Metrics for expq3 (problem 3.4.2)

analyze218.0ms (0.8%)

Memory

-56.0MiB live, 162.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 52 to 27 computations (48.1% saved)

sample19.1s (70%)

Memory

209.9MiB live, 23 287.5MiB allocated

Samples

12.7s	64 662×	0	invalid
1.6s	8 256×	0	valid

Precisions

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

ival-mult: 3.4s (32% of total)

const: 1.6s (14.5% of total)

ival-expm1: 1.4s (13.2% of total)

ival-fabs: 1.2s (11.5% of total)

ival-<=: 1.2s (11.1% of total)

ival-div: 701.0ms (6.5% of total)

ival-add: 500.0ms (4.7% of total)

ival-fmin: 414.0ms (3.9% of total)

ival-and: 215.0ms (2% of total)

exact: 53.0ms (0.5% of total)

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

Bogosity

preprocess506.0ms (1.9%)

Memory

0.0MiB live, 236.9MiB allocated

Algorithm

2×	egg-herbie

Rules

4 832×	`accelerator-lowering-fma.f32`
4 832×	`accelerator-lowering-fma.f64`
2 736×	`-lowering-.f32`
2 736×	`-lowering-.f64`
1 332×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	257
1	265	253
2	724	251
3	2180	248
4	7098	248
0	17	24
1	43	24
2	96	24
3	161	24
4	312	24
5	641	24
6	1245	24
7	3450	24
8	6179	24
9	7527	24
10	7834	24
11	7910	24
12	7940	24
0	8071	18

Stop Event

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

Calls

Call 1

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

Outputs

(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))

(fma.f64 eps (/.f64 (expm1.f64 (*.f64 eps (+.f64 a b))) (fma.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps b)) #s(literal 0 binary64))) #s(literal 0 binary64))

Call 2

Inputs
(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* (+ (neg a) b) eps)) 1)) (* (- (exp (* (neg a) eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* (+ a (neg b)) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* (neg b) eps)) 1)))
(/ (* (neg eps) (- (exp (* (+ a b) (neg eps))) 1)) (* (- (exp (* a (neg eps))) 1) (- (exp (* b (neg eps))) 1)))
(neg (/ (* eps (- (exp (* (+ (neg a) b) eps)) 1)) (* (- (exp (* (neg a) eps)) 1) (- (exp (* b eps)) 1))))
(neg (/ (* eps (- (exp (* (+ a (neg b)) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* (neg b) eps)) 1))))
(neg (/ (* (neg eps) (- (exp (* (+ a b) (neg eps))) 1)) (* (- (exp (* a (neg eps))) 1) (- (exp (* b (neg eps))) 1))))
(/ (* eps (- (exp (* (+ b a) eps)) 1)) (* (- (exp (* b eps)) 1) (- (exp (* a eps)) 1)))
(/ (* a (- (exp (* (+ eps b) a)) 1)) (* (- (exp (* eps a)) 1) (- (exp (* b a)) 1)))
(/ (* b (- (exp (* (+ a eps) b)) 1)) (* (- (exp (* a b)) 1) (- (exp (* eps b)) 1)))

Outputs
(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(* (+ (pow (exp eps) (+ a b)) -1) (/ (/ eps (+ (pow (exp eps) b) -1)) (+ (pow (exp a) eps) -1)))
(/ (* eps (- (exp (* (+ (neg a) b) eps)) 1)) (* (- (exp (* (neg a) eps)) 1) (- (exp (* b eps)) 1)))
(* (+ (pow (exp eps) (- b a)) -1) (/ (/ eps (+ (pow (exp eps) b) -1)) (+ (pow (exp a) (neg eps)) -1)))
(/ (* eps (- (exp (* (+ a (neg b)) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* (neg b) eps)) 1)))
(* eps (/ (+ (pow (exp eps) (- a b)) -1) (* (+ (pow (exp a) eps) -1) (+ (pow (exp eps) (neg b)) -1))))
(/ (* (neg eps) (- (exp (* (+ a b) (neg eps))) 1)) (* (- (exp (* a (neg eps))) 1) (- (exp (* b (neg eps))) 1)))
(/ (- eps (/ eps (pow (exp eps) (+ a b)))) (* (+ (pow (exp a) (neg eps)) -1) (+ (pow (exp eps) (neg b)) -1)))
(neg (/ (* eps (- (exp (* (+ (neg a) b) eps)) 1)) (* (- (exp (* (neg a) eps)) 1) (- (exp (* b eps)) 1))))
(* (+ (pow (exp eps) (- b a)) -1) (/ (/ eps (+ (pow (exp eps) b) -1)) (- 1 (pow (exp a) (neg eps)))))
(neg (/ (* eps (- (exp (* (+ a (neg b)) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* (neg b) eps)) 1))))
(* (+ (pow (exp eps) (- a b)) -1) (/ (/ eps (- 1 (pow (exp a) eps))) (+ (pow (exp eps) (neg b)) -1)))
(neg (/ (* (neg eps) (- (exp (* (+ a b) (neg eps))) 1)) (* (- (exp (* a (neg eps))) 1) (- (exp (* b (neg eps))) 1))))
(/ (- eps (/ eps (pow (exp eps) (+ a b)))) (* (+ (pow (exp a) (neg eps)) -1) (- 1 (pow (exp eps) (neg b)))))
(/ (* eps (- (exp (* (+ b a) eps)) 1)) (* (- (exp (* b eps)) 1) (- (exp (* a eps)) 1)))
(* (+ (pow (exp eps) (+ a b)) -1) (/ (/ eps (+ (pow (exp eps) b) -1)) (+ (pow (exp a) eps) -1)))
(/ (* a (- (exp (* (+ eps b) a)) 1)) (* (- (exp (* eps a)) 1) (- (exp (* b a)) 1)))
(/ (- (* a (pow (exp a) (+ eps b))) a) (* (+ (pow (exp a) eps) -1) (+ (pow (exp a) b) -1)))
(/ (* b (- (exp (* (+ a eps) b)) 1)) (* (- (exp (* a b)) 1) (- (exp (* eps b)) 1)))
(/ (- (* b (pow (exp b) (+ eps a))) b) (* (+ (pow (exp eps) b) -1) (+ (pow (exp a) b) -1)))

Symmetry

(sort a b)

explain1.0s (3.7%)

Memory

-4.2MiB live, 276.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
231	0	-	4	(-4.0332612526739883e-81 8.168558728755927e-78 6.091592612686857e-83)	`(/.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))))`
130	2	(-2.4921195726495273e-86 1.5973011845516002e-234 2.8647509751642773e-237)	0	-	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`
103	1	(-3.157586247876452e-129 -5.8732172095180124e-151 4.9594753903623695e-174)	0	-	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`
95	2	(-2.4921195726495273e-86 1.5973011845516002e-234 2.8647509751642773e-237)	0	-	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`
0	0	-	0	-	`(+.f64 a b)`
0	0	-	0	-	`(*.f64 b eps)`
0	0	-	0	-	`(exp.f64 (*.f64 a eps))`
0	0	-	0	-	`a`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(*.f64 a eps)`
0	0	-	0	-	`(exp.f64 (*.f64 (+.f64 a b) eps))`
0	0	-	0	-	`eps`
0	0	-	0	-	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`
0	0	-	0	-	`(.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))`
0	0	-	0	-	`(*.f64 (+.f64 a b) eps)`
0	0	-	0	-	`(exp.f64 (*.f64 b eps))`
0	0	-	0	-	`b`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`	u/u	211	0
↳	`(.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))`	underflow	211
↳	`(*.f64 (+.f64 a b) eps)`	underflow	124
↳	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`	underflow	124
↳	`(*.f64 b eps)`	underflow	152
↳	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	underflow	159
↳	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	underflow	152
↳	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`	underflow	227
↳	`(*.f64 a eps)`	underflow	159
`-.f64`	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`	cancellation	132	0
`-.f64`	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	cancellation	104	0
`-.f64`	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	cancellation	97	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	16	0
↳	`(*.f64 b eps)`	underflow	152
↳	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	underflow	159
↳	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	underflow	152
↳	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`	underflow	227
↳	`(*.f64 a eps)`	underflow	159

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	124
3	92
4	40

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

62.0ms

512×

valid

Compiler

Compiled 256 to 72 computations (71.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 15.0ms (36.9% of total)

ival-exp: 11.0ms (27.1% of total)

ival-expm1: 8.0ms (19.7% of total)

ival-div: 3.0ms (7.4% of total)

ival-add: 3.0ms (7.4% of total)

ival-true: 1.0ms (2.5% of total)

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB 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)

simplify228.0ms (0.8%)

Memory

-18.1MiB live, 296.5MiB 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×	`accelerator-lowering-fma.f32`
4 832×	`accelerator-lowering-fma.f64`
2 736×	`-lowering-.f32`
2 736×	`-lowering-.f64`
1 132×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	99
1	43	99
2	96	99
3	161	99
4	312	99
5	641	99
6	1245	99
7	3450	99
8	6179	99
9	7527	99
10	7834	99
11	7910	99
12	7940	99
0	8071	81

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize51.0ms (0.2%)

Memory

1.3MiB live, 78.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	66.2%	(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))
✓	accuracy	64.4%	(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))
✓	accuracy	54.5%	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))
✓	accuracy	13.7%	(/.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

31.0ms

256×

valid

Compiler

Compiled 101 to 19 computations (81.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 8.0ms (38.5% of total)

ival-exp: 5.0ms (24.1% of total)

ival-expm1: 4.0ms (19.3% of total)

ival-div: 2.0ms (9.6% of total)

ival-add: 1.0ms (4.8% of total)

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

exact: 0.0ms (0% of total)

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

series20.0ms (0.1%)

Memory

32.6MiB live, 32.5MiB allocated

Counts

4 → 120

Calls

Call 1

Inputs
#<alt (- (exp (* (+ a b) eps)) 1)>
#<alt (- (exp (* a eps)) 1)>
#<alt (- (exp (* b eps)) 1)>
#<alt (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>

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	b	@	inf	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))

rewrite380.0ms (1.4%)

Memory

12.0MiB live, 643.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 838×	`-lowering-.f32`
5 838×	`-lowering-.f64`
4 440×	`/-lowering-/.f32`
4 440×	`/-lowering-/.f64`
3 902×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	44
1	95	44
2	753	44
0	8473	32

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 364

Calls

Call 1

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

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

simplify443.0ms (1.6%)

Memory

-25.8MiB live, 902.9MiB allocated

Algorithm

1×	egg-herbie

Rules

9 330×	`accelerator-lowering-fma.f32`
9 330×	`accelerator-lowering-fma.f64`
7 346×	`-lowering-.f32`
7 346×	`-lowering-.f64`
4 214×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

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

eval73.0ms (0.3%)

Memory: 7.3MiB live, 120.5MiB allocated
Compiler: Compiled 18 453 to 1 554 computations (91.6% saved)

prune215.0ms (0.8%)

Memory

7.5MiB live, 129.7MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

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

Accuracy

98.3%

Counts

485 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	16.0%	(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)))
	38.4%	(/.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)
▶	40.4%	(/.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)
▶	57.5%	(/.f64 (+.f64 b a) (*.f64 b a))
▶	46.9%	(/.f64 #s(literal 1 binary64) b)
▶	52.3%	(/.f64 #s(literal 1 binary64) a)

Compiler

Compiled 226 to 128 computations (43.4% saved)

simplify429.0ms (1.6%)

Memory

20.6MiB live, 766.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

15 394×	`accelerator-lowering-fma.f32`
15 394×	`accelerator-lowering-fma.f64`
4 472×	`-lowering-.f32`
4 472×	`-lowering-.f64`
3 786×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	362
1	111	348
2	400	330
3	1946	306
4	4599	298
5	5656	274
6	6033	238
7	6156	234
8	6189	230
9	7042	230
0	8385	216

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (+ b a) (* b a))
(+ b a)
b
a
(* b a)
(/ 1 a)
1
a
(/ 1 b)
1
b
(+ (* eps (+ (* 1/2 (/ (* (+ b a) (+ b a)) (* b a))) (/ (* (+ b a) (* -1/2 (+ (* b (* b a)) (* b (* a a))))) (* b (* b (* a a)))))) (+ (/ 1 a) (/ 1 b)))
eps
(+ (* 1/2 (/ (* (+ b a) (+ b a)) (* b a))) (/ (* (+ b a) (* -1/2 (+ (* b (* b a)) (* b (* a a))))) (* b (* b (* a a)))))
1/2
(/ (* (+ b a) (+ b a)) (* b a))
(* (+ b a) (+ b a))
(+ b a)
b
a
(* b a)
(/ (* (+ b a) (* -1/2 (+ (* b (* b a)) (* b (* a a))))) (* b (* b (* a a))))
(* (+ b a) (* -1/2 (+ (* b (* b a)) (* b (* a a)))))
(* -1/2 (+ (* b (* b a)) (* b (* a a))))
-1/2
(+ (* b (* b a)) (* b (* a a)))
(* b (* a a))
(* a a)
(* b (* b (* a a)))
(+ (/ 1 a) (/ 1 b))
(/ 1 a)
1
(/ 1 b)
(/ (+ (* a (* eps (+ (/ (exp (* b eps)) (- (exp (* b eps)) 1)) -1/2))) 1) a)
(+ (* a (* eps (+ (/ (exp (* b eps)) (- (exp (* b eps)) 1)) -1/2))) 1)
a
(* eps (+ (/ (exp (* b eps)) (- (exp (* b eps)) 1)) -1/2))
eps
(+ (/ (exp (* b eps)) (- (exp (* b eps)) 1)) -1/2)
(/ (exp (* b eps)) (- (exp (* b eps)) 1))
(exp (* b eps))
(* b eps)
b
(- (exp (* b eps)) 1)
-1/2
1

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

localize381.0ms (1.4%)

Memory

10.7MiB live, 628.8MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))
✓	accuracy	99.8%	(/.f64 (fma.f64 a (.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 b eps))) #s(literal -1/2 binary64))) #s(literal 1 binary64)) a)
✓	accuracy	99.8%	(fma.f64 a (.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 b eps))) #s(literal -1/2 binary64))) #s(literal 1 binary64))
✓	accuracy	40.6%	(.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 b eps))) #s(literal -1/2 binary64)))
✓	accuracy	99.9%	(.f64 b (.f64 a a))
✓	accuracy	99.9%	(.f64 (+.f64 b a) (.f64 #s(literal -1/2 binary64) (fma.f64 b (.f64 b a) (.f64 b (*.f64 a a)))))
✓	accuracy	55.7%	(/.f64 (.f64 (+.f64 b a) (+.f64 b a)) (.f64 b a))
✓	accuracy	17.2%	(/.f64 (.f64 (+.f64 b a) (.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	57.5%	(/.f64 (+.f64 b a) (*.f64 b a))

Samples

294.0ms

256×

valid

Compiler

Compiled 313 to 37 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 220.0ms

ival-mult: 118.0ms (53.5% of total)

ival-div: 37.0ms (16.8% of total)

ival-add: 32.0ms (14.5% of total)

adjust: 24.0ms (10.9% of total)

ival-exp: 5.0ms (2.3% of total)

ival-expm1: 3.0ms (1.4% of total)

exact: 1.0ms (0.5% of total)

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

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

series87.0ms (0.3%)

Memory

15.4MiB live, 132.9MiB allocated

Counts

17 → 420

Calls

Call 1

Inputs
#<alt (/ (+ b a) (* b a))>
#<alt (+ b a)>
#<alt (* b a)>
#<alt (/ 1 a)>
#<alt (/ 1 b)>
#<alt (+ (* 1/2 (/ (* (+ b a) (+ b a)) (* b a))) (/ (* (+ b a) (* -1/2 (+ (* b (* b a)) (* b (* a a))))) (* b (* b (* a a)))))>
#<alt (/ (* (+ b a) (* -1/2 (+ (* b (* b a)) (* b (* a a))))) (* b (* b (* a a))))>
#<alt (+ (* b (* b a)) (* b (* a a)))>
#<alt (+ (* eps (+ (* 1/2 (/ (* (+ b a) (+ b a)) (* b a))) (/ (* (+ b a) (* -1/2 (+ (* b (* b a)) (* b (* a a))))) (* b (* b (* a a)))))) (+ (/ 1 a) (/ 1 b)))>
#<alt (/ (+ (* a (* eps (+ (/ (exp (* b eps)) (- (exp (* b eps)) 1)) -1/2))) 1) a)>
#<alt (+ (* a (* eps (+ (/ (exp (* b eps)) (- (exp (* b eps)) 1)) -1/2))) 1)>
#<alt (* eps (+ (/ (exp (* b eps)) (- (exp (* b eps)) 1)) -1/2))>
#<alt (+ (/ (exp (* b eps)) (- (exp (* b eps)) 1)) -1/2)>
#<alt (/ (* (+ b a) (+ b a)) (* b a))>
#<alt (* (+ b a) (* -1/2 (+ (* b (* b a)) (* b (* a a)))))>
#<alt (* b (* a a))>
#<alt (/ (exp (* b eps)) (- (exp (* b eps)) 1))>

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

Calls

105 calls:

Time	Variable		Point	Expression
20.0ms	a	@	-inf	(+ (* 1/2 (/ (* (+ b a) (+ b a)) (* b a))) (/ (* (+ b a) (* -1/2 (+ (* b (* b a)) (* b (* a a))))) (* b (* b (* a a)))))
10.0ms	a	@	inf	(+ (* 1/2 (/ (* (+ b a) (+ b a)) (* b a))) (/ (* (+ b a) (* -1/2 (+ (* b (* b a)) (* b (* a a))))) (* b (* b (* a a)))))
8.0ms	b	@	0	(+ (* 1/2 (/ (* (+ b a) (+ b a)) (* b a))) (/ (* (+ b a) (* -1/2 (+ (* b (* b a)) (* b (* a a))))) (* b (* b (* a a)))))
3.0ms	b	@	inf	(+ (* 1/2 (/ (* (+ b a) (+ b a)) (* b a))) (/ (* (+ b a) (* -1/2 (+ (* b (* b a)) (* b (* a a))))) (* b (* b (* a a)))))
3.0ms	b	@	-inf	(/ (+ (* a (* eps (+ (/ (exp (* b eps)) (- (exp (* b eps)) 1)) -1/2))) 1) a)

rewrite444.0ms (1.6%)

Memory

-27.7MiB live, 757.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 096×	`accelerator-lowering-fma.f32`
5 096×	`accelerator-lowering-fma.f64`
4 436×	`/-lowering-/.f32`
4 436×	`/-lowering-/.f64`
4 382×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	239
1	256	229
2	2765	223
0	9357	208

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 677

Calls

Call 1

Inputs
(/ (+ b a) (* b a))
(+ b a)
(* b a)
(/ 1 a)
(/ 1 b)
(+ (* 1/2 (/ (* (+ b a) (+ b a)) (* b a))) (/ (* (+ b a) (* -1/2 (+ (* b (* b a)) (* b (* a a))))) (* b (* b (* a a)))))
(/ (* (+ b a) (* -1/2 (+ (* b (* b a)) (* b (* a a))))) (* b (* b (* a a))))
(+ (* b (* b a)) (* b (* a a)))
(+ (* eps (+ (* 1/2 (/ (* (+ b a) (+ b a)) (* b a))) (/ (* (+ b a) (* -1/2 (+ (* b (* b a)) (* b (* a a))))) (* b (* b (* a a)))))) (+ (/ 1 a) (/ 1 b)))
(/ (+ (* a (* eps (+ (/ (exp (* b eps)) (- (exp (* b eps)) 1)) -1/2))) 1) a)
(+ (* a (* eps (+ (/ (exp (* b eps)) (- (exp (* b eps)) 1)) -1/2))) 1)
(* eps (+ (/ (exp (* b eps)) (- (exp (* b eps)) 1)) -1/2))
(+ (/ (exp (* b eps)) (- (exp (* b eps)) 1)) -1/2)
(/ (* (+ b a) (+ b a)) (* b a))
(* (+ b a) (* -1/2 (+ (* b (* b a)) (* b (* a a)))))
(* b (* a a))
(/ (exp (* b eps)) (- (exp (* b eps)) 1))

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

simplify527.0ms (1.9%)

Memory

32.8MiB live, 849.0MiB allocated

Algorithm

1×	egg-herbie

Rules

13 232×	`accelerator-lowering-fma.f32`
13 232×	`accelerator-lowering-fma.f64`
5 920×	`-lowering-.f32`
5 920×	`-lowering-.f64`
4 510×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

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

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

eval250.0ms (0.9%)

Memory: 11.3MiB live, 456.5MiB allocated
Compiler: Compiled 56 995 to 3 395 computations (94% saved)

prune153.0ms (0.6%)

Memory

31.0MiB live, 376.8MiB allocated

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	1 386	5	1 391
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	1 389	8	1 397

Accuracy

100.0%

Counts

1 397 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	57.5%	(/.f64 (+.f64 b a) (*.f64 b a))
▶	99.8%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
▶	31.4%	(/.f64 b (*.f64 b a))
▶	27.0%	(/.f64 a (*.f64 b a))
✓	46.9%	(/.f64 #s(literal 1 binary64) b)
✓	52.3%	(/.f64 #s(literal 1 binary64) a)
▶	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
▶	54.3%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a))

Compiler

Compiled 118 to 80 computations (32.2% saved)

simplify637.0ms (2.3%)

Memory

-53.2MiB live, 992.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 a b)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 a b))
✓	cost-diff	384	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
✓	cost-diff	0	(+.f64 b a)
✓	cost-diff	0	(*.f64 b a)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 b a))
✓	cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a))
✓	cost-diff	0	(*.f64 b a)
✓	cost-diff	320	(/.f64 b (*.f64 b a))
✓	cost-diff	0	(*.f64 b a)
✓	cost-diff	320	(/.f64 a (*.f64 b a))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) a)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) b)
✓	cost-diff	384	(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))

Rules

24 980×	`accelerator-lowering-fma.f32`
24 980×	`accelerator-lowering-fma.f64`
5 158×	`-lowering-.f32`
5 158×	`-lowering-.f64`
4 604×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	71
1	34	71
2	75	71
3	149	71
4	402	71
5	2143	71
6	3671	71
7	4094	71
8	4393	71
9	4658	71
10	4658	71
0	8407	71

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize72.0ms (0.3%)

Memory

-8.1MiB live, 139.5MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 a b)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 a b))
✓	accuracy	99.8%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
✓	accuracy	100.0%	(+.f64 b a)
✓	accuracy	100.0%	(*.f64 b a)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (*.f64 b a))
✓	accuracy	54.4%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a))
✓	accuracy	100.0%	(*.f64 b a)
✓	accuracy	57.1%	(/.f64 b (*.f64 b a))
✓	accuracy	100.0%	(*.f64 b a)
✓	accuracy	57.1%	(/.f64 a (*.f64 b a))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) b)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) a)
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))

Samples

36.0ms

256×

valid

Compiler

Compiled 79 to 18 computations (77.2% saved)

Precisions

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

ival-div: 12.0ms (54.8% of total)

ival-add: 7.0ms (32% of total)

ival-mult: 3.0ms (13.7% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0%)

Memory

16.5MiB live, 16.5MiB allocated

Counts

12 → 264

Calls

Call 1

Inputs
#<alt (+ (/ 1 b) (/ 1 a))>
#<alt (/ 1 b)>
#<alt (/ 1 a)>
#<alt (/ a (* b a))>
#<alt (* b a)>
#<alt (/ b (* b a))>
#<alt (* (/ 1 (* b a)) (+ b a))>
#<alt (/ 1 (* b a))>
#<alt (+ b a)>
#<alt (/ (+ 1 (/ a b)) a)>
#<alt (+ 1 (/ a b))>
#<alt (/ a b)>

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 (/ 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 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 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 (* 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 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 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 (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a 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 (/ 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 (/ 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>
#<alt (+ 1 (/ a b))>
#<alt (+ 1 (/ a b))>
#<alt (+ 1 (/ a b))>
#<alt (/ a b)>
#<alt (* a (+ (/ 1 a) (/ 1 b)))>
#<alt (* a (+ (/ 1 a) (/ 1 b)))>
#<alt (* a (+ (/ 1 a) (/ 1 b)))>
#<alt (/ a b)>
#<alt (* a (+ (/ 1 a) (/ 1 b)))>
#<alt (* a (+ (/ 1 a) (/ 1 b)))>
#<alt (* a (+ (/ 1 a) (/ 1 b)))>
#<alt (/ a b)>
#<alt (/ (+ a b) b)>
#<alt (/ (+ a b) b)>
#<alt (/ (+ a b) b)>
#<alt 1>
#<alt (+ 1 (/ a b))>
#<alt (+ 1 (/ a b))>
#<alt (+ 1 (/ a b))>
#<alt 1>
#<alt (+ 1 (/ a b))>
#<alt (+ 1 (/ a b))>
#<alt (+ 1 (/ 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 (/ a b)>

Calls

66 calls:

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

rewrite373.0ms (1.4%)

Memory

-16.8MiB live, 786.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 536×	`accelerator-lowering-fma.f32`
6 536×	`accelerator-lowering-fma.f64`
4 046×	`/-lowering-/.f32`
4 046×	`/-lowering-/.f64`
3 422×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	52
1	109	52
2	1094	52
0	9137	52

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 1 136

Calls

Call 1

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

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

simplify507.0ms (1.9%)

Memory

12.9MiB live, 338.4MiB allocated

Algorithm

1×	egg-herbie

Rules

2 716×	`accelerator-lowering-fma.f32`
2 716×	`accelerator-lowering-fma.f64`
2 574×	`-lowering-.f32`
2 574×	`-lowering-.f64`
2 002×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	1074
1	76	1074
2	148	1074
3	454	1074
4	2152	1074
5	4063	1074
6	5337	1074
7	6211	1074
8	7266	1074
0	8019	1074

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

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

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

eval218.0ms (0.8%)

Memory: 18.5MiB live, 384.4MiB allocated
Compiler: Compiled 21 552 to 1 815 computations (91.6% saved)

prune166.0ms (0.6%)

Memory

-12.2MiB live, 328.3MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	1 511	1	1 512
Fresh	0	0	0
Picked	0	5	5
Done	0	3	3
Total	1 511	9	1 520

Accuracy

100.0%

Counts

1 520 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.1%	(/.f64 (/.f64 b a) b)
✓	57.5%	(/.f64 (+.f64 b a) (*.f64 b a))
✓	99.8%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
✓	31.4%	(/.f64 b (*.f64 b a))
✓	27.0%	(/.f64 a (*.f64 b a))
✓	46.9%	(/.f64 #s(literal 1 binary64) b)
✓	52.3%	(/.f64 #s(literal 1 binary64) a)
✓	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
✓	54.3%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a))

Compiler

Compiled 78 to 53 computations (32.1% saved)

simplify3.0ms (0%)

Memory

7.8MiB live, 7.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 b a)
✓	cost-diff	704	(/.f64 (/.f64 b a) b)

Rules

8×	`/-lowering-/.f32`
8×	`/-lowering-/.f64`
4×	`-lowering-.f32`
4×	`-lowering-.f64`
2×	`*-inverses`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	4	10
1	6	10
2	9	8
3	10	8
4	12	8
0	12	8

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (/ b a) b)
(/ b a)
b
a

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

localize15.0ms (0.1%)

Memory

-4.1MiB live, 35.4MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 b a)
✓	accuracy	99.6%	(/.f64 (/.f64 b a) b)

Samples

11.0ms

256×

valid

Compiler

Compiled 12 to 7 computations (41.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 4.0ms (94.8% of total)

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

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

series1.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated

Counts

2 → 48

Calls

Call 1

Inputs
#<alt (/ (/ b a) b)>
#<alt (/ b a)>

Outputs
#<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 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 (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>

Calls

12 calls:

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

rewrite115.0ms (0.4%)

Memory

19.7MiB live, 212.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 518×	`-lowering-.f32`
1 518×	`-lowering-.f64`
1 264×	`/-lowering-/.f32`
1 264×	`/-lowering-/.f64`
464×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	4	8
1	20	8
2	122	6
3	711	6
0	3128	6

Stop Event

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

Counts

2 → 219

Calls

Call 1

Inputs
(/ (/ b a) b)
(/ b a)

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

simplify9.0ms (0%)

Memory

-20.3MiB live, 17.4MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`/-lowering-/.f32`
4×	`/-lowering-/.f64`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	144
1	7	144
0	7	144

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 48

Calls

Call 1

Inputs
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)

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

eval44.0ms (0.2%)

Memory: 25.5MiB live, 62.5MiB allocated
Compiler: Compiled 2 929 to 512 computations (82.5% saved)

prune67.0ms (0.2%)

Memory

-34.6MiB live, 82.3MiB allocated

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	267	0	267
Fresh	0	0	0
Picked	0	1	1
Done	0	8	8
Total	267	9	276

Accuracy

100.0%

Counts

276 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.1%	(/.f64 (/.f64 b a) b)
✓	57.5%	(/.f64 (+.f64 b a) (*.f64 b a))
✓	99.8%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
✓	31.4%	(/.f64 b (*.f64 b a))
✓	27.0%	(/.f64 a (*.f64 b a))
✓	46.9%	(/.f64 #s(literal 1 binary64) b)
✓	52.3%	(/.f64 #s(literal 1 binary64) a)
✓	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
✓	54.3%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a))

Compiler

Compiled 238 to 113 computations (52.5% saved)

regimes22.0ms (0.1%)

Memory

-28.7MiB live, 46.4MiB allocated

Counts

13 → 1

Calls

Call 1

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

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

Calls

4 calls:

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))))
4.0ms	eps
4.0ms	a
4.0ms	b

Results

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

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes15.0ms (0.1%)

Memory

5.3MiB live, 40.8MiB allocated

Counts

7 → 3

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
85.0%	3	`a`
82.5%	2	`b`
76.0%	5	`eps`
57.5%	1	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes5.0ms (0%)

Memory

13.9MiB live, 13.9MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	b
2.0ms	a

Results

Accuracy	Segments	Branch
82.5%	2	`b`
81.0%	2	`a`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes5.0ms (0%)

Memory

18.0MiB live, 18.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
52.3%	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))))`
52.3%	1	`eps`
52.3%	1	`a`
52.3%	1	`b`

Compiler

Compiled 39 to 26 computations (33.3% saved)

bsearch32.0ms (0.1%)

Memory

-12.7MiB live, 66.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	-1.846923045675634e-183	-1.7831528665650653e-184
17.0ms	-3.5947135980758067e-81	-2.3092482962072113e-82

Samples

24.0ms

192×

valid

Compiler

Compiled 222 to 169 computations (23.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-expm1: 9.0ms (48.1% of total)

ival-mult: 7.0ms (37.4% of total)

ival-div: 1.0ms (5.3% of total)

ival-add: 1.0ms (5.3% of total)

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

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

bsearch13.0ms (0%)

Memory

-2.8MiB live, 36.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	8.899516206426716e-179	5.838860538923004e-178

Samples

8.0ms

96×

valid

Compiler

Compiled 114 to 91 computations (20.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 3.0ms (54.6% of total)

ival-expm1: 2.0ms (36.4% of total)

ival-div: 1.0ms (18.2% of total)

ival-add: 1.0ms (18.2% of total)

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

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

simplify7.0ms (0%)

Memory

23.4MiB live, 23.4MiB 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	18	41
1	24	41

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(if (<=.f64 a #s(literal -5639005774831203/8543948143683640329580086824678208458410818089426611079788166431288878903122562200091848347746304 binary64)) (/.f64 (+.f64 b a) (*.f64 b a)) (if (<=.f64 a #s(literal -2152829579878715/1196016433265952743395471289404697169072810493804166494441751843412187589432751524808206008009981008223572409600860332310053179810480242818613945648997260116165130891915497295074524972252293700255744 binary64)) (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))
(if (<=.f64 b #s(literal 245231183197193/1140610154405548804660292901425072831223307126812139982644798129474818791802169346626478202829342849944660577393398601827672176180343859499563165329930553547062998668590066237520718548061650944 binary64)) (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal 1 binary64) a)

Outputs
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(if (<=.f64 a #s(literal -5639005774831203/8543948143683640329580086824678208458410818089426611079788166431288878903122562200091848347746304 binary64)) (/.f64 (+.f64 b a) (*.f64 b a)) (if (<=.f64 a #s(literal -2152829579878715/1196016433265952743395471289404697169072810493804166494441751843412187589432751524808206008009981008223572409600860332310053179810480242818613945648997260116165130891915497295074524972252293700255744 binary64)) (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))
(if (<=.f64 b #s(literal 245231183197193/1140610154405548804660292901425072831223307126812139982644798129474818791802169346626478202829342849944660577393398601827672176180343859499563165329930553547062998668590066237520718548061650944 binary64)) (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal 1 binary64) a)

soundness355.0ms (1.3%)

Memory

-27.7MiB live, 328.3MiB allocated

Rules

9 330×	`accelerator-lowering-fma.f32`
9 330×	`accelerator-lowering-fma.f64`
7 346×	`-lowering-.f32`
7 346×	`-lowering-.f64`
5 096×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	336	2612
1	1079	2564
2	3419	2564
0	8500	2144
0	35	239
1	256	229
2	2765	223
0	9357	208

Stop Event

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

Compiler

Compiled 104 to 63 computations (39.4% saved)

preprocess86.0ms (0.3%)

Memory: -13.2MiB live, 123.8MiB allocated
Remove: (sort a b)
Compiler: Compiled 182 to 100 computations (45.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze218.0ms (0.8%)

sample19.1s (70%)

preprocess506.0ms (1.9%)

explain1.0s (3.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify228.0ms (0.8%)

localize51.0ms (0.2%)

series20.0ms (0.1%)

rewrite380.0ms (1.4%)

simplify443.0ms (1.6%)

eval73.0ms (0.3%)

prune215.0ms (0.8%)

simplify429.0ms (1.6%)

localize381.0ms (1.4%)

series87.0ms (0.3%)

rewrite444.0ms (1.6%)

simplify527.0ms (1.9%)

eval250.0ms (0.9%)

prune153.0ms (0.6%)

simplify637.0ms (2.3%)

localize72.0ms (0.3%)

series7.0ms (0%)

rewrite373.0ms (1.4%)

simplify507.0ms (1.9%)

eval218.0ms (0.8%)

prune166.0ms (0.6%)

simplify3.0ms (0%)

localize15.0ms (0.1%)

series1.0ms (0%)

rewrite115.0ms (0.4%)

simplify9.0ms (0%)

eval44.0ms (0.2%)

prune67.0ms (0.2%)

regimes22.0ms (0.1%)

regimes15.0ms (0.1%)

regimes5.0ms (0%)

regimes5.0ms (0%)

bsearch32.0ms (0.1%)

bsearch13.0ms (0%)

simplify7.0ms (0%)

soundness355.0ms (1.3%)

preprocess86.0ms (0.3%)

end0.0ms (0%)

Profiling