Metrics for expq3 (problem 3.4.2)

analyze267.0ms (1.1%)

Memory

-44.5MiB live, 180.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 52 to 27 computations (48.1% saved)

sample18.5s (72.9%)

Memory

130.5MiB live, 24 710.5MiB allocated

Samples

12.7s	64 318×	0	invalid
1.8s	8 256×	0	valid

Precisions

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

ival-mult: 3.2s (29.9% of total)

const: 2.1s (19.4% of total)

ival-expm1: 1.5s (14% of total)

ival-fabs: 1.1s (10.3% of total)

ival-<=: 839.0ms (7.8% of total)

ival-div: 634.0ms (5.9% of total)

ival-add: 610.0ms (5.7% of total)

ival-fmin: 449.0ms (4.2% of total)

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

exact: 51.0ms (0.5% of total)

ival-assert: 29.0ms (0.3% of total)

Bogosity

preprocess277.0ms (1.1%)

Memory

11.3MiB live, 414.5MiB 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)))

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

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)

explain253.0ms (1%)

Memory

-3.9MiB live, 498.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
242	0	-	3	(7.566481447026095e-99 6.30556912951083e-17 2.000764706103117e-101)	`(/.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))))`
146	0	-	0	-	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`
116	0	-	0	-	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`
109	1	(-1.9837963419166407e-19 -1.1518507712851906e-161 2.2129558108121056e-162)	0	-	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`
0	0	-	0	-	`(+.f64 a b)`
0	0	-	0	-	`(*.f64 b eps)`
0	0	-	0	-	`(exp.f64 (*.f64 a eps))`
0	0	-	0	-	`a`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(*.f64 a eps)`
0	0	-	0	-	`(exp.f64 (*.f64 (+.f64 a b) eps))`
0	0	-	0	-	`eps`
0	0	-	0	-	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`
0	0	-	0	-	`(.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))`
0	0	-	0	-	`(*.f64 (+.f64 a b) eps)`
0	0	-	0	-	`(exp.f64 (*.f64 b eps))`
0	0	-	0	-	`b`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`	u/u	212	0
↳	`(.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))`	underflow	212
↳	`(*.f64 (+.f64 a b) eps)`	underflow	110
↳	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`	underflow	110
↳	`(*.f64 b eps)`	underflow	146
↳	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	underflow	140
↳	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	underflow	146
↳	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`	underflow	239
↳	`(*.f64 a eps)`	underflow	140
`-.f64`	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`	cancellation	146	0
`-.f64`	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	cancellation	116	0
`-.f64`	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	cancellation	110	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	27	0
↳	`(*.f64 b eps)`	underflow	146
↳	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	underflow	140
↳	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	underflow	146
↳	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`	underflow	239
↳	`(*.f64 a eps)`	underflow	140

Confusion

	Predicted +	Predicted -
+	256	0
-	0	0

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
1	110
3	83
4	63

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

81.0ms

512×

valid

Compiler

Compiled 256 to 72 computations (71.9% saved)

Precisions

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

ival-mult: 17.0ms (39.3% of total)

ival-exp: 10.0ms (23.1% of total)

ival-expm1: 9.0ms (20.8% of total)

ival-div: 3.0ms (6.9% of total)

ival-add: 3.0ms (6.9% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 1.0MiB live, 1.0MiB allocated
Compiler: Compiled 21 to 13 computations (38.1% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	19.9%	(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b))))

Compiler

Compiled 21 to 13 computations (38.1% saved)

simplify245.0ms (1%)

Memory

-7.9MiB live, 307.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 a b)
✓	cost-diff	(*.f64 eps (+.f64 a b))
✓	cost-diff	(expm1.f64 (*.f64 eps (+.f64 a b)))
✓	cost-diff	(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b))))

Rules

4 932×	`accelerator-lowering-fma.f32`
4 932×	`accelerator-lowering-fma.f64`
2 742×	`-lowering-.f32`
2 742×	`-lowering-.f64`
1 618×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	84
1	39	84
2	72	84
3	157	84
4	291	84
5	539	84
6	1024	84
7	3236	84
8	5522	84
9	6970	84
10	7450	84
11	7587	84
12	7617	84
13	7869	84
14	7969	84
0	8005	66

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

Outputs
(* (- (exp (* eps (+ a b))) 1) (/ (/ eps (- (exp (* eps a)) 1)) (- (exp (* eps b)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 eps (expm1.f64 (.f64 eps b)))) (expm1.f64 (.f64 eps a)))
(- (exp (* eps (+ a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 a b)))
(* eps (+ a b))
(*.f64 eps (+.f64 a b))
eps
(+ a b)
(+.f64 a b)
a
b
(/ (/ eps (- (exp (* eps a)) 1)) (- (exp (* eps b)) 1))
(/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b)))
(/ eps (- (exp (* eps a)) 1))
(/.f64 eps (expm1.f64 (*.f64 eps a)))
(- (exp (* eps a)) 1)
(expm1.f64 (*.f64 eps a))
(* eps a)
(*.f64 eps a)
(- (exp (* eps b)) 1)
(expm1.f64 (*.f64 eps b))
(* eps b)
(*.f64 eps b)

localize38.0ms (0.1%)

Memory

28.8MiB live, 67.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 eps (+.f64 a b))
✓	accuracy	99.9%	(/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b)))
✓	accuracy	46.4%	(/.f64 eps (expm1.f64 (*.f64 eps a)))
✓	accuracy	21.4%	(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b))))

Samples

25.0ms

256×

valid

Compiler

Compiled 68 to 15 computations (77.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 6.0ms (41% of total)

ival-expm1: 4.0ms (27.3% of total)

ival-div: 3.0ms (20.5% of total)

ival-add: 1.0ms (6.8% of total)

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

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

series39.0ms (0.2%)

Memory

-20.0MiB live, 59.1MiB allocated

Counts

6 → 192

Calls

Call 1

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

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

Calls

48 calls:

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

rewrite358.0ms (1.4%)

Memory

-5.8MiB live, 477.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 602×	`-lowering-.f32`
5 602×	`-lowering-.f64`
5 058×	`accelerator-lowering-fma.f32`
5 058×	`accelerator-lowering-fma.f64`
4 800×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	63
1	98	63
2	858	63
0	8637	49

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 596

Calls

Call 1

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

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

simplify408.0ms (1.6%)

Memory

33.7MiB live, 539.7MiB allocated

Algorithm

1×	egg-herbie

Rules

7 408×	`accelerator-lowering-fma.f32`
7 408×	`accelerator-lowering-fma.f64`
7 176×	`-lowering-.f32`
7 176×	`-lowering-.f64`
2 672×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	455	3662
1	1454	3594
2	5252	3588
0	8305	3019

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

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

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

eval88.0ms (0.3%)

Memory: 16.2MiB live, 167.0MiB allocated
Compiler: Compiled 25 615 to 2 283 computations (91.1% saved)

prune108.0ms (0.4%)

Memory

-6.4MiB live, 193.9MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	782	6	788
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	783	6	789

Accuracy

100.0%

Counts

789 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.f64 (/.f64 (+.f64 a b) a) b)
	31.5%	(/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))) (/.f64 (expm1.f64 (*.f64 eps a)) eps))
▶	52.8%	(/.f64 #s(literal 1 binary64) b)
▶	47.4%	(/.f64 #s(literal 1 binary64) a)
▶	19.9%	(.f64 (.f64 (+.f64 a b) eps) (/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b))))
▶	19.9%	(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a b)) eps))

Compiler

Compiled 160 to 104 computations (35% saved)

simplify278.0ms (1.1%)

Memory

-7.1MiB live, 320.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b)))
✓	cost-diff	0	(+.f64 a b)
✓	cost-diff	0	(*.f64 (+.f64 a b) eps)
✓	cost-diff	0	(.f64 (.f64 (+.f64 a b) eps) (/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b))))
✓	cost-diff	0	(+.f64 a b)
✓	cost-diff	0	(*.f64 eps (+.f64 a b))
✓	cost-diff	0	(expm1.f64 (*.f64 eps (+.f64 a b)))
✓	cost-diff	128	(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a b)) eps))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) b)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) a)
✓	cost-diff	0	(+.f64 a b)
✓	cost-diff	0	(/.f64 (+.f64 a b) a)
✓	cost-diff	0	(/.f64 (/.f64 (+.f64 a b) a) b)

Rules

5 528×	`accelerator-lowering-fma.f32`
5 528×	`accelerator-lowering-fma.f64`
4 196×	`-lowering-.f32`
4 196×	`-lowering-.f64`
2 252×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	151
1	59	151
2	130	149
3	353	149
4	945	149
5	2022	149
6	2543	149
7	3912	149
8	5036	149
9	7125	149
0	8351	131

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize75.0ms (0.3%)

Memory

-2.9MiB live, 117.8MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 (+.f64 a b) eps)
✓	accuracy	99.9%	(/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b)))
✓	accuracy	46.4%	(/.f64 eps (expm1.f64 (*.f64 eps a)))
✓	accuracy	21.4%	(.f64 (.f64 (+.f64 a b) eps) (/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b))))
✓	accuracy	100.0%	(*.f64 eps (+.f64 a b))
✓	accuracy	99.9%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a b)) eps)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (*.f64 a b))
✓	accuracy	21.4%	(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a b)) eps))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) b)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) a)
✓	accuracy	100.0%	(+.f64 a b)
✓	accuracy	100.0%	(/.f64 (+.f64 a b) a)
✓	accuracy	99.8%	(/.f64 (/.f64 (+.f64 a b) a) b)

Samples

46.0ms

256×

valid

Compiler

Compiled 135 to 25 computations (81.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-div: 13.0ms (41.8% of total)

ival-mult: 12.0ms (38.6% of total)

ival-expm1: 4.0ms (12.9% of total)

ival-add: 2.0ms (6.4% of total)

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

exact: 0.0ms (0% of total)

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

series46.0ms (0.2%)

Memory

-19.3MiB live, 59.8MiB allocated

Counts

14 → 396

Calls

Call 1

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

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

Calls

99 calls:

Time	Variable		Point	Expression
8.0ms	a	@	0	(* (* (+ a b) eps) (/ (/ eps (- (exp (* eps a)) 1)) (- (exp (* eps b)) 1)))
4.0ms	b	@	0	(* (- (exp (* eps (+ a b))) 1) (/ (/ 1 (* a b)) eps))
1.0ms	b	@	-inf	(* (- (exp (* eps (+ a b))) 1) (/ (/ 1 (* a b)) eps))
1.0ms	eps	@	0	(* (* (+ a b) eps) (/ (/ eps (- (exp (* eps a)) 1)) (- (exp (* eps b)) 1)))
1.0ms	a	@	0	(/ (/ (+ a b) a) b)

rewrite425.0ms (1.7%)

Memory

27.1MiB live, 698.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 428×	`/-lowering-/.f32`
4 428×	`/-lowering-/.f64`
4 160×	`-lowering-.f32`
4 160×	`-lowering-.f64`
3 552×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	111
1	151	109
2	1236	109
0	8327	95

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 864

Calls

Call 1

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

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

simplify524.0ms (2.1%)

Memory

29.1MiB live, 883.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 378×	`accelerator-lowering-fma.f32`
7 378×	`accelerator-lowering-fma.f64`
7 050×	`-lowering-.f32`
7 050×	`-lowering-.f64`
3 108×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	560	5356
1	1908	5116
2	7394	5080
0	8056	4440

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

Calls

Call 1

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

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

eval288.0ms (1.1%)

Memory: -0.3MiB live, 420.8MiB allocated
Compiler: Compiled 32 365 to 3 114 computations (90.4% saved)

prune160.0ms (0.6%)

Memory

12.5MiB live, 419.4MiB allocated

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	1 429	3	1 432
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	1 432	6	1 438

Accuracy

100.0%

Counts

1 438 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(/.f64 (/.f64 (+.f64 a b) a) b)
▶	47.2%	(/.f64 (/.f64 b a) b)
▶	99.8%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
✓	52.8%	(/.f64 #s(literal 1 binary64) b)
✓	47.4%	(/.f64 #s(literal 1 binary64) a)
▶	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))

Compiler

Compiled 50 to 35 computations (30% saved)

simplify4.0ms (0%)

Memory

9.2MiB live, 9.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 b a)
✓	cost-diff	128	(/.f64 (/.f64 b a) b)
✓	cost-diff	0	(/.f64 a b)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 a b))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) b)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) a)
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))

Rules

14×	`/-lowering-/.f32`
14×	`/-lowering-/.f64`
8×	`+-lowering-+.f64`
8×	`+-lowering-+.f32`
4×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	17	42
2	20	42
3	20	42
0	20	42

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize56.0ms (0.2%)

Memory

-24.6MiB live, 92.6MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 b a)
✓	accuracy	99.6%	(/.f64 (/.f64 b a) b)
✓	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 #s(literal 1 binary64) b)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) a)
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))

Samples

24.0ms

256×

valid

Compiler

Compiled 46 to 14 computations (69.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-div: 10.0ms (78% of total)

ival-add: 2.0ms (15.6% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0%)

Memory

11.1MiB live, 11.1MiB allocated

Counts

8 → 168

Calls

Call 1

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

Outputs
#<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 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 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)>
#<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

42 calls:

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

rewrite422.0ms (1.7%)

Memory

-26.4MiB live, 615.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 988×	`accelerator-lowering-fma.f32`
4 988×	`accelerator-lowering-fma.f64`
3 558×	`-lowering-.f32`
3 558×	`-lowering-.f64`
3 206×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	77	34
2	809	34
0	8313	34

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 584

Calls

Call 1

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

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

simplify390.0ms (1.5%)

Memory

-26.8MiB live, 537.7MiB allocated

Algorithm

1×	egg-herbie

Rules

10 126×	`accelerator-lowering-fma.f32`
10 126×	`accelerator-lowering-fma.f64`
4 848×	`-lowering-.f32`
4 848×	`-lowering-.f64`
2 974×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	678
1	28	678
2	38	678
3	41	678
4	71	678
5	102	678
6	150	678
7	366	678
8	1453	678
9	3885	678
10	4232	678
11	4601	678
12	5101	678
13	5780	678
14	6447	678
0	8192	678

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

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

eval85.0ms (0.3%)

Memory: 9.0MiB live, 195.9MiB allocated
Compiler: Compiled 11 301 to 1 196 computations (89.4% saved)

prune124.0ms (0.5%)

Memory

-3.9MiB live, 205.9MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	751	1	752
Fresh	0	0	0
Picked	0	3	3
Done	0	3	3
Total	751	7	758

Accuracy

100.0%

Counts

758 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(/.f64 (/.f64 (+.f64 a b) a) b)
✓	47.2%	(/.f64 (/.f64 b a) b)
▶	52.7%	(/.f64 (/.f64 a b) a)
✓	99.8%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
✓	52.8%	(/.f64 #s(literal 1 binary64) b)
✓	47.4%	(/.f64 #s(literal 1 binary64) a)
✓	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))

Compiler

Compiled 58 to 40 computations (31% saved)

simplify3.0ms (0%)

Memory

7.7MiB live, 7.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 a b)
✓	cost-diff	128	(/.f64 (/.f64 a b) a)

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

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

localize16.0ms (0.1%)

Memory

-1.3MiB live, 36.1MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

12.0ms

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 (89.7% of total)

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

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

series1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Counts

2 → 48

Calls

Call 1

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

Outputs
#<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)>

Calls

12 calls:

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

rewrite177.0ms (0.7%)

Memory

-4.0MiB live, 227.8MiB 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
(/ (/ a b) a)
(/ a b)

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

simplify7.0ms (0%)

Memory

24.3MiB live, 24.3MiB 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 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)

Outputs
(/ 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)
(/.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)

eval29.0ms (0.1%)

Memory: 12.2MiB live, 86.4MiB allocated
Compiler: Compiled 2 857 to 512 computations (82.1% saved)

prune37.0ms (0.1%)

Memory

-17.2MiB live, 105.2MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	267	0	267
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	267	7	274

Accuracy

100.0%

Counts

274 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(/.f64 (/.f64 (+.f64 a b) a) b)
✓	47.2%	(/.f64 (/.f64 b a) b)
✓	52.7%	(/.f64 (/.f64 a b) a)
✓	99.8%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
✓	52.8%	(/.f64 #s(literal 1 binary64) b)
✓	47.4%	(/.f64 #s(literal 1 binary64) a)
✓	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))

Compiler

Compiled 189 to 85 computations (55% saved)

regimes18.0ms (0.1%)

Memory

9.6MiB live, 46.5MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	b
4.0ms	eps
4.0ms	a
3.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))

Results

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

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes40.0ms (0.2%)

Memory

-39.2MiB live, 16.0MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	eps
2.0ms	b
2.0ms	a

Results

Accuracy	Segments	Branch
83.7%	2	`a`
78.8%	2	`b`
58.7%	3	`eps`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0%)

Memory

12.1MiB live, 12.1MiB 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

3 calls:

4.0ms	a
2.0ms	eps
1.0ms	b

Results

Accuracy	Segments	Branch
47.4%	1	`eps`
47.4%	1	`b`
47.4%	1	`a`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch12.0ms (0%)

Memory

23.7MiB live, 23.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	-1.6876058548205437e-191	-1.5604207378359933e-192

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 (55.2% of total)

ival-expm1: 2.0ms (36.8% of total)

ival-div: 1.0ms (18.4% of total)

ival-add: 1.0ms (18.4% of total)

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

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

simplify19.0ms (0.1%)

Memory

-23.9MiB live, 15.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	13	20

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 a #s(literal -5297378074679453/321053216647239593947814323906257853121968982105906607635393121525191171526921436896586092302098904493834409720225721295960658706676257560005359788247795462033399882271023229870096664909931806474077957259264 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) a) (/.f64 #s(literal 1 binary64) b))

(if (<=.f64 a #s(literal -5297378074679453/321053216647239593947814323906257853121968982105906607635393121525191171526921436896586092302098904493834409720225721295960658706676257560005359788247795462033399882271023229870096664909931806474077957259264 binary64)) (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))

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

soundness1.5s (5.8%)

Memory

2.4MiB live, 1 919.4MiB allocated

Rules

7 408×	`accelerator-lowering-fma.f32`
7 408×	`accelerator-lowering-fma.f64`
7 378×	`accelerator-lowering-fma.f32`
7 378×	`accelerator-lowering-fma.f64`
7 176×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	455	3662
1	1454	3594
2	5252	3588
0	8305	3019
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
0	560	5356
1	1908	5116
2	7394	5080
0	8056	4440

Stop Event

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

Compiler

Compiled 145 to 90 computations (37.9% saved)

preprocess66.0ms (0.3%)

Memory: 15.3MiB live, 91.1MiB allocated
Remove: (sort a b)
Compiler: Compiled 140 to 82 computations (41.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze267.0ms (1.1%)

sample18.5s (72.9%)

preprocess277.0ms (1.1%)

explain253.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify245.0ms (1%)

localize38.0ms (0.1%)

series39.0ms (0.2%)

rewrite358.0ms (1.4%)

simplify408.0ms (1.6%)

eval88.0ms (0.3%)

prune108.0ms (0.4%)

simplify278.0ms (1.1%)

localize75.0ms (0.3%)

series46.0ms (0.2%)

rewrite425.0ms (1.7%)

simplify524.0ms (2.1%)

eval288.0ms (1.1%)

prune160.0ms (0.6%)

simplify4.0ms (0%)

localize56.0ms (0.2%)

series5.0ms (0%)

rewrite422.0ms (1.7%)

simplify390.0ms (1.5%)

eval85.0ms (0.3%)

prune124.0ms (0.5%)

simplify3.0ms (0%)

localize16.0ms (0.1%)

series1.0ms (0%)

rewrite177.0ms (0.7%)

simplify7.0ms (0%)

eval29.0ms (0.1%)

prune37.0ms (0.1%)

regimes18.0ms (0.1%)

regimes40.0ms (0.2%)

regimes7.0ms (0%)

bsearch12.0ms (0%)

simplify19.0ms (0.1%)

soundness1.5s (5.8%)

preprocess66.0ms (0.3%)

end0.0ms (0%)

Profiling