Metrics for expq3 (problem 3.4.2)

analyze159.0ms (0.6%)

Memory

-34.6MiB live, 242.9MiB 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)

sample18.7s (67.2%)

Memory

106.0MiB live, 20 252.5MiB allocated

Samples

12.1s	63 223×	0	invalid
1.7s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 10.7s

ival-mult: 3.4s (31.4% of total)

ival-expm1: 1.4s (13.5% of total)

const: 1.3s (12.5% of total)

ival-fabs: 1.1s (9.8% of total)

ival-div: 1.0s (9.7% of total)

ival-<=: 1.0s (9.4% of total)

ival-add: 771.0ms (7.2% of total)

ival-fmin: 416.0ms (3.9% of total)

ival-and: 208.0ms (1.9% of total)

exact: 48.0ms (0.4% of total)

ival-assert: 27.0ms (0.3% of total)

Bogosity

preprocess748.0ms (2.7%)

Memory

16.5MiB live, 255.8MiB 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 (expm1.f64 (*.f64 eps (+.f64 a b)))) (*.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps b))))

Symmetry

(sort a b)

explain372.0ms (1.3%)

Memory

18.5MiB live, 419.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
234	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))))`
137	1	(-1.1246156236336099e-88 -6.867207741118653e-215 4.104568448376808e-236)	-	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`
105	0	-	-	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`
101	1	(-1.1246156236336099e-88 -6.867207741118653e-215 4.104568448376808e-236)	-	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`
0	0	-	-	`(+.f64 a b)`
0	0	-	-	`(*.f64 b eps)`
0	0	-	-	`(exp.f64 (*.f64 a eps))`
0	0	-	-	`a`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(*.f64 a eps)`
0	0	-	-	`(exp.f64 (*.f64 (+.f64 a b) eps))`
0	0	-	-	`eps`
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	-	-	`(.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))`
0	0	-	-	`(*.f64 (+.f64 a b) eps)`
0	0	-	-	`(exp.f64 (*.f64 b eps))`
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	212	0
↳	`(.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))`	underflow	212
↳	`(*.f64 (+.f64 a b) eps)`	underflow	118
↳	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`	underflow	118
↳	`(*.f64 b eps)`	underflow	151
↳	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	underflow	154
↳	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	underflow	151
↳	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`	underflow	234
↳	`(*.f64 a eps)`	underflow	154
`-.f64`	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`	cancellation	138	0
`-.f64`	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	cancellation	105	0
`-.f64`	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	cancellation	102	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	22	0
↳	`(*.f64 b eps)`	underflow	151
↳	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	underflow	154
↳	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	underflow	151
↳	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`	underflow	234
↳	`(*.f64 a eps)`	underflow	154

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	118
3	91
4	47

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

67.0ms

512×

valid

Compiler

Compiled 256 to 72 computations (71.9% saved)

Precisions

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

ival-mult: 15.0ms (35.4% of total)

ival-exp: 10.0ms (23.6% of total)

ival-expm1: 8.0ms (18.9% of total)

ival-div: 5.0ms (11.8% of total)

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

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB 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)

simplify248.0ms (0.9%)

Memory

-17.5MiB live, 382.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

4 832×	`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 (expm1.f64 (.f64 eps (+.f64 a b)))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))
(.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))
(.f64 eps (expm1.f64 (.f64 eps (+.f64 a b))))
eps
(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))
(expm1.f64 (*.f64 eps (+.f64 a b)))
(exp.f64 (*.f64 (+.f64 a b) eps))
(exp.f64 (*.f64 eps (+.f64 a b)))
(*.f64 (+.f64 a b) eps)
(*.f64 eps (+.f64 a b))
(+.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 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))
(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))
(expm1.f64 (*.f64 eps a))
(exp.f64 (*.f64 a eps))
(exp.f64 (*.f64 eps a))
(*.f64 a eps)
(*.f64 eps a)
(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))
(expm1.f64 (*.f64 eps b))
(exp.f64 (*.f64 b eps))
(exp.f64 (*.f64 eps b))
(*.f64 b eps)
(*.f64 eps b)

localize52.0ms (0.2%)

Memory

10.2MiB live, 125.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	64.6%	(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))
✓	accuracy	62.3%	(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))
✓	accuracy	51.6%	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))
✓	accuracy	11.6%	(/.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

32.0ms

256×

valid

Compiler

Compiled 101 to 19 computations (81.2% saved)

Precisions

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

ival-mult: 9.0ms (41.4% of total)

ival-exp: 6.0ms (27.6% of total)

ival-expm1: 4.0ms (18.4% of total)

ival-div: 2.0ms (9.2% of total)

ival-add: 1.0ms (4.6% of total)

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

exact: 0.0ms (0% of total)

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

series27.0ms (0.1%)

Memory

-23.9MiB live, 54.1MiB 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
5.0ms	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)))

rewrite370.0ms (1.3%)

Memory

16.8MiB live, 611.8MiB allocated

Algorithm

1×	batch-egg-rewrite

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

simplify459.0ms (1.6%)

Memory

-1.2MiB live, 552.8MiB 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 b eps))
(- (+ (exp (* b eps)) (* a (* eps (exp (* b eps))))) 1)
(fma.f64 (fma.f64 eps a #s(literal 1 binary64)) (exp.f64 (*.f64 b eps)) #s(literal -1 binary64))
(- (+ (exp (* b eps)) (* a (+ (* 1/2 (* a (* (pow eps 2) (exp (* b eps))))) (* eps (exp (* b eps)))))) 1)
(+.f64 (fma.f64 a (.f64 a (.f64 (exp.f64 (.f64 b eps)) (.f64 eps (.f64 eps #s(literal 1/2 binary64))))) (.f64 (fma.f64 eps a #s(literal 1 binary64)) (exp.f64 (*.f64 b eps)))) #s(literal -1 binary64))
(- (+ (exp (* b eps)) (* a (+ (* a (+ (* 1/6 (* a (* (pow eps 3) (exp (* b eps))))) (* 1/2 (* (pow eps 2) (exp (* b eps)))))) (* eps (exp (* b eps)))))) 1)
(+.f64 (fma.f64 (fma.f64 (exp.f64 (.f64 b eps)) (.f64 eps (.f64 eps #s(literal 1/2 binary64))) (.f64 (.f64 a (.f64 eps (.f64 eps (.f64 eps #s(literal 1/6 binary64))))) (exp.f64 (.f64 b eps)))) (.f64 a a) (.f64 (fma.f64 eps a #s(literal 1 binary64)) (exp.f64 (.f64 b eps)))) #s(literal -1 binary64))
(- (exp (* eps (+ a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (+ a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (+ a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (+ a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (- b (* -1 a)))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (- b (* -1 a)))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (- b (* -1 a)))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (- b (* -1 a)))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 eps a))
(- (+ (exp (* a eps)) (* b (* eps (exp (* a eps))))) 1)
(fma.f64 (fma.f64 b eps #s(literal 1 binary64)) (exp.f64 (*.f64 eps a)) #s(literal -1 binary64))
(- (+ (exp (* a eps)) (* b (+ (* 1/2 (* b (* (pow eps 2) (exp (* a eps))))) (* eps (exp (* a eps)))))) 1)
(+.f64 #s(literal -1 binary64) (fma.f64 (.f64 (exp.f64 (.f64 eps a)) (.f64 b (.f64 eps eps))) (.f64 b #s(literal 1/2 binary64)) (.f64 (fma.f64 b eps #s(literal 1 binary64)) (exp.f64 (*.f64 eps a)))))
(- (+ (exp (* a eps)) (* b (+ (* b (+ (* 1/6 (* b (* (pow eps 3) (exp (* a eps))))) (* 1/2 (* (pow eps 2) (exp (* a eps)))))) (* eps (exp (* a eps)))))) 1)
(+.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 (.f64 b (.f64 eps (.f64 eps (.f64 eps #s(literal 1/6 binary64))))) (exp.f64 (.f64 eps a)) (.f64 (exp.f64 (.f64 eps a)) (.f64 eps (.f64 eps #s(literal 1/2 binary64))))) (.f64 b b) (.f64 (fma.f64 b eps #s(literal 1 binary64)) (exp.f64 (.f64 eps a)))))
(- (exp (* eps (+ a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (+ a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (+ a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (+ a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (- a (* -1 b)))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (- a (* -1 b)))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (- a (* -1 b)))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (- a (* -1 b)))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(* eps (+ a b))
(*.f64 eps (+.f64 b a))
(* eps (+ a (+ b (* 1/2 (* eps (pow (+ a b) 2))))))
(.f64 eps (fma.f64 (.f64 (+.f64 b a) (+.f64 b a)) (*.f64 eps #s(literal 1/2 binary64)) (+.f64 b a)))
(* eps (+ a (+ b (* eps (+ (* 1/6 (* eps (pow (+ a b) 3))) (* 1/2 (pow (+ a b) 2)))))))
(.f64 eps (fma.f64 eps (fma.f64 eps (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (.f64 (+.f64 b a) #s(literal 1/6 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 b a) (+.f64 b a)))) (+.f64 b a)))
(* eps (+ a (+ b (* eps (+ (* 1/2 (pow (+ a b) 2)) (* eps (+ (* 1/24 (* eps (pow (+ a b) 4))) (* 1/6 (pow (+ a b) 3)))))))))
(.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 (pow.f64 (+.f64 b a) #s(literal 4 binary64)) (.f64 eps #s(literal 1/24 binary64)) (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (.f64 (+.f64 b a) #s(literal 1/6 binary64)))) (.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (+.f64 b a)))) (+.f64 b a)))
(- (exp (* eps (+ a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (+ a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (+ a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (+ a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (+ a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (+ a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (+ a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (+ a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(* a eps)
(*.f64 eps a)
(* a (+ eps (* 1/2 (* a (pow eps 2)))))
(.f64 eps (fma.f64 eps (.f64 a (*.f64 a #s(literal 1/2 binary64))) a))
(* a (+ eps (* a (+ (* 1/6 (* a (pow eps 3))) (* 1/2 (pow eps 2))))))
(.f64 a (fma.f64 a (fma.f64 a (.f64 eps (.f64 eps (.f64 eps #s(literal 1/6 binary64)))) (.f64 eps (.f64 eps #s(literal 1/2 binary64)))) eps))
(* a (+ eps (* a (+ (* 1/2 (pow eps 2)) (* a (+ (* 1/24 (* a (pow eps 4))) (* 1/6 (pow eps 3))))))))
(.f64 a (fma.f64 a (fma.f64 a (fma.f64 eps (.f64 eps (.f64 eps #s(literal 1/6 binary64))) (.f64 (pow.f64 eps #s(literal 4 binary64)) (.f64 a #s(literal 1/24 binary64)))) (.f64 eps (*.f64 eps #s(literal 1/2 binary64)))) eps))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 eps a))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 eps a))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 eps a))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 eps a))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 eps a))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 eps a))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 eps a))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 eps a))
(* a eps)
(*.f64 eps a)
(* eps (+ a (* 1/2 (* (pow a 2) eps))))
(.f64 eps (fma.f64 eps (.f64 a (*.f64 a #s(literal 1/2 binary64))) a))
(* eps (+ a (* eps (+ (* 1/6 (* (pow a 3) eps)) (* 1/2 (pow a 2))))))
(.f64 eps (fma.f64 eps (fma.f64 eps (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 a a))) (.f64 a (.f64 a #s(literal 1/2 binary64)))) a))
(* eps (+ a (* eps (+ (* 1/2 (pow a 2)) (* eps (+ (* 1/24 (* (pow a 4) eps)) (* 1/6 (pow a 3))))))))
(.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/6 binary64) (.f64 a (.f64 a a)) (.f64 #s(literal 1/24 binary64) (.f64 eps (pow.f64 a #s(literal 4 binary64))))) (.f64 a (*.f64 a #s(literal 1/2 binary64)))) a))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 eps a))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 eps a))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 eps a))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 eps a))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 eps a))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 eps a))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 eps a))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 eps a))
(* b eps)
(*.f64 b eps)
(* b (+ eps (* 1/2 (* b (pow eps 2)))))
(.f64 b (fma.f64 b (.f64 eps (*.f64 eps #s(literal 1/2 binary64))) eps))
(* b (+ eps (* b (+ (* 1/6 (* b (pow eps 3))) (* 1/2 (pow eps 2))))))
(.f64 b (fma.f64 b (fma.f64 b (.f64 eps (.f64 eps (.f64 eps #s(literal 1/6 binary64)))) (.f64 eps (.f64 eps #s(literal 1/2 binary64)))) eps))
(* b (+ eps (* b (+ (* 1/2 (pow eps 2)) (* b (+ (* 1/24 (* b (pow eps 4))) (* 1/6 (pow eps 3))))))))
(.f64 b (fma.f64 b (fma.f64 b (fma.f64 b (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/24 binary64)) (.f64 eps (.f64 eps (.f64 eps #s(literal 1/6 binary64))))) (.f64 eps (*.f64 eps #s(literal 1/2 binary64)))) eps))
(- (exp (* b eps)) 1)
(expm1.f64 (*.f64 b eps))
(- (exp (* b eps)) 1)
(expm1.f64 (*.f64 b eps))
(- (exp (* b eps)) 1)
(expm1.f64 (*.f64 b eps))
(- (exp (* b eps)) 1)
(expm1.f64 (*.f64 b eps))
(- (exp (* b eps)) 1)
(expm1.f64 (*.f64 b eps))
(- (exp (* b eps)) 1)
(expm1.f64 (*.f64 b eps))
(- (exp (* b eps)) 1)
(expm1.f64 (*.f64 b eps))
(- (exp (* b eps)) 1)
(expm1.f64 (*.f64 b eps))
(* b eps)
(*.f64 b eps)
(* eps (+ b (* 1/2 (* (pow b 2) eps))))
(.f64 b (fma.f64 b (.f64 eps (*.f64 eps #s(literal 1/2 binary64))) eps))
(* eps (+ b (* eps (+ (* 1/6 (* (pow b 3) eps)) (* 1/2 (pow b 2))))))
(.f64 eps (fma.f64 eps (fma.f64 eps (.f64 b (.f64 (.f64 b b) #s(literal 1/6 binary64))) (.f64 b (.f64 b #s(literal 1/2 binary64)))) b))
(* eps (+ b (* eps (+ (* 1/2 (pow b 2)) (* eps (+ (* 1/24 (* (pow b 4) eps)) (* 1/6 (pow b 3))))))))
(.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 b (.f64 (.f64 b b) #s(literal 1/6 binary64)) (.f64 eps (.f64 #s(literal 1/24 binary64) (pow.f64 b #s(literal 4 binary64))))) (.f64 b (*.f64 b #s(literal 1/2 binary64)))) b))
(- (exp (* b eps)) 1)
(expm1.f64 (*.f64 b eps))
(- (exp (* b eps)) 1)
(expm1.f64 (*.f64 b eps))
(- (exp (* b eps)) 1)
(expm1.f64 (*.f64 b eps))
(- (exp (* b eps)) 1)
(expm1.f64 (*.f64 b eps))
(- (exp (* b eps)) 1)
(expm1.f64 (*.f64 b eps))
(- (exp (* b eps)) 1)
(expm1.f64 (*.f64 b eps))
(- (exp (* b eps)) 1)
(expm1.f64 (*.f64 b eps))
(- (exp (* b eps)) 1)
(expm1.f64 (*.f64 b eps))
(/ (+ a b) (* a b))
(/.f64 (+.f64 b a) (*.f64 b a))
(+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
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eval49.0ms (0.2%)

Memory: 4.6MiB live, 78.5MiB allocated
Compiler: Compiled 17 346 to 1 535 computations (91.2% saved)

prune101.0ms (0.4%)

Memory

4.6MiB live, 120.0MiB 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

98.9%

Counts

485 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	15.5%	(fma.f64 eps (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 b a) (+.f64 b a)) (.f64 b a)) (/.f64 (.f64 (+.f64 b a) (.f64 #s(literal -1/2 binary64) (fma.f64 b (.f64 b a) (.f64 b (.f64 a a))))) (.f64 b (.f64 b (.f64 a a))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
	39.9%	(/.f64 (fma.f64 b (.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps a))) #s(literal -1/2 binary64))) #s(literal 1 binary64)) b)
▶	43.2%	(/.f64 (fma.f64 a (.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 b eps))) #s(literal -1/2 binary64))) #s(literal 1 binary64)) a)
▶	59.6%	(/.f64 (+.f64 b a) (*.f64 b a))
▶	50.5%	(/.f64 #s(literal 1 binary64) b)
▶	49.5%	(/.f64 #s(literal 1 binary64) a)

Compiler

Compiled 226 to 128 computations (43.4% saved)

simplify445.0ms (1.6%)

Memory

27.9MiB live, 619.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

15 394×	`lower-fma.f32`
15 390×	`lower-fma.f64`
4 472×	`lower-*.f32`
4 454×	`lower-*.f64`
3 786×	`lower-+.f32`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	31	311
0	60	343
1	136	329
2	429	314
3	1981	290
4	4618	282
5	5659	258
6	6020	222
7	6143	220
8	6176	216
9	7027	216
0	8375	216

Stop Event

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

Calls

Call 1

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

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

localize234.0ms (0.8%)

Memory

1.4MiB live, 398.4MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))
✓	accuracy	99.8%	(/.f64 (fma.f64 a (.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 b eps))) #s(literal -1/2 binary64))) #s(literal 1 binary64)) a)
✓	accuracy	99.8%	(fma.f64 a (.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 b eps))) #s(literal -1/2 binary64))) #s(literal 1 binary64))
✓	accuracy	43.4%	(.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 b eps))) #s(literal -1/2 binary64)))
✓	accuracy	99.9%	(.f64 b (.f64 a a))
✓	accuracy	99.9%	(.f64 (+.f64 b a) (.f64 #s(literal -1/2 binary64) (fma.f64 b (.f64 b a) (.f64 b (*.f64 a a)))))
✓	accuracy	57.9%	(/.f64 (.f64 (+.f64 b a) (+.f64 b a)) (.f64 b a))
✓	accuracy	16.4%	(/.f64 (.f64 (+.f64 b a) (.f64 #s(literal -1/2 binary64) (fma.f64 b (.f64 b a) (.f64 b (.f64 a a))))) (.f64 b (.f64 b (.f64 a a))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) b)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) a)
✓	accuracy	100.0%	(+.f64 b a)
✓	accuracy	100.0%	(*.f64 b a)
✓	accuracy	59.6%	(/.f64 (+.f64 b a) (*.f64 b a))

Samples

166.0ms

256×

valid

Compiler

Compiled 336 to 37 computations (89% saved)

Precisions

Click to see histograms. Total time spent on operations: 121.0ms

ival-mult: 40.0ms (33.2% of total)

adjust: 28.0ms (23.2% of total)

ival-div: 27.0ms (22.4% of total)

ival-add: 18.0ms (14.9% of total)

ival-exp: 4.0ms (3.3% of total)

ival-expm1: 3.0ms (2.5% of total)

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

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

exact: 0.0ms (0% of total)

series101.0ms (0.4%)

Memory

33.1MiB live, 137.6MiB allocated

Counts

17 → 420

Calls

Call 1

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

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

Calls

105 calls:

Time	Variable		Point	Expression
18.0ms	a	@	0	(/ (+ (* a (* eps (+ (/ (exp (* b eps)) (- (exp (* b eps)) 1)) -1/2))) 1) a)
10.0ms	a	@	inf	(+ (* 1/2 (/ (* (+ b a) (+ b a)) (* b a))) (/ (* (+ b a) (* -1/2 (+ (* b (* b a)) (* b (* a a))))) (* b (* b (* a a)))))
3.0ms	b	@	inf	(+ (* 1/2 (/ (* (+ b a) (+ b a)) (* b a))) (/ (* (+ b a) (* -1/2 (+ (* b (* b a)) (* b (* a a))))) (* b (* b (* a a)))))
3.0ms	b	@	-inf	(+ (* 1/2 (/ (* (+ b a) (+ b a)) (* b a))) (/ (* (+ b a) (* -1/2 (+ (* b (* b a)) (* b (* a a))))) (* b (* b (* a a)))))
3.0ms	a	@	-inf	(+ (* 1/2 (/ (* (+ b a) (+ b a)) (* b a))) (/ (* (+ b a) (* -1/2 (+ (* b (* b a)) (* b (* a a))))) (* b (* b (* a a)))))

rewrite482.0ms (1.7%)

Memory

-16.7MiB live, 641.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 096×	`lower-fma.f32`
5 088×	`lower-fma.f64`
4 436×	`lower-/.f32`
4 422×	`lower-/.f64`
4 382×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	235
0	60	224
1	281	214
2	2790	208
0	9381	208

Stop Event

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

Counts

17 → 677

Calls

Call 1

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

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

simplify426.0ms (1.5%)

Memory

-6.0MiB live, 746.7MiB allocated

Algorithm

1×	egg-herbie

Rules

13 232×	`lower-fma.f64`
13 232×	`lower-fma.f32`
5 920×	`lower-*.f64`
5 920×	`lower-*.f32`
4 510×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 414

Calls

Call 1

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

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

eval284.0ms (1%)

Memory: -15.0MiB live, 382.2MiB allocated
Compiler: Compiled 55 455 to 3 359 computations (93.9% saved)

prune270.0ms (1%)

Memory

9.1MiB live, 323.3MiB allocated

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	1 364	3	1 367
Fresh	0	1	1
Picked	2	3	5
Done	0	0	0
Total	1 366	7	1 373

Accuracy

100.0%

Counts

1 373 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	39.9%	(/.f64 (fma.f64 b (.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps a))) #s(literal -1/2 binary64))) #s(literal 1 binary64)) b)
▶	50.4%	(/.f64 (/.f64 a b) a)
✓	59.6%	(/.f64 (+.f64 b a) (*.f64 b a))
▶	99.8%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
✓	50.5%	(/.f64 #s(literal 1 binary64) b)
✓	49.5%	(/.f64 #s(literal 1 binary64) a)
▶	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))

Compiler

Compiled 71 to 48 computations (32.4% saved)

simplify11.0ms (0%)

Memory

22.6MiB live, 22.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (.f64 eps a))) #s(literal -1/2 binary64))
✓	cost-diff	0	(.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps a))) #s(literal -1/2 binary64)))
✓	cost-diff	0	(fma.f64 b (.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps a))) #s(literal -1/2 binary64))) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 b (.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps a))) #s(literal -1/2 binary64))) #s(literal 1 binary64)) b)
✓	cost-diff	0	(/.f64 a b)
✓	cost-diff	704	(/.f64 (/.f64 a b) a)
✓	cost-diff	0	(/.f64 a b)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 a b))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) a)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) b)
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))

Rules

144×	`lower-fma.f32`
142×	`lower-fma.f64`
120×	`lower-*.f32`
116×	`lower-*.f64`
48×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	127
0	36	125
1	60	125
2	101	125
3	163	125
4	189	125
5	199	125
6	205	125
0	205	125

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize148.0ms (0.5%)

Memory

1.8MiB live, 114.7MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(fma.f64 b (.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps a))) #s(literal -1/2 binary64))) #s(literal 1 binary64))
✓	accuracy	99.8%	(/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (.f64 eps a)))
✓	accuracy	99.8%	(/.f64 (fma.f64 b (.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps a))) #s(literal -1/2 binary64))) #s(literal 1 binary64)) b)
✓	accuracy	40.2%	(.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps a))) #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(/.f64 a b)
✓	accuracy	99.6%	(/.f64 (/.f64 a b) a)
✓	accuracy	100.0%	(/.f64 a b)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 a b))
✓	accuracy	99.8%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) b)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) a)
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))

Samples

122.0ms

256×

valid

Compiler

Compiled 143 to 23 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

ival-div: 55.0ms (57.8% of total)

ival-add: 31.0ms (32.6% of total)

ival-mult: 4.0ms (4.2% of total)

ival-exp: 2.0ms (2.1% of total)

ival-expm1: 1.0ms (1.1% of total)

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

exact: 0.0ms (0% of total)

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

series103.0ms (0.4%)

Memory

7.5MiB live, 45.0MiB allocated

Counts

12 → 288

Calls

Call 1

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

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

Calls

72 calls:

Time	Variable		Point	Expression
76.0ms	a	@	inf	(/ (+ (* b (* eps (+ (/ (exp (* eps a)) (- (exp (* eps a)) 1)) -1/2))) 1) b)
2.0ms	eps	@	0	(/ (+ (* b (* eps (+ (/ (exp (* eps a)) (- (exp (* eps a)) 1)) -1/2))) 1) b)
2.0ms	eps	@	0	(+ (/ (exp (* eps a)) (- (exp (* eps a)) 1)) -1/2)
2.0ms	a	@	-inf	(/ (+ (* b (* eps (+ (/ (exp (* eps a)) (- (exp (* eps a)) 1)) -1/2))) 1) b)
1.0ms	eps	@	-inf	(/ (+ (* b (* eps (+ (/ (exp (* eps a)) (- (exp (* eps a)) 1)) -1/2))) 1) b)

rewrite672.0ms (2.4%)

Memory

-10.5MiB live, 546.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 194×	`lower-/.f32`
5 180×	`lower-/.f64`
4 020×	`lower-*.f32`
4 016×	`lower-*.f64`
3 868×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	100
0	36	100
1	162	100
2	1422	100
0	8323	100

Stop Event

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

Counts

12 → 470

Calls

Call 1

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

Outputs
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(-.f64 (/.f64 (/.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))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (/.f64 (-.f64 b a) (.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 (-.f64 b a) (.f64 b a))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(fma.f64 (/.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) a) (/.f64 #s(literal 1 binary64) b))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(fma.f64 (pow.f64 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))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) (+.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b a) (+.f64 b a)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (/.f64 (/.f64 (-.f64 a b) (.f64 b a)) b)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b))) (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 b (neg.f64 a)) (fma.f64 #s(literal 1 binary64) (neg.f64 a) (.f64 b #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 b) a) (+.f64 (neg.f64 a) (.f64 (neg.f64 b) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 b) (neg.f64 a)) (fma.f64 #s(literal -1 binary64) (neg.f64 a) (.f64 (neg.f64 b) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a (neg.f64 b)) (fma.f64 #s(literal 1 binary64) (neg.f64 b) (.f64 a #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 a) b) (+.f64 (neg.f64 b) (.f64 (neg.f64 a) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 a) (neg.f64 b)) (fma.f64 #s(literal -1 binary64) (neg.f64 b) (.f64 (neg.f64 a) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (+.f64 b a) b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b a) (+.f64 b a))))
(/.f64 (+.f64 b a) (*.f64 b a))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b))) (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) a)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b))) (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (/.f64 (/.f64 (-.f64 a b) (.f64 b 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 #s(literal 1 binary64) (neg.f64 a) (.f64 b #s(literal -1 binary64))) (.f64 b (neg.f64 a)))
(/.f64 (+.f64 (neg.f64 a) (.f64 (neg.f64 b) #s(literal 1 binary64))) (.f64 (neg.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 (fma.f64 #s(literal 1 binary64) (neg.f64 b) (.f64 a #s(literal -1 binary64))) (.f64 a (neg.f64 b)))
(/.f64 (+.f64 (neg.f64 b) (.f64 (neg.f64 a) #s(literal 1 binary64))) (.f64 (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 (neg.f64 (+.f64 b a)) (neg.f64 (*.f64 b a)))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b))) (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) a))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b))) (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (/.f64 (/.f64 (-.f64 a b) (.f64 b 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 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (.f64 b b))) (/.f64 (-.f64 b a) (*.f64 b a)))
(/.f64 (/.f64 (+.f64 b a) b) a)
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 a)) b) (*.f64 b (neg.f64 (neg.f64 a))))
(/.f64 (+.f64 a (.f64 (neg.f64 (neg.f64 b)) #s(literal 1 binary64))) (.f64 (neg.f64 (neg.f64 b)) a))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 a)) (.f64 (neg.f64 (neg.f64 b)) #s(literal 1 binary64))) (.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 a))))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 a) (.f64 (neg.f64 (neg.f64 b)) #s(literal -1 binary64))) (.f64 (neg.f64 (neg.f64 b)) (neg.f64 a)))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 a)) (.f64 (neg.f64 b) #s(literal 1 binary64))) (.f64 (neg.f64 b) (neg.f64 (neg.f64 a))))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 b)) a) (*.f64 a (neg.f64 (neg.f64 b))))
(/.f64 (+.f64 b (.f64 (neg.f64 (neg.f64 a)) #s(literal 1 binary64))) (.f64 (neg.f64 (neg.f64 a)) b))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 b)) (.f64 (neg.f64 (neg.f64 a)) #s(literal 1 binary64))) (.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 b))))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 b) (.f64 (neg.f64 (neg.f64 a)) #s(literal -1 binary64))) (.f64 (neg.f64 (neg.f64 a)) (neg.f64 b)))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 b)) (.f64 (neg.f64 a) #s(literal 1 binary64))) (.f64 (neg.f64 a) (neg.f64 (neg.f64 b))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 (-.f64 a b) (.f64 b a))) (.f64 (/.f64 (-.f64 a b) (.f64 b a)) (/.f64 #s(literal 1 binary64) (.f64 a a)))) (.f64 (/.f64 (-.f64 a b) (.f64 b a)) (/.f64 (-.f64 a b) (*.f64 b a))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 a) (.f64 b #s(literal -1 binary64)))) (neg.f64 (.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 b) a)))
(/.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 (fma.f64 #s(literal 1 binary64) (neg.f64 b) (.f64 a #s(literal -1 binary64)))) (neg.f64 (.f64 a (neg.f64 b))))
(/.f64 (neg.f64 (+.f64 (neg.f64 b) (.f64 (neg.f64 a) #s(literal 1 binary64)))) (neg.f64 (.f64 (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 (neg.f64 (+.f64 b a))) (neg.f64 (neg.f64 (*.f64 b a))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b))) (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))))) (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) a)))))
(/.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 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (.f64 b b)))) (neg.f64 (/.f64 (-.f64 b a) (*.f64 b a))))
(/.f64 (neg.f64 (/.f64 (+.f64 b a) b)) (neg.f64 a))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 (-.f64 a b) (.f64 b a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (/.f64 (-.f64 a b) (.f64 b a))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 (-.f64 a b) (.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 (-.f64 a b) (.f64 b a))) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (/.f64 (-.f64 a b) (.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (/.f64 (-.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)))))))
(pow.f64 (/.f64 (*.f64 b a) (+.f64 b a)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 b a) (.f64 b a)))
(.f64 (+.f64 b a) (/.f64 #s(literal 1 binary64) (.f64 b a)))
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b))) (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) a))))
(.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 (/.f64 (+.f64 b a) (.f64 b a)) #s(literal 1 binary64)) (/.f64 (/.f64 (-.f64 a b) (.f64 b a)) (/.f64 (-.f64 a b) (.f64 b a))))
(exp.f64 (neg.f64 (log.f64 b)))
(neg.f64 (/.f64 #s(literal -1 binary64) b))
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 b)))
(/.f64 #s(literal -1 binary64) (neg.f64 b))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 b))))
(pow.f64 b #s(literal -1 binary64))
(pow.f64 (*.f64 b b) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (neg.f64 b)) #s(literal -1 binary64))
(pow.f64 (pow.f64 b #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) b))
(*.f64 (pow.f64 b #s(literal -1/2 binary64)) (pow.f64 b #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (log.f64 a)))
(neg.f64 (/.f64 #s(literal -1 binary64) a))
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 a)))
(/.f64 #s(literal -1 binary64) (neg.f64 a))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 a))))
(pow.f64 a #s(literal -1 binary64))
(pow.f64 (*.f64 a a) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (neg.f64 a)) #s(literal -1 binary64))
(pow.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) a))
(*.f64 (pow.f64 a #s(literal -1/2 binary64)) (pow.f64 a #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (/.f64 a b)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) (neg.f64 a)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 a b))) a) (/.f64 (/.f64 (/.f64 (.f64 a a) (.f64 b b)) (-.f64 #s(literal 1 binary64) (/.f64 a b))) a))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 a (-.f64 #s(literal 1 binary64) (/.f64 a b)))) (/.f64 (/.f64 (.f64 a a) (.f64 b b)) (.f64 a (-.f64 #s(literal 1 binary64) (/.f64 a b)))))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) (neg.f64 a)))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 a (neg.f64 b))) a))
(/.f64 #s(literal 1 binary64) (/.f64 a (+.f64 #s(literal 1 binary64) (/.f64 a b))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (/.f64 a b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a (fma.f64 (/.f64 a b) (-.f64 (/.f64 a b) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 a a)) (.f64 b (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a (-.f64 #s(literal 1 binary64) (/.f64 a b))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a a) (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (/.f64 a b) (-.f64 (/.f64 a b) #s(literal 1 binary64)) #s(literal 1 binary64)) a) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (/.f64 a b) (-.f64 (/.f64 a b) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a a) (.f64 b b))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) (neg.f64 a)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a a) (.f64 b b))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 a b) (-.f64 (/.f64 a b) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 a a)) (.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a a) (*.f64 b b))) (/.f64 #s(literal 1 binary64) a))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (/.f64 a b)))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 a (neg.f64 b))) (neg.f64 a))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (*.f64 a (fma.f64 (/.f64 a b) (-.f64 (/.f64 a b) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a a) (.f64 b b))) (*.f64 a (-.f64 #s(literal 1 binary64) (/.f64 a b))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 a b) (-.f64 (/.f64 a b) #s(literal 1 binary64)) #s(literal 1 binary64)) a))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) #s(literal -1 binary64)) (.f64 (fma.f64 (/.f64 a b) (-.f64 (/.f64 a b) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 a)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a a) (.f64 b b))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a a) (.f64 b b))) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) (neg.f64 a)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 a (neg.f64 b)))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))))) (neg.f64 (*.f64 a (fma.f64 (/.f64 a b) (-.f64 (/.f64 a b) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a a) (.f64 b b)))) (neg.f64 (*.f64 a (-.f64 #s(literal 1 binary64) (/.f64 a b)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) #s(literal 1 binary64)) a)
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) #s(literal -1 binary64)) (neg.f64 a))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 a a)) (.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) a)) (fma.f64 (/.f64 a b) (-.f64 (/.f64 a b) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a a) (*.f64 b b))) (/.f64 #s(literal 1 binary64) a)) (-.f64 #s(literal 1 binary64) (/.f64 a b)))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 (/.f64 a b) (-.f64 (/.f64 a b) #s(literal 1 binary64)) #s(literal 1 binary64)) a)))
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(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (expm1.f64 (.f64 a eps)) (exp.f64 (neg.f64 (.f64 a eps)))) #s(literal -2 binary64)) (+.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (expm1.f64 (.f64 a eps)) (exp.f64 (neg.f64 (.f64 a eps)))) #s(literal -2 binary64)) (+.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) (/.f64 (pow.f64 (.f64 (expm1.f64 (.f64 a eps)) (exp.f64 (neg.f64 (.f64 a eps)))) #s(literal -2 binary64)) (+.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) (.f64 (/.f64 (pow.f64 (.f64 (expm1.f64 (.f64 a eps)) (exp.f64 (neg.f64 (.f64 a eps)))) #s(literal -2 binary64)) (+.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps))) #s(literal 1/2 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(.f64 (+.f64 (pow.f64 (.f64 (expm1.f64 (.f64 a eps)) (exp.f64 (neg.f64 (.f64 a eps)))) #s(literal -3 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (exp.f64 (.f64 eps (+.f64 a a))) (pow.f64 (expm1.f64 (.f64 a eps)) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (/.f64 (.f64 (exp.f64 (.f64 a eps)) #s(literal -1/2 binary64)) (expm1.f64 (*.f64 a eps))))))
(.f64 (fma.f64 (exp.f64 (.f64 eps (+.f64 a a))) (pow.f64 (expm1.f64 (.f64 a eps)) #s(literal -2 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps))) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (expm1.f64 (.f64 a eps)) (exp.f64 (neg.f64 (.f64 a eps))))) #s(literal -1 binary64)))
(-.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)))))
(neg.f64 (/.f64 (exp.f64 (.f64 a eps)) (neg.f64 (expm1.f64 (.f64 a eps)))))
(neg.f64 (/.f64 (neg.f64 (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps))))
(/.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 a eps)) (exp.f64 (neg.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 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (expm1.f64 (.f64 a eps)) (exp.f64 (neg.f64 (*.f64 a eps))))))
(/.f64 (neg.f64 (exp.f64 (.f64 a eps))) (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 (neg.f64 (neg.f64 (exp.f64 (.f64 a eps))))) (neg.f64 (neg.f64 (neg.f64 (expm1.f64 (.f64 a eps))))))
(pow.f64 (.f64 (expm1.f64 (.f64 a eps)) (exp.f64 (neg.f64 (*.f64 a eps)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps))))
(.f64 (exp.f64 (.f64 a eps)) (/.f64 #s(literal 1 binary64) (expm1.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 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 a eps))) (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 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 (.f64 a eps) #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 eps (+.f64 a a))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a eps)))))
(.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 (.f64 a eps) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 eps (+.f64 a a))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a eps)))))))
(.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 eps (+.f64 a a)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a eps))))
(.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 eps (+.f64 a a)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a eps))))))
(.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (.f64 a eps) #s(literal 3 binary64)))) (/.f64 (exp.f64 (.f64 a eps)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 eps (+.f64 a a))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a eps)))))))
(.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 eps (+.f64 a a)))) (/.f64 (exp.f64 (.f64 a eps)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a eps))))))
(.f64 (/.f64 (exp.f64 (.f64 eps (/.f64 a #s(literal 2 binary64)))) (expm1.f64 (.f64 (.f64 a eps) #s(literal 3 binary64)))) (/.f64 (exp.f64 (.f64 eps (/.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 eps (+.f64 a a))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps)))))))
(.f64 (/.f64 (exp.f64 (.f64 eps (/.f64 a #s(literal 2 binary64)))) (expm1.f64 (.f64 eps (+.f64 a a)))) (/.f64 (exp.f64 (.f64 eps (/.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps))))))

simplify770.0ms (2.8%)

Memory

-33.8MiB live, 595.5MiB allocated

Algorithm

1×	egg-herbie

Rules

9 808×	`lower-fma.f64`
9 808×	`lower-fma.f32`
4 750×	`lower-+.f64`
4 750×	`lower-+.f32`
4 084×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	232	3738
1	633	3354
2	1987	3174
0	8136	2838

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

Inputs
(/ 1 b)
(/ (+ 1 (/ b a)) b)
(/ (+ 1 (/ b a)) b)
(/ (+ 1 (/ b a)) b)
(/ 1 a)
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(/ 1 a)
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(/ 1 a)
(/ (+ 1 (/ a b)) a)
(/ (+ 1 (/ a b)) a)
(/ (+ 1 (/ a b)) a)
(/ 1 b)
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(/ 1 b)
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 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))
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) 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))
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 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)
(* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))
(+ (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) (/ 1 b))
(+ (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) (/ 1 b))
(+ (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) (/ 1 b))
(* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))
(+ (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) (/ 1 b))
(+ (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) (/ 1 b))
(+ (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) (/ 1 b))
(/ (+ 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)
(/ (+ 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
(+ 1 (* b (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))))
(+ 1 (* b (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))))
(+ 1 (* b (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))))
(* b (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)))
(* b (+ (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) (/ 1 b)))
(* b (+ (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) (/ 1 b)))
(* b (+ (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) (/ 1 b)))
(* b (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)))
(* -1 (* b (- (* -1 (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))) (/ 1 b))))
(* -1 (* b (- (* -1 (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))) (/ 1 b))))
(* -1 (* b (- (* -1 (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))) (/ 1 b))))
(+ 1 (/ b a))
(+ 1 (+ (* b (* (pow eps 2) (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a))))) (/ b a)))
(+ 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)))
(+ 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)))
(* b (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)))
(* eps (+ (* b (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) (/ 1 eps)))
(* eps (+ (* b (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) (/ 1 eps)))
(* eps (+ (* b (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) (/ 1 eps)))
(* b (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)))
(* -1 (* eps (- (* -1 (* b (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))) (/ 1 eps))))
(* -1 (* eps (- (* -1 (* b (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))) (/ 1 eps))))
(* -1 (* eps (- (* -1 (* b (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))) (/ 1 eps))))
(/ b a)
(/ (+ a b) a)
(/ (+ b (* a (+ 1 (* a (* b (* eps (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps))))))))) a)
(/ (+ b (* a (+ 1 (* a (+ (* a (* b (* 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))))))))))) (* b (* eps (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps)))))))))) a)
(+ 1 (* b (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))))
(+ 1 (* b (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))))
(+ 1 (* b (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))))
(+ 1 (* b (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))))
(+ 1 (* b (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))))
(+ 1 (* b (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))))
(+ 1 (* b (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))))
(+ 1 (* b (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))))
(/ 1 a)
(+ (* (pow eps 2) (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))) (/ 1 a))
(+ (* (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))
(+ (* (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))
(* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))
(* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))
(* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))
(* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))
(* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))
(* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))
(* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))
(* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))
(/ 1 a)
(/ (+ 1 (* (pow a 2) (* eps (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps)))))) a)
(/ (+ 1 (* (pow a 2) (+ (* 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))))))) a)
(/ (+ 1 (* (pow a 2) (+ (* a (+ (* a (* eps (- (* 1/24 (pow eps 3)) (+ (* 1/120 (pow eps 3)) (+ (* 1/48 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps))))) (* 1/2 (* 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 (- (* 1/6 (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))))))) a)
(* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))
(* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))
(* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))
(* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))
(* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))
(* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))
(* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))
(* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))
(/ 1 (* a eps))
(/ (+ (* (pow eps 2) (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))) (/ 1 a)) eps)
(/ (+ (* (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)) eps)
(/ (+ (* (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)) eps)
(- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)
(- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)
(- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)
(- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)
(- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)
(- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)
(- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)
(- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)
(/ 1 (* a eps))
(/ (+ (* (pow a 2) (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps)))) (/ 1 eps)) a)
(/ (+ (* (pow a 2) (- (+ (* 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)
(/ (+ (* (pow a 2) (- (+ (* 1/2 eps) (* a (- (+ (* 1/6 (pow eps 2)) (* a (- (* 1/24 (pow eps 3)) (+ (* 1/120 (pow eps 3)) (+ (* 1/48 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps))))) (* 1/2 (* 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)))))))))))))))) (+ (* 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)
(- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)
(- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)
(- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)
(- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)
(- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)
(- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)
(- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)
(- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)
(/ 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))
(/ 1 (* a eps))
(/ (+ (* 1/2 a) (/ 1 eps)) a)
(/ (+ (* a (+ 1/2 (* a (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps)))))) (/ 1 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)
(/ (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
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ (+ 1 (/ b a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/ (+ 1 (/ b a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/ (+ 1 (/ b a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ (+ 1 (/ a b)) a)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/ (+ 1 (/ a b)) a)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/ (+ 1 (/ a b)) a)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ (+ 1 (/ a b)) a)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/ (+ 1 (/ a b)) a)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/ (+ 1 (/ a b)) a)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ (+ 1 (/ b a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/ (+ 1 (/ b a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/ (+ 1 (/ b a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
1
#s(literal 1 binary64)
(+ 1 (/ a b))
(+.f64 #s(literal 1 binary64) (/.f64 a b))
(+ 1 (/ a b))
(+.f64 #s(literal 1 binary64) (/.f64 a b))
(+ 1 (/ a b))
(+.f64 #s(literal 1 binary64) (/.f64 a b))
(/ a b)
(/.f64 a b)
(* a (+ (/ 1 a) (/ 1 b)))
(+.f64 #s(literal 1 binary64) (/.f64 a b))
(* a (+ (/ 1 a) (/ 1 b)))
(+.f64 #s(literal 1 binary64) (/.f64 a b))
(* a (+ (/ 1 a) (/ 1 b)))
(+.f64 #s(literal 1 binary64) (/.f64 a b))
(/ a b)
(/.f64 a b)
(* a (+ (/ 1 a) (/ 1 b)))
(+.f64 #s(literal 1 binary64) (/.f64 a b))
(* a (+ (/ 1 a) (/ 1 b)))
(+.f64 #s(literal 1 binary64) (/.f64 a b))
(* a (+ (/ 1 a) (/ 1 b)))
(+.f64 #s(literal 1 binary64) (/.f64 a b))
(/ 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 #s(literal 1 binary64) (/.f64 a b))
(+ 1 (/ a b))
(+.f64 #s(literal 1 binary64) (/.f64 a b))
(+ 1 (/ a b))
(+.f64 #s(literal 1 binary64) (/.f64 a b))
1
#s(literal 1 binary64)
(+ 1 (/ a b))
(+.f64 #s(literal 1 binary64) (/.f64 a b))
(+ 1 (/ a b))
(+.f64 #s(literal 1 binary64) (/.f64 a b))
(+ 1 (/ a b))
(+.f64 #s(literal 1 binary64) (/.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)
(/ a b)
(/.f64 a b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ (+ 1 (* b (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)))) b)
(.f64 (fma.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) b)) #s(literal 1 binary64))
(/ (+ 1 (* b (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)))) b)
(.f64 (fma.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) b)) #s(literal 1 binary64))
(/ (+ 1 (* b (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)))) b)
(.f64 (fma.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) b)) #s(literal 1 binary64))
(* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))
(.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps))) #s(literal -1/2 binary64)))
(+ (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) (/ 1 b))
(fma.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) b))
(+ (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) (/ 1 b))
(fma.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) b))
(+ (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) (/ 1 b))
(fma.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) b))
(* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))
(.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps))) #s(literal -1/2 binary64)))
(+ (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) (/ 1 b))
(fma.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) b))
(+ (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) (/ 1 b))
(fma.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) b))
(+ (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) (/ 1 b))
(fma.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) b))
(/ (+ 1 (/ b a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(+ (* (pow eps 2) (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))) (+ (/ 1 a) (/ 1 b)))
(+.f64 (/.f64 #s(literal 1 binary64) b) (fma.f64 eps (.f64 eps (.f64 a #s(literal 1/12 binary64))) (/.f64 #s(literal 1 binary64) a)))
(+ (* (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)))
(fma.f64 (.f64 eps eps) (fma.f64 eps (fma.f64 a (.f64 a #s(literal 1/24 binary64)) (.f64 (.f64 a (.f64 a #s(literal 1/12 binary64))) #s(literal -1/2 binary64))) (.f64 a #s(literal 1/12 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))
(+ (* (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)))
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(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ (+ 1 (* (pow a 2) (* eps (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps)))))) a)
(/.f64 (fma.f64 a (.f64 a (.f64 (*.f64 eps eps) #s(literal 1/12 binary64))) #s(literal 1 binary64)) a)
(/ (+ 1 (* (pow a 2) (+ (* 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))))))) a)
(/.f64 (fma.f64 a (.f64 (.f64 a eps) (fma.f64 a (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) (.f64 (.f64 (.f64 eps eps) #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (*.f64 eps #s(literal 1/12 binary64)))) #s(literal 1 binary64)) a)
(/ (+ 1 (* (pow a 2) (+ (* a (+ (* a (* eps (- (* 1/24 (pow eps 3)) (+ (* 1/120 (pow eps 3)) (+ (* 1/48 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps))))) (* 1/2 (* 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 (- (* 1/6 (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))))))) a)
(/.f64 (fma.f64 a (.f64 a (fma.f64 a (.f64 eps (fma.f64 a (-.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal 1/80 binary64)) (fma.f64 (.f64 eps #s(literal 1/2 binary64)) (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) (.f64 (.f64 (.f64 eps eps) #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (.f64 (.f64 eps eps) (.f64 #s(literal 1/6 binary64) (.f64 eps #s(literal 1/12 binary64)))))) (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) (.f64 (.f64 (.f64 eps eps) #s(literal 1/12 binary64)) #s(literal -1/2 binary64))))) (.f64 (.f64 eps eps) #s(literal 1/12 binary64)))) #s(literal 1 binary64)) a)
(* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))
(.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps))) #s(literal -1/2 binary64)))
(* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))
(.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps))) #s(literal -1/2 binary64)))
(* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))
(.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps))) #s(literal -1/2 binary64)))
(* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))
(.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps))) #s(literal -1/2 binary64)))
(* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))
(.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps))) #s(literal -1/2 binary64)))
(* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))
(.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps))) #s(literal -1/2 binary64)))
(* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))
(.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps))) #s(literal -1/2 binary64)))
(* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))
(.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps))) #s(literal -1/2 binary64)))
(/ 1 (* a eps))
(/.f64 #s(literal 1 binary64) (*.f64 a eps))
(/ (+ (* (pow eps 2) (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))) (/ 1 a)) eps)
(/.f64 (fma.f64 eps (.f64 eps (.f64 a #s(literal 1/12 binary64))) (/.f64 #s(literal 1 binary64) a)) eps)
(/ (+ (* (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)) eps)
(/.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (fma.f64 a (.f64 a #s(literal 1/24 binary64)) (.f64 (.f64 a (.f64 a #s(literal 1/12 binary64))) #s(literal -1/2 binary64))) (.f64 a #s(literal 1/12 binary64))) (/.f64 #s(literal 1 binary64) a)) eps)
(/ (+ (* (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)) eps)
(/.f64 (fma.f64 eps (.f64 eps (fma.f64 eps (fma.f64 eps (-.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/80 binary64)) (fma.f64 (.f64 a #s(literal 1/2 binary64)) (fma.f64 a (.f64 a #s(literal 1/24 binary64)) (.f64 (.f64 a (.f64 a #s(literal 1/12 binary64))) #s(literal -1/2 binary64))) (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 a (.f64 a #s(literal 1/12 binary64))))))) (fma.f64 a (.f64 a #s(literal 1/24 binary64)) (.f64 (.f64 a (.f64 a #s(literal 1/12 binary64))) #s(literal -1/2 binary64)))) (.f64 a #s(literal 1/12 binary64)))) (/.f64 #s(literal 1 binary64) a)) eps)
(- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)
(+.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal -1/2 binary64))
(- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)
(+.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal -1/2 binary64))
(- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)
(+.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal -1/2 binary64))
(- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)
(+.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal -1/2 binary64))
(- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)
(+.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal -1/2 binary64))
(- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)
(+.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal -1/2 binary64))
(- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)
(+.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal -1/2 binary64))
(- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)
(+.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal -1/2 binary64))
(/ 1 (* a eps))
(/.f64 #s(literal 1 binary64) (*.f64 a eps))
(/ (+ (* (pow a 2) (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps)))) (/ 1 eps)) a)
(/.f64 (fma.f64 a (.f64 a (.f64 eps #s(literal 1/12 binary64))) (/.f64 #s(literal 1 binary64) eps)) a)
(/ (+ (* (pow a 2) (- (+ (* 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 (.f64 a a) (fma.f64 a (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) (.f64 (.f64 (.f64 eps eps) #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (.f64 eps #s(literal 1/12 binary64))) (/.f64 #s(literal 1 binary64) eps)) a)
(/ (+ (* (pow a 2) (- (+ (* 1/2 eps) (* a (- (+ (* 1/6 (pow eps 2)) (* a (- (* 1/24 (pow eps 3)) (+ (* 1/120 (pow eps 3)) (+ (* 1/48 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps))))) (* 1/2 (* 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)))))))))))))))) (+ (* 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 (.f64 a a) (fma.f64 a (fma.f64 a (-.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal 1/80 binary64)) (fma.f64 (.f64 eps #s(literal 1/2 binary64)) (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) (.f64 (.f64 (.f64 eps eps) #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (.f64 (.f64 eps eps) (.f64 #s(literal 1/6 binary64) (.f64 eps #s(literal 1/12 binary64)))))) (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) (.f64 (.f64 (.f64 eps eps) #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))) (.f64 eps #s(literal 1/12 binary64))) (/.f64 #s(literal 1 binary64) eps)) a)
(- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)
(+.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal -1/2 binary64))
(- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)
(+.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal -1/2 binary64))
(- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)
(+.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal -1/2 binary64))
(- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)
(+.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal -1/2 binary64))
(- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)
(+.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal -1/2 binary64))
(- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)
(+.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal -1/2 binary64))
(- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)
(+.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal -1/2 binary64))
(- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)
(+.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal -1/2 binary64))
(/ 1 (* a eps))
(/.f64 #s(literal 1 binary64) (*.f64 a eps))
(/ (+ (* 1/2 eps) (/ 1 a)) eps)
(/.f64 (fma.f64 eps #s(literal 1/2 binary64) (/.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 eps (fma.f64 eps (*.f64 a #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) (/.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 eps (fma.f64 eps (fma.f64 eps (fma.f64 a (.f64 a #s(literal 1/24 binary64)) (.f64 (.f64 a (.f64 a #s(literal 1/12 binary64))) #s(literal -1/2 binary64))) (*.f64 a #s(literal 1/12 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) eps)
(/ (exp (* a eps)) (- (exp (* a eps)) 1))
(/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))
(/ (exp (* a eps)) (- (exp (* a eps)) 1))
(/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))
(/ (exp (* a eps)) (- (exp (* a eps)) 1))
(/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))
(/ (exp (* a eps)) (- (exp (* a eps)) 1))
(/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))
(/ (exp (* a eps)) (- (exp (* a eps)) 1))
(/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))
(/ (exp (* a eps)) (- (exp (* a eps)) 1))
(/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))
(/ (exp (* a eps)) (- (exp (* a eps)) 1))
(/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))
(/ (exp (* a eps)) (- (exp (* a eps)) 1))
(/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))
(/ 1 (* a eps))
(/.f64 #s(literal 1 binary64) (*.f64 a eps))
(/ (+ (* 1/2 a) (/ 1 eps)) a)
(/.f64 (fma.f64 a #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps)) a)
(/ (+ (* a (+ 1/2 (* a (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps)))))) (/ 1 eps)) a)
(/.f64 (fma.f64 a (fma.f64 a (*.f64 eps #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) (/.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 a (fma.f64 a (fma.f64 a (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) (.f64 (.f64 (.f64 eps eps) #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (*.f64 eps #s(literal 1/12 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) eps)) a)
(/ (exp (* a eps)) (- (exp (* a eps)) 1))
(/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))
(/ (exp (* a eps)) (- (exp (* a eps)) 1))
(/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))
(/ (exp (* a eps)) (- (exp (* a eps)) 1))
(/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))
(/ (exp (* a eps)) (- (exp (* a eps)) 1))
(/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))
(/ (exp (* a eps)) (- (exp (* a eps)) 1))
(/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))
(/ (exp (* a eps)) (- (exp (* a eps)) 1))
(/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))
(/ (exp (* a eps)) (- (exp (* a eps)) 1))
(/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))
(/ (exp (* a eps)) (- (exp (* a eps)) 1))
(/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))

eval463.0ms (1.7%)

Memory: 10.2MiB live, 161.9MiB allocated
Compiler: Compiled 15 071 to 1 654 computations (89% saved)

prune141.0ms (0.5%)

Memory

-5.6MiB live, 126.1MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	804	2	806
Fresh	0	0	0
Picked	1	3	4
Done	0	3	3
Total	805	8	813

Accuracy

100.0%

Counts

813 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	39.9%	(/.f64 (fma.f64 b (.f64 eps (/.f64 #s(literal 1 binary64) (.f64 a eps))) #s(literal 1 binary64)) b)
▶	49.4%	(/.f64 (/.f64 b a) b)
✓	50.4%	(/.f64 (/.f64 a b) a)
✓	59.6%	(/.f64 (+.f64 b a) (*.f64 b a))
✓	99.8%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
✓	50.5%	(/.f64 #s(literal 1 binary64) b)
✓	49.5%	(/.f64 #s(literal 1 binary64) a)
✓	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))

Compiler

Compiled 73 to 49 computations (32.9% saved)

simplify627.0ms (2.3%)

Memory

26.5MiB live, 452.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 a eps))
✓	cost-diff	0	(/.f64 (fma.f64 b (.f64 eps (/.f64 #s(literal 1 binary64) (.f64 a eps))) #s(literal 1 binary64)) b)
✓	cost-diff	192	(fma.f64 b (.f64 eps (/.f64 #s(literal 1 binary64) (.f64 a eps))) #s(literal 1 binary64))
✓	cost-diff	640	(.f64 eps (/.f64 #s(literal 1 binary64) (.f64 a eps)))
✓	cost-diff	0	(/.f64 b a)
✓	cost-diff	704	(/.f64 (/.f64 b a) b)

Rules

13 918×	`lower-fma.f32`
13 916×	`lower-fma.f64`
9 700×	`lower-*.f32`
9 696×	`lower-*.f64`
2 622×	`swap-sqr`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	51
0	19	49
1	33	45
2	64	37
3	183	35
4	477	35
5	1652	35
6	2090	35
7	2465	35
8	2929	35
9	3346	35
10	4270	35
11	5622	35
12	6011	35
13	6210	35
14	7015	35
15	7077	35
0	8197	35

Stop Event

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

Calls

Call 1

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

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

localize75.0ms (0.3%)

Memory

-16.7MiB live, 64.1MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(fma.f64 b (.f64 eps (/.f64 #s(literal 1 binary64) (.f64 a eps))) #s(literal 1 binary64))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (*.f64 a eps))
✓	accuracy	99.8%	(/.f64 (fma.f64 b (.f64 eps (/.f64 #s(literal 1 binary64) (.f64 a eps))) #s(literal 1 binary64)) b)
✓	accuracy	40.2%	(.f64 eps (/.f64 #s(literal 1 binary64) (.f64 a eps)))
✓	accuracy	100.0%	(/.f64 b a)
✓	accuracy	99.7%	(/.f64 (/.f64 b a) b)

Samples

63.0ms

256×

valid

Compiler

Compiled 55 to 14 computations (74.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 27.0ms (76.5% of total)

ival-div: 7.0ms (19.8% of total)

ival-add: 1.0ms (2.8% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0%)

Memory

15.5MiB live, 15.5MiB allocated

Counts

6 → 168

Calls

Call 1

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

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

Calls

42 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(/ 1 (* a eps))
0.0ms	b	@	-inf	(/ (+ (* b (* eps (/ 1 (* a eps)))) 1) b)
0.0ms	eps	@	0	(+ (* b (* eps (/ 1 (* a eps)))) 1)
0.0ms	eps	@	0	(/ (+ (* b (* eps (/ 1 (* a eps)))) 1) b)
0.0ms	eps	@	0	(/ 1 (* a eps))

rewrite285.0ms (1%)

Memory

13.0MiB live, 488.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 304×	`lower-/.f32`
4 296×	`lower-/.f64`
4 156×	`lower-fma.f32`
4 154×	`lower-fma.f64`
3 600×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	42
0	19	36
1	72	36
2	428	26
3	4294	26
0	9111	26

Stop Event

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

Counts

6 → 674

Calls

Call 1

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

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

simplify321.0ms (1.2%)

Memory

-20.9MiB live, 563.1MiB allocated

Algorithm

1×	egg-herbie

Rules

10 126×	`lower-fma.f64`
10 126×	`lower-fma.f32`
4 980×	`lower-*.f64`
4 980×	`lower-*.f32`
2 974×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	726
1	33	726
2	45	726
3	48	726
4	78	726
5	109	726
6	161	726
7	371	726
8	1437	726
9	3996	726
10	4355	726
11	4718	726
12	5228	726
13	5891	726
14	6576	726
0	8321	726

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

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

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

eval102.0ms (0.4%)

Memory: 23.2MiB live, 252.7MiB allocated
Compiler: Compiled 13 163 to 1 615 computations (87.7% saved)

prune151.0ms (0.5%)

Memory

-17.6MiB live, 200.3MiB allocated

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	839	3	842
Fresh	0	0	0
Picked	1	1	2
Done	0	6	6
Total	840	10	850

Accuracy

100.0%

Counts

850 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.4%	(/.f64 (/.f64 b a) b)
✓	50.4%	(/.f64 (/.f64 a b) a)
✓	59.6%	(/.f64 (+.f64 b a) (*.f64 b a))
✓	99.8%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
	15.9%	(/.f64 eps (*.f64 a eps))
	30.7%	(/.f64 b (*.f64 b a))
✓	50.5%	(/.f64 #s(literal 1 binary64) b)
✓	49.5%	(/.f64 #s(literal 1 binary64) a)
✓	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
	15.3%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 a eps)) eps)

Compiler

Compiled 259 to 121 computations (53.3% saved)

regimes21.0ms (0.1%)

Memory

-6.6MiB live, 32.6MiB allocated

Counts

15 → 1

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	a
5.0ms	eps
5.0ms	b
4.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))

Results

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

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes12.0ms (0%)

Memory

16.6MiB live, 16.6MiB allocated

Counts

8 → 3

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
80.2%	2	`a`
83.8%	3	`b`
72.8%	2	`eps`
59.6%	1	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes2.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
82.1%	2	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0%)

Memory

11.7MiB live, 11.7MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

1.0ms	b
1.0ms	a
1.0ms	eps
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
49.5%	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))))`
49.5%	1	`eps`
49.5%	1	`a`
49.5%	1	`b`

Compiler

Compiled 39 to 26 computations (33.3% saved)

bsearch34.0ms (0.1%)

Memory

-29.1MiB live, 44.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.0895019363086804e-66	1.6774367180208038e-65
16.0ms	6.298728422476975e-181	1.3948552871893985e-177

Samples

19.0ms

224×

valid

Compiler

Compiled 250 to 193 computations (22.8% saved)

Precisions

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

ival-mult: 6.0ms (42.9% of total)

ival-expm1: 5.0ms (35.7% of total)

ival-div: 1.0ms (7.1% of total)

ival-add: 1.0ms (7.1% 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	6.298728422476975e-181	1.3948552871893985e-177

Compiler

Compiled 142 to 115 computations (19% saved)

simplify6.0ms (0%)

Memory

12.3MiB live, 12.3MiB 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	16	41
1	22	41

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(if (<=.f64 b #s(literal 2737464370573317/2281220308811097609320585802850145662446614253624279965289596258949637583604338693252956405658685699889321154786797203655344352360687718999126330659861107094125997337180132475041437096123301888 binary64)) (/.f64 #s(literal 1 binary64) b) (if (<=.f64 b #s(literal 4173702698141215/3794275180128377091639574036764685364535950857523710002444946112771297432041422848 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 (+.f64 b a) (*.f64 b a))))
(if (<=.f64 b #s(literal 2737464370573317/2281220308811097609320585802850145662446614253624279965289596258949637583604338693252956405658685699889321154786797203655344352360687718999126330659861107094125997337180132475041437096123301888 binary64)) (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal 1 binary64) a)

Outputs
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(if (<=.f64 b #s(literal 2737464370573317/2281220308811097609320585802850145662446614253624279965289596258949637583604338693252956405658685699889321154786797203655344352360687718999126330659861107094125997337180132475041437096123301888 binary64)) (/.f64 #s(literal 1 binary64) b) (if (<=.f64 b #s(literal 4173702698141215/3794275180128377091639574036764685364535950857523710002444946112771297432041422848 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 (+.f64 b a) (*.f64 b a))))
(if (<=.f64 b #s(literal 2737464370573317/2281220308811097609320585802850145662446614253624279965289596258949637583604338693252956405658685699889321154786797203655344352360687718999126330659861107094125997337180132475041437096123301888 binary64)) (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal 1 binary64) a)

soundness303.0ms (1.1%)

Memory

-2.8MiB live, 271.1MiB allocated

Rules

9 330×	`lower-fma.f64`
9 330×	`lower-fma.f32`
7 346×	`lower-*.f64`
7 346×	`lower-*.f32`
5 096×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	336	2612
1	1079	2564
2	3419	2564
0	8500	2144
0	31	235
0	60	224
1	281	214
2	2790	208
0	9381	208

Stop Event

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

Compiler

Compiled 104 to 61 computations (41.3% saved)

preprocess39.0ms (0.1%)

Memory: 4.1MiB live, 80.4MiB allocated
Remove: (sort a b)
Compiler: Compiled 182 to 96 computations (47.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	20	127
0	36	125
1	60	125
2	101	125
3	163	125
4	189	125
5	199	125
6	205	125
0	205	125

Iter	Nodes	Cost
0	20	127
0	36	125
1	60	125
2	101	125
3	163	125
4	189	125
5	199	125
6	205	125
0	205	125

analyze159.0ms (0.6%)

sample18.7s (67.2%)

preprocess748.0ms (2.7%)

explain372.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify248.0ms (0.9%)

localize52.0ms (0.2%)

series27.0ms (0.1%)

rewrite370.0ms (1.3%)

simplify459.0ms (1.6%)

eval49.0ms (0.2%)

prune101.0ms (0.4%)

simplify445.0ms (1.6%)

localize234.0ms (0.8%)

series101.0ms (0.4%)

rewrite482.0ms (1.7%)

simplify426.0ms (1.5%)

eval284.0ms (1%)

prune270.0ms (1%)

simplify11.0ms (0%)

localize148.0ms (0.5%)

series103.0ms (0.4%)

rewrite672.0ms (2.4%)

simplify770.0ms (2.8%)

eval463.0ms (1.7%)

prune141.0ms (0.5%)

simplify627.0ms (2.3%)

localize75.0ms (0.3%)

series9.0ms (0%)

rewrite285.0ms (1%)

simplify321.0ms (1.2%)

eval102.0ms (0.4%)

prune151.0ms (0.5%)

regimes21.0ms (0.1%)

regimes12.0ms (0%)

regimes2.0ms (0%)

regimes5.0ms (0%)

bsearch34.0ms (0.1%)

bsearch1.0ms (0%)

simplify6.0ms (0%)

soundness303.0ms (1.1%)

preprocess39.0ms (0.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	20	127
0	36	125
1	60	125
2	101	125
3	163	125
4	189	125
5	199	125
6	205	125
0	205	125