Metrics for expq3 (problem 3.4.2)

analyze162.0ms (0.6%)

Memory

-8.5MiB live, 151.0MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 52 to 27 computations (48.1% saved)

sample18.7s (67.1%)

Memory

116.5MiB live, 20 727.4MiB allocated

Samples

12.4s	63 311×	0	invalid
1.5s	8 256×	0	valid

Precisions

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

ival-mult: 3.3s (29.5% of total)

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

const: 1.4s (12.4% of total)

ival-<=: 1.2s (11.3% of total)

ival-fabs: 945.0ms (8.6% of total)

ival-add: 853.0ms (7.7% of total)

ival-div: 843.0ms (7.6% of total)

ival-fmin: 427.0ms (3.9% of total)

ival-and: 258.0ms (2.3% of total)

exact: 46.0ms (0.4% of total)

ival-assert: 26.0ms (0.2% of total)

Bogosity

preprocess498.0ms (1.8%)

Memory

16.0MiB live, 320.2MiB 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)

explain359.0ms (1.3%)

Memory

6.1MiB live, 497.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
240	0	-	4	(-1.1973805610391073e-80 1.081436909395064e-46 6.063916366647559e-93)	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`
136	4	(-1.1322582232947581e-101 -3.602249756559468e-217 4.086669563594994e-223)	0	-	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`
102	3	(-1.1322582232947581e-101 -3.602249756559468e-217 4.086669563594994e-223)	0	-	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`
100	2	(-5.491270774967148e-78 -9.63828744351843e-153 1.6682065261885523e-171)	0	-	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`
0	0	-	0	-	`(+.f64 a b)`
0	0	-	0	-	`(*.f64 b eps)`
0	0	-	0	-	`(exp.f64 (*.f64 a eps))`
0	0	-	0	-	`a`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(*.f64 a eps)`
0	0	-	0	-	`(exp.f64 (*.f64 (+.f64 a b) eps))`
0	0	-	0	-	`eps`
0	0	-	0	-	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`
0	0	-	0	-	`(.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))`
0	0	-	0	-	`(*.f64 (+.f64 a b) eps)`
0	0	-	0	-	`(exp.f64 (*.f64 b eps))`
0	0	-	0	-	`b`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`	u/u	215	0
↳	`(.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))`	underflow	215
↳	`(*.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	154
↳	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	underflow	151
↳	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	underflow	154
↳	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`	underflow	236
↳	`(*.f64 a eps)`	underflow	151
`-.f64`	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`	cancellation	140	0
`-.f64`	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	cancellation	105	0
`-.f64`	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	cancellation	102	0
`/.f64`	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`	n/u	21	0
↳	`(*.f64 b eps)`	underflow	154
↳	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	underflow	151
↳	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	underflow	154
↳	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`	underflow	236
↳	`(*.f64 a eps)`	underflow	151

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	93
4	47

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

66.0ms

512×

valid

Compiler

Compiled 256 to 72 computations (71.9% saved)

Precisions

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

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

ival-exp: 10.0ms (23.4% of total)

ival-expm1: 9.0ms (21.1% of total)

ival-div: 5.0ms (11.7% of total)

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

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	0.0%	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))

Status

Accuracy

Program

▶

0.0%

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

Compiler

Compiled 27 to 17 computations (37% saved)

simplify339.0ms (1.2%)

Memory

-15.9MiB live, 303.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize98.0ms (0.4%)

Memory

-9.1MiB live, 77.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	65.1%	(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))
✓	accuracy	64.5%	(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))
✓	accuracy	52.9%	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))
✓	accuracy	10.7%	(/.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

67.0ms

256×

valid

Compiler

Compiled 101 to 19 computations (81.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-add: 39.0ms (68.9% of total)

ival-mult: 7.0ms (12.4% of total)

ival-exp: 5.0ms (8.8% of total)

ival-expm1: 4.0ms (7.1% of total)

ival-div: 2.0ms (3.5% of total)

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

exact: 0.0ms (0% of total)

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

series21.0ms (0.1%)

Memory

19.4MiB live, 19.4MiB allocated

Counts

4 → 120

Calls

Call 1

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

Outputs
#<alt (- (exp (* b eps)) 1)>
#<alt (- (+ (exp (* b eps)) (* a (* eps (exp (* b eps))))) 1)>
#<alt (- (+ (exp (* b eps)) (* a (+ (* 1/2 (* a (* (pow eps 2) (exp (* b eps))))) (* eps (exp (* b eps)))))) 1)>
#<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)>
#<alt (- (exp (* eps (+ a b))) 1)>
#<alt (- (exp (* eps (+ a b))) 1)>
#<alt (- (exp (* eps (+ a b))) 1)>
#<alt (- (exp (* eps (+ a b))) 1)>
#<alt (- (exp (* eps (- b (* -1 a)))) 1)>
#<alt (- (exp (* eps (- b (* -1 a)))) 1)>
#<alt (- (exp (* eps (- b (* -1 a)))) 1)>
#<alt (- (exp (* eps (- b (* -1 a)))) 1)>
#<alt (- (exp (* a eps)) 1)>
#<alt (- (+ (exp (* a eps)) (* b (* eps (exp (* a eps))))) 1)>
#<alt (- (+ (exp (* a eps)) (* b (+ (* 1/2 (* b (* (pow eps 2) (exp (* a eps))))) (* eps (exp (* a eps)))))) 1)>
#<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)>
#<alt (- (exp (* eps (+ a b))) 1)>
#<alt (- (exp (* eps (+ a b))) 1)>
#<alt (- (exp (* eps (+ a b))) 1)>
#<alt (- (exp (* eps (+ a b))) 1)>
#<alt (- (exp (* eps (- a (* -1 b)))) 1)>
#<alt (- (exp (* eps (- a (* -1 b)))) 1)>
#<alt (- (exp (* eps (- a (* -1 b)))) 1)>
#<alt (- (exp (* eps (- a (* -1 b)))) 1)>
#<alt (* eps (+ a b))>
#<alt (* eps (+ a (+ b (* 1/2 (* eps (pow (+ a b) 2))))))>
#<alt (* eps (+ a (+ b (* eps (+ (* 1/6 (* eps (pow (+ a b) 3))) (* 1/2 (pow (+ a b) 2)))))))>
#<alt (* eps (+ a (+ b (* eps (+ (* 1/2 (pow (+ a b) 2)) (* eps (+ (* 1/24 (* eps (pow (+ a b) 4))) (* 1/6 (pow (+ a b) 3)))))))))>
#<alt (- (exp (* eps (+ a b))) 1)>
#<alt (- (exp (* eps (+ a b))) 1)>
#<alt (- (exp (* eps (+ a b))) 1)>
#<alt (- (exp (* eps (+ a b))) 1)>
#<alt (- (exp (* eps (+ a b))) 1)>
#<alt (- (exp (* eps (+ a b))) 1)>
#<alt (- (exp (* eps (+ a b))) 1)>
#<alt (- (exp (* eps (+ a b))) 1)>
#<alt (* a eps)>
#<alt (* a (+ eps (* 1/2 (* a (pow eps 2)))))>
#<alt (* a (+ eps (* a (+ (* 1/6 (* a (pow eps 3))) (* 1/2 (pow eps 2))))))>
#<alt (* a (+ eps (* a (+ (* 1/2 (pow eps 2)) (* a (+ (* 1/24 (* a (pow eps 4))) (* 1/6 (pow eps 3))))))))>
#<alt (- (exp (* a eps)) 1)>
#<alt (- (exp (* a eps)) 1)>
#<alt (- (exp (* a eps)) 1)>
#<alt (- (exp (* a eps)) 1)>
#<alt (- (exp (* a eps)) 1)>
#<alt (- (exp (* a eps)) 1)>
#<alt (- (exp (* a eps)) 1)>
#<alt (- (exp (* a eps)) 1)>
#<alt (* a eps)>
#<alt (* eps (+ a (* 1/2 (* (pow a 2) eps))))>
#<alt (* eps (+ a (* eps (+ (* 1/6 (* (pow a 3) eps)) (* 1/2 (pow a 2))))))>
#<alt (* eps (+ a (* eps (+ (* 1/2 (pow a 2)) (* eps (+ (* 1/24 (* (pow a 4) eps)) (* 1/6 (pow a 3))))))))>
#<alt (- (exp (* a eps)) 1)>
#<alt (- (exp (* a eps)) 1)>
#<alt (- (exp (* a eps)) 1)>
#<alt (- (exp (* a eps)) 1)>
#<alt (- (exp (* a eps)) 1)>
#<alt (- (exp (* a eps)) 1)>
#<alt (- (exp (* a eps)) 1)>
#<alt (- (exp (* a eps)) 1)>
#<alt (* b eps)>
#<alt (* b (+ eps (* 1/2 (* b (pow eps 2)))))>
#<alt (* b (+ eps (* b (+ (* 1/6 (* b (pow eps 3))) (* 1/2 (pow eps 2))))))>
#<alt (* b (+ eps (* b (+ (* 1/2 (pow eps 2)) (* b (+ (* 1/24 (* b (pow eps 4))) (* 1/6 (pow eps 3))))))))>
#<alt (- (exp (* b eps)) 1)>
#<alt (- (exp (* b eps)) 1)>
#<alt (- (exp (* b eps)) 1)>
#<alt (- (exp (* b eps)) 1)>
#<alt (- (exp (* b eps)) 1)>
#<alt (- (exp (* b eps)) 1)>
#<alt (- (exp (* b eps)) 1)>
#<alt (- (exp (* b eps)) 1)>
#<alt (* b eps)>
#<alt (* eps (+ b (* 1/2 (* (pow b 2) eps))))>
#<alt (* eps (+ b (* eps (+ (* 1/6 (* (pow b 3) eps)) (* 1/2 (pow b 2))))))>
#<alt (* eps (+ b (* eps (+ (* 1/2 (pow b 2)) (* eps (+ (* 1/24 (* (pow b 4) eps)) (* 1/6 (pow b 3))))))))>
#<alt (- (exp (* b eps)) 1)>
#<alt (- (exp (* b eps)) 1)>
#<alt (- (exp (* b eps)) 1)>
#<alt (- (exp (* b eps)) 1)>
#<alt (- (exp (* b eps)) 1)>
#<alt (- (exp (* b eps)) 1)>
#<alt (- (exp (* b eps)) 1)>
#<alt (- (exp (* b eps)) 1)>
#<alt (/ (+ a b) (* a b))>
#<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)))>
#<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)))>
#<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)))>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ 1 a)>
#<alt (/ (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) a)>
#<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)>
#<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)>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ 1 b)>
#<alt (/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b)>
#<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)>
#<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)>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>

Calls

30 calls:

Time	Variable		Point	Expression
3.0ms	eps	@	0	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
2.0ms	a	@	0	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
2.0ms	eps	@	-inf	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
1.0ms	a	@	inf	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
1.0ms	eps	@	inf	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))

simplify1.1s (4%)

Memory

-8.7MiB live, 415.0MiB 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)
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(/.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 #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))))

rewrite377.0ms (1.4%)

Memory

21.2MiB live, 499.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 364

Calls

Call 1

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

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

eval48.0ms (0.2%)

Memory: -12.1MiB live, 99.9MiB allocated
Compiler: Compiled 17 346 to 1 535 computations (91.2% saved)

prune61.0ms (0.2%)

Memory

22.3MiB live, 146.1MiB 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

98.1%

Counts

485 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.9%	(.f64 (/.f64 eps (expm1.f64 (.f64 a (.f64 eps #s(literal 3 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a eps)) (exp.f64 (.f64 a (+.f64 eps eps))))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps)))))
▶	14.5%	#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))))
▶	40.3%	#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))
▶	60.3%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
▶	51.7%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
▶	46.2%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))

Compiler

Compiled 258 to 150 computations (41.9% saved)

simplify320.0ms (1.2%)

Memory

7.6MiB live, 446.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

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	431
0	78	415
1	175	403
2	516	393
3	2127	375
4	4900	369
5	6108	353
6	6987	329
7	7901	329
0	8007	309

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

localize412.0ms (1.5%)

Memory

16.7MiB live, 721.0MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f64 b (.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps a))) #s(literal -1/2 binary64))) #s(literal 1 binary64))
✓	accuracy	99.8%	(/.f64 (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	99.8%	(/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (.f64 eps a)))
✓	accuracy	41.0%	(.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps a))) #s(literal -1/2 binary64)))
✓	accuracy	99.9%	(fma.f64 b (.f64 b a) (.f64 b (*.f64 a a)))
✓	accuracy	99.9%	(.f64 b (.f64 a a))
✓	accuracy	58.5%	(/.f64 (.f64 (+.f64 b a) (+.f64 b a)) (.f64 b a))
✓	accuracy	16.0%	(/.f64 (.f64 (+.f64 b a) (.f64 #s(literal -1/2 binary64) (fma.f64 b (.f64 b a) (.f64 b (.f64 a a))))) (.f64 b (.f64 b (.f64 a a))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) b)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) a)
✓	accuracy	100.0%	(+.f64 b a)
✓	accuracy	100.0%	(*.f64 b a)
✓	accuracy	60.3%	(/.f64 (+.f64 b a) (*.f64 b a))

Samples

326.0ms

256×

valid

Compiler

Compiled 456 to 47 computations (89.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 246.0ms

ival-mult: 83.0ms (33.7% of total)

adjust: 73.0ms (29.6% of total)

ival-div: 45.0ms (18.3% of total)

ival-add: 30.0ms (12.2% of total)

ival-expm1: 10.0ms (4.1% of total)

ival-exp: 5.0ms (2% of total)

exact: 1.0ms (0.4% of total)

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

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

series69.0ms (0.2%)

Memory

-2.9MiB live, 118.9MiB allocated

Counts

16 → 396

Calls

Call 1

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

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

Calls

99 calls:

Time	Variable		Point	Expression
9.0ms	a	@	inf	(+ (* 1/2 (/ (* (+ b a) (+ b a)) (* b a))) (/ (* (+ b a) (* -1/2 (+ (* b (* b a)) (* b (* a a))))) (* b (* b (* a a)))))
6.0ms	a	@	0	(+ (* 1/2 (/ (* (+ b a) (+ b a)) (* b a))) (/ (* (+ b a) (* -1/2 (+ (* b (* b a)) (* b (* a a))))) (* b (* b (* a a)))))
6.0ms	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)))))
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)))))

simplify407.0ms (1.5%)

Memory

27.9MiB live, 684.2MiB allocated

Algorithm

1×	egg-herbie

Rules

14 448×	`lower-fma.f64`
14 448×	`lower-fma.f32`
5 712×	`lower-+.f64`
5 712×	`lower-+.f32`
4 322×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	389	5199
1	1133	4660
2	3553	4390
0	8140	3988

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 390

Calls

Call 1

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

Outputs
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ (+ 1 (/ b a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/ (+ 1 (/ b a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/ (+ 1 (/ b a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ (+ 1 (/ a b)) a)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/ (+ 1 (/ a b)) a)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/ (+ 1 (/ a b)) a)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
a
(+ a b)
(+.f64 b a)
(+ a b)
(+.f64 b a)
(+ a b)
(+.f64 b a)
b
(* b (+ 1 (/ a b)))
(fma.f64 #s(literal 1 binary64) (/.f64 a #s(literal 1 binary64)) b)
(* b (+ 1 (/ a b)))
(fma.f64 #s(literal 1 binary64) (/.f64 a #s(literal 1 binary64)) b)
(* b (+ 1 (/ a b)))
(fma.f64 #s(literal 1 binary64) (/.f64 a #s(literal 1 binary64)) b)
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(neg.f64 (*.f64 b (-.f64 #s(literal -1 binary64) (/.f64 a b))))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(neg.f64 (*.f64 b (-.f64 #s(literal -1 binary64) (/.f64 a b))))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(neg.f64 (*.f64 b (-.f64 #s(literal -1 binary64) (/.f64 a b))))
b
(+ a b)
(+.f64 b a)
(+ a b)
(+.f64 b a)
(+ a b)
(+.f64 b a)
a
(* a (+ 1 (/ b a)))
(fma.f64 #s(literal 1 binary64) (/.f64 b #s(literal 1 binary64)) a)
(* a (+ 1 (/ b a)))
(fma.f64 #s(literal 1 binary64) (/.f64 b #s(literal 1 binary64)) a)
(* a (+ 1 (/ b a)))
(fma.f64 #s(literal 1 binary64) (/.f64 b #s(literal 1 binary64)) a)
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)) (neg.f64 a))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)) (neg.f64 a))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)) (neg.f64 a))
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ (+ (* -1/2 a) (* 1/2 a)) b)
#s(literal 0 binary64)
(/ (+ (* -1/2 a) (* 1/2 a)) b)
#s(literal 0 binary64)
(/ (+ (* -1/2 a) (* 1/2 a)) b)
#s(literal 0 binary64)
(/ (+ (* -1/2 a) (* 1/2 a)) b)
#s(literal 0 binary64)
(/ (+ (* -1/2 a) (* 1/2 a)) b)
#s(literal 0 binary64)
(/ (+ (* -1/2 a) (* 1/2 a)) b)
#s(literal 0 binary64)
(/ (+ (* -1/2 a) (* 1/2 a)) b)
#s(literal 0 binary64)
(/ (+ (* -1/2 a) (* 1/2 a)) b)
#s(literal 0 binary64)
(* -1 (/ (+ (* -1/2 a) (* 1/2 a)) b))
#s(literal 0 binary64)
(* -1 (/ (+ (* -1/2 a) (* 1/2 a)) b))
#s(literal 0 binary64)
(* -1 (/ (+ (* -1/2 a) (* 1/2 a)) b))
#s(literal 0 binary64)
(* -1 (/ (+ (* -1/2 a) (* 1/2 a)) b))
#s(literal 0 binary64)
(/ (+ (* -1/2 b) (* 1/2 b)) a)
#s(literal 0 binary64)
(/ (+ (* -1/2 b) (* 1/2 b)) a)
#s(literal 0 binary64)
(/ (+ (* -1/2 b) (* 1/2 b)) a)
#s(literal 0 binary64)
(/ (+ (* -1/2 b) (* 1/2 b)) a)
#s(literal 0 binary64)
(/ (+ (* -1/2 b) (* 1/2 b)) a)
#s(literal 0 binary64)
(/ (+ (* -1/2 b) (* 1/2 b)) a)
#s(literal 0 binary64)
(/ (+ (* -1/2 b) (* 1/2 b)) a)
#s(literal 0 binary64)
(/ (+ (* -1/2 b) (* 1/2 b)) a)
#s(literal 0 binary64)
(* -1 (/ (+ (* -1/2 b) (* 1/2 b)) a))
#s(literal 0 binary64)
(* -1 (/ (+ (* -1/2 b) (* 1/2 b)) a))
#s(literal 0 binary64)
(* -1 (/ (+ (* -1/2 b) (* 1/2 b)) a))
#s(literal 0 binary64)
(* -1 (/ (+ (* -1/2 b) (* 1/2 b)) a))
#s(literal 0 binary64)
(* -1/2 (/ a b))
(/.f64 (*.f64 a #s(literal -1/2 binary64)) b)
(/ (+ (* -1 b) (* -1/2 a)) b)
(fma.f64 a (/.f64 #s(literal -1/2 binary64) b) #s(literal -1 binary64))
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(.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps)))))
(* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))
(.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps)))))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ (+ 1 (* (pow a 2) (* eps (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps)))))) a)
(/.f64 (fma.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 a (*.f64 a eps)) #s(literal 1 binary64)) a)
(/ (+ 1 (* (pow a 2) (+ (* a (* eps (- (* 1/6 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (+ (* 1/12 (pow eps 2)) (* 1/2 (* eps (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps)))))))))) (* eps (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps))))))) a)
(/.f64 (fma.f64 a (.f64 (.f64 a eps) (fma.f64 a (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/12 binary64))))) (*.f64 eps #s(literal 1/12 binary64)))) #s(literal 1 binary64)) a)
(/ (+ 1 (* (pow a 2) (+ (* a (+ (* a (* eps (- (* 1/24 (pow eps 3)) (+ (* 1/120 (pow eps 3)) (+ (* 1/48 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps))))) (* 1/2 (* eps (- (* 1/6 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (+ (* 1/12 (pow eps 2)) (* 1/2 (* eps (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps)))))))))))))))) (* eps (- (* 1/6 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (+ (* 1/12 (pow eps 2)) (* 1/2 (* eps (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps))))))))))) (* eps (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps))))))) a)
(/.f64 (fma.f64 a (.f64 a (fma.f64 eps (.f64 eps #s(literal 1/12 binary64)) (.f64 (.f64 a eps) (fma.f64 a (-.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal 1/80 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) eps) (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/12 binary64))))) (.f64 (.f64 eps eps) (.f64 #s(literal 1/6 binary64) (.f64 eps #s(literal 1/12 binary64)))))) (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/12 binary64))))))))) #s(literal 1 binary64)) a)
(* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))
(.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps)))))
(* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))
(.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps)))))
(* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))
(.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps)))))
(* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))
(.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps)))))
(* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))
(.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps)))))
(* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))
(.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps)))))
(* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))
(.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps)))))
(* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))
(.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps)))))
(/ 1 (* a eps))
(/.f64 #s(literal 1 binary64) (*.f64 a eps))
(/ (+ (* (pow eps 2) (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))) (/ 1 a)) eps)
(/.f64 (fma.f64 eps (.f64 eps (.f64 a #s(literal 1/12 binary64))) (/.f64 #s(literal 1 binary64) a)) eps)
(/ (+ (* (pow eps 2) (- (+ (* 1/2 a) (* eps (- (* 1/6 (pow a 2)) (+ (* 1/24 (pow a 2)) (+ (* 1/12 (pow a 2)) (* 1/2 (* a (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))))))))) (+ (* 1/6 a) (* 1/4 a)))) (/ 1 a)) eps)
(/.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (fma.f64 a (.f64 a #s(literal 1/24 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 a a) #s(literal 1/12 binary64)))) (.f64 a #s(literal 1/12 binary64))) (/.f64 #s(literal 1 binary64) a)) eps)
(/ (+ (* (pow eps 2) (- (+ (* 1/2 a) (* eps (- (+ (* 1/6 (pow a 2)) (* eps (- (* 1/24 (pow a 3)) (+ (* 1/120 (pow a 3)) (+ (* 1/48 (pow a 3)) (+ (* 1/6 (* (pow a 2) (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a))))) (* 1/2 (* a (- (* 1/6 (pow a 2)) (+ (* 1/24 (pow a 2)) (+ (* 1/12 (pow a 2)) (* 1/2 (* a (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))))))))))))))) (+ (* 1/24 (pow a 2)) (+ (* 1/12 (pow a 2)) (* 1/2 (* a (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))))))))) (+ (* 1/6 a) (* 1/4 a)))) (/ 1 a)) eps)
(/.f64 (fma.f64 (.f64 eps eps) (fma.f64 a #s(literal 1/12 binary64) (.f64 eps (fma.f64 eps (-.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/80 binary64)) (fma.f64 a (.f64 #s(literal 1/2 binary64) (fma.f64 a (.f64 a #s(literal 1/24 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 a a) #s(literal 1/12 binary64))))) (.f64 (.f64 a a) (.f64 #s(literal 1/6 binary64) (.f64 a #s(literal 1/12 binary64)))))) (fma.f64 a (.f64 a #s(literal 1/24 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 a a) #s(literal 1/12 binary64))))))) (/.f64 #s(literal 1 binary64) a)) eps)
(- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))))
(- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))))
(- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))))
(- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))))
(- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))))
(- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))))
(- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))))
(- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))))
(/ 1 (* a eps))
(/.f64 #s(literal 1 binary64) (*.f64 a eps))
(/ (+ (* (pow a 2) (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps)))) (/ 1 eps)) a)
(/.f64 (fma.f64 a (.f64 a (.f64 eps #s(literal 1/12 binary64))) (/.f64 #s(literal 1 binary64) eps)) a)
(/ (+ (* (pow a 2) (- (+ (* 1/2 eps) (* a (- (* 1/6 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (+ (* 1/12 (pow eps 2)) (* 1/2 (* eps (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps)))))))))) (+ (* 1/6 eps) (* 1/4 eps)))) (/ 1 eps)) a)
(/.f64 (fma.f64 a (.f64 a (fma.f64 a (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/12 binary64))))) (.f64 eps #s(literal 1/12 binary64)))) (/.f64 #s(literal 1 binary64) eps)) a)
(/ (+ (* (pow a 2) (- (+ (* 1/2 eps) (* a (- (+ (* 1/6 (pow eps 2)) (* a (- (* 1/24 (pow eps 3)) (+ (* 1/120 (pow eps 3)) (+ (* 1/48 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps))))) (* 1/2 (* eps (- (* 1/6 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (+ (* 1/12 (pow eps 2)) (* 1/2 (* eps (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps)))))))))))))))) (+ (* 1/24 (pow eps 2)) (+ (* 1/12 (pow eps 2)) (* 1/2 (* eps (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps)))))))))) (+ (* 1/6 eps) (* 1/4 eps)))) (/ 1 eps)) a)
(/.f64 (fma.f64 (.f64 a a) (fma.f64 a (fma.f64 a (-.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal 1/80 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) eps) (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/12 binary64))))) (.f64 (.f64 eps eps) (.f64 #s(literal 1/6 binary64) (.f64 eps #s(literal 1/12 binary64)))))) (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/12 binary64)))))) (.f64 eps #s(literal 1/12 binary64))) (/.f64 #s(literal 1 binary64) eps)) a)
(- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))))
(- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))))
(- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))))
(- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))))
(- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))))
(- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))))
(- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))))
(- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))))
(/ a b)
(/.f64 a b)
(/ (+ a (* 2 b)) b)
(/.f64 (fma.f64 b #s(literal 2 binary64) a) b)
(/ (+ a (* b (+ 2 (/ b a)))) b)
(/.f64 (fma.f64 b (+.f64 (/.f64 b a) #s(literal 2 binary64)) a) b)
(/ (+ a (* b (+ 2 (/ b a)))) b)
(/.f64 (fma.f64 b (+.f64 (/.f64 b a) #s(literal 2 binary64)) a) b)
(/ b a)
(/.f64 b a)
(* b (+ (/ 1 a) (* 2 (/ 1 b))))
(+.f64 (/.f64 b a) #s(literal 2 binary64))
(* b (+ (/ 1 a) (+ (* 2 (/ 1 b)) (/ a (pow b 2)))))
(+.f64 #s(literal 2 binary64) (fma.f64 b (/.f64 a (*.f64 b b)) (/.f64 b a)))
(* b (+ (/ 1 a) (+ (* 2 (/ 1 b)) (/ a (pow b 2)))))
(+.f64 #s(literal 2 binary64) (fma.f64 b (/.f64 a (*.f64 b b)) (/.f64 b a)))
(/ b a)
(/.f64 b a)
(* b (+ (/ 1 a) (* 2 (/ 1 b))))
(+.f64 (/.f64 b a) #s(literal 2 binary64))
(* -1 (* b (- (* -1 (/ (+ 2 (/ a b)) b)) (/ 1 a))))
(*.f64 b (+.f64 (/.f64 (+.f64 (/.f64 a b) #s(literal 2 binary64)) b) (/.f64 #s(literal 1 binary64) a)))
(* -1 (* b (- (* -1 (/ (+ 2 (/ a b)) b)) (/ 1 a))))
(*.f64 b (+.f64 (/.f64 (+.f64 (/.f64 a b) #s(literal 2 binary64)) b) (/.f64 #s(literal 1 binary64) a)))
(/ b a)
(/.f64 b a)
(/ (+ b (* 2 a)) a)
(/.f64 (fma.f64 a #s(literal 2 binary64) b) a)
(/ (+ b (* a (+ 2 (/ a b)))) a)
(/.f64 (fma.f64 a (+.f64 (/.f64 a b) #s(literal 2 binary64)) b) a)
(/ (+ b (* a (+ 2 (/ a b)))) a)
(/.f64 (fma.f64 a (+.f64 (/.f64 a b) #s(literal 2 binary64)) b) a)
(/ a b)
(/.f64 a b)
(* a (+ (* 2 (/ 1 a)) (/ 1 b)))
(+.f64 (/.f64 a b) #s(literal 2 binary64))
(* a (+ (* 2 (/ 1 a)) (+ (/ 1 b) (/ b (pow a 2)))))
(fma.f64 a (/.f64 b (*.f64 a a)) (+.f64 (/.f64 a b) #s(literal 2 binary64)))
(* a (+ (* 2 (/ 1 a)) (+ (/ 1 b) (/ b (pow a 2)))))
(fma.f64 a (/.f64 b (*.f64 a a)) (+.f64 (/.f64 a b) #s(literal 2 binary64)))
(/ a b)
(/.f64 a b)
(* a (+ (* 2 (/ 1 a)) (/ 1 b)))
(+.f64 (/.f64 a b) #s(literal 2 binary64))
(* -1 (* a (- (* -1 (/ (+ 2 (/ b a)) a)) (/ 1 b))))
(*.f64 a (+.f64 (/.f64 (+.f64 (/.f64 b a) #s(literal 2 binary64)) a) (/.f64 #s(literal 1 binary64) b)))
(* -1 (* a (- (* -1 (/ (+ 2 (/ b a)) a)) (/ 1 b))))
(*.f64 a (+.f64 (/.f64 (+.f64 (/.f64 b a) #s(literal 2 binary64)) a) (/.f64 #s(literal 1 binary64) b)))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(/ 1 (* a eps))
(/.f64 #s(literal 1 binary64) (*.f64 a eps))
(/ (+ (* 1/2 eps) (/ 1 a)) eps)
(/.f64 (fma.f64 #s(literal 1/2 binary64) eps (/.f64 #s(literal 1 binary64) a)) eps)
(/ (+ (* eps (+ 1/2 (* eps (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))))) (/ 1 a)) eps)
(/.f64 (fma.f64 eps (fma.f64 eps (*.f64 a #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) eps)
(/ (+ (* eps (+ 1/2 (* eps (- (+ (* 1/2 a) (* eps (- (* 1/6 (pow a 2)) (+ (* 1/24 (pow a 2)) (+ (* 1/12 (pow a 2)) (* 1/2 (* a (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))))))))) (+ (* 1/6 a) (* 1/4 a)))))) (/ 1 a)) eps)
(/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 a (.f64 a #s(literal 1/24 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 a a) #s(literal 1/12 binary64)))) (*.f64 a #s(literal 1/12 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) eps)
(/ (exp (* a eps)) (- (exp (* a eps)) 1))
(/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))
(/ (exp (* a eps)) (- (exp (* a eps)) 1))
(/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))
(/ (exp (* a eps)) (- (exp (* a eps)) 1))
(/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))
(/ (exp (* a eps)) (- (exp (* a eps)) 1))
(/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))
(/ (exp (* a eps)) (- (exp (* a eps)) 1))
(/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))
(/ (exp (* a eps)) (- (exp (* a eps)) 1))
(/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))
(/ (exp (* a eps)) (- (exp (* a eps)) 1))
(/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))
(/ (exp (* a eps)) (- (exp (* a eps)) 1))
(/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))
(/ 1 (* a eps))
(/.f64 #s(literal 1 binary64) (*.f64 a eps))
(/ (+ (* 1/2 a) (/ 1 eps)) a)
(/.f64 (fma.f64 a #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps)) a)
(/ (+ (* a (+ 1/2 (* a (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps)))))) (/ 1 eps)) a)
(/.f64 (fma.f64 a (fma.f64 a (*.f64 eps #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) eps)) a)
(/ (+ (* a (+ 1/2 (* a (- (+ (* 1/2 eps) (* a (- (* 1/6 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (+ (* 1/12 (pow eps 2)) (* 1/2 (* eps (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps)))))))))) (+ (* 1/6 eps) (* 1/4 eps)))))) (/ 1 eps)) a)
(/.f64 (fma.f64 a (fma.f64 a (fma.f64 a (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) (.f64 #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)))

rewrite561.0ms (2%)

Memory

-29.6MiB live, 410.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 116×	`lower-fma.f32`
5 108×	`lower-fma.f64`
4 436×	`lower-/.f32`
4 422×	`lower-/.f64`
4 382×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	219
0	60	209
1	281	201
2	2790	195
0	9384	195

Stop Event

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

Counts

16 → 628

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune3.0ms (0%)

Memory

4.2MiB live, 4.2MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	5	5
Done	0	0
Total	6	6

Accuracy

98.1%

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	26.9%	(.f64 (/.f64 eps (expm1.f64 (.f64 a (.f64 eps #s(literal 3 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a eps)) (exp.f64 (.f64 a (+.f64 eps eps))))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps)))))
✓	14.5%	#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))))
✓	40.3%	#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))
✓	60.3%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
✓	51.7%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
✓	46.2%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))

Compiler

Compiled 129 to 75 computations (41.9% saved)

simplify544.0ms (2%)

Memory

34.6MiB live, 345.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 a (.f64 eps #s(literal 3 binary64)))
✓	cost-diff	0	(expm1.f64 (.f64 a (.f64 eps #s(literal 3 binary64))))
✓	cost-diff	0	(/.f64 eps (expm1.f64 (.f64 a (.f64 eps #s(literal 3 binary64)))))
✓	cost-diff	512	(.f64 (/.f64 eps (expm1.f64 (.f64 a (.f64 eps #s(literal 3 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a eps)) (exp.f64 (.f64 a (+.f64 eps eps))))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps)))))

Rules

16 208×	`lower-fma.f64`
16 208×	`lower-fma.f32`
3 208×	`lower-*.f32`
3 192×	`lower-*.f64`
3 180×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	163
0	46	163
1	88	163
2	186	163
3	699	163
4	2957	163
5	6775	163
0	8204	159

Stop Event

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

Calls

Call 1

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

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

localize133.0ms (0.5%)

Memory

-29.3MiB live, 84.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a eps)) (exp.f64 (.f64 a (+.f64 eps eps))))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (*.f64 b eps))))
✓	accuracy	99.6%	(.f64 (/.f64 eps (expm1.f64 (.f64 a (.f64 eps #s(literal 3 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a eps)) (exp.f64 (.f64 a (+.f64 eps eps))))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps)))))
✓	accuracy	42.3%	(/.f64 eps (expm1.f64 (.f64 a (.f64 eps #s(literal 3 binary64)))))
✓	accuracy	41.0%	(/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps)))

Samples

46.0ms

256×

valid

Compiler

Compiled 187 to 26 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 18.0ms (53.7% of total)

ival-add: 4.0ms (11.9% of total)

ival-expm1: 4.0ms (11.9% of total)

ival-div: 3.0ms (9% of total)

ival-exp: 3.0ms (9% of total)

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

exact: 0.0ms (0% of total)

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

series82.0ms (0.3%)

Memory

42.9MiB live, 78.7MiB allocated

Counts

6 → 180

Calls

Call 1

Inputs
#<alt (.f64 (/.f64 eps (expm1.f64 (.f64 a (.f64 eps #s(literal 3 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a eps)) (exp.f64 (.f64 a (+.f64 eps eps))))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps)))))>
#<alt (/.f64 eps (expm1.f64 (.f64 a (.f64 eps #s(literal 3 binary64)))))>
#<alt (expm1.f64 (.f64 a (.f64 eps #s(literal 3 binary64))))>
#<alt (.f64 a (.f64 eps #s(literal 3 binary64)))>
#<alt (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps)))>
#<alt (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a eps)) (exp.f64 (.f64 a (+.f64 eps eps))))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (*.f64 b eps))))>

Outputs
#<alt (/ (+ a b) (* a b))>
#<alt (+ (* eps (- (* 1/3 (/ (+ (* 3/2 (pow (+ a b) 2)) (* (+ a b) (+ a (* 2 a)))) (* a b))) (* 1/3 (/ (* (+ a b) (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))))) (+ (/ 1 a) (/ 1 b)))>
#<alt (+ (* eps (- (+ (* 1/3 (/ (+ (* 3/2 (pow (+ a b) 2)) (* (+ a b) (+ a (* 2 a)))) (* a b))) (* eps (- (* 1/3 (/ (+ (* 1/2 (* (pow (+ a b) 2) (+ a (* 2 a)))) (+ (* 1/2 (pow (+ a b) 3)) (* (+ a b) (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))))) (* a b))) (+ (* 1/3 (/ (* (+ a b) (+ (* 1/2 (* a (pow b 3))) (+ (* 9/4 (* (pow a 2) (pow b 2))) (* 9/2 (* (pow a 3) b))))) (* (pow a 2) (pow b 2)))) (* 1/3 (/ (* (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b))) (- (* 1/3 (/ (+ (* 3/2 (pow (+ a b) 2)) (* (+ a b) (+ a (* 2 a)))) (* a b))) (* 1/3 (/ (* (+ a b) (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))))) (* a b))))))) (* 1/3 (/ (* (+ a b) (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))))) (+ (/ 1 a) (/ 1 b)))>
#<alt (+ (* eps (- (+ (* 1/3 (/ (+ (* 3/2 (pow (+ a b) 2)) (* (+ a b) (+ a (* 2 a)))) (* a b))) (* eps (- (+ (* 1/3 (/ (+ (* 1/2 (* (pow (+ a b) 2) (+ a (* 2 a)))) (+ (* 1/2 (pow (+ a b) 3)) (* (+ a b) (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))))) (* a b))) (* eps (- (* 1/3 (/ (+ (* 1/8 (pow (+ a b) 4)) (+ (* 1/6 (* (pow (+ a b) 3) (+ a (* 2 a)))) (+ (* 1/2 (* (pow (+ a b) 2) (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (* (+ a b) (+ (* 1/6 (pow a 3)) (* 4/3 (pow a 3))))))) (* a b))) (+ (* 1/3 (/ (* (+ a b) (+ (* 1/8 (* a (pow b 4))) (+ (* 3/4 (* (pow a 2) (pow b 3))) (+ (* 9/4 (* (pow a 3) (pow b 2))) (* 27/8 (* (pow a 4) b)))))) (* (pow a 2) (pow b 2)))) (+ (* 1/3 (/ (* (+ (* 1/2 (* a (pow b 3))) (+ (* 9/4 (* (pow a 2) (pow b 2))) (* 9/2 (* (pow a 3) b)))) (- (* 1/3 (/ (+ (* 3/2 (pow (+ a b) 2)) (* (+ a b) (+ a (* 2 a)))) (* a b))) (* 1/3 (/ (* (+ a b) (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))))) (* a b))) (* 1/3 (/ (* (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b))) (- (* 1/3 (/ (+ (* 1/2 (* (pow (+ a b) 2) (+ a (* 2 a)))) (+ (* 1/2 (pow (+ a b) 3)) (* (+ a b) (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))))) (* a b))) (+ (* 1/3 (/ (* (+ a b) (+ (* 1/2 (* a (pow b 3))) (+ (* 9/4 (* (pow a 2) (pow b 2))) (* 9/2 (* (pow a 3) b))))) (* (pow a 2) (pow b 2)))) (* 1/3 (/ (* (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b))) (- (* 1/3 (/ (+ (* 3/2 (pow (+ a b) 2)) (* (+ a b) (+ a (* 2 a)))) (* a b))) (* 1/3 (/ (* (+ a b) (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))))) (* a b)))))) (* a b)))))))) (+ (* 1/3 (/ (* (+ a b) (+ (* 1/2 (* a (pow b 3))) (+ (* 9/4 (* (pow a 2) (pow b 2))) (* 9/2 (* (pow a 3) b))))) (* (pow a 2) (pow b 2)))) (* 1/3 (/ (* (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b))) (- (* 1/3 (/ (+ (* 3/2 (pow (+ a b) 2)) (* (+ a b) (+ a (* 2 a)))) (* a b))) (* 1/3 (/ (* (+ a b) (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))))) (* a b))))))) (* 1/3 (/ (* (+ a b) (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))))) (+ (/ 1 a) (/ 1 b)))>
#<alt (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))>
#<alt (/ 1 a)>
#<alt (/ (+ 1 (* a (- (* 1/3 (/ (+ (* 3 (* eps (exp (* b eps)))) (* (+ eps (* 2 eps)) (- (exp (* b eps)) 1))) (- (exp (* b eps)) 1))) (* 3/2 eps)))) a)>
#<alt (/ (+ 1 (* a (- (+ (* 1/3 (/ (+ (* 3 (* eps (exp (* b eps)))) (* (+ eps (* 2 eps)) (- (exp (* b eps)) 1))) (- (exp (* b eps)) 1))) (* a (- (* 1/3 (/ (+ (* 3/2 (* (pow eps 2) (exp (* b eps)))) (+ (* eps (* (exp (* b eps)) (+ eps (* 2 eps)))) (* (+ (* 1/2 (pow eps 2)) (* 2 (pow eps 2))) (- (exp (* b eps)) 1)))) (- (exp (* b eps)) 1))) (+ (* 3/2 (* eps (- (* 1/3 (/ (+ (* 3 (* eps (exp (* b eps)))) (* (+ eps (* 2 eps)) (- (exp (* b eps)) 1))) (- (exp (* b eps)) 1))) (* 3/2 eps)))) (* 3/2 (pow eps 2)))))) (* 3/2 eps)))) a)>
#<alt (/ (+ 1 (* a (- (+ (* 1/3 (/ (+ (* 3 (* eps (exp (* b eps)))) (* (+ eps (* 2 eps)) (- (exp (* b eps)) 1))) (- (exp (* b eps)) 1))) (* a (- (+ (* 1/3 (/ (+ (* 3/2 (* (pow eps 2) (exp (* b eps)))) (+ (* eps (* (exp (* b eps)) (+ eps (* 2 eps)))) (* (+ (* 1/2 (pow eps 2)) (* 2 (pow eps 2))) (- (exp (* b eps)) 1)))) (- (exp (* b eps)) 1))) (* a (- (* 1/3 (/ (+ (* 1/2 (* (pow eps 2) (* (exp (* b eps)) (+ eps (* 2 eps))))) (+ (* 1/2 (* (pow eps 3) (exp (* b eps)))) (+ (* eps (* (exp (* b eps)) (+ (* 1/2 (pow eps 2)) (* 2 (pow eps 2))))) (* (+ (* 1/6 (pow eps 3)) (* 4/3 (pow eps 3))) (- (exp (* b eps)) 1))))) (- (exp (* b eps)) 1))) (+ (* 9/8 (pow eps 3)) (+ (* 3/2 (* eps (- (* 1/3 (/ (+ (* 3/2 (* (pow eps 2) (exp (* b eps)))) (+ (* eps (* (exp (* b eps)) (+ eps (* 2 eps)))) (* (+ (* 1/2 (pow eps 2)) (* 2 (pow eps 2))) (- (exp (* b eps)) 1)))) (- (exp (* b eps)) 1))) (+ (* 3/2 (* eps (- (* 1/3 (/ (+ (* 3 (* eps (exp (* b eps)))) (* (+ eps (* 2 eps)) (- (exp (* b eps)) 1))) (- (exp (* b eps)) 1))) (* 3/2 eps)))) (* 3/2 (pow eps 2)))))) (* 3/2 (* (pow eps 2) (- (* 1/3 (/ (+ (* 3 (* eps (exp (* b eps)))) (* (+ eps (* 2 eps)) (- (exp (* b eps)) 1))) (- (exp (* b eps)) 1))) (* 3/2 eps))))))))) (+ (* 3/2 (* eps (- (* 1/3 (/ (+ (* 3 (* eps (exp (* b eps)))) (* (+ eps (* 2 eps)) (- (exp (* b eps)) 1))) (- (exp (* b eps)) 1))) (* 3/2 eps)))) (* 3/2 (pow eps 2)))))) (* 3/2 eps)))) a)>
#<alt (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (- b (* -1 a)))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (- b (* -1 a)))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (- b (* -1 a)))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (- b (* -1 a)))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1)) (* b (- (exp (* 3 (* a eps))) 1)))>
#<alt (/ (+ (* b (- (/ (* eps (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))))) (- (exp (* 3 (* a eps))) 1)) (* 1/2 (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))) (- (exp (* 3 (* a eps))) 1))))) (/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1)) (- (exp (* 3 (* a eps))) 1))) b)>
#<alt (/ (+ (* b (- (+ (* b (- (* 1/2 (/ (* (pow eps 2) (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))))) (- (exp (* 3 (* a eps))) 1))) (+ (* 1/6 (/ (* (pow eps 2) (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))) (- (exp (* 3 (* a eps))) 1))) (* 1/2 (* eps (- (/ (* eps (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))))) (- (exp (* 3 (* a eps))) 1)) (* 1/2 (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))) (- (exp (* 3 (* a eps))) 1))))))))) (/ (* eps (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))))) (- (exp (* 3 (* a eps))) 1))) (* 1/2 (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))) (- (exp (* 3 (* a eps))) 1))))) (/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1)) (- (exp (* 3 (* a eps))) 1))) b)>
#<alt (/ (+ (* b (- (+ (* b (- (+ (* 1/2 (/ (* (pow eps 2) (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))))) (- (exp (* 3 (* a eps))) 1))) (* b (- (* 1/6 (/ (* (pow eps 3) (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))))) (- (exp (* 3 (* a eps))) 1))) (+ (* 1/24 (/ (* (pow eps 3) (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))) (- (exp (* 3 (* a eps))) 1))) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))))) (- (exp (* 3 (* a eps))) 1)) (* 1/2 (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))) (- (exp (* 3 (* a eps))) 1)))))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))))) (- (exp (* 3 (* a eps))) 1))) (+ (* 1/6 (/ (* (pow eps 2) (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))) (- (exp (* 3 (* a eps))) 1))) (* 1/2 (* eps (- (/ (* eps (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))))) (- (exp (* 3 (* a eps))) 1)) (* 1/2 (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))) (- (exp (* 3 (* a eps))) 1))))))))))))))) (+ (* 1/6 (/ (* (pow eps 2) (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))) (- (exp (* 3 (* a eps))) 1))) (* 1/2 (* eps (- (/ (* eps (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))))) (- (exp (* 3 (* a eps))) 1)) (* 1/2 (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))) (- (exp (* 3 (* a eps))) 1))))))))) (/ (* eps (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))))) (- (exp (* 3 (* a eps))) 1))) (* 1/2 (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))) (- (exp (* 3 (* a eps))) 1))))) (/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1)) (- (exp (* 3 (* a eps))) 1))) b)>
#<alt (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (- a (* -1 b)))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (- a (* -1 b)))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (- a (* -1 b)))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (- a (* -1 b)))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))>
#<alt (/ 1/3 a)>
#<alt (+ (* -1/2 eps) (* 1/3 (/ 1 a)))>
#<alt (+ (* eps (- (* -1 (* eps (+ (* -3/4 a) (* 1/2 a)))) 1/2)) (* 1/3 (/ 1 a)))>
#<alt (+ (* eps (- (* eps (- (* -1 (* eps (+ (* -3/2 (* a (+ (* -3/4 a) (* 1/2 a)))) (+ (* -3/4 (pow a 2)) (* 3/8 (pow a 2)))))) (+ (* -3/4 a) (* 1/2 a)))) 1/2)) (* 1/3 (/ 1 a)))>
#<alt (/ eps (- (exp (* 3 (* a eps))) 1))>
#<alt (/ eps (- (exp (* 3 (* a eps))) 1))>
#<alt (/ eps (- (exp (* 3 (* a eps))) 1))>
#<alt (/ eps (- (exp (* 3 (* a eps))) 1))>
#<alt (/ eps (- (exp (* 3 (* a eps))) 1))>
#<alt (/ eps (- (exp (* 3 (* a eps))) 1))>
#<alt (/ eps (- (exp (* 3 (* a eps))) 1))>
#<alt (/ eps (- (exp (* 3 (* a eps))) 1))>
#<alt (/ 1/3 a)>
#<alt (/ (+ 1/3 (* -1/2 (* a eps))) a)>
#<alt (/ (+ 1/3 (* a (- (* -1 (* a (+ (* -3/4 (pow eps 2)) (* 1/2 (pow eps 2))))) (* 1/2 eps)))) a)>
#<alt (/ (+ 1/3 (* a (- (* a (- (* -1 (* a (+ (* -3/2 (* eps (+ (* -3/4 (pow eps 2)) (* 1/2 (pow eps 2))))) (+ (* -3/4 (pow eps 3)) (* 3/8 (pow eps 3)))))) (+ (* -3/4 (pow eps 2)) (* 1/2 (pow eps 2))))) (* 1/2 eps)))) a)>
#<alt (/ eps (- (exp (* 3 (* a eps))) 1))>
#<alt (/ eps (- (exp (* 3 (* a eps))) 1))>
#<alt (/ eps (- (exp (* 3 (* a eps))) 1))>
#<alt (/ eps (- (exp (* 3 (* a eps))) 1))>
#<alt (/ eps (- (exp (* 3 (* a eps))) 1))>
#<alt (/ eps (- (exp (* 3 (* a eps))) 1))>
#<alt (/ eps (- (exp (* 3 (* a eps))) 1))>
#<alt (/ eps (- (exp (* 3 (* a eps))) 1))>
#<alt (* 3 (* a eps))>
#<alt (* a (+ (* 3 eps) (* 9/2 (* a (pow eps 2)))))>
#<alt (* a (+ (* 3 eps) (* a (+ (* 9/2 (* a (pow eps 3))) (* 9/2 (pow eps 2))))))>
#<alt (* a (+ (* 3 eps) (* a (+ (* 9/2 (pow eps 2)) (* a (+ (* 27/8 (* a (pow eps 4))) (* 9/2 (pow eps 3))))))))>
#<alt (- (exp (* 3 (* a eps))) 1)>
#<alt (- (exp (* 3 (* a eps))) 1)>
#<alt (- (exp (* 3 (* a eps))) 1)>
#<alt (- (exp (* 3 (* a eps))) 1)>
#<alt (- (exp (* 3 (* a eps))) 1)>
#<alt (- (exp (* 3 (* a eps))) 1)>
#<alt (- (exp (* 3 (* a eps))) 1)>
#<alt (- (exp (* 3 (* a eps))) 1)>
#<alt (* 3 (* a eps))>
#<alt (* eps (+ (* 3 a) (* 9/2 (* (pow a 2) eps))))>
#<alt (* eps (+ (* 3 a) (* eps (+ (* 9/2 (* (pow a 3) eps)) (* 9/2 (pow a 2))))))>
#<alt (* eps (+ (* 3 a) (* eps (+ (* 9/2 (pow a 2)) (* eps (+ (* 27/8 (* (pow a 4) eps)) (* 9/2 (pow a 3))))))))>
#<alt (- (exp (* 3 (* a eps))) 1)>
#<alt (- (exp (* 3 (* a eps))) 1)>
#<alt (- (exp (* 3 (* a eps))) 1)>
#<alt (- (exp (* 3 (* a eps))) 1)>
#<alt (- (exp (* 3 (* a eps))) 1)>
#<alt (- (exp (* 3 (* a eps))) 1)>
#<alt (- (exp (* 3 (* a eps))) 1)>
#<alt (- (exp (* 3 (* a eps))) 1)>
#<alt (* 3 (* a eps))>
#<alt (* 3 (* a eps))>
#<alt (* 3 (* a eps))>
#<alt (* 3 (* a eps))>
#<alt (* 3 (* a eps))>
#<alt (* 3 (* a eps))>
#<alt (* 3 (* a eps))>
#<alt (* 3 (* a eps))>
#<alt (* 3 (* a eps))>
#<alt (* 3 (* a eps))>
#<alt (* 3 (* a eps))>
#<alt (* 3 (* a eps))>
#<alt (* 3 (* a eps))>
#<alt (* 3 (* a eps))>
#<alt (* 3 (* a eps))>
#<alt (* 3 (* a eps))>
#<alt (* 3 (* a eps))>
#<alt (* 3 (* a eps))>
#<alt (* 3 (* a eps))>
#<alt (* 3 (* a eps))>
#<alt (* 3 (* a eps))>
#<alt (* 3 (* a eps))>
#<alt (* 3 (* a eps))>
#<alt (* 3 (* a eps))>
#<alt 1>
#<alt (+ 1 (/ (* a (* eps (exp (* b eps)))) (- (exp (* b eps)) 1)))>
#<alt (+ 1 (* a (+ (* 1/2 (/ (* a (* (pow eps 2) (exp (* b eps)))) (- (exp (* b eps)) 1))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)))))>
#<alt (+ 1 (* a (+ (* a (+ (* 1/6 (/ (* a (* (pow eps 3) (exp (* b eps)))) (- (exp (* b eps)) 1))) (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)))))>
#<alt (/ (- (exp (* eps (+ a b))) 1) (- (exp (* b eps)) 1))>
#<alt (/ (- (exp (* eps (+ a b))) 1) (- (exp (* b eps)) 1))>
#<alt (/ (- (exp (* eps (+ a b))) 1) (- (exp (* b eps)) 1))>
#<alt (/ (- (exp (* eps (+ a b))) 1) (- (exp (* b eps)) 1))>
#<alt (/ (- (exp (* eps (- b (* -1 a)))) 1) (- (exp (* b eps)) 1))>
#<alt (/ (- (exp (* eps (- b (* -1 a)))) 1) (- (exp (* b eps)) 1))>
#<alt (/ (- (exp (* eps (- b (* -1 a)))) 1) (- (exp (* b eps)) 1))>
#<alt (/ (- (exp (* eps (- b (* -1 a)))) 1) (- (exp (* b eps)) 1))>
#<alt (/ (- (exp (* a eps)) 1) (* b eps))>
#<alt (/ (- (+ (* b (- (exp (* a eps)) (* 1/2 (- (exp (* a eps)) 1)))) (/ (exp (* a eps)) eps)) (/ 1 eps)) b)>
#<alt (/ (- (+ (* b (- (+ (exp (* a eps)) (* b (- (* 1/2 (* eps (exp (* a eps)))) (+ (* 1/6 (* eps (- (exp (* a eps)) 1))) (* 1/2 (* eps (- (exp (* a eps)) (* 1/2 (- (exp (* a eps)) 1))))))))) (* 1/2 (- (exp (* a eps)) 1)))) (/ (exp (* a eps)) eps)) (/ 1 eps)) b)>
#<alt (/ (- (+ (* b (- (+ (exp (* a eps)) (* b (- (+ (* 1/2 (* eps (exp (* a eps)))) (* b (- (* 1/6 (* (pow eps 2) (exp (* a eps)))) (+ (* 1/24 (* (pow eps 2) (- (exp (* a eps)) 1))) (+ (* 1/6 (* (pow eps 2) (- (exp (* a eps)) (* 1/2 (- (exp (* a eps)) 1))))) (* 1/2 (* eps (- (* 1/2 (* eps (exp (* a eps)))) (+ (* 1/6 (* eps (- (exp (* a eps)) 1))) (* 1/2 (* eps (- (exp (* a eps)) (* 1/2 (- (exp (* a eps)) 1)))))))))))))) (+ (* 1/6 (* eps (- (exp (* a eps)) 1))) (* 1/2 (* eps (- (exp (* a eps)) (* 1/2 (- (exp (* a eps)) 1))))))))) (* 1/2 (- (exp (* a eps)) 1)))) (/ (exp (* a eps)) eps)) (/ 1 eps)) b)>
#<alt (/ (- (exp (* eps (+ a b))) 1) (- (exp (* b eps)) 1))>
#<alt (/ (- (exp (* eps (+ a b))) 1) (- (exp (* b eps)) 1))>
#<alt (/ (- (exp (* eps (+ a b))) 1) (- (exp (* b eps)) 1))>
#<alt (/ (- (exp (* eps (+ a b))) 1) (- (exp (* b eps)) 1))>
#<alt (/ (- (exp (* eps (- a (* -1 b)))) 1) (- (exp (* b eps)) 1))>
#<alt (/ (- (exp (* eps (- a (* -1 b)))) 1) (- (exp (* b eps)) 1))>
#<alt (/ (- (exp (* eps (- a (* -1 b)))) 1) (- (exp (* b eps)) 1))>
#<alt (/ (- (exp (* eps (- a (* -1 b)))) 1) (- (exp (* b eps)) 1))>
#<alt (/ (+ a b) b)>
#<alt (+ 1 (+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) b)) (* 1/2 (+ a b)))) (/ a b)))>
#<alt (+ 1 (+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) b)) (* eps (- (* 1/6 (/ (pow (+ a b) 3) b)) (+ (* 1/6 (* b (+ a b))) (* 1/2 (* b (- (* 1/2 (/ (pow (+ a b) 2) b)) (* 1/2 (+ a b))))))))) (* 1/2 (+ a b)))) (/ a b)))>
#<alt (+ 1 (+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) b)) (* eps (- (+ (* 1/6 (/ (pow (+ a b) 3) b)) (* eps (- (* 1/24 (/ (pow (+ a b) 4) b)) (+ (* 1/24 (* (pow b 2) (+ a b))) (+ (* 1/6 (* (pow b 2) (- (* 1/2 (/ (pow (+ a b) 2) b)) (* 1/2 (+ a b))))) (* 1/2 (* b (- (* 1/6 (/ (pow (+ a b) 3) b)) (+ (* 1/6 (* b (+ a b))) (* 1/2 (* b (- (* 1/2 (/ (pow (+ a b) 2) b)) (* 1/2 (+ a b)))))))))))))) (+ (* 1/6 (* b (+ a b))) (* 1/2 (* b (- (* 1/2 (/ (pow (+ a b) 2) b)) (* 1/2 (+ a b))))))))) (* 1/2 (+ a b)))) (/ a b)))>
#<alt (/ (- (exp (* eps (+ a b))) 1) (- (exp (* b eps)) 1))>
#<alt (/ (- (exp (* eps (+ a b))) 1) (- (exp (* b eps)) 1))>
#<alt (/ (- (exp (* eps (+ a b))) 1) (- (exp (* b eps)) 1))>
#<alt (/ (- (exp (* eps (+ a b))) 1) (- (exp (* b eps)) 1))>
#<alt (/ (- (exp (* eps (+ a b))) 1) (- (exp (* b eps)) 1))>
#<alt (/ (- (exp (* eps (+ a b))) 1) (- (exp (* b eps)) 1))>
#<alt (/ (- (exp (* eps (+ a b))) 1) (- (exp (* b eps)) 1))>
#<alt (/ (- (exp (* eps (+ a b))) 1) (- (exp (* b eps)) 1))>
#<alt 3>
#<alt (+ 3 (* a (+ eps (+ (* 2 eps) (* 3 (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)))))))>
#<alt (+ 3 (* a (+ eps (+ (* 2 eps) (+ (* 3 (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* a (+ (* 1/2 (pow eps 2)) (+ (* 3/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 2 (pow eps 2)) (/ (* eps (* (exp (* b eps)) (+ eps (* 2 eps)))) (- (exp (* b eps)) 1)))))))))))>
#<alt (+ 3 (* a (+ eps (+ (* 2 eps) (+ (* 3 (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* a (+ (* 1/2 (pow eps 2)) (+ (* 3/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 2 (pow eps 2)) (+ (* a (+ (* 1/6 (pow eps 3)) (+ (* 1/2 (/ (* (pow eps 2) (* (exp (* b eps)) (+ eps (* 2 eps)))) (- (exp (* b eps)) 1))) (+ (* 1/2 (/ (* (pow eps 3) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 4/3 (pow eps 3)) (/ (* eps (* (exp (* b eps)) (+ (* 1/2 (pow eps 2)) (* 2 (pow eps 2))))) (- (exp (* b eps)) 1))))))) (/ (* eps (* (exp (* b eps)) (+ eps (* 2 eps)))) (- (exp (* b eps)) 1))))))))))))>
#<alt (/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))>
#<alt (/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))>
#<alt (/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))>
#<alt (/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))>
#<alt (/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (- b (* -1 a)))) 1)) (- (exp (* b eps)) 1))>
#<alt (/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (- b (* -1 a)))) 1)) (- (exp (* b eps)) 1))>
#<alt (/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (- b (* -1 a)))) 1)) (- (exp (* b eps)) 1))>
#<alt (/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (- b (* -1 a)))) 1)) (- (exp (* b eps)) 1))>
#<alt (* 3 (/ (+ a b) b))>
#<alt (+ (* 3 (/ (+ a b) b)) (* eps (- (+ (* 3/2 (/ (pow (+ a b) 2) b)) (/ (* (+ a b) (+ a (* 2 a))) b)) (* 3/2 (+ a b)))))>
#<alt (+ (* 3 (/ (+ a b) b)) (* eps (- (+ (* 3/2 (/ (pow (+ a b) 2) b)) (+ (* eps (- (+ (* 1/2 (/ (* (pow (+ a b) 2) (+ a (* 2 a))) b)) (+ (* 1/2 (/ (pow (+ a b) 3) b)) (/ (* (+ a b) (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))) b))) (+ (* 1/2 (* b (+ a b))) (* 1/2 (* b (- (+ (* 3/2 (/ (pow (+ a b) 2) b)) (/ (* (+ a b) (+ a (* 2 a))) b)) (* 3/2 (+ a b)))))))) (/ (* (+ a b) (+ a (* 2 a))) b))) (* 3/2 (+ a b)))))>
#<alt (+ (* 3 (/ (+ a b) b)) (* eps (- (+ (* 3/2 (/ (pow (+ a b) 2) b)) (+ (* eps (- (+ (* 1/2 (/ (* (pow (+ a b) 2) (+ a (* 2 a))) b)) (+ (* 1/2 (/ (pow (+ a b) 3) b)) (+ (* eps (- (+ (* 1/8 (/ (pow (+ a b) 4) b)) (+ (* 1/6 (/ (* (pow (+ a b) 3) (+ a (* 2 a))) b)) (+ (* 1/2 (/ (* (pow (+ a b) 2) (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))) b)) (/ (* (+ a b) (+ (* 1/6 (pow a 3)) (* 4/3 (pow a 3)))) b)))) (+ (* 1/8 (* (pow b 2) (+ a b))) (+ (* 1/6 (* (pow b 2) (- (+ (* 3/2 (/ (pow (+ a b) 2) b)) (/ (* (+ a b) (+ a (* 2 a))) b)) (* 3/2 (+ a b))))) (* 1/2 (* b (- (+ (* 1/2 (/ (* (pow (+ a b) 2) (+ a (* 2 a))) b)) (+ (* 1/2 (/ (pow (+ a b) 3) b)) (/ (* (+ a b) (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))) b))) (+ (* 1/2 (* b (+ a b))) (* 1/2 (* b (- (+ (* 3/2 (/ (pow (+ a b) 2) b)) (/ (* (+ a b) (+ a (* 2 a))) b)) (* 3/2 (+ a b))))))))))))) (/ (* (+ a b) (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))) b)))) (+ (* 1/2 (* b (+ a b))) (* 1/2 (* b (- (+ (* 3/2 (/ (pow (+ a b) 2) b)) (/ (* (+ a b) (+ a (* 2 a))) b)) (* 3/2 (+ a b)))))))) (/ (* (+ a b) (+ a (* 2 a))) b))) (* 3/2 (+ a b)))))>
#<alt (/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))>
#<alt (/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))>
#<alt (/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))>
#<alt (/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))>
#<alt (/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))>
#<alt (/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))>
#<alt (/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))>
#<alt (/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))>
#<alt (/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1)) (* b eps))>
#<alt (/ (+ (* b (- (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps))))) (* 1/2 (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))))) (/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1)) eps)) b)>
#<alt (/ (+ (* b (- (+ (* b (- (* 1/2 (* eps (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps))))))) (+ (* 1/6 (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1)))) (* 1/2 (* eps (- (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps))))) (* 1/2 (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))))))))) (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))))) (* 1/2 (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))))) (/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1)) eps)) b)>
#<alt (/ (+ (* b (- (+ (* b (- (+ (* 1/2 (* eps (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps))))))) (* b (- (* 1/6 (* (pow eps 2) (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps))))))) (+ (* 1/24 (* (pow eps 2) (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1)))) (+ (* 1/6 (* (pow eps 2) (- (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps))))) (* 1/2 (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1)))))) (* 1/2 (* eps (- (* 1/2 (* eps (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps))))))) (+ (* 1/6 (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1)))) (* 1/2 (* eps (- (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps))))) (* 1/2 (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))))))))))))))) (+ (* 1/6 (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1)))) (* 1/2 (* eps (- (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps))))) (* 1/2 (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))))))))) (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))))) (* 1/2 (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))))) (/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1)) eps)) b)>
#<alt (/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))>
#<alt (/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))>
#<alt (/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))>
#<alt (/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))>
#<alt (/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (- a (* -1 b)))) 1)) (- (exp (* b eps)) 1))>
#<alt (/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (- a (* -1 b)))) 1)) (- (exp (* b eps)) 1))>
#<alt (/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (- a (* -1 b)))) 1)) (- (exp (* b eps)) 1))>
#<alt (/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (- a (* -1 b)))) 1)) (- (exp (* b eps)) 1))>

Calls

45 calls:

Time	Variable		Point	Expression
25.0ms	eps	@	inf	(/ eps (- (exp (* a (* eps 3))) 1))
15.0ms	a	@	-inf	(* (/ eps (- (exp (* a (* eps 3))) 1)) (* (+ 1 (+ (exp (* a eps)) (exp (* a (+ eps eps))))) (/ (- (exp (* (+ a b) eps)) 1) (- (exp (* b eps)) 1))))
4.0ms	a	@	0	(* (/ eps (- (exp (* a (* eps 3))) 1)) (* (+ 1 (+ (exp (* a eps)) (exp (* a (+ eps eps))))) (/ (- (exp (* (+ a b) eps)) 1) (- (exp (* b eps)) 1))))
4.0ms	eps	@	0	(* (/ eps (- (exp (* a (* eps 3))) 1)) (* (+ 1 (+ (exp (* a eps)) (exp (* a (+ eps eps))))) (/ (- (exp (* (+ a b) eps)) 1) (- (exp (* b eps)) 1))))
2.0ms	b	@	0	(* (/ eps (- (exp (* a (* eps 3))) 1)) (* (+ 1 (+ (exp (* a eps)) (exp (* a (+ eps eps))))) (/ (- (exp (* (+ a b) eps)) 1) (- (exp (* b eps)) 1))))

simplify444.0ms (1.6%)

Memory

-28.3MiB live, 628.4MiB allocated

Algorithm

1×	egg-herbie

Rules

10 154×	`lower-fma.f64`
10 154×	`lower-fma.f32`
6 620×	`lower-*.f64`
6 620×	`lower-*.f32`
4 690×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	627	6782
1	1975	6650
2	7487	6648
0	8029	5807

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

Inputs
(/ (+ a b) (* a b))
(+ (* eps (- (* 1/3 (/ (+ (* 3/2 (pow (+ a b) 2)) (* (+ a b) (+ a (* 2 a)))) (* a b))) (* 1/3 (/ (* (+ a b) (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))))) (+ (/ 1 a) (/ 1 b)))
(+ (* eps (- (+ (* 1/3 (/ (+ (* 3/2 (pow (+ a b) 2)) (* (+ a b) (+ a (* 2 a)))) (* a b))) (* eps (- (* 1/3 (/ (+ (* 1/2 (* (pow (+ a b) 2) (+ a (* 2 a)))) (+ (* 1/2 (pow (+ a b) 3)) (* (+ a b) (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))))) (* a b))) (+ (* 1/3 (/ (* (+ a b) (+ (* 1/2 (* a (pow b 3))) (+ (* 9/4 (* (pow a 2) (pow b 2))) (* 9/2 (* (pow a 3) b))))) (* (pow a 2) (pow b 2)))) (* 1/3 (/ (* (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b))) (- (* 1/3 (/ (+ (* 3/2 (pow (+ a b) 2)) (* (+ a b) (+ a (* 2 a)))) (* a b))) (* 1/3 (/ (* (+ a b) (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))))) (* a b))))))) (* 1/3 (/ (* (+ a b) (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))))) (+ (/ 1 a) (/ 1 b)))
(+ (* eps (- (+ (* 1/3 (/ (+ (* 3/2 (pow (+ a b) 2)) (* (+ a b) (+ a (* 2 a)))) (* a b))) (* eps (- (+ (* 1/3 (/ (+ (* 1/2 (* (pow (+ a b) 2) (+ a (* 2 a)))) (+ (* 1/2 (pow (+ a b) 3)) (* (+ a b) (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))))) (* a b))) (* eps (- (* 1/3 (/ (+ (* 1/8 (pow (+ a b) 4)) (+ (* 1/6 (* (pow (+ a b) 3) (+ a (* 2 a)))) (+ (* 1/2 (* (pow (+ a b) 2) (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (* (+ a b) (+ (* 1/6 (pow a 3)) (* 4/3 (pow a 3))))))) (* a b))) (+ (* 1/3 (/ (* (+ a b) (+ (* 1/8 (* a (pow b 4))) (+ (* 3/4 (* (pow a 2) (pow b 3))) (+ (* 9/4 (* (pow a 3) (pow b 2))) (* 27/8 (* (pow a 4) b)))))) (* (pow a 2) (pow b 2)))) (+ (* 1/3 (/ (* (+ (* 1/2 (* a (pow b 3))) (+ (* 9/4 (* (pow a 2) (pow b 2))) (* 9/2 (* (pow a 3) b)))) (- (* 1/3 (/ (+ (* 3/2 (pow (+ a b) 2)) (* (+ a b) (+ a (* 2 a)))) (* a b))) (* 1/3 (/ (* (+ a b) (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))))) (* a b))) (* 1/3 (/ (* (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b))) (- (* 1/3 (/ (+ (* 1/2 (* (pow (+ a b) 2) (+ a (* 2 a)))) (+ (* 1/2 (pow (+ a b) 3)) (* (+ a b) (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))))) (* a b))) (+ (* 1/3 (/ (* (+ a b) (+ (* 1/2 (* a (pow b 3))) (+ (* 9/4 (* (pow a 2) (pow b 2))) (* 9/2 (* (pow a 3) b))))) (* (pow a 2) (pow b 2)))) (* 1/3 (/ (* (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b))) (- (* 1/3 (/ (+ (* 3/2 (pow (+ a b) 2)) (* (+ a b) (+ a (* 2 a)))) (* a b))) (* 1/3 (/ (* (+ a b) (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))))) (* a b)))))) (* a b)))))))) (+ (* 1/3 (/ (* (+ a b) (+ (* 1/2 (* a (pow b 3))) (+ (* 9/4 (* (pow a 2) (pow b 2))) (* 9/2 (* (pow a 3) b))))) (* (pow a 2) (pow b 2)))) (* 1/3 (/ (* (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b))) (- (* 1/3 (/ (+ (* 3/2 (pow (+ a b) 2)) (* (+ a b) (+ a (* 2 a)))) (* a b))) (* 1/3 (/ (* (+ a b) (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))))) (* a b))))))) (* 1/3 (/ (* (+ a b) (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))))) (+ (/ 1 a) (/ 1 b)))
(/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))
(/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))
(/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))
(/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))
(/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))
(/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))
(/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))
(/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))
(/ 1 a)
(/ (+ 1 (* a (- (* 1/3 (/ (+ (* 3 (* eps (exp (* b eps)))) (* (+ eps (* 2 eps)) (- (exp (* b eps)) 1))) (- (exp (* b eps)) 1))) (* 3/2 eps)))) a)
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(/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))
(/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))
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(/ 1/3 a)
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(/ eps (- (exp (* 3 (* a eps))) 1))
(/ eps (- (exp (* 3 (* a eps))) 1))
(/ eps (- (exp (* 3 (* a eps))) 1))
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(/ eps (- (exp (* 3 (* a eps))) 1))
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(/ 1/3 a)
(/ (+ 1/3 (* -1/2 (* a eps))) a)
(/ (+ 1/3 (* a (- (* -1 (* a (+ (* -3/4 (pow eps 2)) (* 1/2 (pow eps 2))))) (* 1/2 eps)))) a)
(/ (+ 1/3 (* a (- (* a (- (* -1 (* a (+ (* -3/2 (* eps (+ (* -3/4 (pow eps 2)) (* 1/2 (pow eps 2))))) (+ (* -3/4 (pow eps 3)) (* 3/8 (pow eps 3)))))) (+ (* -3/4 (pow eps 2)) (* 1/2 (pow eps 2))))) (* 1/2 eps)))) a)
(/ eps (- (exp (* 3 (* a eps))) 1))
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(- (exp (* 3 (* a eps))) 1)
(- (exp (* 3 (* a eps))) 1)
(- (exp (* 3 (* a eps))) 1)
(- (exp (* 3 (* a eps))) 1)
(* 3 (* a eps))
(* eps (+ (* 3 a) (* 9/2 (* (pow a 2) eps))))
(* eps (+ (* 3 a) (* eps (+ (* 9/2 (* (pow a 3) eps)) (* 9/2 (pow a 2))))))
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(- (exp (* 3 (* a eps))) 1)
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(* 3 (* a eps))
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(* 3 (* a eps))
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(* 3 (* a eps))
(* 3 (* a eps))
1
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(/ (- (exp (* eps (+ a b))) 1) (- (exp (* b eps)) 1))
(/ (- (exp (* eps (+ a b))) 1) (- (exp (* b eps)) 1))
(/ (- (exp (* eps (+ a b))) 1) (- (exp (* b eps)) 1))
(/ (- (exp (* eps (+ a b))) 1) (- (exp (* b eps)) 1))
(/ (- (exp (* eps (- b (* -1 a)))) 1) (- (exp (* b eps)) 1))
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(/ (- (+ (* b (- (+ (exp (* a eps)) (* b (- (* 1/2 (* eps (exp (* a eps)))) (+ (* 1/6 (* eps (- (exp (* a eps)) 1))) (* 1/2 (* eps (- (exp (* a eps)) (* 1/2 (- (exp (* a eps)) 1))))))))) (* 1/2 (- (exp (* a eps)) 1)))) (/ (exp (* a eps)) eps)) (/ 1 eps)) b)
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(/ (+ a b) b)
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(/ (- (exp (* eps (+ a b))) 1) (- (exp (* b eps)) 1))
(/ (- (exp (* eps (+ a b))) 1) (- (exp (* b eps)) 1))
3
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(* 3 (/ (+ a b) b))
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(/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))
(/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1)) (* b eps))
(/ (+ (* b (- (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps))))) (* 1/2 (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))))) (/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1)) eps)) b)
(/ (+ (* b (- (+ (* b (- (* 1/2 (* eps (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps))))))) (+ (* 1/6 (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1)))) (* 1/2 (* eps (- (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps))))) (* 1/2 (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))))))))) (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))))) (* 1/2 (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))))) (/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1)) eps)) b)
(/ (+ (* b (- (+ (* b (- (+ (* 1/2 (* eps (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps))))))) (* b (- (* 1/6 (* (pow eps 2) (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps))))))) (+ (* 1/24 (* (pow eps 2) (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1)))) (+ (* 1/6 (* (pow eps 2) (- (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps))))) (* 1/2 (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1)))))) (* 1/2 (* eps (- (* 1/2 (* eps (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps))))))) (+ (* 1/6 (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1)))) (* 1/2 (* eps (- (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps))))) (* 1/2 (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))))))))))))))) (+ (* 1/6 (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1)))) (* 1/2 (* eps (- (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps))))) (* 1/2 (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))))))))) (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))))) (* 1/2 (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))))) (/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1)) eps)) b)
(/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))
(/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))
(/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))
(/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))
(/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (- a (* -1 b)))) 1)) (- (exp (* b eps)) 1))
(/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (- a (* -1 b)))) 1)) (- (exp (* b eps)) 1))
(/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (- a (* -1 b)))) 1)) (- (exp (* b eps)) 1))
(/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (- a (* -1 b)))) 1)) (- (exp (* b eps)) 1))

Outputs
(/ (+ a b) (* a b))
(/.f64 (+.f64 a b) (*.f64 a b))
(+ (* eps (- (* 1/3 (/ (+ (* 3/2 (pow (+ a b) 2)) (* (+ a b) (+ a (* 2 a)))) (* a b))) (* 1/3 (/ (* (+ a b) (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))))) (+ (/ 1 a) (/ 1 b)))
(fma.f64 (.f64 eps #s(literal 1/3 binary64)) (-.f64 (/.f64 (fma.f64 (+.f64 a b) (.f64 (+.f64 a b) #s(literal 3/2 binary64)) (.f64 a (.f64 (+.f64 a b) #s(literal 3 binary64)))) (.f64 a b)) (.f64 (fma.f64 a (.f64 (.f64 b b) #s(literal 3/2 binary64)) (.f64 #s(literal 9/2 binary64) (.f64 a (.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 (- (+ (* 1/3 (/ (+ (* 3/2 (pow (+ a b) 2)) (* (+ a b) (+ a (* 2 a)))) (* a b))) (* eps (- (* 1/3 (/ (+ (* 1/2 (* (pow (+ a b) 2) (+ a (* 2 a)))) (+ (* 1/2 (pow (+ a b) 3)) (* (+ a b) (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))))) (* a b))) (+ (* 1/3 (/ (* (+ a b) (+ (* 1/2 (* a (pow b 3))) (+ (* 9/4 (* (pow a 2) (pow b 2))) (* 9/2 (* (pow a 3) b))))) (* (pow a 2) (pow b 2)))) (* 1/3 (/ (* (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b))) (- (* 1/3 (/ (+ (* 3/2 (pow (+ a b) 2)) (* (+ a b) (+ a (* 2 a)))) (* a b))) (* 1/3 (/ (* (+ a b) (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))))) (* a b))))))) (* 1/3 (/ (* (+ a b) (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))))) (+ (/ 1 a) (/ 1 b)))
(fma.f64 eps (fma.f64 eps (.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 a (.f64 #s(literal 3 binary64) (.f64 (+.f64 a b) (+.f64 a b))) (.f64 (+.f64 a b) (.f64 (+.f64 a b) (+.f64 a b)))) (.f64 (+.f64 a b) (.f64 (.f64 a a) #s(literal 5/2 binary64)))) (.f64 a b)) (fma.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (fma.f64 (+.f64 a b) (.f64 (+.f64 a b) #s(literal 3/2 binary64)) (.f64 a (.f64 (+.f64 a b) #s(literal 3 binary64)))) (.f64 a b)) (.f64 (fma.f64 a (.f64 (.f64 b b) #s(literal 3/2 binary64)) (.f64 #s(literal 9/2 binary64) (.f64 a (.f64 a b)))) (/.f64 (+.f64 a b) (.f64 a (.f64 a (.f64 b b))))))) (/.f64 (fma.f64 a (.f64 (.f64 b b) #s(literal 3/2 binary64)) (.f64 #s(literal 9/2 binary64) (.f64 a (.f64 a b)))) (.f64 a b)) (.f64 (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 b (.f64 b b))) (fma.f64 b (.f64 #s(literal 9/2 binary64) (.f64 a (.f64 a a))) (.f64 (.f64 a (.f64 a (.f64 b b))) #s(literal 9/4 binary64)))) (/.f64 (+.f64 a b) (.f64 a (.f64 a (.f64 b b)))))))) (.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (fma.f64 (+.f64 a b) (.f64 (+.f64 a b) #s(literal 3/2 binary64)) (.f64 a (.f64 (+.f64 a b) #s(literal 3 binary64)))) (.f64 a b)) (.f64 (fma.f64 a (.f64 (.f64 b b) #s(literal 3/2 binary64)) (.f64 #s(literal 9/2 binary64) (.f64 a (.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 (- (+ (* 1/3 (/ (+ (* 3/2 (pow (+ a b) 2)) (* (+ a b) (+ a (* 2 a)))) (* a b))) (* eps (- (+ (* 1/3 (/ (+ (* 1/2 (* (pow (+ a b) 2) (+ a (* 2 a)))) (+ (* 1/2 (pow (+ a b) 3)) (* (+ a b) (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))))) (* a b))) (* eps (- (* 1/3 (/ (+ (* 1/8 (pow (+ a b) 4)) (+ (* 1/6 (* (pow (+ a b) 3) (+ a (* 2 a)))) (+ (* 1/2 (* (pow (+ a b) 2) (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (* (+ a b) (+ (* 1/6 (pow a 3)) (* 4/3 (pow a 3))))))) (* a b))) (+ (* 1/3 (/ (* (+ a b) (+ (* 1/8 (* a (pow b 4))) (+ (* 3/4 (* (pow a 2) (pow b 3))) (+ (* 9/4 (* (pow a 3) (pow b 2))) (* 27/8 (* (pow a 4) b)))))) (* (pow a 2) (pow b 2)))) (+ (* 1/3 (/ (* (+ (* 1/2 (* a (pow b 3))) (+ (* 9/4 (* (pow a 2) (pow b 2))) (* 9/2 (* (pow a 3) b)))) (- (* 1/3 (/ (+ (* 3/2 (pow (+ a b) 2)) (* (+ a b) (+ a (* 2 a)))) (* a b))) (* 1/3 (/ (* (+ a b) (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))))) (* a b))) (* 1/3 (/ (* (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b))) (- (* 1/3 (/ (+ (* 1/2 (* (pow (+ a b) 2) (+ a (* 2 a)))) (+ (* 1/2 (pow (+ a b) 3)) (* (+ a b) (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))))) (* a b))) (+ (* 1/3 (/ (* (+ a b) (+ (* 1/2 (* a (pow b 3))) (+ (* 9/4 (* (pow a 2) (pow b 2))) (* 9/2 (* (pow a 3) b))))) (* (pow a 2) (pow b 2)))) (* 1/3 (/ (* (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b))) (- (* 1/3 (/ (+ (* 3/2 (pow (+ a b) 2)) (* (+ a b) (+ a (* 2 a)))) (* a b))) (* 1/3 (/ (* (+ a b) (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))))) (* a b)))))) (* a b)))))))) (+ (* 1/3 (/ (* (+ a b) (+ (* 1/2 (* a (pow b 3))) (+ (* 9/4 (* (pow a 2) (pow b 2))) (* 9/2 (* (pow a 3) b))))) (* (pow a 2) (pow b 2)))) (* 1/3 (/ (* (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b))) (- (* 1/3 (/ (+ (* 3/2 (pow (+ a b) 2)) (* (+ a b) (+ a (* 2 a)))) (* a b))) (* 1/3 (/ (* (+ a b) (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))))) (* a b))))))) (* 1/3 (/ (* (+ a b) (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))))) (+ (/ 1 a) (/ 1 b)))
(fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 a b) #s(literal 4 binary64)) (fma.f64 (+.f64 a b) (.f64 a (.f64 (.f64 a a) #s(literal 3/2 binary64))) (fma.f64 (.f64 (+.f64 a b) (+.f64 a b)) (.f64 (.f64 (.f64 a a) #s(literal 5/2 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 (+.f64 a b) (.f64 (+.f64 a b) (+.f64 a b))) (.f64 (.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64)))))) (.f64 a b)) (.f64 (fma.f64 a (.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1/8 binary64)) (fma.f64 b (.f64 #s(literal 27/8 binary64) (pow.f64 a #s(literal 4 binary64))) (fma.f64 (.f64 b b) (.f64 #s(literal 9/4 binary64) (.f64 a (.f64 a a))) (.f64 (.f64 b (.f64 b b)) (.f64 (.f64 a a) #s(literal 3/4 binary64)))))) (/.f64 (+.f64 a b) (.f64 a (.f64 a (.f64 b b)))))) (.f64 #s(literal -1/3 binary64) (fma.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 a (.f64 #s(literal 3 binary64) (.f64 (+.f64 a b) (+.f64 a b))) (.f64 (+.f64 a b) (.f64 (+.f64 a b) (+.f64 a b)))) (.f64 (+.f64 a b) (.f64 (.f64 a a) #s(literal 5/2 binary64)))) (.f64 a b)) (fma.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (fma.f64 (+.f64 a b) (.f64 (+.f64 a b) #s(literal 3/2 binary64)) (.f64 a (.f64 (+.f64 a b) #s(literal 3 binary64)))) (.f64 a b)) (.f64 (fma.f64 a (.f64 (.f64 b b) #s(literal 3/2 binary64)) (.f64 #s(literal 9/2 binary64) (.f64 a (.f64 a b)))) (/.f64 (+.f64 a b) (.f64 a (.f64 a (.f64 b b))))))) (/.f64 (fma.f64 a (.f64 (.f64 b b) #s(literal 3/2 binary64)) (.f64 #s(literal 9/2 binary64) (.f64 a (.f64 a b)))) (.f64 a b)) (.f64 (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 b (.f64 b b))) (fma.f64 b (.f64 #s(literal 9/2 binary64) (.f64 a (.f64 a a))) (.f64 (.f64 a (.f64 a (.f64 b b))) #s(literal 9/4 binary64)))) (/.f64 (+.f64 a b) (.f64 a (.f64 a (.f64 b b)))))))) (/.f64 (fma.f64 a (.f64 (.f64 b b) #s(literal 3/2 binary64)) (.f64 #s(literal 9/2 binary64) (.f64 a (.f64 a b)))) (.f64 a b)) (.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (fma.f64 (+.f64 a b) (.f64 (+.f64 a b) #s(literal 3/2 binary64)) (.f64 a (.f64 (+.f64 a b) #s(literal 3 binary64)))) (.f64 a b)) (.f64 (fma.f64 a (.f64 (.f64 b b) #s(literal 3/2 binary64)) (.f64 #s(literal 9/2 binary64) (.f64 a (.f64 a b)))) (/.f64 (+.f64 a b) (.f64 a (.f64 a (.f64 b b))))))) (/.f64 (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 b (.f64 b b))) (fma.f64 b (.f64 #s(literal 9/2 binary64) (.f64 a (.f64 a a))) (.f64 (.f64 a (.f64 a (.f64 b b))) #s(literal 9/4 binary64)))) (.f64 a b)))))) (.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 a (.f64 #s(literal 3 binary64) (.f64 (+.f64 a b) (+.f64 a b))) (.f64 (+.f64 a b) (.f64 (+.f64 a b) (+.f64 a b)))) (.f64 (+.f64 a b) (.f64 (.f64 a a) #s(literal 5/2 binary64)))) (.f64 a b)) (fma.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (fma.f64 (+.f64 a b) (.f64 (+.f64 a b) #s(literal 3/2 binary64)) (.f64 a (.f64 (+.f64 a b) #s(literal 3 binary64)))) (.f64 a b)) (.f64 (fma.f64 a (.f64 (.f64 b b) #s(literal 3/2 binary64)) (.f64 #s(literal 9/2 binary64) (.f64 a (.f64 a b)))) (/.f64 (+.f64 a b) (.f64 a (.f64 a (.f64 b b))))))) (/.f64 (fma.f64 a (.f64 (.f64 b b) #s(literal 3/2 binary64)) (.f64 #s(literal 9/2 binary64) (.f64 a (.f64 a b)))) (.f64 a b)) (.f64 (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 b (.f64 b b))) (fma.f64 b (.f64 #s(literal 9/2 binary64) (.f64 a (.f64 a a))) (.f64 (.f64 a (.f64 a (.f64 b b))) #s(literal 9/4 binary64)))) (/.f64 (+.f64 a b) (.f64 a (.f64 a (.f64 b b))))))))) (.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (fma.f64 (+.f64 a b) (.f64 (+.f64 a b) #s(literal 3/2 binary64)) (.f64 a (.f64 (+.f64 a b) #s(literal 3 binary64)))) (.f64 a b)) (.f64 (fma.f64 a (.f64 (.f64 b b) #s(literal 3/2 binary64)) (.f64 #s(literal 9/2 binary64) (.f64 a (.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 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (.f64 eps #s(literal 2 binary64)))) (exp.f64 (.f64 a eps)))) (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps)) (.f64 (expm1.f64 (.f64 a (.f64 eps #s(literal 3 binary64)))) (expm1.f64 (.f64 b eps))))
(/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (.f64 eps #s(literal 2 binary64)))) (exp.f64 (.f64 a eps)))) (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps)) (.f64 (expm1.f64 (.f64 a (.f64 eps #s(literal 3 binary64)))) (expm1.f64 (.f64 b eps))))
(/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (.f64 eps #s(literal 2 binary64)))) (exp.f64 (.f64 a eps)))) (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps)) (.f64 (expm1.f64 (.f64 a (.f64 eps #s(literal 3 binary64)))) (expm1.f64 (.f64 b eps))))
(/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (.f64 eps #s(literal 2 binary64)))) (exp.f64 (.f64 a eps)))) (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps)) (.f64 (expm1.f64 (.f64 a (.f64 eps #s(literal 3 binary64)))) (expm1.f64 (.f64 b eps))))
(/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (.f64 eps #s(literal 2 binary64)))) (exp.f64 (.f64 a eps)))) (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps)) (.f64 (expm1.f64 (.f64 a (.f64 eps #s(literal 3 binary64)))) (expm1.f64 (.f64 b eps))))
(/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (.f64 eps #s(literal 2 binary64)))) (exp.f64 (.f64 a eps)))) (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps)) (.f64 (expm1.f64 (.f64 a (.f64 eps #s(literal 3 binary64)))) (expm1.f64 (.f64 b eps))))
(/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (.f64 eps #s(literal 2 binary64)))) (exp.f64 (.f64 a eps)))) (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps)) (.f64 (expm1.f64 (.f64 a (.f64 eps #s(literal 3 binary64)))) (expm1.f64 (.f64 b eps))))
(/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (.f64 eps #s(literal 2 binary64)))) (exp.f64 (.f64 a eps)))) (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps)) (.f64 (expm1.f64 (.f64 a (.f64 eps #s(literal 3 binary64)))) (expm1.f64 (.f64 b eps))))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ (+ 1 (* a (- (* 1/3 (/ (+ (* 3 (* eps (exp (* b eps)))) (* (+ eps (* 2 eps)) (- (exp (* b eps)) 1))) (- (exp (* b eps)) 1))) (* 3/2 eps)))) a)
(/.f64 (fma.f64 a (fma.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (.f64 eps #s(literal 3 binary64)) (+.f64 (expm1.f64 (.f64 b eps)) (exp.f64 (.f64 b eps)))) (expm1.f64 (.f64 b eps))) (.f64 eps #s(literal -3/2 binary64))) #s(literal 1 binary64)) a)
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1
#s(literal 1 binary64)
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3
#s(literal 3 binary64)
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(+ (* 3 (/ (+ a b) b)) (* eps (- (+ (* 3/2 (/ (pow (+ a b) 2) b)) (+ (* eps (- (+ (* 1/2 (/ (* (pow (+ a b) 2) (+ a (* 2 a))) b)) (+ (* 1/2 (/ (pow (+ a b) 3) b)) (/ (* (+ a b) (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))) b))) (+ (* 1/2 (* b (+ a b))) (* 1/2 (* b (- (+ (* 3/2 (/ (pow (+ a b) 2) b)) (/ (* (+ a b) (+ a (* 2 a))) b)) (* 3/2 (+ a b)))))))) (/ (* (+ a b) (+ a (* 2 a))) b))) (* 3/2 (+ a b)))))
(fma.f64 eps (fma.f64 #s(literal 3/2 binary64) (/.f64 (.f64 (+.f64 a b) (+.f64 a b)) b) (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (.f64 b (+.f64 (+.f64 a b) (fma.f64 (+.f64 a b) (fma.f64 #s(literal 3 binary64) (/.f64 a b) #s(literal -3/2 binary64)) (.f64 #s(literal 3/2 binary64) (/.f64 (.f64 (+.f64 a b) (+.f64 a b)) b))))) (fma.f64 (+.f64 a b) (/.f64 (.f64 (.f64 a a) #s(literal 5/2 binary64)) b) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 a b) (/.f64 (.f64 a (.f64 (+.f64 a b) #s(literal 3 binary64))) b) (/.f64 (.f64 (+.f64 a b) (.f64 (+.f64 a b) (+.f64 a b))) b))))) (.f64 (+.f64 a b) (fma.f64 #s(literal 3 binary64) (/.f64 a b) #s(literal -3/2 binary64))))) (*.f64 #s(literal 3 binary64) (/.f64 (+.f64 a b) b)))
(+ (* 3 (/ (+ a b) b)) (* eps (- (+ (* 3/2 (/ (pow (+ a b) 2) b)) (+ (* eps (- (+ (* 1/2 (/ (* (pow (+ a b) 2) (+ a (* 2 a))) b)) (+ (* 1/2 (/ (pow (+ a b) 3) b)) (+ (* eps (- (+ (* 1/8 (/ (pow (+ a b) 4) b)) (+ (* 1/6 (/ (* (pow (+ a b) 3) (+ a (* 2 a))) b)) (+ (* 1/2 (/ (* (pow (+ a b) 2) (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))) b)) (/ (* (+ a b) (+ (* 1/6 (pow a 3)) (* 4/3 (pow a 3)))) b)))) (+ (* 1/8 (* (pow b 2) (+ a b))) (+ (* 1/6 (* (pow b 2) (- (+ (* 3/2 (/ (pow (+ a b) 2) b)) (/ (* (+ a b) (+ a (* 2 a))) b)) (* 3/2 (+ a b))))) (* 1/2 (* b (- (+ (* 1/2 (/ (* (pow (+ a b) 2) (+ a (* 2 a))) b)) (+ (* 1/2 (/ (pow (+ a b) 3) b)) (/ (* (+ a b) (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))) b))) (+ (* 1/2 (* b (+ a b))) (* 1/2 (* b (- (+ (* 3/2 (/ (pow (+ a b) 2) b)) (/ (* (+ a b) (+ a (* 2 a))) b)) (* 3/2 (+ a b))))))))))))) (/ (* (+ a b) (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))) b)))) (+ (* 1/2 (* b (+ a b))) (* 1/2 (* b (- (+ (* 3/2 (/ (pow (+ a b) 2) b)) (/ (* (+ a b) (+ a (* 2 a))) b)) (* 3/2 (+ a b)))))))) (/ (* (+ a b) (+ a (* 2 a))) b))) (* 3/2 (+ a b)))))
(fma.f64 eps (fma.f64 #s(literal 3/2 binary64) (/.f64 (.f64 (+.f64 a b) (+.f64 a b)) b) (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (.f64 b (+.f64 (+.f64 a b) (fma.f64 (+.f64 a b) (fma.f64 #s(literal 3 binary64) (/.f64 a b) #s(literal -3/2 binary64)) (.f64 #s(literal 3/2 binary64) (/.f64 (.f64 (+.f64 a b) (+.f64 a b)) b))))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 a b) (/.f64 (.f64 a (.f64 (+.f64 a b) #s(literal 3 binary64))) b) (/.f64 (.f64 (+.f64 a b) (.f64 (+.f64 a b) (+.f64 a b))) b)) (fma.f64 eps (-.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 4 binary64)) b) (fma.f64 (.f64 (+.f64 a b) (.f64 (+.f64 a b) (+.f64 a b))) (.f64 (.f64 #s(literal 3 binary64) (/.f64 a b)) #s(literal 1/6 binary64)) (fma.f64 (+.f64 a b) (.f64 (.f64 a (.f64 a a)) (/.f64 #s(literal 3/2 binary64) b)) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (.f64 (/.f64 (.f64 (.f64 a a) #s(literal 5/2 binary64)) b) #s(literal 1/2 binary64)))))) (fma.f64 b (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 b (+.f64 (+.f64 a b) (fma.f64 (+.f64 a b) (fma.f64 #s(literal 3 binary64) (/.f64 a b) #s(literal -3/2 binary64)) (.f64 #s(literal 3/2 binary64) (/.f64 (.f64 (+.f64 a b) (+.f64 a b)) b))))) (fma.f64 (+.f64 a b) (/.f64 (.f64 (.f64 a a) #s(literal 5/2 binary64)) b) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 a b) (/.f64 (.f64 a (.f64 (+.f64 a b) #s(literal 3 binary64))) b) (/.f64 (.f64 (+.f64 a b) (.f64 (+.f64 a b) (+.f64 a b))) b))))) #s(literal 1/2 binary64)) (fma.f64 (+.f64 a b) (.f64 (.f64 b b) #s(literal 1/8 binary64)) (.f64 (fma.f64 (+.f64 a b) (fma.f64 #s(literal 3 binary64) (/.f64 a b) #s(literal -3/2 binary64)) (.f64 #s(literal 3/2 binary64) (/.f64 (.f64 (+.f64 a b) (+.f64 a b)) b))) (.f64 (.f64 b b) #s(literal 1/6 binary64)))))) (.f64 (+.f64 a b) (/.f64 (.f64 (.f64 a a) #s(literal 5/2 binary64)) b))))) (.f64 (+.f64 a b) (fma.f64 #s(literal 3 binary64) (/.f64 a b) #s(literal -3/2 binary64))))) (*.f64 #s(literal 3 binary64) (/.f64 (+.f64 a b) b)))
(/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))
(.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (.f64 eps #s(literal 2 binary64)))) (exp.f64 (.f64 a eps)))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))
(/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))
(.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (.f64 eps #s(literal 2 binary64)))) (exp.f64 (.f64 a eps)))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))
(/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))
(.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (.f64 eps #s(literal 2 binary64)))) (exp.f64 (.f64 a eps)))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))
(/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))
(.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (.f64 eps #s(literal 2 binary64)))) (exp.f64 (.f64 a eps)))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))
(/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))
(.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (.f64 eps #s(literal 2 binary64)))) (exp.f64 (.f64 a eps)))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))
(/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))
(.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (.f64 eps #s(literal 2 binary64)))) (exp.f64 (.f64 a eps)))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))
(/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))
(.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (.f64 eps #s(literal 2 binary64)))) (exp.f64 (.f64 a eps)))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))
(/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))
(.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (.f64 eps #s(literal 2 binary64)))) (exp.f64 (.f64 a eps)))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))
(/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1)) (* b eps))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (.f64 eps #s(literal 2 binary64)))) (exp.f64 (.f64 a eps)))) (expm1.f64 (.f64 a eps))) (.f64 b eps))
(/ (+ (* b (- (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps))))) (* 1/2 (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))))) (/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1)) eps)) b)
(/.f64 (fma.f64 b (fma.f64 (.f64 (expm1.f64 (.f64 a eps)) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (.f64 eps #s(literal 2 binary64)))) (exp.f64 (.f64 a eps)))) (+.f64 (exp.f64 (.f64 a eps)) (+.f64 (exp.f64 (.f64 a (.f64 eps #s(literal 2 binary64)))) (exp.f64 (.f64 a (.f64 eps #s(literal 3 binary64))))))) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (.f64 eps #s(literal 2 binary64)))) (exp.f64 (.f64 a eps)))) (/.f64 (expm1.f64 (*.f64 a eps)) eps))) b)
(/ (+ (* b (- (+ (* b (- (* 1/2 (* eps (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps))))))) (+ (* 1/6 (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1)))) (* 1/2 (* eps (- (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps))))) (* 1/2 (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))))))))) (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))))) (* 1/2 (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))))) (/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1)) eps)) b)
(/.f64 (fma.f64 b (fma.f64 b (-.f64 (.f64 (.f64 eps (exp.f64 (.f64 a eps))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 a (.f64 eps #s(literal 2 binary64)))) (exp.f64 (.f64 a eps))) #s(literal 1/2 binary64))) (fma.f64 eps (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 (expm1.f64 (.f64 a eps)) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (.f64 eps #s(literal 2 binary64)))) (exp.f64 (.f64 a eps)))) (+.f64 (exp.f64 (.f64 a eps)) (+.f64 (exp.f64 (.f64 a (.f64 eps #s(literal 2 binary64)))) (exp.f64 (.f64 a (.f64 eps #s(literal 3 binary64)))))))) (.f64 #s(literal 1/6 binary64) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (.f64 eps #s(literal 2 binary64)))) (exp.f64 (.f64 a eps)))) (.f64 eps (expm1.f64 (.f64 a eps))))))) (fma.f64 (.f64 (expm1.f64 (.f64 a eps)) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (.f64 eps #s(literal 2 binary64)))) (exp.f64 (.f64 a eps)))) (+.f64 (exp.f64 (.f64 a eps)) (+.f64 (exp.f64 (.f64 a (.f64 eps #s(literal 2 binary64)))) (exp.f64 (.f64 a (.f64 eps #s(literal 3 binary64)))))))) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (.f64 eps #s(literal 2 binary64)))) (exp.f64 (.f64 a eps)))) (/.f64 (expm1.f64 (*.f64 a eps)) eps))) b)
(/ (+ (* b (- (+ (* b (- (+ (* 1/2 (* eps (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps))))))) (* b (- (* 1/6 (* (pow eps 2) (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps))))))) (+ (* 1/24 (* (pow eps 2) (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1)))) (+ (* 1/6 (* (pow eps 2) (- (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps))))) (* 1/2 (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1)))))) (* 1/2 (* eps (- (* 1/2 (* eps (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps))))))) (+ (* 1/6 (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1)))) (* 1/2 (* eps (- (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps))))) (* 1/2 (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))))))))))))))) (+ (* 1/6 (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1)))) (* 1/2 (* eps (- (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps))))) (* 1/2 (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))))))))) (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))))) (* 1/2 (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))))) (/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1)) eps)) b)
(/.f64 (fma.f64 b (fma.f64 b (+.f64 (fma.f64 b (-.f64 (.f64 (+.f64 (exp.f64 (.f64 a eps)) (+.f64 (exp.f64 (.f64 a (.f64 eps #s(literal 2 binary64)))) (exp.f64 (.f64 a (.f64 eps #s(literal 3 binary64)))))) (.f64 #s(literal 1/6 binary64) (.f64 eps eps))) (fma.f64 (.f64 eps #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 eps (exp.f64 (.f64 a eps))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 a (.f64 eps #s(literal 2 binary64)))) (exp.f64 (.f64 a eps))) #s(literal 1/2 binary64))) (fma.f64 eps (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 (expm1.f64 (.f64 a eps)) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (.f64 eps #s(literal 2 binary64)))) (exp.f64 (.f64 a eps)))) (+.f64 (exp.f64 (.f64 a eps)) (+.f64 (exp.f64 (.f64 a (.f64 eps #s(literal 2 binary64)))) (exp.f64 (.f64 a (.f64 eps #s(literal 3 binary64)))))))) (.f64 #s(literal 1/6 binary64) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (.f64 eps #s(literal 2 binary64)))) (exp.f64 (.f64 a eps)))) (.f64 eps (expm1.f64 (.f64 a eps))))))) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (.f64 eps #s(literal 2 binary64)))) (exp.f64 (.f64 a eps)))) (expm1.f64 (.f64 a eps))) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 (fma.f64 (.f64 (expm1.f64 (.f64 a eps)) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (.f64 eps #s(literal 2 binary64)))) (exp.f64 (.f64 a eps)))) (+.f64 (exp.f64 (.f64 a eps)) (+.f64 (exp.f64 (.f64 a (.f64 eps #s(literal 2 binary64)))) (exp.f64 (.f64 a (.f64 eps #s(literal 3 binary64))))))) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)))))) (fma.f64 (.f64 eps (exp.f64 (.f64 a eps))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 a (.f64 eps #s(literal 2 binary64)))) (exp.f64 (.f64 a eps))) #s(literal 1/2 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (.f64 eps #s(literal 2 binary64)))) (exp.f64 (.f64 a eps)))) (.f64 eps (expm1.f64 (.f64 a eps))))))) (.f64 #s(literal -1/2 binary64) (.f64 eps (fma.f64 (.f64 (expm1.f64 (.f64 a eps)) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (.f64 eps #s(literal 2 binary64)))) (exp.f64 (.f64 a eps)))) (+.f64 (exp.f64 (.f64 a eps)) (+.f64 (exp.f64 (.f64 a (.f64 eps #s(literal 2 binary64)))) (exp.f64 (.f64 a (.f64 eps #s(literal 3 binary64)))))))))) (fma.f64 (.f64 (expm1.f64 (.f64 a eps)) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (.f64 eps #s(literal 2 binary64)))) (exp.f64 (.f64 a eps)))) (+.f64 (exp.f64 (.f64 a eps)) (+.f64 (exp.f64 (.f64 a (.f64 eps #s(literal 2 binary64)))) (exp.f64 (.f64 a (.f64 eps #s(literal 3 binary64)))))))) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (.f64 eps #s(literal 2 binary64)))) (exp.f64 (.f64 a eps)))) (/.f64 (expm1.f64 (.f64 a eps)) eps))) b)
(/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))
(.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (.f64 eps #s(literal 2 binary64)))) (exp.f64 (.f64 a eps)))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))
(/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))
(.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (.f64 eps #s(literal 2 binary64)))) (exp.f64 (.f64 a eps)))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))
(/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))
(.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (.f64 eps #s(literal 2 binary64)))) (exp.f64 (.f64 a eps)))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))
(/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))
(.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (.f64 eps #s(literal 2 binary64)))) (exp.f64 (.f64 a eps)))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))
(/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (- a (* -1 b)))) 1)) (- (exp (* b eps)) 1))
(.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (.f64 eps #s(literal 2 binary64)))) (exp.f64 (.f64 a eps)))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))
(/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (- a (* -1 b)))) 1)) (- (exp (* b eps)) 1))
(.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (.f64 eps #s(literal 2 binary64)))) (exp.f64 (.f64 a eps)))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))
(/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (- a (* -1 b)))) 1)) (- (exp (* b eps)) 1))
(.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (.f64 eps #s(literal 2 binary64)))) (exp.f64 (.f64 a eps)))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))
(/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (- a (* -1 b)))) 1)) (- (exp (* b eps)) 1))
(.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (.f64 eps #s(literal 2 binary64)))) (exp.f64 (.f64 a eps)))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))

rewrite406.0ms (1.5%)

Memory

7.3MiB live, 794.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 364×	`lower-fma.f64`
10 364×	`lower-fma.f32`
2 586×	`lower-/.f32`
2 582×	`lower-/.f64`
2 204×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	89
0	46	101
1	175	101
2	1414	33
0	10595	33

Stop Event

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

Counts

6 → 1 804

Calls

Call 1

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

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

eval290.0ms (1%)

Memory: 53.9MiB live, 578.0MiB allocated
Compiler: Compiled 89 253 to 4 520 computations (94.9% saved)

prune326.0ms (1.2%)

Memory

-26.2MiB live, 545.5MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	1 982	2	1 984
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	1 983	7	1 990

Accuracy

98.1%

Counts

1 990 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	42.8%	(.f64 (/.f64 eps (expm1.f64 (.f64 a (.f64 eps #s(literal 3 binary64))))) #s(approx ( (+ 1 (+ (exp (* a eps)) (exp (* a (+ eps eps))))) (/ (- (exp (* (+ a b) eps)) 1) (- (exp (* b eps)) 1))) (*.f64 #s(literal 3 binary64) (/.f64 (+.f64 a b) b))))
✓	14.5%	#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))))
✓	40.3%	#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))
✓	60.3%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
✓	51.7%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
✓	46.2%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
▶	42.7%	#s(approx (* (/ eps (- (exp (* a (* eps 3))) 1)) (* (+ 1 (+ (exp (* a eps)) (exp (* a (+ eps eps))))) (/ (- (exp (* (+ a b) eps)) 1) (- (exp (* b eps)) 1)))) (/.f64 (fma.f64 a (fma.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (.f64 eps #s(literal 3 binary64)) (+.f64 (expm1.f64 (.f64 b eps)) (exp.f64 (.f64 b eps)))) (expm1.f64 (.f64 b eps))) (.f64 eps #s(literal -3/2 binary64))) #s(literal 1 binary64)) a))

Compiler

Compiled 142 to 81 computations (43% saved)

simplify382.0ms (1.4%)

Memory

-10.9MiB live, 466.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 a (.f64 eps #s(literal 3 binary64)))
✓	cost-diff	0	(expm1.f64 (.f64 a (.f64 eps #s(literal 3 binary64))))
✓	cost-diff	0	(/.f64 eps (expm1.f64 (.f64 a (.f64 eps #s(literal 3 binary64)))))
✓	cost-diff	0	(.f64 (/.f64 eps (expm1.f64 (.f64 a (.f64 eps #s(literal 3 binary64))))) #s(approx ( (+ 1 (+ (exp (* a eps)) (exp (* a (+ eps eps))))) (/ (- (exp (* (+ a b) eps)) 1) (- (exp (* b eps)) 1))) (*.f64 #s(literal 3 binary64) (/.f64 (+.f64 a b) b))))
✓	cost-diff	0	(/.f64 (fma.f64 a (fma.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (.f64 eps #s(literal 3 binary64)) (+.f64 (expm1.f64 (.f64 b eps)) (exp.f64 (.f64 b eps)))) (expm1.f64 (.f64 b eps))) (.f64 eps #s(literal -3/2 binary64))) #s(literal 1 binary64)) a)
✓	cost-diff	320	(.f64 (.f64 eps #s(literal 3 binary64)) (+.f64 (expm1.f64 (.f64 b eps)) (exp.f64 (.f64 b eps))))
✓	cost-diff	896	(fma.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (.f64 eps #s(literal 3 binary64)) (+.f64 (expm1.f64 (.f64 b eps)) (exp.f64 (.f64 b eps)))) (expm1.f64 (.f64 b eps))) (.f64 eps #s(literal -3/2 binary64)))
✓	cost-diff	6528	(+.f64 (expm1.f64 (.f64 b eps)) (exp.f64 (.f64 b eps)))

Rules

14 772×	`lower-fma.f32`
14 768×	`lower-fma.f64`
4 952×	`lower-+.f32`
4 948×	`lower-+.f64`
3 800×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	281
0	70	281
1	142	281
2	359	272
3	1242	256
4	4715	244
0	8123	230

Stop Event

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

Calls

Call 1

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

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

localize138.0ms (0.5%)

Memory

29.0MiB live, 220.0MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 a (.f64 eps #s(literal 3 binary64)))
✓	accuracy	99.7%	(*.f64 #s(literal 3 binary64) (/.f64 (+.f64 a b) b))
✓	accuracy	99.6%	(.f64 (/.f64 eps (expm1.f64 (.f64 a (.f64 eps #s(literal 3 binary64))))) #s(approx ( (+ 1 (+ (exp (* a eps)) (exp (* a (+ eps eps))))) (/ (- (exp (* (+ a b) eps)) 1) (- (exp (* b eps)) 1))) (*.f64 #s(literal 3 binary64) (/.f64 (+.f64 a b) b))))
✓	accuracy	42.3%	(/.f64 eps (expm1.f64 (.f64 a (.f64 eps #s(literal 3 binary64)))))
✓	accuracy	99.8%	(.f64 (.f64 eps #s(literal 3 binary64)) (+.f64 (expm1.f64 (.f64 b eps)) (exp.f64 (.f64 b eps))))
✓	accuracy	99.8%	(/.f64 (fma.f64 a (fma.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (.f64 eps #s(literal 3 binary64)) (+.f64 (expm1.f64 (.f64 b eps)) (exp.f64 (.f64 b eps)))) (expm1.f64 (.f64 b eps))) (.f64 eps #s(literal -3/2 binary64))) #s(literal 1 binary64)) a)
✓	accuracy	99.4%	(fma.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (.f64 eps #s(literal 3 binary64)) (+.f64 (expm1.f64 (.f64 b eps)) (exp.f64 (.f64 b eps)))) (expm1.f64 (.f64 b eps))) (.f64 eps #s(literal -3/2 binary64)))
✓	accuracy	41.6%	(/.f64 (.f64 (.f64 eps #s(literal 3 binary64)) (+.f64 (expm1.f64 (.f64 b eps)) (exp.f64 (.f64 b eps)))) (expm1.f64 (*.f64 b eps)))

Samples

61.0ms	225×	0	valid
23.0ms	21×	3	valid
4.0ms	6×	2	valid
3.0ms	3×	1	valid
1.0ms	1×	4	valid

Compiler

Compiled 324 to 40 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-mult: 22.0ms (31.6% of total)

ival-exp: 12.0ms (17.3% of total)

ival-div: 10.0ms (14.4% of total)

ival-add: 9.0ms (12.9% of total)

ival-expm1: 7.0ms (10.1% of total)

adjust: 5.0ms (7.2% of total)

const: 4.0ms (5.8% of total)

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

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

exact: 0.0ms (0% of total)

series35.0ms (0.1%)

Memory

-22.5MiB live, 56.1MiB allocated

Counts

10 → 264

Calls

Call 1

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

Outputs
#<alt 1>
#<alt (+ 1 (* 2 (* b eps)))>
#<alt (+ 1 (* b (+ (* 2 eps) (* b (pow eps 2)))))>
#<alt (+ 1 (* b (+ (* 2 eps) (* b (+ (* 1/3 (* b (pow eps 3))) (pow eps 2))))))>
#<alt (- (* 2 (exp (* b eps))) 1)>
#<alt (- (* 2 (exp (* b eps))) 1)>
#<alt (- (* 2 (exp (* b eps))) 1)>
#<alt (- (* 2 (exp (* b eps))) 1)>
#<alt (- (* 2 (exp (* b eps))) 1)>
#<alt (- (* 2 (exp (* b eps))) 1)>
#<alt (- (* 2 (exp (* b eps))) 1)>
#<alt (- (* 2 (exp (* b eps))) 1)>
#<alt 1>
#<alt (+ 1 (* 2 (* b eps)))>
#<alt (+ 1 (* eps (+ (* 2 b) (* (pow b 2) eps))))>
#<alt (+ 1 (* eps (+ (* 2 b) (* eps (+ (* 1/3 (* (pow b 3) eps)) (pow b 2))))))>
#<alt (- (* 2 (exp (* b eps))) 1)>
#<alt (- (* 2 (exp (* b eps))) 1)>
#<alt (- (* 2 (exp (* b eps))) 1)>
#<alt (- (* 2 (exp (* b eps))) 1)>
#<alt (- (* 2 (exp (* b eps))) 1)>
#<alt (- (* 2 (exp (* b eps))) 1)>
#<alt (- (* 2 (exp (* b eps))) 1)>
#<alt (- (* 2 (exp (* b eps))) 1)>
#<alt (/ 1 b)>
#<alt (+ (* (pow eps 2) (- b (+ (* 1/6 b) (* 3/4 b)))) (/ 1 b))>
#<alt (+ (* (pow eps 2) (- (+ b (* eps (- (* 1/3 (pow b 2)) (+ (* 1/24 (pow b 2)) (+ (* 1/4 (pow b 2)) (* 1/2 (* b (- b (+ (* 1/6 b) (* 3/4 b)))))))))) (+ (* 1/6 b) (* 3/4 b)))) (/ 1 b))>
#<alt (+ (* (pow eps 2) (- (+ b (* eps (- (+ (* 1/3 (pow b 2)) (* eps (- (* 1/12 (pow b 3)) (+ (* 1/120 (pow b 3)) (+ (* 1/16 (pow b 3)) (+ (* 1/6 (* (pow b 2) (- b (+ (* 1/6 b) (* 3/4 b))))) (* 1/2 (* b (- (* 1/3 (pow b 2)) (+ (* 1/24 (pow b 2)) (+ (* 1/4 (pow b 2)) (* 1/2 (* b (- b (+ (* 1/6 b) (* 3/4 b)))))))))))))))) (+ (* 1/24 (pow b 2)) (+ (* 1/4 (pow b 2)) (* 1/2 (* b (- b (+ (* 1/6 b) (* 3/4 b)))))))))) (+ (* 1/6 b) (* 3/4 b)))) (/ 1 b))>
#<alt (* eps (- (* 2 (/ (exp (* b eps)) (- (exp (* b eps)) 1))) (+ 3/2 (/ 1 (- (exp (* b eps)) 1)))))>
#<alt (* eps (- (* 2 (/ (exp (* b eps)) (- (exp (* b eps)) 1))) (+ 3/2 (/ 1 (- (exp (* b eps)) 1)))))>
#<alt (* eps (- (* 2 (/ (exp (* b eps)) (- (exp (* b eps)) 1))) (+ 3/2 (/ 1 (- (exp (* b eps)) 1)))))>
#<alt (* eps (- (* 2 (/ (exp (* b eps)) (- (exp (* b eps)) 1))) (+ 3/2 (/ 1 (- (exp (* b eps)) 1)))))>
#<alt (* -1 (* eps (+ 3/2 (* -1 (/ (- (* 2 (exp (* b eps))) 1) (- (exp (* b eps)) 1))))))>
#<alt (* -1 (* eps (+ 3/2 (* -1 (/ (- (* 2 (exp (* b eps))) 1) (- (exp (* b eps)) 1))))))>
#<alt (* -1 (* eps (+ 3/2 (* -1 (/ (- (* 2 (exp (* b eps))) 1) (- (exp (* b eps)) 1))))))>
#<alt (* -1 (* eps (+ 3/2 (* -1 (/ (- (* 2 (exp (* b eps))) 1) (- (exp (* b eps)) 1))))))>
#<alt (/ 1 b)>
#<alt (/ (+ 1 (* b (- (+ (* -3/2 eps) (* 2 eps)) (* 1/2 eps)))) b)>
#<alt (/ (+ 1 (* b (- (+ (* -3/2 eps) (+ (* 2 eps) (* b (- (pow eps 2) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (* 2 eps) (* 1/2 eps))))))))) (* 1/2 eps)))) b)>
#<alt (/ (+ 1 (* b (- (+ (* -3/2 eps) (+ (* 2 eps) (* b (- (+ (* b (- (* 1/3 (pow eps 3)) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (* 2 eps) (* 1/2 eps)))) (* 1/2 (* eps (- (pow eps 2) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (* 2 eps) (* 1/2 eps)))))))))))) (pow eps 2)) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (* 2 eps) (* 1/2 eps))))))))) (* 1/2 eps)))) b)>
#<alt (+ (* -3/2 eps) (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))>
#<alt (+ (* -3/2 eps) (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))>
#<alt (+ (* -3/2 eps) (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))>
#<alt (+ (* -3/2 eps) (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))>
#<alt (+ (* -3/2 eps) (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))>
#<alt (+ (* -3/2 eps) (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))>
#<alt (+ (* -3/2 eps) (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))>
#<alt (+ (* -3/2 eps) (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))>
#<alt (* 3 eps)>
#<alt (* eps (+ 3 (* 6 (* b eps))))>
#<alt (* eps (+ 3 (* eps (+ (* 3 (* (pow b 2) eps)) (* 6 b)))))>
#<alt (* eps (+ 3 (* eps (+ (* 6 b) (* eps (+ (* 3 (pow b 2)) (* (pow b 3) eps)))))))>
#<alt (* 3 (* eps (- (* 2 (exp (* b eps))) 1)))>
#<alt (* 3 (* eps (- (* 2 (exp (* b eps))) 1)))>
#<alt (* 3 (* eps (- (* 2 (exp (* b eps))) 1)))>
#<alt (* 3 (* eps (- (* 2 (exp (* b eps))) 1)))>
#<alt (* 3 (* eps (- (* 2 (exp (* b eps))) 1)))>
#<alt (* 3 (* eps (- (* 2 (exp (* b eps))) 1)))>
#<alt (* 3 (* eps (- (* 2 (exp (* b eps))) 1)))>
#<alt (* 3 (* eps (- (* 2 (exp (* b eps))) 1)))>
#<alt (* 3 eps)>
#<alt (+ (* 3 eps) (* 6 (* b (pow eps 2))))>
#<alt (+ (* 3 eps) (* b (+ (* 3 (* b (pow eps 3))) (* 6 (pow eps 2)))))>
#<alt (+ (* 3 eps) (* b (+ (* 6 (pow eps 2)) (* b (+ (* 3 (pow eps 3)) (* b (pow eps 4)))))))>
#<alt (* 3 (* eps (- (* 2 (exp (* b eps))) 1)))>
#<alt (* 3 (* eps (- (* 2 (exp (* b eps))) 1)))>
#<alt (* 3 (* eps (- (* 2 (exp (* b eps))) 1)))>
#<alt (* 3 (* eps (- (* 2 (exp (* b eps))) 1)))>
#<alt (* 3 (* eps (- (* 2 (exp (* b eps))) 1)))>
#<alt (* 3 (* eps (- (* 2 (exp (* b eps))) 1)))>
#<alt (* 3 (* eps (- (* 2 (exp (* b eps))) 1)))>
#<alt (* 3 (* eps (- (* 2 (exp (* b eps))) 1)))>
#<alt (/ 1 a)>
#<alt (/ (+ 1 (* a (+ (* -3/2 eps) (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1))))) a)>
#<alt (/ (+ 1 (* a (+ (* -3/2 eps) (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1))))) a)>
#<alt (/ (+ 1 (* a (+ (* -3/2 eps) (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1))))) a)>
#<alt (+ (* -3/2 eps) (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))>
#<alt (+ (* -3/2 eps) (+ (/ 1 a) (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1))))>
#<alt (+ (* -3/2 eps) (+ (/ 1 a) (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1))))>
#<alt (+ (* -3/2 eps) (+ (/ 1 a) (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1))))>
#<alt (+ (* -3/2 eps) (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))>
#<alt (+ (* -3/2 eps) (+ (/ 1 a) (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1))))>
#<alt (+ (* -3/2 eps) (+ (/ 1 a) (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1))))>
#<alt (+ (* -3/2 eps) (+ (/ 1 a) (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1))))>
#<alt (/ (+ 1 (/ a b)) a)>
#<alt (+ (* (pow eps 2) (- b (+ (* 1/6 b) (* 3/4 b)))) (+ (/ 1 a) (/ 1 b)))>
#<alt (+ (* (pow eps 2) (- (+ b (* eps (- (* 1/3 (pow b 2)) (+ (* 1/24 (pow b 2)) (+ (* 1/4 (pow b 2)) (* 1/2 (* b (- b (+ (* 1/6 b) (* 3/4 b)))))))))) (+ (* 1/6 b) (* 3/4 b)))) (+ (/ 1 a) (/ 1 b)))>
#<alt (+ (* (pow eps 2) (- (+ b (* eps (- (+ (* 1/3 (pow b 2)) (* eps (- (* 1/12 (pow b 3)) (+ (* 1/120 (pow b 3)) (+ (* 1/16 (pow b 3)) (+ (* 1/6 (* (pow b 2) (- b (+ (* 1/6 b) (* 3/4 b))))) (* 1/2 (* b (- (* 1/3 (pow b 2)) (+ (* 1/24 (pow b 2)) (+ (* 1/4 (pow b 2)) (* 1/2 (* b (- b (+ (* 1/6 b) (* 3/4 b)))))))))))))))) (+ (* 1/24 (pow b 2)) (+ (* 1/4 (pow b 2)) (* 1/2 (* b (- b (+ (* 1/6 b) (* 3/4 b)))))))))) (+ (* 1/6 b) (* 3/4 b)))) (+ (/ 1 a) (/ 1 b)))>
#<alt (* eps (- (* 2 (/ (exp (* b eps)) (- (exp (* b eps)) 1))) (+ 3/2 (/ 1 (- (exp (* b eps)) 1)))))>
#<alt (* eps (- (+ (* 2 (/ (exp (* b eps)) (- (exp (* b eps)) 1))) (/ 1 (* a eps))) (+ 3/2 (/ 1 (- (exp (* b eps)) 1)))))>
#<alt (* eps (- (+ (* 2 (/ (exp (* b eps)) (- (exp (* b eps)) 1))) (/ 1 (* a eps))) (+ 3/2 (/ 1 (- (exp (* b eps)) 1)))))>
#<alt (* eps (- (+ (* 2 (/ (exp (* b eps)) (- (exp (* b eps)) 1))) (/ 1 (* a eps))) (+ 3/2 (/ 1 (- (exp (* b eps)) 1)))))>
#<alt (* -1 (* eps (+ 3/2 (* -1 (/ (- (* 2 (exp (* b eps))) 1) (- (exp (* b eps)) 1))))))>
#<alt (* -1 (* eps (- (+ 3/2 (* -1 (/ (- (* 2 (exp (* b eps))) 1) (- (exp (* b eps)) 1)))) (/ 1 (* a eps)))))>
#<alt (* -1 (* eps (- (+ 3/2 (* -1 (/ (- (* 2 (exp (* b eps))) 1) (- (exp (* b eps)) 1)))) (/ 1 (* a eps)))))>
#<alt (* -1 (* eps (- (+ 3/2 (* -1 (/ (- (* 2 (exp (* b eps))) 1) (- (exp (* b eps)) 1)))) (/ 1 (* a eps)))))>
#<alt (/ 1 b)>
#<alt (/ (+ 1 (* b (- (+ (* -3/2 eps) (+ (* 2 eps) (/ 1 a))) (* 1/2 eps)))) b)>
#<alt (/ (+ 1 (* b (- (+ (* -3/2 eps) (+ (* 2 eps) (+ (* b (- (pow eps 2) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (* 2 eps) (* 1/2 eps))))))) (/ 1 a)))) (* 1/2 eps)))) b)>
#<alt (/ (+ 1 (* b (- (+ (* -3/2 eps) (+ (* 2 eps) (+ (* b (- (+ (* b (- (* 1/3 (pow eps 3)) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (* 2 eps) (* 1/2 eps)))) (* 1/2 (* eps (- (pow eps 2) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (* 2 eps) (* 1/2 eps)))))))))))) (pow eps 2)) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (* 2 eps) (* 1/2 eps))))))) (/ 1 a)))) (* 1/2 eps)))) b)>
#<alt (/ (+ 1 (* a (+ (* -3/2 eps) (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1))))) a)>
#<alt (/ (+ 1 (* a (+ (* -3/2 eps) (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1))))) a)>
#<alt (/ (+ 1 (* a (+ (* -3/2 eps) (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1))))) a)>
#<alt (/ (+ 1 (* a (+ (* -3/2 eps) (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1))))) a)>
#<alt (/ (+ 1 (* a (+ (* -3/2 eps) (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1))))) a)>
#<alt (/ (+ 1 (* a (+ (* -3/2 eps) (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1))))) a)>
#<alt (/ (+ 1 (* a (+ (* -3/2 eps) (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1))))) a)>
#<alt (/ (+ 1 (* a (+ (* -3/2 eps) (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1))))) a)>
#<alt (/ (+ a b) (* a b))>
#<alt (+ (* eps (- (* 1/3 (/ (+ (* 3/2 (pow (+ a b) 2)) (* (+ a b) (+ a (* 2 a)))) (* a b))) (* 1/3 (/ (* (+ a b) (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))))) (+ (/ 1 a) (/ 1 b)))>
#<alt (+ (* eps (- (+ (* 1/3 (/ (+ (* 3/2 (pow (+ a b) 2)) (* (+ a b) (+ a (* 2 a)))) (* a b))) (* eps (- (* 1/3 (/ (+ (* 1/2 (* (pow (+ a b) 2) (+ a (* 2 a)))) (+ (* 1/2 (pow (+ a b) 3)) (* (+ a b) (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))))) (* a b))) (+ (* 1/3 (/ (* (+ a b) (+ (* 1/2 (* a (pow b 3))) (+ (* 9/4 (* (pow a 2) (pow b 2))) (* 9/2 (* (pow a 3) b))))) (* (pow a 2) (pow b 2)))) (* 1/3 (/ (* (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b))) (- (* 1/3 (/ (+ (* 3/2 (pow (+ a b) 2)) (* (+ a b) (+ a (* 2 a)))) (* a b))) (* 1/3 (/ (* (+ a b) (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))))) (* a b))))))) (* 1/3 (/ (* (+ a b) (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))))) (+ (/ 1 a) (/ 1 b)))>
#<alt (+ (* eps (- (+ (* 1/3 (/ (+ (* 3/2 (pow (+ a b) 2)) (* (+ a b) (+ a (* 2 a)))) (* a b))) (* eps (- (+ (* 1/3 (/ (+ (* 1/2 (* (pow (+ a b) 2) (+ a (* 2 a)))) (+ (* 1/2 (pow (+ a b) 3)) (* (+ a b) (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))))) (* a b))) (* eps (- (* 1/3 (/ (+ (* 1/8 (pow (+ a b) 4)) (+ (* 1/6 (* (pow (+ a b) 3) (+ a (* 2 a)))) (+ (* 1/2 (* (pow (+ a b) 2) (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (* (+ a b) (+ (* 1/6 (pow a 3)) (* 4/3 (pow a 3))))))) (* a b))) (+ (* 1/3 (/ (* (+ a b) (+ (* 1/8 (* a (pow b 4))) (+ (* 3/4 (* (pow a 2) (pow b 3))) (+ (* 9/4 (* (pow a 3) (pow b 2))) (* 27/8 (* (pow a 4) b)))))) (* (pow a 2) (pow b 2)))) (+ (* 1/3 (/ (* (+ (* 1/2 (* a (pow b 3))) (+ (* 9/4 (* (pow a 2) (pow b 2))) (* 9/2 (* (pow a 3) b)))) (- (* 1/3 (/ (+ (* 3/2 (pow (+ a b) 2)) (* (+ a b) (+ a (* 2 a)))) (* a b))) (* 1/3 (/ (* (+ a b) (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))))) (* a b))) (* 1/3 (/ (* (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b))) (- (* 1/3 (/ (+ (* 1/2 (* (pow (+ a b) 2) (+ a (* 2 a)))) (+ (* 1/2 (pow (+ a b) 3)) (* (+ a b) (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))))) (* a b))) (+ (* 1/3 (/ (* (+ a b) (+ (* 1/2 (* a (pow b 3))) (+ (* 9/4 (* (pow a 2) (pow b 2))) (* 9/2 (* (pow a 3) b))))) (* (pow a 2) (pow b 2)))) (* 1/3 (/ (* (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b))) (- (* 1/3 (/ (+ (* 3/2 (pow (+ a b) 2)) (* (+ a b) (+ a (* 2 a)))) (* a b))) (* 1/3 (/ (* (+ a b) (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))))) (* a b)))))) (* a b)))))))) (+ (* 1/3 (/ (* (+ a b) (+ (* 1/2 (* a (pow b 3))) (+ (* 9/4 (* (pow a 2) (pow b 2))) (* 9/2 (* (pow a 3) b))))) (* (pow a 2) (pow b 2)))) (* 1/3 (/ (* (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b))) (- (* 1/3 (/ (+ (* 3/2 (pow (+ a b) 2)) (* (+ a b) (+ a (* 2 a)))) (* a b))) (* 1/3 (/ (* (+ a b) (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))))) (* a b))))))) (* 1/3 (/ (* (+ a b) (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))))) (+ (/ 1 a) (/ 1 b)))>
#<alt (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))>
#<alt (/ 1 a)>
#<alt (/ (+ 1 (* a (- (* 1/3 (/ (+ (* 3 (* eps (exp (* b eps)))) (* (+ eps (* 2 eps)) (- (exp (* b eps)) 1))) (- (exp (* b eps)) 1))) (* 3/2 eps)))) a)>
#<alt (/ (+ 1 (* a (- (+ (* 1/3 (/ (+ (* 3 (* eps (exp (* b eps)))) (* (+ eps (* 2 eps)) (- (exp (* b eps)) 1))) (- (exp (* b eps)) 1))) (* a (- (* 1/3 (/ (+ (* 3/2 (* (pow eps 2) (exp (* b eps)))) (+ (* eps (* (exp (* b eps)) (+ eps (* 2 eps)))) (* (+ (* 1/2 (pow eps 2)) (* 2 (pow eps 2))) (- (exp (* b eps)) 1)))) (- (exp (* b eps)) 1))) (+ (* 3/2 (* eps (- (* 1/3 (/ (+ (* 3 (* eps (exp (* b eps)))) (* (+ eps (* 2 eps)) (- (exp (* b eps)) 1))) (- (exp (* b eps)) 1))) (* 3/2 eps)))) (* 3/2 (pow eps 2)))))) (* 3/2 eps)))) a)>
#<alt (/ (+ 1 (* a (- (+ (* 1/3 (/ (+ (* 3 (* eps (exp (* b eps)))) (* (+ eps (* 2 eps)) (- (exp (* b eps)) 1))) (- (exp (* b eps)) 1))) (* a (- (+ (* 1/3 (/ (+ (* 3/2 (* (pow eps 2) (exp (* b eps)))) (+ (* eps (* (exp (* b eps)) (+ eps (* 2 eps)))) (* (+ (* 1/2 (pow eps 2)) (* 2 (pow eps 2))) (- (exp (* b eps)) 1)))) (- (exp (* b eps)) 1))) (* a (- (* 1/3 (/ (+ (* 1/2 (* (pow eps 2) (* (exp (* b eps)) (+ eps (* 2 eps))))) (+ (* 1/2 (* (pow eps 3) (exp (* b eps)))) (+ (* eps (* (exp (* b eps)) (+ (* 1/2 (pow eps 2)) (* 2 (pow eps 2))))) (* (+ (* 1/6 (pow eps 3)) (* 4/3 (pow eps 3))) (- (exp (* b eps)) 1))))) (- (exp (* b eps)) 1))) (+ (* 9/8 (pow eps 3)) (+ (* 3/2 (* eps (- (* 1/3 (/ (+ (* 3/2 (* (pow eps 2) (exp (* b eps)))) (+ (* eps (* (exp (* b eps)) (+ eps (* 2 eps)))) (* (+ (* 1/2 (pow eps 2)) (* 2 (pow eps 2))) (- (exp (* b eps)) 1)))) (- (exp (* b eps)) 1))) (+ (* 3/2 (* eps (- (* 1/3 (/ (+ (* 3 (* eps (exp (* b eps)))) (* (+ eps (* 2 eps)) (- (exp (* b eps)) 1))) (- (exp (* b eps)) 1))) (* 3/2 eps)))) (* 3/2 (pow eps 2)))))) (* 3/2 (* (pow eps 2) (- (* 1/3 (/ (+ (* 3 (* eps (exp (* b eps)))) (* (+ eps (* 2 eps)) (- (exp (* b eps)) 1))) (- (exp (* b eps)) 1))) (* 3/2 eps))))))))) (+ (* 3/2 (* eps (- (* 1/3 (/ (+ (* 3 (* eps (exp (* b eps)))) (* (+ eps (* 2 eps)) (- (exp (* b eps)) 1))) (- (exp (* b eps)) 1))) (* 3/2 eps)))) (* 3/2 (pow eps 2)))))) (* 3/2 eps)))) a)>
#<alt (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (- b (* -1 a)))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (- b (* -1 a)))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (- b (* -1 a)))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (- b (* -1 a)))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1)) (* b (- (exp (* 3 (* a eps))) 1)))>
#<alt (/ (+ (* b (- (/ (* eps (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))))) (- (exp (* 3 (* a eps))) 1)) (* 1/2 (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))) (- (exp (* 3 (* a eps))) 1))))) (/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1)) (- (exp (* 3 (* a eps))) 1))) b)>
#<alt (/ (+ (* b (- (+ (* b (- (* 1/2 (/ (* (pow eps 2) (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))))) (- (exp (* 3 (* a eps))) 1))) (+ (* 1/6 (/ (* (pow eps 2) (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))) (- (exp (* 3 (* a eps))) 1))) (* 1/2 (* eps (- (/ (* eps (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))))) (- (exp (* 3 (* a eps))) 1)) (* 1/2 (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))) (- (exp (* 3 (* a eps))) 1))))))))) (/ (* eps (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))))) (- (exp (* 3 (* a eps))) 1))) (* 1/2 (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))) (- (exp (* 3 (* a eps))) 1))))) (/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1)) (- (exp (* 3 (* a eps))) 1))) b)>
#<alt (/ (+ (* b (- (+ (* b (- (+ (* 1/2 (/ (* (pow eps 2) (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))))) (- (exp (* 3 (* a eps))) 1))) (* b (- (* 1/6 (/ (* (pow eps 3) (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))))) (- (exp (* 3 (* a eps))) 1))) (+ (* 1/24 (/ (* (pow eps 3) (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))) (- (exp (* 3 (* a eps))) 1))) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))))) (- (exp (* 3 (* a eps))) 1)) (* 1/2 (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))) (- (exp (* 3 (* a eps))) 1)))))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))))) (- (exp (* 3 (* a eps))) 1))) (+ (* 1/6 (/ (* (pow eps 2) (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))) (- (exp (* 3 (* a eps))) 1))) (* 1/2 (* eps (- (/ (* eps (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))))) (- (exp (* 3 (* a eps))) 1)) (* 1/2 (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))) (- (exp (* 3 (* a eps))) 1))))))))))))))) (+ (* 1/6 (/ (* (pow eps 2) (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))) (- (exp (* 3 (* a eps))) 1))) (* 1/2 (* eps (- (/ (* eps (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))))) (- (exp (* 3 (* a eps))) 1)) (* 1/2 (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))) (- (exp (* 3 (* a eps))) 1))))))))) (/ (* eps (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))))) (- (exp (* 3 (* a eps))) 1))) (* 1/2 (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))) (- (exp (* 3 (* a eps))) 1))))) (/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1)) (- (exp (* 3 (* a eps))) 1))) b)>
#<alt (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (- a (* -1 b)))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (- a (* -1 b)))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (- a (* -1 b)))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (- a (* -1 b)))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))>
#<alt (/ 1/3 a)>
#<alt (+ (* -1/2 eps) (* 1/3 (/ 1 a)))>
#<alt (+ (* eps (- (* -1 (* eps (+ (* -3/4 a) (* 1/2 a)))) 1/2)) (* 1/3 (/ 1 a)))>
#<alt (+ (* eps (- (* eps (- (* -1 (* eps (+ (* -3/2 (* a (+ (* -3/4 a) (* 1/2 a)))) (+ (* -3/4 (pow a 2)) (* 3/8 (pow a 2)))))) (+ (* -3/4 a) (* 1/2 a)))) 1/2)) (* 1/3 (/ 1 a)))>
#<alt (/ eps (- (exp (* 3 (* a eps))) 1))>
#<alt (/ eps (- (exp (* 3 (* a eps))) 1))>
#<alt (/ eps (- (exp (* 3 (* a eps))) 1))>
#<alt (/ eps (- (exp (* 3 (* a eps))) 1))>
#<alt (/ eps (- (exp (* 3 (* a eps))) 1))>
#<alt (/ eps (- (exp (* 3 (* a eps))) 1))>
#<alt (/ eps (- (exp (* 3 (* a eps))) 1))>
#<alt (/ eps (- (exp (* 3 (* a eps))) 1))>
#<alt (/ 1/3 a)>
#<alt (/ (+ 1/3 (* -1/2 (* a eps))) a)>
#<alt (/ (+ 1/3 (* a (- (* -1 (* a (+ (* -3/4 (pow eps 2)) (* 1/2 (pow eps 2))))) (* 1/2 eps)))) a)>
#<alt (/ (+ 1/3 (* a (- (* a (- (* -1 (* a (+ (* -3/2 (* eps (+ (* -3/4 (pow eps 2)) (* 1/2 (pow eps 2))))) (+ (* -3/4 (pow eps 3)) (* 3/8 (pow eps 3)))))) (+ (* -3/4 (pow eps 2)) (* 1/2 (pow eps 2))))) (* 1/2 eps)))) a)>
#<alt (/ eps (- (exp (* 3 (* a eps))) 1))>
#<alt (/ eps (- (exp (* 3 (* a eps))) 1))>
#<alt (/ eps (- (exp (* 3 (* a eps))) 1))>
#<alt (/ eps (- (exp (* 3 (* a eps))) 1))>
#<alt (/ eps (- (exp (* 3 (* a eps))) 1))>
#<alt (/ eps (- (exp (* 3 (* a eps))) 1))>
#<alt (/ eps (- (exp (* 3 (* a eps))) 1))>
#<alt (/ eps (- (exp (* 3 (* a eps))) 1))>
#<alt (* 3 (* a eps))>
#<alt (* a (+ (* 3 eps) (* 9/2 (* a (pow eps 2)))))>
#<alt (* a (+ (* 3 eps) (* a (+ (* 9/2 (* a (pow eps 3))) (* 9/2 (pow eps 2))))))>
#<alt (* a (+ (* 3 eps) (* a (+ (* 9/2 (pow eps 2)) (* a (+ (* 27/8 (* a (pow eps 4))) (* 9/2 (pow eps 3))))))))>
#<alt (- (exp (* 3 (* a eps))) 1)>
#<alt (- (exp (* 3 (* a eps))) 1)>
#<alt (- (exp (* 3 (* a eps))) 1)>
#<alt (- (exp (* 3 (* a eps))) 1)>
#<alt (- (exp (* 3 (* a eps))) 1)>
#<alt (- (exp (* 3 (* a eps))) 1)>
#<alt (- (exp (* 3 (* a eps))) 1)>
#<alt (- (exp (* 3 (* a eps))) 1)>
#<alt (* 3 (* a eps))>
#<alt (* eps (+ (* 3 a) (* 9/2 (* (pow a 2) eps))))>
#<alt (* eps (+ (* 3 a) (* eps (+ (* 9/2 (* (pow a 3) eps)) (* 9/2 (pow a 2))))))>
#<alt (* eps (+ (* 3 a) (* eps (+ (* 9/2 (pow a 2)) (* eps (+ (* 27/8 (* (pow a 4) eps)) (* 9/2 (pow a 3))))))))>
#<alt (- (exp (* 3 (* a eps))) 1)>
#<alt (- (exp (* 3 (* a eps))) 1)>
#<alt (- (exp (* 3 (* a eps))) 1)>
#<alt (- (exp (* 3 (* a eps))) 1)>
#<alt (- (exp (* 3 (* a eps))) 1)>
#<alt (- (exp (* 3 (* a eps))) 1)>
#<alt (- (exp (* 3 (* a eps))) 1)>
#<alt (- (exp (* 3 (* a eps))) 1)>
#<alt (* 3 (* a eps))>
#<alt (* 3 (* a eps))>
#<alt (* 3 (* a eps))>
#<alt (* 3 (* a eps))>
#<alt (* 3 (* a eps))>
#<alt (* 3 (* a eps))>
#<alt (* 3 (* a eps))>
#<alt (* 3 (* a eps))>
#<alt (* 3 (* a eps))>
#<alt (* 3 (* a eps))>
#<alt (* 3 (* a eps))>
#<alt (* 3 (* a eps))>
#<alt (* 3 (* a eps))>
#<alt (* 3 (* a eps))>
#<alt (* 3 (* a eps))>
#<alt (* 3 (* a eps))>
#<alt (* 3 (* a eps))>
#<alt (* 3 (* a eps))>
#<alt (* 3 (* a eps))>
#<alt (* 3 (* a eps))>
#<alt (* 3 (* a eps))>
#<alt (* 3 (* a eps))>
#<alt (* 3 (* a eps))>
#<alt (* 3 (* a eps))>
#<alt (/ 3 b)>
#<alt (+ (* 9/2 eps) (* 3 (/ 1 b)))>
#<alt (+ (* eps (+ 9/2 (* 3 (* eps (- b (+ (* 1/6 b) (* 3/4 b))))))) (* 3 (/ 1 b)))>
#<alt (+ (* eps (+ 9/2 (* eps (+ (* 3 (* eps (- (* 1/3 (pow b 2)) (+ (* 1/24 (pow b 2)) (+ (* 1/4 (pow b 2)) (* 1/2 (* b (- b (+ (* 1/6 b) (* 3/4 b)))))))))) (* 3 (- b (+ (* 1/6 b) (* 3/4 b)))))))) (* 3 (/ 1 b)))>
#<alt (* 3 (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))>
#<alt (* 3 (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))>
#<alt (* 3 (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))>
#<alt (* 3 (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))>
#<alt (* 3 (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))>
#<alt (* 3 (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))>
#<alt (* 3 (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))>
#<alt (* 3 (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))>
#<alt (/ 3 b)>
#<alt (/ (+ 3 (* 3 (* b (- (* 2 eps) (* 1/2 eps))))) b)>
#<alt (/ (+ 3 (* b (+ (* 3 (* b (- (pow eps 2) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (* 2 eps) (* 1/2 eps)))))))) (* 3 (- (* 2 eps) (* 1/2 eps)))))) b)>
#<alt (/ (+ 3 (* b (+ (* 3 (- (* 2 eps) (* 1/2 eps))) (* b (+ (* 3 (* b (- (* 1/3 (pow eps 3)) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (* 2 eps) (* 1/2 eps)))) (* 1/2 (* eps (- (pow eps 2) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (* 2 eps) (* 1/2 eps))))))))))))) (* 3 (- (pow eps 2) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (* 2 eps) (* 1/2 eps)))))))))))) b)>
#<alt (* 3 (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))>
#<alt (* 3 (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))>
#<alt (* 3 (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))>
#<alt (* 3 (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))>
#<alt (* 3 (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))>
#<alt (* 3 (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))>
#<alt (* 3 (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))>
#<alt (* 3 (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))>
#<alt 3>
#<alt (+ 3 (* 3 (/ a b)))>
#<alt (+ 3 (* 3 (/ a b)))>
#<alt (+ 3 (* 3 (/ a b)))>
#<alt (* 3 (/ a b))>
#<alt (* a (+ (* 3 (/ 1 a)) (* 3 (/ 1 b))))>
#<alt (* a (+ (* 3 (/ 1 a)) (* 3 (/ 1 b))))>
#<alt (* a (+ (* 3 (/ 1 a)) (* 3 (/ 1 b))))>
#<alt (* 3 (/ a b))>
#<alt (* a (+ (* 3 (/ 1 a)) (* 3 (/ 1 b))))>
#<alt (* a (+ (* 3 (/ 1 a)) (* 3 (/ 1 b))))>
#<alt (* a (+ (* 3 (/ 1 a)) (* 3 (/ 1 b))))>
#<alt (* 3 (/ a b))>
#<alt (/ (+ (* 3 a) (* 3 b)) b)>
#<alt (/ (+ (* 3 a) (* 3 b)) b)>
#<alt (/ (+ (* 3 a) (* 3 b)) b)>
#<alt 3>
#<alt (+ 3 (* 3 (/ a b)))>
#<alt (+ 3 (* 3 (/ a b)))>
#<alt (+ 3 (* 3 (/ a b)))>
#<alt 3>
#<alt (+ 3 (* 3 (/ a b)))>
#<alt (+ 3 (* 3 (/ a b)))>
#<alt (+ 3 (* 3 (/ a b)))>

Calls

66 calls:

Time	Variable		Point	Expression
4.0ms	eps	@	-inf	(+ (* 1/3 (/ (* (* eps 3) (+ (- (exp (* b eps)) 1) (exp (* b eps)))) (- (exp (* b eps)) 1))) (* eps -3/2))
2.0ms	eps	@	inf	(+ (* 1/3 (/ (* (* eps 3) (+ (- (exp (* b eps)) 1) (exp (* b eps)))) (- (exp (* b eps)) 1))) (* eps -3/2))
1.0ms	a	@	0	(/ (+ (* a (+ (* 1/3 (/ (* (* eps 3) (+ (- (exp (* b eps)) 1) (exp (* b eps)))) (- (exp (* b eps)) 1))) (* eps -3/2))) 1) a)
1.0ms	eps	@	0	(+ (* 1/3 (/ (* (* eps 3) (+ (- (exp (* b eps)) 1) (exp (* b eps)))) (- (exp (* b eps)) 1))) (* eps -3/2))
1.0ms	b	@	inf	(+ (* 1/3 (/ (* (* eps 3) (+ (- (exp (* b eps)) 1) (exp (* b eps)))) (- (exp (* b eps)) 1))) (* eps -3/2))

simplify429.0ms (1.5%)

Memory

53.6MiB live, 604.3MiB allocated

Algorithm

1×	egg-herbie

Rules

10 196×	`lower-fma.f64`
10 196×	`lower-fma.f32`
7 916×	`lower-*.f64`
7 916×	`lower-*.f32`
3 780×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	621	6684
1	1952	6416
2	7136	6416
0	8507	5619

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
1
(+ 1 (* 2 (* b eps)))
(+ 1 (* b (+ (* 2 eps) (* b (pow eps 2)))))
(+ 1 (* b (+ (* 2 eps) (* b (+ (* 1/3 (* b (pow eps 3))) (pow eps 2))))))
(- (* 2 (exp (* b eps))) 1)
(- (* 2 (exp (* b eps))) 1)
(- (* 2 (exp (* b eps))) 1)
(- (* 2 (exp (* b eps))) 1)
(- (* 2 (exp (* b eps))) 1)
(- (* 2 (exp (* b eps))) 1)
(- (* 2 (exp (* b eps))) 1)
(- (* 2 (exp (* b eps))) 1)
1
(+ 1 (* 2 (* b eps)))
(+ 1 (* eps (+ (* 2 b) (* (pow b 2) eps))))
(+ 1 (* eps (+ (* 2 b) (* eps (+ (* 1/3 (* (pow b 3) eps)) (pow b 2))))))
(- (* 2 (exp (* b eps))) 1)
(- (* 2 (exp (* b eps))) 1)
(- (* 2 (exp (* b eps))) 1)
(- (* 2 (exp (* b eps))) 1)
(- (* 2 (exp (* b eps))) 1)
(- (* 2 (exp (* b eps))) 1)
(- (* 2 (exp (* b eps))) 1)
(- (* 2 (exp (* b eps))) 1)
(/ 1 b)
(+ (* (pow eps 2) (- b (+ (* 1/6 b) (* 3/4 b)))) (/ 1 b))
(+ (* (pow eps 2) (- (+ b (* eps (- (* 1/3 (pow b 2)) (+ (* 1/24 (pow b 2)) (+ (* 1/4 (pow b 2)) (* 1/2 (* b (- b (+ (* 1/6 b) (* 3/4 b)))))))))) (+ (* 1/6 b) (* 3/4 b)))) (/ 1 b))
(+ (* (pow eps 2) (- (+ b (* eps (- (+ (* 1/3 (pow b 2)) (* eps (- (* 1/12 (pow b 3)) (+ (* 1/120 (pow b 3)) (+ (* 1/16 (pow b 3)) (+ (* 1/6 (* (pow b 2) (- b (+ (* 1/6 b) (* 3/4 b))))) (* 1/2 (* b (- (* 1/3 (pow b 2)) (+ (* 1/24 (pow b 2)) (+ (* 1/4 (pow b 2)) (* 1/2 (* b (- b (+ (* 1/6 b) (* 3/4 b)))))))))))))))) (+ (* 1/24 (pow b 2)) (+ (* 1/4 (pow b 2)) (* 1/2 (* b (- b (+ (* 1/6 b) (* 3/4 b)))))))))) (+ (* 1/6 b) (* 3/4 b)))) (/ 1 b))
(* eps (- (* 2 (/ (exp (* b eps)) (- (exp (* b eps)) 1))) (+ 3/2 (/ 1 (- (exp (* b eps)) 1)))))
(* eps (- (* 2 (/ (exp (* b eps)) (- (exp (* b eps)) 1))) (+ 3/2 (/ 1 (- (exp (* b eps)) 1)))))
(* eps (- (* 2 (/ (exp (* b eps)) (- (exp (* b eps)) 1))) (+ 3/2 (/ 1 (- (exp (* b eps)) 1)))))
(* eps (- (* 2 (/ (exp (* b eps)) (- (exp (* b eps)) 1))) (+ 3/2 (/ 1 (- (exp (* b eps)) 1)))))
(* -1 (* eps (+ 3/2 (* -1 (/ (- (* 2 (exp (* b eps))) 1) (- (exp (* b eps)) 1))))))
(* -1 (* eps (+ 3/2 (* -1 (/ (- (* 2 (exp (* b eps))) 1) (- (exp (* b eps)) 1))))))
(* -1 (* eps (+ 3/2 (* -1 (/ (- (* 2 (exp (* b eps))) 1) (- (exp (* b eps)) 1))))))
(* -1 (* eps (+ 3/2 (* -1 (/ (- (* 2 (exp (* b eps))) 1) (- (exp (* b eps)) 1))))))
(/ 1 b)
(/ (+ 1 (* b (- (+ (* -3/2 eps) (* 2 eps)) (* 1/2 eps)))) b)
(/ (+ 1 (* b (- (+ (* -3/2 eps) (+ (* 2 eps) (* b (- (pow eps 2) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (* 2 eps) (* 1/2 eps))))))))) (* 1/2 eps)))) b)
(/ (+ 1 (* b (- (+ (* -3/2 eps) (+ (* 2 eps) (* b (- (+ (* b (- (* 1/3 (pow eps 3)) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (* 2 eps) (* 1/2 eps)))) (* 1/2 (* eps (- (pow eps 2) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (* 2 eps) (* 1/2 eps)))))))))))) (pow eps 2)) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (* 2 eps) (* 1/2 eps))))))))) (* 1/2 eps)))) b)
(+ (* -3/2 eps) (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))
(+ (* -3/2 eps) (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))
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(* 3 eps)
(* eps (+ 3 (* 6 (* b eps))))
(* eps (+ 3 (* eps (+ (* 3 (* (pow b 2) eps)) (* 6 b)))))
(* eps (+ 3 (* eps (+ (* 6 b) (* eps (+ (* 3 (pow b 2)) (* (pow b 3) eps)))))))
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(* 3 (* eps (- (* 2 (exp (* b eps))) 1)))
(* 3 (* eps (- (* 2 (exp (* b eps))) 1)))
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(* 3 (* eps (- (* 2 (exp (* b eps))) 1)))
(* 3 (* eps (- (* 2 (exp (* b eps))) 1)))
(* 3 (* eps (- (* 2 (exp (* b eps))) 1)))
(* 3 eps)
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(* 3 (* eps (- (* 2 (exp (* b eps))) 1)))
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(/ eps (- (exp (* 3 (* a eps))) 1))
(/ eps (- (exp (* 3 (* a eps))) 1))
(/ eps (- (exp (* 3 (* a eps))) 1))
(/ eps (- (exp (* 3 (* a eps))) 1))
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(/ (+ 1/3 (* -1/2 (* a eps))) a)
(/ (+ 1/3 (* a (- (* -1 (* a (+ (* -3/4 (pow eps 2)) (* 1/2 (pow eps 2))))) (* 1/2 eps)))) a)
(/ (+ 1/3 (* a (- (* a (- (* -1 (* a (+ (* -3/2 (* eps (+ (* -3/4 (pow eps 2)) (* 1/2 (pow eps 2))))) (+ (* -3/4 (pow eps 3)) (* 3/8 (pow eps 3)))))) (+ (* -3/4 (pow eps 2)) (* 1/2 (pow eps 2))))) (* 1/2 eps)))) a)
(/ eps (- (exp (* 3 (* a eps))) 1))
(/ eps (- (exp (* 3 (* a eps))) 1))
(/ eps (- (exp (* 3 (* a eps))) 1))
(/ eps (- (exp (* 3 (* a eps))) 1))
(/ eps (- (exp (* 3 (* a eps))) 1))
(/ eps (- (exp (* 3 (* a eps))) 1))
(/ eps (- (exp (* 3 (* a eps))) 1))
(/ eps (- (exp (* 3 (* a eps))) 1))
(* 3 (* a eps))
(* a (+ (* 3 eps) (* 9/2 (* a (pow eps 2)))))
(* a (+ (* 3 eps) (* a (+ (* 9/2 (* a (pow eps 3))) (* 9/2 (pow eps 2))))))
(* a (+ (* 3 eps) (* a (+ (* 9/2 (pow eps 2)) (* a (+ (* 27/8 (* a (pow eps 4))) (* 9/2 (pow eps 3))))))))
(- (exp (* 3 (* a eps))) 1)
(- (exp (* 3 (* a eps))) 1)
(- (exp (* 3 (* a eps))) 1)
(- (exp (* 3 (* a eps))) 1)
(- (exp (* 3 (* a eps))) 1)
(- (exp (* 3 (* a eps))) 1)
(- (exp (* 3 (* a eps))) 1)
(- (exp (* 3 (* a eps))) 1)
(* 3 (* a eps))
(* eps (+ (* 3 a) (* 9/2 (* (pow a 2) eps))))
(* eps (+ (* 3 a) (* eps (+ (* 9/2 (* (pow a 3) eps)) (* 9/2 (pow a 2))))))
(* eps (+ (* 3 a) (* eps (+ (* 9/2 (pow a 2)) (* eps (+ (* 27/8 (* (pow a 4) eps)) (* 9/2 (pow a 3))))))))
(- (exp (* 3 (* a eps))) 1)
(- (exp (* 3 (* a eps))) 1)
(- (exp (* 3 (* a eps))) 1)
(- (exp (* 3 (* a eps))) 1)
(- (exp (* 3 (* a eps))) 1)
(- (exp (* 3 (* a eps))) 1)
(- (exp (* 3 (* a eps))) 1)
(- (exp (* 3 (* a eps))) 1)
(* 3 (* a eps))
(* 3 (* a eps))
(* 3 (* a eps))
(* 3 (* a eps))
(* 3 (* a eps))
(* 3 (* a eps))
(* 3 (* a eps))
(* 3 (* a eps))
(* 3 (* a eps))
(* 3 (* a eps))
(* 3 (* a eps))
(* 3 (* a eps))
(* 3 (* a eps))
(* 3 (* a eps))
(* 3 (* a eps))
(* 3 (* a eps))
(* 3 (* a eps))
(* 3 (* a eps))
(* 3 (* a eps))
(* 3 (* a eps))
(* 3 (* a eps))
(* 3 (* a eps))
(* 3 (* a eps))
(* 3 (* a eps))
(/ 3 b)
(+ (* 9/2 eps) (* 3 (/ 1 b)))
(+ (* eps (+ 9/2 (* 3 (* eps (- b (+ (* 1/6 b) (* 3/4 b))))))) (* 3 (/ 1 b)))
(+ (* eps (+ 9/2 (* eps (+ (* 3 (* eps (- (* 1/3 (pow b 2)) (+ (* 1/24 (pow b 2)) (+ (* 1/4 (pow b 2)) (* 1/2 (* b (- b (+ (* 1/6 b) (* 3/4 b)))))))))) (* 3 (- b (+ (* 1/6 b) (* 3/4 b)))))))) (* 3 (/ 1 b)))
(* 3 (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))
(* 3 (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))
(* 3 (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))
(* 3 (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))
(* 3 (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))
(* 3 (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))
(* 3 (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))
(* 3 (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))
(/ 3 b)
(/ (+ 3 (* 3 (* b (- (* 2 eps) (* 1/2 eps))))) b)
(/ (+ 3 (* b (+ (* 3 (* b (- (pow eps 2) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (* 2 eps) (* 1/2 eps)))))))) (* 3 (- (* 2 eps) (* 1/2 eps)))))) b)
(/ (+ 3 (* b (+ (* 3 (- (* 2 eps) (* 1/2 eps))) (* b (+ (* 3 (* b (- (* 1/3 (pow eps 3)) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (* 2 eps) (* 1/2 eps)))) (* 1/2 (* eps (- (pow eps 2) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (* 2 eps) (* 1/2 eps))))))))))))) (* 3 (- (pow eps 2) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (* 2 eps) (* 1/2 eps)))))))))))) b)
(* 3 (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))
(* 3 (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))
(* 3 (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))
(* 3 (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))
(* 3 (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))
(* 3 (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))
(* 3 (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))
(* 3 (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))
3
(+ 3 (* 3 (/ a b)))
(+ 3 (* 3 (/ a b)))
(+ 3 (* 3 (/ a b)))
(* 3 (/ a b))
(* a (+ (* 3 (/ 1 a)) (* 3 (/ 1 b))))
(* a (+ (* 3 (/ 1 a)) (* 3 (/ 1 b))))
(* a (+ (* 3 (/ 1 a)) (* 3 (/ 1 b))))
(* 3 (/ a b))
(* a (+ (* 3 (/ 1 a)) (* 3 (/ 1 b))))
(* a (+ (* 3 (/ 1 a)) (* 3 (/ 1 b))))
(* a (+ (* 3 (/ 1 a)) (* 3 (/ 1 b))))
(* 3 (/ a b))
(/ (+ (* 3 a) (* 3 b)) b)
(/ (+ (* 3 a) (* 3 b)) b)
(/ (+ (* 3 a) (* 3 b)) b)
3
(+ 3 (* 3 (/ a b)))
(+ 3 (* 3 (/ a b)))
(+ 3 (* 3 (/ a b)))
3
(+ 3 (* 3 (/ a b)))
(+ 3 (* 3 (/ a b)))
(+ 3 (* 3 (/ a b)))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 2 (* b eps)))
(fma.f64 #s(literal 2 binary64) (*.f64 b eps) #s(literal 1 binary64))
(+ 1 (* b (+ (* 2 eps) (* b (pow eps 2)))))
(fma.f64 b (fma.f64 #s(literal 2 binary64) eps (.f64 b (.f64 eps eps))) #s(literal 1 binary64))
(+ 1 (* b (+ (* 2 eps) (* b (+ (* 1/3 (* b (pow eps 3))) (pow eps 2))))))
(fma.f64 b (fma.f64 b (fma.f64 b (.f64 #s(literal 1/3 binary64) (.f64 eps (.f64 eps eps))) (.f64 eps eps)) (*.f64 #s(literal 2 binary64) eps)) #s(literal 1 binary64))
(- (* 2 (exp (* b eps))) 1)
(fma.f64 #s(literal 2 binary64) (exp.f64 (*.f64 b eps)) #s(literal -1 binary64))
(- (* 2 (exp (* b eps))) 1)
(fma.f64 #s(literal 2 binary64) (exp.f64 (*.f64 b eps)) #s(literal -1 binary64))
(- (* 2 (exp (* b eps))) 1)
(fma.f64 #s(literal 2 binary64) (exp.f64 (*.f64 b eps)) #s(literal -1 binary64))
(- (* 2 (exp (* b eps))) 1)
(fma.f64 #s(literal 2 binary64) (exp.f64 (*.f64 b eps)) #s(literal -1 binary64))
(- (* 2 (exp (* b eps))) 1)
(fma.f64 #s(literal 2 binary64) (exp.f64 (*.f64 b eps)) #s(literal -1 binary64))
(- (* 2 (exp (* b eps))) 1)
(fma.f64 #s(literal 2 binary64) (exp.f64 (*.f64 b eps)) #s(literal -1 binary64))
(- (* 2 (exp (* b eps))) 1)
(fma.f64 #s(literal 2 binary64) (exp.f64 (*.f64 b eps)) #s(literal -1 binary64))
(- (* 2 (exp (* b eps))) 1)
(fma.f64 #s(literal 2 binary64) (exp.f64 (*.f64 b eps)) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 2 (* b eps)))
(fma.f64 #s(literal 2 binary64) (*.f64 b eps) #s(literal 1 binary64))
(+ 1 (* eps (+ (* 2 b) (* (pow b 2) eps))))
(fma.f64 b (fma.f64 #s(literal 2 binary64) eps (.f64 b (.f64 eps eps))) #s(literal 1 binary64))
(+ 1 (* eps (+ (* 2 b) (* eps (+ (* 1/3 (* (pow b 3) eps)) (pow b 2))))))
(fma.f64 eps (fma.f64 eps (fma.f64 eps (.f64 (.f64 #s(literal 1/3 binary64) (.f64 b b)) b) (.f64 b b)) (*.f64 #s(literal 2 binary64) b)) #s(literal 1 binary64))
(- (* 2 (exp (* b eps))) 1)
(fma.f64 #s(literal 2 binary64) (exp.f64 (*.f64 b eps)) #s(literal -1 binary64))
(- (* 2 (exp (* b eps))) 1)
(fma.f64 #s(literal 2 binary64) (exp.f64 (*.f64 b eps)) #s(literal -1 binary64))
(- (* 2 (exp (* b eps))) 1)
(fma.f64 #s(literal 2 binary64) (exp.f64 (*.f64 b eps)) #s(literal -1 binary64))
(- (* 2 (exp (* b eps))) 1)
(fma.f64 #s(literal 2 binary64) (exp.f64 (*.f64 b eps)) #s(literal -1 binary64))
(- (* 2 (exp (* b eps))) 1)
(fma.f64 #s(literal 2 binary64) (exp.f64 (*.f64 b eps)) #s(literal -1 binary64))
(- (* 2 (exp (* b eps))) 1)
(fma.f64 #s(literal 2 binary64) (exp.f64 (*.f64 b eps)) #s(literal -1 binary64))
(- (* 2 (exp (* b eps))) 1)
(fma.f64 #s(literal 2 binary64) (exp.f64 (*.f64 b eps)) #s(literal -1 binary64))
(- (* 2 (exp (* b eps))) 1)
(fma.f64 #s(literal 2 binary64) (exp.f64 (*.f64 b eps)) #s(literal -1 binary64))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (* (pow eps 2) (- b (+ (* 1/6 b) (* 3/4 b)))) (/ 1 b))
(fma.f64 eps (*.f64 eps (fma.f64 b #s(literal -11/12 binary64) b)) (/.f64 #s(literal 1 binary64) b))
(+ (* (pow eps 2) (- (+ b (* eps (- (* 1/3 (pow b 2)) (+ (* 1/24 (pow b 2)) (+ (* 1/4 (pow b 2)) (* 1/2 (* b (- b (+ (* 1/6 b) (* 3/4 b)))))))))) (+ (* 1/6 b) (* 3/4 b)))) (/ 1 b))
(fma.f64 (.f64 eps eps) (fma.f64 eps (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 b b)) (fma.f64 b (.f64 (fma.f64 b #s(literal -11/12 binary64) b) #s(literal 1/2 binary64)) (.f64 (.f64 b b) #s(literal 7/24 binary64)))) (fma.f64 b #s(literal -11/12 binary64) b)) (/.f64 #s(literal 1 binary64) b))
(+ (* (pow eps 2) (- (+ b (* eps (- (+ (* 1/3 (pow b 2)) (* eps (- (* 1/12 (pow b 3)) (+ (* 1/120 (pow b 3)) (+ (* 1/16 (pow b 3)) (+ (* 1/6 (* (pow b 2) (- b (+ (* 1/6 b) (* 3/4 b))))) (* 1/2 (* b (- (* 1/3 (pow b 2)) (+ (* 1/24 (pow b 2)) (+ (* 1/4 (pow b 2)) (* 1/2 (* b (- b (+ (* 1/6 b) (* 3/4 b)))))))))))))))) (+ (* 1/24 (pow b 2)) (+ (* 1/4 (pow b 2)) (* 1/2 (* b (- b (+ (* 1/6 b) (* 3/4 b)))))))))) (+ (* 1/6 b) (* 3/4 b)))) (/ 1 b))
(fma.f64 (.f64 eps eps) (fma.f64 b #s(literal -11/12 binary64) (fma.f64 eps (-.f64 (fma.f64 eps (-.f64 (.f64 b (.f64 (.f64 b b) #s(literal 1/12 binary64))) (fma.f64 (.f64 b (.f64 b b)) #s(literal 17/240 binary64) (fma.f64 (.f64 b b) (.f64 (fma.f64 b #s(literal -11/12 binary64) b) #s(literal 1/6 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 b b)) (fma.f64 b (.f64 (fma.f64 b #s(literal -11/12 binary64) b) #s(literal 1/2 binary64)) (.f64 (.f64 b b) #s(literal 7/24 binary64)))) (.f64 b #s(literal 1/2 binary64)))))) (.f64 #s(literal 1/3 binary64) (.f64 b b))) (fma.f64 b (.f64 (fma.f64 b #s(literal -11/12 binary64) b) #s(literal 1/2 binary64)) (.f64 (.f64 b b) #s(literal 7/24 binary64)))) b)) (/.f64 #s(literal 1 binary64) b))
(* eps (- (* 2 (/ (exp (* b eps)) (- (exp (* b eps)) 1))) (+ 3/2 (/ 1 (- (exp (* b eps)) 1)))))
(.f64 eps (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 (.f64 b eps)) #s(literal -1 binary64)) (expm1.f64 (*.f64 b eps))) #s(literal 3/2 binary64)))
(* eps (- (* 2 (/ (exp (* b eps)) (- (exp (* b eps)) 1))) (+ 3/2 (/ 1 (- (exp (* b eps)) 1)))))
(.f64 eps (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 (.f64 b eps)) #s(literal -1 binary64)) (expm1.f64 (*.f64 b eps))) #s(literal 3/2 binary64)))
(* eps (- (* 2 (/ (exp (* b eps)) (- (exp (* b eps)) 1))) (+ 3/2 (/ 1 (- (exp (* b eps)) 1)))))
(.f64 eps (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 (.f64 b eps)) #s(literal -1 binary64)) (expm1.f64 (*.f64 b eps))) #s(literal 3/2 binary64)))
(* eps (- (* 2 (/ (exp (* b eps)) (- (exp (* b eps)) 1))) (+ 3/2 (/ 1 (- (exp (* b eps)) 1)))))
(.f64 eps (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 (.f64 b eps)) #s(literal -1 binary64)) (expm1.f64 (*.f64 b eps))) #s(literal 3/2 binary64)))
(* -1 (* eps (+ 3/2 (* -1 (/ (- (* 2 (exp (* b eps))) 1) (- (exp (* b eps)) 1))))))
(.f64 (-.f64 #s(literal 3/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 (.f64 b eps)) #s(literal -1 binary64)) (expm1.f64 (*.f64 b eps)))) (neg.f64 eps))
(* -1 (* eps (+ 3/2 (* -1 (/ (- (* 2 (exp (* b eps))) 1) (- (exp (* b eps)) 1))))))
(.f64 (-.f64 #s(literal 3/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 (.f64 b eps)) #s(literal -1 binary64)) (expm1.f64 (*.f64 b eps)))) (neg.f64 eps))
(* -1 (* eps (+ 3/2 (* -1 (/ (- (* 2 (exp (* b eps))) 1) (- (exp (* b eps)) 1))))))
(.f64 (-.f64 #s(literal 3/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 (.f64 b eps)) #s(literal -1 binary64)) (expm1.f64 (*.f64 b eps)))) (neg.f64 eps))
(* -1 (* eps (+ 3/2 (* -1 (/ (- (* 2 (exp (* b eps))) 1) (- (exp (* b eps)) 1))))))
(.f64 (-.f64 #s(literal 3/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 (.f64 b eps)) #s(literal -1 binary64)) (expm1.f64 (*.f64 b eps)))) (neg.f64 eps))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ (+ 1 (* b (- (+ (* -3/2 eps) (* 2 eps)) (* 1/2 eps)))) b)
(/.f64 (fma.f64 b #s(literal 0 binary64) #s(literal 1 binary64)) b)
(/ (+ 1 (* b (- (+ (* -3/2 eps) (+ (* 2 eps) (* b (- (pow eps 2) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (* 2 eps) (* 1/2 eps))))))))) (* 1/2 eps)))) b)
(/.f64 (fma.f64 b (fma.f64 eps #s(literal 1/2 binary64) (fma.f64 b (-.f64 (.f64 eps eps) (fma.f64 eps (.f64 #s(literal 1/2 binary64) (.f64 eps #s(literal 3/2 binary64))) (.f64 (.f64 eps eps) #s(literal 1/6 binary64)))) (.f64 eps #s(literal -1/2 binary64)))) #s(literal 1 binary64)) b)
(/ (+ 1 (* b (- (+ (* -3/2 eps) (+ (* 2 eps) (* b (- (+ (* b (- (* 1/3 (pow eps 3)) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (* 2 eps) (* 1/2 eps)))) (* 1/2 (* eps (- (pow eps 2) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (* 2 eps) (* 1/2 eps)))))))))))) (pow eps 2)) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (* 2 eps) (* 1/2 eps))))))))) (* 1/2 eps)))) b)
(/.f64 (fma.f64 b (fma.f64 eps #s(literal 1/2 binary64) (fma.f64 b (+.f64 (fma.f64 b (-.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal 7/24 binary64)) (fma.f64 (.f64 eps #s(literal 1/2 binary64)) (-.f64 (.f64 eps eps) (fma.f64 eps (.f64 #s(literal 1/2 binary64) (.f64 eps #s(literal 3/2 binary64))) (.f64 (.f64 eps eps) #s(literal 1/6 binary64)))) (.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 (.f64 eps eps) #s(literal 3/2 binary64)))))) (fma.f64 eps eps (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 3/2 binary64)))) (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 1 binary64)) b)
(+ (* -3/2 eps) (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))
(.f64 eps (+.f64 #s(literal -3/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 (.f64 b eps)) #s(literal -1 binary64)) (expm1.f64 (*.f64 b eps)))))
(+ (* -3/2 eps) (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))
(.f64 eps (+.f64 #s(literal -3/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 (.f64 b eps)) #s(literal -1 binary64)) (expm1.f64 (*.f64 b eps)))))
(+ (* -3/2 eps) (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))
(.f64 eps (+.f64 #s(literal -3/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 (.f64 b eps)) #s(literal -1 binary64)) (expm1.f64 (*.f64 b eps)))))
(+ (* -3/2 eps) (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))
(.f64 eps (+.f64 #s(literal -3/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 (.f64 b eps)) #s(literal -1 binary64)) (expm1.f64 (*.f64 b eps)))))
(+ (* -3/2 eps) (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))
(.f64 eps (+.f64 #s(literal -3/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 (.f64 b eps)) #s(literal -1 binary64)) (expm1.f64 (*.f64 b eps)))))
(+ (* -3/2 eps) (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))
(.f64 eps (+.f64 #s(literal -3/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 (.f64 b eps)) #s(literal -1 binary64)) (expm1.f64 (*.f64 b eps)))))
(+ (* -3/2 eps) (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))
(.f64 eps (+.f64 #s(literal -3/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 (.f64 b eps)) #s(literal -1 binary64)) (expm1.f64 (*.f64 b eps)))))
(+ (* -3/2 eps) (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))
(.f64 eps (+.f64 #s(literal -3/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 (.f64 b eps)) #s(literal -1 binary64)) (expm1.f64 (*.f64 b eps)))))
(* 3 eps)
(*.f64 eps #s(literal 3 binary64))
(* eps (+ 3 (* 6 (* b eps))))
(.f64 eps (fma.f64 b (.f64 eps #s(literal 6 binary64)) #s(literal 3 binary64)))
(* eps (+ 3 (* eps (+ (* 3 (* (pow b 2) eps)) (* 6 b)))))
(.f64 eps (fma.f64 eps (fma.f64 b #s(literal 6 binary64) (.f64 eps (.f64 b (.f64 b #s(literal 3 binary64))))) #s(literal 3 binary64)))
(* eps (+ 3 (* eps (+ (* 6 b) (* eps (+ (* 3 (pow b 2)) (* (pow b 3) eps)))))))
(.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (.f64 b (.f64 b b)) (.f64 b (.f64 b #s(literal 3 binary64)))) (.f64 b #s(literal 6 binary64))) #s(literal 3 binary64)))
(* 3 (* eps (- (* 2 (exp (* b eps))) 1)))
(.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 (.f64 b eps)) #s(literal -1 binary64)) (*.f64 eps #s(literal 3 binary64)))
(* 3 (* eps (- (* 2 (exp (* b eps))) 1)))
(.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 (.f64 b eps)) #s(literal -1 binary64)) (*.f64 eps #s(literal 3 binary64)))
(* 3 (* eps (- (* 2 (exp (* b eps))) 1)))
(.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 (.f64 b eps)) #s(literal -1 binary64)) (*.f64 eps #s(literal 3 binary64)))
(* 3 (* eps (- (* 2 (exp (* b eps))) 1)))
(.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 (.f64 b eps)) #s(literal -1 binary64)) (*.f64 eps #s(literal 3 binary64)))
(* 3 (* eps (- (* 2 (exp (* b eps))) 1)))
(.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 (.f64 b eps)) #s(literal -1 binary64)) (*.f64 eps #s(literal 3 binary64)))
(* 3 (* eps (- (* 2 (exp (* b eps))) 1)))
(.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 (.f64 b eps)) #s(literal -1 binary64)) (*.f64 eps #s(literal 3 binary64)))
(* 3 (* eps (- (* 2 (exp (* b eps))) 1)))
(.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 (.f64 b eps)) #s(literal -1 binary64)) (*.f64 eps #s(literal 3 binary64)))
(* 3 (* eps (- (* 2 (exp (* b eps))) 1)))
(.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 (.f64 b eps)) #s(literal -1 binary64)) (*.f64 eps #s(literal 3 binary64)))
(* 3 eps)
(*.f64 eps #s(literal 3 binary64))
(+ (* 3 eps) (* 6 (* b (pow eps 2))))
(.f64 eps (fma.f64 b (.f64 eps #s(literal 6 binary64)) #s(literal 3 binary64)))
(+ (* 3 eps) (* b (+ (* 3 (* b (pow eps 3))) (* 6 (pow eps 2)))))
(fma.f64 b (fma.f64 b (.f64 #s(literal 3 binary64) (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 eps #s(literal 6 binary64)))) (.f64 eps #s(literal 3 binary64)))
(+ (* 3 eps) (* b (+ (* 6 (pow eps 2)) (* b (+ (* 3 (pow eps 3)) (* b (pow eps 4)))))))
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(* 3 (* eps (- (* 2 (exp (* b eps))) 1)))
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(/.f64 eps (expm1.f64 (.f64 eps (.f64 #s(literal 3 binary64) a))))
(/ eps (- (exp (* 3 (* a eps))) 1))
(/.f64 eps (expm1.f64 (.f64 eps (.f64 #s(literal 3 binary64) a))))
(/ eps (- (exp (* 3 (* a eps))) 1))
(/.f64 eps (expm1.f64 (.f64 eps (.f64 #s(literal 3 binary64) a))))
(/ 1/3 a)
(/.f64 #s(literal 1/3 binary64) a)
(/ (+ 1/3 (* -1/2 (* a eps))) a)
(/.f64 (fma.f64 eps (*.f64 a #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) a)
(/ (+ 1/3 (* a (- (* -1 (* a (+ (* -3/4 (pow eps 2)) (* 1/2 (pow eps 2))))) (* 1/2 eps)))) a)
(/.f64 (fma.f64 a (fma.f64 a (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1/3 binary64)) a)
(/ (+ 1/3 (* a (- (* a (- (* -1 (* a (+ (* -3/2 (* eps (+ (* -3/4 (pow eps 2)) (* 1/2 (pow eps 2))))) (+ (* -3/4 (pow eps 3)) (* 3/8 (pow eps 3)))))) (+ (* -3/4 (pow eps 2)) (* 1/2 (pow eps 2))))) (* 1/2 eps)))) a)
(/.f64 (fma.f64 a (fma.f64 a (fma.f64 (.f64 eps eps) #s(literal 1/4 binary64) (.f64 (neg.f64 a) (fma.f64 #s(literal -3/2 binary64) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -1/4 binary64)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -3/8 binary64))))) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1/3 binary64)) a)
(/ eps (- (exp (* 3 (* a eps))) 1))
(/.f64 eps (expm1.f64 (.f64 eps (.f64 #s(literal 3 binary64) a))))
(/ eps (- (exp (* 3 (* a eps))) 1))
(/.f64 eps (expm1.f64 (.f64 eps (.f64 #s(literal 3 binary64) a))))
(/ eps (- (exp (* 3 (* a eps))) 1))
(/.f64 eps (expm1.f64 (.f64 eps (.f64 #s(literal 3 binary64) a))))
(/ eps (- (exp (* 3 (* a eps))) 1))
(/.f64 eps (expm1.f64 (.f64 eps (.f64 #s(literal 3 binary64) a))))
(/ eps (- (exp (* 3 (* a eps))) 1))
(/.f64 eps (expm1.f64 (.f64 eps (.f64 #s(literal 3 binary64) a))))
(/ eps (- (exp (* 3 (* a eps))) 1))
(/.f64 eps (expm1.f64 (.f64 eps (.f64 #s(literal 3 binary64) a))))
(/ eps (- (exp (* 3 (* a eps))) 1))
(/.f64 eps (expm1.f64 (.f64 eps (.f64 #s(literal 3 binary64) a))))
(/ eps (- (exp (* 3 (* a eps))) 1))
(/.f64 eps (expm1.f64 (.f64 eps (.f64 #s(literal 3 binary64) a))))
(* 3 (* a eps))
(.f64 eps (.f64 #s(literal 3 binary64) a))
(* a (+ (* 3 eps) (* 9/2 (* a (pow eps 2)))))
(.f64 eps (fma.f64 eps (.f64 #s(literal 9/2 binary64) (.f64 a a)) (.f64 #s(literal 3 binary64) a)))
(* a (+ (* 3 eps) (* a (+ (* 9/2 (* a (pow eps 3))) (* 9/2 (pow eps 2))))))
(.f64 a (fma.f64 a (.f64 #s(literal 9/2 binary64) (fma.f64 eps (.f64 eps (.f64 eps a)) (.f64 eps eps))) (.f64 eps #s(literal 3 binary64))))
(* a (+ (* 3 eps) (* a (+ (* 9/2 (pow eps 2)) (* a (+ (* 27/8 (* a (pow eps 4))) (* 9/2 (pow eps 3))))))))
(.f64 a (fma.f64 a (fma.f64 a (.f64 a (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 27/8 binary64))) (.f64 #s(literal 9/2 binary64) (fma.f64 eps (.f64 eps (.f64 eps a)) (.f64 eps eps)))) (.f64 eps #s(literal 3 binary64))))
(- (exp (* 3 (* a eps))) 1)
(expm1.f64 (.f64 eps (.f64 #s(literal 3 binary64) a)))
(- (exp (* 3 (* a eps))) 1)
(expm1.f64 (.f64 eps (.f64 #s(literal 3 binary64) a)))
(- (exp (* 3 (* a eps))) 1)
(expm1.f64 (.f64 eps (.f64 #s(literal 3 binary64) a)))
(- (exp (* 3 (* a eps))) 1)
(expm1.f64 (.f64 eps (.f64 #s(literal 3 binary64) a)))
(- (exp (* 3 (* a eps))) 1)
(expm1.f64 (.f64 eps (.f64 #s(literal 3 binary64) a)))
(- (exp (* 3 (* a eps))) 1)
(expm1.f64 (.f64 eps (.f64 #s(literal 3 binary64) a)))
(- (exp (* 3 (* a eps))) 1)
(expm1.f64 (.f64 eps (.f64 #s(literal 3 binary64) a)))
(- (exp (* 3 (* a eps))) 1)
(expm1.f64 (.f64 eps (.f64 #s(literal 3 binary64) a)))
(* 3 (* a eps))
(.f64 eps (.f64 #s(literal 3 binary64) a))
(* eps (+ (* 3 a) (* 9/2 (* (pow a 2) eps))))
(.f64 eps (fma.f64 eps (.f64 #s(literal 9/2 binary64) (.f64 a a)) (.f64 #s(literal 3 binary64) a)))
(* eps (+ (* 3 a) (* eps (+ (* 9/2 (* (pow a 3) eps)) (* 9/2 (pow a 2))))))
(.f64 eps (fma.f64 (.f64 eps #s(literal 9/2 binary64)) (fma.f64 eps (.f64 a (.f64 a a)) (.f64 a a)) (.f64 #s(literal 3 binary64) a)))
(* eps (+ (* 3 a) (* eps (+ (* 9/2 (pow a 2)) (* eps (+ (* 27/8 (* (pow a 4) eps)) (* 9/2 (pow a 3))))))))
(.f64 eps (fma.f64 eps (fma.f64 eps (.f64 #s(literal 27/8 binary64) (.f64 eps (pow.f64 a #s(literal 4 binary64)))) (.f64 #s(literal 9/2 binary64) (fma.f64 eps (.f64 a (.f64 a a)) (.f64 a a)))) (.f64 #s(literal 3 binary64) a)))
(- (exp (* 3 (* a eps))) 1)
(expm1.f64 (.f64 eps (.f64 #s(literal 3 binary64) a)))
(- (exp (* 3 (* a eps))) 1)
(expm1.f64 (.f64 eps (.f64 #s(literal 3 binary64) a)))
(- (exp (* 3 (* a eps))) 1)
(expm1.f64 (.f64 eps (.f64 #s(literal 3 binary64) a)))
(- (exp (* 3 (* a eps))) 1)
(expm1.f64 (.f64 eps (.f64 #s(literal 3 binary64) a)))
(- (exp (* 3 (* a eps))) 1)
(expm1.f64 (.f64 eps (.f64 #s(literal 3 binary64) a)))
(- (exp (* 3 (* a eps))) 1)
(expm1.f64 (.f64 eps (.f64 #s(literal 3 binary64) a)))
(- (exp (* 3 (* a eps))) 1)
(expm1.f64 (.f64 eps (.f64 #s(literal 3 binary64) a)))
(- (exp (* 3 (* a eps))) 1)
(expm1.f64 (.f64 eps (.f64 #s(literal 3 binary64) a)))
(* 3 (* a eps))
(.f64 eps (.f64 #s(literal 3 binary64) a))
(* 3 (* a eps))
(.f64 eps (.f64 #s(literal 3 binary64) a))
(* 3 (* a eps))
(.f64 eps (.f64 #s(literal 3 binary64) a))
(* 3 (* a eps))
(.f64 eps (.f64 #s(literal 3 binary64) a))
(* 3 (* a eps))
(.f64 eps (.f64 #s(literal 3 binary64) a))
(* 3 (* a eps))
(.f64 eps (.f64 #s(literal 3 binary64) a))
(* 3 (* a eps))
(.f64 eps (.f64 #s(literal 3 binary64) a))
(* 3 (* a eps))
(.f64 eps (.f64 #s(literal 3 binary64) a))
(* 3 (* a eps))
(.f64 eps (.f64 #s(literal 3 binary64) a))
(* 3 (* a eps))
(.f64 eps (.f64 #s(literal 3 binary64) a))
(* 3 (* a eps))
(.f64 eps (.f64 #s(literal 3 binary64) a))
(* 3 (* a eps))
(.f64 eps (.f64 #s(literal 3 binary64) a))
(* 3 (* a eps))
(.f64 eps (.f64 #s(literal 3 binary64) a))
(* 3 (* a eps))
(.f64 eps (.f64 #s(literal 3 binary64) a))
(* 3 (* a eps))
(.f64 eps (.f64 #s(literal 3 binary64) a))
(* 3 (* a eps))
(.f64 eps (.f64 #s(literal 3 binary64) a))
(* 3 (* a eps))
(.f64 eps (.f64 #s(literal 3 binary64) a))
(* 3 (* a eps))
(.f64 eps (.f64 #s(literal 3 binary64) a))
(* 3 (* a eps))
(.f64 eps (.f64 #s(literal 3 binary64) a))
(* 3 (* a eps))
(.f64 eps (.f64 #s(literal 3 binary64) a))
(* 3 (* a eps))
(.f64 eps (.f64 #s(literal 3 binary64) a))
(* 3 (* a eps))
(.f64 eps (.f64 #s(literal 3 binary64) a))
(* 3 (* a eps))
(.f64 eps (.f64 #s(literal 3 binary64) a))
(* 3 (* a eps))
(.f64 eps (.f64 #s(literal 3 binary64) a))
(/ 3 b)
(/.f64 #s(literal 3 binary64) b)
(+ (* 9/2 eps) (* 3 (/ 1 b)))
(fma.f64 eps #s(literal 9/2 binary64) (/.f64 #s(literal 3 binary64) b))
(+ (* eps (+ 9/2 (* 3 (* eps (- b (+ (* 1/6 b) (* 3/4 b))))))) (* 3 (/ 1 b)))
(fma.f64 eps (fma.f64 (fma.f64 b #s(literal -11/12 binary64) b) (*.f64 eps #s(literal 3 binary64)) #s(literal 9/2 binary64)) (/.f64 #s(literal 3 binary64) b))
(+ (* eps (+ 9/2 (* eps (+ (* 3 (* eps (- (* 1/3 (pow b 2)) (+ (* 1/24 (pow b 2)) (+ (* 1/4 (pow b 2)) (* 1/2 (* b (- b (+ (* 1/6 b) (* 3/4 b)))))))))) (* 3 (- b (+ (* 1/6 b) (* 3/4 b)))))))) (* 3 (/ 1 b)))
(fma.f64 eps (fma.f64 (.f64 eps #s(literal 3 binary64)) (fma.f64 eps (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 b b)) (fma.f64 b (.f64 (fma.f64 b #s(literal -11/12 binary64) b) #s(literal 1/2 binary64)) (.f64 (.f64 b b) #s(literal 7/24 binary64)))) (fma.f64 b #s(literal -11/12 binary64) b)) #s(literal 9/2 binary64)) (/.f64 #s(literal 3 binary64) b))
(* 3 (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))
(.f64 #s(literal 3 binary64) (.f64 eps (/.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 (.f64 b eps)) #s(literal -1 binary64)) (expm1.f64 (.f64 b eps)))))
(* 3 (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))
(.f64 #s(literal 3 binary64) (.f64 eps (/.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 (.f64 b eps)) #s(literal -1 binary64)) (expm1.f64 (.f64 b eps)))))
(* 3 (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))
(.f64 #s(literal 3 binary64) (.f64 eps (/.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 (.f64 b eps)) #s(literal -1 binary64)) (expm1.f64 (.f64 b eps)))))
(* 3 (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))
(.f64 #s(literal 3 binary64) (.f64 eps (/.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 (.f64 b eps)) #s(literal -1 binary64)) (expm1.f64 (.f64 b eps)))))
(* 3 (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))
(.f64 #s(literal 3 binary64) (.f64 eps (/.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 (.f64 b eps)) #s(literal -1 binary64)) (expm1.f64 (.f64 b eps)))))
(* 3 (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))
(.f64 #s(literal 3 binary64) (.f64 eps (/.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 (.f64 b eps)) #s(literal -1 binary64)) (expm1.f64 (.f64 b eps)))))
(* 3 (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))
(.f64 #s(literal 3 binary64) (.f64 eps (/.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 (.f64 b eps)) #s(literal -1 binary64)) (expm1.f64 (.f64 b eps)))))
(* 3 (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))
(.f64 #s(literal 3 binary64) (.f64 eps (/.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 (.f64 b eps)) #s(literal -1 binary64)) (expm1.f64 (.f64 b eps)))))
(/ 3 b)
(/.f64 #s(literal 3 binary64) b)
(/ (+ 3 (* 3 (* b (- (* 2 eps) (* 1/2 eps))))) b)
(/.f64 (fma.f64 b (*.f64 eps #s(literal 9/2 binary64)) #s(literal 3 binary64)) b)
(/ (+ 3 (* b (+ (* 3 (* b (- (pow eps 2) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (* 2 eps) (* 1/2 eps)))))))) (* 3 (- (* 2 eps) (* 1/2 eps)))))) b)
(/.f64 (fma.f64 b (fma.f64 (-.f64 (.f64 eps eps) (fma.f64 eps (.f64 #s(literal 1/2 binary64) (.f64 eps #s(literal 3/2 binary64))) (.f64 (.f64 eps eps) #s(literal 1/6 binary64)))) (.f64 b #s(literal 3 binary64)) (*.f64 eps #s(literal 9/2 binary64))) #s(literal 3 binary64)) b)
(/ (+ 3 (* b (+ (* 3 (- (* 2 eps) (* 1/2 eps))) (* b (+ (* 3 (* b (- (* 1/3 (pow eps 3)) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (* 2 eps) (* 1/2 eps)))) (* 1/2 (* eps (- (pow eps 2) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (* 2 eps) (* 1/2 eps))))))))))))) (* 3 (- (pow eps 2) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (* 2 eps) (* 1/2 eps)))))))))))) b)
(/.f64 (fma.f64 b (fma.f64 (.f64 b #s(literal 3 binary64)) (+.f64 (fma.f64 b (-.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal 7/24 binary64)) (fma.f64 (.f64 eps #s(literal 1/2 binary64)) (-.f64 (.f64 eps eps) (fma.f64 eps (.f64 #s(literal 1/2 binary64) (.f64 eps #s(literal 3/2 binary64))) (.f64 (.f64 eps eps) #s(literal 1/6 binary64)))) (.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 (.f64 eps eps) #s(literal 3/2 binary64)))))) (fma.f64 eps eps (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 3/2 binary64)))) (.f64 eps #s(literal 9/2 binary64))) #s(literal 3 binary64)) b)
(* 3 (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))
(.f64 #s(literal 3 binary64) (.f64 eps (/.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 (.f64 b eps)) #s(literal -1 binary64)) (expm1.f64 (.f64 b eps)))))
(* 3 (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))
(.f64 #s(literal 3 binary64) (.f64 eps (/.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 (.f64 b eps)) #s(literal -1 binary64)) (expm1.f64 (.f64 b eps)))))
(* 3 (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))
(.f64 #s(literal 3 binary64) (.f64 eps (/.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 (.f64 b eps)) #s(literal -1 binary64)) (expm1.f64 (.f64 b eps)))))
(* 3 (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))
(.f64 #s(literal 3 binary64) (.f64 eps (/.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 (.f64 b eps)) #s(literal -1 binary64)) (expm1.f64 (.f64 b eps)))))
(* 3 (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))
(.f64 #s(literal 3 binary64) (.f64 eps (/.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 (.f64 b eps)) #s(literal -1 binary64)) (expm1.f64 (.f64 b eps)))))
(* 3 (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))
(.f64 #s(literal 3 binary64) (.f64 eps (/.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 (.f64 b eps)) #s(literal -1 binary64)) (expm1.f64 (.f64 b eps)))))
(* 3 (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))
(.f64 #s(literal 3 binary64) (.f64 eps (/.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 (.f64 b eps)) #s(literal -1 binary64)) (expm1.f64 (.f64 b eps)))))
(* 3 (/ (* eps (- (* 2 (exp (* b eps))) 1)) (- (exp (* b eps)) 1)))
(.f64 #s(literal 3 binary64) (.f64 eps (/.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 (.f64 b eps)) #s(literal -1 binary64)) (expm1.f64 (.f64 b eps)))))
3
#s(literal 3 binary64)
(+ 3 (* 3 (/ a b)))
(fma.f64 #s(literal 3 binary64) (/.f64 a b) #s(literal 3 binary64))
(+ 3 (* 3 (/ a b)))
(fma.f64 #s(literal 3 binary64) (/.f64 a b) #s(literal 3 binary64))
(+ 3 (* 3 (/ a b)))
(fma.f64 #s(literal 3 binary64) (/.f64 a b) #s(literal 3 binary64))
(* 3 (/ a b))
(/.f64 (*.f64 #s(literal 3 binary64) a) b)
(* a (+ (* 3 (/ 1 a)) (* 3 (/ 1 b))))
(*.f64 a (+.f64 (/.f64 #s(literal 3 binary64) b) (/.f64 #s(literal 3 binary64) a)))
(* a (+ (* 3 (/ 1 a)) (* 3 (/ 1 b))))
(*.f64 a (+.f64 (/.f64 #s(literal 3 binary64) b) (/.f64 #s(literal 3 binary64) a)))
(* a (+ (* 3 (/ 1 a)) (* 3 (/ 1 b))))
(*.f64 a (+.f64 (/.f64 #s(literal 3 binary64) b) (/.f64 #s(literal 3 binary64) a)))
(* 3 (/ a b))
(/.f64 (*.f64 #s(literal 3 binary64) a) b)
(* a (+ (* 3 (/ 1 a)) (* 3 (/ 1 b))))
(*.f64 a (+.f64 (/.f64 #s(literal 3 binary64) b) (/.f64 #s(literal 3 binary64) a)))
(* a (+ (* 3 (/ 1 a)) (* 3 (/ 1 b))))
(*.f64 a (+.f64 (/.f64 #s(literal 3 binary64) b) (/.f64 #s(literal 3 binary64) a)))
(* a (+ (* 3 (/ 1 a)) (* 3 (/ 1 b))))
(*.f64 a (+.f64 (/.f64 #s(literal 3 binary64) b) (/.f64 #s(literal 3 binary64) a)))
(* 3 (/ a b))
(/.f64 (*.f64 #s(literal 3 binary64) a) b)
(/ (+ (* 3 a) (* 3 b)) b)
(*.f64 #s(literal 3 binary64) (/.f64 (+.f64 b a) b))
(/ (+ (* 3 a) (* 3 b)) b)
(*.f64 #s(literal 3 binary64) (/.f64 (+.f64 b a) b))
(/ (+ (* 3 a) (* 3 b)) b)
(*.f64 #s(literal 3 binary64) (/.f64 (+.f64 b a) b))
3
#s(literal 3 binary64)
(+ 3 (* 3 (/ a b)))
(fma.f64 #s(literal 3 binary64) (/.f64 a b) #s(literal 3 binary64))
(+ 3 (* 3 (/ a b)))
(fma.f64 #s(literal 3 binary64) (/.f64 a b) #s(literal 3 binary64))
(+ 3 (* 3 (/ a b)))
(fma.f64 #s(literal 3 binary64) (/.f64 a b) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(+ 3 (* 3 (/ a b)))
(fma.f64 #s(literal 3 binary64) (/.f64 a b) #s(literal 3 binary64))
(+ 3 (* 3 (/ a b)))
(fma.f64 #s(literal 3 binary64) (/.f64 a b) #s(literal 3 binary64))
(+ 3 (* 3 (/ a b)))
(fma.f64 #s(literal 3 binary64) (/.f64 a b) #s(literal 3 binary64))

rewrite321.0ms (1.2%)

Memory

7.2MiB live, 515.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 948×	`lower-fma.f32`
4 944×	`lower-fma.f64`
4 166×	`lower-/.f32`
4 158×	`lower-/.f64`
3 626×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	153
0	64	153
1	274	153
2	2376	151
0	9688	143

Stop Event

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

Counts

10 → 543

Calls

Call 1

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

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

eval68.0ms (0.2%)

Memory: -1.2MiB live, 148.0MiB allocated
Compiler: Compiled 11 584 to 1 407 computations (87.9% saved)

prune62.0ms (0.2%)

Memory

-18.9MiB live, 143.5MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	419	1	420
Fresh	0	0	0
Picked	1	1	2
Done	1	4	5
Total	421	6	427

Accuracy

100.0%

Counts

427 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(.f64 #s(approx (/ eps (- (exp ( a (* eps 3))) 1)) (/.f64 #s(literal 1/3 binary64) a)) #s(approx (* (+ 1 (+ (exp (* a eps)) (exp (* a (+ eps eps))))) (/ (- (exp (* (+ a b) eps)) 1) (- (exp (* b eps)) 1))) (*.f64 #s(literal 3 binary64) (/.f64 (+.f64 a b) b))))
✓	40.3%	#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))
✓	60.3%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
✓	51.7%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
✓	46.2%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
✓	42.7%	#s(approx (* (/ eps (- (exp (* a (* eps 3))) 1)) (* (+ 1 (+ (exp (* a eps)) (exp (* a (+ eps eps))))) (/ (- (exp (* (+ a b) eps)) 1) (- (exp (* b eps)) 1)))) (/.f64 (fma.f64 a (fma.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (.f64 eps #s(literal 3 binary64)) (+.f64 (expm1.f64 (.f64 b eps)) (exp.f64 (.f64 b eps)))) (expm1.f64 (.f64 b eps))) (.f64 eps #s(literal -3/2 binary64))) #s(literal 1 binary64)) a))

Compiler

Compiled 281 to 130 computations (53.7% saved)

regimes14.0ms (0.1%)

Memory

38.0MiB live, 38.0MiB allocated

Counts

10 → 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)))
(.f64 #s(approx (/ eps (- (exp ( a (* eps 3))) 1)) (/.f64 #s(literal 1/3 binary64) a)) #s(approx (* (+ 1 (+ (exp (* a eps)) (exp (* a (+ eps eps))))) (/ (- (exp (* (+ a b) eps)) 1) (- (exp (* b eps)) 1))) (*.f64 #s(literal 3 binary64) (/.f64 (+.f64 a b) b))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 eps (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 b a) (+.f64 b a)) (.f64 b a)) (/.f64 (.f64 (+.f64 b a) (.f64 #s(literal -1/2 binary64) (fma.f64 b (.f64 b a) (.f64 b (.f64 a a))))) (.f64 b (.f64 b (.f64 a a))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
(.f64 (/.f64 eps (expm1.f64 (.f64 a (.f64 eps #s(literal 3 binary64))))) #s(approx ( (+ 1 (+ (exp (* a eps)) (exp (* a (+ eps eps))))) (/ (- (exp (* (+ a b) eps)) 1) (- (exp (* b eps)) 1))) (*.f64 #s(literal 3 binary64) (/.f64 (+.f64 a b) 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 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))))
#s(approx (* (/ eps (- (exp (* a (* eps 3))) 1)) (* (+ 1 (+ (exp (* a eps)) (exp (* a (+ eps eps))))) (/ (- (exp (* (+ a b) eps)) 1) (- (exp (* b eps)) 1)))) (/.f64 (fma.f64 a (fma.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (.f64 eps #s(literal 3 binary64)) (+.f64 (expm1.f64 (.f64 b eps)) (exp.f64 (.f64 b eps)))) (expm1.f64 (.f64 b eps))) (.f64 eps #s(literal -3/2 binary64))) #s(literal 1 binary64)) a))
(.f64 (/.f64 eps (expm1.f64 (.f64 a (.f64 eps #s(literal 3 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a eps)) (exp.f64 (.f64 a (+.f64 eps eps))))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps)))))

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.3%	1	`a`
99.3%	1	`b`
99.3%	1	`eps`
99.3%	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)

regimes11.0ms (0%)

Memory

-21.5MiB live, 21.3MiB allocated

Counts

3 → 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))

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

Outputs

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

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

Calls

4 calls:

5.0ms	(/.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))))
2.0ms	eps
2.0ms	a
2.0ms	b

Results

Accuracy	Segments	Branch
82.6%	2	`a`
84.1%	3	`b`
72.5%	2	`eps`
60.3%	1	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes5.0ms (0%)

Memory

15.8MiB live, 15.8MiB 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	b
1.0ms	eps
1.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
46.2%	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))))`
46.2%	1	`eps`
46.2%	1	`b`
46.2%	1	`a`

Compiler

Compiled 39 to 26 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-7.476669280559788e-184	-2.5890932469511943e-195

Compiler

Compiled 30 to 19 computations (36.7% saved)

simplify9.0ms (0%)

Memory

-22.0MiB live, 16.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	140
1	51	140

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 a #s(literal -4784065733063811/9568131466127621947163770315237577352582483950433331955534014747297500715462012198465648064079848065788579276806882658480425438483841942548911565191978080929321047135323978360596199778018349602045952 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

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

(if (<=.f64 a #s(literal -4784065733063811/9568131466127621947163770315237577352582483950433331955534014747297500715462012198465648064079848065788579276806882658480425438483841942548911565191978080929321047135323978360596199778018349602045952 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))

soundness537.0ms (1.9%)

Memory

-15.8MiB live, 393.6MiB allocated

Rules

10 196×	`lower-fma.f64`
10 196×	`lower-fma.f32`
10 154×	`lower-fma.f64`
10 154×	`lower-fma.f32`
9 330×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	621	6684
1	1952	6416
2	7136	6416
0	8507	5619
0	336	2612
1	1079	2564
2	3419	2564
0	8500	2144
0	627	6782
1	1975	6650
2	7487	6648
0	8029	5807
0	17	44
0	30	44
1	108	44
2	766	44
0	8486	32

Stop Event

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

Compiler

Compiled 78 to 53 computations (32.1% saved)

preprocess63.0ms (0.2%)

Memory: 12.8MiB live, 129.8MiB allocated
Remove: (sort a b)
Compiler: Compiled 156 to 100 computations (35.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze162.0ms (0.6%)

sample18.7s (67.1%)

preprocess498.0ms (1.8%)

explain359.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify339.0ms (1.2%)

localize98.0ms (0.4%)

series21.0ms (0.1%)

simplify1.1s (4%)

rewrite377.0ms (1.4%)

eval48.0ms (0.2%)

prune61.0ms (0.2%)

simplify320.0ms (1.2%)

localize412.0ms (1.5%)

series69.0ms (0.2%)

simplify407.0ms (1.5%)

rewrite561.0ms (2%)

eval0.0ms (0%)

prune3.0ms (0%)

simplify544.0ms (2%)

localize133.0ms (0.5%)

series82.0ms (0.3%)

simplify444.0ms (1.6%)

rewrite406.0ms (1.5%)

eval290.0ms (1%)

prune326.0ms (1.2%)

simplify382.0ms (1.4%)

localize138.0ms (0.5%)

series35.0ms (0.1%)

simplify429.0ms (1.5%)

rewrite321.0ms (1.2%)

eval68.0ms (0.2%)

prune62.0ms (0.2%)

regimes14.0ms (0.1%)

regimes11.0ms (0%)

regimes5.0ms (0%)

bsearch0.0ms (0%)

simplify9.0ms (0%)

soundness537.0ms (1.9%)

preprocess63.0ms (0.2%)

end0.0ms (0%)

Profiling