Metrics for expq3 (problem 3.4.2)

analyze200.0ms (0.8%)

Memory

-18.5MiB live, 226.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 52 to 27 computations (48.1% saved)

sample19.1s (72%)

Memory

121.3MiB live, 21 833.5MiB allocated

Samples

11.8s	62 824×	0	invalid
1.7s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 10.5s

ival-mult: 3.2s (30.7% of total)

ival-expm1: 1.9s (18.3% of total)

const: 1.5s (14% of total)

ival-fabs: 1.2s (11.4% of total)

ival-<=: 858.0ms (8.2% of total)

ival-add: 533.0ms (5.1% of total)

ival-div: 524.0ms (5% of total)

ival-fmin: 504.0ms (4.8% of total)

ival-and: 200.0ms (1.9% of total)

exact: 42.0ms (0.4% of total)

ival-assert: 24.0ms (0.2% of total)

Bogosity

preprocess277.0ms (1%)

Memory

6.4MiB live, 280.1MiB allocated

Algorithm

1×	egg-herbie

Rules

4 832×	`accelerator-lowering-fma.f32`
4 832×	`accelerator-lowering-fma.f64`
2 736×	`-lowering-.f32`
2 736×	`-lowering-.f64`
1 330×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	233
1	250	229
2	708	227
3	2151	224
4	7041	224
0	17	24
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 (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b)))) (*.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps b))))

Symmetry

(sort a b)

explain249.0ms (0.9%)

Memory

-3.4MiB live, 594.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
231	0	-	2	(-2.7449963671346632e-71 -4.3237323615975075e-74 1.5201907805796557e-84)	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`
139	0	-	0	-	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`
115	1	(4.2497292066658956e-150 2.8426713285778018e-112 5.345619008848212e-174)	0	-	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`
100	0	-	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	200	0
↳	`(.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))`	underflow	200
↳	`(*.f64 (+.f64 a b) eps)`	underflow	117
↳	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`	underflow	117
↳	`(*.f64 b eps)`	underflow	156
↳	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	underflow	140
↳	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	underflow	156
↳	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`	underflow	229
↳	`(*.f64 a eps)`	underflow	140
`-.f64`	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`	cancellation	139	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	100	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	29	0
↳	`(*.f64 b eps)`	underflow	156
↳	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	underflow	140
↳	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	underflow	156
↳	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`	underflow	229
↳	`(*.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	117
3	89
4	50

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

69.0ms

512×

valid

Compiler

Compiled 256 to 72 computations (71.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 22.0ms (46.3% of total)

ival-exp: 10.0ms (21.1% of total)

ival-expm1: 8.0ms (16.9% of total)

ival-div: 3.0ms (6.3% of total)

ival-add: 3.0ms (6.3% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.8MiB live, 0.8MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

0.0%

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

Compiler

Compiled 27 to 17 computations (37% saved)

simplify282.0ms (1.1%)

Memory

15.1MiB live, 339.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

4 832×	`accelerator-lowering-fma.f32`
4 832×	`accelerator-lowering-fma.f64`
2 736×	`-lowering-.f32`
2 736×	`-lowering-.f64`
1 132×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize54.0ms (0.2%)

Memory

-3.6MiB live, 113.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	63.8%	(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))
✓	accuracy	59.7%	(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))
✓	accuracy	50.6%	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))
✓	accuracy	13.5%	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))

Samples

33.0ms

256×

valid

Compiler

Compiled 101 to 19 computations (81.2% saved)

Precisions

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

ival-mult: 9.0ms (40.6% of total)

ival-exp: 5.0ms (22.5% of total)

ival-expm1: 4.0ms (18% of total)

ival-div: 2.0ms (9% of total)

ival-add: 1.0ms (4.5% of total)

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

exact: 0.0ms (0% of total)

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

series22.0ms (0.1%)

Memory

7.1MiB live, 45.0MiB allocated

Counts

4 → 120

Calls

Call 1

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

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

Calls

30 calls:

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

rewrite300.0ms (1.1%)

Memory

8.4MiB live, 677.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 364

Calls

Call 1

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

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

simplify708.0ms (2.7%)

Memory

-7.5MiB live, 626.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

Outputs
(- (exp (* b eps)) 1)
(expm1.f64 (*.f64 b eps))
(- (+ (exp (* b eps)) (* a (* eps (exp (* b eps))))) 1)
(fma.f64 (fma.f64 eps a #s(literal 1 binary64)) (exp.f64 (*.f64 b eps)) #s(literal -1 binary64))
(- (+ (exp (* b eps)) (* a (+ (* 1/2 (* a (* (pow eps 2) (exp (* b eps))))) (* eps (exp (* b eps)))))) 1)
(+.f64 (fma.f64 a (.f64 a (.f64 (exp.f64 (.f64 b eps)) (.f64 eps (.f64 eps #s(literal 1/2 binary64))))) (.f64 (fma.f64 eps a #s(literal 1 binary64)) (exp.f64 (*.f64 b eps)))) #s(literal -1 binary64))
(- (+ (exp (* b eps)) (* a (+ (* a (+ (* 1/6 (* a (* (pow eps 3) (exp (* b eps))))) (* 1/2 (* (pow eps 2) (exp (* b eps)))))) (* eps (exp (* b eps)))))) 1)
(+.f64 (fma.f64 (fma.f64 (exp.f64 (.f64 b eps)) (.f64 eps (.f64 eps #s(literal 1/2 binary64))) (.f64 (.f64 a (.f64 eps (.f64 eps (.f64 eps #s(literal 1/6 binary64))))) (exp.f64 (.f64 b eps)))) (.f64 a a) (.f64 (fma.f64 eps a #s(literal 1 binary64)) (exp.f64 (.f64 b eps)))) #s(literal -1 binary64))
(- (exp (* eps (+ a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (+ a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (+ a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (+ a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (- b (* -1 a)))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (- b (* -1 a)))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (- b (* -1 a)))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (- b (* -1 a)))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 eps a))
(- (+ (exp (* a eps)) (* b (* eps (exp (* a eps))))) 1)
(fma.f64 (fma.f64 b eps #s(literal 1 binary64)) (exp.f64 (*.f64 eps a)) #s(literal -1 binary64))
(- (+ (exp (* a eps)) (* b (+ (* 1/2 (* b (* (pow eps 2) (exp (* a eps))))) (* eps (exp (* a eps)))))) 1)
(+.f64 #s(literal -1 binary64) (fma.f64 (.f64 (exp.f64 (.f64 eps a)) (.f64 b (.f64 eps eps))) (.f64 b #s(literal 1/2 binary64)) (.f64 (fma.f64 b eps #s(literal 1 binary64)) (exp.f64 (*.f64 eps a)))))
(- (+ (exp (* a eps)) (* b (+ (* b (+ (* 1/6 (* b (* (pow eps 3) (exp (* a eps))))) (* 1/2 (* (pow eps 2) (exp (* a eps)))))) (* eps (exp (* a eps)))))) 1)
(+.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 (.f64 b (.f64 eps (.f64 eps (.f64 eps #s(literal 1/6 binary64))))) (exp.f64 (.f64 eps a)) (.f64 (exp.f64 (.f64 eps a)) (.f64 eps (.f64 eps #s(literal 1/2 binary64))))) (.f64 b b) (.f64 (fma.f64 b eps #s(literal 1 binary64)) (exp.f64 (.f64 eps a)))))
(- (exp (* eps (+ a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (+ a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (+ a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (+ a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (- a (* -1 b)))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (- a (* -1 b)))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (- a (* -1 b)))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (- a (* -1 b)))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(* eps (+ a b))
(*.f64 eps (+.f64 b a))
(* eps (+ a (+ b (* 1/2 (* eps (pow (+ a b) 2))))))
(.f64 eps (fma.f64 (.f64 (+.f64 b a) (+.f64 b a)) (*.f64 eps #s(literal 1/2 binary64)) (+.f64 b a)))
(* eps (+ a (+ b (* eps (+ (* 1/6 (* eps (pow (+ a b) 3))) (* 1/2 (pow (+ a b) 2)))))))
(.f64 eps (fma.f64 eps (fma.f64 eps (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (.f64 (+.f64 b a) #s(literal 1/6 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 b a) (+.f64 b a)))) (+.f64 b a)))
(* eps (+ a (+ b (* eps (+ (* 1/2 (pow (+ a b) 2)) (* eps (+ (* 1/24 (* eps (pow (+ a b) 4))) (* 1/6 (pow (+ a b) 3)))))))))
(.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 (pow.f64 (+.f64 b a) #s(literal 4 binary64)) (.f64 eps #s(literal 1/24 binary64)) (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (.f64 (+.f64 b a) #s(literal 1/6 binary64)))) (.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (+.f64 b a)))) (+.f64 b a)))
(- (exp (* eps (+ a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (+ a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (+ a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (+ a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (+ a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (+ a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (+ a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(- (exp (* eps (+ a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(* a eps)
(*.f64 eps a)
(* a (+ eps (* 1/2 (* a (pow eps 2)))))
(.f64 eps (fma.f64 eps (.f64 a (*.f64 a #s(literal 1/2 binary64))) a))
(* a (+ eps (* a (+ (* 1/6 (* a (pow eps 3))) (* 1/2 (pow eps 2))))))
(.f64 a (fma.f64 a (fma.f64 a (.f64 eps (.f64 eps (.f64 eps #s(literal 1/6 binary64)))) (.f64 eps (.f64 eps #s(literal 1/2 binary64)))) eps))
(* a (+ eps (* a (+ (* 1/2 (pow eps 2)) (* a (+ (* 1/24 (* a (pow eps 4))) (* 1/6 (pow eps 3))))))))
(.f64 a (fma.f64 a (fma.f64 a (fma.f64 eps (.f64 eps (.f64 eps #s(literal 1/6 binary64))) (.f64 (pow.f64 eps #s(literal 4 binary64)) (.f64 a #s(literal 1/24 binary64)))) (.f64 eps (*.f64 eps #s(literal 1/2 binary64)))) eps))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 eps a))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 eps a))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 eps a))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 eps a))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 eps a))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 eps a))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 eps a))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 eps a))
(* a eps)
(*.f64 eps a)
(* eps (+ a (* 1/2 (* (pow a 2) eps))))
(.f64 eps (fma.f64 eps (.f64 a (*.f64 a #s(literal 1/2 binary64))) a))
(* eps (+ a (* eps (+ (* 1/6 (* (pow a 3) eps)) (* 1/2 (pow a 2))))))
(.f64 eps (fma.f64 eps (fma.f64 eps (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 a a))) (.f64 a (.f64 a #s(literal 1/2 binary64)))) a))
(* eps (+ a (* eps (+ (* 1/2 (pow a 2)) (* eps (+ (* 1/24 (* (pow a 4) eps)) (* 1/6 (pow a 3))))))))
(.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/6 binary64) (.f64 a (.f64 a a)) (.f64 #s(literal 1/24 binary64) (.f64 eps (pow.f64 a #s(literal 4 binary64))))) (.f64 a (*.f64 a #s(literal 1/2 binary64)))) a))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 eps a))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 eps a))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 eps a))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 eps a))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 eps a))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 eps a))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 eps a))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 eps a))
(* b eps)
(*.f64 b eps)
(* b (+ eps (* 1/2 (* b (pow eps 2)))))
(.f64 b (fma.f64 b (.f64 eps (*.f64 eps #s(literal 1/2 binary64))) eps))
(* b (+ eps (* b (+ (* 1/6 (* b (pow eps 3))) (* 1/2 (pow eps 2))))))
(.f64 b (fma.f64 b (fma.f64 b (.f64 eps (.f64 eps (.f64 eps #s(literal 1/6 binary64)))) (.f64 eps (.f64 eps #s(literal 1/2 binary64)))) eps))
(* b (+ eps (* b (+ (* 1/2 (pow eps 2)) (* b (+ (* 1/24 (* b (pow eps 4))) (* 1/6 (pow eps 3))))))))
(.f64 b (fma.f64 b (fma.f64 b (fma.f64 b (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/24 binary64)) (.f64 eps (.f64 eps (.f64 eps #s(literal 1/6 binary64))))) (.f64 eps (*.f64 eps #s(literal 1/2 binary64)))) eps))
(- (exp (* b eps)) 1)
(expm1.f64 (*.f64 b eps))
(- (exp (* b eps)) 1)
(expm1.f64 (*.f64 b eps))
(- (exp (* b eps)) 1)
(expm1.f64 (*.f64 b eps))
(- (exp (* b eps)) 1)
(expm1.f64 (*.f64 b eps))
(- (exp (* b eps)) 1)
(expm1.f64 (*.f64 b eps))
(- (exp (* b eps)) 1)
(expm1.f64 (*.f64 b eps))
(- (exp (* b eps)) 1)
(expm1.f64 (*.f64 b eps))
(- (exp (* b eps)) 1)
(expm1.f64 (*.f64 b eps))
(* b eps)
(*.f64 b eps)
(* eps (+ b (* 1/2 (* (pow b 2) eps))))
(.f64 b (fma.f64 b (.f64 eps (*.f64 eps #s(literal 1/2 binary64))) eps))
(* eps (+ b (* eps (+ (* 1/6 (* (pow b 3) eps)) (* 1/2 (pow b 2))))))
(.f64 eps (fma.f64 eps (fma.f64 eps (.f64 b (.f64 (.f64 b b) #s(literal 1/6 binary64))) (.f64 b (.f64 b #s(literal 1/2 binary64)))) b))
(* eps (+ b (* eps (+ (* 1/2 (pow b 2)) (* eps (+ (* 1/24 (* (pow b 4) eps)) (* 1/6 (pow b 3))))))))
(.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 b (.f64 (.f64 b b) #s(literal 1/6 binary64)) (.f64 eps (.f64 #s(literal 1/24 binary64) (pow.f64 b #s(literal 4 binary64))))) (.f64 b (*.f64 b #s(literal 1/2 binary64)))) b))
(- (exp (* b eps)) 1)
(expm1.f64 (*.f64 b eps))
(- (exp (* b eps)) 1)
(expm1.f64 (*.f64 b eps))
(- (exp (* b eps)) 1)
(expm1.f64 (*.f64 b eps))
(- (exp (* b eps)) 1)
(expm1.f64 (*.f64 b eps))
(- (exp (* b eps)) 1)
(expm1.f64 (*.f64 b eps))
(- (exp (* b eps)) 1)
(expm1.f64 (*.f64 b eps))
(- (exp (* b eps)) 1)
(expm1.f64 (*.f64 b eps))
(- (exp (* b eps)) 1)
(expm1.f64 (*.f64 b eps))
(/ (+ a b) (* a b))
(/.f64 (+.f64 b a) (*.f64 b a))
(+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
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eval46.0ms (0.2%)

Memory: 12.8MiB live, 87.1MiB allocated
Compiler: Compiled 17 346 to 1 535 computations (91.2% saved)

prune72.0ms (0.3%)

Memory

1.8MiB live, 118.0MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	479	5	484
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	480	5	485

Accuracy

97.7%

Counts

485 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	21.9%	(fma.f64 eps (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 b a) (+.f64 b a)) (.f64 b a)) (/.f64 (.f64 (+.f64 b a) (.f64 #s(literal -1/2 binary64) (fma.f64 b (.f64 b a) (.f64 b (.f64 a a))))) (.f64 b (.f64 b (.f64 a a))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
▶	44.1%	(/.f64 (fma.f64 b (.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps a))) #s(literal -1/2 binary64))) #s(literal 1 binary64)) b)
▶	58.8%	(/.f64 (+.f64 b a) (*.f64 b a))
▶	54.4%	(/.f64 #s(literal 1 binary64) b)
▶	45.6%	(/.f64 #s(literal 1 binary64) a)

Compiler

Compiled 184 to 102 computations (44.6% saved)

simplify382.0ms (1.4%)

Memory

8.5MiB live, 604.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	362
1	111	348
2	400	330
3	1946	306
4	4599	298
5	5658	274
6	6035	238
7	6160	234
8	6195	230
9	7037	230
0	8383	216

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize346.0ms (1.3%)

Memory

-2.9MiB live, 547.7MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (.f64 eps a)))
✓	accuracy	99.8%	(fma.f64 b (.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps a))) #s(literal -1/2 binary64))) #s(literal 1 binary64))
✓	accuracy	99.8%	(/.f64 (fma.f64 b (.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps a))) #s(literal -1/2 binary64))) #s(literal 1 binary64)) b)
✓	accuracy	44.8%	(.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps a))) #s(literal -1/2 binary64)))
✓	accuracy	99.9%	(.f64 b (.f64 a a))
✓	accuracy	99.9%	(.f64 (+.f64 b a) (.f64 #s(literal -1/2 binary64) (fma.f64 b (.f64 b a) (.f64 b (*.f64 a a)))))
✓	accuracy	56.8%	(/.f64 (.f64 (+.f64 b a) (+.f64 b a)) (.f64 b a))
✓	accuracy	22.8%	(/.f64 (.f64 (+.f64 b a) (.f64 #s(literal -1/2 binary64) (fma.f64 b (.f64 b a) (.f64 b (.f64 a a))))) (.f64 b (.f64 b (.f64 a a))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) b)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) a)
✓	accuracy	100.0%	(+.f64 b a)
✓	accuracy	100.0%	(*.f64 b a)
✓	accuracy	58.8%	(/.f64 (+.f64 b a) (*.f64 b a))

Samples

260.0ms

256×

valid

Compiler

Compiled 313 to 37 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 188.0ms

ival-mult: 64.0ms (34% of total)

ival-add: 47.0ms (25% of total)

ival-div: 35.0ms (18.6% of total)

adjust: 34.0ms (18.1% of total)

ival-exp: 4.0ms (2.1% of total)

ival-expm1: 3.0ms (1.6% of total)

exact: 1.0ms (0.5% of total)

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

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

series71.0ms (0.3%)

Memory

3.7MiB live, 121.1MiB allocated

Counts

17 → 420

Calls

Call 1

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

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

Calls

105 calls:

Time	Variable		Point	Expression
9.0ms	a	@	inf	(+ (* 1/2 (/ (* (+ b a) (+ b a)) (* b a))) (/ (* (+ b a) (* -1/2 (+ (* b (* b a)) (* b (* a a))))) (* b (* b (* a a)))))
6.0ms	b	@	-inf	(+ (* 1/2 (/ (* (+ b a) (+ b a)) (* b a))) (/ (* (+ b a) (* -1/2 (+ (* b (* b a)) (* b (* a a))))) (* b (* b (* a a)))))
3.0ms	b	@	inf	(+ (* 1/2 (/ (* (+ b a) (+ b a)) (* b a))) (/ (* (+ b a) (* -1/2 (+ (* b (* b a)) (* b (* a a))))) (* b (* b (* a a)))))
3.0ms	a	@	0	(/ (+ b a) (* b a))
3.0ms	a	@	-inf	(+ (* 1/2 (/ (* (+ b a) (+ b a)) (* b a))) (/ (* (+ b a) (* -1/2 (+ (* b (* b a)) (* b (* a a))))) (* b (* b (* a a)))))

rewrite436.0ms (1.6%)

Memory

14.5MiB live, 753.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 116×	`accelerator-lowering-fma.f32`
5 116×	`accelerator-lowering-fma.f64`
4 436×	`/-lowering-/.f32`
4 436×	`/-lowering-/.f64`
4 382×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	239
1	256	229
2	2765	223
0	9360	208

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 677

Calls

Call 1

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

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

simplify556.0ms (2.1%)

Memory

4.4MiB live, 775.5MiB allocated

Algorithm

1×	egg-herbie

Rules

13 234×	`accelerator-lowering-fma.f32`
13 234×	`accelerator-lowering-fma.f64`
5 922×	`-lowering-.f32`
5 922×	`-lowering-.f64`
4 526×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	451	5589
1	1361	5028
2	4402	4738
0	8286	4328

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

Calls

Call 1

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

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

eval745.0ms (2.8%)

Memory: 43.3MiB live, 298.5MiB allocated
Compiler: Compiled 56 277 to 3 382 computations (94% saved)

prune226.0ms (0.9%)

Memory

-17.9MiB live, 309.5MiB allocated

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	1 387	4	1 391
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	1 389	7	1 396

Accuracy

100.0%

Counts

1 396 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	45.4%	(/.f64 (/.f64 b a) b)
✓	58.8%	(/.f64 (+.f64 b a) (*.f64 b a))
▶	99.8%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
✓	54.4%	(/.f64 #s(literal 1 binary64) b)
✓	45.6%	(/.f64 #s(literal 1 binary64) a)
▶	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
▶	57.1%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a))

Compiler

Compiled 62 to 43 computations (30.6% saved)

simplify399.0ms (1.5%)

Memory

-47.1MiB live, 598.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

8 498×	`-lowering-.f32`
8 498×	`-lowering-.f64`
5 974×	`accelerator-lowering-fma.f32`
5 974×	`accelerator-lowering-fma.f64`
3 594×	`cube-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	69
1	32	63
2	71	63
3	141	63
4	310	63
5	1115	63
6	2813	63
7	3619	63
8	4832	63
9	6199	63
10	7026	63
11	7440	63
12	7537	63
13	7851	63
14	7867	63
0	9047	63

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize69.0ms (0.3%)

Memory

-16.6MiB live, 142.6MiB allocated

Localize:

Found 12 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) b) (/.f64 #s(literal 1 binary64) a))
✓	accuracy	100.0%	(+.f64 b a)
✓	accuracy	100.0%	(*.f64 b a)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (*.f64 b a))
✓	accuracy	57.2%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a))

Samples

32.0ms

256×

valid

Compiler

Compiled 69 to 18 computations (73.9% saved)

Precisions

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

ival-div: 12.0ms (61.3% of total)

ival-add: 3.0ms (15.3% of total)

ival-mult: 3.0ms (15.3% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0%)

Memory

13.6MiB live, 13.6MiB allocated

Counts

12 → 264

Calls

Call 1

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

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

66 calls:

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

rewrite607.0ms (2.3%)

Memory

5.4MiB live, 527.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 292×	`accelerator-lowering-fma.f32`
5 292×	`accelerator-lowering-fma.f64`
3 422×	`/-lowering-/.f32`
3 422×	`/-lowering-/.f64`
3 146×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	58
1	108	52
2	1042	52
0	9079	52

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 1 429

Calls

Call 1

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

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

simplify340.0ms (1.3%)

Memory

21.1MiB live, 215.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

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

eval261.0ms (1%)

Memory: 13.5MiB live, 353.6MiB allocated
Compiler: Compiled 25 805 to 1 601 computations (93.8% saved)

prune110.0ms (0.4%)

Memory

-33.2MiB live, 213.6MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	1 692	1	1 693
Fresh	0	0	0
Picked	0	4	4
Done	0	3	3
Total	1 692	8	1 700

Accuracy

100.0%

Counts

1 700 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	45.4%	(/.f64 (/.f64 b a) b)
▶	54.2%	(/.f64 (/.f64 a b) a)
✓	58.8%	(/.f64 (+.f64 b a) (*.f64 b a))
✓	99.8%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
✓	54.4%	(/.f64 #s(literal 1 binary64) b)
✓	45.6%	(/.f64 #s(literal 1 binary64) a)
✓	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
✓	57.1%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a))

Compiler

Compiled 70 to 48 computations (31.4% saved)

simplify3.0ms (0%)

Memory

8.0MiB live, 8.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

localize18.0ms (0.1%)

Memory

-8.0MiB live, 29.7MiB 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

13.0ms

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 (101% of total)

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

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

series1.0ms (0%)

Memory

1.4MiB live, 1.4MiB 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	b	@	-inf	(/ (/ a b) a)
0.0ms	a	@	-inf	(/ (/ a b) a)
0.0ms	b	@	inf	(/ (/ a b) a)

rewrite124.0ms (0.5%)

Memory

31.3MiB live, 188.6MiB 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 #s(literal -1 binary64) (.f64 a b)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) b))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 b)))
(exp.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 b a)) (*.f64 #s(literal -1 binary64) (log.f64 a))))
(exp.f64 (fma.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 #s(literal -1 binary64) (*.f64 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 (neg.f64 a) (*.f64 a (neg.f64 b)))
(/.f64 (/.f64 a (neg.f64 b)) (neg.f64 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 (neg.f64 b)) (neg.f64 b)))
(/.f64 #s(literal -1 binary64) (neg.f64 b))
(/.f64 (.f64 a (neg.f64 b)) (.f64 (*.f64 a (neg.f64 b)) b))
(/.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b (neg.f64 a)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a b)) (/.f64 #s(literal 1 binary64) a))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 a b)) (/.f64 #s(literal -1 binary64) a))
(/.f64 (neg.f64 (.f64 a (.f64 a a))) (.f64 (.f64 a (neg.f64 b)) (*.f64 a a)))
(/.f64 (neg.f64 (/.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (.f64 (neg.f64 a) (/.f64 (.f64 a (/.f64 a b)) b)))
(/.f64 (neg.f64 (.f64 a a)) (.f64 (*.f64 a (neg.f64 b)) a))
(/.f64 (neg.f64 (.f64 a a)) (.f64 (neg.f64 a) (*.f64 a b)))
(/.f64 (neg.f64 (/.f64 (.f64 a (/.f64 a b)) b)) (.f64 (neg.f64 a) (/.f64 a b)))
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(/.f64 a b)
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(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 b) (neg.f64 (/.f64 (.f64 a (/.f64 a b)) b)))) (*.f64 (neg.f64 b) (/.f64 a b)))
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(/.f64 (.f64 (/.f64 #s(literal -1 binary64) b) (neg.f64 (.f64 a (.f64 a a)))) (.f64 a a))
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(/.f64 (.f64 (neg.f64 (.f64 a (.f64 a a))) (/.f64 #s(literal -1 binary64) b)) (.f64 a a))
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(.f64 (/.f64 #s(literal 1 binary64) (.f64 a b)) (*.f64 a a))
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(*.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))
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(.f64 (.f64 a (/.f64 a b)) (/.f64 #s(literal 1 binary64) a))
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(.f64 (.f64 a (/.f64 a (neg.f64 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 b (neg.f64 a))) (/.f64 #s(literal -1 binary64) a))
(.f64 (/.f64 (neg.f64 a) (neg.f64 (.f64 b (.f64 b b)))) (.f64 b b))
(.f64 (/.f64 (neg.f64 a) (neg.f64 (.f64 b b))) b)

simplify8.0ms (0%)

Memory

-17.6MiB live, 20.8MiB 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)

eval30.0ms (0.1%)

Memory: -6.6MiB live, 71.9MiB allocated
Compiler: Compiled 2 694 to 512 computations (81% saved)

prune36.0ms (0.1%)

Memory

32.4MiB live, 108.4MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	267	0	267
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	267	8	275

Accuracy

100.0%

Counts

275 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	45.4%	(/.f64 (/.f64 b a) b)
✓	54.2%	(/.f64 (/.f64 a b) a)
✓	58.8%	(/.f64 (+.f64 b a) (*.f64 b a))
✓	99.8%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
✓	54.4%	(/.f64 #s(literal 1 binary64) b)
✓	45.6%	(/.f64 #s(literal 1 binary64) a)
✓	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
✓	57.1%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a))

Compiler

Compiled 207 to 101 computations (51.2% saved)

regimes20.0ms (0.1%)

Memory

-12.3MiB live, 43.6MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
4.0ms	eps
4.0ms	a
4.0ms	b

Results

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

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes11.0ms (0%)

Memory

-6.4MiB live, 32.7MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

4 calls:

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))))
3.0ms	eps
2.0ms	b
2.0ms	a

Results

Accuracy	Segments	Branch
84.5%	3	`a`
84.7%	2	`b`
73.2%	2	`eps`
58.8%	1	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes7.0ms (0%)

Memory

-22.0MiB live, 15.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	eps
1.0ms	a
1.0ms	b
1.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
45.6%	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))))`
45.6%	1	`eps`
45.6%	1	`a`
45.6%	1	`b`

Compiler

Compiled 39 to 26 computations (33.3% saved)

bsearch10.0ms (0%)

Memory

20.2MiB live, 20.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	9.85635242777584e-193	3.4326152401323524e-192

Samples

6.0ms

80×

valid

Compiler

Compiled 100 to 79 computations (21% saved)

Precisions

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

ival-mult: 2.0ms (45.1% of total)

ival-div: 1.0ms (22.6% of total)

ival-expm1: 1.0ms (22.6% of total)

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

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

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

simplify8.0ms (0%)

Memory

-21.7MiB live, 16.8MiB 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) b) (/.f64 #s(literal 1 binary64) a))

(if (<=.f64 b #s(literal 8732647492804917/2568425733177916751582514591250062824975751856847252861083144972201529372215371495172688738416791235950675277761805770367685269653410060480042878305982363696267199058168185838960773319279454451792623658074112 binary64)) (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))

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

Outputs

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

(if (<=.f64 b #s(literal 8732647492804917/2568425733177916751582514591250062824975751856847252861083144972201529372215371495172688738416791235950675277761805770367685269653410060480042878305982363696267199058168185838960773319279454451792623658074112 binary64)) (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))

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

soundness325.0ms (1.2%)

Memory

15.7MiB live, 284.0MiB allocated

Rules

9 330×	`accelerator-lowering-fma.f32`
9 330×	`accelerator-lowering-fma.f64`
7 346×	`-lowering-.f32`
7 346×	`-lowering-.f64`
5 116×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	336	2612
1	1079	2564
2	3419	2564
0	8500	2144
0	35	239
1	256	229
2	2765	223
0	9360	208

Stop Event

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

Compiler

Compiled 61 to 38 computations (37.7% saved)

preprocess57.0ms (0.2%)

Memory: 25.9MiB live, 108.2MiB allocated
Remove: (sort a b)
Compiler: Compiled 140 to 82 computations (41.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze200.0ms (0.8%)

sample19.1s (72%)

preprocess277.0ms (1%)

explain249.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify282.0ms (1.1%)

localize54.0ms (0.2%)

series22.0ms (0.1%)

rewrite300.0ms (1.1%)

simplify708.0ms (2.7%)

eval46.0ms (0.2%)

prune72.0ms (0.3%)

simplify382.0ms (1.4%)

localize346.0ms (1.3%)

series71.0ms (0.3%)

rewrite436.0ms (1.6%)

simplify556.0ms (2.1%)

eval745.0ms (2.8%)

prune226.0ms (0.9%)

simplify399.0ms (1.5%)

localize69.0ms (0.3%)

series7.0ms (0%)

rewrite607.0ms (2.3%)

simplify340.0ms (1.3%)

eval261.0ms (1%)

prune110.0ms (0.4%)

simplify3.0ms (0%)

localize18.0ms (0.1%)

series1.0ms (0%)

rewrite124.0ms (0.5%)

simplify8.0ms (0%)

eval30.0ms (0.1%)

prune36.0ms (0.1%)

regimes20.0ms (0.1%)

regimes11.0ms (0%)

regimes7.0ms (0%)

bsearch10.0ms (0%)

simplify8.0ms (0%)

soundness325.0ms (1.2%)

preprocess57.0ms (0.2%)

end0.0ms (0%)

Profiling