Metrics for expq3 (problem 3.4.2)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze166.0ms (0.7%)

Memory

-25.8MiB live, 205.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 52 to 27 computations (48.1% saved)

sample20.8s (81.5%)

Memory

208.1MiB live, 17 338.6MiB allocated

Samples

13.4s	62 647×	0	invalid
1.7s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 11.4s

ival-mult: 3.9s (34.3% of total)

ival-expm1: 1.5s (12.8% of total)

const: 1.5s (12.8% of total)

ival-fabs: 1.2s (10.2% of total)

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

ival-add: 846.0ms (7.4% of total)

ival-div: 680.0ms (6% of total)

ival-fmin: 466.0ms (4.1% of total)

ival-and: 209.0ms (1.8% of total)

exact: 48.0ms (0.4% of total)

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

Bogosity

explain276.0ms (1.1%)

Memory

-6.3MiB live, 349.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
236	0	-	5	(-2.8216508942326126e-42 6.0164483805458885e-81 5.680027227574028e-101)	`(/.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))))`
151	2	(3.998826319327729e-193 -1.416531628992905e-117 1.242934787504415e-206)	0	-	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`
115	1	(-6.87387849736533e-66 -4.012042847537581e-257 4.360846642236411e-259)	0	-	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`
107	1	(3.998826319327729e-193 -1.416531628992905e-117 1.242934787504415e-206)	0	-	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`
0	0	-	0	-	`(+.f64 a b)`
0	0	-	0	-	`(*.f64 b eps)`
0	0	-	0	-	`(exp.f64 (*.f64 a eps))`
0	0	-	0	-	`a`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(*.f64 a eps)`
0	0	-	0	-	`(exp.f64 (*.f64 (+.f64 a b) eps))`
0	0	-	0	-	`eps`
0	0	-	0	-	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`
0	0	-	0	-	`(.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))`
0	0	-	0	-	`(*.f64 (+.f64 a b) eps)`
0	0	-	0	-	`(exp.f64 (*.f64 b eps))`
0	0	-	0	-	`b`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`	u/u	208	0
↳	`(.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))`	underflow	208
↳	`(*.f64 (+.f64 a b) eps)`	underflow	103
↳	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`	underflow	103
↳	`(*.f64 b eps)`	underflow	148
↳	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	underflow	140
↳	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	underflow	148
↳	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`	underflow	231
↳	`(*.f64 a eps)`	underflow	140
`-.f64`	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`	cancellation	153	0
`-.f64`	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	cancellation	116	0
`-.f64`	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	cancellation	108	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	148
↳	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	underflow	140
↳	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	underflow	148
↳	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`	underflow	231
↳	`(*.f64 a eps)`	underflow	140

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	103
3	107
4	46

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

70.0ms

512×

valid

Compiler

Compiled 325 to 72 computations (77.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 24.0ms (48.8% of total)

ival-exp: 10.0ms (20.3% of total)

ival-expm1: 8.0ms (16.3% of total)

ival-div: 3.0ms (6.1% of total)

ival-add: 3.0ms (6.1% of total)

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

exact: 0.0ms (0% of total)

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

preprocess187.0ms (0.7%)

Memory

24.7MiB live, 179.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	233
1	250	229
2	708	227
3	2169	224
4	7220	224
0	17	24
0	30	24
1	56	24
2	109	24
3	176	24
4	327	24
5	656	24
6	1292	24
7	3499	24
8	6201	24
9	7551	24
10	7852	24
11	7935	24
12	7965	24
0	8094	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

0.8MiB live, 0.8MiB 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)

simplify153.0ms (0.6%)

Memory

-22.8MiB live, 62.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	99
0	30	99
1	56	99
2	109	99
3	176	99
4	327	99
5	656	99
6	1292	99
7	3499	99
8	6201	99
9	7551	99
10	7852	99
11	7935	99
12	7965	99
0	8094	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)

localize48.0ms (0.2%)

Memory

-4.0MiB live, 68.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	22.273053292779448	(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))
accuracy	26.650437545284294	(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))
accuracy	32.716548901561445	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))
accuracy	56.468172642957974	(/.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 200 to 36 computations (82% saved)

Precisions

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

ival-mult: 7.0ms (35.7% of total)

ival-exp: 5.0ms (25.5% of total)

ival-expm1: 4.0ms (20.4% of total)

ival-div: 2.0ms (10.2% of total)

ival-add: 2.0ms (10.2% of total)

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

exact: 0.0ms (0% of total)

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

series38.0ms (0.1%)

Memory

-3.2MiB live, 42.5MiB allocated

Counts

5 → 59

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
18.0ms	eps	@	-inf	((- (exp (* (+ a b) eps)) 1) (- (exp (* a eps)) 1) (- (exp (* b eps)) 1) (* eps (- (exp (* (+ a b) eps)) 1)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))))
4.0ms	eps	@	0	((- (exp (* (+ a b) eps)) 1) (- (exp (* a eps)) 1) (- (exp (* b eps)) 1) (* eps (- (exp (* (+ a b) eps)) 1)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))))
3.0ms	b	@	-inf	((- (exp (* (+ a b) eps)) 1) (- (exp (* a eps)) 1) (- (exp (* b eps)) 1) (* eps (- (exp (* (+ a b) eps)) 1)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))))
2.0ms	a	@	0	((- (exp (* (+ a b) eps)) 1) (- (exp (* a eps)) 1) (- (exp (* b eps)) 1) (* eps (- (exp (* (+ a b) eps)) 1)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))))
2.0ms	a	@	-inf	((- (exp (* (+ a b) eps)) 1) (- (exp (* a eps)) 1) (- (exp (* b eps)) 1) (* eps (- (exp (* (+ a b) eps)) 1)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))))

simplify153.0ms (0.6%)

Memory

37.9MiB live, 146.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	370	2068
1	1205	2020
2	3842	1940
0	8010	1739

Stop Event

1×	iter limit
1×	node limit

Counts

59 → 59

Calls

Call 1

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

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

rewrite184.0ms (0.7%)

Memory

-47.7MiB live, 211.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	54
0	30	54
1	108	54
2	766	54
0	8509	40

Stop Event

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

Counts

5 → 416

Calls

Call 1

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

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

eval50.0ms (0.2%)

Memory: 21.8MiB live, 58.2MiB allocated
Compiler: Compiled 18 248 to 1 804 computations (90.1% saved)

prune39.0ms (0.2%)

Memory

-11.3MiB live, 27.1MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

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

Accuracy

100.0%

Counts

468 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	35.5%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a)) (.f64 (/.f64 (.f64 (+.f64 b a) #s(literal 1/2 binary64)) (.f64 (.f64 b a) a)) (/.f64 (.f64 (*.f64 b a) (+.f64 b a)) b))) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))
▶	46.5%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.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))
▶	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))
▶	51.1%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
▶	48.7%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))

Compiler

Compiled 396 to 256 computations (35.4% saved)

simplify121.0ms (0.5%)

Memory

26.6MiB live, 140.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (.f64 eps a)))))
cost-diff	0	(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))
cost-diff	0	(/.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)
cost-diff	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.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))
cost-diff	0	(fma.f64 (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a)) (.f64 (/.f64 (.f64 (+.f64 b a) #s(literal 1/2 binary64)) (.f64 (.f64 b a) a)) (/.f64 (.f64 (*.f64 b a) (+.f64 b 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 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a)) (.f64 (/.f64 (.f64 (+.f64 b a) #s(literal 1/2 binary64)) (.f64 (.f64 b a) a)) (/.f64 (.f64 (*.f64 b a) (+.f64 b a)) b))) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))
cost-diff	1024	(/.f64 (.f64 (.f64 b a) (+.f64 b a)) b)
cost-diff	14144	(-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a)) (.f64 (/.f64 (.f64 (+.f64 b a) #s(literal 1/2 binary64)) (.f64 (.f64 b a) a)) (/.f64 (.f64 (*.f64 b a) (+.f64 b 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	53	494
0	84	474
1	170	474
2	446	468
3	2162	430
4	6233	422
0	8516	402

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

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

localize325.0ms (1.3%)

Memory

-16.4MiB live, 456.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.09765625	(/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 eps a)))
accuracy	0.11947250976844201	(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))
accuracy	0.12890625	(/.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)
accuracy	34.048234588455486	(.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (.f64 eps a)))))
accuracy	6.91677037675033	(/.f64 (.f64 (+.f64 b a) #s(literal 1/2 binary64)) (.f64 (*.f64 b a) a))
accuracy	10.423622532319001	(/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a)
accuracy	16.32086680326525	(/.f64 (.f64 (.f64 b a) (+.f64 b a)) b)
accuracy	33.930873914321666	(.f64 (/.f64 (.f64 (+.f64 b a) #s(literal 1/2 binary64)) (.f64 (.f64 b a) a)) (/.f64 (.f64 (.f64 b a) (+.f64 b a)) b))
accuracy	0.0	(/.f64 #s(literal 1 binary64) b)
accuracy	31.322127217536263	#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	32.82348799781818	#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	0.01171875	(/.f64 (+.f64 b a) b)
accuracy	0.16015625	(/.f64 (/.f64 (+.f64 b a) b) a)

Samples

276.0ms

256×

valid

Compiler

Compiled 927 to 103 computations (88.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 195.0ms

ival-div: 56.0ms (28.7% of total)

adjust: 52.0ms (26.6% of total)

ival-mult: 45.0ms (23% of total)

ival-add: 15.0ms (7.7% of total)

ival-expm1: 11.0ms (5.6% of total)

ival-pow2: 6.0ms (3.1% of total)

ival-pow: 4.0ms (2% of total)

ival-sub: 3.0ms (1.5% of total)

ival-exp: 2.0ms (1% of total)

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

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

exact: 0.0ms (0% of total)

series248.0ms (1%)

Memory

2.9MiB live, 192.5MiB allocated

Counts

20 → 106

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

Calls

9 calls:

Time	Variable		Point	Expression
106.0ms	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) (- (* (/ 1/2 b) (/ (pow (+ b a) 2) a)) (* (/ (* (+ b a) 1/2) (* (* b a) a)) (/ (* (* b a) (+ b a)) b))) (/ (* (* b a) (+ b a)) b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ (* (- (* (/ 1/2 b) (/ (pow (+ b a) 2) a)) (* (/ (* (+ b a) 1/2) (* (* b a) a)) (/ (* (* b a) (+ b a)) b))) eps) (+ (/ 1 b) (/ 1 a))) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) b) (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (* (/ (* (+ b a) 1/2) (* (* b a) a)) (/ (* (* b a) (+ b a)) b)) (/ (pow (+ b a) 2) a) (/ (* (+ b a) 1/2) (* (* b a) a)) (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))
78.0ms	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) (- (* (/ 1/2 b) (/ (pow (+ b a) 2) a)) (* (/ (* (+ b a) 1/2) (* (* b a) a)) (/ (* (* b a) (+ b a)) b))) (/ (* (* b a) (+ b a)) b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ (* (- (* (/ 1/2 b) (/ (pow (+ b a) 2) a)) (* (/ (* (+ b a) 1/2) (* (* b a) a)) (/ (* (* b a) (+ b a)) b))) eps) (+ (/ 1 b) (/ 1 a))) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) b) (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (* (/ (* (+ b a) 1/2) (* (* b a) a)) (/ (* (* b a) (+ b a)) b)) (/ (pow (+ b a) 2) a) (/ (* (+ b a) 1/2) (* (* b a) a)) (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))
18.0ms	a	@	-inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (+ b a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 b) (- (* (/ 1/2 b) (/ (pow (+ b a) 2) a)) (* (/ (* (+ b a) 1/2) (* (* b a) a)) (/ (* (* b a) (+ b a)) b))) (/ (* (* b a) (+ b a)) b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ (* (- (* (/ 1/2 b) (/ (pow (+ b a) 2) a)) (* (/ (* (+ b a) 1/2) (* (* b a) a)) (/ (* (* b a) (+ b a)) b))) eps) (+ (/ 1 b) (/ 1 a))) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) b) (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (* (/ (* (+ b a) 1/2) (* (* b a) a)) (/ (* (* b a) (+ b a)) b)) (/ (pow (+ b a) 2) a) (/ (* (+ b a) 1/2) (* (* b a) a)) (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))
8.0ms	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) (- (* (/ 1/2 b) (/ (pow (+ b a) 2) a)) (* (/ (* (+ b a) 1/2) (* (* b a) a)) (/ (* (* b a) (+ b a)) b))) (/ (* (* b a) (+ b a)) b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ (* (- (* (/ 1/2 b) (/ (pow (+ b a) 2) a)) (* (/ (* (+ b a) 1/2) (* (* b a) a)) (/ (* (* b a) (+ b a)) b))) eps) (+ (/ 1 b) (/ 1 a))) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) b) (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (* (/ (* (+ b a) 1/2) (* (* b a) a)) (/ (* (* b a) (+ b a)) b)) (/ (pow (+ b a) 2) a) (/ (* (+ b a) 1/2) (* (* b a) a)) (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))
6.0ms	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) (- (* (/ 1/2 b) (/ (pow (+ b a) 2) a)) (* (/ (* (+ b a) 1/2) (* (* b a) a)) (/ (* (* b a) (+ b a)) b))) (/ (* (* b a) (+ b a)) b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ (* (- (* (/ 1/2 b) (/ (pow (+ b a) 2) a)) (* (/ (* (+ b a) 1/2) (* (* b a) a)) (/ (* (* b a) (+ b a)) b))) eps) (+ (/ 1 b) (/ 1 a))) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) b) (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (* (/ (* (+ b a) 1/2) (* (* b a) a)) (/ (* (* b a) (+ b a)) b)) (/ (pow (+ b a) 2) a) (/ (* (+ b a) 1/2) (* (* b a) a)) (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))

simplify210.0ms (0.8%)

Memory

14.4MiB live, 222.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	499	2970
1	1470	2637
2	4736	2409
0	8249	2174

Stop Event

1×	iter limit
1×	node limit

Counts

106 → 104

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)
0
(* a b)
(* a (+ a b))
(/ (+ 1 (* a (+ (* a (* eps (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps))))) (/ 1 b)))) a)
(/ (+ 1 (* a (+ (* a (+ (* a (* eps (- (* 1/6 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (+ (* 1/12 (pow eps 2)) (* 1/2 (* eps (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps)))))))))) (* eps (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps)))))) (/ 1 b)))) a)
(/ b a)
(/ (+ a b) a)
(/ (+ b (* a (+ 1 (* a (* b (* eps (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps))))))))) a)
(/ (+ b (* a (+ 1 (* a (+ (* a (* b (* eps (- (* 1/6 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (+ (* 1/12 (pow eps 2)) (* 1/2 (* eps (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps))))))))))) (* b (* eps (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps)))))))))) a)
(/ (+ 1 (* (pow a 2) (* eps (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps)))))) a)
(/ (+ 1 (* (pow a 2) (+ (* a (* eps (- (* 1/6 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (+ (* 1/12 (pow eps 2)) (* 1/2 (* eps (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps)))))))))) (* eps (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps))))))) a)
(/ (+ 1 (* (pow a 2) (+ (* a (+ (* a (* eps (- (* 1/24 (pow eps 3)) (+ (* 1/120 (pow eps 3)) (+ (* 1/48 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps))))) (* 1/2 (* eps (- (* 1/6 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (+ (* 1/12 (pow eps 2)) (* 1/2 (* eps (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps)))))))))))))))) (* eps (- (* 1/6 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (+ (* 1/12 (pow eps 2)) (* 1/2 (* eps (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps))))))))))) (* eps (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps))))))) a)
(* 1/2 (/ b a))
(/ (+ a (* 1/2 b)) a)
(/ (+ (* 1/2 b) (* a (+ 1 (* 1/2 (/ a b))))) a)
(/ (pow b 2) a)
(/ (+ (* 2 (* a b)) (pow b 2)) a)
(/ (+ (* a (+ a (* 2 b))) (pow b 2)) a)
(/ 1/2 (pow a 2))
(/ (+ 1/2 (* 1/2 (/ a b))) (pow a 2))
(/ 1 (* a eps))
(/ (+ (* 1/2 a) (/ 1 eps)) a)
(/ (+ (* a (+ 1/2 (* a (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps)))))) (/ 1 eps)) a)
(/ (+ (* a (+ 1/2 (* a (- (+ (* 1/2 eps) (* a (- (* 1/6 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (+ (* 1/12 (pow eps 2)) (* 1/2 (* eps (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps)))))))))) (+ (* 1/6 eps) (* 1/4 eps)))))) (/ 1 eps)) a)
(/ (* 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)))
(pow a 2)
(* (pow a 2) (+ 1 (/ b a)))
(/ (+ 1 (* b (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)))) b)
(+ 1 (* b (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))))
(* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))
(* 1/2 (/ a b))
(* a (+ (/ 1 a) (* 1/2 (/ 1 b))))
(* a (+ (* 1/2 (/ b (pow a 2))) (+ (/ 1 a) (* 1/2 (/ 1 b)))))
(* a (+ 1 (* 2 (/ b a))))
(* a (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(/ 1/2 (* a b))
(/ (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) a)
(/ (exp (* a eps)) (- (exp (* a 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)))))
(* -1 (* a (- (* -2 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ (+ (* 2 b) (/ (pow b 2) a)) 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)
(+ (* a b) (pow a 2))
(/ (+ b (* 1/2 a)) b)
(/ (+ (* 1/2 a) (* b (+ 1 (* 1/2 (/ b a))))) b)
(+ a (* 2 b))
(+ a (* b (+ 2 (/ b a))))
(/ (+ (* 1/2 (/ b (pow a 2))) (* 1/2 (/ 1 a))) b)
(* b (+ 1 (/ a b)))
(* b (+ a (/ (pow a 2) b)))
(+ (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) (/ 1 b))
(* b (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)))
(* b (+ (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) (/ 1 b)))
(* b (+ (* 1/2 (/ 1 a)) (/ 1 b)))
(* b (+ (* 1/2 (/ a (pow b 2))) (+ (* 1/2 (/ 1 a)) (/ 1 b))))
(* (pow b 2) (+ (/ 1 a) (* 2 (/ 1 b))))
(* (pow b 2) (+ (/ 1 a) (+ (* 2 (/ 1 b)) (/ a (pow b 2)))))
(+ (* 1/2 (/ 1 (* a b))) (* 1/2 (/ 1 (pow a 2))))
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))
(* -1 (* b (- (* -1 (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))) (/ 1 b))))
(* -1 (* b (- (* -1 (/ (+ 1 (* 1/2 (/ a b))) b)) (* 1/2 (/ 1 a)))))
(* (pow b 2) (+ (* -1 (/ (- (* -1 (/ a b)) 2) b)) (/ 1 a)))
(/ (+ 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) (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))) (+ (/ 1 a) (/ 1 b)))
(+ (* (pow eps 2) (- (+ (* 1/2 a) (* eps (- (* 1/6 (pow a 2)) (+ (* 1/24 (pow a 2)) (+ (* 1/12 (pow a 2)) (* 1/2 (* a (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))))))))) (+ (* 1/6 a) (* 1/4 a)))) (+ (/ 1 a) (/ 1 b)))
(+ (* (pow eps 2) (- (+ (* 1/2 a) (* eps (- (+ (* 1/6 (pow a 2)) (* eps (- (* 1/24 (pow a 3)) (+ (* 1/120 (pow a 3)) (+ (* 1/48 (pow a 3)) (+ (* 1/6 (* (pow a 2) (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a))))) (* 1/2 (* a (- (* 1/6 (pow a 2)) (+ (* 1/24 (pow a 2)) (+ (* 1/12 (pow a 2)) (* 1/2 (* a (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))))))))))))))) (+ (* 1/24 (pow a 2)) (+ (* 1/12 (pow a 2)) (* 1/2 (* a (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))))))))) (+ (* 1/6 a) (* 1/4 a)))) (+ (/ 1 a) (/ 1 b)))
(+ 1 (/ b a))
(+ 1 (+ (* b (* (pow eps 2) (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a))))) (/ b a)))
(+ 1 (+ (* (pow eps 2) (+ (* b (* eps (- (* 1/6 (pow a 2)) (+ (* 1/24 (pow a 2)) (+ (* 1/12 (pow a 2)) (* 1/2 (* a (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))))))))) (* b (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))))) (/ b a)))
(+ 1 (+ (* (pow eps 2) (+ (* b (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))) (* eps (+ (* b (* eps (- (* 1/24 (pow a 3)) (+ (* 1/120 (pow a 3)) (+ (* 1/48 (pow a 3)) (+ (* 1/6 (* (pow a 2) (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a))))) (* 1/2 (* a (- (* 1/6 (pow a 2)) (+ (* 1/24 (pow a 2)) (+ (* 1/12 (pow a 2)) (* 1/2 (* a (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))))))))))))))) (* b (- (* 1/6 (pow a 2)) (+ (* 1/24 (pow a 2)) (+ (* 1/12 (pow a 2)) (* 1/2 (* a (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a))))))))))))) (/ b a)))
(+ (* (pow eps 2) (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))) (/ 1 a))
(+ (* (pow eps 2) (- (+ (* 1/2 a) (* eps (- (* 1/6 (pow a 2)) (+ (* 1/24 (pow a 2)) (+ (* 1/12 (pow a 2)) (* 1/2 (* a (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))))))))) (+ (* 1/6 a) (* 1/4 a)))) (/ 1 a))
(+ (* (pow eps 2) (- (+ (* 1/2 a) (* eps (- (+ (* 1/6 (pow a 2)) (* eps (- (* 1/24 (pow a 3)) (+ (* 1/120 (pow a 3)) (+ (* 1/48 (pow a 3)) (+ (* 1/6 (* (pow a 2) (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a))))) (* 1/2 (* a (- (* 1/6 (pow a 2)) (+ (* 1/24 (pow a 2)) (+ (* 1/12 (pow a 2)) (* 1/2 (* a (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))))))))))))))) (+ (* 1/24 (pow a 2)) (+ (* 1/12 (pow a 2)) (* 1/2 (* a (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))))))))) (+ (* 1/6 a) (* 1/4 a)))) (/ 1 a))
(/ (+ (* 1/2 eps) (/ 1 a)) eps)
(/ (+ (* eps (+ 1/2 (* eps (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))))) (/ 1 a)) eps)
(/ (+ (* eps (+ 1/2 (* eps (- (+ (* 1/2 a) (* eps (- (* 1/6 (pow a 2)) (+ (* 1/24 (pow a 2)) (+ (* 1/12 (pow a 2)) (* 1/2 (* a (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))))))))) (+ (* 1/6 a) (* 1/4 a)))))) (/ 1 a)) eps)
(* eps (- (+ (/ 1 (* b eps)) (/ (exp (* a eps)) (- (exp (* a eps)) 1))) 1/2))
(* eps (+ (* b (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) (/ 1 eps)))
(* -1 (* eps (- (* -1 (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) (/ 1 (* b eps)))))
(* -1 (* eps (- (* -1 (* b (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))) (/ 1 eps))))

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

rewrite295.0ms (1.2%)

Memory

24.1MiB live, 247.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	398
0	84	388
1	380	374
2	3540	366
0	9303	342

Stop Event

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

Counts

20 → 743

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

eval169.0ms (0.7%)

Memory: 7.9MiB live, 247.6MiB allocated
Compiler: Compiled 65 445 to 5 079 computations (92.2% saved)

prune22.0ms (0.1%)

Memory

-9.9MiB live, 64.1MiB allocated

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	1 021	3	1 024
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	1 023	6	1 029

Accuracy

100.0%

Counts

1 029 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	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))
▶	64.0%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
▶	50.9%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a))
▶	99.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) (+.f64 (/.f64 b a) #s(literal 1 binary64))) b))
✓	51.1%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
✓	48.7%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))

Compiler

Compiled 208 to 139 computations (33.2% saved)

simplify142.0ms (0.6%)

Memory

3.3MiB live, 131.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	-384	(/.f64 (+.f64 b a) (*.f64 b a))
cost-diff	0	(*.f64 b a)
cost-diff	0	(+.f64 b a)
cost-diff	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
cost-diff	0	(/.f64 a b)
cost-diff	0	#s(approx (/ (+ b a) b) (/.f64 a b))
cost-diff	0	(/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a)
cost-diff	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a))
cost-diff	0	(+.f64 (/.f64 b a) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) (+.f64 (/.f64 b a) #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(approx (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) (+.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 #s(approx (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) (+.f64 (/.f64 b a) #s(literal 1 binary64))) b))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	223
0	51	223
1	94	223
2	174	223
3	282	223
4	457	223
5	798	223
6	1432	223
7	3811	223
8	6739	223
0	8127	196

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

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

localize88.0ms (0.3%)

Memory

-24.1MiB live, 98.0MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
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	23.010128278877666	(/.f64 (+.f64 b a) (*.f64 b a))
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 #s(approx (/ (+ b a) b) (/.f64 a b)) a))
accuracy	0.16015625	(/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a)
accuracy	31.130618029171295	#s(approx (/ (+ b a) b) (/.f64 a b))
accuracy	0.0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) (+.f64 (/.f64 b a) #s(literal 1 binary64))) b))
accuracy	0.0	#s(approx (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) (+.f64 (/.f64 b a) #s(literal 1 binary64)))
accuracy	0.010097509768442016	(+.f64 (/.f64 b a) #s(literal 1 binary64))
accuracy	0.12890625	(/.f64 #s(approx (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) (+.f64 (/.f64 b a) #s(literal 1 binary64))) b)

Samples

57.0ms

256×

valid

Compiler

Compiled 380 to 79 computations (79.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-mult: 14.0ms (32.1% of total)

ival-div: 12.0ms (27.5% of total)

ival-expm1: 7.0ms (16.1% of total)

ival-add: 6.0ms (13.8% of total)

ival-exp: 2.0ms (4.6% of total)

ival-pow: 2.0ms (4.6% of total)

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

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

exact: 0.0ms (0% of total)

series48.0ms (0.2%)

Memory

22.0MiB live, 59.6MiB allocated

Counts

12 → 56

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
13.0ms	b	@	inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) b) (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) (+ (/ b a) 1) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (/ a b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ b a) (* b a) (/ (+ b a) (* b a)))
10.0ms	a	@	-inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) b) (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) (+ (/ b a) 1) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (/ a b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ b a) (* b a) (/ (+ b a) (* b a)))
9.0ms	a	@	inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) b) (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) (+ (/ b a) 1) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (/ a b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ b a) (* b a) (/ (+ b a) (* b a)))
5.0ms	b	@	-inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) b) (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) (+ (/ b a) 1) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (/ a b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ b a) (* b a) (/ (+ b a) (* b a)))
3.0ms	b	@	0	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) b) (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) (+ (/ b a) 1) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (/ a b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ b a) (* b a) (/ (+ b a) (* b a)))

simplify174.0ms (0.7%)

Memory

6.9MiB live, 159.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	342	2059
1	1008	1879
2	3449	1731
0	8368	1554

Stop Event

1×	iter limit
1×	node limit

Counts

56 → 54

Calls

Call 1

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

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

rewrite157.0ms (0.6%)

Memory

-11.5MiB live, 215.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	213
0	51	213
1	249	213
2	1822	207
0	8982	183

Stop Event

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

Counts

12 → 236

Calls

Call 1

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

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

eval123.0ms (0.5%)

Memory: -25.4MiB live, 116.2MiB allocated
Compiler: Compiled 13 713 to 1 196 computations (91.3% saved)

prune7.0ms (0%)

Memory

20.3MiB live, 20.3MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	278	1	279
Fresh	0	0	0
Picked	0	3	3
Done	0	3	3
Total	278	7	285

Accuracy

100.0%

Counts

285 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	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))
✓	64.0%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
✓	50.9%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a))
▶	77.3%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) (/.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 b (/.f64 b a)) b) a)))) b))
✓	99.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) (+.f64 (/.f64 b a) #s(literal 1 binary64))) b))
✓	51.1%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
✓	48.7%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))

Compiler

Compiled 274 to 181 computations (33.9% saved)

simplify129.0ms (0.5%)

Memory

-4.3MiB live, 148.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	219
0	51	219
1	99	219
2	189	219
3	319	219
4	544	219
5	958	219
6	1745	219
7	4563	219
8	6679	219
9	7907	219
0	8051	199

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

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

localize133.0ms (0.5%)

Memory

3.3MiB live, 91.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.12890625	(/.f64 #s(approx (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) (/.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 b (/.f64 b a)) b) a)))) b)
accuracy	0.23046875	(*.f64 b (/.f64 b a))
accuracy	0.3832589356003984	(pow.f64 (/.f64 a b) #s(literal -3 binary64))
accuracy	14.274845052847787	(/.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 b (/.f64 b a)) b) a)))

Samples

61.0ms

256×

valid

Compiler

Compiled 358 to 79 computations (77.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-mult: 13.0ms (29.2% of total)

ival-div: 11.0ms (24.7% of total)

ival-add: 6.0ms (13.5% of total)

ival-pow: 6.0ms (13.5% of total)

ival-expm1: 5.0ms (11.2% of total)

ival-exp: 2.0ms (4.5% of total)

ival-sub: 1.0ms (2.2% of total)

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

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

exact: 0.0ms (0% of total)

series73.0ms (0.3%)

Memory

21.0MiB live, 124.5MiB allocated

Counts

7 → 63

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
31.0ms	a	@	inf	((+ 1 (/ (- (* b (/ b a)) b) a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) b) (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) (/ (+ (pow (/ a b) -3) 1) (+ 1 (/ (- (* b (/ b a)) b) a))) (pow (/ a b) -3) (* b (/ b a)))
14.0ms	a	@	-inf	((+ 1 (/ (- (* b (/ b a)) b) a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) b) (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) (/ (+ (pow (/ a b) -3) 1) (+ 1 (/ (- (* b (/ b a)) b) a))) (pow (/ a b) -3) (* b (/ b a)))
9.0ms	b	@	inf	((+ 1 (/ (- (* b (/ b a)) b) a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) b) (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) (/ (+ (pow (/ a b) -3) 1) (+ 1 (/ (- (* b (/ b a)) b) a))) (pow (/ a b) -3) (* b (/ b a)))
6.0ms	b	@	-inf	((+ 1 (/ (- (* b (/ b a)) b) a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) b) (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) (/ (+ (pow (/ a b) -3) 1) (+ 1 (/ (- (* b (/ b a)) b) a))) (pow (/ a b) -3) (* b (/ b a)))
4.0ms	b	@	0	((+ 1 (/ (- (* b (/ b a)) b) a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) b) (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) (/ (+ (pow (/ a b) -3) 1) (+ 1 (/ (- (* b (/ b a)) b) a))) (pow (/ a b) -3) (* b (/ b a)))

simplify162.0ms (0.6%)

Memory

-16.6MiB live, 197.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	427	2185
1	1275	1997
2	4470	1842
0	8076	1666

Stop Event

1×	iter limit
1×	node limit

Counts

63 → 63

Calls

Call 1

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

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

rewrite196.0ms (0.8%)

Memory

-6.2MiB live, 185.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	186
0	51	186
1	268	186
2	2044	180
0	8545	168

Stop Event

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

Counts

7 → 151

Calls

Call 1

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

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

eval29.0ms (0.1%)

Memory: 20.6MiB live, 57.0MiB allocated
Compiler: Compiled 14 736 to 1 307 computations (91.1% saved)

prune10.0ms (0%)

Memory

-14.7MiB live, 21.3MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	196	1	197
Fresh	0	0	0
Picked	1	0	1
Done	0	6	6
Total	197	7	204

Accuracy

100.0%

Counts

204 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	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))
✓	64.0%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
✓	50.9%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a))
	77.3%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) (/.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(approx (+ 1 (/ (- (* b (/ b a)) b) a)) (fma.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal 1 binary64)) #s(literal 1 binary64))))) b))
✓	99.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) (+.f64 (/.f64 b a) #s(literal 1 binary64))) b))
✓	51.1%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
✓	48.7%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))

Compiler

Compiled 770 to 299 computations (61.2% saved)

regimes18.0ms (0.1%)

Memory

-15.5MiB live, 34.5MiB allocated

Counts

11 → 1

Calls

Call 1

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

Calls

4 calls:

7.0ms	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
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)

regimes8.0ms (0%)

Memory

13.5MiB live, 13.5MiB allocated

Counts

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

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

4 calls:

2.0ms	eps
2.0ms	b
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
74.6%	3	`eps`
84.9%	2	`a`
85.8%	2	`b`
64.0%	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)

regimes5.0ms (0%)

Memory

7.8MiB live, 7.8MiB 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
48.7%	1	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`
48.7%	1	`eps`
48.7%	1	`a`
48.7%	1	`b`

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch9.0ms (0%)

Memory

12.9MiB live, 12.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	7.838838284065139e-172	1.0639648139896277e-171

Samples

5.0ms

64×

valid

Compiler

Compiled 251 to 187 computations (25.5% saved)

Precisions

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

ival-mult: 2.0ms (56.2% of total)

ival-expm1: 1.0ms (28.1% of total)

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

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

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

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

simplify109.0ms (0.4%)

Memory

-9.5MiB live, 67.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	140
1	81	140
2	159	140
3	299	140
4	621	140
5	1849	140
6	4570	140
7	7496	140

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

(if (<=.f64 b #s(literal 142769892469147/135971326161092377264534580877431968596375838138120172339057699379303311324378174141225600579898697131235668348479104259928724310439093053288837114564246362097620805333860664072122400768 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)))

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

Outputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) (+.f64 (/.f64 b a) #s(literal 1 binary64))) b))
(if (<=.f64 b #s(literal 142769892469147/135971326161092377264534580877431968596375838138120172339057699379303311324378174141225600579898697131235668348479104259928724310439093053288837114564246362097620805333860664072122400768 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 142769892469147/135971326161092377264534580877431968596375838138120172339057699379303311324378174141225600579898697131235668348479104259928724310439093053288837114564246362097620805333860664072122400768 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)))

soundness362.0ms (1.4%)

Memory

-20.3MiB live, 258.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	370	2068
1	1205	2020
2	3842	1940
0	8010	1739
0	499	2970
1	1470	2637
2	4736	2409
0	8249	2174

Stop Event

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

Compiler

Compiled 149 to 63 computations (57.7% saved)

preprocess49.0ms (0.2%)

Memory: 22.6MiB live, 59.2MiB allocated
Compiler: Compiled 550 to 268 computations (51.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze166.0ms (0.7%)

sample20.8s (81.5%)

explain276.0ms (1.1%)

preprocess187.0ms (0.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify153.0ms (0.6%)

localize48.0ms (0.2%)

series38.0ms (0.1%)

simplify153.0ms (0.6%)

rewrite184.0ms (0.7%)

eval50.0ms (0.2%)

prune39.0ms (0.2%)

simplify121.0ms (0.5%)

localize325.0ms (1.3%)

series248.0ms (1%)

simplify210.0ms (0.8%)

rewrite295.0ms (1.2%)

eval169.0ms (0.7%)

prune22.0ms (0.1%)

simplify142.0ms (0.6%)

localize88.0ms (0.3%)

series48.0ms (0.2%)

simplify174.0ms (0.7%)

rewrite157.0ms (0.6%)

eval123.0ms (0.5%)

prune7.0ms (0%)

simplify129.0ms (0.5%)

localize133.0ms (0.5%)

series73.0ms (0.3%)

simplify162.0ms (0.6%)

rewrite196.0ms (0.8%)

eval29.0ms (0.1%)

prune10.0ms (0%)

regimes18.0ms (0.1%)

regimes8.0ms (0%)

regimes5.0ms (0%)

bsearch9.0ms (0%)

simplify109.0ms (0.4%)

soundness362.0ms (1.4%)

preprocess49.0ms (0.2%)

end0.0ms (0%)

Profiling