Metrics for expq3 (problem 3.4.2)

analyze186.0ms (0.7%)

Memory

-24.9MiB live, 232.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 52 to 27 computations (48.1% saved)

sample18.5s (72.1%)

Memory

109.8MiB live, 21 793.3MiB allocated

Samples

12.3s	63 794×	0	invalid
1.6s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 10.8s

ival-mult: 3.1s (28.4% of total)

const: 1.8s (17.1% of total)

ival-expm1: 1.6s (14.5% of total)

ival-fabs: 1.1s (10.4% of total)

ival-<=: 1.1s (9.8% of total)

ival-add: 749.0ms (6.9% of total)

ival-div: 560.0ms (5.2% of total)

ival-fmin: 542.0ms (5% of total)

ival-and: 207.0ms (1.9% of total)

exact: 46.0ms (0.4% of total)

ival-assert: 26.0ms (0.2% of total)

Bogosity

preprocess279.0ms (1.1%)

Memory

12.1MiB live, 244.1MiB allocated

Algorithm

1×	egg-herbie

Rules

4 832×	`lower-fma.f64`
4 832×	`lower-fma.f32`
2 736×	`lower-*.f32`
2 726×	`lower-*.f64`
1 330×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	233
1	250	229
2	708	227
3	2151	224
4	7041	224
0	17	24
0	30	24
1	56	24
2	109	24
3	176	24
4	327	24
5	655	24
6	1264	24
7	3455	24
8	6175	24
9	7511	24
10	7817	24
11	7898	24
12	7928	24
0	8057	18

Stop Event

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

Calls

Call 1

Inputs

(/.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 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))))

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

Symmetry

(sort a b)

explain274.0ms (1.1%)

Memory

1.4MiB live, 435.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
240	0	-	2	(-1.6992131225881202e-69 2.7962928750261287e-64 1.95532988840202e-92)	`(/.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))))`
142	2	(-1.1765888188037834e-50 2.213586225197083e-248 6.640590486277071e-274)	0	-	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`
106	1	(-1.1765888188037834e-50 2.213586225197083e-248 6.640590486277071e-274)	0	-	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`
99	2	(-7.462132033572149e-73 1.9378813101511144e-156 2.7723502091488436e-168)	0	-	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`
0	0	-	0	-	`(+.f64 a b)`
0	0	-	0	-	`(*.f64 b eps)`
0	0	-	0	-	`(exp.f64 (*.f64 a eps))`
0	0	-	0	-	`a`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(*.f64 a eps)`
0	0	-	0	-	`(exp.f64 (*.f64 (+.f64 a b) eps))`
0	0	-	0	-	`eps`
0	0	-	0	-	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`
0	0	-	0	-	`(.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))`
0	0	-	0	-	`(*.f64 (+.f64 a b) eps)`
0	0	-	0	-	`(exp.f64 (*.f64 b eps))`
0	0	-	0	-	`b`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`	u/u	214	0
↳	`(.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))`	underflow	214
↳	`(*.f64 (+.f64 a b) eps)`	underflow	112
↳	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`	underflow	112
↳	`(*.f64 b eps)`	underflow	155
↳	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	underflow	149
↳	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	underflow	155
↳	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`	underflow	238
↳	`(*.f64 a eps)`	underflow	149
`-.f64`	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`	cancellation	144	0
`-.f64`	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	cancellation	107	0
`-.f64`	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	cancellation	101	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	24	0
↳	`(*.f64 b eps)`	underflow	155
↳	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	underflow	149
↳	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	underflow	155
↳	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`	underflow	238
↳	`(*.f64 a eps)`	underflow	149

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	112
3	98
4	46

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

104.0ms

512×

valid

Compiler

Compiled 256 to 72 computations (71.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 14.0ms (33.3% of total)

ival-exp: 12.0ms (28.5% of total)

ival-expm1: 9.0ms (21.4% of total)

ival-div: 3.0ms (7.1% of total)

ival-add: 3.0ms (7.1% 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: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

2.3MiB live, 2.3MiB 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)

simplify247.0ms (1%)

Memory

18.0MiB live, 292.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

4 832×	`lower-fma.f64`
4 832×	`lower-fma.f32`
2 736×	`lower-*.f32`
2 726×	`lower-*.f64`
1 132×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	99
0	30	99
1	56	99
2	109	99
3	176	99
4	327	99
5	655	99
6	1264	99
7	3455	99
8	6175	99
9	7511	99
10	7817	99
11	7898	99
12	7928	99
0	8057	81

Stop Event

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

Calls

Call 1

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

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

localize53.0ms (0.2%)

Memory

-11.9MiB live, 102.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	65.3%	(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))
✓	accuracy	64.0%	(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))
✓	accuracy	51.1%	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))
✓	accuracy	9.9%	(/.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

32.0ms

256×

valid

Compiler

Compiled 101 to 19 computations (81.2% saved)

Precisions

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

ival-mult: 7.0ms (33.8% of total)

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

ival-expm1: 5.0ms (24.1% of total)

ival-div: 2.0ms (9.7% of total)

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

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

exact: 0.0ms (0% of total)

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

series31.0ms (0.1%)

Memory

-21.6MiB live, 41.4MiB allocated

Counts

4 → 120

Calls

Call 1

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

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

Calls

30 calls:

Time	Variable		Point	Expression
10.0ms	eps	@	0	(- (exp (* a eps)) 1)
3.0ms	eps	@	0	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
3.0ms	a	@	inf	(/ (* 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)))
2.0ms	b	@	0	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))

rewrite290.0ms (1.1%)

Memory

55.3MiB live, 554.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 838×	`lower-*.f32`
5 828×	`lower-*.f64`
4 440×	`lower-/.f32`
4 438×	`lower-/.f64`
3 902×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	44
0	30	44
1	108	44
2	766	44
0	8484	32

Stop Event

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

Counts

4 → 364

Calls

Call 1

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

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

simplify373.0ms (1.5%)

Memory

-0.1MiB live, 520.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 330×	`lower-fma.f64`
9 330×	`lower-fma.f32`
7 346×	`lower-*.f64`
7 346×	`lower-*.f32`
4 214×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	336	2612
1	1079	2564
2	3426	2564
0	8507	2144

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

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

eval65.0ms (0.3%)

Memory: -2.5MiB live, 73.0MiB allocated
Compiler: Compiled 17 346 to 1 556 computations (91% saved)

prune84.0ms (0.3%)

Memory

-20.6MiB live, 145.7MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

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

Accuracy

97.7%

Counts

485 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	39.6%	(/.f64 (fma.f64 a (.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 b eps))) #s(literal -1/2 binary64))) #s(literal 1 binary64)) a)
▶	61.8%	(/.f64 (+.f64 a b) (*.f64 a b))
▶	47.0%	(/.f64 #s(literal 1 binary64) b)
▶	52.1%	(/.f64 #s(literal 1 binary64) a)
▶	14.4%	(+.f64 (/.f64 #s(literal 1 binary64) b) (fma.f64 eps (fma.f64 (+.f64 a b) (/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 a (.f64 a b) (.f64 a (.f64 b b)))) (.f64 a (.f64 a (.f64 b b)))) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) (/.f64 #s(literal 1 binary64) a)))

Compiler

Compiled 184 to 102 computations (44.6% saved)

simplify744.0ms (2.9%)

Memory

25.3MiB live, 934.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

20 090×	`lower-fma.f32`
20 086×	`lower-fma.f64`
9 058×	`lower-+.f32`
9 052×	`lower-+.f64`
8 640×	`lower-*.f32`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	31	333
0	60	289
1	136	273
2	418	261
3	2045	251
4	4940	245
5	5646	229
6	6108	205
7	6243	204
8	6263	202
9	6264	202
10	6472	202
11	7490	202
12	7659	202
13	7907	202
14	7988	202
15	7988	202
0	12674	202

Stop Event

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

Calls

Call 1

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

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

localize604.0ms (2.3%)

Memory

-34.6MiB live, 420.3MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))
✓	accuracy	99.8%	(/.f64 (fma.f64 a (.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 b eps))) #s(literal -1/2 binary64))) #s(literal 1 binary64)) a)
✓	accuracy	99.8%	(fma.f64 a (.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 b eps))) #s(literal -1/2 binary64))) #s(literal 1 binary64))
✓	accuracy	40.0%	(.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 b eps))) #s(literal -1/2 binary64)))
✓	accuracy	99.8%	(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
✓	accuracy	57.0%	(.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (*.f64 a b)))
✓	accuracy	17.0%	(/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 a (.f64 a b) (.f64 a (.f64 b b)))) (.f64 a (.f64 a (*.f64 b b))))
✓	accuracy	2.6%	(fma.f64 (+.f64 a b) (/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 a (.f64 a b) (.f64 a (.f64 b b)))) (.f64 a (.f64 a (.f64 b b)))) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) b)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) a)
✓	accuracy	100.0%	(+.f64 a b)
✓	accuracy	100.0%	(*.f64 a b)
✓	accuracy	61.8%	(/.f64 (+.f64 a b) (*.f64 a b))

Samples

534.0ms

256×

valid

Compiler

Compiled 360 to 37 computations (89.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 276.0ms

adjust: 93.0ms (33.7% of total)

ival-add: 62.0ms (22.5% of total)

ival-mult: 59.0ms (21.4% of total)

ival-expm1: 32.0ms (11.6% of total)

ival-div: 26.0ms (9.4% of total)

ival-exp: 4.0ms (1.4% of total)

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

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

exact: 0.0ms (0% of total)

series108.0ms (0.4%)

Memory

14.9MiB live, 132.3MiB allocated

Counts

13 → 312

Calls

Call 1

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

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

78 calls:

Time	Variable		Point	Expression
29.0ms	a	@	-inf	(/ (* -1/2 (+ (* a (* a b)) (* a (* b b)))) (* a (* a (* b b))))
20.0ms	b	@	-inf	(+ (* a (* eps (+ (/ (exp (* b eps)) (- (exp (* b eps)) 1)) -1/2))) 1)
10.0ms	b	@	inf	(+ (* (+ a b) (/ (* -1/2 (+ (* a (* a b)) (* a (* b b)))) (* a (* a (* b b))))) (* (* (+ a b) (+ a b)) (/ 1/2 (* a b))))
6.0ms	a	@	inf	(+ (* (+ a b) (/ (* -1/2 (+ (* a (* a b)) (* a (* b b)))) (* a (* a (* b b))))) (* (* (+ a b) (+ a b)) (/ 1/2 (* a b))))
3.0ms	b	@	0	(/ (+ a b) (* a b))

rewrite353.0ms (1.4%)

Memory

-1.2MiB live, 641.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 162×	`lower-/.f32`
5 148×	`lower-/.f64`
4 890×	`lower-fma.f32`
4 884×	`lower-fma.f64`
4 114×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	150
0	55	144
1	236	139
2	1984	135
0	8441	134

Stop Event

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

Counts

13 → 558

Calls

Call 1

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

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

simplify670.0ms (2.6%)

Memory

12.7MiB live, 611.9MiB allocated

Algorithm

1×	egg-herbie

Rules

11 990×	`lower-fma.f64`
11 990×	`lower-fma.f32`
6 268×	`lower-+.f64`
6 268×	`lower-+.f32`
5 474×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	282	3638
1	814	3286
2	2462	3082
0	8045	2764

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 306

Calls

Call 1

Inputs
(/ 1 a)
(/ (+ 1 (/ a b)) a)
(/ (+ 1 (/ a b)) a)
(/ (+ 1 (/ a b)) a)
(/ 1 b)
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(/ 1 b)
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(/ 1 b)
(/ (+ 1 (/ b a)) b)
(/ (+ 1 (/ b a)) b)
(/ (+ 1 (/ b a)) b)
(/ 1 a)
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(/ 1 a)
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(* 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)
b
(+ a b)
(+ a b)
(+ a b)
a
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
a
(+ a b)
(+ a b)
(+ a b)
b
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ (+ (* -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) (* 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 a)
(/ (- (* -1/2 (/ a b)) 1/2) a)
(/ (- (* -1/2 (/ a b)) 1/2) a)
(/ (- (* -1/2 (/ a b)) 1/2) a)
(/ -1/2 b)
(* -1 (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))))
(* -1 (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))))
(* -1 (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))))
(/ -1/2 b)
(* -1 (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))))
(* -1 (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))))
(* -1 (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 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 a)
(* -1 (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))))
(* -1 (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))))
(* -1 (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))))
(/ -1/2 a)
(* -1 (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))))
(* -1 (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))))
(* -1 (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))))
(* 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)))))
(* 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 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 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
(+ 1 (* a (* eps (- (/ (exp (* b eps)) (- (exp (* b eps)) 1)) 1/2))))
(+ 1 (* a (* eps (- (/ (exp (* b eps)) (- (exp (* b eps)) 1)) 1/2))))
(+ 1 (* a (* eps (- (/ (exp (* b eps)) (- (exp (* b eps)) 1)) 1/2))))
(* a (* eps (- (/ (exp (* b eps)) (- (exp (* b eps)) 1)) 1/2)))
(* a (+ (* eps (- (/ (exp (* b eps)) (- (exp (* b eps)) 1)) 1/2)) (/ 1 a)))
(* a (+ (* eps (- (/ (exp (* b eps)) (- (exp (* b eps)) 1)) 1/2)) (/ 1 a)))
(* a (+ (* eps (- (/ (exp (* b eps)) (- (exp (* b eps)) 1)) 1/2)) (/ 1 a)))
(* a (* eps (- (/ (exp (* b eps)) (- (exp (* b eps)) 1)) 1/2)))
(* -1 (* a (- (* -1 (* eps (- (/ (exp (* b eps)) (- (exp (* b eps)) 1)) 1/2))) (/ 1 a))))
(* -1 (* a (- (* -1 (* eps (- (/ (exp (* b eps)) (- (exp (* b eps)) 1)) 1/2))) (/ 1 a))))
(* -1 (* a (- (* -1 (* eps (- (/ (exp (* b eps)) (- (exp (* b eps)) 1)) 1/2))) (/ 1 a))))
(+ 1 (/ a b))
(+ 1 (+ (* a (* (pow eps 2) (- (* 1/2 b) (+ (* 1/6 b) (* 1/4 b))))) (/ a b)))
(+ 1 (+ (* (pow eps 2) (+ (* a (* eps (- (* 1/6 (pow b 2)) (+ (* 1/24 (pow b 2)) (+ (* 1/12 (pow b 2)) (* 1/2 (* b (- (* 1/2 b) (+ (* 1/6 b) (* 1/4 b)))))))))) (* a (- (* 1/2 b) (+ (* 1/6 b) (* 1/4 b)))))) (/ a b)))
(+ 1 (+ (* (pow eps 2) (+ (* a (- (* 1/2 b) (+ (* 1/6 b) (* 1/4 b)))) (* eps (+ (* a (* eps (- (* 1/24 (pow b 3)) (+ (* 1/120 (pow b 3)) (+ (* 1/48 (pow b 3)) (+ (* 1/6 (* (pow b 2) (- (* 1/2 b) (+ (* 1/6 b) (* 1/4 b))))) (* 1/2 (* b (- (* 1/6 (pow b 2)) (+ (* 1/24 (pow b 2)) (+ (* 1/12 (pow b 2)) (* 1/2 (* b (- (* 1/2 b) (+ (* 1/6 b) (* 1/4 b)))))))))))))))) (* a (- (* 1/6 (pow b 2)) (+ (* 1/24 (pow b 2)) (+ (* 1/12 (pow b 2)) (* 1/2 (* b (- (* 1/2 b) (+ (* 1/6 b) (* 1/4 b))))))))))))) (/ a b)))
(* a (* eps (- (/ (exp (* b eps)) (- (exp (* b eps)) 1)) 1/2)))
(* eps (+ (* a (- (/ (exp (* b eps)) (- (exp (* b eps)) 1)) 1/2)) (/ 1 eps)))
(* eps (+ (* a (- (/ (exp (* b eps)) (- (exp (* b eps)) 1)) 1/2)) (/ 1 eps)))
(* eps (+ (* a (- (/ (exp (* b eps)) (- (exp (* b eps)) 1)) 1/2)) (/ 1 eps)))
(* a (* eps (- (/ (exp (* b eps)) (- (exp (* b eps)) 1)) 1/2)))
(* -1 (* eps (- (* -1 (* a (- (/ (exp (* b eps)) (- (exp (* b eps)) 1)) 1/2))) (/ 1 eps))))
(* -1 (* eps (- (* -1 (* a (- (/ (exp (* b eps)) (- (exp (* b eps)) 1)) 1/2))) (/ 1 eps))))
(* -1 (* eps (- (* -1 (* a (- (/ (exp (* b eps)) (- (exp (* b eps)) 1)) 1/2))) (/ 1 eps))))
(/ a b)
(/ (+ a b) b)
(/ (+ a (* b (+ 1 (* a (* b (* eps (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps))))))))) b)
(/ (+ a (* b (+ 1 (* b (+ (* a (* b (* eps (- (* 1/6 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (+ (* 1/12 (pow eps 2)) (* 1/2 (* eps (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps))))))))))) (* a (* eps (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps)))))))))) b)
(+ 1 (* a (* eps (- (/ (exp (* b eps)) (- (exp (* b eps)) 1)) 1/2))))
(+ 1 (* a (* eps (- (/ (exp (* b eps)) (- (exp (* b eps)) 1)) 1/2))))
(+ 1 (* a (* eps (- (/ (exp (* b eps)) (- (exp (* b eps)) 1)) 1/2))))
(+ 1 (* a (* eps (- (/ (exp (* b eps)) (- (exp (* b eps)) 1)) 1/2))))
(+ 1 (* a (* eps (- (/ (exp (* b eps)) (- (exp (* b eps)) 1)) 1/2))))
(+ 1 (* a (* eps (- (/ (exp (* b eps)) (- (exp (* b eps)) 1)) 1/2))))
(+ 1 (* a (* eps (- (/ (exp (* b eps)) (- (exp (* b eps)) 1)) 1/2))))
(+ 1 (* a (* eps (- (/ (exp (* b eps)) (- (exp (* b eps)) 1)) 1/2))))
(/ 1 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 (* 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 a)
(/.f64 #s(literal 1 binary64) a)
(/ (+ 1 (/ a b)) a)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/ (+ 1 (/ a b)) a)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/ (+ 1 (/ a b)) a)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ (+ 1 (/ b a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/ (+ 1 (/ b a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/ (+ 1 (/ b a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(* 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)
b
(+ a b)
(+.f64 a b)
(+ a b)
(+.f64 a b)
(+ a b)
(+.f64 a b)
a
(* a (+ 1 (/ b a)))
(fma.f64 #s(literal 1 binary64) (/.f64 b #s(literal 1 binary64)) a)
(* a (+ 1 (/ b a)))
(fma.f64 #s(literal 1 binary64) (/.f64 b #s(literal 1 binary64)) a)
(* a (+ 1 (/ b a)))
(fma.f64 #s(literal 1 binary64) (/.f64 b #s(literal 1 binary64)) a)
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(neg.f64 (*.f64 a (-.f64 #s(literal -1 binary64) (/.f64 b a))))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(neg.f64 (*.f64 a (-.f64 #s(literal -1 binary64) (/.f64 b a))))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(neg.f64 (*.f64 a (-.f64 #s(literal -1 binary64) (/.f64 b a))))
a
(+ a b)
(+.f64 a b)
(+ a b)
(+.f64 a b)
(+ a b)
(+.f64 a b)
b
(* b (+ 1 (/ a b)))
(fma.f64 #s(literal 1 binary64) (/.f64 a #s(literal 1 binary64)) b)
(* b (+ 1 (/ a b)))
(fma.f64 #s(literal 1 binary64) (/.f64 a #s(literal 1 binary64)) b)
(* b (+ 1 (/ a b)))
(fma.f64 #s(literal 1 binary64) (/.f64 a #s(literal 1 binary64)) b)
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(neg.f64 (*.f64 b (-.f64 #s(literal -1 binary64) (/.f64 a b))))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(neg.f64 (*.f64 b (-.f64 #s(literal -1 binary64) (/.f64 a b))))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(neg.f64 (*.f64 b (-.f64 #s(literal -1 binary64) (/.f64 a b))))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ (+ (* -1/2 b) (* 1/2 b)) a)
#s(literal 0 binary64)
(/ (+ (* -1/2 b) (* 1/2 b)) a)
#s(literal 0 binary64)
(/ (+ (* -1/2 b) (* 1/2 b)) a)
#s(literal 0 binary64)
(/ (+ (* -1/2 b) (* 1/2 b)) a)
#s(literal 0 binary64)
(/ (+ (* -1/2 b) (* 1/2 b)) a)
#s(literal 0 binary64)
(/ (+ (* -1/2 b) (* 1/2 b)) a)
#s(literal 0 binary64)
(/ (+ (* -1/2 b) (* 1/2 b)) a)
#s(literal 0 binary64)
(/ (+ (* -1/2 b) (* 1/2 b)) a)
#s(literal 0 binary64)
(* -1 (/ (+ (* -1/2 b) (* 1/2 b)) a))
#s(literal 0 binary64)
(* -1 (/ (+ (* -1/2 b) (* 1/2 b)) a))
#s(literal 0 binary64)
(* -1 (/ (+ (* -1/2 b) (* 1/2 b)) a))
#s(literal 0 binary64)
(* -1 (/ (+ (* -1/2 b) (* 1/2 b)) a))
#s(literal 0 binary64)
(/ (+ (* -1/2 a) (* 1/2 a)) b)
#s(literal 0 binary64)
(/ (+ (* -1/2 a) (* 1/2 a)) b)
#s(literal 0 binary64)
(/ (+ (* -1/2 a) (* 1/2 a)) b)
#s(literal 0 binary64)
(/ (+ (* -1/2 a) (* 1/2 a)) b)
#s(literal 0 binary64)
(/ (+ (* -1/2 a) (* 1/2 a)) b)
#s(literal 0 binary64)
(/ (+ (* -1/2 a) (* 1/2 a)) b)
#s(literal 0 binary64)
(/ (+ (* -1/2 a) (* 1/2 a)) b)
#s(literal 0 binary64)
(/ (+ (* -1/2 a) (* 1/2 a)) b)
#s(literal 0 binary64)
(* -1 (/ (+ (* -1/2 a) (* 1/2 a)) b))
#s(literal 0 binary64)
(* -1 (/ (+ (* -1/2 a) (* 1/2 a)) b))
#s(literal 0 binary64)
(* -1 (/ (+ (* -1/2 a) (* 1/2 a)) b))
#s(literal 0 binary64)
(* -1 (/ (+ (* -1/2 a) (* 1/2 a)) b))
#s(literal 0 binary64)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ (- (* -1/2 (/ a b)) 1/2) a)
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(/ (- (* -1/2 (/ a b)) 1/2) a)
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(/ (- (* -1/2 (/ a b)) 1/2) a)
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(/ -1/2 b)
(/.f64 #s(literal -1/2 binary64) b)
(* -1 (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))))
(+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(* -1 (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))))
(+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(* -1 (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))))
(+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(/ -1/2 b)
(/.f64 #s(literal -1/2 binary64) b)
(* -1 (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))))
(+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(* -1 (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))))
(+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(* -1 (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))))
(+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(/ -1/2 b)
(/.f64 #s(literal -1/2 binary64) b)
(/ (- (* -1/2 (/ b a)) 1/2) b)
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))
(/ (- (* -1/2 (/ b a)) 1/2) b)
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))
(/ (- (* -1/2 (/ b a)) 1/2) b)
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(* -1 (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))))
(+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(* -1 (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))))
(+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(* -1 (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))))
(+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(* -1 (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))))
(+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(* -1 (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))))
(+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(* -1 (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))))
(+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(* 1/2 (/ b a))
(/.f64 (*.f64 b #s(literal 1/2 binary64)) a)
(/ (+ a (* 1/2 b)) a)
(/.f64 (fma.f64 b #s(literal 1/2 binary64) a) a)
(/ (+ (* 1/2 b) (* a (+ 1 (* 1/2 (/ a b))))) a)
(/.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (fma.f64 a (/.f64 a b) b))) a)
(/ (+ (* 1/2 b) (* a (+ 1 (* 1/2 (/ a b))))) a)
(/.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (fma.f64 a (/.f64 a b) b))) a)
(* 1/2 (/ a b))
(*.f64 a (/.f64 #s(literal 1/2 binary64) b))
(* a (+ (/ 1 a) (* 1/2 (/ 1 b))))
(fma.f64 a (/.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64))
(* a (+ (* 1/2 (/ b (pow a 2))) (+ (/ 1 a) (* 1/2 (/ 1 b)))))
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(* a (+ (* 1/2 (/ b (pow a 2))) (+ (/ 1 a) (* 1/2 (/ 1 b)))))
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(/.f64 (fma.f64 b (fma.f64 a (.f64 (.f64 b eps) (fma.f64 b (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/12 binary64))))) (*.f64 eps #s(literal 1/12 binary64)))) #s(literal 1 binary64)) a) b)
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(fma.f64 a (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 b eps))))) #s(literal 1 binary64))
(+ 1 (* a (* eps (- (/ (exp (* b eps)) (- (exp (* b eps)) 1)) 1/2))))
(fma.f64 a (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 b eps))))) #s(literal 1 binary64))
(+ 1 (* a (* eps (- (/ (exp (* b eps)) (- (exp (* b eps)) 1)) 1/2))))
(fma.f64 a (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 b eps))))) #s(literal 1 binary64))
(+ 1 (* a (* eps (- (/ (exp (* b eps)) (- (exp (* b eps)) 1)) 1/2))))
(fma.f64 a (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 b eps))))) #s(literal 1 binary64))
(+ 1 (* a (* eps (- (/ (exp (* b eps)) (- (exp (* b eps)) 1)) 1/2))))
(fma.f64 a (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 b eps))))) #s(literal 1 binary64))
(+ 1 (* a (* eps (- (/ (exp (* b eps)) (- (exp (* b eps)) 1)) 1/2))))
(fma.f64 a (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 b eps))))) #s(literal 1 binary64))
(+ 1 (* a (* eps (- (/ (exp (* b eps)) (- (exp (* b eps)) 1)) 1/2))))
(fma.f64 a (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 b eps))))) #s(literal 1 binary64))
(+ 1 (* a (* eps (- (/ (exp (* b eps)) (- (exp (* b eps)) 1)) 1/2))))
(fma.f64 a (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 b eps))))) #s(literal 1 binary64))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ (+ 1 (* a (* eps (- (/ (exp (* b eps)) (- (exp (* b eps)) 1)) 1/2)))) a)
(/.f64 (fma.f64 a (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 b eps))))) #s(literal 1 binary64)) a)
(/ (+ 1 (* a (* eps (- (/ (exp (* b eps)) (- (exp (* b eps)) 1)) 1/2)))) a)
(/.f64 (fma.f64 a (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 b eps))))) #s(literal 1 binary64)) a)
(/ (+ 1 (* a (* eps (- (/ (exp (* b eps)) (- (exp (* b eps)) 1)) 1/2)))) a)
(/.f64 (fma.f64 a (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 b eps))))) #s(literal 1 binary64)) a)
(* 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)) (/ 1 a))
(fma.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))) (/.f64 #s(literal 1 binary64) a))
(+ (* eps (- (/ (exp (* b eps)) (- (exp (* b eps)) 1)) 1/2)) (/ 1 a))
(fma.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))) (/.f64 #s(literal 1 binary64) a))
(+ (* eps (- (/ (exp (* b eps)) (- (exp (* b eps)) 1)) 1/2)) (/ 1 a))
(fma.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))) (/.f64 #s(literal 1 binary64) a))
(* eps (- (/ (exp (* b eps)) (- (exp (* b eps)) 1)) 1/2))
(.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 b eps)))))
(+ (* eps (- (/ (exp (* b eps)) (- (exp (* b eps)) 1)) 1/2)) (/ 1 a))
(fma.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))) (/.f64 #s(literal 1 binary64) a))
(+ (* eps (- (/ (exp (* b eps)) (- (exp (* b eps)) 1)) 1/2)) (/ 1 a))
(fma.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))) (/.f64 #s(literal 1 binary64) a))
(+ (* eps (- (/ (exp (* b eps)) (- (exp (* b eps)) 1)) 1/2)) (/ 1 a))
(fma.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))) (/.f64 #s(literal 1 binary64) a))
(/ (+ 1 (/ a b)) a)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(+ (* (pow eps 2) (- (* 1/2 b) (+ (* 1/6 b) (* 1/4 b)))) (+ (/ 1 a) (/ 1 b)))
(+.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 eps (.f64 eps (.f64 b #s(literal 1/12 binary64))) (/.f64 #s(literal 1 binary64) 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)))
(+.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 (.f64 eps eps) (fma.f64 eps (fma.f64 b (.f64 b #s(literal 1/24 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 b (.f64 b #s(literal 1/12 binary64))))) (.f64 b #s(literal 1/12 binary64))) (/.f64 #s(literal 1 binary64) 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)))
(+.f64 (/.f64 #s(literal 1 binary64) b) (fma.f64 (.f64 eps eps) (fma.f64 eps (fma.f64 eps (-.f64 (.f64 (.f64 b (.f64 b b)) #s(literal 1/80 binary64)) (fma.f64 (.f64 b #s(literal 1/2 binary64)) (fma.f64 b (.f64 b #s(literal 1/24 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 b (.f64 b #s(literal 1/12 binary64))))) (.f64 (.f64 b b) (.f64 #s(literal 1/6 binary64) (.f64 b #s(literal 1/12 binary64)))))) (fma.f64 b (.f64 b #s(literal 1/24 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 b (.f64 b #s(literal 1/12 binary64)))))) (.f64 b #s(literal 1/12 binary64))) (/.f64 #s(literal 1 binary64) a)))
(* eps (- (/ (exp (* b eps)) (- (exp (* b eps)) 1)) 1/2))
(.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 b eps)))))
(* eps (- (+ (/ 1 (* a eps)) (/ (exp (* b eps)) (- (exp (* b eps)) 1))) 1/2))
(fma.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))) (/.f64 #s(literal 1 binary64) a))
(* eps (- (+ (/ 1 (* a eps)) (/ (exp (* b eps)) (- (exp (* b eps)) 1))) 1/2))
(fma.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))) (/.f64 #s(literal 1 binary64) a))
(* eps (- (+ (/ 1 (* a eps)) (/ (exp (* b eps)) (- (exp (* b eps)) 1))) 1/2))
(fma.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))) (/.f64 #s(literal 1 binary64) a))
(* eps (- (/ (exp (* b eps)) (- (exp (* b eps)) 1)) 1/2))
(.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 b eps)))))
(* -1 (* eps (- (* -1 (- (/ (exp (* b eps)) (- (exp (* b eps)) 1)) 1/2)) (/ 1 (* a eps)))))
(fma.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))) (/.f64 #s(literal 1 binary64) a))
(* -1 (* eps (- (* -1 (- (/ (exp (* b eps)) (- (exp (* b eps)) 1)) 1/2)) (/ 1 (* a eps)))))
(fma.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))) (/.f64 #s(literal 1 binary64) a))
(* -1 (* eps (- (* -1 (- (/ (exp (* b eps)) (- (exp (* b eps)) 1)) 1/2)) (/ 1 (* a eps)))))
(fma.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))) (/.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 (+ (* b (* eps (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps))))) (/ 1 a)))) b)
(/.f64 (fma.f64 b (fma.f64 (.f64 b eps) (.f64 eps #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) 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)
(/.f64 (fma.f64 b (fma.f64 (.f64 b eps) (fma.f64 b (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/12 binary64))))) (.f64 eps #s(literal 1/12 binary64))) (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) b)
(/ (+ 1 (* a (* eps (- (/ (exp (* b eps)) (- (exp (* b eps)) 1)) 1/2)))) a)
(/.f64 (fma.f64 a (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 b eps))))) #s(literal 1 binary64)) a)
(/ (+ 1 (* a (* eps (- (/ (exp (* b eps)) (- (exp (* b eps)) 1)) 1/2)))) a)
(/.f64 (fma.f64 a (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 b eps))))) #s(literal 1 binary64)) a)
(/ (+ 1 (* a (* eps (- (/ (exp (* b eps)) (- (exp (* b eps)) 1)) 1/2)))) a)
(/.f64 (fma.f64 a (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 b eps))))) #s(literal 1 binary64)) a)
(/ (+ 1 (* a (* eps (- (/ (exp (* b eps)) (- (exp (* b eps)) 1)) 1/2)))) a)
(/.f64 (fma.f64 a (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 b eps))))) #s(literal 1 binary64)) a)
(/ (+ 1 (* a (* eps (- (/ (exp (* b eps)) (- (exp (* b eps)) 1)) 1/2)))) a)
(/.f64 (fma.f64 a (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 b eps))))) #s(literal 1 binary64)) a)
(/ (+ 1 (* a (* eps (- (/ (exp (* b eps)) (- (exp (* b eps)) 1)) 1/2)))) a)
(/.f64 (fma.f64 a (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 b eps))))) #s(literal 1 binary64)) a)
(/ (+ 1 (* a (* eps (- (/ (exp (* b eps)) (- (exp (* b eps)) 1)) 1/2)))) a)
(/.f64 (fma.f64 a (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 b eps))))) #s(literal 1 binary64)) a)
(/ (+ 1 (* a (* eps (- (/ (exp (* b eps)) (- (exp (* b eps)) 1)) 1/2)))) a)
(/.f64 (fma.f64 a (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 b eps))))) #s(literal 1 binary64)) a)
(/ 1 (* b eps))
(/.f64 #s(literal 1 binary64) (*.f64 b eps))
(/ (+ (* 1/2 b) (/ 1 eps)) b)
(/.f64 (fma.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 (fma.f64 b (fma.f64 b (*.f64 eps #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) eps)) b)
(/ (+ (* b (+ 1/2 (* b (- (+ (* 1/2 eps) (* b (- (* 1/6 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (+ (* 1/12 (pow eps 2)) (* 1/2 (* eps (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps)))))))))) (+ (* 1/6 eps) (* 1/4 eps)))))) (/ 1 eps)) b)
(/.f64 (fma.f64 b (fma.f64 b (fma.f64 b (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/12 binary64))))) (*.f64 eps #s(literal 1/12 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) eps)) b)
(/ (exp (* b eps)) (- (exp (* b eps)) 1))
(/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))
(/ (exp (* b eps)) (- (exp (* b eps)) 1))
(/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))
(/ (exp (* b eps)) (- (exp (* b eps)) 1))
(/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))
(/ (exp (* b eps)) (- (exp (* b eps)) 1))
(/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))
(/ (exp (* b eps)) (- (exp (* b eps)) 1))
(/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))
(/ (exp (* b eps)) (- (exp (* b eps)) 1))
(/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))
(/ (exp (* b eps)) (- (exp (* b eps)) 1))
(/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))
(/ (exp (* b eps)) (- (exp (* b eps)) 1))
(/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))
(/ 1 (* b eps))
(/.f64 #s(literal 1 binary64) (*.f64 b eps))
(/ (+ (* 1/2 eps) (/ 1 b)) eps)
(/.f64 (fma.f64 #s(literal 1/2 binary64) eps (/.f64 #s(literal 1 binary64) b)) eps)
(/ (+ (* eps (+ 1/2 (* eps (- (* 1/2 b) (+ (* 1/6 b) (* 1/4 b)))))) (/ 1 b)) eps)
(/.f64 (fma.f64 eps (fma.f64 eps (*.f64 b #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) b)) eps)
(/ (+ (* eps (+ 1/2 (* eps (- (+ (* 1/2 b) (* eps (- (* 1/6 (pow b 2)) (+ (* 1/24 (pow b 2)) (+ (* 1/12 (pow b 2)) (* 1/2 (* b (- (* 1/2 b) (+ (* 1/6 b) (* 1/4 b)))))))))) (+ (* 1/6 b) (* 1/4 b)))))) (/ 1 b)) eps)
(/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 b (.f64 b #s(literal 1/24 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 b (.f64 b #s(literal 1/12 binary64))))) (*.f64 b #s(literal 1/12 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) b)) eps)
(/ (exp (* b eps)) (- (exp (* b eps)) 1))
(/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))
(/ (exp (* b eps)) (- (exp (* b eps)) 1))
(/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))
(/ (exp (* b eps)) (- (exp (* b eps)) 1))
(/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))
(/ (exp (* b eps)) (- (exp (* b eps)) 1))
(/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))
(/ (exp (* b eps)) (- (exp (* b eps)) 1))
(/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))
(/ (exp (* b eps)) (- (exp (* b eps)) 1))
(/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))
(/ (exp (* b eps)) (- (exp (* b eps)) 1))
(/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))
(/ (exp (* b eps)) (- (exp (* b eps)) 1))
(/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))

eval764.0ms (3%)

Memory: -14.0MiB live, 207.0MiB allocated
Compiler: Compiled 42 979 to 2 991 computations (93% saved)

prune161.0ms (0.6%)

Memory

5.3MiB live, 204.5MiB allocated

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	1 135	3	1 138
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	1 137	6	1 143

Accuracy

100.0%

Counts

1 143 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	61.8%	(/.f64 (+.f64 a b) (*.f64 a b))
▶	99.7%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
✓	47.0%	(/.f64 #s(literal 1 binary64) b)
✓	52.1%	(/.f64 #s(literal 1 binary64) a)
▶	99.9%	(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
▶	58.8%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 a b)) (+.f64 a b))

Compiler

Compiled 54 to 38 computations (29.6% saved)

simplify381.0ms (1.5%)

Memory

-5.2MiB live, 478.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Rules

8 498×	`lower-*.f32`
8 494×	`lower-*.f64`
5 974×	`lower-fma.f64`
5 974×	`lower-fma.f32`
3 590×	`cube-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	57
0	23	61
1	39	55
2	76	55
3	149	55
4	318	55
5	1133	55
6	2829	55
7	3635	55
8	4852	55
9	6217	55
10	7044	55
11	7457	55
12	7554	55
13	7868	55
14	7884	55
0	9064	55

Stop Event

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

Calls

Call 1

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

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

localize45.0ms (0.2%)

Memory

11.3MiB live, 89.7MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 b a)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 b a))
✓	accuracy	99.8%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
✓	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) a) (/.f64 #s(literal 1 binary64) b))
✓	accuracy	100.0%	(+.f64 a b)
✓	accuracy	100.0%	(*.f64 a b)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (*.f64 a b))
✓	accuracy	58.8%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 a b)) (+.f64 a b))

Samples

30.0ms

256×

valid

Compiler

Compiled 59 to 16 computations (72.9% saved)

Precisions

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

ival-div: 8.0ms (53.1% of total)

ival-add: 3.0ms (19.9% of total)

ival-mult: 3.0ms (19.9% 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

16.2MiB live, 16.2MiB allocated

Counts

10 → 216

Calls

Call 1

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

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

54 calls:

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

rewrite284.0ms (1.1%)

Memory

1.7MiB live, 601.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 612×	`lower-fma.f64`
5 612×	`lower-fma.f32`
4 246×	`lower-*.f32`
4 242×	`lower-*.f64`
3 516×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	48
0	23	52
1	108	46
2	972	46
0	9133	46

Stop Event

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

Counts

10 → 1 314

Calls

Call 1

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

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

simplify286.0ms (1.1%)

Memory

0.8MiB live, 204.1MiB allocated

Algorithm

1×	egg-herbie

Rules

2 716×	`lower-fma.f64`
2 716×	`lower-fma.f32`
2 574×	`lower-*.f64`
2 574×	`lower-*.f32`
2 000×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	930
1	76	930
2	148	930
3	454	930
4	2152	930
5	4063	930
6	5336	930
7	6202	930
8	7260	930
0	8011	930

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 210

Calls

Call 1

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

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

eval167.0ms (0.7%)

Memory: -13.5MiB live, 325.8MiB allocated
Compiler: Compiled 25 389 to 1 461 computations (94.2% saved)

prune89.0ms (0.3%)

Memory

23.0MiB live, 181.5MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	1 523	1	1 524
Fresh	0	0	0
Picked	0	3	3
Done	0	3	3
Total	1 523	7	1 530

Accuracy

100.0%

Counts

1 530 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.9%	(/.f64 (/.f64 b a) b)
✓	61.8%	(/.f64 (+.f64 a b) (*.f64 a b))
✓	99.7%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
✓	47.0%	(/.f64 #s(literal 1 binary64) b)
✓	52.1%	(/.f64 #s(literal 1 binary64) a)
✓	99.9%	(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
✓	58.8%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 a b)) (+.f64 a b))

Compiler

Compiled 62 to 43 computations (30.6% saved)

simplify4.0ms (0%)

Memory

6.4MiB live, 6.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

8×	`lower-/.f32`
4×	`lift-/.f64`
4×	`lower-*.f64`
4×	`lower-/.f64`
4×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	10
1	8	10
2	11	8
3	12	8
4	14	8
0	14	8

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (/.f64 b a) b)
(/.f64 b a)
b
a

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

localize16.0ms (0.1%)

Memory

-15.5MiB live, 23.0MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

11.0ms

256×

valid

Compiler

Compiled 12 to 7 computations (41.7% saved)

Precisions

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

ival-div: 4.0ms (106% of total)

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

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

series1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Counts

2 → 48

Calls

Call 1

Inputs
#<alt (/.f64 (/.f64 b a) b)>
#<alt (/.f64 b a)>

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

Calls

12 calls:

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

rewrite123.0ms (0.5%)

Memory

-15.2MiB live, 118.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 518×	`lower-*.f64`
1 518×	`lower-*.f32`
1 264×	`lower-/.f32`
1 260×	`lower-/.f64`
464×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	8
1	22	8
2	124	6
3	714	6
0	3140	6

Stop Event

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

Counts

2 → 219

Calls

Call 1

Inputs
(/.f64 (/.f64 b a) b)
(/.f64 b a)

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

simplify6.0ms (0%)

Memory

6.7MiB live, 6.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 48

Calls

Call 1

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

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

eval34.0ms (0.1%)

Memory: 4.6MiB live, 41.9MiB allocated
Compiler: Compiled 2 694 to 512 computations (81% saved)

prune39.0ms (0.2%)

Memory

-12.4MiB live, 68.1MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	266	1	267
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	266	8	274

Accuracy

100.0%

Counts

274 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.9%	(/.f64 (/.f64 b a) b)
✓	61.8%	(/.f64 (+.f64 a b) (*.f64 a b))
✓	99.7%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
	32.8%	(/.f64 b (*.f64 b a))
✓	47.0%	(/.f64 #s(literal 1 binary64) b)
✓	52.1%	(/.f64 #s(literal 1 binary64) a)
✓	99.9%	(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
✓	58.8%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 a b)) (+.f64 a b))

Compiler

Compiled 207 to 98 computations (52.7% saved)

regimes15.0ms (0.1%)

Memory

28.5MiB live, 28.5MiB 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) (*.f64 a b))
(/.f64 (/.f64 b a) b)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 a b)) (+.f64 a b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(+.f64 (/.f64 #s(literal 1 binary64) b) (fma.f64 eps (fma.f64 (+.f64 a b) (/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 a (.f64 a b) (.f64 a (.f64 b b)))) (.f64 a (.f64 a (.f64 b b)))) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) (/.f64 #s(literal 1 binary64) a)))
(/.f64 (fma.f64 a (.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 b eps))) #s(literal -1/2 binary64))) #s(literal 1 binary64)) a)
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))

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

Calls

4 calls:

4.0ms	eps
4.0ms	a
4.0ms	b
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)

regimes12.0ms (0%)

Memory

-17.5MiB live, 20.6MiB allocated

Counts

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
84.7%	3	`a`
83.2%	2	`b`
72.5%	3	`eps`
61.8%	1	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes5.0ms (0%)

Memory

11.7MiB live, 11.7MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
52.1%	1	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`
52.1%	1	`eps`
52.1%	1	`a`
52.1%	1	`b`

Compiler

Compiled 39 to 26 computations (33.3% saved)

bsearch16.0ms (0.1%)

Memory

-12.3MiB live, 24.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	4.849470176181419e-198	8.845980025404965e-197

Samples

11.0ms

112×

valid

Compiler

Compiled 128 to 103 computations (19.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 5.0ms (60.9% of total)

ival-expm1: 2.0ms (24.4% of total)

ival-div: 1.0ms (12.2% of total)

ival-add: 1.0ms (12.2% of total)

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

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

simplify6.0ms (0%)

Memory

12.2MiB live, 12.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	13	20

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 b #s(literal 3703135674690055/42081087212386988057927919063041029324402718422585390875986247224549857234376646576909332290220707609815863750849425741704155458001470430905022518165215046799641789369027556785533310063074581738170346013886251008 binary64)) (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))

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

Outputs

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

(if (<=.f64 b #s(literal 3703135674690055/42081087212386988057927919063041029324402718422585390875986247224549857234376646576909332290220707609815863750849425741704155458001470430905022518165215046799641789369027556785533310063074581738170346013886251008 binary64)) (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))

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

soundness315.0ms (1.2%)

Memory

9.9MiB live, 243.8MiB allocated

Rules

11 990×	`lower-fma.f64`
11 990×	`lower-fma.f32`
9 330×	`lower-fma.f64`
9 330×	`lower-fma.f32`
7 346×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	282	3638
1	814	3286
2	2462	3082
0	8045	2764
0	336	2612
1	1079	2564
2	3426	2564
0	8507	2144

Stop Event

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

Compiler

Compiled 61 to 38 computations (37.7% saved)

preprocess36.0ms (0.1%)

Memory: 8.5MiB live, 83.3MiB allocated
Remove: (sort a b)
Compiler: Compiled 140 to 82 computations (41.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze186.0ms (0.7%)

sample18.5s (72.1%)

preprocess279.0ms (1.1%)

explain274.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify247.0ms (1%)

localize53.0ms (0.2%)

series31.0ms (0.1%)

rewrite290.0ms (1.1%)

simplify373.0ms (1.5%)

eval65.0ms (0.3%)

prune84.0ms (0.3%)

simplify744.0ms (2.9%)

localize604.0ms (2.3%)

series108.0ms (0.4%)

rewrite353.0ms (1.4%)

simplify670.0ms (2.6%)

eval764.0ms (3%)

prune161.0ms (0.6%)

simplify381.0ms (1.5%)

localize45.0ms (0.2%)

series6.0ms (0%)

rewrite284.0ms (1.1%)

simplify286.0ms (1.1%)

eval167.0ms (0.7%)

prune89.0ms (0.3%)

simplify4.0ms (0%)

localize16.0ms (0.1%)

series1.0ms (0%)

rewrite123.0ms (0.5%)

simplify6.0ms (0%)

eval34.0ms (0.1%)

prune39.0ms (0.2%)

regimes15.0ms (0.1%)

regimes12.0ms (0%)

regimes5.0ms (0%)

bsearch16.0ms (0.1%)

simplify6.0ms (0%)

soundness315.0ms (1.2%)

preprocess36.0ms (0.1%)

end0.0ms (0%)

Profiling