Metrics for expq3 (problem 3.4.2)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze176.0ms (0.7%)

Memory

17.2MiB live, 210.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 52 to 27 computations (48.1% saved)

sample19.3s (73.3%)

Memory

126.5MiB live, 19 761.8MiB allocated

Samples

12.6s	63 471×	0	invalid
1.3s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 10.8s

ival-mult: 3.9s (36.4% of total)

ival-expm1: 1.9s (17.5% of total)

const: 1.4s (12.9% of total)

ival-fabs: 963.0ms (8.9% of total)

ival-<=: 930.0ms (8.6% of total)

ival-div: 556.0ms (5.2% of total)

ival-fmin: 422.0ms (3.9% of total)

ival-add: 401.0ms (3.7% of total)

ival-and: 230.0ms (2.1% of total)

exact: 52.0ms (0.5% of total)

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

Bogosity

explain243.0ms (0.9%)

Memory

2.0MiB live, 395.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
243	0	-	1	(5.533687203179158e-76 -5.108370621501305e-62 4.714738862867184e-90)	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`
139	1	(-4.5647762113586175e-254 -8.880738840396431e-49 5.9672446162276736e-276)	0	-	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`
107	1	(-4.5647762113586175e-254 -8.880738840396431e-49 5.9672446162276736e-276)	0	-	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`
94	0	-	0	-	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`
0	0	-	0	-	`(+.f64 a b)`
0	0	-	0	-	`(*.f64 b eps)`
0	0	-	0	-	`(exp.f64 (*.f64 a eps))`
0	0	-	0	-	`a`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(*.f64 a eps)`
0	0	-	0	-	`(exp.f64 (*.f64 (+.f64 a b) eps))`
0	0	-	0	-	`eps`
0	0	-	0	-	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`
0	0	-	0	-	`(.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))`
0	0	-	0	-	`(*.f64 (+.f64 a b) eps)`
0	0	-	0	-	`(exp.f64 (*.f64 b eps))`
0	0	-	0	-	`b`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`	u/u	217	0
↳	`(.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))`	underflow	217
↳	`(*.f64 (+.f64 a b) eps)`	underflow	116
↳	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`	underflow	116
↳	`(*.f64 b eps)`	underflow	148
↳	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	underflow	162
↳	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	underflow	148
↳	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`	underflow	242
↳	`(*.f64 a eps)`	underflow	162
`-.f64`	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`	cancellation	140	0
`-.f64`	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	cancellation	108	0
`-.f64`	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	cancellation	94	0
`/.f64`	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`	n/u	25	0
↳	`(*.f64 b eps)`	underflow	148
↳	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	underflow	162
↳	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	underflow	148
↳	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`	underflow	242
↳	`(*.f64 a eps)`	underflow	162

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	116
3	92
4	48

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

79.0ms

512×

valid

Compiler

Compiled 229 to 55 computations (76% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-exp: 28.0ms (48.2% of total)

ival-mult: 15.0ms (25.8% of total)

ival-expm1: 8.0ms (13.8% of total)

ival-div: 3.0ms (5.2% of total)

ival-add: 3.0ms (5.2% of total)

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

exact: 0.0ms (0% of total)

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

preprocess217.0ms (0.8%)

Memory

50.0MiB live, 234.4MiB 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)

eval6.0ms (0%)

Memory: -60.4MiB live, 0.5MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune15.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB 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)

simplify168.0ms (0.6%)

Memory

16.3MiB live, 129.2MiB 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)

localize65.0ms (0.2%)

Memory

15.7MiB live, 94.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	22.406098686409308	(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))
accuracy	23.003688257717236	(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))
accuracy	31.710457691030054	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))
accuracy	58.395243514272046	(/.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

48.0ms

256×

valid

Compiler

Compiled 101 to 19 computations (81.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 11.0ms (47.5% of total)

ival-exp: 5.0ms (21.6% of total)

ival-expm1: 4.0ms (17.3% of total)

ival-div: 2.0ms (8.6% of total)

ival-add: 1.0ms (4.3% of total)

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

exact: 0.0ms (0% of total)

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

series27.0ms (0.1%)

Memory

1.6MiB live, 36.6MiB 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
8.0ms	eps	@	0	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
2.0ms	a	@	0	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
2.0ms	eps	@	-inf	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
1.0ms	a	@	inf	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
1.0ms	b	@	inf	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))

simplify281.0ms (1.1%)

Memory

6.1MiB live, 396.7MiB 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))))

rewrite261.0ms (1%)

Memory

37.5MiB live, 447.6MiB 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 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)))))
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(.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)))))
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(.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)

eval102.0ms (0.4%)

Memory: -6.0MiB live, 113.4MiB allocated
Compiler: Compiled 17 466 to 1 535 computations (91.2% saved)

prune93.0ms (0.4%)

Memory

-47.1MiB live, 182.7MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

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

Accuracy

98.9%

Counts

485 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.1%	(/.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 (+.f64 a b) eps))) (expm1.f64 (.f64 b eps)))
▶	13.6%	#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))))
▶	40.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.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))
▶	60.5%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
▶	47.0%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
▶	53.4%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))

Compiler

Compiled 236 to 128 computations (45.8% saved)

simplify274.0ms (1%)

Memory

42.8MiB live, 315.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps a))) #s(literal -1/2 binary64)))
cost-diff	0	(fma.f64 b (.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps a))) #s(literal -1/2 binary64))) #s(literal 1 binary64))
cost-diff	0	(/.f64 (fma.f64 b (.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps a))) #s(literal -1/2 binary64))) #s(literal 1 binary64)) b)
cost-diff	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (fma.f64 b (.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps a))) #s(literal -1/2 binary64))) #s(literal 1 binary64)) b))
cost-diff	0	#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	513
0	78	496
1	175	482
2	516	467
3	2123	443
4	4877	435
5	6097	411
6	6973	375
7	7896	375
0	8003	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 b (.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps a))) #s(literal -1/2 binary64))) #s(literal 1 binary64)) b))
(/.f64 (fma.f64 b (.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps a))) #s(literal -1/2 binary64))) #s(literal 1 binary64)) b)
(fma.f64 b (.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps a))) #s(literal -1/2 binary64))) #s(literal 1 binary64))
b
(.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps a))) #s(literal -1/2 binary64)))
eps
(+.f64 (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (.f64 eps a))) #s(literal -1/2 binary64))
(/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (.f64 eps a)))
(exp.f64 (*.f64 eps a))
(*.f64 eps a)
a
(expm1.f64 (*.f64 eps a))
#s(literal -1/2 binary64)
#s(literal 1 binary64)

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

localize916.0ms (3.5%)

Memory

-41.4MiB live, 393.6MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0859375	(/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (.f64 eps a)))
accuracy	0.10546875	(/.f64 (fma.f64 b (.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps a))) #s(literal -1/2 binary64))) #s(literal 1 binary64)) b)
accuracy	0.1171875	(fma.f64 b (.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps a))) #s(literal -1/2 binary64))) #s(literal 1 binary64))
accuracy	37.648767790314295	(.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps a))) #s(literal -1/2 binary64)))
accuracy	0.0703125	(.f64 (+.f64 b a) (.f64 #s(literal -1/2 binary64) (fma.f64 b (.f64 b a) (.f64 b (*.f64 a a)))))
accuracy	0.07421875	(.f64 b (.f64 a a))
accuracy	26.386429216474426	(/.f64 (.f64 (+.f64 b a) (+.f64 b a)) (.f64 b a))
accuracy	54.79754628994972	(/.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	33.89436177455921	#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	29.8459138190564	#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	25.30398620402415	(/.f64 (+.f64 b a) (*.f64 b a))

Samples

799.0ms

256×

valid

Compiler

Compiled 456 to 47 computations (89.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 606.0ms

ival-div: 313.0ms (51.7% of total)

ival-add: 165.0ms (27.2% of total)

ival-mult: 77.0ms (12.7% of total)

adjust: 35.0ms (5.8% of total)

ival-expm1: 10.0ms (1.7% of total)

ival-exp: 4.0ms (0.7% of total)

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

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

exact: 0.0ms (0% of total)

series145.0ms (0.6%)

Memory

10.3MiB live, 84.7MiB 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 b (.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (.f64 eps a))) #s(literal -1/2 binary64))) #s(literal 1 binary64)) b)) (patch #s(approx (/ ( eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (fma.f64 b (.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps a))) #s(literal -1/2 binary64))) #s(literal 1 binary64)) b)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 b (.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (.f64 eps a))) #s(literal -1/2 binary64))) #s(literal 1 binary64)) b) (patch (/.f64 (fma.f64 b (.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (.f64 eps a))) #s(literal -1/2 binary64))) #s(literal 1 binary64)) b) #<representation binary64>) () ())
#s(alt (fma.f64 b (.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (.f64 eps a))) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (patch (fma.f64 b (.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (.f64 eps a))) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (.f64 eps a))) #s(literal -1/2 binary64))) (patch (.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (.f64 eps a))) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (+.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 eps a)) (expm1.f64 (.f64 eps a))) (patch (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (.f64 eps a))) #<representation binary64>) () ())

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

Calls

135 calls:

Time	Variable		Point	Expression
42.0ms	b	@	inf	(+ (* 1/2 (/ (* (+ b a) (+ b a)) (* b a))) (/ (* (+ b a) (* -1/2 (+ (* b (* b a)) (* b (* a a))))) (* b (* b (* a a)))))
31.0ms	a	@	inf	(/ (+ (* b (* eps (+ (/ (exp (* eps a)) (- (exp (* eps a)) 1)) -1/2))) 1) b)
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	a	@	0	(/ (+ b a) (* b 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)))))

simplify337.0ms (1.3%)

Memory

-13.1MiB live, 464.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8 156×	`lower-fma.f64`
8 156×	`lower-fma.f32`
6 452×	`lower-*.f64`
6 452×	`lower-*.f32`
3 086×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	548	12988
1	1657	12143
2	5411	12078
0	8235	10493

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

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

rewrite302.0ms (1.1%)

Memory

17.2MiB live, 453.0MiB allocated

Rules

4 380×	`lower-/.f32`
4 366×	`lower-/.f64`
4 074×	`lower-*.f32`
4 056×	`lower-*.f64`
3 138×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	380
0	78	359
1	370	349
2	3564	343
0	9075	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 b (.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps a))) #s(literal -1/2 binary64))) #s(literal 1 binary64)) b))
(/.f64 (fma.f64 b (.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps a))) #s(literal -1/2 binary64))) #s(literal 1 binary64)) b)
(fma.f64 b (.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps a))) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps a))) #s(literal -1/2 binary64)))
(/.f64 (.f64 (+.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 eps a)) (expm1.f64 (.f64 eps a)))

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

eval234.0ms (0.9%)

Memory: 26.2MiB live, 325.9MiB allocated
Compiler: Compiled 59 143 to 3 365 computations (94.3% saved)

prune258.0ms (1%)

Memory

-23.4MiB live, 335.0MiB allocated

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	1 470	4	1 474
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	1 473	7	1 480

Accuracy

100.0%

Counts

1 480 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	27.4%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.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))))
✓	60.5%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
▶	53.2%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* b (* eps (+ (/ (exp (* eps a)) (- (exp (* eps a)) 1)) -1/2))) 1) (/.f64 b a)) b))
✓	47.0%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
✓	53.4%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
▶	100.0%	#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)))
▶	99.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ (* b (* eps (+ (/ (exp (* eps a)) (- (exp (* eps a)) 1)) -1/2))) 1) b) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)))

Compiler

Compiled 81 to 48 computations (40.7% saved)

simplify190.0ms (0.7%)

Memory

6.1MiB live, 212.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

5 310×	`lower-fma.f64`
5 310×	`lower-fma.f32`
3 984×	`lower-*.f32`
3 980×	`lower-*.f64`
1 924×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	358
0	63	358
1	114	358
2	223	358
3	398	358
4	699	358
5	1565	358
6	3208	358
7	5443	358
0	8708	319

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

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

localize132.0ms (0.5%)

Memory

2.9MiB live, 205.9MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.14453125	(/.f64 #s(literal 1 binary64) (*.f64 b b))
accuracy	0.16015625	(/.f64 #s(literal 1 binary64) (*.f64 a a))
accuracy	13.64445487571763	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 #s(literal 1 binary64) (.f64 a a)))
accuracy	45.458360611647244	(/.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)))
accuracy	0	(/.f64 b a)
accuracy	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* b (* eps (+ (/ (exp (* eps a)) (- (exp (* eps a)) 1)) -1/2))) 1) (/.f64 b a)) b))
accuracy	0.10546875	(/.f64 #s(approx (+ (* b (* eps (+ (/ (exp (* eps a)) (- (exp (* eps a)) 1)) -1/2))) 1) (/.f64 b a)) b)
accuracy	29.65695574654353	#s(approx (+ (* b (* eps (+ (/ (exp (* eps a)) (- (exp (* eps a)) 1)) -1/2))) 1) (/.f64 b a))
accuracy	0	(/.f64 #s(literal 1 binary64) b)
accuracy	0	(/.f64 #s(literal 1 binary64) a)
accuracy	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))
accuracy	0.01953125	(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
accuracy	0	(+.f64 #s(literal 1 binary64) (/.f64 a b))
accuracy	0	#s(approx (/ (+ (* b (* eps (+ (/ (exp (* eps a)) (- (exp (* eps a)) 1)) -1/2))) 1) b) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a))
accuracy	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ (* b (* eps (+ (/ (exp (* eps a)) (- (exp (* eps a)) 1)) -1/2))) 1) b) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)))
accuracy	0.125	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)

Samples

83.0ms

256×

valid

Compiler

Compiled 260 to 40 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-add: 22.0ms (33.1% of total)

ival-div: 19.0ms (28.6% of total)

ival-mult: 16.0ms (24.1% of total)

ival-expm1: 5.0ms (7.5% of total)

ival-exp: 2.0ms (3% of total)

ival-sub: 2.0ms (3% of total)

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

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

exact: 0.0ms (0% of total)

series37.0ms (0.1%)

Memory

-0.8MiB live, 70.5MiB allocated

Counts

17 → 444

Calls

Call 1

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

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

Calls

111 calls:

Time	Variable		Point	Expression
3.0ms	a	@	0	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
1.0ms	b	@	0	(/ (- (/ 1 (* b b)) (/ 1 (* a a))) (- (/ 1 b) (/ 1 a)))
0.0ms	a	@	0	(/ (- (/ 1 (* b b)) (/ 1 (* a a))) (- (/ 1 b) (/ 1 a)))
0.0ms	b	@	-inf	(/ (+ 1 (/ a b)) a)
0.0ms	a	@	inf	(/ (+ 1 (/ a b)) a)

simplify306.0ms (1.2%)

Memory

8.9MiB live, 520.3MiB allocated

Algorithm

1×	egg-herbie

Rules

9 794×	`lower-fma.f64`
9 794×	`lower-fma.f32`
6 248×	`lower-*.f64`
6 248×	`lower-*.f32`
4 036×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	342	10417
1	986	10002
2	3333	9582
0	8252	8368

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

Calls

Call 1

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

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

rewrite317.0ms (1.2%)

Memory

-19.2MiB live, 392.6MiB allocated

Rules

4 644×	`lower-/.f32`
4 626×	`lower-/.f64`
3 556×	`lower-fma.f64`
3 556×	`lower-fma.f32`
3 226×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	325
0	63	301
1	316	293
2	2807	293
0	8829	254

Stop Event

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

Counts

17 → 539

Calls

Call 1

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

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

eval323.0ms (1.2%)

Memory: 13.5MiB live, 159.6MiB allocated
Compiler: Compiled 25 878 to 1 419 computations (94.5% saved)

prune195.0ms (0.7%)

Memory

15.2MiB live, 214.9MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	1 040	1	1 041
Fresh	0	0	0
Picked	1	3	4
Done	0	3	3
Total	1 041	7	1 048

Accuracy

100.0%

Counts

1 048 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	60.5%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
▶	14.2%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (- (/ 1 (* b b)) (/ 1 (* a a))) (/.f64 #s(literal -1 binary64) (*.f64 a a))) (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))
✓	53.2%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* b (* eps (+ (/ (exp (* eps a)) (- (exp (* eps a)) 1)) -1/2))) 1) (/.f64 b a)) b))
✓	47.0%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
✓	53.4%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
✓	100.0%	#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)))
✓	99.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ (* b (* eps (+ (/ (exp (* eps a)) (- (exp (* eps a)) 1)) -1/2))) 1) b) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)))

Compiler

Compiled 76 to 46 computations (39.5% saved)

simplify139.0ms (0.5%)

Memory

13.7MiB live, 131.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

4 700×	`lower-fma.f64`
4 700×	`lower-fma.f32`
2 838×	`lower-*.f32`
2 836×	`lower-*.f64`
1 072×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	117
0	37	117
1	70	117
2	136	117
3	224	117
4	403	117
5	794	117
6	1512	117
7	3822	117
8	6569	117
0	8033	111

Stop Event

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

Calls

Call 1

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

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

localize72.0ms (0.3%)

Memory

-16.3MiB live, 113.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.02734375	(-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
accuracy	0.16015625	(/.f64 #s(literal -1 binary64) (*.f64 a a))
accuracy	29.877452920950482	#s(approx (- (/ 1 (* b b)) (/ 1 (* a a))) (/.f64 #s(literal -1 binary64) (*.f64 a a)))
accuracy	45.458360611647244	(/.f64 #s(approx (- (/ 1 (* b b)) (/ 1 (* a a))) (/.f64 #s(literal -1 binary64) (*.f64 a a))) (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))

Samples

56.0ms

256×

valid

Compiler

Compiled 81 to 27 computations (66.7% saved)

Precisions

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

ival-div: 18.0ms (39.2% of total)

ival-mult: 12.0ms (26.1% of total)

ival-expm1: 12.0ms (26.1% of total)

ival-sub: 2.0ms (4.4% of total)

ival-add: 1.0ms (2.2% 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

-18.4MiB live, 17.9MiB allocated

Counts

5 → 120

Calls

Call 1

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

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

Calls

30 calls:

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

simplify299.0ms (1.1%)

Memory

7.4MiB live, 439.0MiB allocated

Algorithm

1×	egg-herbie

Rules

9 456×	`lower-fma.f64`
9 456×	`lower-fma.f32`
5 862×	`lower-*.f64`
5 862×	`lower-*.f32`
4 684×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	222	2322
1	618	2278
2	2015	2198
0	8689	1959

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

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

rewrite238.0ms (0.9%)

Memory

45.1MiB live, 387.3MiB allocated

Rules

4 374×	`lower-*.f32`
4 372×	`lower-*.f64`
4 338×	`lower-/.f32`
4 330×	`lower-/.f64`
3 402×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	104
0	37	104
1	193	88
2	1740	88
0	8251	82

Stop Event

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

Counts

5 → 120

Calls

Call 1

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

eval27.0ms (0.1%)

Memory: -16.2MiB live, 59.8MiB allocated
Compiler: Compiled 5 767 to 562 computations (90.3% saved)

prune32.0ms (0.1%)

Memory

-19.9MiB live, 67.8MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	240	0	240
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	240	7	247

Accuracy

100.0%

Counts

247 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	60.5%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
✓	14.2%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (- (/ 1 (* b b)) (/ 1 (* a a))) (/.f64 #s(literal -1 binary64) (*.f64 a a))) (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))
✓	53.2%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* b (* eps (+ (/ (exp (* eps a)) (- (exp (* eps a)) 1)) -1/2))) 1) (/.f64 b a)) b))
✓	47.0%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
✓	53.4%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
✓	100.0%	#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)))
✓	99.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ (* b (* eps (+ (/ (exp (* eps a)) (- (exp (* eps a)) 1)) -1/2))) 1) b) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)))

Compiler

Compiled 262 to 111 computations (57.6% saved)

regimes18.0ms (0.1%)

Memory

-0.3MiB live, 38.6MiB allocated

Counts

12 → 1

Calls

Call 1

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

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:

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

Results

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

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes9.0ms (0%)

Memory

23.1MiB live, 23.1MiB allocated

Counts

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.8%	1	`a`
99.8%	1	`b`
99.8%	1	`eps`
99.8%	1	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes10.0ms (0%)

Memory

-18.2MiB live, 20.9MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
86.5%	3	`a`
83.0%	3	`b`
73.9%	2	`eps`
60.5%	1	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes2.0ms (0%)

Memory

4.8MiB live, 4.8MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
84.9%	2	`a`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0%)

Memory

14.4MiB live, 14.4MiB 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
53.4%	1	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`
53.4%	1	`eps`
53.4%	1	`b`
53.4%	1	`a`

Compiler

Compiled 39 to 26 computations (33.3% saved)

bsearch38.0ms (0.1%)

Memory

-14.4MiB live, 64.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	-9.503062972940928e-201	-1.3873382712161196e-205
16.0ms	-1.307313107480095e-80	-1.5247546016598089e-83

Samples

25.0ms

272×

valid

Compiler

Compiled 334 to 231 computations (30.8% saved)

Precisions

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

ival-mult: 11.0ms (60.7% of total)

ival-expm1: 4.0ms (22.1% of total)

ival-div: 2.0ms (11% of total)

ival-add: 1.0ms (5.5% of total)

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

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

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-9.503062972940928e-201	-1.3873382712161196e-205

Compiler

Compiled 174 to 127 computations (27% 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	48	270
1	55	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 (/ (+ (* b (* eps (+ (/ (exp (* eps a)) (- (exp (* eps a)) 1)) -1/2))) 1) b) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)))
(if (<=.f64 a #s(literal -6971861685245851/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 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 -3274918531216805/344728266443874206170545512964432112225507069317819522056079337263512430464013488758041250121488036739611555846958495676040441511948045769973944468809441663382665538511073745187088876036706973599091474545756168257536 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 -3274918531216805/344728266443874206170545512964432112225507069317819522056079337263512430464013488758041250121488036739611555846958495676040441511948045769973944468809441663382665538511073745187088876036706973599091474545756168257536 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 (/ (+ (* b (* eps (+ (/ (exp (* eps a)) (- (exp (* eps a)) 1)) -1/2))) 1) b) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)))
(if (<=.f64 a #s(literal -6971861685245851/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 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 -3274918531216805/344728266443874206170545512964432112225507069317819522056079337263512430464013488758041250121488036739611555846958495676040441511948045769973944468809441663382665538511073745187088876036706973599091474545756168257536 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 -6971861685245851/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 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 -3274918531216805/344728266443874206170545512964432112225507069317819522056079337263512430464013488758041250121488036739611555846958495676040441511948045769973944468809441663382665538511073745187088876036706973599091474545756168257536 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 -3274918531216805/344728266443874206170545512964432112225507069317819522056079337263512430464013488758041250121488036739611555846958495676040441511948045769973944468809441663382665538511073745187088876036706973599091474545756168257536 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))

soundness484.0ms (1.8%)

Memory

5.9MiB live, 332.8MiB allocated

Rules

9 330×	`lower-fma.f64`
9 330×	`lower-fma.f32`
8 156×	`lower-fma.f64`
8 156×	`lower-fma.f32`
7 346×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	380
0	78	359
1	370	349
2	3564	343
0	9075	323
0	336	2612
1	1079	2564
2	3419	2564
0	8500	2144
0	548	12988
1	1657	12143
2	5411	12078
0	8235	10493

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)

preprocess43.0ms (0.2%)

Memory: -31.8MiB live, 83.0MiB 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%)

analyze176.0ms (0.7%)

sample19.3s (73.3%)

explain243.0ms (0.9%)

preprocess217.0ms (0.8%)

eval6.0ms (0%)

prune15.0ms (0.1%)

simplify168.0ms (0.6%)

localize65.0ms (0.2%)

series27.0ms (0.1%)

simplify281.0ms (1.1%)

rewrite261.0ms (1%)

eval102.0ms (0.4%)

prune93.0ms (0.4%)

simplify274.0ms (1%)

localize916.0ms (3.5%)

series145.0ms (0.6%)

simplify337.0ms (1.3%)

rewrite302.0ms (1.1%)

eval234.0ms (0.9%)

prune258.0ms (1%)

simplify190.0ms (0.7%)

localize132.0ms (0.5%)

series37.0ms (0.1%)

simplify306.0ms (1.2%)

rewrite317.0ms (1.2%)

eval323.0ms (1.2%)

prune195.0ms (0.7%)

simplify139.0ms (0.5%)

localize72.0ms (0.3%)

series11.0ms (0%)

simplify299.0ms (1.1%)

rewrite238.0ms (0.9%)

eval27.0ms (0.1%)

prune32.0ms (0.1%)

regimes18.0ms (0.1%)

regimes9.0ms (0%)

regimes10.0ms (0%)

regimes2.0ms (0%)

regimes5.0ms (0%)

bsearch38.0ms (0.1%)

bsearch1.0ms (0%)

simplify7.0ms (0%)

soundness484.0ms (1.8%)

preprocess43.0ms (0.2%)

end0.0ms (0%)

Profiling