Metrics for expq3 (problem 3.4.2)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze216.0ms (0.8%)

Memory

-22.9MiB live, 201.7MiB 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)

sample20.6s (79.6%)

Memory

167.0MiB live, 17 208.1MiB allocated

Samples

13.5s	61 845×	0	invalid
1.6s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 11.7s

ival-mult: 3.8s (32.9% of total)

ival-expm1: 1.9s (16.3% of total)

const: 1.7s (14.8% of total)

ival-add: 1.0s (8.7% of total)

ival-<=: 984.0ms (8.4% of total)

ival-fabs: 877.0ms (7.5% of total)

ival-div: 570.0ms (4.9% of total)

ival-fmin: 490.0ms (4.2% of total)

ival-and: 205.0ms (1.8% of total)

exact: 50.0ms (0.4% of total)

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

Bogosity

explain496.0ms (1.9%)

Memory

6.7MiB live, 400.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
228	0	-	13	(-6.509649124447784e-34 7.170985671480994e-267 2.1943656895043192e-278)	`(/.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	114	(7.631271233168505e-102 -5.110015761843241e-270 2.2553888246692154e-292)	9	(-6.509649124447784e-34 7.170985671480994e-267 2.1943656895043192e-278)	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`
115	141	(7.631271233168505e-102 -5.110015761843241e-270 2.2553888246692154e-292)	7	(-6.509649124447784e-34 7.170985671480994e-267 2.1943656895043192e-278)	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`
103	153	(7.631271233168505e-102 -5.110015761843241e-270 2.2553888246692154e-292)	7	(-6.824973935262912e-61 -4.168166651529989e-151 1.2639297358788223e-162)	`(-.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	10	(-1.5953339817382424e-243 -3.282262603440717e-53 3.410253843318832e-262)	0	-	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`
0	1	(2.1463055640687328e-283 9.644357259208568e-227 3.68932317606807e-309)	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 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	cancellation	249	0
`-.f64`	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	cancellation	249	0
`-.f64`	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`	cancellation	247	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))))`	u/n	119	0
↳	`(.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))`	underflow	205
↳	`(*.f64 (+.f64 a b) eps)`	underflow	113
↳	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`	underflow	113
`/.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	75	0
↳	`(.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))`	underflow	205
↳	`(*.f64 (+.f64 a b) eps)`	underflow	113
↳	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`	underflow	113
↳	`(*.f64 b eps)`	underflow	150
↳	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	underflow	141
↳	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	underflow	150
↳	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`	underflow	225
↳	`(*.f64 a eps)`	underflow	141
`/.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	21	0
↳	`(*.f64 b eps)`	underflow	150
↳	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	underflow	141
↳	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	underflow	150
↳	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`	underflow	225
↳	`(*.f64 a eps)`	underflow	141
`*.f64`	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`	*nu**	10	0
`*.f64`	`(.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))`	*nu**	1	0

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
2	9
3	36
4	210
5	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

95.0ms

512×

valid

Compiler

Compiled 424 to 106 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-mult: 48.0ms (65.7% of total)

ival-exp: 10.0ms (13.7% of total)

ival-expm1: 8.0ms (11% of total)

ival-div: 3.0ms (4.1% of total)

ival-add: 3.0ms (4.1% of total)

ival-true: 1.0ms (1.4% of total)

exact: 0.0ms (0% of total)

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

preprocess257.0ms (1%)

Memory

4.9MiB live, 120.5MiB allocated

Algorithm

1×	egg-herbie

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

Symmetry

(sort a b)

Compiler

Compiled 24 to 17 computations (29.2% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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 24 to 17 computations (29.2% saved)

simplify176.0ms (0.7%)

Memory

6.4MiB live, 84.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))
cost-diff	6336	(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))
cost-diff	6336	(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))
cost-diff	6336	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))

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

localize49.0ms (0.2%)

Memory

8.2MiB live, 45.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	24.232677026228465	(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))
accuracy	24.951510913755115	(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))
accuracy	31.960113712615758	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))
accuracy	54.8382980698871	(/.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

38.0ms

256×

valid

Compiler

Compiled 200 to 36 computations (82% saved)

Precisions

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

ival-mult: 8.0ms (39.9% of total)

ival-exp: 5.0ms (25% of total)

ival-expm1: 4.0ms (20% of total)

ival-div: 2.0ms (10% of total)

ival-add: 2.0ms (10% of total)

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

exact: 0.0ms (0% of total)

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

series58.0ms (0.2%)

Memory

-15.7MiB live, 21.6MiB allocated

Counts

5 → 59

Calls

Call 1

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

Calls

9 calls:

Time	Variable		Point	Expression
37.0ms	eps	@	inf	((- (exp (* (+ a b) eps)) 1) (- (exp (* a eps)) 1) (- (exp (* b eps)) 1) (* eps (- (exp (* (+ a b) eps)) 1)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))))
4.0ms	eps	@	0	((- (exp (* (+ a b) eps)) 1) (- (exp (* a eps)) 1) (- (exp (* b eps)) 1) (* eps (- (exp (* (+ a b) eps)) 1)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))))
3.0ms	b	@	-inf	((- (exp (* (+ a b) eps)) 1) (- (exp (* a eps)) 1) (- (exp (* b eps)) 1) (* eps (- (exp (* (+ a b) eps)) 1)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))))
3.0ms	eps	@	-inf	((- (exp (* (+ a b) eps)) 1) (- (exp (* a eps)) 1) (- (exp (* b eps)) 1) (* eps (- (exp (* (+ a b) eps)) 1)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))))
2.0ms	a	@	0	((- (exp (* (+ a b) eps)) 1) (- (exp (* a eps)) 1) (- (exp (* b eps)) 1) (* eps (- (exp (* (+ a b) eps)) 1)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))))

simplify173.0ms (0.7%)

Memory

18.7MiB live, 132.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	370	2068
1	1205	2020
2	3798	2020
0	8068	1792

Stop Event

1×	iter limit
1×	node limit

Counts

59 → 59

Calls

Call 1

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

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

rewrite142.0ms (0.5%)

Memory

12.0MiB live, 206.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	54
0	30	54
1	108	54
2	766	54
0	8486	40

Stop Event

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

Counts

5 → 416

Calls

Call 1

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

eval44.0ms (0.2%)

Memory: 0.8MiB live, 82.8MiB allocated
Compiler: Compiled 18 301 to 1 811 computations (90.1% saved)

prune10.0ms (0%)

Memory

-7.7MiB live, 30.8MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	462	5	467
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	463	5	468

Accuracy

100.0%

Counts

468 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	30.4%	(.f64 (/.f64 eps (expm1.f64 (.f64 (.f64 eps a) #s(literal 3 binary64)))) (.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 eps) (.f64 #s(literal 2 binary64) a)) (pow.f64 (exp.f64 eps) a)) #s(literal 1 binary64)) (/.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (expm1.f64 (*.f64 eps b)))))
▶	37.4%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64)) (.f64 b b)) (/.f64 (/.f64 (+.f64 b a) a) a) (.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a))) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))
▶	99.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) b) a))
▶	49.2%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
▶	48.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))

Compiler

Compiled 382 to 250 computations (34.6% saved)

simplify155.0ms (0.6%)

Memory

4.8MiB live, 196.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(expm1.f64 (.f64 (.f64 eps a) #s(literal 3 binary64)))
cost-diff	0	(/.f64 eps (expm1.f64 (.f64 (.f64 eps a) #s(literal 3 binary64))))
cost-diff	0	(.f64 (/.f64 eps (expm1.f64 (.f64 (.f64 eps a) #s(literal 3 binary64)))) (.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 eps) (.f64 #s(literal 2 binary64) a)) (pow.f64 (exp.f64 eps) a)) #s(literal 1 binary64)) (/.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (expm1.f64 (*.f64 eps b)))))
cost-diff	128	(+.f64 (+.f64 (pow.f64 (exp.f64 eps) (*.f64 #s(literal 2 binary64) a)) (pow.f64 (exp.f64 eps) a)) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64)) (.f64 b b)) (/.f64 (/.f64 (+.f64 b a) a) a) (.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a))) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))
cost-diff	512	(fma.f64 (.f64 b a) b (.f64 (*.f64 b a) a))
cost-diff	640	(/.f64 (.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64)) (*.f64 b b))
cost-diff	1664	(fma.f64 (/.f64 (.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64)) (.f64 b b)) (/.f64 (/.f64 (+.f64 b a) a) a) (.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a)))
cost-diff	0	(/.f64 #s(literal 1 binary64) b)
cost-diff	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
cost-diff	0	(/.f64 #s(literal 1 binary64) a)
cost-diff	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
cost-diff	0	(+.f64 b a)
cost-diff	0	(/.f64 (+.f64 b a) b)
cost-diff	0	(/.f64 (/.f64 (+.f64 b a) b) a)
cost-diff	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) b) a))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	531
0	105	497
1	201	497
2	452	494
3	1665	480
4	5685	460
0	8876	449

Stop Event

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

Calls

Call 1

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

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

localize667.0ms (2.6%)

Memory

-258.6MiB live, 517.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.1484375	(.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 eps) (.f64 #s(literal 2 binary64) a)) (pow.f64 (exp.f64 eps) a)) #s(literal 1 binary64)) (/.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (expm1.f64 (.f64 eps b))))
accuracy	0.31087875976844204	(.f64 (/.f64 eps (expm1.f64 (.f64 (.f64 eps a) #s(literal 3 binary64)))) (.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 eps) (.f64 #s(literal 2 binary64) a)) (pow.f64 (exp.f64 eps) a)) #s(literal 1 binary64)) (/.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (expm1.f64 (*.f64 eps b)))))
accuracy	35.345319767328476	(/.f64 eps (expm1.f64 (.f64 (.f64 eps a) #s(literal 3 binary64))))
accuracy	35.34592100229005	(/.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (expm1.f64 (.f64 eps b)))
accuracy	0.32650375976844204	(*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a))
accuracy	12.698460970081651	(/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a)
accuracy	39.66879373466581	(/.f64 (.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64)) (*.f64 b b))
accuracy	62.426935039606235	(fma.f64 (/.f64 (.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64)) (.f64 b b)) (/.f64 (/.f64 (+.f64 b a) a) a) (.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a)))
accuracy	0	(/.f64 #s(literal 1 binary64) b)
accuracy	32.51598071445863	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
accuracy	0	(/.f64 #s(literal 1 binary64) a)
accuracy	32.767394472453674	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
accuracy	0	(+.f64 b a)
accuracy	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) b) a))
accuracy	0.0234375	(/.f64 (+.f64 b a) b)
accuracy	0.11328125	(/.f64 (/.f64 (+.f64 b a) b) a)

Samples

600.0ms

256×

valid

Compiler

Compiled 1 033 to 123 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 497.0ms

adjust: 320.0ms (64.3% of total)

ival-mult: 63.0ms (12.7% of total)

ival-div: 57.0ms (11.5% of total)

ival-add: 20.0ms (4% of total)

ival-expm1: 15.0ms (3% of total)

ival-pow: 13.0ms (2.6% of total)

ival-pow2: 6.0ms (1.2% of total)

ival-exp: 2.0ms (0.4% of total)

exact: 1.0ms (0.2% of total)

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

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

series207.0ms (0.8%)

Memory

-7.4MiB live, 271.3MiB allocated

Counts

20 → 134

Calls

Call 1

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

Outputs
(/ 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)
(/ (+ 1 (/ a b)) a)
1
(+ 1 (/ a b))
b
(+ a b)
(/ (+ (* -1/2 b) (* 1/2 b)) a)
(* -1/2 a)
(* a (- (* -1/2 (/ a b)) 1/2))
(* a (pow b 2))
(* a (+ (* a b) (pow b 2)))
3
(+ 3 (* a (+ eps (* 2 eps))))
(+ 3 (* a (+ eps (+ (* 2 eps) (* a (+ (* 1/2 (pow eps 2)) (* 2 (pow eps 2))))))))
(+ 3 (* a (+ eps (+ (* 2 eps) (* a (+ (* 1/2 (pow eps 2)) (+ (* 2 (pow eps 2)) (* a (+ (* 1/6 (pow eps 3)) (* 4/3 (pow eps 3)))))))))))
(/ (+ 1 (* a (- (* 1/3 (/ (+ (* 3 (* eps (exp (* b eps)))) (* (+ eps (* 2 eps)) (- (exp (* b eps)) 1))) (- (exp (* b eps)) 1))) (* 3/2 eps)))) a)
(/ (+ 1 (* a (- (+ (* 1/3 (/ (+ (* 3 (* eps (exp (* b eps)))) (* (+ eps (* 2 eps)) (- (exp (* b eps)) 1))) (- (exp (* b eps)) 1))) (* a (- (* 1/3 (/ (+ (* 3/2 (* (pow eps 2) (exp (* b eps)))) (+ (* eps (* (exp (* b eps)) (+ eps (* 2 eps)))) (* (+ (* 1/2 (pow eps 2)) (* 2 (pow eps 2))) (- (exp (* b eps)) 1)))) (- (exp (* b eps)) 1))) (+ (* 3/2 (* eps (- (* 1/3 (/ (+ (* 3 (* eps (exp (* b eps)))) (* (+ eps (* 2 eps)) (- (exp (* b eps)) 1))) (- (exp (* b eps)) 1))) (* 3/2 eps)))) (* 3/2 (pow eps 2)))))) (* 3/2 eps)))) a)
(/ (+ 1 (* a (- (+ (* 1/3 (/ (+ (* 3 (* eps (exp (* b eps)))) (* (+ eps (* 2 eps)) (- (exp (* b eps)) 1))) (- (exp (* b eps)) 1))) (* a (- (+ (* 1/3 (/ (+ (* 3/2 (* (pow eps 2) (exp (* b eps)))) (+ (* eps (* (exp (* b eps)) (+ eps (* 2 eps)))) (* (+ (* 1/2 (pow eps 2)) (* 2 (pow eps 2))) (- (exp (* b eps)) 1)))) (- (exp (* b eps)) 1))) (* a (- (* 1/3 (/ (+ (* 1/2 (* (pow eps 2) (* (exp (* b eps)) (+ eps (* 2 eps))))) (+ (* 1/2 (* (pow eps 3) (exp (* b eps)))) (+ (* eps (* (exp (* b eps)) (+ (* 1/2 (pow eps 2)) (* 2 (pow eps 2))))) (* (+ (* 1/6 (pow eps 3)) (* 4/3 (pow eps 3))) (- (exp (* b eps)) 1))))) (- (exp (* b eps)) 1))) (+ (* 9/8 (pow eps 3)) (+ (* 3/2 (* eps (- (* 1/3 (/ (+ (* 3/2 (* (pow eps 2) (exp (* b eps)))) (+ (* eps (* (exp (* b eps)) (+ eps (* 2 eps)))) (* (+ (* 1/2 (pow eps 2)) (* 2 (pow eps 2))) (- (exp (* b eps)) 1)))) (- (exp (* b eps)) 1))) (+ (* 3/2 (* eps (- (* 1/3 (/ (+ (* 3 (* eps (exp (* b eps)))) (* (+ eps (* 2 eps)) (- (exp (* b eps)) 1))) (- (exp (* b eps)) 1))) (* 3/2 eps)))) (* 3/2 (pow eps 2)))))) (* 3/2 (* (pow eps 2) (- (* 1/3 (/ (+ (* 3 (* eps (exp (* b eps)))) (* (+ eps (* 2 eps)) (- (exp (* b eps)) 1))) (- (exp (* b eps)) 1))) (* 3/2 eps))))))))) (+ (* 3/2 (* eps (- (* 1/3 (/ (+ (* 3 (* eps (exp (* b eps)))) (* (+ eps (* 2 eps)) (- (exp (* b eps)) 1))) (- (exp (* b eps)) 1))) (* 3/2 eps)))) (* 3/2 (pow eps 2)))))) (* 3/2 eps)))) a)
(/ 1/3 a)
(/ (+ 1/3 (* -1/2 (* a eps))) a)
(/ (+ 1/3 (* a (- (* -1 (* a (+ (* -3/4 (pow eps 2)) (* 1/2 (pow eps 2))))) (* 1/2 eps)))) a)
(/ (+ 1/3 (* a (- (* a (- (* -1 (* a (+ (* -3/2 (* eps (+ (* -3/4 (pow eps 2)) (* 1/2 (pow eps 2))))) (+ (* -3/4 (pow eps 3)) (* 3/8 (pow eps 3)))))) (+ (* -3/4 (pow eps 2)) (* 1/2 (pow eps 2))))) (* 1/2 eps)))) a)
(* 3 (* a eps))
(* a (+ (* 3 eps) (* 9/2 (* a (pow eps 2)))))
(* a (+ (* 3 eps) (* a (+ (* 9/2 (* a (pow eps 3))) (* 9/2 (pow eps 2))))))
(* a (+ (* 3 eps) (* a (+ (* 9/2 (pow eps 2)) (* a (+ (* 27/8 (* a (pow eps 4))) (* 9/2 (pow eps 3))))))))
(/ (pow b 2) a)
(/ (+ (* 2 (* a b)) (pow b 2)) a)
(/ (+ (* a (+ a (* 2 b))) (pow b 2)) a)
(* 1/2 (/ b a))
(/ (+ a (* 1/2 b)) a)
(/ (+ (* 1/2 b) (* a (+ 1 (* 1/2 (/ a b))))) a)
(+ 1 (/ (* a (* eps (exp (* b eps)))) (- (exp (* b eps)) 1)))
(+ 1 (* a (+ (* 1/2 (/ (* a (* (pow eps 2) (exp (* b eps)))) (- (exp (* b eps)) 1))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)))))
(+ 1 (* a (+ (* a (+ (* 1/6 (/ (* a (* (pow eps 3) (exp (* b eps)))) (- (exp (* b eps)) 1))) (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)))))
(+ 3 (* a (+ eps (+ (* 2 eps) (* 3 (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)))))))
(+ 3 (* a (+ eps (+ (* 2 eps) (+ (* 3 (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* a (+ (* 1/2 (pow eps 2)) (+ (* 3/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 2 (pow eps 2)) (/ (* eps (* (exp (* b eps)) (+ eps (* 2 eps)))) (- (exp (* b eps)) 1)))))))))))
(+ 3 (* a (+ eps (+ (* 2 eps) (+ (* 3 (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* a (+ (* 1/2 (pow eps 2)) (+ (* 3/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 2 (pow eps 2)) (+ (* a (+ (* 1/6 (pow eps 3)) (+ (* 1/2 (/ (* (pow eps 2) (* (exp (* b eps)) (+ eps (* 2 eps)))) (- (exp (* b eps)) 1))) (+ (* 1/2 (/ (* (pow eps 3) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 4/3 (pow eps 3)) (/ (* eps (* (exp (* b eps)) (+ (* 1/2 (pow eps 2)) (* 2 (pow eps 2))))) (- (exp (* b eps)) 1))))))) (/ (* eps (* (exp (* b eps)) (+ eps (* 2 eps)))) (- (exp (* b eps)) 1))))))))))))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ 1 b)
(+ (/ 1 a) (/ 1 b))
(/ a b)
(* a (+ (/ 1 a) (/ 1 b)))
a
(* a (+ 1 (/ b a)))
(* -1/2 (/ (pow a 2) b))
(* -1 (* (pow a 2) (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))))
(* (pow a 2) b)
(* (pow a 2) (+ b (/ (pow b 2) a)))
(+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps))))
(/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))
(/ eps (- (exp (* 3 (* a eps))) 1))
(- (exp (* 3 (* a eps))) 1)
(* a (+ 1 (* 2 (/ b a))))
(* a (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(* 1/2 (/ a b))
(* a (+ (/ 1 a) (* 1/2 (/ 1 b))))
(* a (+ (* 1/2 (/ b (pow a 2))) (+ (/ 1 a) (* 1/2 (/ 1 b)))))
(/ (- (exp (* eps (+ a b))) 1) (- (exp (* b eps)) 1))
(/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (/ (+ (* -1/2 b) (* 1/2 b)) a))
(/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (- b (* -1 a)))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))
(* -1 (* a (- (* -2 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ (+ (* 2 b) (/ (pow b 2) a)) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ 1 (* 1/2 (/ b a))) a)) (* 1/2 (/ 1 b)))))
(/ (- (exp (* eps (- b (* -1 a)))) 1) (- (exp (* b eps)) 1))
(/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (- b (* -1 a)))) 1)) (- (exp (* b eps)) 1))
(/ (+ 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)
(/ (+ 1 (/ b a)) b)
(/ (+ a b) b)
(/ (+ (* -1/2 a) (* 1/2 a)) b)
(/ (+ (* -1/2 (* a b)) (* -1/2 (pow a 2))) b)
(* b (+ (* a b) (pow a 2)))
(/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1)) (* b (- (exp (* 3 (* a eps))) 1)))
(/ (+ (* b (- (/ (* eps (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))))) (- (exp (* 3 (* a eps))) 1)) (* 1/2 (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))) (- (exp (* 3 (* a eps))) 1))))) (/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1)) (- (exp (* 3 (* a eps))) 1))) b)
(/ (+ (* b (- (+ (* b (- (* 1/2 (/ (* (pow eps 2) (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))))) (- (exp (* 3 (* a eps))) 1))) (+ (* 1/6 (/ (* (pow eps 2) (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))) (- (exp (* 3 (* a eps))) 1))) (* 1/2 (* eps (- (/ (* eps (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))))) (- (exp (* 3 (* a eps))) 1)) (* 1/2 (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))) (- (exp (* 3 (* a eps))) 1))))))))) (/ (* eps (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))))) (- (exp (* 3 (* a eps))) 1))) (* 1/2 (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))) (- (exp (* 3 (* a eps))) 1))))) (/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1)) (- (exp (* 3 (* a eps))) 1))) b)
(/ (+ (* b (- (+ (* b (- (+ (* 1/2 (/ (* (pow eps 2) (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))))) (- (exp (* 3 (* a eps))) 1))) (* b (- (* 1/6 (/ (* (pow eps 3) (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))))) (- (exp (* 3 (* a eps))) 1))) (+ (* 1/24 (/ (* (pow eps 3) (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))) (- (exp (* 3 (* a eps))) 1))) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))))) (- (exp (* 3 (* a eps))) 1)) (* 1/2 (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))) (- (exp (* 3 (* a eps))) 1)))))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))))) (- (exp (* 3 (* a eps))) 1))) (+ (* 1/6 (/ (* (pow eps 2) (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))) (- (exp (* 3 (* a eps))) 1))) (* 1/2 (* eps (- (/ (* eps (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))))) (- (exp (* 3 (* a eps))) 1)) (* 1/2 (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))) (- (exp (* 3 (* a eps))) 1))))))))))))))) (+ (* 1/6 (/ (* (pow eps 2) (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))) (- (exp (* 3 (* a eps))) 1))) (* 1/2 (* eps (- (/ (* eps (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))))) (- (exp (* 3 (* a eps))) 1)) (* 1/2 (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))) (- (exp (* 3 (* a eps))) 1))))))))) (/ (* eps (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))))) (- (exp (* 3 (* a eps))) 1))) (* 1/2 (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))) (- (exp (* 3 (* a eps))) 1))))) (/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1)) (- (exp (* 3 (* a eps))) 1))) b)
(+ a (* 2 b))
(+ a (* b (+ 2 (/ b a))))
(/ (+ b (* 1/2 a)) b)
(/ (+ (* 1/2 a) (* b (+ 1 (* 1/2 (/ b a))))) b)
(/ (- (exp (* a eps)) 1) (* b eps))
(/ (- (+ (* b (- (exp (* a eps)) (* 1/2 (- (exp (* a eps)) 1)))) (/ (exp (* a eps)) eps)) (/ 1 eps)) b)
(/ (- (+ (* b (- (+ (exp (* a eps)) (* b (- (* 1/2 (* eps (exp (* a eps)))) (+ (* 1/6 (* eps (- (exp (* a eps)) 1))) (* 1/2 (* eps (- (exp (* a eps)) (* 1/2 (- (exp (* a eps)) 1))))))))) (* 1/2 (- (exp (* a eps)) 1)))) (/ (exp (* a eps)) eps)) (/ 1 eps)) b)
(/ (- (+ (* b (- (+ (exp (* a eps)) (* b (- (+ (* 1/2 (* eps (exp (* a eps)))) (* b (- (* 1/6 (* (pow eps 2) (exp (* a eps)))) (+ (* 1/24 (* (pow eps 2) (- (exp (* a eps)) 1))) (+ (* 1/6 (* (pow eps 2) (- (exp (* a eps)) (* 1/2 (- (exp (* a eps)) 1))))) (* 1/2 (* eps (- (* 1/2 (* eps (exp (* a eps)))) (+ (* 1/6 (* eps (- (exp (* a eps)) 1))) (* 1/2 (* eps (- (exp (* a eps)) (* 1/2 (- (exp (* a eps)) 1)))))))))))))) (+ (* 1/6 (* eps (- (exp (* a eps)) 1))) (* 1/2 (* eps (- (exp (* a eps)) (* 1/2 (- (exp (* a eps)) 1))))))))) (* 1/2 (- (exp (* a eps)) 1)))) (/ (exp (* a eps)) eps)) (/ 1 eps)) b)
(/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1)) (* b eps))
(/ (+ (* b (- (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps))))) (* 1/2 (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))))) (/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1)) eps)) b)
(/ (+ (* b (- (+ (* b (- (* 1/2 (* eps (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps))))))) (+ (* 1/6 (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1)))) (* 1/2 (* eps (- (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps))))) (* 1/2 (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))))))))) (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))))) (* 1/2 (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))))) (/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1)) eps)) b)
(/ (+ (* b (- (+ (* b (- (+ (* 1/2 (* eps (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps))))))) (* b (- (* 1/6 (* (pow eps 2) (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps))))))) (+ (* 1/24 (* (pow eps 2) (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1)))) (+ (* 1/6 (* (pow eps 2) (- (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps))))) (* 1/2 (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1)))))) (* 1/2 (* eps (- (* 1/2 (* eps (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps))))))) (+ (* 1/6 (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1)))) (* 1/2 (* eps (- (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps))))) (* 1/2 (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))))))))))))))) (+ (* 1/6 (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1)))) (* 1/2 (* eps (- (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps))))) (* 1/2 (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))))))))) (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))))) (* 1/2 (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))))) (/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1)) eps)) b)
(* b (+ 1 (/ a b)))
(+ (* -1/2 a) (* -1/2 (/ (pow a 2) b)))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(* (pow b 2) (+ (/ 1 a) (* 2 (/ 1 b))))
(* (pow b 2) (+ (/ 1 a) (+ (* 2 (/ 1 b)) (/ a (pow b 2)))))
(* b (+ (* 1/2 (/ 1 a)) (/ 1 b)))
(* b (+ (* 1/2 (/ a (pow b 2))) (+ (* 1/2 (/ 1 a)) (/ 1 b))))
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (/ (+ (* -1/2 a) (* 1/2 a)) b))
(/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (- a (* -1 b)))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))
(* (pow b 2) (+ (* -1 (/ (- (* -1 (/ a b)) 2) b)) (/ 1 a)))
(* -1 (* b (- (* -1 (/ (+ 1 (* 1/2 (/ a b))) b)) (* 1/2 (/ 1 a)))))
(/ (- (exp (* eps (- a (* -1 b)))) 1) (- (exp (* b eps)) 1))
(/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (- a (* -1 b)))) 1)) (- (exp (* b eps)) 1))
(/ (+ a b) (* a b))
(+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (+ (* 1/6 (/ (pow (+ a b) 3) (* a b))) (* eps (- (* 1/24 (/ (pow (+ a b) 4) (* a b))) (+ (/ (* (+ a b) (+ (* 1/24 (* a (pow b 4))) (+ (* 1/24 (* (pow a 4) b)) (+ (* 1/12 (* (pow a 2) (pow b 3))) (* 1/12 (* (pow a 3) (pow b 2))))))) (* (pow a 2) (pow b 2))) (+ (/ (* (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2))))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b))))) (* a b))))))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(+ 3 (* eps (+ a (* 2 a))))
(+ 3 (* eps (+ a (+ (* 2 a) (* eps (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))))))
(+ 3 (* eps (+ a (+ (* 2 a) (* eps (+ (* 1/2 (pow a 2)) (+ (* 2 (pow a 2)) (* eps (+ (* 1/6 (pow a 3)) (* 4/3 (pow a 3)))))))))))
(+ (* eps (- (* 1/3 (/ (+ (* 3/2 (pow (+ a b) 2)) (* (+ a b) (+ a (* 2 a)))) (* a b))) (* 1/3 (/ (* (+ a b) (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))))) (+ (/ 1 a) (/ 1 b)))
(+ (* eps (- (+ (* 1/3 (/ (+ (* 3/2 (pow (+ a b) 2)) (* (+ a b) (+ a (* 2 a)))) (* a b))) (* eps (- (* 1/3 (/ (+ (* 1/2 (* (pow (+ a b) 2) (+ a (* 2 a)))) (+ (* 1/2 (pow (+ a b) 3)) (* (+ a b) (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))))) (* a b))) (+ (* 1/3 (/ (* (+ a b) (+ (* 1/2 (* a (pow b 3))) (+ (* 9/4 (* (pow a 2) (pow b 2))) (* 9/2 (* (pow a 3) b))))) (* (pow a 2) (pow b 2)))) (* 1/3 (/ (* (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b))) (- (* 1/3 (/ (+ (* 3/2 (pow (+ a b) 2)) (* (+ a b) (+ a (* 2 a)))) (* a b))) (* 1/3 (/ (* (+ a b) (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))))) (* a b))))))) (* 1/3 (/ (* (+ a b) (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))))) (+ (/ 1 a) (/ 1 b)))
(+ (* eps (- (+ (* 1/3 (/ (+ (* 3/2 (pow (+ a b) 2)) (* (+ a b) (+ a (* 2 a)))) (* a b))) (* eps (- (+ (* 1/3 (/ (+ (* 1/2 (* (pow (+ a b) 2) (+ a (* 2 a)))) (+ (* 1/2 (pow (+ a b) 3)) (* (+ a b) (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))))) (* a b))) (* eps (- (* 1/3 (/ (+ (* 1/8 (pow (+ a b) 4)) (+ (* 1/6 (* (pow (+ a b) 3) (+ a (* 2 a)))) (+ (* 1/2 (* (pow (+ a b) 2) (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (* (+ a b) (+ (* 1/6 (pow a 3)) (* 4/3 (pow a 3))))))) (* a b))) (+ (* 1/3 (/ (* (+ a b) (+ (* 1/8 (* a (pow b 4))) (+ (* 3/4 (* (pow a 2) (pow b 3))) (+ (* 9/4 (* (pow a 3) (pow b 2))) (* 27/8 (* (pow a 4) b)))))) (* (pow a 2) (pow b 2)))) (+ (* 1/3 (/ (* (+ (* 1/2 (* a (pow b 3))) (+ (* 9/4 (* (pow a 2) (pow b 2))) (* 9/2 (* (pow a 3) b)))) (- (* 1/3 (/ (+ (* 3/2 (pow (+ a b) 2)) (* (+ a b) (+ a (* 2 a)))) (* a b))) (* 1/3 (/ (* (+ a b) (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))))) (* a b))) (* 1/3 (/ (* (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b))) (- (* 1/3 (/ (+ (* 1/2 (* (pow (+ a b) 2) (+ a (* 2 a)))) (+ (* 1/2 (pow (+ a b) 3)) (* (+ a b) (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))))) (* a b))) (+ (* 1/3 (/ (* (+ a b) (+ (* 1/2 (* a (pow b 3))) (+ (* 9/4 (* (pow a 2) (pow b 2))) (* 9/2 (* (pow a 3) b))))) (* (pow a 2) (pow b 2)))) (* 1/3 (/ (* (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b))) (- (* 1/3 (/ (+ (* 3/2 (pow (+ a b) 2)) (* (+ a b) (+ a (* 2 a)))) (* a b))) (* 1/3 (/ (* (+ a b) (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))))) (* a b)))))) (* a b)))))))) (+ (* 1/3 (/ (* (+ a b) (+ (* 1/2 (* a (pow b 3))) (+ (* 9/4 (* (pow a 2) (pow b 2))) (* 9/2 (* (pow a 3) b))))) (* (pow a 2) (pow b 2)))) (* 1/3 (/ (* (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b))) (- (* 1/3 (/ (+ (* 3/2 (pow (+ a b) 2)) (* (+ a b) (+ a (* 2 a)))) (* a b))) (* 1/3 (/ (* (+ a b) (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))))) (* a b))))))) (* 1/3 (/ (* (+ a b) (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))))) (+ (/ 1 a) (/ 1 b)))
(+ (* -1/2 eps) (* 1/3 (/ 1 a)))
(+ (* eps (- (* -1 (* eps (+ (* -3/4 a) (* 1/2 a)))) 1/2)) (* 1/3 (/ 1 a)))
(+ (* eps (- (* eps (- (* -1 (* eps (+ (* -3/2 (* a (+ (* -3/4 a) (* 1/2 a)))) (+ (* -3/4 (pow a 2)) (* 3/8 (pow a 2)))))) (+ (* -3/4 a) (* 1/2 a)))) 1/2)) (* 1/3 (/ 1 a)))
(* eps (+ (* 3 a) (* 9/2 (* (pow a 2) eps))))
(* eps (+ (* 3 a) (* eps (+ (* 9/2 (* (pow a 3) eps)) (* 9/2 (pow a 2))))))
(* eps (+ (* 3 a) (* eps (+ (* 9/2 (pow a 2)) (* eps (+ (* 27/8 (* (pow a 4) eps)) (* 9/2 (pow a 3))))))))
(+ 1 (+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) b)) (* 1/2 (+ a b)))) (/ a b)))
(+ 1 (+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) b)) (* eps (- (* 1/6 (/ (pow (+ a b) 3) b)) (+ (* 1/6 (* b (+ a b))) (* 1/2 (* b (- (* 1/2 (/ (pow (+ a b) 2) b)) (* 1/2 (+ a b))))))))) (* 1/2 (+ a b)))) (/ a b)))
(+ 1 (+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) b)) (* eps (- (+ (* 1/6 (/ (pow (+ a b) 3) b)) (* eps (- (* 1/24 (/ (pow (+ a b) 4) b)) (+ (* 1/24 (* (pow b 2) (+ a b))) (+ (* 1/6 (* (pow b 2) (- (* 1/2 (/ (pow (+ a b) 2) b)) (* 1/2 (+ a b))))) (* 1/2 (* b (- (* 1/6 (/ (pow (+ a b) 3) b)) (+ (* 1/6 (* b (+ a b))) (* 1/2 (* b (- (* 1/2 (/ (pow (+ a b) 2) b)) (* 1/2 (+ a b)))))))))))))) (+ (* 1/6 (* b (+ a b))) (* 1/2 (* b (- (* 1/2 (/ (pow (+ a b) 2) b)) (* 1/2 (+ a b))))))))) (* 1/2 (+ a b)))) (/ a b)))
(* 3 (/ (+ a b) b))
(+ (* 3 (/ (+ a b) b)) (* eps (- (+ (* 3/2 (/ (pow (+ a b) 2) b)) (/ (* (+ a b) (+ a (* 2 a))) b)) (* 3/2 (+ a b)))))
(+ (* 3 (/ (+ a b) b)) (* eps (- (+ (* 3/2 (/ (pow (+ a b) 2) b)) (+ (* eps (- (+ (* 1/2 (/ (* (pow (+ a b) 2) (+ a (* 2 a))) b)) (+ (* 1/2 (/ (pow (+ a b) 3) b)) (/ (* (+ a b) (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))) b))) (+ (* 1/2 (* b (+ a b))) (* 1/2 (* b (- (+ (* 3/2 (/ (pow (+ a b) 2) b)) (/ (* (+ a b) (+ a (* 2 a))) b)) (* 3/2 (+ a b)))))))) (/ (* (+ a b) (+ a (* 2 a))) b))) (* 3/2 (+ a b)))))
(+ (* 3 (/ (+ a b) b)) (* eps (- (+ (* 3/2 (/ (pow (+ a b) 2) b)) (+ (* eps (- (+ (* 1/2 (/ (* (pow (+ a b) 2) (+ a (* 2 a))) b)) (+ (* 1/2 (/ (pow (+ a b) 3) b)) (+ (* eps (- (+ (* 1/8 (/ (pow (+ a b) 4) b)) (+ (* 1/6 (/ (* (pow (+ a b) 3) (+ a (* 2 a))) b)) (+ (* 1/2 (/ (* (pow (+ a b) 2) (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))) b)) (/ (* (+ a b) (+ (* 1/6 (pow a 3)) (* 4/3 (pow a 3)))) b)))) (+ (* 1/8 (* (pow b 2) (+ a b))) (+ (* 1/6 (* (pow b 2) (- (+ (* 3/2 (/ (pow (+ a b) 2) b)) (/ (* (+ a b) (+ a (* 2 a))) b)) (* 3/2 (+ a b))))) (* 1/2 (* b (- (+ (* 1/2 (/ (* (pow (+ a b) 2) (+ a (* 2 a))) b)) (+ (* 1/2 (/ (pow (+ a b) 3) b)) (/ (* (+ a b) (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))) b))) (+ (* 1/2 (* b (+ a b))) (* 1/2 (* b (- (+ (* 3/2 (/ (pow (+ a b) 2) b)) (/ (* (+ a b) (+ a (* 2 a))) b)) (* 3/2 (+ a b))))))))))))) (/ (* (+ a b) (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))) b)))) (+ (* 1/2 (* b (+ a b))) (* 1/2 (* b (- (+ (* 3/2 (/ (pow (+ a b) 2) b)) (/ (* (+ a b) (+ a (* 2 a))) b)) (* 3/2 (+ a b)))))))) (/ (* (+ a b) (+ a (* 2 a))) b))) (* 3/2 (+ a b)))))

Calls

9 calls:

Time	Variable		Point	Expression
48.0ms	eps	@	inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (+ b a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 b) (+ (* (/ (* (+ (* (* b a) b) (* (* b a) a)) -1/2) (* b b)) (/ (/ (+ b a) a) a)) (* (/ 1/2 b) (/ (pow (+ b a) 2) a))) (/ (* (+ (* (* b a) b) (* (* b a) a)) -1/2) (* b b)) (+ (* (* b a) b) (* (* b a) a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ (+ (pow (exp eps) (* 2 a)) (pow (exp eps) a)) 1) (* (/ eps (- (exp (* (* eps a) 3)) 1)) (* (+ (+ (pow (exp eps) (* 2 a)) (pow (exp eps) a)) 1) (/ (- (exp (* eps (+ b a))) 1) (- (exp (* eps b)) 1)))) (/ eps (- (exp (* (* eps a) 3)) 1)) (- (exp (* (* eps a) 3)) 1) (/ (pow (+ b a) 2) a) (* (/ 1/2 b) (/ (pow (+ b a) 2) a)) (/ (- (exp (* eps (+ b a))) 1) (- (exp (* eps b)) 1)) (* (+ (+ (pow (exp eps) (* 2 a)) (pow (exp eps) a)) 1) (/ (- (exp (* eps (+ b a))) 1) (- (exp (* eps b)) 1))))
45.0ms	b	@	inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (+ b a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 b) (+ (* (/ (* (+ (* (* b a) b) (* (* b a) a)) -1/2) (* b b)) (/ (/ (+ b a) a) a)) (* (/ 1/2 b) (/ (pow (+ b a) 2) a))) (/ (* (+ (* (* b a) b) (* (* b a) a)) -1/2) (* b b)) (+ (* (* b a) b) (* (* b a) a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ (+ (pow (exp eps) (* 2 a)) (pow (exp eps) a)) 1) (* (/ eps (- (exp (* (* eps a) 3)) 1)) (* (+ (+ (pow (exp eps) (* 2 a)) (pow (exp eps) a)) 1) (/ (- (exp (* eps (+ b a))) 1) (- (exp (* eps b)) 1)))) (/ eps (- (exp (* (* eps a) 3)) 1)) (- (exp (* (* eps a) 3)) 1) (/ (pow (+ b a) 2) a) (* (/ 1/2 b) (/ (pow (+ b a) 2) a)) (/ (- (exp (* eps (+ b a))) 1) (- (exp (* eps b)) 1)) (* (+ (+ (pow (exp eps) (* 2 a)) (pow (exp eps) a)) 1) (/ (- (exp (* eps (+ b a))) 1) (- (exp (* eps b)) 1))))
19.0ms	b	@	-inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (+ b a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 b) (+ (* (/ (* (+ (* (* b a) b) (* (* b a) a)) -1/2) (* b b)) (/ (/ (+ b a) a) a)) (* (/ 1/2 b) (/ (pow (+ b a) 2) a))) (/ (* (+ (* (* b a) b) (* (* b a) a)) -1/2) (* b b)) (+ (* (* b a) b) (* (* b a) a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ (+ (pow (exp eps) (* 2 a)) (pow (exp eps) a)) 1) (* (/ eps (- (exp (* (* eps a) 3)) 1)) (* (+ (+ (pow (exp eps) (* 2 a)) (pow (exp eps) a)) 1) (/ (- (exp (* eps (+ b a))) 1) (- (exp (* eps b)) 1)))) (/ eps (- (exp (* (* eps a) 3)) 1)) (- (exp (* (* eps a) 3)) 1) (/ (pow (+ b a) 2) a) (* (/ 1/2 b) (/ (pow (+ b a) 2) a)) (/ (- (exp (* eps (+ b a))) 1) (- (exp (* eps b)) 1)) (* (+ (+ (pow (exp eps) (* 2 a)) (pow (exp eps) a)) 1) (/ (- (exp (* eps (+ b a))) 1) (- (exp (* eps b)) 1))))
18.0ms	eps	@	-inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (+ b a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 b) (+ (* (/ (* (+ (* (* b a) b) (* (* b a) a)) -1/2) (* b b)) (/ (/ (+ b a) a) a)) (* (/ 1/2 b) (/ (pow (+ b a) 2) a))) (/ (* (+ (* (* b a) b) (* (* b a) a)) -1/2) (* b b)) (+ (* (* b a) b) (* (* b a) a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ (+ (pow (exp eps) (* 2 a)) (pow (exp eps) a)) 1) (* (/ eps (- (exp (* (* eps a) 3)) 1)) (* (+ (+ (pow (exp eps) (* 2 a)) (pow (exp eps) a)) 1) (/ (- (exp (* eps (+ b a))) 1) (- (exp (* eps b)) 1)))) (/ eps (- (exp (* (* eps a) 3)) 1)) (- (exp (* (* eps a) 3)) 1) (/ (pow (+ b a) 2) a) (* (/ 1/2 b) (/ (pow (+ b a) 2) a)) (/ (- (exp (* eps (+ b a))) 1) (- (exp (* eps b)) 1)) (* (+ (+ (pow (exp eps) (* 2 a)) (pow (exp eps) a)) 1) (/ (- (exp (* eps (+ b a))) 1) (- (exp (* eps b)) 1))))
18.0ms	a	@	inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (+ b a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 b) (+ (* (/ (* (+ (* (* b a) b) (* (* b a) a)) -1/2) (* b b)) (/ (/ (+ b a) a) a)) (* (/ 1/2 b) (/ (pow (+ b a) 2) a))) (/ (* (+ (* (* b a) b) (* (* b a) a)) -1/2) (* b b)) (+ (* (* b a) b) (* (* b a) a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ (+ (pow (exp eps) (* 2 a)) (pow (exp eps) a)) 1) (* (/ eps (- (exp (* (* eps a) 3)) 1)) (* (+ (+ (pow (exp eps) (* 2 a)) (pow (exp eps) a)) 1) (/ (- (exp (* eps (+ b a))) 1) (- (exp (* eps b)) 1)))) (/ eps (- (exp (* (* eps a) 3)) 1)) (- (exp (* (* eps a) 3)) 1) (/ (pow (+ b a) 2) a) (* (/ 1/2 b) (/ (pow (+ b a) 2) a)) (/ (- (exp (* eps (+ b a))) 1) (- (exp (* eps b)) 1)) (* (+ (+ (pow (exp eps) (* 2 a)) (pow (exp eps) a)) 1) (/ (- (exp (* eps (+ b a))) 1) (- (exp (* eps b)) 1))))

simplify198.0ms (0.8%)

Memory

29.1MiB live, 177.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	914	6410
1	2923	6175
0	8738	5556

Stop Event

1×	iter limit
1×	node limit

Counts

134 → 132

Calls

Call 1

Inputs
(/ 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)
(/ (+ 1 (/ a b)) a)
1
(+ 1 (/ a b))
b
(+ a b)
(/ (+ (* -1/2 b) (* 1/2 b)) a)
(* -1/2 a)
(* a (- (* -1/2 (/ a b)) 1/2))
(* a (pow b 2))
(* a (+ (* a b) (pow b 2)))
3
(+ 3 (* a (+ eps (* 2 eps))))
(+ 3 (* a (+ eps (+ (* 2 eps) (* a (+ (* 1/2 (pow eps 2)) (* 2 (pow eps 2))))))))
(+ 3 (* a (+ eps (+ (* 2 eps) (* a (+ (* 1/2 (pow eps 2)) (+ (* 2 (pow eps 2)) (* a (+ (* 1/6 (pow eps 3)) (* 4/3 (pow eps 3)))))))))))
(/ (+ 1 (* a (- (* 1/3 (/ (+ (* 3 (* eps (exp (* b eps)))) (* (+ eps (* 2 eps)) (- (exp (* b eps)) 1))) (- (exp (* b eps)) 1))) (* 3/2 eps)))) a)
(/ (+ 1 (* a (- (+ (* 1/3 (/ (+ (* 3 (* eps (exp (* b eps)))) (* (+ eps (* 2 eps)) (- (exp (* b eps)) 1))) (- (exp (* b eps)) 1))) (* a (- (* 1/3 (/ (+ (* 3/2 (* (pow eps 2) (exp (* b eps)))) (+ (* eps (* (exp (* b eps)) (+ eps (* 2 eps)))) (* (+ (* 1/2 (pow eps 2)) (* 2 (pow eps 2))) (- (exp (* b eps)) 1)))) (- (exp (* b eps)) 1))) (+ (* 3/2 (* eps (- (* 1/3 (/ (+ (* 3 (* eps (exp (* b eps)))) (* (+ eps (* 2 eps)) (- (exp (* b eps)) 1))) (- (exp (* b eps)) 1))) (* 3/2 eps)))) (* 3/2 (pow eps 2)))))) (* 3/2 eps)))) a)
(/ (+ 1 (* a (- (+ (* 1/3 (/ (+ (* 3 (* eps (exp (* b eps)))) (* (+ eps (* 2 eps)) (- (exp (* b eps)) 1))) (- (exp (* b eps)) 1))) (* a (- (+ (* 1/3 (/ (+ (* 3/2 (* (pow eps 2) (exp (* b eps)))) (+ (* eps (* (exp (* b eps)) (+ eps (* 2 eps)))) (* (+ (* 1/2 (pow eps 2)) (* 2 (pow eps 2))) (- (exp (* b eps)) 1)))) (- (exp (* b eps)) 1))) (* a (- (* 1/3 (/ (+ (* 1/2 (* (pow eps 2) (* (exp (* b eps)) (+ eps (* 2 eps))))) (+ (* 1/2 (* (pow eps 3) (exp (* b eps)))) (+ (* eps (* (exp (* b eps)) (+ (* 1/2 (pow eps 2)) (* 2 (pow eps 2))))) (* (+ (* 1/6 (pow eps 3)) (* 4/3 (pow eps 3))) (- (exp (* b eps)) 1))))) (- (exp (* b eps)) 1))) (+ (* 9/8 (pow eps 3)) (+ (* 3/2 (* eps (- (* 1/3 (/ (+ (* 3/2 (* (pow eps 2) (exp (* b eps)))) (+ (* eps (* (exp (* b eps)) (+ eps (* 2 eps)))) (* (+ (* 1/2 (pow eps 2)) (* 2 (pow eps 2))) (- (exp (* b eps)) 1)))) (- (exp (* b eps)) 1))) (+ (* 3/2 (* eps (- (* 1/3 (/ (+ (* 3 (* eps (exp (* b eps)))) (* (+ eps (* 2 eps)) (- (exp (* b eps)) 1))) (- (exp (* b eps)) 1))) (* 3/2 eps)))) (* 3/2 (pow eps 2)))))) (* 3/2 (* (pow eps 2) (- (* 1/3 (/ (+ (* 3 (* eps (exp (* b eps)))) (* (+ eps (* 2 eps)) (- (exp (* b eps)) 1))) (- (exp (* b eps)) 1))) (* 3/2 eps))))))))) (+ (* 3/2 (* eps (- (* 1/3 (/ (+ (* 3 (* eps (exp (* b eps)))) (* (+ eps (* 2 eps)) (- (exp (* b eps)) 1))) (- (exp (* b eps)) 1))) (* 3/2 eps)))) (* 3/2 (pow eps 2)))))) (* 3/2 eps)))) a)
(/ 1/3 a)
(/ (+ 1/3 (* -1/2 (* a eps))) a)
(/ (+ 1/3 (* a (- (* -1 (* a (+ (* -3/4 (pow eps 2)) (* 1/2 (pow eps 2))))) (* 1/2 eps)))) a)
(/ (+ 1/3 (* a (- (* a (- (* -1 (* a (+ (* -3/2 (* eps (+ (* -3/4 (pow eps 2)) (* 1/2 (pow eps 2))))) (+ (* -3/4 (pow eps 3)) (* 3/8 (pow eps 3)))))) (+ (* -3/4 (pow eps 2)) (* 1/2 (pow eps 2))))) (* 1/2 eps)))) a)
(* 3 (* a eps))
(* a (+ (* 3 eps) (* 9/2 (* a (pow eps 2)))))
(* a (+ (* 3 eps) (* a (+ (* 9/2 (* a (pow eps 3))) (* 9/2 (pow eps 2))))))
(* a (+ (* 3 eps) (* a (+ (* 9/2 (pow eps 2)) (* a (+ (* 27/8 (* a (pow eps 4))) (* 9/2 (pow eps 3))))))))
(/ (pow b 2) a)
(/ (+ (* 2 (* a b)) (pow b 2)) a)
(/ (+ (* a (+ a (* 2 b))) (pow b 2)) a)
(* 1/2 (/ b a))
(/ (+ a (* 1/2 b)) a)
(/ (+ (* 1/2 b) (* a (+ 1 (* 1/2 (/ a b))))) a)
(+ 1 (/ (* a (* eps (exp (* b eps)))) (- (exp (* b eps)) 1)))
(+ 1 (* a (+ (* 1/2 (/ (* a (* (pow eps 2) (exp (* b eps)))) (- (exp (* b eps)) 1))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)))))
(+ 1 (* a (+ (* a (+ (* 1/6 (/ (* a (* (pow eps 3) (exp (* b eps)))) (- (exp (* b eps)) 1))) (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)))))
(+ 3 (* a (+ eps (+ (* 2 eps) (* 3 (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)))))))
(+ 3 (* a (+ eps (+ (* 2 eps) (+ (* 3 (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* a (+ (* 1/2 (pow eps 2)) (+ (* 3/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 2 (pow eps 2)) (/ (* eps (* (exp (* b eps)) (+ eps (* 2 eps)))) (- (exp (* b eps)) 1)))))))))))
(+ 3 (* a (+ eps (+ (* 2 eps) (+ (* 3 (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* a (+ (* 1/2 (pow eps 2)) (+ (* 3/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 2 (pow eps 2)) (+ (* a (+ (* 1/6 (pow eps 3)) (+ (* 1/2 (/ (* (pow eps 2) (* (exp (* b eps)) (+ eps (* 2 eps)))) (- (exp (* b eps)) 1))) (+ (* 1/2 (/ (* (pow eps 3) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 4/3 (pow eps 3)) (/ (* eps (* (exp (* b eps)) (+ (* 1/2 (pow eps 2)) (* 2 (pow eps 2))))) (- (exp (* b eps)) 1))))))) (/ (* eps (* (exp (* b eps)) (+ eps (* 2 eps)))) (- (exp (* b eps)) 1))))))))))))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ 1 b)
(+ (/ 1 a) (/ 1 b))
(/ a b)
(* a (+ (/ 1 a) (/ 1 b)))
a
(* a (+ 1 (/ b a)))
(* -1/2 (/ (pow a 2) b))
(* -1 (* (pow a 2) (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))))
(* (pow a 2) b)
(* (pow a 2) (+ b (/ (pow b 2) a)))
(+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps))))
(/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))
(/ eps (- (exp (* 3 (* a eps))) 1))
(- (exp (* 3 (* a eps))) 1)
(* a (+ 1 (* 2 (/ b a))))
(* a (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(* 1/2 (/ a b))
(* a (+ (/ 1 a) (* 1/2 (/ 1 b))))
(* a (+ (* 1/2 (/ b (pow a 2))) (+ (/ 1 a) (* 1/2 (/ 1 b)))))
(/ (- (exp (* eps (+ a b))) 1) (- (exp (* b eps)) 1))
(/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (/ (+ (* -1/2 b) (* 1/2 b)) a))
(/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (- b (* -1 a)))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))
(* -1 (* a (- (* -2 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ (+ (* 2 b) (/ (pow b 2) a)) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ 1 (* 1/2 (/ b a))) a)) (* 1/2 (/ 1 b)))))
(/ (- (exp (* eps (- b (* -1 a)))) 1) (- (exp (* b eps)) 1))
(/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (- b (* -1 a)))) 1)) (- (exp (* b eps)) 1))
(/ (+ 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)
(/ (+ 1 (/ b a)) b)
(/ (+ a b) b)
(/ (+ (* -1/2 a) (* 1/2 a)) b)
(/ (+ (* -1/2 (* a b)) (* -1/2 (pow a 2))) b)
(* b (+ (* a b) (pow a 2)))
(/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1)) (* b (- (exp (* 3 (* a eps))) 1)))
(/ (+ (* b (- (/ (* eps (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))))) (- (exp (* 3 (* a eps))) 1)) (* 1/2 (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))) (- (exp (* 3 (* a eps))) 1))))) (/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1)) (- (exp (* 3 (* a eps))) 1))) b)
(/ (+ (* b (- (+ (* b (- (* 1/2 (/ (* (pow eps 2) (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))))) (- (exp (* 3 (* a eps))) 1))) (+ (* 1/6 (/ (* (pow eps 2) (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))) (- (exp (* 3 (* a eps))) 1))) (* 1/2 (* eps (- (/ (* eps (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))))) (- (exp (* 3 (* a eps))) 1)) (* 1/2 (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))) (- (exp (* 3 (* a eps))) 1))))))))) (/ (* eps (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))))) (- (exp (* 3 (* a eps))) 1))) (* 1/2 (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))) (- (exp (* 3 (* a eps))) 1))))) (/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1)) (- (exp (* 3 (* a eps))) 1))) b)
(/ (+ (* b (- (+ (* b (- (+ (* 1/2 (/ (* (pow eps 2) (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))))) (- (exp (* 3 (* a eps))) 1))) (* b (- (* 1/6 (/ (* (pow eps 3) (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))))) (- (exp (* 3 (* a eps))) 1))) (+ (* 1/24 (/ (* (pow eps 3) (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))) (- (exp (* 3 (* a eps))) 1))) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))))) (- (exp (* 3 (* a eps))) 1)) (* 1/2 (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))) (- (exp (* 3 (* a eps))) 1)))))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))))) (- (exp (* 3 (* a eps))) 1))) (+ (* 1/6 (/ (* (pow eps 2) (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))) (- (exp (* 3 (* a eps))) 1))) (* 1/2 (* eps (- (/ (* eps (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))))) (- (exp (* 3 (* a eps))) 1)) (* 1/2 (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))) (- (exp (* 3 (* a eps))) 1))))))))))))))) (+ (* 1/6 (/ (* (pow eps 2) (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))) (- (exp (* 3 (* a eps))) 1))) (* 1/2 (* eps (- (/ (* eps (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))))) (- (exp (* 3 (* a eps))) 1)) (* 1/2 (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))) (- (exp (* 3 (* a eps))) 1))))))))) (/ (* eps (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))))) (- (exp (* 3 (* a eps))) 1))) (* 1/2 (/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))) (- (exp (* 3 (* a eps))) 1))))) (/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1)) (- (exp (* 3 (* a eps))) 1))) b)
(+ a (* 2 b))
(+ a (* b (+ 2 (/ b a))))
(/ (+ b (* 1/2 a)) b)
(/ (+ (* 1/2 a) (* b (+ 1 (* 1/2 (/ b a))))) b)
(/ (- (exp (* a eps)) 1) (* b eps))
(/ (- (+ (* b (- (exp (* a eps)) (* 1/2 (- (exp (* a eps)) 1)))) (/ (exp (* a eps)) eps)) (/ 1 eps)) b)
(/ (- (+ (* b (- (+ (exp (* a eps)) (* b (- (* 1/2 (* eps (exp (* a eps)))) (+ (* 1/6 (* eps (- (exp (* a eps)) 1))) (* 1/2 (* eps (- (exp (* a eps)) (* 1/2 (- (exp (* a eps)) 1))))))))) (* 1/2 (- (exp (* a eps)) 1)))) (/ (exp (* a eps)) eps)) (/ 1 eps)) b)
(/ (- (+ (* b (- (+ (exp (* a eps)) (* b (- (+ (* 1/2 (* eps (exp (* a eps)))) (* b (- (* 1/6 (* (pow eps 2) (exp (* a eps)))) (+ (* 1/24 (* (pow eps 2) (- (exp (* a eps)) 1))) (+ (* 1/6 (* (pow eps 2) (- (exp (* a eps)) (* 1/2 (- (exp (* a eps)) 1))))) (* 1/2 (* eps (- (* 1/2 (* eps (exp (* a eps)))) (+ (* 1/6 (* eps (- (exp (* a eps)) 1))) (* 1/2 (* eps (- (exp (* a eps)) (* 1/2 (- (exp (* a eps)) 1)))))))))))))) (+ (* 1/6 (* eps (- (exp (* a eps)) 1))) (* 1/2 (* eps (- (exp (* a eps)) (* 1/2 (- (exp (* a eps)) 1))))))))) (* 1/2 (- (exp (* a eps)) 1)))) (/ (exp (* a eps)) eps)) (/ 1 eps)) b)
(/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1)) (* b eps))
(/ (+ (* b (- (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps))))) (* 1/2 (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))))) (/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1)) eps)) b)
(/ (+ (* b (- (+ (* b (- (* 1/2 (* eps (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps))))))) (+ (* 1/6 (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1)))) (* 1/2 (* eps (- (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps))))) (* 1/2 (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))))))))) (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))))) (* 1/2 (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))))) (/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1)) eps)) b)
(/ (+ (* b (- (+ (* b (- (+ (* 1/2 (* eps (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps))))))) (* b (- (* 1/6 (* (pow eps 2) (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps))))))) (+ (* 1/24 (* (pow eps 2) (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1)))) (+ (* 1/6 (* (pow eps 2) (- (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps))))) (* 1/2 (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1)))))) (* 1/2 (* eps (- (* 1/2 (* eps (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps))))))) (+ (* 1/6 (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1)))) (* 1/2 (* eps (- (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps))))) (* 1/2 (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))))))))))))))) (+ (* 1/6 (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1)))) (* 1/2 (* eps (- (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps))))) (* 1/2 (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))))))))) (* (exp (* a eps)) (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))))) (* 1/2 (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1))))) (/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* a eps)) 1)) eps)) b)
(* b (+ 1 (/ a b)))
(+ (* -1/2 a) (* -1/2 (/ (pow a 2) b)))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(* (pow b 2) (+ (/ 1 a) (* 2 (/ 1 b))))
(* (pow b 2) (+ (/ 1 a) (+ (* 2 (/ 1 b)) (/ a (pow b 2)))))
(* b (+ (* 1/2 (/ 1 a)) (/ 1 b)))
(* b (+ (* 1/2 (/ a (pow b 2))) (+ (* 1/2 (/ 1 a)) (/ 1 b))))
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (/ (+ (* -1/2 a) (* 1/2 a)) b))
(/ (* eps (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (- a (* -1 b)))) 1))) (* (- (exp (* 3 (* a eps))) 1) (- (exp (* b eps)) 1)))
(* (pow b 2) (+ (* -1 (/ (- (* -1 (/ a b)) 2) b)) (/ 1 a)))
(* -1 (* b (- (* -1 (/ (+ 1 (* 1/2 (/ a b))) b)) (* 1/2 (/ 1 a)))))
(/ (- (exp (* eps (- a (* -1 b)))) 1) (- (exp (* b eps)) 1))
(/ (* (+ 1 (+ (exp (* 2 (* a eps))) (exp (* a eps)))) (- (exp (* eps (- a (* -1 b)))) 1)) (- (exp (* b eps)) 1))
(/ (+ a b) (* a b))
(+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (+ (* 1/6 (/ (pow (+ a b) 3) (* a b))) (* eps (- (* 1/24 (/ (pow (+ a b) 4) (* a b))) (+ (/ (* (+ a b) (+ (* 1/24 (* a (pow b 4))) (+ (* 1/24 (* (pow a 4) b)) (+ (* 1/12 (* (pow a 2) (pow b 3))) (* 1/12 (* (pow a 3) (pow b 2))))))) (* (pow a 2) (pow b 2))) (+ (/ (* (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2))))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b))))) (* a b))))))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(+ 3 (* eps (+ a (* 2 a))))
(+ 3 (* eps (+ a (+ (* 2 a) (* eps (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))))))
(+ 3 (* eps (+ a (+ (* 2 a) (* eps (+ (* 1/2 (pow a 2)) (+ (* 2 (pow a 2)) (* eps (+ (* 1/6 (pow a 3)) (* 4/3 (pow a 3)))))))))))
(+ (* eps (- (* 1/3 (/ (+ (* 3/2 (pow (+ a b) 2)) (* (+ a b) (+ a (* 2 a)))) (* a b))) (* 1/3 (/ (* (+ a b) (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))))) (+ (/ 1 a) (/ 1 b)))
(+ (* eps (- (+ (* 1/3 (/ (+ (* 3/2 (pow (+ a b) 2)) (* (+ a b) (+ a (* 2 a)))) (* a b))) (* eps (- (* 1/3 (/ (+ (* 1/2 (* (pow (+ a b) 2) (+ a (* 2 a)))) (+ (* 1/2 (pow (+ a b) 3)) (* (+ a b) (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))))) (* a b))) (+ (* 1/3 (/ (* (+ a b) (+ (* 1/2 (* a (pow b 3))) (+ (* 9/4 (* (pow a 2) (pow b 2))) (* 9/2 (* (pow a 3) b))))) (* (pow a 2) (pow b 2)))) (* 1/3 (/ (* (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b))) (- (* 1/3 (/ (+ (* 3/2 (pow (+ a b) 2)) (* (+ a b) (+ a (* 2 a)))) (* a b))) (* 1/3 (/ (* (+ a b) (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))))) (* a b))))))) (* 1/3 (/ (* (+ a b) (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))))) (+ (/ 1 a) (/ 1 b)))
(+ (* eps (- (+ (* 1/3 (/ (+ (* 3/2 (pow (+ a b) 2)) (* (+ a b) (+ a (* 2 a)))) (* a b))) (* eps (- (+ (* 1/3 (/ (+ (* 1/2 (* (pow (+ a b) 2) (+ a (* 2 a)))) (+ (* 1/2 (pow (+ a b) 3)) (* (+ a b) (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))))) (* a b))) (* eps (- (* 1/3 (/ (+ (* 1/8 (pow (+ a b) 4)) (+ (* 1/6 (* (pow (+ a b) 3) (+ a (* 2 a)))) (+ (* 1/2 (* (pow (+ a b) 2) (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (* (+ a b) (+ (* 1/6 (pow a 3)) (* 4/3 (pow a 3))))))) (* a b))) (+ (* 1/3 (/ (* (+ a b) (+ (* 1/8 (* a (pow b 4))) (+ (* 3/4 (* (pow a 2) (pow b 3))) (+ (* 9/4 (* (pow a 3) (pow b 2))) (* 27/8 (* (pow a 4) b)))))) (* (pow a 2) (pow b 2)))) (+ (* 1/3 (/ (* (+ (* 1/2 (* a (pow b 3))) (+ (* 9/4 (* (pow a 2) (pow b 2))) (* 9/2 (* (pow a 3) b)))) (- (* 1/3 (/ (+ (* 3/2 (pow (+ a b) 2)) (* (+ a b) (+ a (* 2 a)))) (* a b))) (* 1/3 (/ (* (+ a b) (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))))) (* a b))) (* 1/3 (/ (* (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b))) (- (* 1/3 (/ (+ (* 1/2 (* (pow (+ a b) 2) (+ a (* 2 a)))) (+ (* 1/2 (pow (+ a b) 3)) (* (+ a b) (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))))) (* a b))) (+ (* 1/3 (/ (* (+ a b) (+ (* 1/2 (* a (pow b 3))) (+ (* 9/4 (* (pow a 2) (pow b 2))) (* 9/2 (* (pow a 3) b))))) (* (pow a 2) (pow b 2)))) (* 1/3 (/ (* (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b))) (- (* 1/3 (/ (+ (* 3/2 (pow (+ a b) 2)) (* (+ a b) (+ a (* 2 a)))) (* a b))) (* 1/3 (/ (* (+ a b) (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))))) (* a b)))))) (* a b)))))))) (+ (* 1/3 (/ (* (+ a b) (+ (* 1/2 (* a (pow b 3))) (+ (* 9/4 (* (pow a 2) (pow b 2))) (* 9/2 (* (pow a 3) b))))) (* (pow a 2) (pow b 2)))) (* 1/3 (/ (* (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b))) (- (* 1/3 (/ (+ (* 3/2 (pow (+ a b) 2)) (* (+ a b) (+ a (* 2 a)))) (* a b))) (* 1/3 (/ (* (+ a b) (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))))) (* a b))))))) (* 1/3 (/ (* (+ a b) (+ (* 3/2 (* a (pow b 2))) (* 9/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))))) (+ (/ 1 a) (/ 1 b)))
(+ (* -1/2 eps) (* 1/3 (/ 1 a)))
(+ (* eps (- (* -1 (* eps (+ (* -3/4 a) (* 1/2 a)))) 1/2)) (* 1/3 (/ 1 a)))
(+ (* eps (- (* eps (- (* -1 (* eps (+ (* -3/2 (* a (+ (* -3/4 a) (* 1/2 a)))) (+ (* -3/4 (pow a 2)) (* 3/8 (pow a 2)))))) (+ (* -3/4 a) (* 1/2 a)))) 1/2)) (* 1/3 (/ 1 a)))
(* eps (+ (* 3 a) (* 9/2 (* (pow a 2) eps))))
(* eps (+ (* 3 a) (* eps (+ (* 9/2 (* (pow a 3) eps)) (* 9/2 (pow a 2))))))
(* eps (+ (* 3 a) (* eps (+ (* 9/2 (pow a 2)) (* eps (+ (* 27/8 (* (pow a 4) eps)) (* 9/2 (pow a 3))))))))
(+ 1 (+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) b)) (* 1/2 (+ a b)))) (/ a b)))
(+ 1 (+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) b)) (* eps (- (* 1/6 (/ (pow (+ a b) 3) b)) (+ (* 1/6 (* b (+ a b))) (* 1/2 (* b (- (* 1/2 (/ (pow (+ a b) 2) b)) (* 1/2 (+ a b))))))))) (* 1/2 (+ a b)))) (/ a b)))
(+ 1 (+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) b)) (* eps (- (+ (* 1/6 (/ (pow (+ a b) 3) b)) (* eps (- (* 1/24 (/ (pow (+ a b) 4) b)) (+ (* 1/24 (* (pow b 2) (+ a b))) (+ (* 1/6 (* (pow b 2) (- (* 1/2 (/ (pow (+ a b) 2) b)) (* 1/2 (+ a b))))) (* 1/2 (* b (- (* 1/6 (/ (pow (+ a b) 3) b)) (+ (* 1/6 (* b (+ a b))) (* 1/2 (* b (- (* 1/2 (/ (pow (+ a b) 2) b)) (* 1/2 (+ a b)))))))))))))) (+ (* 1/6 (* b (+ a b))) (* 1/2 (* b (- (* 1/2 (/ (pow (+ a b) 2) b)) (* 1/2 (+ a b))))))))) (* 1/2 (+ a b)))) (/ a b)))
(* 3 (/ (+ a b) b))
(+ (* 3 (/ (+ a b) b)) (* eps (- (+ (* 3/2 (/ (pow (+ a b) 2) b)) (/ (* (+ a b) (+ a (* 2 a))) b)) (* 3/2 (+ a b)))))
(+ (* 3 (/ (+ a b) b)) (* eps (- (+ (* 3/2 (/ (pow (+ a b) 2) b)) (+ (* eps (- (+ (* 1/2 (/ (* (pow (+ a b) 2) (+ a (* 2 a))) b)) (+ (* 1/2 (/ (pow (+ a b) 3) b)) (/ (* (+ a b) (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))) b))) (+ (* 1/2 (* b (+ a b))) (* 1/2 (* b (- (+ (* 3/2 (/ (pow (+ a b) 2) b)) (/ (* (+ a b) (+ a (* 2 a))) b)) (* 3/2 (+ a b)))))))) (/ (* (+ a b) (+ a (* 2 a))) b))) (* 3/2 (+ a b)))))
(+ (* 3 (/ (+ a b) b)) (* eps (- (+ (* 3/2 (/ (pow (+ a b) 2) b)) (+ (* eps (- (+ (* 1/2 (/ (* (pow (+ a b) 2) (+ a (* 2 a))) b)) (+ (* 1/2 (/ (pow (+ a b) 3) b)) (+ (* eps (- (+ (* 1/8 (/ (pow (+ a b) 4) b)) (+ (* 1/6 (/ (* (pow (+ a b) 3) (+ a (* 2 a))) b)) (+ (* 1/2 (/ (* (pow (+ a b) 2) (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))) b)) (/ (* (+ a b) (+ (* 1/6 (pow a 3)) (* 4/3 (pow a 3)))) b)))) (+ (* 1/8 (* (pow b 2) (+ a b))) (+ (* 1/6 (* (pow b 2) (- (+ (* 3/2 (/ (pow (+ a b) 2) b)) (/ (* (+ a b) (+ a (* 2 a))) b)) (* 3/2 (+ a b))))) (* 1/2 (* b (- (+ (* 1/2 (/ (* (pow (+ a b) 2) (+ a (* 2 a))) b)) (+ (* 1/2 (/ (pow (+ a b) 3) b)) (/ (* (+ a b) (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))) b))) (+ (* 1/2 (* b (+ a b))) (* 1/2 (* b (- (+ (* 3/2 (/ (pow (+ a b) 2) b)) (/ (* (+ a b) (+ a (* 2 a))) b)) (* 3/2 (+ a b))))))))))))) (/ (* (+ a b) (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))) b)))) (+ (* 1/2 (* b (+ a b))) (* 1/2 (* b (- (+ (* 3/2 (/ (pow (+ a b) 2) b)) (/ (* (+ a b) (+ a (* 2 a))) b)) (* 3/2 (+ a b)))))))) (/ (* (+ a b) (+ a (* 2 a))) b))) (* 3/2 (+ a b)))))

Outputs
(/ 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 (.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (.f64 b eps))) #s(literal 1/2 binary64))) a #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 (fma.f64 (-.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (.f64 b eps))) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 (.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (.f64 b eps))) #s(literal 1/2 binary64))) eps) #s(literal 1/2 binary64))) a (.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64)))) a #s(literal 1 binary64)) a)
(/ (+ 1 (* a (- (+ (* a (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (* a (- (* 1/6 (/ (* (pow eps 3) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/6 binary64)) (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (.f64 b eps))) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (.f64 (-.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (.f64 b eps))) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 (.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (.f64 b eps))) #s(literal 1/2 binary64))) eps) #s(literal 1/2 binary64))) eps) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) (.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (.f64 b eps))) #s(literal 1/2 binary64)))))) a (-.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (.f64 b eps))) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 (.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (.f64 b eps))) #s(literal 1/2 binary64))) eps) #s(literal 1/2 binary64)))) a (.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64)))) a #s(literal 1 binary64)) a)
(/ (+ 1 (/ a b)) a)
(/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a)
1
#s(literal 1 binary64)
(+ 1 (/ a b))
(+.f64 (/.f64 a b) #s(literal 1 binary64))
b
(+ a b)
(+.f64 b a)
(/ (+ (* -1/2 b) (* 1/2 b)) a)
(/.f64 #s(literal 0 binary64) a)
(* -1/2 a)
(*.f64 #s(literal -1/2 binary64) a)
(* a (- (* -1/2 (/ a b)) 1/2))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 a b) #s(literal -1/2 binary64)) a)
(* a (pow b 2))
(.f64 (.f64 b b) a)
(* a (+ (* a b) (pow b 2)))
(.f64 (.f64 (+.f64 b a) b) a)
3
#s(literal 3 binary64)
(+ 3 (* a (+ eps (* 2 eps))))
(fma.f64 #s(literal 3 binary64) (*.f64 a eps) #s(literal 3 binary64))
(+ 3 (* a (+ eps (+ (* 2 eps) (* a (+ (* 1/2 (pow eps 2)) (* 2 (pow eps 2))))))))
(fma.f64 (fma.f64 #s(literal 3 binary64) eps (.f64 (.f64 (*.f64 eps eps) #s(literal 5/2 binary64)) a)) a #s(literal 3 binary64))
(+ 3 (* a (+ eps (+ (* 2 eps) (* a (+ (* 1/2 (pow eps 2)) (+ (* 2 (pow eps 2)) (* a (+ (* 1/6 (pow eps 3)) (* 4/3 (pow eps 3)))))))))))
(fma.f64 (fma.f64 #s(literal 3 binary64) eps (.f64 (fma.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 3/2 binary64)) a (.f64 (.f64 eps eps) #s(literal 5/2 binary64))) a)) a #s(literal 3 binary64))
(/ (+ 1 (* a (- (* 1/3 (/ (+ (* 3 (* eps (exp (* b eps)))) (* (+ eps (* 2 eps)) (- (exp (* b eps)) 1))) (- (exp (* b eps)) 1))) (* 3/2 eps)))) a)
(/.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 #s(literal 3 binary64) eps) (+.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (.f64 b eps)))) (expm1.f64 (.f64 b eps))) #s(literal 1/3 binary64) (*.f64 #s(literal -3/2 binary64) eps)) a #s(literal 1 binary64)) a)
(/ (+ 1 (* a (- (+ (* 1/3 (/ (+ (* 3 (* eps (exp (* b eps)))) (* (+ eps (* 2 eps)) (- (exp (* b eps)) 1))) (- (exp (* b eps)) 1))) (* a (- (* 1/3 (/ (+ (* 3/2 (* (pow eps 2) (exp (* b eps)))) (+ (* eps (* (exp (* b eps)) (+ eps (* 2 eps)))) (* (+ (* 1/2 (pow eps 2)) (* 2 (pow eps 2))) (- (exp (* b eps)) 1)))) (- (exp (* b eps)) 1))) (+ (* 3/2 (* eps (- (* 1/3 (/ (+ (* 3 (* eps (exp (* b eps)))) (* (+ eps (* 2 eps)) (- (exp (* b eps)) 1))) (- (exp (* b eps)) 1))) (* 3/2 eps)))) (* 3/2 (pow eps 2)))))) (* 3/2 eps)))) a)
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(fma.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) b) #s(literal 3/2 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 3 binary64) a) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 3 binary64)) b)) (fma.f64 (+.f64 b a) (/.f64 (.f64 (.f64 a a) #s(literal 5/2 binary64)) b) (.f64 #s(literal -1/2 binary64) (.f64 b (+.f64 (+.f64 b a) (fma.f64 (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) b) #s(literal 3/2 binary64) (.f64 (+.f64 b a) (-.f64 (/.f64 (.f64 #s(literal 3 binary64) a) b) #s(literal 3/2 binary64))))))))) eps (.f64 (+.f64 b a) (-.f64 (/.f64 (.f64 #s(literal 3 binary64) a) b) #s(literal 3/2 binary64))))) eps (.f64 (/.f64 (+.f64 b a) b) #s(literal 3 binary64)))
(+ (* 3 (/ (+ a b) b)) (* eps (- (+ (* 3/2 (/ (pow (+ a b) 2) b)) (+ (* eps (- (+ (* 1/2 (/ (* (pow (+ a b) 2) (+ a (* 2 a))) b)) (+ (* 1/2 (/ (pow (+ a b) 3) b)) (+ (* eps (- (+ (* 1/8 (/ (pow (+ a b) 4) b)) (+ (* 1/6 (/ (* (pow (+ a b) 3) (+ a (* 2 a))) b)) (+ (* 1/2 (/ (* (pow (+ a b) 2) (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))) b)) (/ (* (+ a b) (+ (* 1/6 (pow a 3)) (* 4/3 (pow a 3)))) b)))) (+ (* 1/8 (* (pow b 2) (+ a b))) (+ (* 1/6 (* (pow b 2) (- (+ (* 3/2 (/ (pow (+ a b) 2) b)) (/ (* (+ a b) (+ a (* 2 a))) b)) (* 3/2 (+ a b))))) (* 1/2 (* b (- (+ (* 1/2 (/ (* (pow (+ a b) 2) (+ a (* 2 a))) b)) (+ (* 1/2 (/ (pow (+ a b) 3) b)) (/ (* (+ a b) (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))) b))) (+ (* 1/2 (* b (+ a b))) (* 1/2 (* b (- (+ (* 3/2 (/ (pow (+ a b) 2) b)) (/ (* (+ a b) (+ a (* 2 a))) b)) (* 3/2 (+ a b))))))))))))) (/ (* (+ a b) (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))) b)))) (+ (* 1/2 (* b (+ a b))) (* 1/2 (* b (- (+ (* 3/2 (/ (pow (+ a b) 2) b)) (/ (* (+ a b) (+ a (* 2 a))) b)) (* 3/2 (+ a b)))))))) (/ (* (+ a b) (+ a (* 2 a))) b))) (* 3/2 (+ a b)))))
(fma.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) b) #s(literal 3/2 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 3 binary64) a) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 3 binary64)) b)) (-.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 b a) #s(literal 4 binary64)) b) #s(literal 1/8 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 b a) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal 3 binary64) a) b) (fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 b a) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 a a) #s(literal 5/2 binary64)) b) (.f64 (+.f64 b a) (/.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 3/2 binary64)) b))))) (fma.f64 (.f64 #s(literal 1/2 binary64) b) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 3 binary64) a) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 3 binary64)) b)) (fma.f64 (+.f64 b a) (/.f64 (.f64 (.f64 a a) #s(literal 5/2 binary64)) b) (.f64 #s(literal -1/2 binary64) (.f64 b (+.f64 (+.f64 b a) (fma.f64 (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) b) #s(literal 3/2 binary64) (.f64 (+.f64 b a) (-.f64 (/.f64 (.f64 #s(literal 3 binary64) a) b) #s(literal 3/2 binary64))))))))) (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 b b)) (fma.f64 (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) b) #s(literal 3/2 binary64) (.f64 (+.f64 b a) (-.f64 (/.f64 (.f64 #s(literal 3 binary64) a) b) #s(literal 3/2 binary64)))) (.f64 (.f64 (.f64 (+.f64 b a) b) b) #s(literal 1/8 binary64))))) eps (.f64 (+.f64 b a) (/.f64 (.f64 (.f64 a a) #s(literal 5/2 binary64)) b))) (.f64 (.f64 #s(literal 1/2 binary64) b) (+.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) b) #s(literal 3/2 binary64) (.f64 (+.f64 b a) (-.f64 (/.f64 (.f64 #s(literal 3 binary64) a) b) #s(literal 3/2 binary64)))) (+.f64 b a))))) eps (.f64 (+.f64 b a) (-.f64 (/.f64 (.f64 #s(literal 3 binary64) a) b) #s(literal 3/2 binary64))))) eps (*.f64 (/.f64 (+.f64 b a) b) #s(literal 3 binary64)))

rewrite171.0ms (0.7%)

Memory

11.1MiB live, 200.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	354
0	105	326
1	461	312
2	4113	310
0	8467	298

Stop Event

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

Counts

20 → 628

Calls

Call 1

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

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

eval189.0ms (0.7%)

Memory: -2.8MiB live, 270.5MiB allocated
Compiler: Compiled 54 185 to 4 399 computations (91.9% saved)

prune19.0ms (0.1%)

Memory

26.4MiB live, 65.7MiB allocated

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	919	6	925
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	922	8	930

Accuracy

100.0%

Counts

930 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.6%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (+.f64 b a))) b) a))
▶	59.7%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
▶	49.0%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a))
▶	99.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) b) (+.f64 (/.f64 a b) #s(literal 1 binary64))) a))
▶	99.9%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (+.f64 b a)) a)))
✓	49.2%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
✓	48.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
▶	99.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b)))

Compiler

Compiled 492 to 322 computations (34.6% saved)

simplify147.0ms (0.6%)

Memory

-26.6MiB live, 92.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	315
0	54	321
1	90	321
2	153	321
3	244	311
4	444	311
5	952	311
6	2084	311
7	5053	311
8	7450	311
0	8028	281

Stop Event

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

Calls

Call 1

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

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

localize89.0ms (0.3%)

Memory

18.1MiB live, 133.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	#s(approx (/ (+ b a) b) (+.f64 (/.f64 a b) #s(literal 1 binary64)))
accuracy	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) b) (+.f64 (/.f64 a b) #s(literal 1 binary64))) a))
accuracy	0.0078125	(+.f64 (/.f64 a b) #s(literal 1 binary64))
accuracy	0.11328125	(/.f64 #s(approx (/ (+ b a) b) (+.f64 (/.f64 a b) #s(literal 1 binary64))) a)
accuracy	0	#s(approx (/ (/ (+ b a) b) a) (/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b))
accuracy	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b)))
accuracy	0.0078125	(+.f64 (/.f64 b a) #s(literal 1 binary64))
accuracy	0.1484375	(/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b)
accuracy	0	(/.f64 a b)
accuracy	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a))
accuracy	0.11328125	(/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a)
accuracy	32.32939673940449	#s(approx (/ (+ b a) b) (/.f64 a b))
accuracy	0	(+.f64 b a)
accuracy	0	(*.f64 b a)
accuracy	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
accuracy	25.784626300491233	(/.f64 (+.f64 b a) (*.f64 b a))
accuracy	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (+.f64 b a)) a)))
accuracy	0.02734375	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (+.f64 b a)) a))
accuracy	0.03515625	(/.f64 b (+.f64 b a))
accuracy	0.08984375	(*.f64 (/.f64 b (+.f64 b a)) a)

Samples

70.0ms

256×

valid

Compiler

Compiled 544 to 71 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-div: 19.0ms (34.8% of total)

ival-add: 17.0ms (31.1% of total)

ival-mult: 11.0ms (20.2% of total)

ival-expm1: 8.0ms (14.7% of total)

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

exact: 0.0ms (0% of total)

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

series23.0ms (0.1%)

Memory

-3.7MiB live, 34.1MiB allocated

Counts

20 → 67

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	b	@	inf	((/ 1 (* (/ b (+ b a)) a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (* (/ b (+ b a)) a) (/ b (+ b a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ b a) (* b a) (/ (+ b a) (* b a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (/ a b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ (/ b a) 1) b) (+ (/ b a) 1) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (+ (/ a b) 1))
3.0ms	b	@	-inf	((/ 1 (* (/ b (+ b a)) a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (* (/ b (+ b a)) a) (/ b (+ b a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ b a) (* b a) (/ (+ b a) (* b a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (/ a b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ (/ b a) 1) b) (+ (/ b a) 1) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (+ (/ a b) 1))
3.0ms	a	@	-inf	((/ 1 (* (/ b (+ b a)) a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (* (/ b (+ b a)) a) (/ b (+ b a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ b a) (* b a) (/ (+ b a) (* b a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (/ a b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ (/ b a) 1) b) (+ (/ b a) 1) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (+ (/ a b) 1))
2.0ms	a	@	inf	((/ 1 (* (/ b (+ b a)) a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (* (/ b (+ b a)) a) (/ b (+ b a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ b a) (* b a) (/ (+ b a) (* b a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (/ a b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ (/ b a) 1) b) (+ (/ b a) 1) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (+ (/ a b) 1))
2.0ms	b	@	0	((/ 1 (* (/ b (+ b a)) a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (* (/ b (+ b a)) a) (/ b (+ b a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ b a) (* b a) (/ (+ b a) (* b a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (/ a b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ (/ b a) 1) b) (+ (/ b a) 1) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (+ (/ a b) 1))

simplify139.0ms (0.5%)

Memory

15.6MiB live, 167.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	362	1856
1	1088	1781
2	3239	1680
0	8106	1538

Stop Event

1×	iter limit
1×	node limit

Counts

67 → 65

Calls

Call 1

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

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

rewrite198.0ms (0.8%)

Memory

13.3MiB live, 177.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	293
0	54	289
1	216	289
2	1590	289
0	8116	259

Stop Event

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

Counts

20 → 586

Calls

Call 1

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

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

eval89.0ms (0.3%)

Memory: -24.7MiB live, 134.2MiB allocated
Compiler: Compiled 25 378 to 2 373 computations (90.6% saved)

prune33.0ms (0.1%)

Memory

-7.4MiB live, 31.8MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	578	1	579
Fresh	0	1	1
Picked	0	5	5
Done	0	2	2
Total	578	9	587

Accuracy

100.0%

Counts

587 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.6%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (+.f64 b a))) b) a))
✓	59.7%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
✓	49.0%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a))
✓	99.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) b) (+.f64 (/.f64 a b) #s(literal 1 binary64))) a))
✓	99.9%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (+.f64 b a)) a)))
✓	49.2%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
✓	48.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
✓	99.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b)))
▶	48.6%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (/.f64 #s(approx (+ (/ b a) 1) (/.f64 b a)) b)))

Compiler

Compiled 318 to 208 computations (34.6% saved)

simplify126.0ms (0.5%)

Memory

6.9MiB live, 117.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (+.f64 b a))) b)
cost-diff	0	(/.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (+.f64 b a))) b) a)
cost-diff	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (+.f64 b a))) b) a))
cost-diff	1792	(*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (+.f64 b a)))
cost-diff	0	#s(approx (+ (/ b a) 1) (/.f64 b a))
cost-diff	0	(/.f64 #s(approx (+ (/ b a) 1) (/.f64 b a)) b)
cost-diff	0	#s(approx (/ (/ (+ b a) b) a) (/.f64 #s(approx (+ (/ b a) 1) (/.f64 b a)) b))
cost-diff	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (/.f64 #s(approx (+ (/ b a) 1) (/.f64 b a)) b)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	168
0	40	144
1	74	144
2	144	144
3	222	144
4	375	144
5	702	144
6	1308	144
7	3519	144
8	6262	144
9	7625	144
10	7930	144
0	8007	132

Stop Event

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

Calls

Call 1

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

Outputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (/.f64 #s(approx (+ (/ b a) 1) (/.f64 b a)) b)))
#s(approx (/ (/ (+ b a) b) a) (/.f64 #s(approx (+ (/ b a) 1) (/.f64 b a)) b))
(/.f64 #s(approx (+ (/ b a) 1) (/.f64 b a)) b)
#s(approx (+ (/ b a) 1) (/.f64 b a))
(/.f64 b a)
b
a
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (+.f64 b a))) b) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) b) a))
(/.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (+.f64 b a))) b) a)
(/.f64 (/.f64 (+.f64 b a) b) a)
(/.f64 (*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (+.f64 b a))) b)
(/.f64 (+.f64 b a) b)
(*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (+.f64 b a)))
(+.f64 b a)
(sqrt.f64 (+.f64 b a))
(+.f64 b a)
b
a

localize68.0ms (0.3%)

Memory

29.9MiB live, 114.0MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(sqrt.f64 (+.f64 b a))
accuracy	0.01171875	(/.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (+.f64 b a))) b) a)
accuracy	0.01171875	(/.f64 (*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (+.f64 b a))) b)
accuracy	0.2734375	(*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (+.f64 b a)))
accuracy	0	#s(approx (/ (/ (+ b a) b) a) (/.f64 #s(approx (+ (/ b a) 1) (/.f64 b a)) b))
accuracy	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (/.f64 #s(approx (+ (/ b a) 1) (/.f64 b a)) b)))
accuracy	0.13671875	(/.f64 #s(approx (+ (/ b a) 1) (/.f64 b a)) b)
accuracy	1.9703932128510442	#s(approx (+ (/ b a) 1) (/.f64 b a))

Samples

31.0ms	128×	0	invalid
22.0ms	128×	0	valid

Compiler

Compiled 284 to 59 computations (79.2% saved)

Precisions

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

ival-div: 11.0ms (35.1% of total)

ival-mult: 11.0ms (35.1% of total)

ival-add: 4.0ms (12.8% of total)

ival-expm1: 4.0ms (12.8% of total)

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

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

exact: 0.0ms (0% of total)

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

series18.0ms (0.1%)

Memory

-6.4MiB live, 30.2MiB allocated

Counts

9 → 56

Calls

Call 1

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

Outputs
(/ 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)
(/ (+ 1 (/ a b)) a)
(/ b a)
(/ (+ a b) a)
b
(+ a b)
1
(+ 1 (/ a b))
(sqrt b)
(+ (sqrt b) (* 1/2 (* a (sqrt (/ 1 b)))))
(+ (sqrt b) (* a (+ (* -1/8 (* a (sqrt (/ 1 (pow b 3))))) (* 1/2 (sqrt (/ 1 b))))))
(+ (sqrt b) (* a (+ (* 1/2 (sqrt (/ 1 b))) (* a (+ (* -1/8 (sqrt (/ 1 (pow b 3)))) (* 1/16 (* a (sqrt (/ 1 (pow b 5))))))))))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ 1 b)
(+ (/ 1 a) (/ 1 b))
(+ 1 (/ b a))
a
(* a (+ 1 (/ b a)))
(/ a b)
(* a (+ (/ 1 a) (/ 1 b)))
(sqrt a)
(* a (+ (sqrt (/ 1 a)) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow a 7))) (pow b 3))) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b))))))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (/ (pow b 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (/ (pow b 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow a 7))) (/ (pow b 3) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(/ (+ 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)
(/ (+ 1 (/ b a)) b)
(/ (+ a b) b)
(+ (sqrt a) (* 1/2 (* (sqrt (/ 1 a)) b)))
(+ (sqrt a) (* b (+ (* -1/8 (* (sqrt (/ 1 (pow a 3))) b)) (* 1/2 (sqrt (/ 1 a))))))
(+ (sqrt a) (* b (+ (* 1/2 (sqrt (/ 1 a))) (* b (+ (* -1/8 (sqrt (/ 1 (pow a 3)))) (* 1/16 (* (sqrt (/ 1 (pow a 5))) b)))))))
(* b (+ (/ 1 a) (/ 1 b)))
(* b (+ 1 (/ a b)))
(* b (+ (sqrt (/ 1 b)) (* 1/2 (* a (sqrt (/ 1 (pow b 3)))))))
(* b (+ (sqrt (/ 1 b)) (+ (* -1/8 (* (pow a 2) (sqrt (/ 1 (pow b 5))))) (* 1/2 (* a (sqrt (/ 1 (pow b 3))))))))
(* b (+ (sqrt (/ 1 b)) (+ (* -1/8 (* (pow a 2) (sqrt (/ 1 (pow b 5))))) (+ (* 1/16 (* (pow a 3) (sqrt (/ 1 (pow b 7))))) (* 1/2 (* a (sqrt (/ 1 (pow b 3)))))))))
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* (sqrt b) (pow (sqrt -1) 2)))
(* -1 (* b (+ (* 1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))))
(* -1 (* b (+ (* -1/8 (* (/ (pow a 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2))))))
(* -1 (* b (+ (* -1/8 (* (/ (pow a 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/16 (* (/ (pow a 3) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow b 7))))) (+ (* 1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))))))
(/ (+ 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)))

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	a	@	inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ (/ b a) 1) b) (+ (/ b a) 1) (* (sqrt (+ b a)) (sqrt (+ b a))) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (* (sqrt (+ b a)) (sqrt (+ b a))) b) a) (/ (* (sqrt (+ b a)) (sqrt (+ b a))) b) (sqrt (+ b a)))
2.0ms	b	@	-inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ (/ b a) 1) b) (+ (/ b a) 1) (* (sqrt (+ b a)) (sqrt (+ b a))) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (* (sqrt (+ b a)) (sqrt (+ b a))) b) a) (/ (* (sqrt (+ b a)) (sqrt (+ b a))) b) (sqrt (+ b a)))
2.0ms	a	@	-inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ (/ b a) 1) b) (+ (/ b a) 1) (* (sqrt (+ b a)) (sqrt (+ b a))) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (* (sqrt (+ b a)) (sqrt (+ b a))) b) a) (/ (* (sqrt (+ b a)) (sqrt (+ b a))) b) (sqrt (+ b a)))
2.0ms	b	@	inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ (/ b a) 1) b) (+ (/ b a) 1) (* (sqrt (+ b a)) (sqrt (+ b a))) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (* (sqrt (+ b a)) (sqrt (+ b a))) b) a) (/ (* (sqrt (+ b a)) (sqrt (+ b a))) b) (sqrt (+ b a)))
1.0ms	a	@	0	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ (/ b a) 1) b) (+ (/ b a) 1) (* (sqrt (+ b a)) (sqrt (+ b a))) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (* (sqrt (+ b a)) (sqrt (+ b a))) b) a) (/ (* (sqrt (+ b a)) (sqrt (+ b a))) b) (sqrt (+ b a)))

simplify191.0ms (0.7%)

Memory

-11.4MiB live, 216.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	345	1881
1	1016	1813
2	3317	1807
0	8814	1639

Stop Event

1×	iter limit
1×	node limit

Counts

56 → 54

Calls

Call 1

Inputs
(/ 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)
(/ (+ 1 (/ a b)) a)
(/ b a)
(/ (+ a b) a)
b
(+ a b)
1
(+ 1 (/ a b))
(sqrt b)
(+ (sqrt b) (* 1/2 (* a (sqrt (/ 1 b)))))
(+ (sqrt b) (* a (+ (* -1/8 (* a (sqrt (/ 1 (pow b 3))))) (* 1/2 (sqrt (/ 1 b))))))
(+ (sqrt b) (* a (+ (* 1/2 (sqrt (/ 1 b))) (* a (+ (* -1/8 (sqrt (/ 1 (pow b 3)))) (* 1/16 (* a (sqrt (/ 1 (pow b 5))))))))))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ 1 b)
(+ (/ 1 a) (/ 1 b))
(+ 1 (/ b a))
a
(* a (+ 1 (/ b a)))
(/ a b)
(* a (+ (/ 1 a) (/ 1 b)))
(sqrt a)
(* a (+ (sqrt (/ 1 a)) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow a 7))) (pow b 3))) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b))))))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (/ (pow b 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (/ (pow b 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow a 7))) (/ (pow b 3) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(/ (+ 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)
(/ (+ 1 (/ b a)) b)
(/ (+ a b) b)
(+ (sqrt a) (* 1/2 (* (sqrt (/ 1 a)) b)))
(+ (sqrt a) (* b (+ (* -1/8 (* (sqrt (/ 1 (pow a 3))) b)) (* 1/2 (sqrt (/ 1 a))))))
(+ (sqrt a) (* b (+ (* 1/2 (sqrt (/ 1 a))) (* b (+ (* -1/8 (sqrt (/ 1 (pow a 3)))) (* 1/16 (* (sqrt (/ 1 (pow a 5))) b)))))))
(* b (+ (/ 1 a) (/ 1 b)))
(* b (+ 1 (/ a b)))
(* b (+ (sqrt (/ 1 b)) (* 1/2 (* a (sqrt (/ 1 (pow b 3)))))))
(* b (+ (sqrt (/ 1 b)) (+ (* -1/8 (* (pow a 2) (sqrt (/ 1 (pow b 5))))) (* 1/2 (* a (sqrt (/ 1 (pow b 3))))))))
(* b (+ (sqrt (/ 1 b)) (+ (* -1/8 (* (pow a 2) (sqrt (/ 1 (pow b 5))))) (+ (* 1/16 (* (pow a 3) (sqrt (/ 1 (pow b 7))))) (* 1/2 (* a (sqrt (/ 1 (pow b 3)))))))))
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* (sqrt b) (pow (sqrt -1) 2)))
(* -1 (* b (+ (* 1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))))
(* -1 (* b (+ (* -1/8 (* (/ (pow a 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2))))))
(* -1 (* b (+ (* -1/8 (* (/ (pow a 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/16 (* (/ (pow a 3) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow b 7))))) (+ (* 1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))))))
(/ (+ 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)))

Outputs
(/ 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 (.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (.f64 b eps))) #s(literal 1/2 binary64))) a #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 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (.f64 b eps))) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (.f64 b eps))) #s(literal 1/2 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) a (.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (.f64 b eps))) #s(literal 1/2 binary64)))) a #s(literal 1 binary64)) a)
(/ (+ 1 (* a (- (+ (* a (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (* a (- (* 1/6 (/ (* (pow eps 3) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (.f64 b eps))) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (.f64 b eps))) #s(literal 1/2 binary64)))) (.f64 eps eps) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (.f64 b eps))) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (.f64 b eps))) #s(literal 1/2 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) eps) #s(literal 1/2 binary64)))) a (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (.f64 b eps))) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (.f64 b eps))) #s(literal 1/2 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))) a (.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64)))) a #s(literal 1 binary64)) a)
(/ (+ 1 (/ a b)) a)
(/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b)
(/ b a)
(/.f64 b a)
(/ (+ a b) a)
(/.f64 (+.f64 b a) a)
b
(+ a b)
(+.f64 b a)
1
#s(literal 1 binary64)
(+ 1 (/ a b))
(+.f64 (/.f64 a b) #s(literal 1 binary64))
(sqrt b)
(sqrt.f64 b)
(+ (sqrt b) (* 1/2 (* a (sqrt (/ 1 b)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 b))
(+ (sqrt b) (* a (+ (* -1/8 (* a (sqrt (/ 1 (pow b 3))))) (* 1/2 (sqrt (/ 1 b))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) #s(literal 1/2 binary64))) a (sqrt.f64 b))
(+ (sqrt b) (* a (+ (* 1/2 (sqrt (/ 1 b))) (* a (+ (* -1/8 (sqrt (/ 1 (pow b 3)))) (* 1/16 (* a (sqrt (/ 1 (pow b 5))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) #s(literal -1/8 binary64))) a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) #s(literal 1/2 binary64))) a (sqrt.f64 b))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) eps) (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (*.f64 a eps))))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+ 1 (/ b a))
(+.f64 (/.f64 b a) #s(literal 1 binary64))
a
(* a (+ 1 (/ b a)))
(fma.f64 (/.f64 b a) a a)
(/ a b)
(/.f64 a b)
(* a (+ (/ 1 a) (/ 1 b)))
(+.f64 (/.f64 a b) #s(literal 1 binary64))
(sqrt a)
(sqrt.f64 a)
(* a (+ (sqrt (/ 1 a)) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) a)
(* a (+ (sqrt (/ 1 a)) (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) a)
(* a (+ (sqrt (/ 1 a)) (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow a 7))) (pow b 3))) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b))))))
(.f64 (+.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (fma.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))))))) a)
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) eps) (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (*.f64 a eps))))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(fma.f64 (/.f64 b a) a a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (neg.f64 a))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (/ (pow b 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 b b) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))) (neg.f64 a))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (/ (pow b 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow a 7))) (/ (pow b 3) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 b b) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))) (neg.f64 a))
(/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b)
(/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b)
(/ (+ 1 (* b (- (+ (* b (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (.f64 a eps))) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) b (.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64)))) b #s(literal 1 binary64)) b)
(/ (+ 1 (* b (- (+ (* b (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (* b (- (* 1/6 (/ (* (pow eps 3) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (.f64 a eps))) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64)))) (.f64 eps eps) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (.f64 a eps))) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) eps) #s(literal 1/2 binary64)))) b (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (.f64 a eps))) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))) b (.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps))) #s(literal 1/2 binary64)))) b #s(literal 1 binary64)) b)
(/ (+ 1 (/ b a)) b)
(/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b)
(/ (+ a b) b)
(/.f64 (+.f64 b a) b)
(+ (sqrt a) (* 1/2 (* (sqrt (/ 1 a)) b)))
(fma.f64 (*.f64 b #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (sqrt.f64 a))
(+ (sqrt a) (* b (+ (* -1/8 (* (sqrt (/ 1 (pow a 3))) b)) (* 1/2 (sqrt (/ 1 a))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/2 binary64))) b (sqrt.f64 a))
(+ (sqrt a) (* b (+ (* 1/2 (sqrt (/ 1 a))) (* b (+ (* -1/8 (sqrt (/ 1 (pow a 3)))) (* 1/16 (* (sqrt (/ 1 (pow a 5))) b)))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/8 binary64))) b (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/2 binary64))) b (sqrt.f64 a))
(* b (+ (/ 1 a) (/ 1 b)))
(+.f64 (/.f64 b a) #s(literal 1 binary64))
(* b (+ 1 (/ a b)))
(fma.f64 (/.f64 a b) b b)
(* b (+ (sqrt (/ 1 b)) (* 1/2 (* a (sqrt (/ 1 (pow b 3)))))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) b))) b)
(* b (+ (sqrt (/ 1 b)) (+ (* -1/8 (* (pow a 2) (sqrt (/ 1 (pow b 5))))) (* 1/2 (* a (sqrt (/ 1 (pow b 3))))))))
(.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) a) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) b)))) b)
(* b (+ (sqrt (/ 1 b)) (+ (* -1/8 (* (pow a 2) (sqrt (/ 1 (pow b 5))))) (+ (* 1/16 (* (pow a 3) (sqrt (/ 1 (pow b 7))))) (* 1/2 (* a (sqrt (/ 1 (pow b 3)))))))))
(.f64 (+.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) a) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))) (.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/16 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 7 binary64)))))) (fma.f64 (.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) b)))) b)
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) eps) (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (*.f64 a eps))))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(fma.f64 (/.f64 a b) b b)
(* -1 (* (sqrt b) (pow (sqrt -1) 2)))
(sqrt.f64 b)
(* -1 (* b (+ (* 1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)))) (neg.f64 b))
(* -1 (* b (+ (* -1/8 (* (/ (pow a 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2))))))
(.f64 (fma.f64 (.f64 (/.f64 (.f64 a a) #s(literal -1 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b))))) (neg.f64 b))
(* -1 (* b (+ (* -1/8 (* (/ (pow a 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/16 (* (/ (pow a 3) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow b 7))))) (+ (* 1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))))))
(.f64 (fma.f64 (/.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 7 binary64)))) (fma.f64 (.f64 (/.f64 (.f64 a a) #s(literal -1 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)))))) (neg.f64 b))
(/ (+ a b) (* a b))
(/.f64 (/.f64 (+.f64 b a) b) a)
(+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64)) (.f64 b b)) (/.f64 (/.f64 (+.f64 b a) a) a) (.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a))) eps (+.f64 (/.f64 #s(literal 1 binary64) 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 (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64)) (.f64 b b)) (/.f64 (/.f64 (+.f64 b a) a) a) (fma.f64 (-.f64 (.f64 (/.f64 #s(literal 1/6 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 3 binary64)) a)) (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (pow.f64 b #s(literal 3 binary64)) a (.f64 (pow.f64 a #s(literal 3 binary64)) b)) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 b a) a) b))) a) b) (/.f64 (/.f64 (+.f64 b a) b) a) (.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64)) (.f64 b b)) (/.f64 (/.f64 (+.f64 b a) a) a) (.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a))) (.f64 (/.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) a) (/.f64 #s(literal 1/2 binary64) b))))) eps (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a)))) eps (+.f64 (/.f64 #s(literal 1 binary64) 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))) (* 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 (fma.f64 (fma.f64 (-.f64 (.f64 (/.f64 #s(literal 1/24 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 4 binary64)) a)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 b #s(literal 4 binary64)) a (.f64 (pow.f64 a #s(literal 4 binary64)) b)) (.f64 (fma.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) b) b (.f64 (.f64 (pow.f64 b #s(literal 3 binary64)) a) a)) #s(literal 1/12 binary64))) (.f64 b a)) (/.f64 (/.f64 (+.f64 b a) b) a) (fma.f64 (-.f64 (.f64 (/.f64 #s(literal 1/6 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 3 binary64)) a)) (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (pow.f64 b #s(literal 3 binary64)) a (.f64 (pow.f64 a #s(literal 3 binary64)) b)) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 b a) a) b))) a) b) (/.f64 (/.f64 (+.f64 b a) b) a) (.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64)) (.f64 b b)) (/.f64 (/.f64 (+.f64 b a) a) a) (.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a))) (.f64 (/.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) a) (/.f64 #s(literal 1/2 binary64) b))))) (.f64 (/.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) a) (/.f64 #s(literal 1/2 binary64) b)) (.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64)) (.f64 b b)) (/.f64 (/.f64 (+.f64 b a) a) a) (.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (pow.f64 b #s(literal 3 binary64)) a (.f64 (pow.f64 a #s(literal 3 binary64)) b)) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 b a) a) b))) (.f64 b a)))))) eps (-.f64 (.f64 (/.f64 #s(literal 1/6 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 3 binary64)) a)) (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (pow.f64 b #s(literal 3 binary64)) a (.f64 (pow.f64 a #s(literal 3 binary64)) b)) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 b a) a) b))) a) b) (/.f64 (/.f64 (+.f64 b a) b) a) (.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64)) (.f64 b b)) (/.f64 (/.f64 (+.f64 b a) a) a) (.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a))) (.f64 (/.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) a) (/.f64 #s(literal 1/2 binary64) b)))))) eps (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64)) (.f64 b b)) (/.f64 (/.f64 (+.f64 b a) a) a) (.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a)))) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))

rewrite153.0ms (0.6%)

Memory

17.7MiB live, 170.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	158
0	40	134
1	177	134
2	1408	134
0	8464	122

Stop Event

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

Counts

9 → 361

Calls

Call 1

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

Outputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (/.f64 #s(approx (+ (/ b a) 1) (/.f64 b a)) b)))
#s(approx (/ (/ (+ b a) b) a) (/.f64 #s(approx (+ (/ b a) 1) (/.f64 b a)) b))
(.f64 (.f64 #s(approx (+ (/ b a) 1) (/.f64 b a)) #s(literal 1 binary64)) (pow.f64 b #s(literal -1 binary64)))
(*.f64 (neg.f64 (neg.f64 #s(approx (+ (/ b a) 1) (/.f64 b a)))) (pow.f64 b #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 b #s(approx (+ (/ b a) 1) (/.f64 b a))))))
(*.f64 (pow.f64 b #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (+ (/ b a) 1) (/.f64 b a)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 b #s(literal -1 binary64)) #s(approx (+ (/ b a) 1) (/.f64 b a)))
(*.f64 (neg.f64 #s(approx (+ (/ b a) 1) (/.f64 b a))) (pow.f64 (neg.f64 b) #s(literal -1 binary64)))
(*.f64 #s(approx (+ (/ b a) 1) (/.f64 b a)) (pow.f64 b #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (/ b a) 1) (/.f64 b a)) b))
(pow.f64 (/.f64 b #s(approx (+ (/ b a) 1) (/.f64 b a))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(approx (+ (/ b a) 1) (/.f64 b a)) #s(literal 1 binary64))) (neg.f64 b))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (/ b a) 1) (/.f64 b a))))) (neg.f64 (neg.f64 (neg.f64 b))))
(/.f64 (*.f64 #s(approx (+ (/ b a) 1) (/.f64 b a)) #s(literal 1 binary64)) b)
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (/ b a) 1) (/.f64 b a)))) (neg.f64 (neg.f64 b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b #s(approx (+ (/ b a) 1) (/.f64 b a)))))
(/.f64 (neg.f64 #s(approx (+ (/ b a) 1) (/.f64 b a))) (neg.f64 b))
(/.f64 #s(approx (+ (/ b a) 1) (/.f64 b a)) b)
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(approx (+ (/ b a) 1) (/.f64 b a)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 b #s(approx (+ (/ b a) 1) (/.f64 b a))))))
(/.f64 #s(literal 1 binary64) (/.f64 b #s(approx (+ (/ b a) 1) (/.f64 b a))))
(neg.f64 (/.f64 (neg.f64 #s(approx (+ (/ b a) 1) (/.f64 b a))) b))
(neg.f64 (/.f64 #s(approx (+ (/ b a) 1) (/.f64 b a)) (neg.f64 b)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 b)) (/.f64 #s(approx (+ (/ b a) 1) (/.f64 b a)) (neg.f64 b)))
(exp.f64 (*.f64 (log.f64 (/.f64 b #s(approx (+ (/ b a) 1) (/.f64 b a)))) #s(literal -1 binary64)))
#s(approx (+ (/ b a) 1) (/.f64 b a))
(.f64 (fabs.f64 (.f64 (+.f64 b a) (-.f64 b a))) (fabs.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64))))
(.f64 (fabs.f64 (.f64 (+.f64 b a) (-.f64 a b))) (fabs.f64 (pow.f64 (-.f64 a b) #s(literal -1 binary64))))
(.f64 (fabs.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fabs.f64 (pow.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) #s(literal -1 binary64))))
(.f64 (fabs.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fabs.f64 (pow.f64 (fma.f64 b (-.f64 b a) (.f64 a a)) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 b a) #s(literal 3/2 binary64))) (pow.f64 (+.f64 b a) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 b a) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 b a) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (+.f64 b a) (-.f64 b a)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (+.f64 b a) (-.f64 a b)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 a b) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 b (-.f64 b a) (.f64 a a)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 b a) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (+.f64 b a) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (+.f64 b a) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (+.f64 b a) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(.f64 (neg.f64 (.f64 (+.f64 b a) (-.f64 b a))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 b a))))
(.f64 (neg.f64 (.f64 (+.f64 b a) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 a b))))
(.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a (-.f64 a b) (.f64 b b)))))
(.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 b (-.f64 b a) (.f64 a a)))))
(.f64 (.f64 (+.f64 b a) (-.f64 b a)) (pow.f64 (-.f64 b a) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 b a) (-.f64 a b)) (pow.f64 (-.f64 a b) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 (fma.f64 b (-.f64 b a) (.f64 a a)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (+.f64 b a)) (log.f64 (exp.f64 (sqrt.f64 (+.f64 b a)))))
(*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (+.f64 b a)))
(*.f64 #s(literal 1 binary64) (+.f64 b a))
(pow.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 b a) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (+.f64 b a)) #s(literal 2 binary64))
(pow.f64 (+.f64 b a) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 b b) (-.f64 b a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 a a) (-.f64 b a)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 b b) (-.f64 b a)) (/.f64 (.f64 b b) (-.f64 b a)) (fma.f64 (/.f64 (.f64 a a) (-.f64 b a)) (/.f64 (.f64 a a) (-.f64 b a)) (.f64 (/.f64 (.f64 b b) (-.f64 b a)) (/.f64 (*.f64 a a) (-.f64 b a))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 a a) (-.f64 a b)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 b b) (-.f64 a b)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 a a) (-.f64 a b)) (/.f64 (.f64 a a) (-.f64 a b)) (fma.f64 (/.f64 (.f64 b b) (-.f64 a b)) (/.f64 (.f64 b b) (-.f64 a b)) (.f64 (/.f64 (.f64 a a) (-.f64 a b)) (/.f64 (*.f64 b b) (-.f64 a b))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 b a) (-.f64 b a)))) (neg.f64 (neg.f64 (-.f64 b a))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 b a) (-.f64 a b)))) (neg.f64 (neg.f64 (-.f64 a b))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)))))
(/.f64 (-.f64 (.f64 (.f64 b b) (-.f64 b a)) (.f64 (-.f64 b a) (.f64 a a))) (pow.f64 (-.f64 b a) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 a a) (-.f64 a b)) (.f64 (-.f64 a b) (.f64 b b))) (pow.f64 (-.f64 a b) #s(literal 2 binary64)))
(/.f64 (fabs.f64 (neg.f64 (*.f64 (+.f64 b a) (-.f64 b a)))) (fabs.f64 (neg.f64 (-.f64 b a))))
(/.f64 (fabs.f64 (neg.f64 (*.f64 (+.f64 b a) (-.f64 a b)))) (fabs.f64 (neg.f64 (-.f64 a b))))
(/.f64 (fabs.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (fabs.f64 (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)))))
(/.f64 (fabs.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (fabs.f64 (neg.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)))))
(/.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a))) (fabs.f64 (-.f64 b a)))
(/.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 a b))) (fabs.f64 (-.f64 a b)))
(/.f64 (fabs.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fabs.f64 (fma.f64 a (-.f64 a b) (*.f64 b b))))
(/.f64 (fabs.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fabs.f64 (fma.f64 b (-.f64 b a) (*.f64 a a))))
(/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 b a) (-.f64 b a)) (+.f64 b a))) (sqrt.f64 (-.f64 b a)))
(/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 b a) (-.f64 a b)) (+.f64 b a))) (sqrt.f64 (-.f64 a b)))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 b a))) (sqrt.f64 (fma.f64 a (-.f64 a b) (.f64 b b))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 b a))) (sqrt.f64 (fma.f64 b (-.f64 b a) (.f64 a a))))
(/.f64 (sqrt.f64 (.f64 (+.f64 b a) (.f64 (+.f64 b a) (-.f64 b a)))) (sqrt.f64 (-.f64 b a)))
(/.f64 (sqrt.f64 (.f64 (+.f64 b a) (.f64 (+.f64 b a) (-.f64 a b)))) (sqrt.f64 (-.f64 a b)))
(/.f64 (sqrt.f64 (.f64 (+.f64 b a) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 a (-.f64 a b) (.f64 b b))))
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(.f64 (pow.f64 (/.f64 b (.f64 (+.f64 b a) (-.f64 b a))) #s(literal -1 binary64)) (pow.f64 (-.f64 b a) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 b (.f64 (+.f64 b a) (-.f64 a b))) #s(literal -1 binary64)) (pow.f64 (-.f64 a b) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 b (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 b (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 b (-.f64 b a) (.f64 a a)) #s(literal -1 binary64)))
(.f64 (.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (pow.f64 b #s(literal -1 binary64))) (pow.f64 (-.f64 b a) #s(literal -1 binary64)))
(.f64 (.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (pow.f64 b #s(literal -1 binary64))) (pow.f64 (-.f64 a b) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal -1 binary64))) (pow.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal -1 binary64))) (pow.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (neg.f64 (+.f64 b a))) (pow.f64 b #s(literal -1 binary64)))
(.f64 (.f64 (.f64 (+.f64 b a) (-.f64 b a)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 b a) b)))
(.f64 (.f64 (.f64 (+.f64 b a) (-.f64 a b)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 a b) b)))
(.f64 (.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) b)))
(.f64 (.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 b (-.f64 b a) (.f64 a a)) b)))
(.f64 (.f64 (+.f64 b a) #s(literal 1 binary64)) (pow.f64 b #s(literal -1 binary64)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 b a)) b) (sqrt.f64 (+.f64 b a)))
(.f64 (.f64 (+.f64 b a) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 b (-.f64 b a))))
(.f64 (.f64 (+.f64 b a) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (*.f64 b (-.f64 a b))))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (+.f64 b a)) b))
(*.f64 (pow.f64 b #s(literal -1 binary64)) (+.f64 b a))
(.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 b (fma.f64 a (-.f64 a b) (*.f64 b b)))))
(.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 b (fma.f64 b (-.f64 b a) (*.f64 a a)))))
(*.f64 (neg.f64 (+.f64 b a)) (pow.f64 (neg.f64 b) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 b a) b) (/.f64 (-.f64 b a) (-.f64 b a)))
(*.f64 (/.f64 (+.f64 b a) b) (/.f64 (-.f64 a b) (-.f64 a b)))
(*.f64 (sqrt.f64 (+.f64 b a)) (/.f64 (sqrt.f64 (+.f64 b a)) b))
(*.f64 (+.f64 b a) (pow.f64 b #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 b a) b))
(pow.f64 (/.f64 b (+.f64 b a)) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 b a) (-.f64 b a)) (pow.f64 b #s(literal -1 binary64)))) (neg.f64 (-.f64 b a)))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 b a) (-.f64 a b)) (pow.f64 b #s(literal -1 binary64)))) (neg.f64 (-.f64 a b)))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal -1 binary64)))) (neg.f64 (fma.f64 a (-.f64 a b) (.f64 b b))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal -1 binary64)))) (neg.f64 (fma.f64 b (-.f64 b a) (.f64 a a))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 b a) (-.f64 b a)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 b a) b)))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 b a) (-.f64 a b)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 a b) b)))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) b)))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) b)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 b a)))) (neg.f64 (neg.f64 (neg.f64 b))))
(/.f64 (neg.f64 (*.f64 (+.f64 b a) #s(literal 1 binary64))) (neg.f64 b))
(/.f64 (.f64 (.f64 (+.f64 b a) (-.f64 b a)) (pow.f64 b #s(literal -1 binary64))) (-.f64 b a))
(/.f64 (.f64 (.f64 (+.f64 b a) (-.f64 a b)) (pow.f64 b #s(literal -1 binary64))) (-.f64 a b))
(/.f64 (.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal -1 binary64))) (fma.f64 a (-.f64 a b) (.f64 b b)))
(/.f64 (.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal -1 binary64))) (fma.f64 b (-.f64 b a) (.f64 a a)))
(/.f64 (neg.f64 (.f64 (+.f64 b a) (-.f64 b a))) (neg.f64 (.f64 b (-.f64 b a))))
(/.f64 (neg.f64 (.f64 (+.f64 b a) (-.f64 a b))) (neg.f64 (.f64 b (-.f64 a b))))
(/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (.f64 b (fma.f64 a (-.f64 a b) (.f64 b b)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (.f64 b (fma.f64 b (-.f64 b a) (.f64 a a)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 b a))) (neg.f64 (neg.f64 b)))
(/.f64 (.f64 (.f64 (+.f64 b a) (-.f64 b a)) #s(literal 1 binary64)) (*.f64 (-.f64 b a) b))
(/.f64 (.f64 (.f64 (+.f64 b a) (-.f64 a b)) #s(literal 1 binary64)) (*.f64 (-.f64 a b) b))
(/.f64 (.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) b))
(/.f64 (.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) b))
(/.f64 (*.f64 (+.f64 b a) #s(literal 1 binary64)) b)
(/.f64 (.f64 (+.f64 b a) (-.f64 b a)) (.f64 b (-.f64 b a)))
(/.f64 (.f64 (+.f64 b a) (-.f64 a b)) (.f64 b (-.f64 a b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (+.f64 b a))))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (.f64 b (fma.f64 a (-.f64 a b) (.f64 b b))))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (.f64 b (fma.f64 b (-.f64 b a) (.f64 a a))))
(/.f64 (neg.f64 (+.f64 b a)) (neg.f64 b))
(/.f64 (+.f64 b a) b)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (.f64 (.f64 (+.f64 b a) (-.f64 b a)) (pow.f64 b #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (.f64 (.f64 (+.f64 b a) (-.f64 a b)) (pow.f64 b #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) (.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (-.f64 b a) (.f64 a a)) (.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 b a) b) (.f64 (*.f64 (+.f64 b a) (-.f64 b a)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 a b) b) (.f64 (*.f64 (+.f64 b a) (-.f64 a b)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) b) (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 b (-.f64 b a) (.f64 a a)) b) (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 (+.f64 b a) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 b (-.f64 b a)) (.f64 (+.f64 b a) (-.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 b (-.f64 a b)) (.f64 (+.f64 b a) (-.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 b (fma.f64 a (-.f64 a b) (.f64 b b))) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 b (fma.f64 b (-.f64 b a) (.f64 a a))) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 b (+.f64 b a)))))
(/.f64 #s(literal 1 binary64) (/.f64 b (+.f64 b a)))
(neg.f64 (/.f64 (neg.f64 (+.f64 b a)) b))
(-.f64 (/.f64 (.f64 b b) (.f64 b (-.f64 b a))) (/.f64 (.f64 a a) (.f64 b (-.f64 b a))))
(-.f64 (/.f64 (.f64 a a) (.f64 b (-.f64 a b))) (/.f64 (.f64 b b) (.f64 b (-.f64 a b))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 b)) (/.f64 (neg.f64 (+.f64 b a)) b))
(-.f64 (/.f64 (/.f64 (.f64 b b) (-.f64 b a)) b) (/.f64 (/.f64 (.f64 a a) (-.f64 b a)) b))
(-.f64 (/.f64 (/.f64 (.f64 a a) (-.f64 a b)) b) (/.f64 (/.f64 (.f64 b b) (-.f64 a b)) b))
(exp.f64 (*.f64 (log.f64 (/.f64 b (+.f64 b a))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 b a) #s(literal 3/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (+.f64 b a)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 b a) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 b a) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 b a)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (+.f64 b a) #s(literal 3/2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (+.f64 b a) #s(literal 1/4 binary64)) (pow.f64 (+.f64 b a) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (.f64 (+.f64 b a) (-.f64 b a))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 b a))))
(.f64 (sqrt.f64 (.f64 (+.f64 b a) (-.f64 b a))) (sqrt.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64))))
(.f64 (sqrt.f64 (.f64 (+.f64 b a) (-.f64 b a))) (pow.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (.f64 (+.f64 b a) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a b))))
(.f64 (sqrt.f64 (.f64 (+.f64 b a) (-.f64 a b))) (sqrt.f64 (pow.f64 (-.f64 a b) #s(literal -1 binary64))))
(.f64 (sqrt.f64 (.f64 (+.f64 b a) (-.f64 a b))) (pow.f64 (pow.f64 (-.f64 a b) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a (-.f64 a b) (.f64 b b)))))
(.f64 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b (-.f64 b a) (.f64 a a)))))
(.f64 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (sqrt.f64 (pow.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) #s(literal -1 binary64))))
(.f64 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (sqrt.f64 (pow.f64 (fma.f64 b (-.f64 b a) (.f64 a a)) #s(literal -1 binary64))))
(.f64 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (pow.f64 (pow.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (pow.f64 (pow.f64 (fma.f64 b (-.f64 b a) (.f64 a a)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (+.f64 b a) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 b a) #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (+.f64 b a)) #s(literal 1 binary64))
(pow.f64 (+.f64 b a) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 b a) (-.f64 b a)))) (neg.f64 (sqrt.f64 (-.f64 b a))))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 b a) (-.f64 a b)))) (neg.f64 (sqrt.f64 (-.f64 a b))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)))))
(/.f64 (fabs.f64 (sqrt.f64 (*.f64 (+.f64 b a) (-.f64 b a)))) (fabs.f64 (sqrt.f64 (-.f64 b a))))
(/.f64 (fabs.f64 (sqrt.f64 (*.f64 (+.f64 b a) (-.f64 a b)))) (fabs.f64 (sqrt.f64 (-.f64 a b))))
(/.f64 (fabs.f64 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)))) (fabs.f64 (sqrt.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)))))
(/.f64 (fabs.f64 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)))) (fabs.f64 (sqrt.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)))))
(/.f64 (sqrt.f64 (neg.f64 (*.f64 (+.f64 b a) (-.f64 b a)))) (sqrt.f64 (neg.f64 (-.f64 b a))))
(/.f64 (sqrt.f64 (neg.f64 (*.f64 (+.f64 b a) (-.f64 a b)))) (sqrt.f64 (neg.f64 (-.f64 a b))))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)))))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 b a) (-.f64 b a))) (sqrt.f64 (-.f64 b a)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 b a) (-.f64 a b))) (sqrt.f64 (-.f64 a b)))
(/.f64 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (sqrt.f64 (fma.f64 a (-.f64 a b) (*.f64 b b))))
(/.f64 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (sqrt.f64 (fma.f64 b (-.f64 b a) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 b a)) (sqrt.f64 (*.f64 (+.f64 b a) (-.f64 b a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (*.f64 (+.f64 b a) (-.f64 a b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 a (-.f64 a b) (*.f64 b b))) (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b (-.f64 b a) (*.f64 a a))) (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64))))
(sqrt.f64 (+.f64 b a))
(fabs.f64 (neg.f64 (sqrt.f64 (+.f64 b a))))
(fabs.f64 (sqrt.f64 (+.f64 b a)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 b a))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 b a))))

eval73.0ms (0.3%)

Memory: -11.4MiB live, 111.5MiB allocated
Compiler: Compiled 22 387 to 2 249 computations (90% saved)

prune12.0ms (0%)

Memory

34.5MiB live, 34.5MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	471	1	472
Fresh	0	0	0
Picked	1	1	2
Done	0	7	7
Total	472	9	481

Accuracy

100.0%

Counts

481 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.7%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 b a)) #s(approx (sqrt (+ b a)) (sqrt.f64 b))) b) a))
✓	59.7%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
✓	49.0%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a))
✓	99.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) b) (+.f64 (/.f64 a b) #s(literal 1 binary64))) a))
✓	99.9%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (+.f64 b a)) a)))
✓	49.2%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
✓	48.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
✓	99.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b)))
✓	48.6%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (/.f64 #s(approx (+ (/ b a) 1) (/.f64 b a)) b)))

Compiler

Compiled 839 to 328 computations (60.9% saved)

regimes19.0ms (0.1%)

Memory

-9.2MiB live, 29.3MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	(/.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))))
5.0ms	eps
4.0ms	a
4.0ms	b

Results

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

Compiler

Compiled 27 to 26 computations (3.7% saved)

regimes15.0ms (0.1%)

Memory

-24.1MiB live, 21.3MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	b
3.0ms	eps
3.0ms	a
2.0ms	(/.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
99.8%	1	`a`
99.8%	1	`b`
99.8%	1	`eps`
99.8%	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 27 to 26 computations (3.7% saved)

regimes10.0ms (0%)

Memory

18.2MiB live, 18.2MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	eps
3.0ms	a
3.0ms	b
2.0ms	(/.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
99.8%	1	`a`
99.8%	1	`b`
99.8%	1	`eps`
99.8%	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 27 to 26 computations (3.7% saved)

regimes11.0ms (0%)

Memory

-21.3MiB live, 17.0MiB allocated

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

4.0ms	b
2.0ms	a
2.0ms	eps
2.0ms	(/.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
83.0%	3	`a`
84.5%	3	`b`
73.4%	3	`eps`
59.7%	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 27 to 26 computations (3.7% saved)

regimes3.0ms (0%)

Memory

6.8MiB live, 6.8MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

2 calls:

2.0ms	b
2.0ms	a

Results

Accuracy	Segments	Branch
80.1%	2	`a`
81.0%	2	`b`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes5.0ms (0%)

Memory

11.1MiB live, 11.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
48.8%	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))))`
48.8%	1	`eps`
48.8%	1	`a`
48.8%	1	`b`

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch23.0ms (0.1%)

Memory

-4.1MiB live, 34.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.3604280644428895e-89	6.040441626075427e-89
8.0ms	5.604366052459728e-227	9.644357259208568e-227

Samples

14.0ms

160×

valid

Compiler

Compiled 611 to 445 computations (27.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 5.0ms (47.4% of total)

ival-expm1: 3.0ms (28.5% of total)

ival-div: 2.0ms (19% of total)

ival-add: 1.0ms (9.5% of total)

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

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

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.604366052459728e-227	9.644357259208568e-227

Compiler

Compiled 251 to 187 computations (25.5% saved)

simplify25.0ms (0.1%)

Memory

0.9MiB live, 38.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	296
1	57	296

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (+.f64 b a)) a)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) b) (+.f64 (/.f64 a b) #s(literal 1 binary64))) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b)))
(if (<=.f64 b #s(literal 5067690968988689/53344115463038834192638814325770062377158066578527265283170062494112297902541056572171457606972434325943439284747465923567110413232954920642906848418646640368761260636112116467704626287294512197831720129087092815853525984299811690329311019008 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) (if (<=.f64 b #s(literal 7912570225165747/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))))
(if (<=.f64 b #s(literal 5067690968988689/53344115463038834192638814325770062377158066578527265283170062494112297902541056572171457606972434325943439284747465923567110413232954920642906848418646640368761260636112116467704626287294512197831720129087092815853525984299811690329311019008 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))

Outputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (+.f64 b a)) a)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) b) (+.f64 (/.f64 a b) #s(literal 1 binary64))) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b)))
(if (<=.f64 b #s(literal 5067690968988689/53344115463038834192638814325770062377158066578527265283170062494112297902541056572171457606972434325943439284747465923567110413232954920642906848418646640368761260636112116467704626287294512197831720129087092815853525984299811690329311019008 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) (if (<=.f64 b #s(literal 7912570225165747/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))))
(if (<=.f64 b #s(literal 5067690968988689/53344115463038834192638814325770062377158066578527265283170062494112297902541056572171457606972434325943439284747465923567110413232954920642906848418646640368761260636112116467704626287294512197831720129087092815853525984299811690329311019008 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))

soundness531.0ms (2.1%)

Memory

10.0MiB live, 404.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	914	6410
1	2923	6175
0	8738	5556
0	62	354
0	105	326
1	461	312
2	4113	310
0	8467	298
0	370	2068
1	1205	2020
2	3798	2020
0	8068	1792

Stop Event

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

Compiler

Compiled 403 to 147 computations (63.5% saved)

preprocess50.0ms (0.2%)

Memory: 29.8MiB live, 103.9MiB allocated
Compiler: Compiled 722 to 194 computations (73.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze216.0ms (0.8%)

sample20.6s (79.6%)

explain496.0ms (1.9%)

preprocess257.0ms (1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify176.0ms (0.7%)

localize49.0ms (0.2%)

series58.0ms (0.2%)

simplify173.0ms (0.7%)

rewrite142.0ms (0.5%)

eval44.0ms (0.2%)

prune10.0ms (0%)

simplify155.0ms (0.6%)

localize667.0ms (2.6%)

series207.0ms (0.8%)

simplify198.0ms (0.8%)

rewrite171.0ms (0.7%)

eval189.0ms (0.7%)

prune19.0ms (0.1%)

simplify147.0ms (0.6%)

localize89.0ms (0.3%)

series23.0ms (0.1%)

simplify139.0ms (0.5%)

rewrite198.0ms (0.8%)

eval89.0ms (0.3%)

prune33.0ms (0.1%)

simplify126.0ms (0.5%)

localize68.0ms (0.3%)

series18.0ms (0.1%)

simplify191.0ms (0.7%)

rewrite153.0ms (0.6%)

eval73.0ms (0.3%)

prune12.0ms (0%)

regimes19.0ms (0.1%)

regimes15.0ms (0.1%)

regimes10.0ms (0%)

regimes11.0ms (0%)

regimes3.0ms (0%)

regimes5.0ms (0%)

bsearch23.0ms (0.1%)

bsearch1.0ms (0%)

simplify25.0ms (0.1%)

soundness531.0ms (2.1%)

preprocess50.0ms (0.2%)

end0.0ms (0%)

Profiling