Metrics for expq3 (problem 3.4.2)

analyze222.0ms (0.8%)

Memory

-12.3MiB live, 154.1MiB 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)

sample17.7s (64.9%)

Memory

139.6MiB live, 22 427.3MiB allocated

Samples

12.4s	62 442×	0	invalid
1.6s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 10.4s

ival-mult: 3.7s (35.4% of total)

const: 1.5s (14% of total)

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

ival-fabs: 1.0s (10% of total)

ival-<=: 922.0ms (8.9% of total)

ival-add: 663.0ms (6.4% of total)

ival-div: 581.0ms (5.6% of total)

ival-fmin: 422.0ms (4.1% of total)

ival-and: 186.0ms (1.8% of total)

exact: 44.0ms (0.4% of total)

ival-assert: 25.0ms (0.2% of total)

Bogosity

preprocess302.0ms (1.1%)

Memory

28.3MiB live, 341.7MiB allocated

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Call 2

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

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

Symmetry

(sort a b)

explain470.0ms (1.7%)

Memory

-26.2MiB live, 334.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
234	0	-	2	(1.6209516673970019e-72 5.519470192745148e-62 2.345060211533624e-91)	`(/.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))))`
143	3	(-8.254647778233408e-84 -5.495784438672396e-233 8.908469271414101e-241)	0	-	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`
113	2	(-1.26306160546233e-227 2.664647297890069e-72 5.59098192172654e-252)	0	-	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`
108	1	(-8.254647778233408e-84 -5.495784438672396e-233 8.908469271414101e-241)	0	-	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`
0	0	-	0	-	`(+.f64 a b)`
0	0	-	0	-	`(*.f64 b eps)`
0	0	-	0	-	`(exp.f64 (*.f64 a eps))`
0	0	-	0	-	`a`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(*.f64 a eps)`
0	0	-	0	-	`(exp.f64 (*.f64 (+.f64 a b) eps))`
0	0	-	0	-	`eps`
0	0	-	0	-	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`
0	0	-	0	-	`(.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))`
0	0	-	0	-	`(*.f64 (+.f64 a b) eps)`
0	0	-	0	-	`(exp.f64 (*.f64 b eps))`
0	0	-	0	-	`b`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`	u/u	209	0
↳	`(.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))`	underflow	209
↳	`(*.f64 (+.f64 a b) eps)`	underflow	110
↳	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`	underflow	110
↳	`(*.f64 b eps)`	underflow	141
↳	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	underflow	147
↳	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	underflow	141
↳	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`	underflow	232
↳	`(*.f64 a eps)`	underflow	147
`-.f64`	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`	cancellation	146	0
`-.f64`	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	cancellation	115	0
`-.f64`	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	cancellation	109	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	23	0
↳	`(*.f64 b eps)`	underflow	141
↳	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	underflow	147
↳	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	underflow	141
↳	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`	underflow	232
↳	`(*.f64 a eps)`	underflow	147

Confusion

	Predicted +	Predicted -
+	256	0
-	0	0

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
1	110
3	92
4	54

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

90.0ms

512×

valid

Compiler

Compiled 256 to 72 computations (71.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 15.0ms (38.4% of total)

ival-exp: 10.0ms (25.6% of total)

ival-expm1: 7.0ms (17.9% of total)

ival-div: 3.0ms (7.7% of total)

ival-add: 3.0ms (7.7% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB 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)

simplify734.0ms (2.7%)

Memory

13.5MiB live, 248.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize406.0ms (1.5%)

Memory

1.1MiB live, 82.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	62.5%	(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))
✓	accuracy	60.4%	(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))
✓	accuracy	50.0%	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))
✓	accuracy	11.8%	(/.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

387.0ms

256×

valid

Compiler

Compiled 101 to 19 computations (81.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 376.0ms

ival-expm1: 361.0ms (95.9% of total)

ival-mult: 7.0ms (1.9% of total)

ival-exp: 5.0ms (1.3% of total)

ival-div: 2.0ms (0.5% of total)

ival-add: 2.0ms (0.5% of total)

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

exact: 0.0ms (0% of total)

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

series128.0ms (0.5%)

Memory

22.7MiB live, 60.4MiB 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
111.0ms	a	@	0	(/ (* 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	eps	@	-inf	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
1.0ms	a	@	inf	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
1.0ms	b	@	inf	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))

rewrite364.0ms (1.3%)

Memory

-1.6MiB live, 708.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 364

Calls

Call 1

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

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

simplify438.0ms (1.6%)

Memory

-8.1MiB live, 956.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

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

eval74.0ms (0.3%)

Memory: 9.2MiB live, 79.5MiB allocated
Compiler: Compiled 18 453 to 1 554 computations (91.6% saved)

prune67.0ms (0.2%)

Memory

20.9MiB live, 139.5MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

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

Accuracy

98.0%

Counts

485 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	17.6%	(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)))
	41.0%	(/.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)
▶	44.4%	(/.f64 (fma.f64 a (.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 b eps))) #s(literal -1/2 binary64))) #s(literal 1 binary64)) a)
▶	61.5%	(/.f64 (+.f64 b a) (*.f64 b a))
▶	46.5%	(/.f64 #s(literal 1 binary64) b)
▶	52.7%	(/.f64 #s(literal 1 binary64) a)

Compiler

Compiled 226 to 128 computations (43.4% saved)

simplify494.0ms (1.8%)

Memory

-12.5MiB live, 658.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize265.0ms (1%)

Memory

28.8MiB live, 495.8MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))
✓	accuracy	99.8%	(fma.f64 a (.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 b eps))) #s(literal -1/2 binary64))) #s(literal 1 binary64))
✓	accuracy	99.8%	(/.f64 (fma.f64 a (.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 b eps))) #s(literal -1/2 binary64))) #s(literal 1 binary64)) a)
✓	accuracy	44.6%	(.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 b eps))) #s(literal -1/2 binary64)))
✓	accuracy	99.9%	(fma.f64 b (.f64 b a) (.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	59.8%	(/.f64 (.f64 (+.f64 b a) (+.f64 b a)) (.f64 b a))
✓	accuracy	18.3%	(/.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	61.5%	(/.f64 (+.f64 b a) (*.f64 b a))

Samples

193.0ms

256×

valid

Compiler

Compiled 313 to 37 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 140.0ms

ival-mult: 54.0ms (38.6% of total)

ival-div: 31.0ms (22.1% of total)

ival-add: 30.0ms (21.4% of total)

adjust: 18.0ms (12.9% of total)

ival-exp: 4.0ms (2.9% of total)

ival-expm1: 3.0ms (2.1% of total)

exact: 1.0ms (0.7% of total)

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

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

series120.0ms (0.4%)

Memory

-4.4MiB live, 139.9MiB allocated

Counts

16 → 396

Calls

Call 1

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

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

Calls

99 calls:

Time	Variable		Point	Expression
24.0ms	b	@	inf	(+ (* 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)))
9.0ms	b	@	-inf	(+ (* 1/2 (/ (* (+ b a) (+ b a)) (* b a))) (/ (* (+ b a) (* -1/2 (+ (* b (* b a)) (* b (* a a))))) (* b (* b (* a a)))))
9.0ms	a	@	inf	(+ (* 1/2 (/ (* (+ b a) (+ b a)) (* b a))) (/ (* (+ b a) (* -1/2 (+ (* b (* b a)) (* b (* a a))))) (* b (* b (* a a)))))
6.0ms	a	@	0	(/ (+ b a) (* b a))
3.0ms	b	@	inf	(+ (* 1/2 (/ (* (+ b a) (+ b a)) (* b a))) (/ (* (+ b a) (* -1/2 (+ (* b (* b a)) (* b (* a a))))) (* b (* b (* a a)))))

rewrite680.0ms (2.5%)

Memory

-262.2MiB live, 868.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	234
1	256	224
2	2765	218
0	9357	203

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 673

Calls

Call 1

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

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

simplify557.0ms (2%)

Memory

-1.4MiB live, 913.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	450	5467
1	1363	4906
2	4418	4618
0	8293	4208

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

Calls

Call 1

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

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

eval294.0ms (1.1%)

Memory: 22.5MiB live, 357.0MiB allocated
Compiler: Compiled 54 419 to 3 362 computations (93.8% saved)

prune173.0ms (0.6%)

Memory

-23.1MiB live, 316.2MiB allocated

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	1 329	6	1 335
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	1 332	9	1 341

Accuracy

100.0%

Counts

1 341 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(/.f64 (/.f64 (+.f64 b a) a) b)
▶	46.3%	(/.f64 (/.f64 a b) a)
✓	61.5%	(/.f64 (+.f64 b a) (*.f64 b a))
▶	33.2%	(/.f64 b (*.f64 b a))
▶	29.5%	(/.f64 a (*.f64 b a))
✓	46.5%	(/.f64 #s(literal 1 binary64) b)
✓	52.7%	(/.f64 #s(literal 1 binary64) a)
▶	99.9%	(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
▶	59.1%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a))

Compiler

Compiled 134 to 88 computations (34.3% saved)

simplify674.0ms (2.5%)

Memory

-41.4MiB live, 1 066.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	61
1	32	61
2	75	61
3	151	61
4	403	61
5	2108	61
6	3640	61
7	4058	61
8	4357	61
9	4622	61
10	4622	61
0	8363	61

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize49.0ms (0.2%)

Memory

27.1MiB live, 104.3MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 b a)
✓	accuracy	100.0%	(*.f64 b a)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (*.f64 b a))
✓	accuracy	59.2%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a))
✓	accuracy	100.0%	(/.f64 a b)
✓	accuracy	99.6%	(/.f64 (/.f64 a b) a)
✓	accuracy	100.0%	(*.f64 b a)
✓	accuracy	61.0%	(/.f64 b (*.f64 b a))
✓	accuracy	100.0%	(*.f64 b a)
✓	accuracy	60.9%	(/.f64 a (*.f64 b a))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) b)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) a)
✓	accuracy	99.9%	(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))

Samples

31.0ms

256×

valid

Compiler

Compiled 71 to 17 computations (76.1% saved)

Precisions

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

ival-div: 13.0ms (69.5% of total)

ival-mult: 3.0ms (16% of total)

ival-add: 2.0ms (10.7% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0%)

Memory

8.7MiB live, 8.7MiB allocated

Counts

11 → 240

Calls

Call 1

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

Calls

60 calls:

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

rewrite365.0ms (1.3%)

Memory

-18.3MiB live, 643.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 102×	`accelerator-lowering-fma.f32`
6 102×	`accelerator-lowering-fma.f64`
3 666×	`-lowering-.f32`
3 666×	`-lowering-.f64`
2 880×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	43
1	95	43
2	974	43
0	9704	43

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 1 093

Calls

Call 1

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

simplify334.0ms (1.2%)

Memory

20.0MiB live, 472.6MiB allocated

Algorithm

1×	egg-herbie

Rules

2 980×	`accelerator-lowering-fma.f32`
2 980×	`accelerator-lowering-fma.f64`
2 668×	`--lowering--.f32`
2 668×	`--lowering--.f64`
2 622×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	900
1	67	900
2	134	900
3	392	900
4	1095	900
5	1893	900
6	2623	900
7	3121	900
8	3612	900
9	3880	900
10	5034	900
11	6207	900
12	6983	900
13	7369	900
14	7493	900
15	7713	900
0	8823	900

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

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

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

eval261.0ms (1%)

Memory: 19.9MiB live, 357.2MiB allocated
Compiler: Compiled 19 598 to 1 508 computations (92.3% saved)

prune536.0ms (2%)

Memory

1.7MiB live, 240.1MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	1 461	0	1 461
Fresh	0	1	1
Picked	0	5	5
Done	0	3	3
Total	1 461	9	1 470

Accuracy

100.0%

Counts

1 470 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.f64 (/.f64 (+.f64 b a) a) b)
✓	46.3%	(/.f64 (/.f64 a b) a)
✓	61.5%	(/.f64 (+.f64 b a) (*.f64 b a))
✓	33.2%	(/.f64 b (*.f64 b a))
✓	29.5%	(/.f64 a (*.f64 b a))
✓	46.5%	(/.f64 #s(literal 1 binary64) b)
✓	52.7%	(/.f64 #s(literal 1 binary64) a)
✓	99.9%	(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
✓	59.1%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a))

Compiler

Compiled 78 to 52 computations (33.3% saved)

simplify3.0ms (0%)

Memory

4.7MiB live, 4.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 b a)
✓	cost-diff	0	(/.f64 (+.f64 b a) a)
✓	cost-diff	384	(/.f64 (/.f64 (+.f64 b a) a) b)

Rules

10×	`/-lowering-/.f32`
10×	`/-lowering-/.f64`
4×	`+-lowering-+.f64`
4×	`-lowering-.f32`
4×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	17
1	8	17
2	11	17
0	11	17

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

Outputs
(/ (/ (+ b a) a) b)
(/.f64 (+.f64 b a) (*.f64 b a))
(/ (+ b a) a)
(/.f64 (+.f64 b a) a)
(+ b a)
(+.f64 b a)
b
a

localize43.0ms (0.2%)

Memory

-64.8MiB live, 16.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 b a)
✓	accuracy	99.9%	(/.f64 (+.f64 b a) a)
✓	accuracy	99.8%	(/.f64 (/.f64 (+.f64 b a) a) b)

Samples

11.0ms

256×

valid

Compiler

Compiled 19 to 8 computations (57.9% saved)

Precisions

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

ival-div: 3.0ms (62.5% of total)

ival-add: 1.0ms (20.8% of total)

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

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

series2.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Counts

3 → 72

Calls

Call 1

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

Calls

18 calls:

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

rewrite523.0ms (1.9%)

Memory

28.6MiB live, 526.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 700×	`/-lowering-/.f32`
5 700×	`/-lowering-/.f64`
3 996×	`-lowering-.f32`
3 996×	`-lowering-.f64`
1 982×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
1	35	15
2	275	15
3	2977	15
0	9146	15

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 727

Calls

Call 1

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

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

simplify192.0ms (0.7%)

Memory

-6.9MiB live, 269.9MiB allocated

Algorithm

1×	egg-herbie

Rules

2 482×	`-lowering-.f32`
2 482×	`-lowering-.f64`
2 464×	`accelerator-lowering-fma.f32`
2 464×	`accelerator-lowering-fma.f64`
2 046×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	306
1	72	306
2	147	306
3	460	306
4	2266	306
5	4128	306
6	5325	306
7	6292	306
8	7444	306
0	8075	306

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

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

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

eval104.0ms (0.4%)

Memory: 25.3MiB live, 281.9MiB allocated
Compiler: Compiled 19 635 to 2 420 computations (87.7% saved)

prune181.0ms (0.7%)

Memory

2.3MiB live, 303.3MiB allocated

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	799	0	799
Fresh	0	0	0
Picked	0	1	1
Done	0	8	8
Total	799	9	808

Accuracy

100.0%

Counts

808 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(/.f64 (/.f64 (+.f64 b a) a) b)
✓	46.3%	(/.f64 (/.f64 a b) a)
✓	61.5%	(/.f64 (+.f64 b a) (*.f64 b a))
✓	33.2%	(/.f64 b (*.f64 b a))
✓	29.5%	(/.f64 a (*.f64 b a))
✓	46.5%	(/.f64 #s(literal 1 binary64) b)
✓	52.7%	(/.f64 #s(literal 1 binary64) a)
✓	99.9%	(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
✓	59.1%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a))

Compiler

Compiled 238 to 111 computations (53.4% saved)

regimes21.0ms (0.1%)

Memory

-18.4MiB live, 61.0MiB allocated

Counts

13 → 1

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	a
4.0ms	eps
4.0ms	(/.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	b

Results

Accuracy	Segments	Branch
99.9%	1	`a`
99.9%	1	`b`
99.9%	1	`eps`
99.9%	1	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes10.0ms (0%)

Memory

-5.4MiB live, 33.7MiB allocated

Counts

7 → 3

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	a
3.0ms	eps
3.0ms	b

Results

Accuracy	Segments	Branch
83.4%	3	`a`
81.2%	2	`b`
79.8%	4	`eps`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0%)

Memory

8.1MiB live, 8.1MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
81.5%	2	`a`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes4.0ms (0%)

Memory

14.4MiB live, 14.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms	b
1.0ms	eps
1.0ms	a

Results

Accuracy	Segments	Branch
52.7%	1	`eps`
52.7%	1	`b`
52.7%	1	`a`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch25.0ms (0.1%)

Memory

-6.0MiB live, 70.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	-6.777948040977188e-210	-8.127103534792314e-211
10.0ms	-9.460338830262448e-75	-4.388499569489002e-75

Samples

17.0ms

176×

valid

Compiler

Compiled 204 to 156 computations (23.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 8.0ms (65% of total)

ival-expm1: 3.0ms (24.4% of total)

ival-div: 1.0ms (8.1% of total)

ival-add: 1.0ms (8.1% of total)

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

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

bsearch15.0ms (0.1%)

Memory

-4.4MiB live, 37.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	-6.777948040977188e-210	-8.127103534792314e-211

Samples

10.0ms

96×

valid

Compiler

Compiled 114 to 91 computations (20.2% saved)

Precisions

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

ival-mult: 3.0ms (57.8% of total)

ival-div: 1.0ms (19.3% of total)

ival-add: 1.0ms (19.3% of total)

ival-expm1: 1.0ms (19.3% of total)

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

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

simplify8.0ms (0%)

Memory

-17.0MiB live, 22.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	21	41

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(if (<=.f64 a #s(literal -6925922319537253/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) (/.f64 (+.f64 b a) (*.f64 b a)) (if (<=.f64 a #s(literal -4811939048745445/740298315191606967520227188330889966610377319868419938630605715764070011466206019559325413145373572325939050053182159998975553533608824916574615132828322000124194610605645134711392062011527273571616649243219599128195212771328 binary64)) (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))
(if (<=.f64 a #s(literal -4811939048745445/740298315191606967520227188330889966610377319868419938630605715764070011466206019559325413145373572325939050053182159998975553533608824916574615132828322000124194610605645134711392062011527273571616649243219599128195212771328 binary64)) (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal 1 binary64) a)

Outputs
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(if (<=.f64 a #s(literal -6925922319537253/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) (/.f64 (+.f64 b a) (*.f64 b a)) (if (<=.f64 a #s(literal -4811939048745445/740298315191606967520227188330889966610377319868419938630605715764070011466206019559325413145373572325939050053182159998975553533608824916574615132828322000124194610605645134711392062011527273571616649243219599128195212771328 binary64)) (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))
(if (<=.f64 a #s(literal -4811939048745445/740298315191606967520227188330889966610377319868419938630605715764070011466206019559325413145373572325939050053182159998975553533608824916574615132828322000124194610605645134711392062011527273571616649243219599128195212771328 binary64)) (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal 1 binary64) a)

soundness293.0ms (1.1%)

Memory

2.3MiB live, 362.1MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	336	2612
1	1079	2564
2	3419	2564
0	8500	2144
0	35	234
1	256	224
2	2765	218
0	9357	203

Stop Event

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

Compiler

Compiled 104 to 60 computations (42.3% saved)

preprocess156.0ms (0.6%)

Memory: 14.5MiB live, 133.9MiB allocated
Remove: (sort a b)
Compiler: Compiled 182 to 94 computations (48.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze222.0ms (0.8%)

sample17.7s (64.9%)

preprocess302.0ms (1.1%)

explain470.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify734.0ms (2.7%)

localize406.0ms (1.5%)

series128.0ms (0.5%)

rewrite364.0ms (1.3%)

simplify438.0ms (1.6%)

eval74.0ms (0.3%)

prune67.0ms (0.2%)

simplify494.0ms (1.8%)

localize265.0ms (1%)

series120.0ms (0.4%)

rewrite680.0ms (2.5%)

simplify557.0ms (2%)

eval294.0ms (1.1%)

prune173.0ms (0.6%)

simplify674.0ms (2.5%)

localize49.0ms (0.2%)

series5.0ms (0%)

rewrite365.0ms (1.3%)

simplify334.0ms (1.2%)

eval261.0ms (1%)

prune536.0ms (2%)

simplify3.0ms (0%)

localize43.0ms (0.2%)

series2.0ms (0%)

rewrite523.0ms (1.9%)

simplify192.0ms (0.7%)

eval104.0ms (0.4%)

prune181.0ms (0.7%)

regimes21.0ms (0.1%)

regimes10.0ms (0%)

regimes3.0ms (0%)

regimes4.0ms (0%)

bsearch25.0ms (0.1%)

bsearch15.0ms (0.1%)

simplify8.0ms (0%)

soundness293.0ms (1.1%)

preprocess156.0ms (0.6%)

end0.0ms (0%)

Profiling