Metrics for expq3 (problem 3.4.2)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze171.0ms (0.6%)

Memory

17.2MiB live, 170.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 52 to 27 computations (48.1% saved)

sample19.7s (74%)

Memory

92.2MiB live, 18 347.7MiB allocated

Samples

13.5s	61 944×	0	invalid
1.6s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 11.0s

ival-mult: 3.8s (34.3% of total)

const: 1.7s (15.6% of total)

ival-expm1: 1.5s (13.6% of total)

ival-<=: 1.1s (10% of total)

ival-fabs: 914.0ms (8.3% of total)

ival-add: 645.0ms (5.9% of total)

ival-div: 641.0ms (5.8% of total)

ival-fmin: 446.0ms (4.1% of total)

ival-and: 204.0ms (1.9% of total)

exact: 45.0ms (0.4% of total)

ival-assert: 27.0ms (0.2% of total)

Bogosity

explain236.0ms (0.9%)

Memory

16.0MiB live, 371.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
236	0	-	2	(6.466859920320151e-50 -3.9487669859395475e-89 2.998528543915562e-93)	`(/.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))))`
140	1	(4.0385918748391075e-262 -2.7178900869098136e-40 1.6274867499372992e-283)	0	-	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`
116	0	-	0	-	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`
103	1	(4.0385918748391075e-262 -2.7178900869098136e-40 1.6274867499372992e-283)	0	-	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`
0	0	-	0	-	`(+.f64 a b)`
0	0	-	0	-	`(*.f64 b eps)`
0	0	-	0	-	`(exp.f64 (*.f64 a eps))`
0	0	-	0	-	`a`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(*.f64 a eps)`
0	0	-	0	-	`(exp.f64 (*.f64 (+.f64 a b) eps))`
0	0	-	0	-	`eps`
0	0	-	0	-	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`
0	0	-	0	-	`(.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))`
0	0	-	0	-	`(*.f64 (+.f64 a b) eps)`
0	0	-	0	-	`(exp.f64 (*.f64 b eps))`
0	0	-	0	-	`b`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`	u/u	209	0
↳	`(.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))`	underflow	209
↳	`(*.f64 (+.f64 a b) eps)`	underflow	115
↳	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`	underflow	115
↳	`(*.f64 b eps)`	underflow	152
↳	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	underflow	140
↳	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	underflow	152
↳	`(.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	140
`-.f64`	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`	cancellation	141	0
`-.f64`	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	cancellation	116	0
`-.f64`	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	cancellation	104	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	25	0
↳	`(*.f64 b eps)`	underflow	152
↳	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	underflow	140
↳	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	underflow	152
↳	`(.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	140

Confusion

	Predicted +	Predicted -
+	256	0
-	0	0

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
1	115
3	84
4	57

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

72.0ms

512×

valid

Compiler

Compiled 229 to 55 computations (76% saved)

Precisions

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

ival-mult: 15.0ms (35.2% of total)

ival-exp: 10.0ms (23.5% of total)

ival-expm1: 10.0ms (23.5% of total)

ival-div: 3.0ms (7% of total)

ival-add: 3.0ms (7% of total)

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

exact: 0.0ms (0% of total)

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

preprocess201.0ms (0.8%)

Memory

14.7MiB live, 171.3MiB allocated

Algorithm

1×	egg-herbie

Rules

2 416×	`lower-fma.f64`
2 416×	`lower-fma.f32`
1 368×	`lower-*.f32`
1 363×	`lower-*.f64`
665×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(sort a b)

Compiler

Compiled 27 to 17 computations (37% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB 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)

simplify173.0ms (0.7%)

Memory

12.3MiB live, 87.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

2 416×	`lower-fma.f64`
2 416×	`lower-fma.f32`
1 368×	`lower-*.f32`
1 363×	`lower-*.f64`
566×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize94.0ms (0.4%)

Memory

-32.2MiB live, 96.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	23.998435432107712	(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))
accuracy	25.045876787641546	(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))
accuracy	31.498761108620826	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))
accuracy	56.772114467096266	(/.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

61.0ms

256×

valid

Compiler

Compiled 101 to 19 computations (81.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 13.0ms (43.7% of total)

ival-exp: 10.0ms (33.6% of total)

ival-expm1: 4.0ms (13.4% of total)

ival-div: 2.0ms (6.7% of total)

ival-add: 2.0ms (6.7% of total)

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

exact: 0.0ms (0% of total)

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

series23.0ms (0.1%)

Memory

23.4MiB live, 23.4MiB 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>) () ())) ())
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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
3.0ms	eps	@	0	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
2.0ms	a	@	0	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
2.0ms	eps	@	-inf	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
1.0ms	a	@	inf	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
1.0ms	b	@	inf	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))

simplify252.0ms (0.9%)

Memory

1.0MiB live, 303.9MiB allocated

Algorithm

1×	egg-herbie

Rules

4 665×	`lower-fma.f64`
4 665×	`lower-fma.f32`
3 673×	`lower-*.f64`
3 673×	`lower-*.f32`
2 107×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

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

rewrite257.0ms (1%)

Memory

-4.4MiB live, 389.7MiB allocated

Rules

2 919×	`lower-*.f32`
2 914×	`lower-*.f64`
2 220×	`lower-/.f32`
2 219×	`lower-/.f64`
1 951×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 364

Calls

Call 1

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

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

eval49.0ms (0.2%)

Memory: 31.6MiB live, 140.0MiB allocated
Compiler: Compiled 17 466 to 1 576 computations (91% saved)

prune98.0ms (0.4%)

Memory

-22.3MiB live, 179.3MiB 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

98.8%

Counts

485 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.1%	(.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (expm1.f64 (.f64 (.f64 eps b) #s(literal 3 binary64)))) (.f64 (+.f64 (-.f64 (exp.f64 (.f64 eps b)) #s(literal -1 binary64)) (exp.f64 (.f64 eps (+.f64 b b)))) (/.f64 eps (expm1.f64 (.f64 eps a)))))
▶	17.5%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (/.f64 (+.f64 a b) (.f64 (.f64 (.f64 a b) a) b)) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))
▶	44.4%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b))
▶	59.6%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
▶	51.6%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
▶	48.6%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))

Compiler

Compiled 268 to 148 computations (44.8% saved)

simplify257.0ms (1%)

Memory

-2.6MiB live, 316.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps))) #s(literal 1/2 binary64)))
cost-diff	0	(fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64))
cost-diff	0	(/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b)
cost-diff	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b))
cost-diff	0	(fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (/.f64 (+.f64 a b) (.f64 (.f64 (.f64 a b) a) b)) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))
cost-diff	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (/.f64 (+.f64 a b) (.f64 (.f64 (.f64 a b) a) b)) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))
cost-diff	512	(fma.f64 (.f64 a b) a (.f64 (*.f64 a b) b))
cost-diff	3392	(fma.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (/.f64 (+.f64 a b) (.f64 (.f64 (.f64 a b) a) b)) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b))))
cost-diff	0	(/.f64 #s(literal 1 binary64) b)
cost-diff	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
cost-diff	0	(/.f64 #s(literal 1 binary64) a)
cost-diff	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
cost-diff	0	(*.f64 a b)
cost-diff	0	(+.f64 a b)
cost-diff	0	(/.f64 (+.f64 a b) (*.f64 a b))
cost-diff	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))

Rules

12 735×	`lower-fma.f32`
12 731×	`lower-fma.f64`
2 943×	`lower-*.f32`
2 934×	`lower-*.f64`
2 127×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	483
0	77	468
1	149	468
2	344	468
3	1296	429
4	6746	405
0	8835	385

Stop Event

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

Calls

Call 1

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

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

localize396.0ms (1.5%)

Memory

-29.3MiB live, 325.5MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.12109375	(/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))
accuracy	0.1328125	(/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b)
accuracy	0.16015625	(fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64))
accuracy	35.40800028203366	(.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps))) #s(literal 1/2 binary64)))
accuracy	0.140625	(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
accuracy	2.710273387300436	(/.f64 (+.f64 a b) (.f64 (.f64 (*.f64 a b) a) b))
accuracy	28.457803766325256	(.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (*.f64 a b)))
accuracy	62.83070030070601	(fma.f64 (.f64 (fma.f64 (.f64 a b) a (.f64 (.f64 a b) b)) #s(literal -1/2 binary64)) (/.f64 (+.f64 a b) (.f64 (.f64 (.f64 a b) a) b)) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b))))
accuracy	0	(/.f64 #s(literal 1 binary64) b)
accuracy	30.958328735902914	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
accuracy	0	(/.f64 #s(literal 1 binary64) a)
accuracy	32.9083579546489	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
accuracy	0	(+.f64 a b)
accuracy	0	(*.f64 a b)
accuracy	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
accuracy	25.87494514075699	(/.f64 (+.f64 a b) (*.f64 a b))

Samples

297.0ms

256×

valid

Compiler

Compiled 434 to 43 computations (90.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 242.0ms

ival-mult: 97.0ms (40.1% of total)

ival-div: 64.0ms (26.4% of total)

adjust: 46.0ms (19% of total)

ival-add: 20.0ms (8.3% of total)

ival-expm1: 8.0ms (3.3% of total)

ival-exp: 4.0ms (1.7% of total)

ival-sub: 2.0ms (0.8% of total)

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

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

exact: 0.0ms (0% of total)

series208.0ms (0.8%)

Memory

21.8MiB live, 92.2MiB allocated

Counts

20 → 552

Calls

Call 1

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

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

Calls

138 calls:

Time	Variable		Point	Expression
68.0ms	eps	@	inf	(+ (* (+ (* (* (+ (* (* a b) a) (* (* a b) b)) -1/2) (/ (+ a b) (* (* (* a b) a) b))) (* (* (+ a b) (+ a b)) (/ 1/2 (* a b)))) eps) (+ (/ 1 b) (/ 1 a)))
9.0ms	b	@	inf	(+ (* (* (+ (* (* a b) a) (* (* a b) b)) -1/2) (/ (+ a b) (* (* (* a b) a) b))) (* (* (+ a b) (+ a b)) (/ 1/2 (* a b))))
4.0ms	a	@	inf	(+ (* (* (+ (* (* a b) a) (* (* a b) b)) -1/2) (/ (+ a b) (* (* (* a b) a) b))) (* (* (+ a b) (+ a b)) (/ 1/2 (* a b))))
3.0ms	b	@	0	(/ (+ a b) (* a b))
3.0ms	a	@	-inf	(+ (* (* (+ (* (* a b) a) (* (* a b) b)) -1/2) (/ (+ a b) (* (* (* a b) a) b))) (* (* (+ a b) (+ a b)) (/ 1/2 (* a b))))

simplify478.0ms (1.8%)

Memory

21.7MiB live, 343.5MiB allocated

Algorithm

1×	egg-herbie

Rules

3 700×	`lower-fma.f64`
3 700×	`lower-fma.f32`
2 985×	`lower-*.f64`
2 985×	`lower-*.f32`
1 573×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	508	13351
1	1500	12465
2	4911	12406
0	8141	10813

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 546

Calls

Call 1

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

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

rewrite283.0ms (1.1%)

Memory

-15.6MiB live, 585.2MiB allocated

Rules

2 810×	`lower-/.f32`
2 803×	`lower-/.f64`
2 476×	`lower-*.f32`
2 467×	`lower-*.f64`
2 063×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	389
0	77	369
1	319	361
2	2820	361
0	9415	341

Stop Event

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

Counts

20 → 730

Calls

Call 1

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

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

eval255.0ms (1%)

Memory: -3.7MiB live, 421.3MiB allocated
Compiler: Compiled 65 926 to 3 195 computations (95.2% saved)

prune213.0ms (0.8%)

Memory

39.1MiB live, 314.2MiB allocated

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	1 575	4	1 579
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	1 578	7	1 585

Accuracy

100.0%

Counts

1 585 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	59.6%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
▶	99.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (+.f64 (/.f64 b a) #s(literal 1 binary64))) b))
▶	99.9%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (+.f64 b a)) a)))
✓	51.6%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
✓	48.6%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
▶	99.9%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))
▶	57.3%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a)))

Compiler

Compiled 74 to 46 computations (37.8% saved)

simplify237.0ms (0.9%)

Memory

-11.7MiB live, 139.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 (/.f64 b a) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (+.f64 (/.f64 b a) #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (+.f64 (/.f64 b a) #s(literal 1 binary64))) b)
cost-diff	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (+.f64 (/.f64 b a) #s(literal 1 binary64))) b))
cost-diff	0	(/.f64 b (+.f64 b a))
cost-diff	0	(*.f64 (/.f64 b (+.f64 b a)) a)
cost-diff	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (+.f64 b a)) a)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (+.f64 b a)) a))
cost-diff	0	(/.f64 #s(literal 1 binary64) a)
cost-diff	0	(/.f64 #s(literal 1 binary64) b)
cost-diff	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))
cost-diff	384	(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
cost-diff	0	(*.f64 b a)
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 b a))
cost-diff	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a)))
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a))

Rules

4 197×	`lower-fma.f64`
4 197×	`lower-fma.f32`
2 529×	`lower-*.f32`
2 526×	`lower-*.f64`
943×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	281
0	54	285
1	106	273
2	213	273
3	426	273
4	893	273
5	2353	273
6	4341	273
7	6588	273
0	8023	240

Stop Event

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

Calls

Call 1

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

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

localize241.0ms (0.9%)

Memory

4.8MiB live, 122.4MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 (/.f64 b a) #s(literal 1 binary64))
accuracy	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (+.f64 (/.f64 b a) #s(literal 1 binary64))) b))
accuracy	0	#s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (+.f64 (/.f64 b a) #s(literal 1 binary64)))
accuracy	0.1328125	(/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (+.f64 (/.f64 b a) #s(literal 1 binary64))) b)
accuracy	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (+.f64 b a)) a)))
accuracy	0.03125	(/.f64 b (+.f64 b a))
accuracy	0.04296875	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (+.f64 b a)) a))
accuracy	0.05859375	(*.f64 (/.f64 b (+.f64 b a)) a)
accuracy	0	(/.f64 #s(literal 1 binary64) b)
accuracy	0	(/.f64 #s(literal 1 binary64) a)
accuracy	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))
accuracy	0.03515625	(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
accuracy	0	(*.f64 b a)
accuracy	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a)))
accuracy	0.140625	(/.f64 #s(literal 1 binary64) (*.f64 b a))
accuracy	27.25249182827077	(.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a))

Samples

213.0ms

256×

valid

Compiler

Compiled 215 to 36 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 197.0ms

ival-div: 87.0ms (44.2% of total)

ival-add: 53.0ms (26.9% of total)

ival-mult: 50.0ms (25.4% of total)

ival-expm1: 4.0ms (2% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series200.0ms (0.8%)

Memory

8.6MiB live, 46.0MiB allocated

Counts

16 → 432

Calls

Call 1

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

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

Calls

108 calls:

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

simplify709.0ms (2.7%)

Memory

-12.1MiB live, 252.6MiB allocated

Algorithm

1×	egg-herbie

Rules

3 233×	`lower-fma.f64`
3 233×	`lower-fma.f32`
2 778×	`lower-*.f64`
2 778×	`lower-*.f32`
1 387×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	477	9970
1	1426	9565
2	4490	9536
0	8339	8308

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 426

Calls

Call 1

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

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

rewrite295.0ms (1.1%)

Memory

-19.5MiB live, 214.7MiB allocated

Rules

2 285×	`lower-/.f32`
2 278×	`lower-/.f64`
2 191×	`lower-*.f32`
2 188×	`lower-*.f64`
1 455×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	260
0	54	264
1	261	252
2	2238	252
0	8396	219

Stop Event

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

Counts

16 → 852

Calls

Call 1

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

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

eval261.0ms (1%)

Memory: 20.6MiB live, 222.1MiB allocated
Compiler: Compiled 25 445 to 1 320 computations (94.8% saved)

prune189.0ms (0.7%)

Memory

-15.7MiB live, 143.9MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	1 277	1	1 278
Fresh	0	0	0
Picked	0	4	4
Done	0	3	3
Total	1 277	8	1 285

Accuracy

100.0%

Counts

1 285 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	59.6%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
✓	99.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (+.f64 (/.f64 b a) #s(literal 1 binary64))) b))
✓	99.9%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (+.f64 b a)) a)))
▶	51.6%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ b (+ b a)) (/.f64 b a)) a)))
✓	51.6%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
✓	48.6%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
✓	99.9%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))
✓	57.3%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a)))

Compiler

Compiled 86 to 53 computations (38.4% saved)

simplify157.0ms (0.6%)

Memory

25.2MiB live, 137.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

2 416×	`lower-fma.f64`
2 416×	`lower-fma.f32`
1 370×	`lower-*.f32`
1 369×	`lower-*.f64`
565×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	77
0	27	77
1	56	77
2	111	77
3	178	77
4	329	77
5	656	77
6	1265	77
7	3476	77
8	6185	77
9	7539	77
10	7851	77
11	7932	77
12	7962	77
0	8096	71

Stop Event

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

Calls

Call 1

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

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

localize73.0ms (0.3%)

Memory

2.4MiB live, 83.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ b (+ b a)) (/.f64 b a)) a)))
accuracy	0.04296875	(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ b (+ b a)) (/.f64 b a)) a))
accuracy	0.05859375	(*.f64 #s(approx (/ b (+ b a)) (/.f64 b a)) a)
accuracy	30.864344939166465	#s(approx (/ b (+ b a)) (/.f64 b a))

Samples

61.0ms

256×

valid

Compiler

Compiled 53 to 21 computations (60.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-mult: 36.0ms (69.1% of total)

ival-div: 6.0ms (11.5% of total)

ival-add: 6.0ms (11.5% of total)

ival-expm1: 4.0ms (7.7% of total)

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

exact: 0.0ms (0% of total)

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

series22.0ms (0.1%)

Memory

-27.8MiB live, 9.6MiB allocated

Counts

4 → 108

Calls

Call 1

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

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

Calls

27 calls:

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

simplify195.0ms (0.7%)

Memory

2.6MiB live, 282.7MiB allocated

Algorithm

1×	egg-herbie

Rules

4 177×	`lower-fma.f64`
4 177×	`lower-fma.f32`
2 737×	`lower-*.f64`
2 737×	`lower-*.f32`
2 254×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	350	2470
1	1045	2394
2	3139	2256
0	8393	1994

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 102

Calls

Call 1

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

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

rewrite170.0ms (0.6%)

Memory

16.5MiB live, 365.9MiB allocated

Rules

2 481×	`lower-*.f32`
2 480×	`lower-*.f64`
2 379×	`lower-fma.f64`
2 379×	`lower-fma.f32`
2 269×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	71
0	27	71
1	136	71
2	1015	71
0	8294	65

Stop Event

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

Counts

4 → 63

Calls

Call 1

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

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

eval19.0ms (0.1%)

Memory: 12.4MiB live, 50.5MiB allocated
Compiler: Compiled 3 081 to 331 computations (89.3% saved)

prune22.0ms (0.1%)

Memory

2.1MiB live, 46.4MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	165	8	173

Accuracy

100.0%

Counts

173 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	59.6%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
✓	99.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) b) 1) (+.f64 (/.f64 b a) #s(literal 1 binary64))) b))
✓	99.9%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (+.f64 b a)) a)))
✓	51.6%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ b (+ b a)) (/.f64 b a)) a)))
✓	51.6%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
✓	48.6%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
✓	99.9%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))
✓	57.3%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a)))

Compiler

Compiled 275 to 125 computations (54.5% saved)

regimes18.0ms (0.1%)

Memory

-2.9MiB live, 35.9MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	eps
4.0ms	a
4.0ms	b
3.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
99.9%	1	`a`
99.9%	1	`b`
99.9%	1	`eps`
99.9%	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)

regimes9.0ms (0%)

Memory

-17.7MiB live, 21.5MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

3.0ms	b
2.0ms	eps
2.0ms	a
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
83.8%	3	`a`
84.7%	3	`b`
76.5%	3	`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

5.4MiB live, 5.4MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
82.3%	2	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0%)

Memory

14.9MiB live, 14.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
48.6%	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))))`
48.6%	1	`eps`
48.6%	1	`a`
48.6%	1	`b`

Compiler

Compiled 39 to 26 computations (33.3% saved)

bsearch44.0ms (0.2%)

Memory

1.5MiB live, 40.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.0136965436551668e-111	4.284366689407696e-111
29.0ms	5.488748921950331e-235	2.3564365752178178e-232

Samples

32.0ms

224×

valid

Compiler

Compiled 278 to 193 computations (30.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 6.0ms (48.6% of total)

ival-expm1: 3.0ms (24.3% of total)

ival-div: 1.0ms (8.1% of total)

ival-add: 1.0ms (8.1% of total)

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

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

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.488748921950331e-235	2.3564365752178178e-232

Compiler

Compiled 158 to 115 computations (27.2% saved)

simplify45.0ms (0.2%)

Memory

-29.6MiB live, 21.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	216
1	40	216

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))
(if (<=.f64 b #s(literal 6572404707853141/27967679607885704301190218685229334463595448410322902860782665724913148442727445468110629165844363647880233895721679414135153184333079469434028345743715409785657103816385949318619923106913065211176796883038813718238213431256579671499373815533666304 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) (if (<=.f64 b #s(literal 5523677906256311/5415370496329716522614090203404460358274291162843391748379842930887932241807862544999950011922147613471467208908991351228465152 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))))
(if (<=.f64 b #s(literal 6572404707853141/27967679607885704301190218685229334463595448410322902860782665724913148442727445468110629165844363647880233895721679414135153184333079469434028345743715409785657103816385949318619923106913065211176796883038813718238213431256579671499373815533666304 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))

Outputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(if (<=.f64 b #s(literal 6572404707853141/27967679607885704301190218685229334463595448410322902860782665724913148442727445468110629165844363647880233895721679414135153184333079469434028345743715409785657103816385949318619923106913065211176796883038813718238213431256579671499373815533666304 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) (if (<=.f64 b #s(literal 5523677906256311/5415370496329716522614090203404460358274291162843391748379842930887932241807862544999950011922147613471467208908991351228465152 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))))
(if (<=.f64 b #s(literal 6572404707853141/27967679607885704301190218685229334463595448410322902860782665724913148442727445468110629165844363647880233895721679414135153184333079469434028345743715409785657103816385949318619923106913065211176796883038813718238213431256579671499373815533666304 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) (if (<=.f64 b #s(literal 5523677906256311/5415370496329716522614090203404460358274291162843391748379842930887932241807862544999950011922147613471467208908991351228465152 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))))
(if (<=.f64 b #s(literal 6572404707853141/27967679607885704301190218685229334463595448410322902860782665724913148442727445468110629165844363647880233895721679414135153184333079469434028345743715409785657103816385949318619923106913065211176796883038813718238213431256579671499373815533666304 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))

soundness319.0ms (1.2%)

Memory

28.8MiB live, 183.9MiB allocated

Rules

4 665×	`lower-fma.f64`
4 665×	`lower-fma.f32`
3 673×	`lower-*.f64`
3 673×	`lower-*.f32`
2 810×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	336	2612
1	1079	2564
2	3419	2564
0	8500	2144
0	49	389
0	77	369
1	319	361
2	2820	361
0	9415	341

Stop Event

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

Compiler

Compiled 112 to 60 computations (46.4% saved)

preprocess64.0ms (0.2%)

Memory: -7.4MiB live, 68.5MiB allocated
Remove: (sort a b)
Compiler: Compiled 220 to 110 computations (50% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze171.0ms (0.6%)

sample19.7s (74%)

explain236.0ms (0.9%)

preprocess201.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify173.0ms (0.7%)

localize94.0ms (0.4%)

series23.0ms (0.1%)

simplify252.0ms (0.9%)

rewrite257.0ms (1%)

eval49.0ms (0.2%)

prune98.0ms (0.4%)

simplify257.0ms (1%)

localize396.0ms (1.5%)

series208.0ms (0.8%)

simplify478.0ms (1.8%)

rewrite283.0ms (1.1%)

eval255.0ms (1%)

prune213.0ms (0.8%)

simplify237.0ms (0.9%)

localize241.0ms (0.9%)

series200.0ms (0.8%)

simplify709.0ms (2.7%)

rewrite295.0ms (1.1%)

eval261.0ms (1%)

prune189.0ms (0.7%)

simplify157.0ms (0.6%)

localize73.0ms (0.3%)

series22.0ms (0.1%)

simplify195.0ms (0.7%)

rewrite170.0ms (0.6%)

eval19.0ms (0.1%)

prune22.0ms (0.1%)

regimes18.0ms (0.1%)

regimes9.0ms (0%)

regimes2.0ms (0%)

regimes5.0ms (0%)

bsearch44.0ms (0.2%)

bsearch1.0ms (0%)

simplify45.0ms (0.2%)

soundness319.0ms (1.2%)

preprocess64.0ms (0.2%)

end0.0ms (0%)

Profiling