Metrics for expq3 (problem 3.4.2)

analyze152.0ms (0.6%)

Memory

-4.0MiB live, 236.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 52 to 27 computations (48.1% saved)

sample18.0s (70.2%)

Memory

149.5MiB live, 22 016.4MiB allocated

Samples

12.3s	61 981×	0	invalid
1.5s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 10.6s

ival-mult: 3.2s (30.2% of total)

const: 1.6s (15.4% of total)

ival-expm1: 1.3s (12.6% of total)

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

ival-<=: 987.0ms (9.3% of total)

ival-div: 870.0ms (8.2% of total)

ival-add: 579.0ms (5.4% of total)

ival-fmin: 540.0ms (5.1% of total)

ival-and: 195.0ms (1.8% of total)

exact: 44.0ms (0.4% of total)

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

Bogosity

preprocess276.0ms (1.1%)

Memory

17.9MiB live, 252.6MiB allocated

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Call 2

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

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

Symmetry

(sort a b)

explain220.0ms (0.9%)

Memory

-1.8MiB live, 281.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
228	-	2	(2.1765258335993343e-74 5.470926321886884e-40 1.051285137895506e-99)	`(/.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))))`
133	-	0	-	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`
108	-	0	-	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`
91	-	0	-	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`
0	-	0	-	`(+.f64 a b)`
0	-	0	-	`(*.f64 b eps)`
0	-	0	-	`(exp.f64 (*.f64 a eps))`
0	-	0	-	`a`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(*.f64 a eps)`
0	-	0	-	`(exp.f64 (*.f64 (+.f64 a b) eps))`
0	-	0	-	`eps`
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	-	`(.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))`
0	-	0	-	`(*.f64 (+.f64 a b) eps)`
0	-	0	-	`(exp.f64 (*.f64 b eps))`
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	123
↳	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`	underflow	123
↳	`(*.f64 b eps)`	underflow	165
↳	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	underflow	148
↳	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	underflow	165
↳	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`	underflow	226
↳	`(*.f64 a eps)`	underflow	148
`-.f64`	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`	cancellation	133	0
`-.f64`	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	cancellation	108	0
`-.f64`	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	cancellation	91	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	17	0
↳	`(*.f64 b eps)`	underflow	165
↳	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	underflow	148
↳	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	underflow	165
↳	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`	underflow	226
↳	`(*.f64 a eps)`	underflow	148

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	123
3	97
4	36

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

68.0ms

512×

valid

Compiler

Compiled 256 to 72 computations (71.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 16.0ms (40% of total)

ival-exp: 10.0ms (25% of total)

ival-expm1: 7.0ms (17.5% of total)

ival-div: 3.0ms (7.5% of total)

ival-add: 3.0ms (7.5% 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB 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)

simplify231.0ms (0.9%)

Memory

-3.3MiB live, 231.2MiB 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	128	(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))
✓	cost-diff	128	(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))
✓	cost-diff	128	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize54.0ms (0.2%)

Memory

17.1MiB live, 54.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	67.8%	(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))
✓	accuracy	63.7%	(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))
✓	accuracy	54.8%	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))
✓	accuracy	14.7%	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))

Samples

36.0ms

256×

valid

Compiler

Compiled 101 to 19 computations (81.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 14.0ms (55.2% of total)

ival-exp: 5.0ms (19.7% of total)

ival-expm1: 4.0ms (15.8% of total)

ival-div: 1.0ms (3.9% of total)

ival-add: 1.0ms (3.9% of total)

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

exact: 0.0ms (0% of total)

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

series31.0ms (0.1%)

Memory

-11.6MiB live, 24.7MiB 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
12.0ms	a	@	-inf	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
3.0ms	eps	@	0	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
2.0ms	a	@	0	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
2.0ms	eps	@	-inf	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
1.0ms	a	@	inf	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))

rewrite368.0ms (1.4%)

Memory

10.4MiB live, 562.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 364

Calls

Call 1

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

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

simplify542.0ms (2.1%)

Memory

18.7MiB live, 778.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

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

eval66.0ms (0.3%)

Memory: -18.8MiB live, 93.9MiB allocated
Compiler: Compiled 17 594 to 1 599 computations (90.9% saved)

prune97.0ms (0.4%)

Memory

0.0MiB live, 93.5MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

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

Accuracy

100.0%

Counts

485 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 (/.f64 (+.f64 b a) a) b)
▶	37.8%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 a (.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps))) #s(literal -1/2 binary64))))) a)
▶	49.5%	(/.f64 #s(literal 1 binary64) b)
▶	48.4%	(/.f64 #s(literal 1 binary64) a)
▶	17.4%	(+.f64 (.f64 eps (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 b a) (+.f64 b a))) (.f64 b a)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 (.f64 b (.f64 b a)) (.f64 b (.f64 a a))) (+.f64 b a))) (.f64 b (.f64 b (*.f64 a a)))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))

Compiler

Compiled 192 to 110 computations (42.7% saved)

simplify741.0ms (2.9%)

Memory

0.1MiB live, 586.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	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	(.f64 a (.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps))) #s(literal -1/2 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 a (.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps))) #s(literal -1/2 binary64)))))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 a (.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps))) #s(literal -1/2 binary64))))) a)
✓	cost-diff	128	(+.f64 (.f64 eps (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 b a) (+.f64 b a))) (.f64 b a)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 (.f64 b (.f64 b a)) (.f64 b (.f64 a a))) (+.f64 b a))) (.f64 b (.f64 b (*.f64 a a)))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
✓	cost-diff	256	(+.f64 (.f64 b (.f64 b a)) (.f64 b (.f64 a a)))
✓	cost-diff	512	(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 (.f64 b (.f64 b a)) (.f64 b (.f64 a a))) (+.f64 b a))) (.f64 b (.f64 b (*.f64 a a))))
✓	cost-diff	1664	(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 b a) (+.f64 b a))) (.f64 b a)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 (.f64 b (.f64 b a)) (.f64 b (.f64 a a))) (+.f64 b 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 (+.f64 b a) a)
✓	cost-diff	0	(/.f64 (/.f64 (+.f64 b a) a) b)

Rules

9 504×	`accelerator-lowering-fma.f32`
9 504×	`accelerator-lowering-fma.f64`
6 606×	`+-lowering-+.f64`
6 606×	`+-lowering-+.f32`
4 006×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	440
1	114	424
2	433	400
3	2054	370
4	5118	360
5	6023	328
6	6305	272
7	6505	268
8	6506	268
9	6506	268
0	8619	252

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize780.0ms (3%)

Memory

-8.4MiB live, 377.3MiB 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%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 a (.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps))) #s(literal -1/2 binary64))))) a)
✓	accuracy	99.6%	(.f64 a (.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps))) #s(literal -1/2 binary64))))
✓	accuracy	37.8%	(.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 b eps))) #s(literal -1/2 binary64)))
✓	accuracy	99.9%	(.f64 b (.f64 b a))
✓	accuracy	99.9%	(.f64 b (.f64 a a))
✓	accuracy	55.7%	(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 b a) (+.f64 b a))) (*.f64 b a))
✓	accuracy	19.2%	(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 (.f64 b (.f64 b a)) (.f64 b (.f64 a a))) (+.f64 b 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	99.9%	(/.f64 (+.f64 b a) a)
✓	accuracy	99.8%	(/.f64 (/.f64 (+.f64 b a) a) b)

Samples

607.0ms

256×

valid

Compiler

Compiled 400 to 38 computations (90.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 397.0ms

ival-div: 197.0ms (49.6% of total)

ival-mult: 150.0ms (37.7% of total)

ival-add: 25.0ms (6.3% of total)

adjust: 18.0ms (4.5% of total)

ival-exp: 4.0ms (1% of total)

ival-expm1: 3.0ms (0.8% of total)

exact: 1.0ms (0.3% of total)

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

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

series431.0ms (1.7%)

Memory

11.2MiB live, 86.3MiB allocated

Counts

17 → 432

Calls

Call 1

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

108 calls:

Time	Variable		Point	Expression
249.0ms	b	@	0	(+ (* eps (+ (/ (* 1/2 (* (+ b a) (+ b a))) (* b a)) (/ (* -1/2 (* (+ (* b (* b a)) (* b (* a a))) (+ b a))) (* b (* b (* a a)))))) (+ (/ 1 a) (/ 1 b)))
123.0ms	b	@	inf	(+ (/ (* 1/2 (* (+ b a) (+ b a))) (* b a)) (/ (* -1/2 (* (+ (* b (* b a)) (* b (* a a))) (+ b a))) (* b (* b (* a a)))))
9.0ms	a	@	inf	(+ (/ (* 1/2 (* (+ b a) (+ b a))) (* b a)) (/ (* -1/2 (* (+ (* b (* b a)) (* b (* a a))) (+ b a))) (* b (* b (* a a)))))
3.0ms	b	@	-inf	(+ (/ (* 1/2 (* (+ b a) (+ b a))) (* b a)) (/ (* -1/2 (* (+ (* b (* b a)) (* b (* a a))) (+ b a))) (* b (* b (* a a)))))
3.0ms	a	@	0	(/ (/ (+ b a) a) b)

rewrite508.0ms (2%)

Memory

8.1MiB live, 757.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 090×	`/-lowering-/.f32`
4 090×	`/-lowering-/.f64`
4 010×	`-lowering-.f32`
4 010×	`-lowering-.f64`
3 094×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	237
1	269	229
2	3196	223
0	8307	208

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 699

Calls

Call 1

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

simplify606.0ms (2.4%)

Memory

12.3MiB live, 1 169.7MiB allocated

Algorithm

1×	egg-herbie

Rules

15 174×	`accelerator-lowering-fma.f32`
15 174×	`accelerator-lowering-fma.f64`
5 396×	`+-lowering-+.f64`
5 396×	`+-lowering-+.f32`
4 582×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	380	5671
1	1133	5140
2	3667	4852
0	8098	4416

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 432

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

eval181.0ms (0.7%)

Memory: 16.4MiB live, 517.8MiB allocated
Compiler: Compiled 55 378 to 3 823 computations (93.1% saved)

prune215.0ms (0.8%)

Memory

-23.8MiB live, 428.2MiB allocated

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	1 366	4	1 370
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	1 368	7	1 375

Accuracy

100.0%

Counts

1 375 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(/.f64 (/.f64 (+.f64 b a) a) b)
▶	48.2%	(/.f64 (/.f64 b a) b)
▶	49.3%	(/.f64 (/.f64 a b) a)
▶	99.8%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
✓	49.5%	(/.f64 #s(literal 1 binary64) b)
✓	48.4%	(/.f64 #s(literal 1 binary64) a)
▶	99.9%	(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))

Compiler

Compiled 58 to 40 computations (31% saved)

simplify4.0ms (0%)

Memory

11.5MiB live, 11.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	50
1	20	50
2	25	50
3	25	50
0	25	50

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize43.0ms (0.2%)

Memory

-7.2MiB live, 110.7MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 b a)
✓	accuracy	99.6%	(/.f64 (/.f64 b a) b)
✓	accuracy	100.0%	(/.f64 a b)
✓	accuracy	99.6%	(/.f64 (/.f64 a b) a)
✓	accuracy	100.0%	(/.f64 a b)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 a b))
✓	accuracy	99.8%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) b)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) a)
✓	accuracy	99.9%	(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))

Samples

27.0ms

256×

valid

Compiler

Compiled 56 to 15 computations (73.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-div: 12.0ms (84% of total)

ival-add: 2.0ms (14% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0%)

Memory

17.5MiB live, 17.5MiB allocated

Counts

9 → 192

Calls

Call 1

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

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

Calls

48 calls:

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

rewrite313.0ms (1.2%)

Memory

-11.8MiB live, 576.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 664×	`accelerator-lowering-fma.f32`
5 664×	`accelerator-lowering-fma.f64`
3 616×	`-lowering-.f32`
3 616×	`-lowering-.f64`
3 316×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	84	37
2	830	37
0	8810	37

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 865

Calls

Call 1

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

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

simplify538.0ms (2.1%)

Memory

2.7MiB live, 517.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	750
1	28	750
2	38	750
3	41	750
4	71	750
5	102	750
6	150	750
7	347	750
8	1439	750
9	3905	750
10	4244	750
11	4605	750
12	5114	750
13	5802	750
14	6473	750
0	8218	750

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

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

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

eval184.0ms (0.7%)

Memory: 7.7MiB live, 273.8MiB allocated
Compiler: Compiled 17 236 to 1 244 computations (92.8% saved)

prune250.0ms (1%)

Memory

5.6MiB live, 166.4MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	1 117	1	1 118
Fresh	0	0	0
Picked	0	4	4
Done	0	3	3
Total	1 117	8	1 125

Accuracy

100.0%

Counts

1 125 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(/.f64 (/.f64 (+.f64 b a) a) b)
✓	48.2%	(/.f64 (/.f64 b a) b)
✓	49.3%	(/.f64 (/.f64 a b) a)
✓	99.8%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
▶	27.6%	(/.f64 b (*.f64 b a))
✓	49.5%	(/.f64 #s(literal 1 binary64) b)
✓	48.4%	(/.f64 #s(literal 1 binary64) a)
✓	99.9%	(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))

Compiler

Compiled 66 to 45 computations (31.8% saved)

simplify3.0ms (0%)

Memory

4.1MiB live, 4.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

8×	`/-lowering-/.f32`
8×	`/-lowering-/.f64`
4×	`-lowering-.f32`
4×	`-lowering-.f64`
4×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	4	10
1	7	8
2	10	8
3	12	8
0	12	8

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize15.0ms (0.1%)

Memory

21.1MiB live, 21.1MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 b a)
✓	accuracy	57.1%	(/.f64 b (*.f64 b a))

Samples

10.0ms

256×

valid

Compiler

Compiled 12 to 7 computations (41.7% saved)

Precisions

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

ival-div: 2.0ms (53.3% of total)

ival-mult: 2.0ms (53.3% of total)

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

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

series1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Counts

2 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite246.0ms (1%)

Memory

-36.3MiB live, 354.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 046×	`/-lowering-/.f32`
3 046×	`/-lowering-/.f64`
1 692×	`-lowering-.f32`
1 692×	`-lowering-.f64`
1 236×	`--lowering--.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	4	8
1	15	6
2	76	6
3	406	6
4	3175	6
0	9206	6

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 482

Calls

Call 1

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

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

simplify9.0ms (0%)

Memory

-13.1MiB live, 25.7MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`-lowering-.f32`
4×	`-lowering-.f64`
2×	`*-commutative`
2×	`/-lowering-/.f32`
2×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	144
1	8	144
0	8	144

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 48

Calls

Call 1

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

Outputs
(/ 1 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)
(* 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)

eval59.0ms (0.2%)

Memory: 1.7MiB live, 151.2MiB allocated
Compiler: Compiled 7 586 to 1 185 computations (84.4% saved)

prune71.0ms (0.3%)

Memory

19.8MiB live, 180.6MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	530	0	530
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	530	8	538

Accuracy

100.0%

Counts

538 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(/.f64 (/.f64 (+.f64 b a) a) b)
✓	48.2%	(/.f64 (/.f64 b a) b)
✓	49.3%	(/.f64 (/.f64 a b) a)
✓	99.8%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
✓	27.6%	(/.f64 b (*.f64 b a))
✓	49.5%	(/.f64 #s(literal 1 binary64) b)
✓	48.4%	(/.f64 #s(literal 1 binary64) a)
✓	99.9%	(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))

Compiler

Compiled 203 to 100 computations (50.7% saved)

regimes17.0ms (0.1%)

Memory

-9.3MiB live, 28.6MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) b)
(/.f64 b (*.f64 b a))
(/.f64 (/.f64 a b) a)
(/.f64 (/.f64 b a) b)
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/.f64 (/.f64 (+.f64 b a) a) b)
(+.f64 (.f64 eps (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 b a) (+.f64 b a))) (.f64 b a)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 (.f64 b (.f64 b a)) (.f64 b (.f64 a a))) (+.f64 b a))) (.f64 b (.f64 b (*.f64 a a)))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 a (.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps))) #s(literal -1/2 binary64))))) a)
(/.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	eps
4.0ms	b
4.0ms	a
3.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
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)

regimes7.0ms (0%)

Memory

15.3MiB live, 15.3MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	eps
2.0ms	a
2.0ms	b

Results

Accuracy	Segments	Branch
81.4%	2	`a`
80.3%	2	`b`
61.3%	6	`eps`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes11.0ms (0%)

Memory

-39.2MiB live, 9.6MiB 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:

8.0ms	eps
1.0ms	a
1.0ms	b

Results

Accuracy	Segments	Branch
48.4%	1	`eps`
48.4%	1	`b`
48.4%	1	`a`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch16.0ms (0.1%)

Memory

26.0MiB live, 26.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	-4.4290105090140954e-215	-1.0300574457906663e-219

Samples

10.0ms

128×

valid

Compiler

Compiled 142 to 115 computations (19% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 4.0ms (57.7% of total)

ival-expm1: 2.0ms (28.9% of total)

ival-div: 1.0ms (14.4% of total)

ival-add: 1.0ms (14.4% of total)

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

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

simplify10.0ms (0%)

Memory

-25.2MiB live, 12.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	13	20

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 a #s(literal -4075359992289361/388129523075177233787244872115625638814221504279174152784763009506512738171594221582719602207161619487621932674282768301542895011028703597861071818760295284801113744005212476387566321407899611206315749798429117187723211713454014464 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 -4075359992289361/388129523075177233787244872115625638814221504279174152784763009506512738171594221582719602207161619487621932674282768301542895011028703597861071818760295284801113744005212476387566321407899611206315749798429117187723211713454014464 binary64)) (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))

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

soundness282.0ms (1.1%)

Memory

19.5MiB live, 324.0MiB allocated

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
0	36	237
1	269	229
2	3196	223
0	8307	208

Stop Event

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

Compiler

Compiled 61 to 38 computations (37.7% saved)

preprocess34.0ms (0.1%)

Memory: 8.4MiB live, 82.3MiB allocated
Remove: (sort a b)
Compiler: Compiled 140 to 82 computations (41.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze152.0ms (0.6%)

sample18.0s (70.2%)

preprocess276.0ms (1.1%)

explain220.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify231.0ms (0.9%)

localize54.0ms (0.2%)

series31.0ms (0.1%)

rewrite368.0ms (1.4%)

simplify542.0ms (2.1%)

eval66.0ms (0.3%)

prune97.0ms (0.4%)

simplify741.0ms (2.9%)

localize780.0ms (3%)

series431.0ms (1.7%)

rewrite508.0ms (2%)

simplify606.0ms (2.4%)

eval181.0ms (0.7%)

prune215.0ms (0.8%)

simplify4.0ms (0%)

localize43.0ms (0.2%)

series6.0ms (0%)

rewrite313.0ms (1.2%)

simplify538.0ms (2.1%)

eval184.0ms (0.7%)

prune250.0ms (1%)

simplify3.0ms (0%)

localize15.0ms (0.1%)

series1.0ms (0%)

rewrite246.0ms (1%)

simplify9.0ms (0%)

eval59.0ms (0.2%)

prune71.0ms (0.3%)

regimes17.0ms (0.1%)

regimes7.0ms (0%)

regimes11.0ms (0%)

bsearch16.0ms (0.1%)

simplify10.0ms (0%)

soundness282.0ms (1.1%)

preprocess34.0ms (0.1%)

end0.0ms (0%)

Profiling