)) (taylor -inf a) (#s(alt (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) (patch (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #<representation binary64>) () ())) ())
#s(alt (/ (exp (* a eps)) (- (exp (* a eps)) 1)) (taylor -inf a) (#s(alt (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) (patch (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a eps)) (taylor 0 eps) (#s(alt (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) (patch (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 eps) (/ 1 a)) eps) (taylor 0 eps) (#s(alt (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) (patch (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* eps (+ 1/2 (* eps (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))))) (/ 1 a)) eps) (taylor 0 eps) (#s(alt (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) (patch (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* eps (+ 1/2 (* eps (- (+ (* 1/2 a) (* eps (- (* 1/6 (pow a 2)) (+ (* 1/24 (pow a 2)) (+ (* 1/12 (pow a 2)) (* 1/2 (* a (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))))))))) (+ (* 1/6 a) (* 1/4 a)))))) (/ 1 a)) eps) (taylor 0 eps) (#s(alt (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) (patch (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #<representation binary64>) () ())) ())
#s(alt (/ (exp (* a eps)) (- (exp (* a eps)) 1)) (taylor inf eps) (#s(alt (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) (patch (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #<representation binary64>) () ())) ())
#s(alt (/ (exp (* a eps)) (- (exp (* a eps)) 1)) (taylor inf eps) (#s(alt (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) (patch (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #<representation binary64>) () ())) ())
#s(alt (/ (exp (* a eps)) (- (exp (* a eps)) 1)) (taylor inf eps) (#s(alt (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) (patch (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #<representation binary64>) () ())) ())
#s(alt (/ (exp (* a eps)) (- (exp (* a eps)) 1)) (taylor inf eps) (#s(alt (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) (patch (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #<representation binary64>) () ())) ())
#s(alt (/ (exp (* a eps)) (- (exp (* a eps)) 1)) (taylor -inf eps) (#s(alt (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) (patch (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #<representation binary64>) () ())) ())
#s(alt (/ (exp (* a eps)) (- (exp (* a eps)) 1)) (taylor -inf eps) (#s(alt (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) (patch (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #<representation binary64>) () ())) ())
#s(alt (/ (exp (* a eps)) (- (exp (* a eps)) 1)) (taylor -inf eps) (#s(alt (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) (patch (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #<representation binary64>) () ())) ())
#s(alt (/ (exp (* a eps)) (- (exp (* a eps)) 1)) (taylor -inf eps) (#s(alt (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) (patch (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #<representation binary64>) () ())) ())

Calls

129 calls:

Time	Variable		Point	Expression
23.0ms	b	@	inf	(+ (* (/ (* (+ (* (* a b) a) (* (* a b) b)) -1/2) (* (* (* a b) a) b)) (+ a b)) (* (* (+ a b) (+ a b)) (/ 1/2 (* a b))))
3.0ms	a	@	inf	(+ (* (/ (* (+ (* (* a b) a) (* (* a b) b)) -1/2) (* (* (* a b) a) b)) (+ a b)) (* (* (+ a b) (+ a b)) (/ 1/2 (* a b))))
3.0ms	b	@	-inf	(+ (* (/ (* (+ (* (* a b) a) (* (* a b) b)) -1/2) (* (* (* a b) a) b)) (+ a b)) (* (* (+ a b) (+ a b)) (/ 1/2 (* a b))))
3.0ms	a	@	-inf	(+ (* (/ (* (+ (* (* a b) a) (* (* a b) b)) -1/2) (* (* (* a b) a) b)) (+ a b)) (* (* (+ a b) (+ a b)) (/ 1/2 (* a b))))
3.0ms	b	@	0	(/ (+ a b) (* a b))

simplify756.0ms (2.9%)

Memory

8.0MiB live, 237.7MiB allocated

Algorithm

1×	egg-herbie

Rules

7 472×	`lower-fma.f64`
7 472×	`lower-fma.f32`
6 018×	`lower-*.f64`
6 018×	`lower-*.f32`
3 152×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	505	11515
1	1512	10699
2	4934	10640
0	8165	9286

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 510

Calls

Call 1

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

Outputs
(/ (+ 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)))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (+.f64 b a)) (/.f64 (.f64 (.f64 a (+.f64 b a)) b) (.f64 (.f64 (.f64 a a) b) b)) (.f64 (.f64 (+.f64 b a) (/.f64 (+.f64 b a) (*.f64 b a))) #s(literal 1/2 binary64))) eps (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a)))
(+ (* 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)))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (+.f64 b a)) (/.f64 (.f64 (.f64 a (+.f64 b a)) b) (.f64 (.f64 (.f64 a a) b) b)) (fma.f64 (-.f64 (.f64 (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (/.f64 (+.f64 b a) (.f64 b a))) #s(literal 1/6 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 (.f64 b b) b) a (.f64 (.f64 (.f64 a a) a) b)) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 a a) b) b))) (.f64 (.f64 (.f64 a a) b) b)) (+.f64 b a) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (+.f64 b a)) (/.f64 (.f64 (.f64 a (+.f64 b a)) b) (.f64 (.f64 (.f64 a a) b) b)) (.f64 (.f64 (+.f64 b a) (/.f64 (+.f64 b a) (.f64 b a))) #s(literal 1/2 binary64))) (/.f64 (.f64 (.f64 (.f64 a (+.f64 b a)) b) #s(literal 1/2 binary64)) (.f64 b a))))) eps (.f64 (.f64 (+.f64 b a) (/.f64 (+.f64 b a) (*.f64 b a))) #s(literal 1/2 binary64)))) eps (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a)))
(+ (* 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)))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 a (+.f64 b a)) b) (.f64 (.f64 (.f64 a a) b) b))) (+.f64 b a) (fma.f64 (fma.f64 (-.f64 (/.f64 (.f64 (pow.f64 (+.f64 b a) #s(literal 4 binary64)) #s(literal 1/24 binary64)) (.f64 b a)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 b #s(literal 4 binary64)) a (.f64 (pow.f64 a #s(literal 4 binary64)) b)) (.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) b) b (.f64 (.f64 (.f64 (.f64 b b) b) a) a)) #s(literal 1/12 binary64))) (.f64 (.f64 (.f64 a a) b) b)) (+.f64 b a) (fma.f64 (-.f64 (.f64 (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (/.f64 (+.f64 b a) (.f64 b a))) #s(literal 1/6 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 (.f64 b b) b) a (.f64 (.f64 (.f64 a a) a) b)) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 a a) b) b))) (.f64 (.f64 (.f64 a a) b) b)) (+.f64 b a) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (+.f64 b a)) (/.f64 (.f64 (.f64 a (+.f64 b a)) b) (.f64 (.f64 (.f64 a a) b) b)) (.f64 (.f64 (+.f64 b a) (/.f64 (+.f64 b a) (.f64 b a))) #s(literal 1/2 binary64))) (/.f64 (.f64 (.f64 (.f64 a (+.f64 b a)) b) #s(literal 1/2 binary64)) (.f64 b a))))) (/.f64 (.f64 (.f64 (.f64 a (+.f64 b a)) b) #s(literal 1/2 binary64)) (.f64 b a)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (+.f64 b a)) (/.f64 (.f64 (.f64 a (+.f64 b a)) b) (.f64 (.f64 (.f64 a a) b) b)) (.f64 (.f64 (+.f64 b a) (/.f64 (+.f64 b a) (.f64 b a))) #s(literal 1/2 binary64))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 (.f64 b b) b) a (.f64 (.f64 (.f64 a a) a) b)) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 a a) b) b))) (.f64 b a)))))) eps (-.f64 (.f64 (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (/.f64 (+.f64 b a) (.f64 b a))) #s(literal 1/6 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 (.f64 b b) b) a (.f64 (.f64 (.f64 a a) a) b)) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 a a) b) b))) (.f64 (.f64 (.f64 a a) b) b)) (+.f64 b a) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (+.f64 b a)) (/.f64 (.f64 (.f64 a (+.f64 b a)) b) (.f64 (.f64 (.f64 a a) b) b)) (.f64 (.f64 (+.f64 b a) (/.f64 (+.f64 b a) (.f64 b a))) #s(literal 1/2 binary64))) (/.f64 (.f64 (.f64 (.f64 a (+.f64 b a)) b) #s(literal 1/2 binary64)) (.f64 b a)))))) eps (.f64 (.f64 (+.f64 b a) (/.f64 (+.f64 b a) (*.f64 b a))) #s(literal 1/2 binary64)))) eps (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a))))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a))))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a))))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a))))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a))))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a))))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a))))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a))))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) a)
(/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps b))) #s(literal 1/2 binary64))) a #s(literal 1 binary64)) 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)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (/.f64 (exp.f64 (.f64 eps b)) (expm1.f64 (.f64 eps b))) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (expm1.f64 (.f64 eps b))) #s(literal 1/2 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) a (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps b))) #s(literal 1/2 binary64)))) a #s(literal 1 binary64)) 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)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) eps)) (/.f64 (exp.f64 (.f64 eps b)) (expm1.f64 (.f64 eps b))) (.f64 #s(literal -1/24 binary64) (.f64 (.f64 eps eps) eps))) (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (expm1.f64 (.f64 eps b))) #s(literal 1/2 binary64)))) (.f64 eps eps) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (/.f64 (exp.f64 (.f64 eps b)) (expm1.f64 (.f64 eps b))) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (expm1.f64 (.f64 eps b))) #s(literal 1/2 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) eps) #s(literal 1/2 binary64)))) a (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (/.f64 (exp.f64 (.f64 eps b)) (expm1.f64 (.f64 eps b))) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (expm1.f64 (.f64 eps b))) #s(literal 1/2 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))) a (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (expm1.f64 (.f64 eps b))) #s(literal 1/2 binary64)))) a #s(literal 1 binary64)) a)
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a))))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a))))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a))))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a))))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a))))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a))))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a))))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a))))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b)
(/.f64 (fma.f64 (-.f64 (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (.f64 eps a))) #s(literal 1/2 binary64)) (*.f64 eps b) #s(literal 1 binary64)) 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)
(/.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (.f64 eps a))) #s(literal 1/2 binary64)) eps (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (.f64 eps a))) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 (-.f64 (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (.f64 eps a))) #s(literal 1/2 binary64)) eps) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))) b)) b #s(literal 1 binary64)) 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)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) eps)) (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (.f64 eps a))) (.f64 #s(literal -1/24 binary64) (.f64 (.f64 eps eps) eps))) (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 (-.f64 (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (.f64 eps a))) #s(literal 1/2 binary64)) eps)) (.f64 eps eps) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (.f64 eps a))) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 (-.f64 (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (.f64 eps a))) #s(literal 1/2 binary64)) eps) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) eps) #s(literal 1/2 binary64)))) b (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (.f64 eps a))) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 (-.f64 (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (.f64 eps a))) #s(literal 1/2 binary64)) eps) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))) b (.f64 (-.f64 (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (.f64 eps a))) #s(literal 1/2 binary64)) eps)) b #s(literal 1 binary64)) b)
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a))))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a))))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a))))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a))))
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a))))
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(/.f64 (fma.f64 (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) a #s(literal 1/2 binary64)) a (/.f64 #s(literal 1 binary64) eps)) a)
(/ (+ (* a (+ 1/2 (* a (- (+ (* 1/2 eps) (* a (- (* 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)) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) eps) eps (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 eps #s(literal 1/12 binary64)) (.f64 (.f64 eps eps) #s(literal -1/8 binary64)))) a (.f64 eps #s(literal 1/12 binary64))) a #s(literal 1/2 binary64)) a (/.f64 #s(literal 1 binary64) eps)) a)
(/ (exp (* a eps)) (- (exp (* a eps)) 1))
(/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (.f64 eps a)))
(/ (exp (* a eps)) (- (exp (* a eps)) 1))
(/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (.f64 eps a)))
(/ (exp (* a eps)) (- (exp (* a eps)) 1))
(/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (.f64 eps a)))
(/ (exp (* a eps)) (- (exp (* a eps)) 1))
(/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (.f64 eps a)))
(/ (exp (* a eps)) (- (exp (* a eps)) 1))
(/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (.f64 eps a)))
(/ (exp (* a eps)) (- (exp (* a eps)) 1))
(/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (.f64 eps a)))
(/ (exp (* a eps)) (- (exp (* a eps)) 1))
(/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (.f64 eps a)))
(/ (exp (* a eps)) (- (exp (* a eps)) 1))
(/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (.f64 eps a)))
(/ 1 (* a eps))
(/.f64 #s(literal 1 binary64) (*.f64 eps a))
(/ (+ (* 1/2 eps) (/ 1 a)) eps)
(/.f64 (fma.f64 #s(literal 1/2 binary64) eps (/.f64 #s(literal 1 binary64) a)) eps)
(/ (+ (* eps (+ 1/2 (* eps (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))))) (/ 1 a)) eps)
(/.f64 (fma.f64 (fma.f64 (*.f64 a #s(literal 1/12 binary64)) eps #s(literal 1/2 binary64)) eps (/.f64 #s(literal 1 binary64) a)) eps)
(/ (+ (* eps (+ 1/2 (* eps (- (+ (* 1/2 a) (* eps (- (* 1/6 (pow a 2)) (+ (* 1/24 (pow a 2)) (+ (* 1/12 (pow a 2)) (* 1/2 (* a (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))))))))) (+ (* 1/6 a) (* 1/4 a)))))) (/ 1 a)) eps)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) a (fma.f64 (.f64 (.f64 a #s(literal 1/12 binary64)) a) #s(literal -1/2 binary64) (.f64 (.f64 a a) #s(literal -1/8 binary64)))) eps (.f64 a #s(literal 1/12 binary64))) eps #s(literal 1/2 binary64)) eps (/.f64 #s(literal 1 binary64) a)) eps)
(/ (exp (* a eps)) (- (exp (* a eps)) 1))
(/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (.f64 eps a)))
(/ (exp (* a eps)) (- (exp (* a eps)) 1))
(/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (.f64 eps a)))
(/ (exp (* a eps)) (- (exp (* a eps)) 1))
(/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (.f64 eps a)))
(/ (exp (* a eps)) (- (exp (* a eps)) 1))
(/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (.f64 eps a)))
(/ (exp (* a eps)) (- (exp (* a eps)) 1))
(/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (.f64 eps a)))
(/ (exp (* a eps)) (- (exp (* a eps)) 1))
(/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (.f64 eps a)))
(/ (exp (* a eps)) (- (exp (* a eps)) 1))
(/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (.f64 eps a)))
(/ (exp (* a eps)) (- (exp (* a eps)) 1))
(/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (.f64 eps a)))

rewrite401.0ms (1.5%)

Memory

6.9MiB live, 246.5MiB allocated

Rules

4 520×	`lower-/.f32`
4 506×	`lower-/.f64`
3 484×	`lower-*.f32`
3 466×	`lower-*.f64`
2 800×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	329
0	76	311
1	328	303
2	3034	303
0	8380	285

Stop Event

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

Counts

19 → 549

Calls

Call 1

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

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

eval340.0ms (1.3%)

Memory: -1.3MiB live, 267.8MiB allocated
Compiler: Compiled 54 964 to 2 624 computations (95.2% saved)

prune226.0ms (0.9%)

Memory

-3.1MiB live, 293.6MiB allocated

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	1 358	4	1 362
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	1 361	7	1 368

Accuracy

100.0%

Counts

1 368 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) b) a))
✓	63.7%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
▶	52.3%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (/.f64 b a)) b))
▶	99.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (+.f64 (/.f64 b a) #s(literal 1 binary64))) b))
✓	46.5%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
✓	52.5%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
▶	62.3%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a)))

Compiler

Compiled 71 to 42 computations (40.8% saved)

simplify214.0ms (0.8%)

Memory

11.2MiB live, 166.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 b a)
cost-diff	0	(/.f64 (+.f64 b a) b)
cost-diff	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) b) a))
cost-diff	384	(/.f64 (/.f64 (+.f64 b a) b) a)
cost-diff	0	(/.f64 b a)
cost-diff	0	#s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (/.f64 b a))
cost-diff	0	(/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (/.f64 b a)) b)
cost-diff	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (/.f64 b a)) b))
cost-diff	0	(+.f64 (/.f64 b a) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (+.f64 (/.f64 b a) #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (+.f64 (/.f64 b a) #s(literal 1 binary64))) b)
cost-diff	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (+.f64 (/.f64 b a) #s(literal 1 binary64))) b))
cost-diff	0	(*.f64 b a)
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 b a))
cost-diff	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a)))
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a))

Rules

7 004×	`lower-fma.f64`
7 004×	`lower-fma.f32`
4 330×	`lower-*.f32`
4 326×	`lower-*.f64`
2 524×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	324
0	49	328
1	99	320
2	199	320
3	396	320
4	843	320
5	2104	320
6	4496	320
7	6527	320
0	8022	278

Stop Event

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

Calls

Call 1

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

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

localize391.0ms (1.5%)

Memory

-15.7MiB live, 185.9MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 b a)
accuracy	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) b) a))
accuracy	0.03515625	(/.f64 (+.f64 b a) b)
accuracy	0.18359375	(/.f64 (/.f64 (+.f64 b a) b) a)
accuracy	0	(/.f64 b a)
accuracy	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (/.f64 b a)) b))
accuracy	0.15234375	(/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (/.f64 b a)) b)
accuracy	30.17398314363745	#s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (/.f64 b a))
accuracy	0	(+.f64 (/.f64 b a) #s(literal 1 binary64))
accuracy	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (+.f64 (/.f64 b a) #s(literal 1 binary64))) b))
accuracy	0	#s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (+.f64 (/.f64 b a) #s(literal 1 binary64)))
accuracy	0.15234375	(/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (+.f64 (/.f64 b a) #s(literal 1 binary64))) b)
accuracy	0	(*.f64 b a)
accuracy	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a)))
accuracy	0.18359375	(/.f64 #s(literal 1 binary64) (*.f64 b a))
accuracy	24.050684594134342	(.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a))

Samples

268.0ms

256×

valid

Compiler

Compiled 234 to 32 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 186.0ms

ival-div: 160.0ms (85.9% of total)

ival-mult: 13.0ms (7% of total)

ival-add: 5.0ms (2.7% of total)

ival-expm1: 4.0ms (2.1% of total)

ival-exp: 2.0ms (1.1% of total)

ival-sub: 1.0ms (0.5% of total)

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

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

exact: 0.0ms (0% of total)

series37.0ms (0.1%)

Memory

25.9MiB live, 62.7MiB allocated

Counts

16 → 480

Calls

Call 1

Inputs
#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a)) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a))) (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 b a)) (patch (/.f64 #s(literal 1 binary64) (.f64 b a)) #<representation binary64>) () ())
#s(alt (.f64 b a) (patch (.f64 b a) #<representation binary64>) () ())
#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (+.f64 (/.f64 b a) #s(literal 1 binary64))) b)) (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (+.f64 (/.f64 b a) #s(literal 1 binary64))) b)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (+.f64 (/.f64 b a) #s(literal 1 binary64))) b) (patch (/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (+.f64 (/.f64 b a) #s(literal 1 binary64))) b) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (+.f64 (/.f64 b a) #s(literal 1 binary64))) (patch #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (+.f64 (/.f64 b a) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 b a) #s(literal 1 binary64)) (patch (+.f64 (/.f64 b a) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (/.f64 b a)) b)) (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (/.f64 b a)) b)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (/.f64 b a)) b) (patch (/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (/.f64 b a)) b) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (/.f64 b a)) (patch #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (/.f64 b a)) #<representation binary64>) () ())
#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (+.f64 b a) b) a) (patch (/.f64 (/.f64 (+.f64 b a) b) a) #<representation binary64>) () ())
#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) b) a)) (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) b) a)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 b a) b) (patch (/.f64 (+.f64 b a) b) #<representation binary64>) () ())
#s(alt (+.f64 b a) (patch (+.f64 b a) #<representation binary64>) () ())

Outputs
#s(alt (/ 1 b) (taylor 0 b) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a)) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ b a)) b) (taylor 0 b) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a)) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ b a)) b) (taylor 0 b) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a)) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ b a)) b) (taylor 0 b) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a)) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1 a) (taylor inf b) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a)) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 a) (/ 1 b)) (taylor inf b) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a)) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 a) (/ 1 b)) (taylor inf b) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a)) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 a) (/ 1 b)) (taylor inf b) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a)) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1 a) (taylor -inf b) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a)) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 a) (/ 1 b)) (taylor -inf b) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a)) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 a) (/ 1 b)) (taylor -inf b) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a)) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 a) (/ 1 b)) (taylor -inf b) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a)) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1 a) (taylor 0 a) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a)) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ a b)) a) (taylor 0 a) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a)) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ a b)) a) (taylor 0 a) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a)) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ a b)) a) (taylor 0 a) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a)) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1 b) (taylor inf a) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a)) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 a) (/ 1 b)) (taylor inf a) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a)) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 a) (/ 1 b)) (taylor inf a) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a)) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 a) (/ 1 b)) (taylor inf a) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a)) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1 b) (taylor -inf a) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a)) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 a) (/ 1 b)) (taylor -inf a) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a)) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 a) (/ 1 b)) (taylor -inf a) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a)) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 a) (/ 1 b)) (taylor -inf a) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a)) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ a b) (* a b)) (taylor 0 eps) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a))) (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(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))) (taylor 0 eps) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a))) (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(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))) (taylor 0 eps) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a))) (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(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))) (taylor 0 eps) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a))) (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (taylor inf eps) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a))) (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (taylor inf eps) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a))) (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (taylor inf eps) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a))) (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (taylor inf eps) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a))) (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (taylor -inf eps) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a))) (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (taylor -inf eps) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a))) (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (taylor -inf eps) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a))) (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (taylor -inf eps) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a))) (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ 1 a) (taylor 0 a) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a))) (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a))) #<representation binary64>) () ())) ())
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#s(alt (/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b) (taylor 0 b) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (/.f64 b a)) b)) (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (/.f64 b a)) b)) #<representation binary64>) () ())) ())
#s(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) (taylor 0 b) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (/.f64 b a)) b)) (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (/.f64 b a)) b)) #<representation binary64>) () ())) ())
#s(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) (taylor 0 b) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (/.f64 b a)) b)) (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (/.f64 b a)) b)) #<representation binary64>) () ())) ())
#s(alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (taylor inf b) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (/.f64 b a)) b)) (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (/.f64 b a)) b)) #<representation binary64>) () ())) ())
#s(alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (taylor inf b) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (/.f64 b a)) b)) (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (/.f64 b a)) b)) #<representation binary64>) () ())) ())
#s(alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (taylor inf b) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (/.f64 b a)) b)) (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (/.f64 b a)) b)) #<representation binary64>) () ())) ())
#s(alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (taylor inf b) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (/.f64 b a)) b)) (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (/.f64 b a)) b)) #<representation binary64>) () ())) ())
#s(alt (/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (taylor -inf b) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (/.f64 b a)) b)) (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (/.f64 b a)) b)) #<representation binary64>) () ())) ())
#s(alt (/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (taylor -inf b) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (/.f64 b a)) b)) (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (/.f64 b a)) b)) #<representation binary64>) () ())) ())
#s(alt (/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (taylor -inf b) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (/.f64 b a)) b)) (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (/.f64 b a)) b)) #<representation binary64>) () ())) ())
#s(alt (/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (taylor -inf b) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (/.f64 b a)) b)) (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (/.f64 b a)) b)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ b a)) b) (taylor 0 eps) (#s(alt (/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (/.f64 b a)) b) (patch (/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (/.f64 b a)) b) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow eps 2) (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))) (+ (/ 1 a) (/ 1 b))) (taylor 0 eps) (#s(alt (/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (/.f64 b a)) b) (patch (/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (/.f64 b a)) b) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow eps 2) (- (+ (* 1/2 a) (* eps (- (* 1/6 (pow a 2)) (+ (* 1/24 (pow a 2)) (+ (* 1/12 (pow a 2)) (* 1/2 (* a (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))))))))) (+ (* 1/6 a) (* 1/4 a)))) (+ (/ 1 a) (/ 1 b))) (taylor 0 eps) (#s(alt (/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (/.f64 b a)) b) (patch (/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (/.f64 b a)) b) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow eps 2) (- (+ (* 1/2 a) (* eps (- (+ (* 1/6 (pow a 2)) (* eps (- (* 1/24 (pow a 3)) (+ (* 1/120 (pow a 3)) (+ (* 1/48 (pow a 3)) (+ (* 1/6 (* (pow a 2) (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a))))) (* 1/2 (* a (- (* 1/6 (pow a 2)) (+ (* 1/24 (pow a 2)) (+ (* 1/12 (pow a 2)) (* 1/2 (* a (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))))))))))))))) (+ (* 1/24 (pow a 2)) (+ (* 1/12 (pow a 2)) (* 1/2 (* a (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))))))))) (+ (* 1/6 a) (* 1/4 a)))) (+ (/ 1 a) (/ 1 b))) (taylor 0 eps) (#s(alt (/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (/.f64 b a)) b) (patch (/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (/.f64 b a)) b) #<representation binary64>) () ())) ())
#s(alt (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) (taylor inf eps) (#s(alt (/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (/.f64 b a)) b) (patch (/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (/.f64 b a)) b) #<representation binary64>) () ())) ())
#s(alt (* eps (- (+ (/ 1 (* b eps)) (/ (exp (* a eps)) (- (exp (* a eps)) 1))) 1/2)) (taylor inf eps) (#s(alt (/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (/.f64 b a)) b) (patch (/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (/.f64 b a)) b) #<representation binary64>) () ())) ())
#s(alt (* eps (- (+ (/ 1 (* b eps)) (/ (exp (* a eps)) (- (exp (* a eps)) 1))) 1/2)) (taylor inf eps) (#s(alt (/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (/.f64 b a)) b) (patch (/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (/.f64 b a)) b) #<representation binary64>) () ())) ())
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#s(alt (+ a b) (taylor 0 a) (#s(alt (+.f64 b a) (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt (+ a b) (taylor 0 a) (#s(alt (+.f64 b a) (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt a (taylor inf a) (#s(alt (+.f64 b a) (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (/ b a))) (taylor inf a) (#s(alt (+.f64 b a) (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (/ b a))) (taylor inf a) (#s(alt (+.f64 b a) (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (/ b a))) (taylor inf a) (#s(alt (+.f64 b a) (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt a (taylor -inf a) (#s(alt (+.f64 b a) (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ b a)) 1))) (taylor -inf a) (#s(alt (+.f64 b a) (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ b a)) 1))) (taylor -inf a) (#s(alt (+.f64 b a) (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ b a)) 1))) (taylor -inf a) (#s(alt (+.f64 b a) (patch (+.f64 b a) #<representation binary64>) () ())) ())

Calls

120 calls:

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

simplify280.0ms (1.1%)

Memory

-13.1MiB live, 284.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 856×	`lower-fma.f64`
9 856×	`lower-fma.f32`
6 320×	`lower-*.f64`
6 320×	`lower-*.f32`
4 050×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	343	11120
1	1010	10544
2	3392	10088
0	8318	8768

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 474

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 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)))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 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)
(* a b)
(/ (+ 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)))
(/ (+ 1 (/ b a)) b)
(+ (* (pow eps 2) (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))) (+ (/ 1 a) (/ 1 b)))
(+ (* (pow eps 2) (- (+ (* 1/2 a) (* eps (- (* 1/6 (pow a 2)) (+ (* 1/24 (pow a 2)) (+ (* 1/12 (pow a 2)) (* 1/2 (* a (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))))))))) (+ (* 1/6 a) (* 1/4 a)))) (+ (/ 1 a) (/ 1 b)))
(+ (* (pow eps 2) (- (+ (* 1/2 a) (* eps (- (+ (* 1/6 (pow a 2)) (* eps (- (* 1/24 (pow a 3)) (+ (* 1/120 (pow a 3)) (+ (* 1/48 (pow a 3)) (+ (* 1/6 (* (pow a 2) (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a))))) (* 1/2 (* a (- (* 1/6 (pow a 2)) (+ (* 1/24 (pow a 2)) (+ (* 1/12 (pow a 2)) (* 1/2 (* a (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))))))))))))))) (+ (* 1/24 (pow a 2)) (+ (* 1/12 (pow a 2)) (* 1/2 (* a (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))))))))) (+ (* 1/6 a) (* 1/4 a)))) (+ (/ 1 a) (/ 1 b)))
(* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))
(* eps (- (+ (/ 1 (* b eps)) (/ (exp (* a eps)) (- (exp (* a eps)) 1))) 1/2))
(* eps (- (+ (/ 1 (* b eps)) (/ (exp (* a eps)) (- (exp (* a eps)) 1))) 1/2))
(* eps (- (+ (/ 1 (* b eps)) (/ (exp (* a eps)) (- (exp (* a eps)) 1))) 1/2))
(* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))
(* -1 (* eps (- (* -1 (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) (/ 1 (* b eps)))))
(* -1 (* eps (- (* -1 (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) (/ 1 (* b eps)))))
(* -1 (* eps (- (* -1 (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) (/ 1 (* b eps)))))
(/ 1 a)
(/ (+ 1 (/ a b)) a)
(/ (+ 1 (* a (+ (* a (* eps (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps))))) (/ 1 b)))) a)
(/ (+ 1 (* a (+ (* a (+ (* a (* eps (- (* 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)))))))))) (* eps (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps)))))) (/ 1 b)))) a)
(/ (+ 1 (* b (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)))) b)
(/ (+ 1 (* b (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)))) b)
(/ (+ 1 (* b (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)))) b)
(/ (+ 1 (* b (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)))) b)
(/ (+ 1 (* b (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)))) b)
(/ (+ 1 (* b (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)))) b)
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1
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(/ b a)
(/ b a)
(/ b 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))
(/ (+ 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)))
(/ a b)
(/ (+ a b) b)
(/ (+ a b) b)
(/ (+ a b) b)
1
(+ 1 (/ a b))
(+ 1 (/ a b))
(+ 1 (/ a b))
1
(+ 1 (/ a b))
(+ 1 (/ a b))
(+ 1 (/ a b))
1
(+ 1 (/ a b))
(+ 1 (/ a b))
(+ 1 (/ a b))
(/ a b)
(* a (+ (/ 1 a) (/ 1 b)))
(* a (+ (/ 1 a) (/ 1 b)))
(* a (+ (/ 1 a) (/ 1 b)))
(/ a b)
(* a (+ (/ 1 a) (/ 1 b)))
(* a (+ (/ 1 a) (/ 1 b)))
(* a (+ (/ 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)))

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

rewrite189.0ms (0.7%)

Memory

-7.2MiB live, 347.1MiB allocated

Rules

5 424×	`lower-/.f32`
5 412×	`lower-/.f64`
4 842×	`lower-*.f32`
4 838×	`lower-*.f64`
3 588×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	308
0	49	312
1	232	304
2	1875	304
0	9005	262

Stop Event

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

Counts

16 → 867

Calls

Call 1

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

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

eval234.0ms (0.9%)

Memory: 7.8MiB live, 367.3MiB allocated
Compiler: Compiled 28 499 to 1 726 computations (93.9% saved)

prune162.0ms (0.6%)

Memory

7.1MiB live, 239.3MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	1 465	1	1 466
Fresh	0	0	0
Picked	1	3	4
Done	0	3	3
Total	1 466	7	1 473

Accuracy

100.0%

Counts

1 473 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) b) a))
✓	63.7%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
▶	46.3%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a))
✓	52.3%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (/.f64 b a)) b))
✓	99.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (+.f64 (/.f64 b a) #s(literal 1 binary64))) b))
✓	46.5%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
✓	52.5%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))

Compiler

Compiled 68 to 39 computations (42.6% saved)

simplify130.0ms (0.5%)

Memory

2.2MiB live, 120.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

4 878×	`lower-fma.f64`
4 878×	`lower-fma.f32`
2 674×	`lower-*.f64`
2 674×	`lower-*.f32`
1 134×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	61
0	25	61
1	51	61
2	104	61
3	171	61
4	322	61
5	646	61
6	1255	61
7	3475	61
8	6214	61
9	7596	61
10	7896	61
11	7977	61
0	8007	55

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a))
(/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a)
#s(approx (/ (+ b a) b) (/.f64 a b))
(/.f64 a b)
a
b

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

localize43.0ms (0.2%)

Memory

-3.9MiB live, 70.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 a b)
accuracy	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a))
accuracy	0.18359375	(/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a)
accuracy	34.02552204372718	#s(approx (/ (+ b a) b) (/.f64 a b))

Samples

33.0ms

256×

valid

Compiler

Compiled 43 to 19 computations (55.8% saved)

Precisions

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

ival-mult: 8.0ms (38.8% of total)

ival-div: 6.0ms (29.1% of total)

ival-expm1: 4.0ms (19.4% of total)

ival-add: 3.0ms (14.5% of total)

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

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

series5.0ms (0%)

Memory

9.9MiB live, 9.9MiB allocated

Counts

4 → 108

Calls

Call 1

Inputs
#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a)) (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a) (patch (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ b a) b) (/.f64 a b)) (patch #s(approx (/ (+ b a) b) (/.f64 a b)) #<representation binary64>) () ())
#s(alt (/.f64 a b) (patch (/.f64 a b) #<representation binary64>) () ())

Outputs
#s(alt (/ (+ a b) (* a b)) (taylor 0 eps) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a)) (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a)) #<representation binary64>) () ())) ())
#s(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))) (taylor 0 eps) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a)) (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a)) #<representation binary64>) () ())) ())
#s(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))) (taylor 0 eps) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a)) (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a)) #<representation binary64>) () ())) ())
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#s(alt (/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (taylor -inf b) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a)) (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a)) #<representation binary64>) () ())) ())
#s(alt (/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (taylor -inf b) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a)) (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a)) #<representation binary64>) () ())) ())
#s(alt (/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (taylor -inf b) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a)) (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a)) #<representation binary64>) () ())) ())
#s(alt (/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (taylor -inf b) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a)) (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a)) #<representation binary64>) () ())) ())
#s(alt (/ 1 b) (taylor 0 b) (#s(alt (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a) (patch (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ b a)) b) (taylor 0 b) (#s(alt (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a) (patch (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ b a)) b) (taylor 0 b) (#s(alt (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a) (patch (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ b a)) b) (taylor 0 b) (#s(alt (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a) (patch (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a) #<representation binary64>) () ())) ())
#s(alt (/ 1 a) (taylor inf b) (#s(alt (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a) (patch (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 a) (/ 1 b)) (taylor inf b) (#s(alt (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a) (patch (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 a) (/ 1 b)) (taylor inf b) (#s(alt (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a) (patch (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 a) (/ 1 b)) (taylor inf b) (#s(alt (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a) (patch (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a) #<representation binary64>) () ())) ())
#s(alt (/ 1 a) (taylor -inf b) (#s(alt (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a) (patch (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 a) (/ 1 b)) (taylor -inf b) (#s(alt (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a) (patch (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 a) (/ 1 b)) (taylor -inf b) (#s(alt (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a) (patch (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 a) (/ 1 b)) (taylor -inf b) (#s(alt (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a) (patch (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a) #<representation binary64>) () ())) ())
#s(alt (/ 1 a) (taylor 0 a) (#s(alt (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a) (patch (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ a b)) a) (taylor 0 a) (#s(alt (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a) (patch (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ a b)) a) (taylor 0 a) (#s(alt (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a) (patch (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ a b)) a) (taylor 0 a) (#s(alt (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a) (patch (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a) #<representation binary64>) () ())) ())
#s(alt (/ 1 b) (taylor inf a) (#s(alt (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a) (patch (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 a) (/ 1 b)) (taylor inf a) (#s(alt (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a) (patch (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 a) (/ 1 b)) (taylor inf a) (#s(alt (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a) (patch (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 a) (/ 1 b)) (taylor inf a) (#s(alt (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a) (patch (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a) #<representation binary64>) () ())) ())
#s(alt (/ 1 b) (taylor -inf a) (#s(alt (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a) (patch (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 a) (/ 1 b)) (taylor -inf a) (#s(alt (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a) (patch (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 a) (/ 1 b)) (taylor -inf a) (#s(alt (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a) (patch (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 a) (/ 1 b)) (taylor -inf a) (#s(alt (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a) (patch (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a) #<representation binary64>) () ())) ())
#s(alt (/ a b) (taylor 0 b) (#s(alt #s(approx (/ (+ b a) b) (/.f64 a b)) (patch #s(approx (/ (+ b a) b) (/.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (/ (+ a b) b) (taylor 0 b) (#s(alt #s(approx (/ (+ b a) b) (/.f64 a b)) (patch #s(approx (/ (+ b a) b) (/.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (/ (+ a b) b) (taylor 0 b) (#s(alt #s(approx (/ (+ b a) b) (/.f64 a b)) (patch #s(approx (/ (+ b a) b) (/.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (/ (+ a b) b) (taylor 0 b) (#s(alt #s(approx (/ (+ b a) b) (/.f64 a b)) (patch #s(approx (/ (+ b a) b) (/.f64 a b)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf b) (#s(alt #s(approx (/ (+ b a) b) (/.f64 a b)) (patch #s(approx (/ (+ b a) b) (/.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ a b)) (taylor inf b) (#s(alt #s(approx (/ (+ b a) b) (/.f64 a b)) (patch #s(approx (/ (+ b a) b) (/.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ a b)) (taylor inf b) (#s(alt #s(approx (/ (+ b a) b) (/.f64 a b)) (patch #s(approx (/ (+ b a) b) (/.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ a b)) (taylor inf b) (#s(alt #s(approx (/ (+ b a) b) (/.f64 a b)) (patch #s(approx (/ (+ b a) b) (/.f64 a b)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf b) (#s(alt #s(approx (/ (+ b a) b) (/.f64 a b)) (patch #s(approx (/ (+ b a) b) (/.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ a b)) (taylor -inf b) (#s(alt #s(approx (/ (+ b a) b) (/.f64 a b)) (patch #s(approx (/ (+ b a) b) (/.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ a b)) (taylor -inf b) (#s(alt #s(approx (/ (+ b a) b) (/.f64 a b)) (patch #s(approx (/ (+ b a) b) (/.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ a b)) (taylor -inf b) (#s(alt #s(approx (/ (+ b a) b) (/.f64 a b)) (patch #s(approx (/ (+ b a) b) (/.f64 a b)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 a) (#s(alt #s(approx (/ (+ b a) b) (/.f64 a b)) (patch #s(approx (/ (+ b a) b) (/.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ a b)) (taylor 0 a) (#s(alt #s(approx (/ (+ b a) b) (/.f64 a b)) (patch #s(approx (/ (+ b a) b) (/.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ a b)) (taylor 0 a) (#s(alt #s(approx (/ (+ b a) b) (/.f64 a b)) (patch #s(approx (/ (+ b a) b) (/.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ a b)) (taylor 0 a) (#s(alt #s(approx (/ (+ b a) b) (/.f64 a b)) (patch #s(approx (/ (+ b a) b) (/.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (/ a b) (taylor inf a) (#s(alt #s(approx (/ (+ b a) b) (/.f64 a b)) (patch #s(approx (/ (+ b a) b) (/.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (/ 1 a) (/ 1 b))) (taylor inf a) (#s(alt #s(approx (/ (+ b a) b) (/.f64 a b)) (patch #s(approx (/ (+ b a) b) (/.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (/ 1 a) (/ 1 b))) (taylor inf a) (#s(alt #s(approx (/ (+ b a) b) (/.f64 a b)) (patch #s(approx (/ (+ b a) b) (/.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (/ 1 a) (/ 1 b))) (taylor inf a) (#s(alt #s(approx (/ (+ b a) b) (/.f64 a b)) (patch #s(approx (/ (+ b a) b) (/.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (/ a b) (taylor -inf a) (#s(alt #s(approx (/ (+ b a) b) (/.f64 a b)) (patch #s(approx (/ (+ b a) b) (/.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (/ 1 a) (/ 1 b))) (taylor -inf a) (#s(alt #s(approx (/ (+ b a) b) (/.f64 a b)) (patch #s(approx (/ (+ b a) b) (/.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (/ 1 a) (/ 1 b))) (taylor -inf a) (#s(alt #s(approx (/ (+ b a) b) (/.f64 a b)) (patch #s(approx (/ (+ b a) b) (/.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (/ 1 a) (/ 1 b))) (taylor -inf a) (#s(alt #s(approx (/ (+ b a) b) (/.f64 a b)) (patch #s(approx (/ (+ b a) b) (/.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (/ a b) (taylor 0 a) (#s(alt (/.f64 a b) (patch (/.f64 a b) #<representation binary64>) () ())) ())
#s(alt (/ a b) (taylor 0 a) (#s(alt (/.f64 a b) (patch (/.f64 a b) #<representation binary64>) () ())) ())
#s(alt (/ a b) (taylor 0 a) (#s(alt (/.f64 a b) (patch (/.f64 a b) #<representation binary64>) () ())) ())
#s(alt (/ a b) (taylor 0 a) (#s(alt (/.f64 a b) (patch (/.f64 a b) #<representation binary64>) () ())) ())
#s(alt (/ a b) (taylor inf a) (#s(alt (/.f64 a b) (patch (/.f64 a b) #<representation binary64>) () ())) ())
#s(alt (/ a b) (taylor inf a) (#s(alt (/.f64 a b) (patch (/.f64 a b) #<representation binary64>) () ())) ())
#s(alt (/ a b) (taylor inf a) (#s(alt (/.f64 a b) (patch (/.f64 a b) #<representation binary64>) () ())) ())
#s(alt (/ a b) (taylor inf a) (#s(alt (/.f64 a b) (patch (/.f64 a b) #<representation binary64>) () ())) ())
#s(alt (/ a b) (taylor -inf a) (#s(alt (/.f64 a b) (patch (/.f64 a b) #<representation binary64>) () ())) ())
#s(alt (/ a b) (taylor -inf a) (#s(alt (/.f64 a b) (patch (/.f64 a b) #<representation binary64>) () ())) ())
#s(alt (/ a b) (taylor -inf a) (#s(alt (/.f64 a b) (patch (/.f64 a b) #<representation binary64>) () ())) ())
#s(alt (/ a b) (taylor -inf a) (#s(alt (/.f64 a b) (patch (/.f64 a b) #<representation binary64>) () ())) ())
#s(alt (/ a b) (taylor 0 b) (#s(alt (/.f64 a b) (patch (/.f64 a b) #<representation binary64>) () ())) ())
#s(alt (/ a b) (taylor 0 b) (#s(alt (/.f64 a b) (patch (/.f64 a b) #<representation binary64>) () ())) ())
#s(alt (/ a b) (taylor 0 b) (#s(alt (/.f64 a b) (patch (/.f64 a b) #<representation binary64>) () ())) ())
#s(alt (/ a b) (taylor 0 b) (#s(alt (/.f64 a b) (patch (/.f64 a b) #<representation binary64>) () ())) ())
#s(alt (/ a b) (taylor inf b) (#s(alt (/.f64 a b) (patch (/.f64 a b) #<representation binary64>) () ())) ())
#s(alt (/ a b) (taylor inf b) (#s(alt (/.f64 a b) (patch (/.f64 a b) #<representation binary64>) () ())) ())
#s(alt (/ a b) (taylor inf b) (#s(alt (/.f64 a b) (patch (/.f64 a b) #<representation binary64>) () ())) ())
#s(alt (/ a b) (taylor inf b) (#s(alt (/.f64 a b) (patch (/.f64 a b) #<representation binary64>) () ())) ())
#s(alt (/ a b) (taylor -inf b) (#s(alt (/.f64 a b) (patch (/.f64 a b) #<representation binary64>) () ())) ())
#s(alt (/ a b) (taylor -inf b) (#s(alt (/.f64 a b) (patch (/.f64 a b) #<representation binary64>) () ())) ())
#s(alt (/ a b) (taylor -inf b) (#s(alt (/.f64 a b) (patch (/.f64 a b) #<representation binary64>) () ())) ())
#s(alt (/ a b) (taylor -inf b) (#s(alt (/.f64 a b) (patch (/.f64 a b) #<representation binary64>) () ())) ())

Calls

27 calls:

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

simplify189.0ms (0.7%)

Memory

-25.3MiB live, 248.0MiB allocated

Algorithm

1×	egg-herbie

Rules

9 196×	`lower-fma.f64`
9 196×	`lower-fma.f32`
5 688×	`lower-*.f64`
5 688×	`lower-*.f32`
4 640×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	206	2046
1	590	2008
2	1949	1928
0	8336	1692

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

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

rewrite130.0ms (0.5%)

Memory

36.0MiB live, 229.0MiB allocated

Rules

4 936×	`lower-*.f64`
4 936×	`lower-*.f32`
4 786×	`lower-fma.f64`
4 786×	`lower-fma.f32`
4 582×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	59
0	25	59
1	130	59
2	999	59
0	8289	53

Stop Event

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

Counts

4 → 51

Calls

Call 1

Inputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a))
(/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a)
#s(approx (/ (+ b a) b) (/.f64 a b))
(/.f64 a b)

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

eval18.0ms (0.1%)

Memory: -15.5MiB live, 30.0MiB allocated
Compiler: Compiled 2 549 to 238 computations (90.7% saved)

prune18.0ms (0.1%)

Memory

0.2MiB live, 39.1MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	159	7	166

Accuracy

100.0%

Counts

166 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) b) a))
✓	63.7%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
✓	46.3%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a))
✓	52.3%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (/.f64 b a)) b))
✓	99.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (+.f64 (/.f64 b a) #s(literal 1 binary64))) b))
✓	46.5%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
✓	52.5%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))

Compiler

Compiled 236 to 101 computations (57.2% saved)

regimes16.0ms (0.1%)

Memory

20.8MiB live, 20.8MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	eps
4.0ms	a
4.0ms	b
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))))

Results

Accuracy	Segments	Branch
99.8%	1	`a`
99.8%	1	`b`
99.8%	1	`eps`
99.8%	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)

regimes21.0ms (0.1%)

Memory

-23.8MiB live, 14.7MiB allocated

Counts

6 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

13.0ms	(/.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))))
3.0ms	eps
2.0ms	a
2.0ms	b

Results

Accuracy	Segments	Branch
82.8%	3	`a`
85.2%	3	`b`
78.7%	4	`eps`
63.7%	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)

regimes2.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
83.2%	2	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0%)

Memory

9.1MiB live, 9.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

1.0ms	eps
1.0ms	b
1.0ms	a
1.0ms	(/.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))))

Results

Accuracy	Segments	Branch
52.5%	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))))`
52.5%	1	`eps`
52.5%	1	`a`
52.5%	1	`b`

Compiler

Compiled 39 to 26 computations (33.3% saved)

bsearch39.0ms (0.1%)

Memory

7.6MiB live, 45.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.9085285592434505e-142	9.249793603796893e-140
20.0ms	5.3697684034630614e-201	2.642626574032083e-196

Samples

21.0ms

256×

valid

Compiler

Compiled 318 to 219 computations (31.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 7.0ms (47.6% of total)

ival-expm1: 4.0ms (27.2% of total)

ival-div: 2.0ms (13.6% of total)

ival-add: 1.0ms (6.8% of total)

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

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

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.3697684034630614e-201	2.642626574032083e-196

Compiler

Compiled 158 to 115 computations (27.2% saved)

simplify43.0ms (0.2%)

Memory

-10.3MiB live, 45.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	236
1	49	236

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (+.f64 (/.f64 b a) #s(literal 1 binary64))) b))
(if (<=.f64 b #s(literal 8837028314601267/42081087212386988057927919063041029324402718422585390875986247224549857234376646576909332290220707609815863750849425741704155458001470430905022518165215046799641789369027556785533310063074581738170346013886251008 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) (if (<=.f64 b #s(literal 5363123171977039/214524926879081553593184399971293538039669853129478294043576983099548224481176751628829988770670454843040509730983776813660062124991145119142938384097345536 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))))
(if (<=.f64 b #s(literal 8837028314601267/42081087212386988057927919063041029324402718422585390875986247224549857234376646576909332290220707609815863750849425741704155458001470430905022518165215046799641789369027556785533310063074581738170346013886251008 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))

Outputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (+.f64 (/.f64 b a) #s(literal 1 binary64))) b))
(if (<=.f64 b #s(literal 8837028314601267/42081087212386988057927919063041029324402718422585390875986247224549857234376646576909332290220707609815863750849425741704155458001470430905022518165215046799641789369027556785533310063074581738170346013886251008 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) (if (<=.f64 b #s(literal 5363123171977039/214524926879081553593184399971293538039669853129478294043576983099548224481176751628829988770670454843040509730983776813660062124991145119142938384097345536 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))))
(if (<=.f64 b #s(literal 8837028314601267/42081087212386988057927919063041029324402718422585390875986247224549857234376646576909332290220707609815863750849425741704155458001470430905022518165215046799641789369027556785533310063074581738170346013886251008 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) (if (<=.f64 b #s(literal 5363123171977039/214524926879081553593184399971293538039669853129478294043576983099548224481176751628829988770670454843040509730983776813660062124991145119142938384097345536 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))))
(if (<=.f64 b #s(literal 8837028314601267/42081087212386988057927919063041029324402718422585390875986247224549857234376646576909332290220707609815863750849425741704155458001470430905022518165215046799641789369027556785533310063074581738170346013886251008 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))

soundness308.0ms (1.2%)

Memory

-23.8MiB live, 244.6MiB allocated

Rules

9 330×	`lower-fma.f64`
9 330×	`lower-fma.f32`
7 472×	`lower-fma.f64`
7 472×	`lower-fma.f32`
7 346×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	336	2612
1	1079	2564
2	3419	2564
0	8500	2144
0	505	11515
1	1512	10699
2	4934	10640
0	8165	9286

Stop Event

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

Compiler

Compiled 98 to 56 computations (42.9% saved)

preprocess62.0ms (0.2%)

Memory: 15.7MiB live, 94.9MiB allocated
Compiler: Compiled 202 to 100 computations (50.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze159.0ms (0.6%)

sample20.0s (76.1%)

explain261.0ms (1%)

preprocess207.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify138.0ms (0.5%)

localize70.0ms (0.3%)

series22.0ms (0.1%)

simplify208.0ms (0.8%)

rewrite209.0ms (0.8%)

eval67.0ms (0.3%)

prune71.0ms (0.3%)

simplify150.0ms (0.6%)

localize323.0ms (1.2%)

series128.0ms (0.5%)

simplify756.0ms (2.9%)

rewrite401.0ms (1.5%)

eval340.0ms (1.3%)

prune226.0ms (0.9%)

simplify214.0ms (0.8%)

localize391.0ms (1.5%)

series37.0ms (0.1%)

simplify280.0ms (1.1%)

rewrite189.0ms (0.7%)

eval234.0ms (0.9%)

prune162.0ms (0.6%)

simplify130.0ms (0.5%)

localize43.0ms (0.2%)

series5.0ms (0%)

simplify189.0ms (0.7%)

rewrite130.0ms (0.5%)

eval18.0ms (0.1%)

prune18.0ms (0.1%)

regimes16.0ms (0.1%)

regimes21.0ms (0.1%)

regimes2.0ms (0%)

regimes5.0ms (0%)

bsearch39.0ms (0.1%)

bsearch1.0ms (0%)

simplify43.0ms (0.2%)

soundness308.0ms (1.2%)

preprocess62.0ms (0.2%)

end0.0ms (0%)

Profiling