Metrics for expq3 (problem 3.4.2)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze167.0ms (0.6%)

Memory

-13.2MiB live, 237.0MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 52 to 27 computations (48.1% saved)

sample20.4s (73%)

Memory

193.6MiB live, 19 333.1MiB allocated

Samples

14.4s	63 504×	0	invalid
1.7s	8 256×	0	valid

Precisions

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

ival-mult: 4.3s (35.7% of total)

const: 1.7s (14.3% of total)

ival-expm1: 1.6s (13% of total)

ival-fabs: 1.0s (8.4% of total)

ival-<=: 975.0ms (8.1% of total)

ival-add: 871.0ms (7.2% of total)

ival-div: 666.0ms (5.5% of total)

ival-fmin: 652.0ms (5.4% of total)

ival-and: 205.0ms (1.7% of total)

exact: 48.0ms (0.4% of total)

ival-assert: 28.0ms (0.2% of total)

Bogosity

explain237.0ms (0.9%)

Memory

1.9MiB live, 385.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
232	0	-	1	(1.0478371600088273e-82 2.054429448539578e-34 1.910958554010473e-102)	`(/.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))))`
148	4	(1.3696667665702436e-123 -1.2836147667924137e-184 4.627832074290405e-200)	0	-	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`
118	3	(1.3696667665702436e-123 -1.2836147667924137e-184 4.627832074290405e-200)	0	-	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`
112	2	(-1.777111884694867e-221 -9.062017721378365e-96 4.8593119740101006e-228)	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	104
↳	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`	underflow	104
↳	`(*.f64 b eps)`	underflow	142
↳	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	underflow	135
↳	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	underflow	142
↳	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`	underflow	231
↳	`(*.f64 a eps)`	underflow	135
`-.f64`	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`	cancellation	152	0
`-.f64`	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	cancellation	121	0
`-.f64`	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	cancellation	114	0
`/.f64`	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`	n/u	22	0
↳	`(*.f64 b eps)`	underflow	142
↳	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	underflow	135
↳	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	underflow	142
↳	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`	underflow	231
↳	`(*.f64 a eps)`	underflow	135

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	104
3	94
4	58

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

71.0ms

512×

valid

Compiler

Compiled 229 to 55 computations (76% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 15.0ms (32.9% of total)

ival-expm1: 13.0ms (28.5% of total)

ival-exp: 10.0ms (21.9% of total)

ival-div: 3.0ms (6.6% of total)

ival-add: 3.0ms (6.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess230.0ms (0.8%)

Memory

-19.4MiB live, 229.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(sort a b)

Compiler

Compiled 27 to 17 computations (37% saved)

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB 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)

simplify193.0ms (0.7%)

Memory

8.7MiB live, 167.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize51.0ms (0.2%)

Memory

13.1MiB live, 87.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	24.978627875501093	(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))
accuracy	26.153339913158263	(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))
accuracy	32.7112123005191	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))
accuracy	55.93890055105163	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))

Samples

32.0ms

256×

valid

Compiler

Compiled 101 to 19 computations (81.2% saved)

Precisions

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

ival-mult: 7.0ms (35.1% of total)

ival-exp: 5.0ms (25% of total)

ival-expm1: 4.0ms (20% of total)

ival-div: 2.0ms (10% of total)

ival-add: 2.0ms (10% of total)

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

exact: 0.0ms (0% of total)

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

series34.0ms (0.1%)

Memory

-8.6MiB live, 36.1MiB allocated

Counts

4 → 120

Calls

Call 1

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

Outputs
#s(alt (- (exp (* b eps)) 1) (taylor 0 a) (#s(alt (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp (* b eps)) (* a (* eps (exp (* b eps))))) 1) (taylor 0 a) (#s(alt (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp (* b eps)) (* a (+ (* 1/2 (* a (* (pow eps 2) (exp (* b eps))))) (* eps (exp (* b eps)))))) 1) (taylor 0 a) (#s(alt (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp (* b eps)) (* a (+ (* a (+ (* 1/6 (* a (* (pow eps 3) (exp (* b eps))))) (* 1/2 (* (pow eps 2) (exp (* b eps)))))) (* eps (exp (* b eps)))))) 1) (taylor 0 a) (#s(alt (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* eps (+ a b))) 1) (taylor inf a) (#s(alt (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* eps (+ a b))) 1) (taylor inf a) (#s(alt (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* eps (+ a b))) 1) (taylor inf a) (#s(alt (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* eps (+ a b))) 1) (taylor inf a) (#s(alt (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* eps (- b (* -1 a)))) 1) (taylor -inf a) (#s(alt (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* eps (- b (* -1 a)))) 1) (taylor -inf a) (#s(alt (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* eps (- b (* -1 a)))) 1) (taylor -inf a) (#s(alt (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* eps (- b (* -1 a)))) 1) (taylor -inf a) (#s(alt (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a eps)) 1) (taylor 0 b) (#s(alt (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp (* a eps)) (* b (* eps (exp (* a eps))))) 1) (taylor 0 b) (#s(alt (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp (* a eps)) (* b (+ (* 1/2 (* b (* (pow eps 2) (exp (* a eps))))) (* eps (exp (* a eps)))))) 1) (taylor 0 b) (#s(alt (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp (* a eps)) (* b (+ (* b (+ (* 1/6 (* b (* (pow eps 3) (exp (* a eps))))) (* 1/2 (* (pow eps 2) (exp (* a eps)))))) (* eps (exp (* a eps)))))) 1) (taylor 0 b) (#s(alt (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* eps (+ a b))) 1) (taylor inf b) (#s(alt (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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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
13.0ms	eps	@	-inf	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
3.0ms	eps	@	0	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
2.0ms	a	@	0	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
1.0ms	b	@	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)))

simplify374.0ms (1.3%)

Memory

-25.8MiB live, 346.2MiB allocated

Algorithm

1×	egg-herbie

Rules

9 330×	`lower-fma.f64`
9 330×	`lower-fma.f32`
7 346×	`lower-*.f64`
7 346×	`lower-*.f32`
4 214×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

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

rewrite258.0ms (0.9%)

Memory

27.8MiB live, 372.6MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 364

Calls

Call 1

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

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

eval54.0ms (0.2%)

Memory: 4.8MiB live, 116.3MiB allocated
Compiler: Compiled 17 466 to 1 535 computations (91.2% saved)

prune95.0ms (0.3%)

Memory

-0.1MiB live, 174.2MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	477	7	484
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	478	7	485

Accuracy

97.4%

Counts

485 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.8%	(/.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 (+.f64 a b) eps))) (expm1.f64 (.f64 b eps)))
	31.9%	(.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 (+.f64 a b) eps))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 b eps))))
▶	16.4%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 eps (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 b a) (+.f64 b a)) (.f64 b a)) (/.f64 (.f64 (+.f64 b a) (.f64 #s(literal -1/2 binary64) (fma.f64 b (.f64 b a) (.f64 b (.f64 a a))))) (.f64 b (.f64 b (.f64 a a))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
▶	42.2%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (fma.f64 a (.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 b eps))) #s(literal -1/2 binary64))) #s(literal 1 binary64)) a))
▶	64.4%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
▶	46.4%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
▶	52.4%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))

Compiler

Compiled 282 to 158 computations (44% saved)

simplify263.0ms (0.9%)

Memory

13.4MiB live, 308.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

8 100×	`lower-fma.f32`
8 094×	`lower-fma.f64`
4 334×	`lower-*.f32`
4 316×	`lower-*.f64`
3 016×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	503
0	78	496
1	171	482
2	510	467
3	2113	443
4	4907	435
5	6132	411
6	7007	375
7	7928	375
0	8035	355

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

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

localize305.0ms (1.1%)

Memory

-3.5MiB live, 485.5MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.09375	(/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))
accuracy	0.15625	(fma.f64 a (.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 b eps))) #s(literal -1/2 binary64))) #s(literal 1 binary64))
accuracy	0.18359375	(/.f64 (fma.f64 a (.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 b eps))) #s(literal -1/2 binary64))) #s(literal 1 binary64)) a)
accuracy	36.873904853175155	(.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 b eps))) #s(literal -1/2 binary64)))
accuracy	0.0546875	(.f64 (+.f64 b a) (.f64 #s(literal -1/2 binary64) (fma.f64 b (.f64 b a) (.f64 b (*.f64 a a)))))
accuracy	0.06640625	(.f64 b (.f64 a a))
accuracy	23.849746934202027	(/.f64 (.f64 (+.f64 b a) (+.f64 b a)) (.f64 b a))
accuracy	53.02535979456736	(/.f64 (.f64 (+.f64 b a) (.f64 #s(literal -1/2 binary64) (fma.f64 b (.f64 b a) (.f64 b (.f64 a a))))) (.f64 b (.f64 b (.f64 a a))))
accuracy	0	(/.f64 #s(literal 1 binary64) b)
accuracy	34.30894736305611	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
accuracy	0	(/.f64 #s(literal 1 binary64) a)
accuracy	30.48638009849882	#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 b a)
accuracy	0	(*.f64 b a)
accuracy	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
accuracy	22.785433758182833	(/.f64 (+.f64 b a) (*.f64 b a))

Samples

242.0ms

256×

valid

Compiler

Compiled 456 to 45 computations (90.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 171.0ms

ival-mult: 57.0ms (33.2% of total)

adjust: 47.0ms (27.4% of total)

ival-div: 34.0ms (19.8% of total)

ival-add: 21.0ms (12.2% of total)

ival-expm1: 8.0ms (4.7% of total)

ival-exp: 4.0ms (2.3% of total)

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

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

exact: 0.0ms (0% of total)

series104.0ms (0.4%)

Memory

-19.2MiB live, 97.4MiB allocated

Counts

20 → 540

Calls

Call 1

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

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

Calls

135 calls:

Time	Variable		Point	Expression
16.0ms	b	@	inf	(+ (* 1/2 (/ (* (+ b a) (+ b a)) (* b a))) (/ (* (+ b a) (* -1/2 (+ (* b (* b a)) (* b (* a a))))) (* b (* b (* a a)))))
10.0ms	a	@	inf	(+ (* 1/2 (/ (* (+ b a) (+ b a)) (* b a))) (/ (* (+ b a) (* -1/2 (+ (* b (* b a)) (* b (* a a))))) (* b (* b (* a a)))))
3.0ms	b	@	-inf	(+ (* 1/2 (/ (* (+ b a) (+ b a)) (* b a))) (/ (* (+ b a) (* -1/2 (+ (* b (* b a)) (* b (* a a))))) (* b (* b (* a a)))))
3.0ms	a	@	-inf	(+ (* 1/2 (/ (* (+ b a) (+ b a)) (* b a))) (/ (* (+ b a) (* -1/2 (+ (* b (* b a)) (* b (* a a))))) (* b (* b (* a a)))))
3.0ms	a	@	0	(/ (+ b a) (* b a))

simplify347.0ms (1.2%)

Memory

34.3MiB live, 349.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 148×	`lower-fma.f64`
8 148×	`lower-fma.f32`
6 468×	`lower-*.f64`
6 468×	`lower-*.f32`
3 076×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	547	12986
1	1662	12147
2	5405	12082
0	8234	10497

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 534

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

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

rewrite291.0ms (1%)

Memory

9.8MiB live, 423.9MiB allocated

Rules

4 376×	`lower-/.f32`
4 362×	`lower-/.f64`
4 056×	`lower-*.f32`
4 038×	`lower-*.f64`
3 138×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	370
0	78	359
1	351	349
2	3522	343
0	8935	323

Stop Event

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

Counts

20 → 625

Calls

Call 1

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

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

eval241.0ms (0.9%)

Memory: 9.5MiB live, 479.6MiB allocated
Compiler: Compiled 59 141 to 3 361 computations (94.3% saved)

prune230.0ms (0.8%)

Memory

-1.8MiB live, 409.5MiB allocated

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	1 468	6	1 474
Fresh	2	0	2
Picked	2	3	5
Done	0	0	0
Total	1 472	9	1 481

Accuracy

100.0%

Counts

1 481 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	64.4%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
▶	46.2%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* a (* eps (+ (/ (exp (* b eps)) (- (exp (* b eps)) 1)) -1/2))) 1) (/.f64 a b)) a))
▶	99.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (+.f64 a b) b))))
✓	46.4%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
✓	52.4%	#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)))
▶	62.0%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 a b)) (+.f64 a b)))
▶	99.7%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ (* a (* eps (+ (/ (exp (* b eps)) (- (exp (* b eps)) 1)) -1/2))) 1) a) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)))
	32.1%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ (* a (* eps (+ (/ (exp (* b eps)) (- (exp (* b eps)) 1)) -1/2))) 1) a) (.f64 eps (+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps))) (/.f64 #s(literal 1 binary64) (.f64 a eps)))))))

Compiler

Compiled 191 to 114 computations (40.3% saved)

simplify214.0ms (0.8%)

Memory

4.1MiB live, 278.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

9 326×	`lower-fma.f64`
9 326×	`lower-fma.f32`
5 510×	`lower-*.f32`
5 506×	`lower-*.f64`
1 510×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	370
0	61	362
1	114	362
2	245	362
3	479	362
4	934	362
5	2521	362
6	3585	362
7	5529	362
0	8098	317

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

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

localize123.0ms (0.4%)

Memory

27.0MiB live, 138.9MiB allocated

Localize:

Found 20 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 a (/.f64 (+.f64 a b) b))))
accuracy	0.0390625	(/.f64 (+.f64 a b) b)
accuracy	0.05078125	(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (+.f64 a b) b)))
accuracy	0.0859375	(/.f64 a (/.f64 (+.f64 a b) b))
accuracy	0	#s(approx (/ (+ (* a (* eps (+ (/ (exp (* b eps)) (- (exp (* b eps)) 1)) -1/2))) 1) a) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b))
accuracy	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ (* a (* eps (+ (/ (exp (* b eps)) (- (exp (* b eps)) 1)) -1/2))) 1) a) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)))
accuracy	0.00390625	(+.f64 #s(literal 1 binary64) (/.f64 b a))
accuracy	0.16015625	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b 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 #s(literal 1 binary64) (.f64 a b)) (+.f64 a b)))
accuracy	0.15234375	(/.f64 #s(literal 1 binary64) (*.f64 a b))
accuracy	24.2600910257611	(.f64 (/.f64 #s(literal 1 binary64) (.f64 a b)) (+.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 #s(approx (+ (* a (* eps (+ (/ (exp (* b eps)) (- (exp (* b eps)) 1)) -1/2))) 1) (/.f64 a b)) a))
accuracy	0.18359375	(/.f64 #s(approx (+ (* a (* eps (+ (/ (exp (* b eps)) (- (exp (* b eps)) 1)) -1/2))) 1) (/.f64 a b)) a)
accuracy	34.128804509978686	#s(approx (+ (* a (* eps (+ (/ (exp (* b eps)) (- (exp (* b eps)) 1)) -1/2))) 1) (/.f64 a b))
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	0.037441259768442016	(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))

Samples

91.0ms

256×

valid

Compiler

Compiled 272 to 37 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-div: 21.0ms (45.2% of total)

ival-mult: 13.0ms (28% of total)

ival-add: 6.0ms (12.9% of total)

ival-expm1: 4.0ms (8.6% of total)

ival-exp: 2.0ms (4.3% of total)

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

exact: 0.0ms (0% of total)

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

series41.0ms (0.1%)

Memory

-22.3MiB live, 60.5MiB allocated

Counts

20 → 552

Calls

Call 1

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

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

Calls

138 calls:

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

simplify408.0ms (1.5%)

Memory

0.9MiB live, 432.6MiB allocated

Algorithm

1×	egg-herbie

Rules

9 504×	`lower-fma.f64`
9 504×	`lower-fma.f32`
5 546×	`lower-*.f64`
5 546×	`lower-*.f32`
4 468×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	420	12504
1	1235	12042
2	3997	11532
0	8566	10069

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 546

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

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

rewrite301.0ms (1.1%)

Memory

20.6MiB live, 452.4MiB allocated

Rules

4 546×	`lower-/.f32`
4 526×	`lower-/.f64`
4 260×	`lower-*.f32`
4 256×	`lower-*.f64`
2 610×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	347
0	61	339
1	279	339
2	2356	339
0	8304	294

Stop Event

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

Counts

20 → 863

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (.f64 a (/.f64 b (+.f64 b a)))) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 b a)))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+.f64 (/.f64 b (*.f64 b a)) (/.f64 #s(literal 1 binary64) b))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 (-.f64 a b) (.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (/.f64 (-.f64 a b) (.f64 b a))))
(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) b) (/.f64 b (*.f64 b 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 b (*.f64 b a)) (/.f64 #s(literal 1 binary64) b))
(fma.f64 b (/.f64 #s(literal 1 binary64) (*.f64 b a)) (/.f64 #s(literal 1 binary64) b))
(fma.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(fma.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64) (/.f64 b (*.f64 b a)))
(fma.f64 a (/.f64 #s(literal 1 binary64) (*.f64 b a)) (/.f64 #s(literal 1 binary64) a))
(fma.f64 a (/.f64 #s(literal 1 binary64) (.f64 b a)) (/.f64 b (.f64 b a)))
(fma.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) b (/.f64 #s(literal 1 binary64) b))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) a (/.f64 #s(literal 1 binary64) a))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) a (/.f64 b (.f64 b 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 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) b) (/.f64 b (*.f64 b a)))
(fma.f64 (pow.f64 b #s(literal -1/2 binary64)) (pow.f64 b #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a))
(fma.f64 (pow.f64 b #s(literal -1/2 binary64)) (pow.f64 b #s(literal -1/2 binary64)) (/.f64 b (*.f64 b a)))
(fma.f64 (pow.f64 a #s(literal -1/2 binary64)) (pow.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) b))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 a (/.f64 b (+.f64 b a)))))
(/.f64 #s(literal 1 binary64) (*.f64 a (/.f64 b (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) (.f64 a a))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b))) (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 a b) (.f64 b a)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 a a)))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (+.f64 b a)))
(/.f64 (+.f64 b a) (*.f64 b a))
(/.f64 (/.f64 (+.f64 b a) b) a)
(/.f64 (/.f64 (+.f64 b a) b) (neg.f64 (neg.f64 a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 a (/.f64 b (+.f64 b a)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) (.f64 a a))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b))) (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))))))
(/.f64 #s(literal -1 binary64) (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 (neg.f64 (+.f64 b a)) (*.f64 a (neg.f64 b)))
(/.f64 (neg.f64 (/.f64 (+.f64 b a) b)) (neg.f64 a))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b))) (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) (.f64 a a))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b))) (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (/.f64 (/.f64 (-.f64 a b) (.f64 b a)) b)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 #s(literal 1 binary64) (.f64 a a))) (/.f64 (-.f64 a b) (*.f64 b a)))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 a) (.f64 b #s(literal -1 binary64))) (.f64 a (neg.f64 b)))
(/.f64 (+.f64 (neg.f64 a) (.f64 (neg.f64 b) #s(literal 1 binary64))) (.f64 a (neg.f64 b)))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 a) (.f64 (neg.f64 b) #s(literal -1 binary64))) (.f64 (neg.f64 b) (neg.f64 a)))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 b) (.f64 a #s(literal -1 binary64))) (.f64 a (neg.f64 b)))
(/.f64 (+.f64 (neg.f64 b) (.f64 (neg.f64 a) #s(literal 1 binary64))) (.f64 a (neg.f64 b)))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 b) (.f64 (neg.f64 a) #s(literal -1 binary64))) (.f64 (neg.f64 a) (neg.f64 b)))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b b) (.f64 a (.f64 a a)))) (.f64 (.f64 b a) (fma.f64 b (-.f64 b a) (*.f64 a a))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 b a) (-.f64 a b))) (.f64 (.f64 b a) (-.f64 a b)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 b (.f64 b b) (.f64 a (.f64 a a)))) (.f64 b (fma.f64 b (-.f64 b a) (.f64 a a))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (+.f64 b a) (-.f64 a b))) (*.f64 b (-.f64 a b)))
(/.f64 (.f64 #s(literal -1 binary64) (fma.f64 b (.f64 b b) (.f64 a (.f64 a a)))) (.f64 (.f64 a (neg.f64 b)) (fma.f64 b (-.f64 b a) (*.f64 a a))))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (+.f64 b a) (-.f64 a b))) (.f64 (.f64 a (neg.f64 b)) (-.f64 a b)))
(/.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) #s(literal 1 binary64)) (.f64 (fma.f64 b (-.f64 b a) (.f64 a a)) (*.f64 b a)))
(/.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (/.f64 #s(literal 1 binary64) a)) (.f64 (fma.f64 b (-.f64 b a) (.f64 a a)) b))
(/.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) #s(literal -1 binary64)) (.f64 (fma.f64 b (-.f64 b a) (.f64 a a)) (*.f64 a (neg.f64 b))))
(/.f64 (.f64 (.f64 (+.f64 b a) (-.f64 a b)) #s(literal 1 binary64)) (.f64 (-.f64 a b) (.f64 b a)))
(/.f64 (.f64 (.f64 (+.f64 b a) (-.f64 a b)) (/.f64 #s(literal 1 binary64) a)) (*.f64 (-.f64 a b) b))
(/.f64 (.f64 (.f64 (+.f64 b a) (-.f64 a b)) #s(literal -1 binary64)) (.f64 (-.f64 a b) (.f64 a (neg.f64 b))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (+.f64 b a))) (.f64 a (neg.f64 b)))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (+.f64 b a))) (.f64 (neg.f64 a) (neg.f64 b)))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a)) (neg.f64 (/.f64 b (+.f64 b a))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b))) (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) (.f64 a a)))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b))) (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (/.f64 (/.f64 (-.f64 a b) (.f64 b a)) b))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 #s(literal 1 binary64) (.f64 a a)))) (neg.f64 (/.f64 (-.f64 a b) (*.f64 b a))))
(/.f64 (neg.f64 (neg.f64 (+.f64 b a))) (neg.f64 (*.f64 a (neg.f64 b))))
(/.f64 (/.f64 (+.f64 b a) a) b)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b))) (/.f64 (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (-.f64 (.f64 (/.f64 b (.f64 b a)) (/.f64 b (.f64 b a))) (.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 b a))))))
(/.f64 (fma.f64 b b (.f64 b a)) (.f64 (*.f64 b a) b))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (.f64 (/.f64 b (.f64 b a)) (/.f64 b (.f64 b a)))) (/.f64 (-.f64 a b) (*.f64 b a)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (.f64 b b))) (/.f64 (-.f64 b a) (*.f64 b a)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b a)) b)
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (fma.f64 b (.f64 b b) (.f64 a (.f64 a a)))) (fma.f64 b (-.f64 b a) (.f64 a a)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (*.f64 (+.f64 b a) (-.f64 a b))) (-.f64 a b))
(/.f64 (*.f64 (+.f64 b a) (/.f64 #s(literal 1 binary64) a)) b)
(/.f64 (.f64 (+.f64 b a) #s(literal -1 binary64)) (.f64 a (neg.f64 b)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 (+.f64 b a))) (neg.f64 b))
(/.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (/.f64 #s(literal 1 binary64) (.f64 b a))) (fma.f64 b (-.f64 b a) (.f64 a a)))
(/.f64 (.f64 (.f64 (+.f64 b a) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (-.f64 a b))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (+.f64 b a))) b)
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 a)) b) (*.f64 b (neg.f64 (neg.f64 a))))
(/.f64 (+.f64 a (.f64 (neg.f64 (neg.f64 b)) #s(literal 1 binary64))) (.f64 (neg.f64 (neg.f64 b)) a))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 a)) (.f64 (neg.f64 (neg.f64 b)) #s(literal 1 binary64))) (.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 a))))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 a) (.f64 (neg.f64 (neg.f64 b)) #s(literal -1 binary64))) (.f64 (neg.f64 (neg.f64 b)) (neg.f64 a)))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 a)) (.f64 (neg.f64 b) #s(literal 1 binary64))) (.f64 (neg.f64 b) (neg.f64 (neg.f64 a))))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 b)) a) (*.f64 a (neg.f64 (neg.f64 b))))
(/.f64 (+.f64 b (.f64 (neg.f64 (neg.f64 a)) #s(literal 1 binary64))) (.f64 (neg.f64 (neg.f64 a)) b))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 b)) (.f64 (neg.f64 (neg.f64 a)) #s(literal 1 binary64))) (.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 b))))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 b) (.f64 (neg.f64 (neg.f64 a)) #s(literal -1 binary64))) (.f64 (neg.f64 (neg.f64 a)) (neg.f64 b)))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 b)) (.f64 (neg.f64 a) #s(literal 1 binary64))) (.f64 (neg.f64 a) (neg.f64 (neg.f64 b))))
(/.f64 (fma.f64 a (.f64 b a) (.f64 (.f64 b a) b)) (.f64 (.f64 b a) (.f64 b a)))
(/.f64 (fma.f64 b a (.f64 (.f64 b a) (/.f64 b a))) (.f64 (.f64 b a) b))
(/.f64 (fma.f64 a (.f64 a (neg.f64 b)) (.f64 (.f64 b a) (neg.f64 b))) (.f64 (.f64 b a) (.f64 a (neg.f64 b))))
(/.f64 (fma.f64 a (.f64 a (neg.f64 b)) (.f64 (.f64 b a) (.f64 b #s(literal -1 binary64)))) (.f64 (.f64 b a) (*.f64 a (neg.f64 b))))
(/.f64 (fma.f64 (neg.f64 a) (.f64 b a) (.f64 (.f64 a (neg.f64 b)) b)) (.f64 (.f64 a (neg.f64 b)) (.f64 b a)))
(/.f64 (fma.f64 b (neg.f64 a) (.f64 (.f64 a (neg.f64 b)) (/.f64 b a))) (.f64 (.f64 a (neg.f64 b)) b))
(/.f64 (fma.f64 (neg.f64 a) (.f64 a (neg.f64 b)) (.f64 (.f64 a (neg.f64 b)) (neg.f64 b))) (.f64 (.f64 a (neg.f64 b)) (.f64 a (neg.f64 b))))
(/.f64 (fma.f64 (neg.f64 a) (.f64 a (neg.f64 b)) (.f64 (.f64 a (neg.f64 b)) (.f64 b #s(literal -1 binary64)))) (.f64 (.f64 a (neg.f64 b)) (*.f64 a (neg.f64 b))))
(/.f64 (fma.f64 (.f64 a #s(literal -1 binary64)) (.f64 b a) (.f64 (.f64 a (neg.f64 b)) b)) (.f64 (.f64 a (neg.f64 b)) (*.f64 b a)))
(/.f64 (fma.f64 (.f64 a #s(literal -1 binary64)) b (.f64 (.f64 a (neg.f64 b)) (/.f64 b a))) (.f64 (*.f64 a (neg.f64 b)) b))
(/.f64 (fma.f64 (.f64 a #s(literal -1 binary64)) (.f64 a (neg.f64 b)) (.f64 (.f64 a (neg.f64 b)) (neg.f64 b))) (.f64 (.f64 a (neg.f64 b)) (*.f64 a (neg.f64 b))))
(/.f64 (fma.f64 (.f64 a #s(literal -1 binary64)) (.f64 a (neg.f64 b)) (.f64 (.f64 a (neg.f64 b)) (.f64 b #s(literal -1 binary64)))) (.f64 (.f64 a (neg.f64 b)) (.f64 a (neg.f64 b))))
(/.f64 (fma.f64 (.f64 a (/.f64 #s(literal 1 binary64) a)) (.f64 b a) (.f64 b b)) (.f64 b (*.f64 b a)))
(/.f64 (fma.f64 (.f64 a (/.f64 #s(literal 1 binary64) a)) b (.f64 b (/.f64 b a))) (*.f64 b b))
(/.f64 (fma.f64 (.f64 a (/.f64 #s(literal 1 binary64) a)) (.f64 a (neg.f64 b)) (.f64 b (neg.f64 b))) (.f64 b (*.f64 a (neg.f64 b))))
(/.f64 (fma.f64 (.f64 a (/.f64 #s(literal 1 binary64) a)) (.f64 a (neg.f64 b)) (.f64 b (.f64 b #s(literal -1 binary64)))) (.f64 b (.f64 a (neg.f64 b))))
(/.f64 (fma.f64 #s(literal 1 binary64) (.f64 b a) (.f64 b b)) (.f64 b (.f64 b a)))
(/.f64 (+.f64 b (.f64 b (/.f64 b a))) (.f64 b b))
(/.f64 (fma.f64 #s(literal 1 binary64) (.f64 a (neg.f64 b)) (.f64 b (neg.f64 b))) (.f64 b (.f64 a (neg.f64 b))))
(/.f64 (fma.f64 #s(literal 1 binary64) (.f64 a (neg.f64 b)) (.f64 b (.f64 b #s(literal -1 binary64)))) (.f64 b (*.f64 a (neg.f64 b))))
(/.f64 (fma.f64 b (.f64 b a) (.f64 (.f64 b a) a)) (.f64 (.f64 b a) (.f64 b a)))
(/.f64 (fma.f64 b (.f64 a (neg.f64 b)) (.f64 (.f64 b a) (neg.f64 a))) (.f64 (.f64 b a) (.f64 a (neg.f64 b))))
(/.f64 (fma.f64 b (.f64 a (neg.f64 b)) (.f64 (.f64 b a) (.f64 a #s(literal -1 binary64)))) (.f64 (.f64 b a) (*.f64 a (neg.f64 b))))
(/.f64 (fma.f64 b b (.f64 (.f64 b a) (.f64 a (/.f64 #s(literal 1 binary64) a)))) (.f64 (*.f64 b a) b))
(/.f64 (fma.f64 (/.f64 b a) (.f64 b a) (.f64 b a)) (.f64 b (.f64 b a)))
(/.f64 (fma.f64 (/.f64 b a) (.f64 a (neg.f64 b)) (.f64 a (neg.f64 b))) (.f64 b (.f64 a (neg.f64 b))))
(/.f64 (fma.f64 (/.f64 b a) (.f64 a (neg.f64 b)) (.f64 b (.f64 a #s(literal -1 binary64)))) (.f64 b (*.f64 a (neg.f64 b))))
(/.f64 (fma.f64 (/.f64 b a) b (.f64 b (.f64 a (/.f64 #s(literal 1 binary64) a)))) (*.f64 b b))
(/.f64 (fma.f64 (/.f64 b a) b b) (*.f64 b b))
(/.f64 (fma.f64 (neg.f64 b) (.f64 b a) (.f64 (.f64 a (neg.f64 b)) a)) (.f64 (.f64 a (neg.f64 b)) (.f64 b a)))
(/.f64 (fma.f64 (neg.f64 b) (.f64 a (neg.f64 b)) (.f64 (.f64 a (neg.f64 b)) (neg.f64 a))) (.f64 (.f64 a (neg.f64 b)) (.f64 a (neg.f64 b))))
(/.f64 (fma.f64 (neg.f64 b) (.f64 a (neg.f64 b)) (.f64 (.f64 a (neg.f64 b)) (.f64 a #s(literal -1 binary64)))) (.f64 (.f64 a (neg.f64 b)) (*.f64 a (neg.f64 b))))
(/.f64 (fma.f64 (neg.f64 b) b (.f64 (.f64 a (neg.f64 b)) (.f64 a (/.f64 #s(literal 1 binary64) a)))) (.f64 (*.f64 a (neg.f64 b)) b))
(/.f64 (fma.f64 (neg.f64 b) b (.f64 (.f64 a (neg.f64 b)) #s(literal 1 binary64))) (.f64 (.f64 a (neg.f64 b)) b))
(/.f64 (fma.f64 (.f64 b #s(literal -1 binary64)) (.f64 b a) (.f64 (.f64 a (neg.f64 b)) a)) (.f64 (.f64 a (neg.f64 b)) (*.f64 b a)))
(/.f64 (fma.f64 (.f64 b #s(literal -1 binary64)) (.f64 a (neg.f64 b)) (.f64 (.f64 a (neg.f64 b)) (neg.f64 a))) (.f64 (.f64 a (neg.f64 b)) (*.f64 a (neg.f64 b))))
(/.f64 (fma.f64 (.f64 b #s(literal -1 binary64)) (.f64 a (neg.f64 b)) (.f64 (.f64 a (neg.f64 b)) (.f64 a #s(literal -1 binary64)))) (.f64 (.f64 a (neg.f64 b)) (.f64 a (neg.f64 b))))
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eval200.0ms (0.7%)

Memory: 31.6MiB live, 330.4MiB allocated
Compiler: Compiled 26 482 to 1 441 computations (94.6% saved)

prune183.0ms (0.7%)

Memory

-34.2MiB live, 297.5MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	1 407	2	1 409
Fresh	1	0	1
Picked	1	4	5
Done	0	3	3
Total	1 409	9	1 418

Accuracy

100.0%

Counts

1 418 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	64.4%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
✓	46.2%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* a (* eps (+ (/ (exp (* b eps)) (- (exp (* b eps)) 1)) -1/2))) 1) (/.f64 a b)) a))
▶	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)))
✓	46.4%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
✓	52.4%	#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)))
▶	62.2%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) b) (+.f64 a b)))
✓	62.0%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 a b)) (+.f64 a b)))
✓	99.7%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ (* a (* eps (+ (/ (exp (* b eps)) (- (exp (* b eps)) 1)) -1/2))) 1) a) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)))

Compiler

Compiled 97 to 59 computations (39.2% saved)

simplify203.0ms (0.7%)

Memory

1.9MiB live, 274.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

7 792×	`lower-fma.f64`
7 792×	`lower-fma.f32`
4 614×	`lower-*.f32`
4 610×	`lower-*.f64`
1 882×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	118
0	35	118
1	78	118
2	170	110
3	290	110
4	753	110
5	2480	110
6	4408	110
7	6617	110
0	8031	98

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

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

localize70.0ms (0.3%)

Memory

2.9MiB live, 85.4MiB allocated

Localize:

Found 8 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 (/.f64 b (+.f64 b a)) a)))
accuracy	0.01953125	(/.f64 b (+.f64 b a))
accuracy	0.05078125	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (+.f64 b a)) a))
accuracy	0.0546875	(*.f64 (/.f64 b (+.f64 b a)) a)
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 (/.f64 #s(literal 1 binary64) a) b) (+.f64 a b)))
accuracy	0.1328125	(/.f64 (/.f64 #s(literal 1 binary64) a) b)
accuracy	24.2600910257611	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) b) (+.f64 a b))

Samples

52.0ms

256×

valid

Compiler

Compiled 100 to 23 computations (77% saved)

Precisions

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

ival-add: 20.0ms (47.8% of total)

ival-mult: 10.0ms (23.9% of total)

ival-div: 8.0ms (19.1% of total)

ival-expm1: 4.0ms (9.6% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0%)

Memory

22.6MiB live, 22.7MiB allocated

Counts

9 → 228

Calls

Call 1

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

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

Calls

57 calls:

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

simplify332.0ms (1.2%)

Memory

-19.0MiB live, 316.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 116×	`lower-fma.f64`
7 116×	`lower-fma.f32`
5 526×	`lower-*.f64`
5 526×	`lower-*.f32`
3 756×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	359	4606
1	1075	4492
2	3222	4274
0	8112	3764

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 216

Calls

Call 1

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

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

rewrite674.0ms (2.4%)

Memory

7.3MiB live, 321.2MiB allocated

Rules

4 882×	`lower-/.f32`
4 874×	`lower-/.f64`
3 674×	`lower-*.f32`
3 670×	`lower-*.f64`
2 826×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	109
0	35	109
1	164	101
2	1360	101
0	8476	89

Stop Event

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

Counts

9 → 785

Calls

Call 1

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

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

eval277.0ms (1%)

Memory: 18.6MiB live, 257.7MiB allocated
Compiler: Compiled 19 095 to 1 431 computations (92.5% saved)

prune208.0ms (0.7%)

Memory

-3.5MiB live, 195.5MiB allocated

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	1 001	0	1 001
Fresh	0	0	0
Picked	0	2	2
Done	0	7	7
Total	1 001	9	1 010

Accuracy

100.0%

Counts

1 010 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	64.4%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
✓	46.2%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* a (* eps (+ (/ (exp (* b eps)) (- (exp (* b eps)) 1)) -1/2))) 1) (/.f64 a b)) a))
✓	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)))
✓	46.4%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
✓	52.4%	#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)))
✓	62.2%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) b) (+.f64 a b)))
✓	62.0%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 a b)) (+.f64 a b)))
✓	99.7%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ (* a (* eps (+ (/ (exp (* b eps)) (- (exp (* b eps)) 1)) -1/2))) 1) a) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)))

Compiler

Compiled 329 to 129 computations (60.8% saved)

regimes43.0ms (0.2%)

Memory

1.2MiB live, 43.6MiB allocated

Counts

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

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:

26.0ms	(/.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))))
5.0ms	eps
5.0ms	a
5.0ms	b

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)

regimes25.0ms (0.1%)

Memory

-14.7MiB live, 22.9MiB allocated

Counts

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

Outputs

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

Calls

4 calls:

17.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
3.0ms	eps
3.0ms	a
2.0ms	b

Results

Accuracy	Segments	Branch
99.7%	1	`a`
99.7%	1	`b`
99.7%	1	`eps`
99.7%	1	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes9.0ms (0%)

Memory

19.5MiB live, 19.5MiB allocated

Counts

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

Outputs

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

Calls

4 calls:

2.0ms	eps
2.0ms	b
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
84.9%	3	`a`
81.4%	2	`b`
76.9%	3	`eps`
64.4%	1	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes5.0ms (0%)

Memory

-34.4MiB live, 4.0MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
81.9%	2	`a`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0%)

Memory

11.4MiB live, 11.4MiB 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	a
1.0ms	eps
1.0ms	b
1.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
52.4%	1	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`
52.4%	1	`eps`
52.4%	1	`b`
52.4%	1	`a`

Compiler

Compiled 39 to 26 computations (33.3% saved)

bsearch38.0ms (0.1%)

Memory

-9.9MiB live, 28.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	-2.285584704571077e-240	-6.917217425776056e-241
7.0ms	-6.638115451390244e-135	-4.2646026796634444e-135

Samples

11.0ms

144×

valid

Compiler

Compiled 190 to 131 computations (31.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 4.0ms (50.4% of total)

ival-expm1: 2.0ms (25.2% of total)

ival-div: 1.0ms (12.6% of total)

ival-add: 1.0ms (12.6% of total)

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

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

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	-2.285584704571077e-240	-6.917217425776056e-241

Compiler

Compiled 110 to 79 computations (28.2% saved)

simplify7.0ms (0%)

Memory

14.2MiB live, 14.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	270
1	52	270

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)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ (* a (* eps (+ (/ (exp (* b eps)) (- (exp (* b eps)) 1)) -1/2))) 1) a) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)))
(if (<=.f64 a #s(literal -7365128867766319/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688 binary64)) #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 a #s(literal -1055744554050661/469219801800293764373197355969328553831984974596843971042368711922664472663701981746713137411270711303034626199044091413698918166643890203860091306664994072502482932661931411083539271868071588269998735494868914134645646190292788569954038367952474854129664 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))))
(if (<=.f64 a #s(literal -1055744554050661/469219801800293764373197355969328553831984974596843971042368711922664472663701981746713137411270711303034626199044091413698918166643890203860091306664994072502482932661931411083539271868071588269998735494868914134645646190292788569954038367952474854129664 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))) #s(approx (/ (+ (* a (* eps (+ (/ (exp (* b eps)) (- (exp (* b eps)) 1)) -1/2))) 1) a) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)))
(if (<=.f64 a #s(literal -7365128867766319/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688 binary64)) #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 a #s(literal -1055744554050661/469219801800293764373197355969328553831984974596843971042368711922664472663701981746713137411270711303034626199044091413698918166643890203860091306664994072502482932661931411083539271868071588269998735494868914134645646190292788569954038367952474854129664 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))))
(if (<=.f64 a #s(literal -7365128867766319/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688 binary64)) #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 a #s(literal -1055744554050661/469219801800293764373197355969328553831984974596843971042368711922664472663701981746713137411270711303034626199044091413698918166643890203860091306664994072502482932661931411083539271868071588269998735494868914134645646190292788569954038367952474854129664 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))))
(if (<=.f64 a #s(literal -1055744554050661/469219801800293764373197355969328553831984974596843971042368711922664472663701981746713137411270711303034626199044091413698918166643890203860091306664994072502482932661931411083539271868071588269998735494868914134645646190292788569954038367952474854129664 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))

soundness554.0ms (2%)

Memory

-17.8MiB live, 395.4MiB allocated

Rules

9 330×	`lower-fma.f64`
9 330×	`lower-fma.f32`
8 148×	`lower-fma.f64`
8 148×	`lower-fma.f32`
7 346×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	370
0	78	359
1	351	349
2	3522	343
0	8935	323
0	336	2612
1	1079	2564
2	3419	2564
0	8500	2144
0	547	12986
1	1662	12147
2	5405	12082
0	8234	10497

Stop Event

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

Compiler

Compiled 127 to 68 computations (46.5% saved)

preprocess140.0ms (0.5%)

Memory: 24.0MiB live, 141.1MiB allocated
Remove: (sort a b)
Compiler: Compiled 216 to 100 computations (53.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze167.0ms (0.6%)

sample20.4s (73%)

explain237.0ms (0.9%)

preprocess230.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify193.0ms (0.7%)

localize51.0ms (0.2%)

series34.0ms (0.1%)

simplify374.0ms (1.3%)

rewrite258.0ms (0.9%)

eval54.0ms (0.2%)

prune95.0ms (0.3%)

simplify263.0ms (0.9%)

localize305.0ms (1.1%)

series104.0ms (0.4%)

simplify347.0ms (1.2%)

rewrite291.0ms (1%)

eval241.0ms (0.9%)

prune230.0ms (0.8%)

simplify214.0ms (0.8%)

localize123.0ms (0.4%)

series41.0ms (0.1%)

simplify408.0ms (1.5%)

rewrite301.0ms (1.1%)

eval200.0ms (0.7%)

prune183.0ms (0.7%)

simplify203.0ms (0.7%)

localize70.0ms (0.3%)

series11.0ms (0%)

simplify332.0ms (1.2%)

rewrite674.0ms (2.4%)

eval277.0ms (1%)

prune208.0ms (0.7%)

regimes43.0ms (0.2%)

regimes25.0ms (0.1%)

regimes9.0ms (0%)

regimes5.0ms (0%)

regimes5.0ms (0%)

bsearch38.0ms (0.1%)

bsearch1.0ms (0%)

simplify7.0ms (0%)

soundness554.0ms (2%)

preprocess140.0ms (0.5%)

end0.0ms (0%)

Profiling