Metrics for expq3 (problem 3.4.2)

start0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated

analyze169.0ms (0.7%)

Memory

4.3MiB live, 159.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 52 to 27 computations (48.1% saved)

sample19.1s (80.6%)

Memory

153.2MiB live, 17 295.2MiB allocated

Samples

13.0s	62 669×	0	invalid
1.5s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 11.1s

ival-mult: 3.5s (31.3% of total)

ival-expm1: 1.5s (13.8% of total)

const: 1.4s (12.6% of total)

ival-<=: 1.3s (11.4% of total)

ival-fabs: 1.1s (10% of total)

ival-div: 771.0ms (6.9% of total)

ival-add: 721.0ms (6.5% of total)

ival-fmin: 526.0ms (4.7% of total)

ival-and: 216.0ms (1.9% of total)

exact: 48.0ms (0.4% of total)

ival-assert: 28.0ms (0.3% of total)

Bogosity

explain245.0ms (1%)

Memory

23.9MiB live, 113.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
234	0	-	4	(-8.2447376851279e-61 4.491683003290605e-72 7.966730421288773e-94)	`(/.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))))`
149	2	(1.2535481385537608e-194 2.3649438090467804e-123 1.176332134784092e-200)	0	-	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`
112	2	(1.2535481385537608e-194 2.3649438090467804e-123 1.176332134784092e-200)	0	-	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`
108	1	(1.0491003295680437e-27 -1.431337414003125e-296 2.435779942802826e-297)	0	-	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`
0	0	-	0	-	`(+.f64 a b)`
0	0	-	0	-	`(*.f64 b eps)`
0	0	-	0	-	`(exp.f64 (*.f64 a eps))`
0	0	-	0	-	`a`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(*.f64 a eps)`
0	0	-	0	-	`(exp.f64 (*.f64 (+.f64 a b) eps))`
0	0	-	0	-	`eps`
0	0	-	0	-	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`
0	0	-	0	-	`(.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))`
0	0	-	0	-	`(*.f64 (+.f64 a b) eps)`
0	0	-	0	-	`(exp.f64 (*.f64 b eps))`
0	0	-	0	-	`b`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`	u/u	207	0
↳	`(.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))`	underflow	207
↳	`(*.f64 (+.f64 a b) eps)`	underflow	105
↳	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`	underflow	105
↳	`(*.f64 b eps)`	underflow	142
↳	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	underflow	147
↳	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	underflow	142
↳	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`	underflow	230
↳	`(*.f64 a eps)`	underflow	147
`-.f64`	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`	cancellation	151	0
`-.f64`	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	cancellation	114	0
`-.f64`	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	cancellation	109	0
`/.f64`	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`	n/u	23	0
↳	`(*.f64 b eps)`	underflow	142
↳	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	underflow	147
↳	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	underflow	142
↳	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`	underflow	230
↳	`(*.f64 a eps)`	underflow	147

Confusion

	Predicted +	Predicted -
+	256	0
-	0	0

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
1	105
3	105
4	46

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

61.0ms

512×

valid

Compiler

Compiled 226 to 55 computations (75.7% saved)

Precisions

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

ival-mult: 15.0ms (37.7% of total)

ival-exp: 10.0ms (25.2% of total)

ival-expm1: 8.0ms (20.1% of total)

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

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

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

exact: 0.0ms (0% of total)

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

preprocess241.0ms (1%)

Memory

-4.3MiB live, 112.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	235
1	272	233
2	679	233
3	2137	229
0	17	24
0	30	24
1	60	24
2	129	24
3	322	24
4	1274	24
0	8643	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

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

0.0%

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

simplify157.0ms (0.7%)

Memory

-7.9MiB live, 151.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
cost-diff	2	(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))
cost-diff	2	(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))
cost-diff	2	(-.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	60	99
2	129	99
3	322	99
4	1274	99
0	8643	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)

localize52.0ms (0.2%)

Memory

-12.5MiB live, 66.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	24.113083605629217	(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))
accuracy	25.16375240813912	(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))
accuracy	33.51058077466983	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))
accuracy	56.10283780533239	(/.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

34.0ms

256×

valid

Compiler

Compiled 101 to 19 computations (81.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-exp: 9.0ms (38.4% of total)

ival-mult: 7.0ms (29.9% of total)

ival-expm1: 4.0ms (17.1% of total)

ival-div: 2.0ms (8.5% of total)

ival-add: 2.0ms (8.5% of total)

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

exact: 0.0ms (0% of total)

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

series46.0ms (0.2%)

Memory

-5.6MiB live, 33.0MiB allocated

Counts

4 → 44

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 (.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))))))))
(/ 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)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(- (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))))))))
(/ 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)) (* (- (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))))))))
(/ (+ 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
27.0ms	eps	@	-inf	((- (exp (* (+ a b) eps)) 1) (- (exp (* a eps)) 1) (- (exp (* b eps)) 1) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))))
4.0ms	eps	@	0	((- (exp (* (+ a b) eps)) 1) (- (exp (* a eps)) 1) (- (exp (* b eps)) 1) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))))
3.0ms	b	@	-inf	((- (exp (* (+ a b) eps)) 1) (- (exp (* a eps)) 1) (- (exp (* b eps)) 1) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))))
2.0ms	a	@	-inf	((- (exp (* (+ a b) eps)) 1) (- (exp (* a eps)) 1) (- (exp (* b eps)) 1) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))))
2.0ms	a	@	0	((- (exp (* (+ a b) eps)) 1) (- (exp (* a eps)) 1) (- (exp (* b eps)) 1) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))))

simplify216.0ms (0.9%)

Memory

-1.0MiB live, 239.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	336	1738
1	1195	1690
2	4974	1618
0	8077	1458

Stop Event

1×	iter limit
1×	node limit

Counts

44 → 44

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

rewrite152.0ms (0.6%)

Memory

13.1MiB live, 242.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	44
0	30	44
1	109	44
2	764	44
0	8183	32

Stop Event

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

Counts

4 → 164

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

eval24.0ms (0.1%)

Memory: 12.3MiB live, 59.8MiB allocated
Compiler: Compiled 9 515 to 1 000 computations (89.5% saved)

prune7.0ms (0%)

Memory

-18.4MiB live, 20.7MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	197	5	202
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	198	5	203

Accuracy

100.0%

Counts

203 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	9.9%	(/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a))))
▶	17.5%	#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)) b) (/.f64 #s(literal 1/2 binary64) a)) (.f64 (.f64 (.f64 (.f64 b a) (+.f64 b a)) #s(literal 1/2 binary64)) (/.f64 (+.f64 b a) (.f64 (.f64 (.f64 b a) a) b)))) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))
▶	99.7%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) b) a))
▶	49.0%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
▶	50.2%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))

Compiler

Compiled 346 to 224 computations (35.3% saved)

simplify156.0ms (0.7%)

Memory

23.2MiB live, 259.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 eps (+.f64 b a))
cost-diff	0	(expm1.f64 (*.f64 eps (+.f64 b a)))
cost-diff	0	(.f64 (expm1.f64 (.f64 eps (+.f64 b a))) eps)
cost-diff	0	(/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a))))
cost-diff	0	(fma.f64 (-.f64 (.f64 (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) b) (/.f64 #s(literal 1/2 binary64) a)) (.f64 (.f64 (.f64 (.f64 b a) (+.f64 b a)) #s(literal 1/2 binary64)) (/.f64 (+.f64 b a) (.f64 (.f64 (.f64 b a) a) b)))) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.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))) (fma.f64 (-.f64 (.f64 (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) b) (/.f64 #s(literal 1/2 binary64) a)) (.f64 (.f64 (.f64 (.f64 b a) (+.f64 b a)) #s(literal 1/2 binary64)) (/.f64 (+.f64 b a) (.f64 (.f64 (.f64 b a) a) b)))) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))
cost-diff	3	(-.f64 (.f64 (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) b) (/.f64 #s(literal 1/2 binary64) a)) (.f64 (.f64 (.f64 (.f64 b a) (+.f64 b a)) #s(literal 1/2 binary64)) (/.f64 (+.f64 b a) (.f64 (.f64 (.f64 b a) a) b))))
cost-diff	8	(.f64 (.f64 (.f64 (.f64 b a) (+.f64 b a)) #s(literal 1/2 binary64)) (/.f64 (+.f64 b a) (.f64 (.f64 (*.f64 b a) a) b)))
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	51	434
0	83	410
1	196	410
2	497	396
3	2708	372
0	8293	369

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

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

localize270.0ms (1.1%)

Memory

-6.2MiB live, 387.6MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(*.f64 eps (+.f64 b a))
accuracy	0.0234375	(.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a)))
accuracy	0.04296875	(.f64 (expm1.f64 (.f64 eps (+.f64 b a))) eps)
accuracy	56.10283780533239	(/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a))))
accuracy	0.3912887695368841	(*.f64 (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) b) (/.f64 #s(literal 1/2 binary64) a))
accuracy	2.914216722927486	(/.f64 (+.f64 b a) (.f64 (.f64 (*.f64 b a) a) b))
accuracy	13.034305007668944	(/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) b)
accuracy	48.783577999085594	(.f64 (.f64 (.f64 (.f64 b a) (+.f64 b a)) #s(literal 1/2 binary64)) (/.f64 (+.f64 b a) (.f64 (.f64 (*.f64 b a) a) b)))
accuracy	0.0	(/.f64 #s(literal 1 binary64) b)
accuracy	32.62049523034442	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
accuracy	0.0	(/.f64 #s(literal 1 binary64) a)
accuracy	31.847336829045855	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
accuracy	0.0	(+.f64 b a)
accuracy	0.0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) b) a))
accuracy	0.03515625	(/.f64 (+.f64 b a) b)
accuracy	0.15625	(/.f64 (/.f64 (+.f64 b a) b) a)

Samples

220.0ms

256×

valid

Compiler

Compiled 396 to 47 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 163.0ms

ival-mult: 61.0ms (37.3% of total)

ival-div: 33.0ms (20.2% of total)

adjust: 33.0ms (20.2% of total)

ival-expm1: 15.0ms (9.2% of total)

ival-add: 11.0ms (6.7% of total)

ival-pow2: 6.0ms (3.7% of total)

ival-sub: 3.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

series36.0ms (0.2%)

Memory

8.9MiB live, 46.1MiB allocated

Counts

20 → 111

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

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	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 a)) 1/2) (/ (+ b a) (* (* (* b a) a) b))) (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ (* (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) eps) (+ (/ 1 b) (/ 1 a))) (/ (* (- (exp (* eps (+ b a))) 1) eps) (* (- (exp (* eps b)) 1) (- (exp (* eps a)) 1))) (* (- (exp (* eps (+ b a))) 1) eps) (- (exp (* eps (+ b a))) 1) (* eps (+ b a)) (/ (pow (+ b a) 2) b) (/ (+ b a) (* (* (* b a) a) b)) (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (- (exp (* eps b)) 1) (- (exp (* eps a)) 1)))
6.0ms	a	@	0	((/ (* 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 a)) 1/2) (/ (+ b a) (* (* (* b a) a) b))) (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ (* (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) eps) (+ (/ 1 b) (/ 1 a))) (/ (* (- (exp (* eps (+ b a))) 1) eps) (* (- (exp (* eps b)) 1) (- (exp (* eps a)) 1))) (* (- (exp (* eps (+ b a))) 1) eps) (- (exp (* eps (+ b a))) 1) (* eps (+ b a)) (/ (pow (+ b a) 2) b) (/ (+ b a) (* (* (* b a) a) b)) (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (- (exp (* eps b)) 1) (- (exp (* eps a)) 1)))
4.0ms	b	@	0	((/ (* 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 a)) 1/2) (/ (+ b a) (* (* (* b a) a) b))) (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ (* (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) eps) (+ (/ 1 b) (/ 1 a))) (/ (* (- (exp (* eps (+ b a))) 1) eps) (* (- (exp (* eps b)) 1) (- (exp (* eps a)) 1))) (* (- (exp (* eps (+ b a))) 1) eps) (- (exp (* eps (+ b a))) 1) (* eps (+ b a)) (/ (pow (+ b a) 2) b) (/ (+ b a) (* (* (* b a) a) b)) (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (- (exp (* eps b)) 1) (- (exp (* eps a)) 1)))
3.0ms	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 a)) 1/2) (/ (+ b a) (* (* (* b a) a) b))) (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ (* (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) eps) (+ (/ 1 b) (/ 1 a))) (/ (* (- (exp (* eps (+ b a))) 1) eps) (* (- (exp (* eps b)) 1) (- (exp (* eps a)) 1))) (* (- (exp (* eps (+ b a))) 1) eps) (- (exp (* eps (+ b a))) 1) (* eps (+ b a)) (/ (pow (+ b a) 2) b) (/ (+ b a) (* (* (* b a) a) b)) (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (- (exp (* eps b)) 1) (- (exp (* eps a)) 1)))
3.0ms	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 a)) 1/2) (/ (+ b a) (* (* (* b a) a) b))) (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ (* (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) eps) (+ (/ 1 b) (/ 1 a))) (/ (* (- (exp (* eps (+ b a))) 1) eps) (* (- (exp (* eps b)) 1) (- (exp (* eps a)) 1))) (* (- (exp (* eps (+ b a))) 1) eps) (- (exp (* eps (+ b a))) 1) (* eps (+ b a)) (/ (pow (+ b a) 2) b) (/ (+ b a) (* (* (* b a) a) b)) (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (- (exp (* eps b)) 1) (- (exp (* eps a)) 1)))

simplify180.0ms (0.8%)

Memory

25.5MiB live, 179.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	490	2749
1	1762	2677
2	7259	2659
0	8160	2373

Stop Event

1×	iter limit
1×	node limit

Counts

111 → 109

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 a))
(/ (+ a (* 1/2 b)) a)
(/ (+ (* 1/2 b) (* a (+ 1 (* 1/2 (/ a b))))) a)
0
(* 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)))
(- (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)
(* b eps)
(+ (* a eps) (* b eps))
(+ b (* 2 a))
(+ b (* a (+ 2 (/ a b))))
(/ 1 (* (pow a 2) b))
(/ (+ (/ 1 b) (/ a (pow b 2))) (pow a 2))
(* a (* eps (- (exp (* b eps)) 1)))
(* a (+ (* 1/2 (* a (* (pow eps 2) (- (exp (* b eps)) 1)))) (* eps (- (exp (* b eps)) 1))))
(* a (+ (* a (+ (* 1/6 (* a (* (pow eps 3) (- (exp (* b eps)) 1)))) (* 1/2 (* (pow eps 2) (- (exp (* b eps)) 1))))) (* eps (- (exp (* b eps)) 1))))
(* a (+ (* a (+ (* 1/2 (* (pow eps 2) (- (exp (* b eps)) 1))) (* a (+ (* 1/24 (* a (* (pow eps 4) (- (exp (* b eps)) 1)))) (* 1/6 (* (pow eps 3) (- (exp (* b eps)) 1))))))) (* 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 (/ a b))
(* a (+ (/ 1 a) (* 1/2 (/ 1 b))))
(* a (+ (* 1/2 (/ b (pow a 2))) (+ (/ 1 a) (* 1/2 (/ 1 b)))))
(* eps (- (exp (* eps (+ a b))) 1))
(- (exp (* eps (+ a b))) 1)
(* a eps)
(* a (+ eps (/ (* b eps) a)))
(/ (pow a 2) b)
(* (pow a 2) (+ (* 2 (/ 1 a)) (/ 1 b)))
(* (pow a 2) (+ (* 2 (/ 1 a)) (+ (/ 1 b) (/ b (pow a 2)))))
(/ 1 (* a (pow b 2)))
(/ (+ (/ 1 (* a b)) (/ 1 (pow b 2))) a)
(* (- (exp (* a eps)) 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 (* a (- (* -1 (/ (+ 1 (* 1/2 (/ b a))) a)) (* 1/2 (/ 1 b)))))
(* eps (- (exp (* eps (- b (* -1 a)))) 1))
(- (exp (* eps (- b (* -1 a)))) 1)
(* -1 (* a (+ (* -1 eps) (* -1 (/ (* b eps) a)))))
(* (pow a 2) (+ (* -1 (/ (- (* -1 (/ b a)) 2) a)) (/ 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)
(/ (+ 1 (/ b a)) b)
(/ (+ a b) b)
(/ (+ b (* 1/2 a)) b)
(/ (+ (* 1/2 a) (* b (+ 1 (* 1/2 (/ b a))))) b)
(* 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)))
(- (exp (* a eps)) 1)
(- (+ (exp (* a eps)) (* b (* eps (exp (* a eps))))) 1)
(- (+ (exp (* a eps)) (* b (+ (* 1/2 (* b (* (pow eps 2) (exp (* a eps))))) (* eps (exp (* a eps)))))) 1)
(- (+ (exp (* a eps)) (* b (+ (* b (+ (* 1/6 (* b (* (pow eps 3) (exp (* a eps))))) (* 1/2 (* (pow eps 2) (exp (* a eps)))))) (* eps (exp (* a eps)))))) 1)
(/ (+ (* 2 (* a b)) (pow a 2)) b)
(/ (+ (* b (+ b (* 2 a))) (pow a 2)) b)
(/ (+ (/ 1 a) (/ b (pow a 2))) (pow b 2))
(* b (* eps (- (exp (* a eps)) 1)))
(* b (+ (* 1/2 (* b (* (pow eps 2) (- (exp (* a eps)) 1)))) (* eps (- (exp (* a eps)) 1))))
(* b (+ (* b (+ (* 1/6 (* b (* (pow eps 3) (- (exp (* a eps)) 1)))) (* 1/2 (* (pow eps 2) (- (exp (* a eps)) 1))))) (* eps (- (exp (* a eps)) 1))))
(* b (+ (* b (+ (* 1/2 (* (pow eps 2) (- (exp (* a eps)) 1))) (* b (+ (* 1/24 (* b (* (pow eps 4) (- (exp (* a eps)) 1)))) (* 1/6 (* (pow eps 3) (- (exp (* a eps)) 1))))))) (* eps (- (exp (* a eps)) 1))))
(* b (+ 1 (/ a b)))
(* b (+ (* 1/2 (/ 1 a)) (/ 1 b)))
(* b (+ (* 1/2 (/ a (pow b 2))) (+ (* 1/2 (/ 1 a)) (/ 1 b))))
(* b (+ eps (/ (* a eps) b)))
(* b (+ 1 (* 2 (/ a b))))
(* b (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(/ (+ (/ 1 (* a b)) (/ 1 (pow a 2))) b)
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ (+ 1 (* 1/2 (/ a b))) b)) (* 1/2 (/ 1 a)))))
(* eps (- (exp (* eps (- a (* -1 b)))) 1))
(- (exp (* eps (- a (* -1 b)))) 1)
(* -1 (* b (+ (* -1 eps) (* -1 (/ (* a eps) b)))))
(* -1 (* b (- (* -2 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ (+ (* 2 a) (/ (pow a 2) b)) 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)))
(* (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)))))))))
(* 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)))))))))
(* a (* b (pow eps 2)))
(* (pow eps 2) (+ (* a b) (* eps (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))))))
(* (pow eps 2) (+ (* a b) (* eps (+ (* 1/2 (* a (pow b 2))) (+ (* 1/2 (* (pow a 2) b)) (* eps (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))))))))
(* (pow eps 2) (+ (* a b) (* eps (+ (* 1/2 (* a (pow b 2))) (+ (* 1/2 (* (pow a 2) b)) (* eps (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (+ (* 1/4 (* (pow a 2) (pow b 2))) (* eps (+ (* 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))))))))))))))))

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

rewrite176.0ms (0.7%)

Memory

-4.1MiB live, 186.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	51	347
0	83	323
1	361	313
2	2442	307
0	9034	307

Stop Event

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

Counts

20 → 531

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

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

eval114.0ms (0.5%)

Memory: 20.6MiB live, 174.5MiB allocated
Compiler: Compiled 53 191 to 4 320 computations (91.9% saved)

prune24.0ms (0.1%)

Memory

-29.1MiB live, 51.4MiB allocated

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	881	5	886
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	884	7	891

Accuracy

100.0%

Counts

891 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 #s(approx (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) #s(literal 0 binary64)) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))
▶	99.7%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) a) b))
▶	99.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a))
▶	62.4%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
▶	24.2%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (fabs.f64 a)))
✓	49.0%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
✓	50.2%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))

Compiler

Compiled 444 to 290 computations (34.7% saved)

simplify130.0ms (0.6%)

Memory

10.0MiB live, 127.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 b a)
cost-diff	0	(/.f64 (+.f64 b a) a)
cost-diff	0	(/.f64 (/.f64 (+.f64 b a) a) b)
cost-diff	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) a) b))
cost-diff	0	(/.f64 a b)
cost-diff	0	(+.f64 (/.f64 a b) #s(literal 1 binary64))
cost-diff	0	(/.f64 (+.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 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a))
cost-diff	0	(*.f64 b a)
cost-diff	0	(+.f64 b a)
cost-diff	0	(/.f64 (+.f64 b a) (*.f64 b a))
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	(fabs.f64 a)
cost-diff	0	(/.f64 #s(literal 1 binary64) (fabs.f64 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) (fabs.f64 a)))
cost-diff	0	(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
cost-diff	0	#s(approx (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) #s(literal 0 binary64))
cost-diff	0	(fma.f64 #s(approx (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) #s(literal 0 binary64)) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.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))) (fma.f64 #s(approx (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) #s(literal 0 binary64)) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	349
0	68	349
1	154	349
2	450	337
3	2515	331
0	8164	298

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

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

localize225.0ms (0.9%)

Memory

10.6MiB live, 276.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 b a)
accuracy	0.0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) a) b))
accuracy	0.03515625	(/.f64 (+.f64 b a) a)
accuracy	0.17578125	(/.f64 (/.f64 (+.f64 b a) a) b)
accuracy	0.0	(/.f64 a b)
accuracy	0.0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a))
accuracy	0.010097509768442016	(+.f64 (/.f64 a b) #s(literal 1 binary64))
accuracy	0.15625	(/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a)
accuracy	0.0	(+.f64 b a)
accuracy	0.0	(*.f64 b a)
accuracy	0.0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
accuracy	24.06822033646893	(/.f64 (+.f64 b a) (*.f64 b a))
accuracy	0.0	(/.f64 #s(literal 1 binary64) (fabs.f64 a))
accuracy	0.0	(fabs.f64 a)
accuracy	48.53852924569937	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (fabs.f64 a)))
accuracy	0.0	(/.f64 #s(literal 1 binary64) a)
accuracy	0.0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 #s(approx (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) #s(literal 0 binary64)) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))
accuracy	0.0	#s(approx (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) #s(literal 0 binary64))
accuracy	0.021816259768442016	(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))

Samples

190.0ms

256×

valid

Compiler

Compiled 274 to 44 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 150.0ms

ival-mult: 46.0ms (30.7% of total)

ival-div: 41.0ms (27.3% of total)

adjust: 29.0ms (19.3% of total)

ival-add: 14.0ms (9.3% of total)

ival-expm1: 10.0ms (6.7% of total)

ival-pow2: 6.0ms (4% of total)

ival-sub: 3.0ms (2% of total)

ival-fabs: 1.0ms (0.7% of total)

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

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

exact: 0.0ms (0% of total)

series30.0ms (0.1%)

Memory

-5.1MiB live, 35.9MiB allocated

Counts

19 → 38

Calls

Call 1

Inputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 #s(approx (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) #s(literal 0 binary64)) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))
(fma.f64 #s(approx (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) #s(literal 0 binary64)) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))
#s(approx (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) #s(literal 0 binary64))
(+.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))) (/.f64 #s(literal 1 binary64) (fabs.f64 a)))
(/.f64 #s(literal 1 binary64) (fabs.f64 a))
(fabs.f64 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)
(*.f64 b a)
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a))
(/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a)
(+.f64 (/.f64 a b) #s(literal 1 binary64))
(/.f64 a b)
#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 (+.f64 b a) a) b)
(/.f64 (+.f64 b a) a)
(/.f64 #s(literal 1 binary64) 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)
0
(/ 1 (fabs a))
(fabs a)
b
(+ a b)
(* a b)
1
(+ 1 (/ a b))
(/ a b)
(/ b a)
(/ (+ a b) a)
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ 1 b)
(+ (/ 1 a) (/ 1 b))
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)))
(* -1 (* a (- (* -1 (/ b a)) 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)
(* b (+ 1 (/ a b)))
(* b (+ (/ 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)))
(/ (+ 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
8.0ms	a	@	inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ (* (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) eps) (+ (/ 1 b) (/ 1 a))) (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) (+ (/ 1 b) (/ 1 a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 (fabs a)) (fabs 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))) (/ (+ (/ a b) 1) a) (+ (/ a b) 1) (/ a b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) a) b) (/ (+ b a) a) (/ 1 a))
7.0ms	b	@	-inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ (* (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) eps) (+ (/ 1 b) (/ 1 a))) (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) (+ (/ 1 b) (/ 1 a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 (fabs a)) (fabs 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))) (/ (+ (/ a b) 1) a) (+ (/ a b) 1) (/ a b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) a) b) (/ (+ b a) a) (/ 1 a))
3.0ms	a	@	-inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ (* (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) eps) (+ (/ 1 b) (/ 1 a))) (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) (+ (/ 1 b) (/ 1 a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 (fabs a)) (fabs 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))) (/ (+ (/ a b) 1) a) (+ (/ a b) 1) (/ a b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) a) b) (/ (+ b a) a) (/ 1 a))
2.0ms	a	@	0	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ (* (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) eps) (+ (/ 1 b) (/ 1 a))) (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) (+ (/ 1 b) (/ 1 a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 (fabs a)) (fabs 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))) (/ (+ (/ a b) 1) a) (+ (/ a b) 1) (/ a b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) a) b) (/ (+ b a) a) (/ 1 a))
2.0ms	b	@	inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ (* (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) eps) (+ (/ 1 b) (/ 1 a))) (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) (+ (/ 1 b) (/ 1 a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 (fabs a)) (fabs 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))) (/ (+ (/ a b) 1) a) (+ (/ a b) 1) (/ a b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) a) b) (/ (+ b a) a) (/ 1 a))

simplify129.0ms (0.5%)

Memory

34.1MiB live, 140.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	221	1325
1	685	1287
2	2628	1279
0	8109	1154

Stop Event

1×	iter limit
1×	node limit

Counts

38 → 36

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

rewrite184.0ms (0.8%)

Memory

-10.7MiB live, 199.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	329
0	68	328
1	296	322
2	2498	314
0	8417	284

Stop Event

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

Counts

19 → 445

Calls

Call 1

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

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

eval39.0ms (0.2%)

Memory: -8.2MiB live, 67.2MiB allocated
Compiler: Compiled 17 555 to 1 289 computations (92.7% saved)

prune7.0ms (0%)

Memory

20.9MiB live, 20.9MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	315	2	317
Fresh	0	0	0
Picked	1	4	5
Done	0	2	2
Total	316	8	324

Accuracy

100.0%

Counts

324 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 #s(approx (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) #s(literal 0 binary64)) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))
▶	99.7%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b))
✓	99.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a))
✓	62.4%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
▶	50.0%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) a) (/.f64 b a)) b))
✓	24.2%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (fabs.f64 a)))
✓	49.0%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
✓	50.2%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))

Compiler

Compiled 286 to 189 computations (33.9% saved)

simplify122.0ms (0.5%)

Memory

-26.6MiB live, 125.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	111
0	30	111
1	66	111
2	140	111
3	335	111
4	1292	111
0	8653	99

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(approx (/ (+ b a) a) (/.f64 b a)) b))
(/.f64 #s(approx (/ (+ b a) a) (/.f64 b a)) b)
#s(approx (/ (+ b a) a) (/.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 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)

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

localize65.0ms (0.3%)

Memory

11.9MiB live, 49.3MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 b a)
accuracy	0.0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b))
accuracy	0.00390625	(+.f64 (/.f64 b a) #s(literal 1 binary64))
accuracy	0.17578125	(/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b)
accuracy	0.0	(/.f64 b a)
accuracy	0.0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) a) (/.f64 b a)) b))
accuracy	0.17578125	(/.f64 #s(approx (/ (+ b a) a) (/.f64 b a)) b)
accuracy	31.685313463062194	#s(approx (/ (+ b a) a) (/.f64 b a))

Samples

33.0ms

256×

valid

Compiler

Compiled 85 to 22 computations (74.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-div: 8.0ms (34.8% of total)

ival-mult: 7.0ms (30.5% of total)

ival-add: 4.0ms (17.4% of total)

ival-expm1: 4.0ms (17.4% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.1%)

Memory

23.1MiB live, 23.1MiB allocated

Counts

7 → 23

Calls

Call 1

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

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

Calls

9 calls:

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

simplify466.0ms (2%)

Memory

-320.0MiB live, 172.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	206	1260
1	635	1222
2	2526	1214
0	9145	1091

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 23

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

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

rewrite190.0ms (0.8%)

Memory

34.0MiB live, 192.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	103
0	30	103
1	143	103
2	1075	103
0	8134	91

Stop Event

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

Counts

7 → 126

Calls

Call 1

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

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

eval21.0ms (0.1%)

Memory: 2.2MiB live, 39.0MiB allocated
Compiler: Compiled 7 535 to 760 computations (89.9% saved)

prune9.0ms (0%)

Memory

-20.0MiB live, 17.1MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	0	0
Picked	0	2	2
Done	0	6	6
Total	153	8	161

Accuracy

100.0%

Counts

161 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 #s(approx (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) #s(literal 0 binary64)) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))
✓	99.7%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b))
✓	99.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a))
✓	62.4%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
✓	50.0%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) a) (/.f64 b a)) b))
✓	24.2%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (fabs.f64 a)))
✓	49.0%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
✓	50.2%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))

Compiler

Compiled 745 to 293 computations (60.7% saved)

regimes19.0ms (0.1%)

Memory

-5.6MiB live, 32.7MiB allocated

Counts

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

Outputs

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

Calls

4 calls:

6.0ms	a
4.0ms	eps
4.0ms	b
3.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))

Results

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

Compiler

Compiled 27 to 26 computations (3.7% saved)

regimes13.0ms (0.1%)

Memory

21.4MiB live, 21.4MiB allocated

Counts

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.8%	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)

regimes12.0ms (0.1%)

Memory

-30.0MiB live, 15.5MiB 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 #s(literal 1 binary64) (fabs.f64 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 #s(approx (/ (+ b a) a) (/.f64 b a)) 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))

#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:

5.0ms	b
2.0ms	eps
2.0ms	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
84.8%	3	`a`
85.5%	3	`b`
70.8%	2	`eps`
62.4%	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)

regimes2.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated

Counts

3 → 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))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
84.0%	2	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes5.0ms (0%)

Memory

8.8MiB live, 8.8MiB 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	b
1.0ms	a
1.0ms	eps
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
50.2%	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))))`
50.2%	1	`eps`
50.2%	1	`a`
50.2%	1	`b`

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch32.0ms (0.1%)

Memory

2.9MiB live, 40.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.8309537841331298e-88	5.628928512630956e-88
17.0ms	2.432428087766571e-195	1.2264008142908675e-188

Samples

20.0ms

224×

valid

Compiler

Compiled 831 to 612 computations (26.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 6.0ms (46.8% of total)

ival-expm1: 3.0ms (23.4% of total)

ival-div: 1.0ms (7.8% of total)

ival-add: 1.0ms (7.8% of total)

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

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

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.432428087766571e-195	1.2264008142908675e-188

Compiler

Compiled 531 to 397 computations (25.2% saved)

simplify46.0ms (0.2%)

Memory

11.2MiB live, 49.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	56	285
1	127	285
2	397	282
3	2440	280

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 #s(approx (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) #s(literal 0 binary64)) 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))) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a))
(if (<=.f64 b #s(literal 3448813850702769/313528531882069915964662425689704934689422834087799421518938595239444503444259215719322355763768461419760165742407930953086580768238532773442734168210737755891992072530296122920016274326105279759841755136 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 1657411109211575/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104 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 3448813850702769/313528531882069915964662425689704934689422834087799421518938595239444503444259215719322355763768461419760165742407930953086580768238532773442734168210737755891992072530296122920016274326105279759841755136 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))) (fma.f64 #s(approx (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) #s(literal 0 binary64)) 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 #s(approx (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) #s(literal 0 binary64)) eps (+.f64 (pow.f64 b #s(literal -1 binary64)) (pow.f64 a #s(literal -1 binary64)))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a))
(if (<=.f64 b #s(literal 3448813850702769/313528531882069915964662425689704934689422834087799421518938595239444503444259215719322355763768461419760165742407930953086580768238532773442734168210737755891992072530296122920016274326105279759841755136 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 1657411109211575/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104 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 3448813850702769/313528531882069915964662425689704934689422834087799421518938595239444503444259215719322355763768461419760165742407930953086580768238532773442734168210737755891992072530296122920016274326105279759841755136 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (pow.f64 b #s(literal -1 binary64))) (if (<=.f64 b #s(literal 1657411109211575/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (pow.f64 a #s(literal -1 binary64))) #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 3448813850702769/313528531882069915964662425689704934689422834087799421518938595239444503444259215719322355763768461419760165742407930953086580768238532773442734168210737755891992072530296122920016274326105279759841755136 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)))
(if (<=.f64 b #s(literal 3448813850702769/313528531882069915964662425689704934689422834087799421518938595239444503444259215719322355763768461419760165742407930953086580768238532773442734168210737755891992072530296122920016274326105279759841755136 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (pow.f64 b #s(literal -1 binary64))) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (pow.f64 a #s(literal -1 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))) (pow.f64 a #s(literal -1 binary64)))

soundness525.0ms (2.2%)

Memory

23.5MiB live, 409.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	336	1738
1	1195	1690
2	4974	1618
0	8077	1458
0	490	2749
1	1762	2677
2	7259	2659
0	8160	2373
0	51	347
0	83	323
1	361	313
2	2442	307
0	9034	307

Stop Event

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

Compiler

Compiled 413 to 161 computations (61% saved)

preprocess41.0ms (0.2%)

Memory: 2.1MiB live, 76.4MiB allocated
Remove: (sort a b)
Compiler: Compiled 1 046 to 404 computations (61.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze169.0ms (0.7%)

sample19.1s (80.6%)

explain245.0ms (1%)

preprocess241.0ms (1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify157.0ms (0.7%)

localize52.0ms (0.2%)

series46.0ms (0.2%)

simplify216.0ms (0.9%)

rewrite152.0ms (0.6%)

eval24.0ms (0.1%)

prune7.0ms (0%)

simplify156.0ms (0.7%)

localize270.0ms (1.1%)

series36.0ms (0.2%)

simplify180.0ms (0.8%)

rewrite176.0ms (0.7%)

eval114.0ms (0.5%)

prune24.0ms (0.1%)

simplify130.0ms (0.6%)

localize225.0ms (0.9%)

series30.0ms (0.1%)

simplify129.0ms (0.5%)

rewrite184.0ms (0.8%)

eval39.0ms (0.2%)

prune7.0ms (0%)

simplify122.0ms (0.5%)

localize65.0ms (0.3%)

series12.0ms (0.1%)

simplify466.0ms (2%)

rewrite190.0ms (0.8%)

eval21.0ms (0.1%)

prune9.0ms (0%)

regimes19.0ms (0.1%)

regimes13.0ms (0.1%)

regimes12.0ms (0.1%)

regimes2.0ms (0%)

regimes5.0ms (0%)

bsearch32.0ms (0.1%)

bsearch1.0ms (0%)

simplify46.0ms (0.2%)

soundness525.0ms (2.2%)

preprocess41.0ms (0.2%)

end0.0ms (0%)

Profiling