Metrics for expq3 (problem 3.4.2)

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze233.0ms (0.9%)

Memory

-4.3MiB live, 276.3MiB allocated; 67ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 52 to 27 computations (48.1% saved)

sample19.4s (78.9%)

Memory

310.9MiB live, 18 197.5MiB allocated; 5.1s collecting garbage

Samples

12.7s	63 593×	0	invalid
1.6s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 11.2s

ival-mult: 3.3s (29.6% of total)

const: 1.9s (16.8% of total)

ival-expm1: 1.6s (14.7% of total)

ival-fabs: 1.0s (9.2% of total)

ival-<=: 939.0ms (8.4% of total)

ival-fmin: 774.0ms (6.9% of total)

ival-add: 651.0ms (5.8% of total)

ival-div: 621.0ms (5.6% of total)

ival-and: 228.0ms (2% of total)

exact: 53.0ms (0.5% of total)

ival-assert: 31.0ms (0.3% of total)

adjust: 25.0ms (0.2% of total)

Bogosity

explain293.0ms (1.2%)

Memory

35.7MiB live, 272.8MiB allocated; 48ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
234	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))))`
141	1	(-5.606948543509886e-146 3.4836949273558934e-169 1.1646143239429811e-178)	-	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`
106	0	-	-	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`
103	1	(-5.606948543509886e-146 3.4836949273558934e-169 1.1646143239429811e-178)	-	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`
0	0	-	-	`(+.f64 a b)`
0	0	-	-	`(*.f64 b eps)`
0	0	-	-	`(exp.f64 (*.f64 a eps))`
0	0	-	-	`a`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(*.f64 a eps)`
0	0	-	-	`(exp.f64 (*.f64 (+.f64 a b) eps))`
0	0	-	-	`eps`
0	0	-	-	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`
0	0	-	-	`(.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))`
0	0	-	-	`(*.f64 (+.f64 a b) eps)`
0	0	-	-	`(exp.f64 (*.f64 b eps))`
0	0	-	-	`b`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`	u/u	213	0
↳	`(.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))`	underflow	213
↳	`(*.f64 (+.f64 a b) eps)`	underflow	114
↳	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`	underflow	114
↳	`(*.f64 b eps)`	underflow	150
↳	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	underflow	152
↳	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	underflow	150
↳	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`	underflow	234
↳	`(*.f64 a eps)`	underflow	152
`-.f64`	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`	cancellation	142	0
`-.f64`	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	cancellation	106	0
`-.f64`	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	cancellation	104	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	21	0
↳	`(*.f64 b eps)`	underflow	150
↳	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	underflow	152
↳	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	underflow	150
↳	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`	underflow	234
↳	`(*.f64 a eps)`	underflow	152

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	114
3	96
4	46

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

98.0ms

512×

valid

Compiler

Compiled 226 to 55 computations (75.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-mult: 51.0ms (66.4% of total)

ival-exp: 10.0ms (13% of total)

ival-expm1: 8.0ms (10.4% of total)

ival-div: 3.0ms (3.9% of total)

ival-add: 3.0ms (3.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

preprocess213.0ms (0.9%)

Memory

-17.3MiB live, 120.1MiB allocated; 21ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	235
1	272	233
2	679	233
3	2137	229
0	17	24
0	30	24
1	60	24
2	129	24
3	322	24
4	1274	24
0	8643	18

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(sort a b)

Compiler

Compiled 24 to 17 computations (29.2% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

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)

simplify127.0ms (0.5%)

Memory

3.3MiB live, 93.2MiB allocated; 8ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	99
0	30	99
1	60	99
2	129	99
3	322	99
4	1274	99
0	8643	81

Stop Event

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

Calls

Call 1

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

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

localize68.0ms (0.3%)

Memory

6.3MiB live, 57.1MiB allocated; 8ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	21.144617473458396	(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))
accuracy	24.952085948246296	(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))
accuracy	31.161811915851608	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))
accuracy	56.338119789117826	(/.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

57.0ms

256×

valid

Compiler

Compiled 101 to 19 computations (81.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-exp: 27.0ms (57.7% of total)

ival-mult: 12.0ms (25.6% of total)

ival-expm1: 4.0ms (8.5% of total)

ival-div: 2.0ms (4.3% of total)

ival-add: 2.0ms (4.3% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series50.0ms (0.2%)

Memory

-25.3MiB live, 19.3MiB allocated; 7ms collecting garbage

Counts

4 → 44

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
32.0ms	eps	@	-inf	((- (exp (* (+ a b) eps)) 1) (- (exp (* a eps)) 1) (- (exp (* b eps)) 1) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))))
4.0ms	eps	@	0	((- (exp (* (+ a b) eps)) 1) (- (exp (* a eps)) 1) (- (exp (* b eps)) 1) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))))
3.0ms	b	@	-inf	((- (exp (* (+ a b) eps)) 1) (- (exp (* a eps)) 1) (- (exp (* b eps)) 1) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))))
2.0ms	a	@	-inf	((- (exp (* (+ a b) eps)) 1) (- (exp (* a eps)) 1) (- (exp (* b eps)) 1) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))))
2.0ms	a	@	0	((- (exp (* (+ a b) eps)) 1) (- (exp (* a eps)) 1) (- (exp (* b eps)) 1) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))))

simplify155.0ms (0.6%)

Memory

34.8MiB live, 124.2MiB allocated; 10ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

44 → 44

Calls

Call 1

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

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

rewrite182.0ms (0.7%)

Memory

-7.0MiB live, 173.0MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 164

Calls

Call 1

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

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

eval88.0ms (0.4%)

Memory: -9.2MiB live, 65.7MiB allocated; 113ms collecting garbage
Compiler: Compiled 9 515 to 1 000 computations (89.5% saved)

prune6.0ms (0%)

Memory

17.9MiB live, 17.9MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

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

Accuracy

100.0%

Counts

203 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.9%	(/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a))))
▶	37.3%	#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))
▶	99.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) b) a))
▶	46.7%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
▶	52.4%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))

Compiler

Compiled 298 to 206 computations (30.9% saved)

simplify127.0ms (0.5%)

Memory

-24.7MiB live, 166.5MiB allocated; 25ms collecting garbage

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	#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	2	(/.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	(*.f64 eps (+.f64 b a))
cost-diff	0	(expm1.f64 (*.f64 eps (+.f64 b a)))
cost-diff	0	(.f64 (expm1.f64 (.f64 eps (+.f64 b a))) eps)
cost-diff	0	(/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a))))
cost-diff	0	(/.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	43	309
0	68	285
1	155	285
2	296	283
3	722	283
4	3044	283
0	8762	281

Stop Event

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

Calls

Call 1

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

localize101.0ms (0.4%)

Memory

6.5MiB live, 144.7MiB allocated; 13ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0859375	(/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 eps a)))
accuracy	0.15234375	(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	0.1640625	(/.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	39.8575970216978	(.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (.f64 eps a)))))
accuracy	0.01171875	(*.f64 eps (+.f64 b a))
accuracy	0.0234375	(.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a)))
accuracy	0.03125	(.f64 (expm1.f64 (.f64 eps (+.f64 b a))) eps)
accuracy	56.338119789117826	(/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a))))
accuracy	0.0	(/.f64 #s(literal 1 binary64) b)
accuracy	34.127535032306135	#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	30.48867237573027	#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	0.05078125	(/.f64 (+.f64 b a) b)
accuracy	0.13671875	(/.f64 (/.f64 (+.f64 b a) b) a)

Samples

69.0ms

256×

valid

Compiler

Compiled 308 to 39 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 19.0ms (37% of total)

ival-div: 12.0ms (23.4% of total)

ival-expm1: 8.0ms (15.6% of total)

ival-add: 5.0ms (9.7% of total)

ival-pow: 5.0ms (9.7% of total)

ival-exp: 2.0ms (3.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series152.0ms (0.6%)

Memory

30.8MiB live, 203.7MiB allocated; 48ms collecting garbage

Counts

18 → 118

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 (expm1.f64 (.f64 eps (+.f64 b a))) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a))))
(.f64 (expm1.f64 (.f64 eps (+.f64 b a))) eps)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(*.f64 eps (+.f64 b a))
(/.f64 (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 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 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps 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)
(* eps (- (exp (* b eps)) 1))
(+ (* a (* (pow eps 2) (exp (* b eps)))) (* eps (- (exp (* b eps)) 1)))
(+ (* a (+ (* 1/2 (* a (* (pow eps 3) (exp (* b eps))))) (* (pow eps 2) (exp (* b eps))))) (* eps (- (exp (* b eps)) 1)))
(+ (* a (+ (* a (+ (* 1/6 (* a (* (pow eps 4) (exp (* b eps))))) (* 1/2 (* (pow eps 3) (exp (* b eps)))))) (* (pow eps 2) (exp (* b eps))))) (* eps (- (exp (* b eps)) 1)))
(- (exp (* b eps)) 1)
(- (+ (exp (* b eps)) (* a (* eps (exp (* b eps))))) 1)
(- (+ (exp (* b eps)) (* a (+ (* 1/2 (* a (* (pow eps 2) (exp (* b eps))))) (* eps (exp (* b eps)))))) 1)
(- (+ (exp (* b eps)) (* a (+ (* a (+ (* 1/6 (* a (* (pow eps 3) (exp (* b eps))))) (* 1/2 (* (pow eps 2) (exp (* b eps)))))) (* eps (exp (* b eps)))))) 1)
(* b eps)
(+ (* a eps) (* b eps))
(/ (+ 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)
(* a (* eps (- (exp (* b eps)) 1)))
(* a (+ (* 1/2 (* a (* (pow eps 2) (- (exp (* b eps)) 1)))) (* eps (- (exp (* b eps)) 1))))
(* a (+ (* a (+ (* 1/6 (* a (* (pow eps 3) (- (exp (* b eps)) 1)))) (* 1/2 (* (pow eps 2) (- (exp (* b eps)) 1))))) (* eps (- (exp (* b eps)) 1))))
(* a (+ (* a (+ (* 1/2 (* (pow eps 2) (- (exp (* b eps)) 1))) (* a (+ (* 1/24 (* a (* (pow eps 4) (- (exp (* b eps)) 1)))) (* 1/6 (* (pow eps 3) (- (exp (* b eps)) 1))))))) (* eps (- (exp (* b eps)) 1))))
(/ 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)))
(* eps (- (exp (* eps (+ a b))) 1))
(- (exp (* eps (+ a b))) 1)
(* a eps)
(* a (+ eps (/ (* b eps) 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))
(* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))
(/ (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)))
(* eps (- (exp (* eps (- b (* -1 a)))) 1))
(- (exp (* eps (- b (* -1 a)))) 1)
(* -1 (* a (+ (* -1 eps) (* -1 (/ (* b eps) a)))))
(/ (+ 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)) 1))
(+ (* b (* (pow eps 2) (exp (* a eps)))) (* eps (- (exp (* a eps)) 1)))
(+ (* b (+ (* 1/2 (* b (* (pow eps 3) (exp (* a eps))))) (* (pow eps 2) (exp (* a eps))))) (* eps (- (exp (* a eps)) 1)))
(+ (* b (+ (* b (+ (* 1/6 (* b (* (pow eps 4) (exp (* a eps))))) (* 1/2 (* (pow eps 3) (exp (* a eps)))))) (* (pow eps 2) (exp (* a eps))))) (* eps (- (exp (* a eps)) 1)))
(- (exp (* a eps)) 1)
(- (+ (exp (* a eps)) (* b (* eps (exp (* a eps))))) 1)
(- (+ (exp (* a eps)) (* b (+ (* 1/2 (* b (* (pow eps 2) (exp (* a eps))))) (* eps (exp (* a eps)))))) 1)
(- (+ (exp (* a eps)) (* b (+ (* b (+ (* 1/6 (* b (* (pow eps 3) (exp (* a eps))))) (* 1/2 (* (pow eps 2) (exp (* a eps)))))) (* eps (exp (* a eps)))))) 1)
(* b (* eps (- (exp (* a eps)) 1)))
(* b (+ (* 1/2 (* b (* (pow eps 2) (- (exp (* a eps)) 1)))) (* eps (- (exp (* a eps)) 1))))
(* b (+ (* b (+ (* 1/6 (* b (* (pow eps 3) (- (exp (* a eps)) 1)))) (* 1/2 (* (pow eps 2) (- (exp (* a eps)) 1))))) (* eps (- (exp (* a eps)) 1))))
(* b (+ (* b (+ (* 1/2 (* (pow eps 2) (- (exp (* a eps)) 1))) (* b (+ (* 1/24 (* b (* (pow eps 4) (- (exp (* a eps)) 1)))) (* 1/6 (* (pow eps 3) (- (exp (* a eps)) 1))))))) (* eps (- (exp (* a eps)) 1))))
(* b (+ 1 (/ a b)))
(* b (+ eps (/ (* a eps) 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)))
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* eps (- (exp (* eps (- a (* -1 b)))) 1))
(- (exp (* eps (- a (* -1 b)))) 1)
(* -1 (* b (+ (* -1 eps) (* -1 (/ (* a eps) b)))))
(* -1 (* b (- (* -1 (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))) (/ 1 b))))
(/ (+ a b) (* a b))
(+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (+ (* 1/6 (/ (pow (+ a b) 3) (* a b))) (* eps (- (* 1/24 (/ (pow (+ a b) 4) (* a b))) (+ (/ (* (+ a b) (+ (* 1/24 (* a (pow b 4))) (+ (* 1/24 (* (pow a 4) b)) (+ (* 1/12 (* (pow a 2) (pow b 3))) (* 1/12 (* (pow a 3) (pow b 2))))))) (* (pow a 2) (pow b 2))) (+ (/ (* (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2))))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b))))) (* a b))))))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(* (pow eps 2) (+ a b))
(* (pow eps 2) (+ a (+ b (* 1/2 (* eps (pow (+ a b) 2))))))
(* (pow eps 2) (+ a (+ b (* eps (+ (* 1/6 (* eps (pow (+ a b) 3))) (* 1/2 (pow (+ a b) 2)))))))
(* (pow eps 2) (+ a (+ b (* eps (+ (* 1/2 (pow (+ a b) 2)) (* eps (+ (* 1/24 (* eps (pow (+ a b) 4))) (* 1/6 (pow (+ a b) 3)))))))))
(* eps (+ a b))
(* eps (+ a (+ b (* 1/2 (* eps (pow (+ a b) 2))))))
(* eps (+ a (+ b (* eps (+ (* 1/6 (* eps (pow (+ a b) 3))) (* 1/2 (pow (+ a b) 2)))))))
(* eps (+ a (+ b (* eps (+ (* 1/2 (pow (+ a b) 2)) (* eps (+ (* 1/24 (* eps (pow (+ a b) 4))) (* 1/6 (pow (+ a b) 3)))))))))
(+ (* (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))
(* a (* b (pow eps 2)))
(* (pow eps 2) (+ (* a b) (* eps (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))))))
(* (pow eps 2) (+ (* a b) (* eps (+ (* 1/2 (* a (pow b 2))) (+ (* 1/2 (* (pow a 2) b)) (* eps (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))))))))
(* (pow eps 2) (+ (* a b) (* eps (+ (* 1/2 (* a (pow b 2))) (+ (* 1/2 (* (pow a 2) b)) (* eps (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (+ (* 1/4 (* (pow a 2) (pow b 2))) (* eps (+ (* 1/24 (* a (pow b 4))) (+ (* 1/24 (* (pow a 4) b)) (+ (* 1/12 (* (pow a 2) (pow b 3))) (* 1/12 (* (pow a 3) (pow b 2))))))))))))))))
(/ (+ (* 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
74.0ms	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) (/ (* (- (exp (* eps (+ b a))) 1) eps) (* (- (exp (* eps b)) 1) (- (exp (* eps a)) 1))) (* (- (exp (* eps (+ b a))) 1) eps) (- (exp (* eps (+ b a))) 1) (* eps (+ b a)) (/ (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) b) (/ (* 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) (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (* (- (exp (* eps b)) 1) (- (exp (* eps a)) 1)) (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))
30.0ms	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) (/ (* (- (exp (* eps (+ b a))) 1) eps) (* (- (exp (* eps b)) 1) (- (exp (* eps a)) 1))) (* (- (exp (* eps (+ b a))) 1) eps) (- (exp (* eps (+ b a))) 1) (* eps (+ b a)) (/ (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) b) (/ (* 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) (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (* (- (exp (* eps b)) 1) (- (exp (* eps a)) 1)) (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))
14.0ms	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) (/ (* (- (exp (* eps (+ b a))) 1) eps) (* (- (exp (* eps b)) 1) (- (exp (* eps a)) 1))) (* (- (exp (* eps (+ b a))) 1) eps) (- (exp (* eps (+ b a))) 1) (* eps (+ b a)) (/ (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) b) (/ (* 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) (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (* (- (exp (* eps b)) 1) (- (exp (* eps a)) 1)) (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))
7.0ms	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) (/ (* (- (exp (* eps (+ b a))) 1) eps) (* (- (exp (* eps b)) 1) (- (exp (* eps a)) 1))) (* (- (exp (* eps (+ b a))) 1) eps) (- (exp (* eps (+ b a))) 1) (* eps (+ b a)) (/ (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) b) (/ (* 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) (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (* (- (exp (* eps b)) 1) (- (exp (* eps a)) 1)) (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))
6.0ms	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) (/ (* (- (exp (* eps (+ b a))) 1) eps) (* (- (exp (* eps b)) 1) (- (exp (* eps a)) 1))) (* (- (exp (* eps (+ b a))) 1) eps) (- (exp (* eps (+ b a))) 1) (* eps (+ b a)) (/ (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) b) (/ (* 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) (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (* (- (exp (* eps b)) 1) (- (exp (* eps a)) 1)) (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))

simplify191.0ms (0.8%)

Memory

-12.8MiB live, 173.2MiB allocated; 52ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	574	3705
1	2030	3363
0	8463	2998

Stop Event

1×	iter limit
1×	node limit

Counts

118 → 116

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)
(* eps (- (exp (* b eps)) 1))
(+ (* a (* (pow eps 2) (exp (* b eps)))) (* eps (- (exp (* b eps)) 1)))
(+ (* a (+ (* 1/2 (* a (* (pow eps 3) (exp (* b eps))))) (* (pow eps 2) (exp (* b eps))))) (* eps (- (exp (* b eps)) 1)))
(+ (* a (+ (* a (+ (* 1/6 (* a (* (pow eps 4) (exp (* b eps))))) (* 1/2 (* (pow eps 3) (exp (* b eps)))))) (* (pow eps 2) (exp (* b eps))))) (* eps (- (exp (* b eps)) 1)))
(- (exp (* b eps)) 1)
(- (+ (exp (* b eps)) (* a (* eps (exp (* b eps))))) 1)
(- (+ (exp (* b eps)) (* a (+ (* 1/2 (* a (* (pow eps 2) (exp (* b eps))))) (* eps (exp (* b eps)))))) 1)
(- (+ (exp (* b eps)) (* a (+ (* a (+ (* 1/6 (* a (* (pow eps 3) (exp (* b eps))))) (* 1/2 (* (pow eps 2) (exp (* b eps)))))) (* eps (exp (* b eps)))))) 1)
(* b eps)
(+ (* a eps) (* b eps))
(/ (+ 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)
(* a (* eps (- (exp (* b eps)) 1)))
(* a (+ (* 1/2 (* a (* (pow eps 2) (- (exp (* b eps)) 1)))) (* eps (- (exp (* b eps)) 1))))
(* a (+ (* a (+ (* 1/6 (* a (* (pow eps 3) (- (exp (* b eps)) 1)))) (* 1/2 (* (pow eps 2) (- (exp (* b eps)) 1))))) (* eps (- (exp (* b eps)) 1))))
(* a (+ (* a (+ (* 1/2 (* (pow eps 2) (- (exp (* b eps)) 1))) (* a (+ (* 1/24 (* a (* (pow eps 4) (- (exp (* b eps)) 1)))) (* 1/6 (* (pow eps 3) (- (exp (* b eps)) 1))))))) (* eps (- (exp (* b eps)) 1))))
(/ 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)))
(* eps (- (exp (* eps (+ a b))) 1))
(- (exp (* eps (+ a b))) 1)
(* a eps)
(* a (+ eps (/ (* b eps) 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))
(* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))
(/ (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)))
(* eps (- (exp (* eps (- b (* -1 a)))) 1))
(- (exp (* eps (- b (* -1 a)))) 1)
(* -1 (* a (+ (* -1 eps) (* -1 (/ (* b eps) a)))))
(/ (+ 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)) 1))
(+ (* b (* (pow eps 2) (exp (* a eps)))) (* eps (- (exp (* a eps)) 1)))
(+ (* b (+ (* 1/2 (* b (* (pow eps 3) (exp (* a eps))))) (* (pow eps 2) (exp (* a eps))))) (* eps (- (exp (* a eps)) 1)))
(+ (* b (+ (* b (+ (* 1/6 (* b (* (pow eps 4) (exp (* a eps))))) (* 1/2 (* (pow eps 3) (exp (* a eps)))))) (* (pow eps 2) (exp (* a eps))))) (* eps (- (exp (* a eps)) 1)))
(- (exp (* a eps)) 1)
(- (+ (exp (* a eps)) (* b (* eps (exp (* a eps))))) 1)
(- (+ (exp (* a eps)) (* b (+ (* 1/2 (* b (* (pow eps 2) (exp (* a eps))))) (* eps (exp (* a eps)))))) 1)
(- (+ (exp (* a eps)) (* b (+ (* b (+ (* 1/6 (* b (* (pow eps 3) (exp (* a eps))))) (* 1/2 (* (pow eps 2) (exp (* a eps)))))) (* eps (exp (* a eps)))))) 1)
(* b (* eps (- (exp (* a eps)) 1)))
(* b (+ (* 1/2 (* b (* (pow eps 2) (- (exp (* a eps)) 1)))) (* eps (- (exp (* a eps)) 1))))
(* b (+ (* b (+ (* 1/6 (* b (* (pow eps 3) (- (exp (* a eps)) 1)))) (* 1/2 (* (pow eps 2) (- (exp (* a eps)) 1))))) (* eps (- (exp (* a eps)) 1))))
(* b (+ (* b (+ (* 1/2 (* (pow eps 2) (- (exp (* a eps)) 1))) (* b (+ (* 1/24 (* b (* (pow eps 4) (- (exp (* a eps)) 1)))) (* 1/6 (* (pow eps 3) (- (exp (* a eps)) 1))))))) (* eps (- (exp (* a eps)) 1))))
(* b (+ 1 (/ a b)))
(* b (+ eps (/ (* a eps) 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)))
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* eps (- (exp (* eps (- a (* -1 b)))) 1))
(- (exp (* eps (- a (* -1 b)))) 1)
(* -1 (* b (+ (* -1 eps) (* -1 (/ (* a eps) b)))))
(* -1 (* b (- (* -1 (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))) (/ 1 b))))
(/ (+ a b) (* a b))
(+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (+ (* 1/6 (/ (pow (+ a b) 3) (* a b))) (* eps (- (* 1/24 (/ (pow (+ a b) 4) (* a b))) (+ (/ (* (+ a b) (+ (* 1/24 (* a (pow b 4))) (+ (* 1/24 (* (pow a 4) b)) (+ (* 1/12 (* (pow a 2) (pow b 3))) (* 1/12 (* (pow a 3) (pow b 2))))))) (* (pow a 2) (pow b 2))) (+ (/ (* (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2))))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b))))) (* a b))))))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(* (pow eps 2) (+ a b))
(* (pow eps 2) (+ a (+ b (* 1/2 (* eps (pow (+ a b) 2))))))
(* (pow eps 2) (+ a (+ b (* eps (+ (* 1/6 (* eps (pow (+ a b) 3))) (* 1/2 (pow (+ a b) 2)))))))
(* (pow eps 2) (+ a (+ b (* eps (+ (* 1/2 (pow (+ a b) 2)) (* eps (+ (* 1/24 (* eps (pow (+ a b) 4))) (* 1/6 (pow (+ a b) 3)))))))))
(* eps (+ a b))
(* eps (+ a (+ b (* 1/2 (* eps (pow (+ a b) 2))))))
(* eps (+ a (+ b (* eps (+ (* 1/6 (* eps (pow (+ a b) 3))) (* 1/2 (pow (+ a b) 2)))))))
(* eps (+ a (+ b (* eps (+ (* 1/2 (pow (+ a b) 2)) (* eps (+ (* 1/24 (* eps (pow (+ a b) 4))) (* 1/6 (pow (+ a b) 3)))))))))
(+ (* (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))
(* a (* b (pow eps 2)))
(* (pow eps 2) (+ (* a b) (* eps (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))))))
(* (pow eps 2) (+ (* a b) (* eps (+ (* 1/2 (* a (pow b 2))) (+ (* 1/2 (* (pow a 2) b)) (* eps (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))))))))
(* (pow eps 2) (+ (* a b) (* eps (+ (* 1/2 (* a (pow b 2))) (+ (* 1/2 (* (pow a 2) b)) (* eps (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (+ (* 1/4 (* (pow a 2) (pow b 2))) (* eps (+ (* 1/24 (* a (pow b 4))) (+ (* 1/24 (* (pow a 4) b)) (+ (* 1/12 (* (pow a 2) (pow b 3))) (* 1/12 (* (pow a 3) (pow b 2))))))))))))))))
(/ (+ (* 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 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (.f64 b eps))) #s(literal 1/2 binary64))) a #s(literal 1 binary64)) a)
(/ (+ 1 (* a (- (+ (* a (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a)
(fma.f64 (fma.f64 (-.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (.f64 b eps))) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (.f64 b eps))) #s(literal 1/2 binary64))) (.f64 #s(literal 1/2 binary64) eps))) a (.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64)))) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(/ (+ 1 (* a (- (+ (* a (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (* a (- (* 1/6 (/ (* (pow eps 3) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a)
(fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/6 binary64)) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (.f64 b eps))) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (.f64 (-.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (.f64 b eps))) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (.f64 b eps))) #s(literal 1/2 binary64))) (.f64 #s(literal 1/2 binary64) eps))) eps) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) (.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (.f64 b eps))) #s(literal 1/2 binary64)))))) a (-.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (.f64 b eps))) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (.f64 b eps))) #s(literal 1/2 binary64))) (.f64 #s(literal 1/2 binary64) eps)))) a (.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64)))) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(/ (+ 1 (/ a b)) a)
(/.f64 (/.f64 (+.f64 b a) a) b)
1
#s(literal 1 binary64)
(+ 1 (/ a b))
(/.f64 (+.f64 b a) b)
b
(+ a b)
(+.f64 b a)
(* eps (- (exp (* b eps)) 1))
(.f64 (expm1.f64 (.f64 b eps)) eps)
(+ (* a (* (pow eps 2) (exp (* b eps)))) (* eps (- (exp (* b eps)) 1)))
(fma.f64 (.f64 (.f64 eps eps) a) (pow.f64 (exp.f64 b) eps) (.f64 (expm1.f64 (.f64 b eps)) eps))
(+ (* a (+ (* 1/2 (* a (* (pow eps 3) (exp (* b eps))))) (* (pow eps 2) (exp (* b eps))))) (* eps (- (exp (* b eps)) 1)))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) a)) (pow.f64 (exp.f64 b) eps) (.f64 (.f64 eps eps) (pow.f64 (exp.f64 b) eps))) a (.f64 (expm1.f64 (.f64 b eps)) eps))
(+ (* a (+ (* a (+ (* 1/6 (* a (* (pow eps 4) (exp (* b eps))))) (* 1/2 (* (pow eps 3) (exp (* b eps)))))) (* (pow eps 2) (exp (* b eps))))) (* eps (- (exp (* b eps)) 1)))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 4 binary64)) a)) (pow.f64 (exp.f64 b) eps) (.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 b) eps))) a (.f64 (.f64 eps eps) (pow.f64 (exp.f64 b) eps))) a (.f64 (expm1.f64 (.f64 b eps)) eps))
(- (exp (* b eps)) 1)
(expm1.f64 (*.f64 b eps))
(- (+ (exp (* b eps)) (* a (* eps (exp (* b eps))))) 1)
(-.f64 (*.f64 (fma.f64 a eps #s(literal 1 binary64)) (pow.f64 (exp.f64 b) eps)) #s(literal 1 binary64))
(- (+ (exp (* b eps)) (* a (+ (* 1/2 (* a (* (pow eps 2) (exp (* b eps))))) (* eps (exp (* b eps)))))) 1)
(fma.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) (pow.f64 (exp.f64 b) eps)) (.f64 eps eps) (.f64 (pow.f64 (exp.f64 b) eps) eps)) a (expm1.f64 (*.f64 b eps)))
(- (+ (exp (* b eps)) (* a (+ (* a (+ (* 1/6 (* a (* (pow eps 3) (exp (* b eps))))) (* 1/2 (* (pow eps 2) (exp (* b eps)))))) (* eps (exp (* b eps)))))) 1)
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) a)) (pow.f64 (exp.f64 b) eps) (.f64 (.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 b) eps))) a (.f64 (pow.f64 (exp.f64 b) eps) eps)) a (expm1.f64 (*.f64 b eps)))
(* b eps)
(*.f64 b eps)
(+ (* a eps) (* b eps))
(*.f64 (+.f64 b a) eps)
(/ (+ 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)
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) eps) eps (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) (.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)))) (*.f64 a eps))) a (/.f64 #s(literal 1 binary64) b)) #s(literal 1 binary64) (/.f64 #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)
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rewrite186.0ms (0.8%)

Memory

27.4MiB live, 217.9MiB allocated; 68ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	254
0	68	230
1	302	230
2	1655	230
0	8224	230

Stop Event

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

Counts

18 → 468

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

eval89.0ms (0.4%)

Memory: -21.6MiB live, 121.4MiB allocated; 21ms collecting garbage
Compiler: Compiled 29 488 to 2 866 computations (90.3% saved)

prune43.0ms (0.2%)

Memory

-9.0MiB live, 37.9MiB allocated; 2ms collecting garbage

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	600	7	607
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	603	9	612

Accuracy

100.0%

Counts

612 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (fma.f64 #s(approx (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (fma.f64 (.f64 (.f64 a #s(literal 1/12 binary64)) eps) eps (/.f64 #s(literal 1 binary64) a))) b #s(literal 1 binary64)) b))
▶	99.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a))
▶	60.2%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
▶	46.5%	#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))
▶	52.2%	#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 b a)) b))
✓	46.7%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
✓	52.4%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
	58.7%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (/.f64 b (.f64 b a)) (/.f64 a (.f64 b a))))
▶	100.0%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) b) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) eps) eps (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) (.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)))) (*.f64 a eps))) a (/.f64 #s(literal 1 binary64) b)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))))

Compiler

Compiled 708 to 450 computations (36.4% saved)

simplify568.0ms (2.3%)

Memory

-253.6MiB live, 159.9MiB allocated; 938ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 a b)
cost-diff	0	(+.f64 (/.f64 a b) #s(literal 1 binary64))
cost-diff	0	(/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a)
cost-diff	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a))
cost-diff	0	(/.f64 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 b a)
cost-diff	0	#s(approx (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) (/.f64 b a))
cost-diff	0	(/.f64 #s(approx (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) (/.f64 b a)) b)
cost-diff	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) (/.f64 b a)) b))
cost-diff	0	(*.f64 b a)
cost-diff	0	(+.f64 b a)
cost-diff	0	(/.f64 (+.f64 b a) (*.f64 b a))
cost-diff	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
cost-diff	2	(.f64 (.f64 #s(literal 1/12 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64))
cost-diff	4	(.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) (.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)))) (.f64 a eps))
cost-diff	5	(fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) (.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)))
cost-diff	10	(-.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) (.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	591
0	91	555
1	186	507
2	496	443
3	1751	427
4	7528	427
0	8414	382

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) b) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) eps) eps (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) (.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)))) (*.f64 a eps))) a (/.f64 #s(literal 1 binary64) b)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))))
#s(approx (/ (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) b) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) eps) eps (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) (.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)))) (*.f64 a eps))) a (/.f64 #s(literal 1 binary64) b)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a)))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) eps) eps (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) (.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)))) (*.f64 a eps))) a (/.f64 #s(literal 1 binary64) b)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) eps) eps (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) (.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)))) (*.f64 a eps))) a (/.f64 #s(literal 1 binary64) b))
(fma.f64 (.f64 #s(literal 1/12 binary64) eps) eps (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) (.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)))) (*.f64 a eps)))
(*.f64 #s(literal 1/12 binary64) eps)
#s(literal 1/12 binary64)
eps
(.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) (.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)))) (.f64 a eps))
(-.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) (.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64))))
(.f64 (.f64 eps eps) #s(literal 1/8 binary64))
(*.f64 eps eps)
#s(literal 1/8 binary64)
(fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) (.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1/12 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/12 binary64) (.f64 eps eps))
#s(literal 1/2 binary64)
(*.f64 a eps)
a
(/.f64 #s(literal 1 binary64) b)
#s(literal 1 binary64)
b
(/.f64 #s(literal 1 binary64) a)
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
(/.f64 (+.f64 b a) (*.f64 b a))
(+.f64 b a)
b
a
(*.f64 b a)
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) (/.f64 b a)) b))
(/.f64 #s(approx (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) (/.f64 b a)) b)
#s(approx (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) (/.f64 b a))
(/.f64 b a)
b
a
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #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 (/.f64 a b) #s(literal 1 binary64)) a))
(/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a)
(+.f64 (/.f64 a b) #s(literal 1 binary64))
(/.f64 a b)
a
b
#s(literal 1 binary64)

Outputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) b) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) eps) eps (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) (.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)))) (*.f64 a eps))) 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))) #s(approx (/ (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) b) (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/12 binary64)) a (/.f64 (/.f64 (+.f64 b a) b) a))))
#s(approx (/ (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) b) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) eps) eps (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) (.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)))) (*.f64 a eps))) a (/.f64 #s(literal 1 binary64) b)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a)))
#s(approx (/ (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) b) (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/12 binary64)) a (/.f64 (/.f64 (+.f64 b a) b) a)))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) eps) eps (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) (.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)))) (*.f64 a eps))) a (/.f64 #s(literal 1 binary64) b)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(fma.f64 (.f64 (.f64 eps eps) #s(literal 1/12 binary64)) a (/.f64 (/.f64 (+.f64 b a) b) a))
(fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) eps) eps (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) (.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)))) (*.f64 a eps))) a (/.f64 #s(literal 1 binary64) b))
(fma.f64 (.f64 (.f64 eps eps) #s(literal 1/12 binary64)) a (/.f64 #s(literal 1 binary64) b))
(fma.f64 (.f64 #s(literal 1/12 binary64) eps) eps (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) (.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)))) (*.f64 a eps)))
(.f64 (.f64 eps eps) #s(literal 1/12 binary64))
(*.f64 #s(literal 1/12 binary64) eps)
#s(literal 1/12 binary64)
eps
(.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) (.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)))) (.f64 a eps))
#s(literal 0 binary64)
(-.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) (.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64))))
#s(literal 0 binary64)
(.f64 (.f64 eps eps) #s(literal 1/8 binary64))
(.f64 #s(literal 1/8 binary64) (.f64 eps eps))
(*.f64 eps eps)
#s(literal 1/8 binary64)
(fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) (.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)))
(.f64 #s(literal 1/8 binary64) (.f64 eps eps))
(.f64 (.f64 #s(literal 1/12 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/24 binary64) (.f64 eps eps))
(.f64 #s(literal 1/12 binary64) (.f64 eps eps))
(.f64 (.f64 eps eps) #s(literal 1/12 binary64))
#s(literal 1/2 binary64)
(*.f64 a eps)
a
(/.f64 #s(literal 1 binary64) b)
#s(literal 1 binary64)
b
(/.f64 #s(literal 1 binary64) a)
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) b) a))
(/.f64 (+.f64 b a) (*.f64 b a))
(/.f64 (/.f64 (+.f64 b a) b) a)
(+.f64 b a)
b
a
(*.f64 b a)
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) (/.f64 b a)) b))
(/.f64 #s(approx (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) (/.f64 b a)) b)
#s(approx (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) (/.f64 b a))
(/.f64 b a)
b
a
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #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 (/.f64 a b) #s(literal 1 binary64)) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) b) a))
(/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a)
(/.f64 (/.f64 (+.f64 b a) b) a)
(+.f64 (/.f64 a b) #s(literal 1 binary64))
(/.f64 (+.f64 b a) b)
(/.f64 a b)
a
b
#s(literal 1 binary64)

localize164.0ms (0.7%)

Memory

-3.7MiB live, 250.0MiB allocated; 34ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 a b)
accuracy	0.0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a))
accuracy	0.015625	(+.f64 (/.f64 a b) #s(literal 1 binary64))
accuracy	0.13671875	(/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) 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	0.13671875	(/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a)
accuracy	33.93465864860347	#s(approx (/ (+ b a) b) (/.f64 a b))
accuracy	0.0	(/.f64 b a)
accuracy	0.0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) (/.f64 b a)) b))
accuracy	0.1640625	(/.f64 #s(approx (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) (/.f64 b a)) b)
accuracy	30.037883458146208	#s(approx (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) (/.f64 b a))
accuracy	0.0	(+.f64 b a)
accuracy	0.0	(*.f64 b a)
accuracy	0.0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
accuracy	25.266788777776423	(/.f64 (+.f64 b a) (*.f64 b a))
accuracy	0.02734375	(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) eps) eps (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) (.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)))) (*.f64 a eps))) a (/.f64 #s(literal 1 binary64) b)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
accuracy	0.05859375	(fma.f64 (.f64 #s(literal 1/12 binary64) eps) eps (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) (.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)))) (*.f64 a eps)))
accuracy	0.05859375	(.f64 #s(literal 1/12 binary64) (.f64 eps eps))
accuracy	0.359375	(*.f64 #s(literal 1/12 binary64) eps)

Samples

84.0ms	203×	0	valid
39.0ms	48×	1	valid
4.0ms	4×	2	valid
2.0ms	1×	5	exit

Compiler

Compiled 437 to 55 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 100.0ms

ival-mult: 36.0ms (36% of total)

ival-div: 19.0ms (19% of total)

ival-add: 12.0ms (12% of total)

adjust: 9.0ms (9% of total)

const: 8.0ms (8% of total)

ival-expm1: 7.0ms (7% of total)

ival-sub: 3.0ms (3% of total)

ival-pow: 3.0ms (3% of total)

ival-exp: 2.0ms (2% of total)

exact: 1.0ms (1% of total)

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

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

series131.0ms (0.5%)

Memory

2.9MiB live, 189.8MiB allocated; 31ms collecting garbage

Counts

23 → 78

Calls

Call 1

Inputs
(-.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) (.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) (.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)))
(.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) (.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)))) (.f64 a eps))
(.f64 (.f64 #s(literal 1/12 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
(/.f64 (+.f64 b a) (*.f64 b a))
(+.f64 b a)
(*.f64 b a)
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) (/.f64 b a)) b))
(/.f64 #s(approx (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) (/.f64 b a)) b)
#s(approx (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) (/.f64 b a))
(/.f64 b a)
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a))
(/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a)
#s(approx (/ (+ b a) b) (/.f64 a b))
(/.f64 a b)
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a))
(/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a)
(+.f64 (/.f64 a b) #s(literal 1 binary64))
(*.f64 #s(literal 1/12 binary64) eps)
(.f64 #s(literal 1/12 binary64) (.f64 eps eps))
(fma.f64 (.f64 #s(literal 1/12 binary64) eps) eps (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) (.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)))) (*.f64 a eps)))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) eps) eps (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) (.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)))) (*.f64 a eps))) a (/.f64 #s(literal 1 binary64) b)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))

Outputs
(* a (* eps (- (* 1/8 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (* 1/12 (pow eps 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)
b
(+ a b)
(* 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
(+ 1 (/ a b))
(/ a b)
(* 1/12 (pow eps 2))
(+ (* 1/12 (pow eps 2)) (* a (* eps (- (* 1/8 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (* 1/12 (pow eps 2)))))))
(/ (+ 1 (* a (+ (* 1/12 (* a (pow eps 2))) (/ 1 b)))) a)
(/ (+ 1 (* a (+ (* a (+ (* 1/12 (pow eps 2)) (* a (* eps (- (* 1/8 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (* 1/12 (pow eps 2)))))))) (/ 1 b)))) a)
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ 1 b)
(+ (/ 1 a) (/ 1 b))
a
(* a (+ 1 (/ b a)))
(/ (+ 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))))
(* a (+ (/ 1 a) (/ 1 b)))
(* a (+ (* 1/12 (/ (pow eps 2) a)) (* eps (- (* 1/8 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (* 1/12 (pow eps 2)))))))
(* (pow a 2) (* eps (- (* 1/8 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (* 1/12 (pow eps 2))))))
(* (pow a 2) (+ (* 1/12 (/ (pow eps 2) a)) (* eps (- (* 1/8 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (* 1/12 (pow eps 2)))))))
(* (pow a 2) (+ (* 1/12 (/ (pow eps 2) a)) (+ (* eps (- (* 1/8 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (* 1/12 (pow eps 2))))) (/ 1 (* (pow a 2) b)))))
(* (pow a 2) (+ (* 1/12 (/ (pow eps 2) a)) (+ (* eps (- (* 1/8 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (* 1/12 (pow eps 2))))) (+ (/ 1 (* (pow a 2) b)) (/ 1 (pow a 3))))))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (+ (* -1 (* eps (- (* 1/8 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (* 1/12 (pow eps 2)))))) (* -1/12 (/ (pow eps 2) a)))))
(* (pow a 2) (+ (* -1 (/ (- (* -1/12 (pow eps 2)) (/ 1 (* a b))) a)) (* eps (- (* 1/8 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (* 1/12 (pow eps 2)))))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (+ (/ 1 a) (/ 1 b)) a)) (* -1/12 (pow eps 2))) a)) (* eps (- (* 1/8 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (* 1/12 (pow eps 2)))))))
(/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b)
(/ (+ 1 (* b (- (+ (* b (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b)
(/ (+ 1 (* b (- (+ (* b (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (* b (- (* 1/6 (/ (* (pow eps 3) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b)
(/ (+ 1 (/ b a)) b)
(/ (+ a b) b)
(/ (+ 1 (* b (+ (* a (+ (* 1/12 (pow eps 2)) (* a (* eps (- (* 1/8 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (* 1/12 (pow eps 2)))))))) (/ 1 a)))) b)
(* b (+ 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)))
(+ (* a (+ (* 1/12 (pow eps 2)) (* a (* eps (- (* 1/8 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (* 1/12 (pow eps 2)))))))) (/ 1 a))
(+ (* a (+ (* 1/12 (pow eps 2)) (* a (* eps (- (* 1/8 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (* 1/12 (pow eps 2)))))))) (+ (/ 1 a) (/ 1 b)))
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))) (/ 1 b))))
0
(* 1/8 (pow eps 2))
(* 1/24 (pow eps 2))
(/ (+ a b) (* a b))
(+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (+ (* 1/6 (/ (pow (+ a b) 3) (* a b))) (* eps (- (* 1/24 (/ (pow (+ a b) 4) (* a b))) (+ (/ (* (+ a b) (+ (* 1/24 (* a (pow b 4))) (+ (* 1/24 (* (pow a 4) b)) (+ (* 1/12 (* (pow a 2) (pow b 3))) (* 1/12 (* (pow a 3) (pow b 2))))))) (* (pow a 2) (pow b 2))) (+ (/ (* (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2))))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b))))) (* a b))))))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(+ (* (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)))
(* 1/12 eps)
(+ (* 1/12 (* a (pow eps 2))) (+ (/ 1 a) (/ 1 b)))
(* 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)))
(* 1/12 (* a (pow eps 2)))
(* (pow eps 2) (+ (* 1/12 a) (+ (/ 1 (* a (pow eps 2))) (/ 1 (* b (pow eps 2))))))
(* -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
40.0ms	eps	@	inf	((- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps)) (* (* 1/12 (* eps eps)) 1/2) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ b a) (* b a)) (+ b a) (* b a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (* (* 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) (/ (* 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))) (/ (+ (/ a b) 1) a) (+ (/ a b) 1) (* 1/12 eps) (* 1/12 (* eps eps)) (+ (* (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) (+ (* (+ (* (+ (* (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) a) (/ 1 b)) 1) (/ 1 a)))
32.0ms	a	@	inf	((- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps)) (* (* 1/12 (* eps eps)) 1/2) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ b a) (* b a)) (+ b a) (* b a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (* (* 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) (/ (* 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))) (/ (+ (/ a b) 1) a) (+ (/ a b) 1) (* 1/12 eps) (* 1/12 (* eps eps)) (+ (* (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) (+ (* (+ (* (+ (* (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) a) (/ 1 b)) 1) (/ 1 a)))
14.0ms	a	@	-inf	((- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps)) (* (* 1/12 (* eps eps)) 1/2) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ b a) (* b a)) (+ b a) (* b a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (* (* 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) (/ (* 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))) (/ (+ (/ a b) 1) a) (+ (/ a b) 1) (* 1/12 eps) (* 1/12 (* eps eps)) (+ (* (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) (+ (* (+ (* (+ (* (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) a) (/ 1 b)) 1) (/ 1 a)))
14.0ms	eps	@	0	((- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps)) (* (* 1/12 (* eps eps)) 1/2) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ b a) (* b a)) (+ b a) (* b a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (* (* 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) (/ (* 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))) (/ (+ (/ a b) 1) a) (+ (/ a b) 1) (* 1/12 eps) (* 1/12 (* eps eps)) (+ (* (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) (+ (* (+ (* (+ (* (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) a) (/ 1 b)) 1) (/ 1 a)))
9.0ms	eps	@	-inf	((- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps)) (* (* 1/12 (* eps eps)) 1/2) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ b a) (* b a)) (+ b a) (* b a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (* (* 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) (/ (* 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))) (/ (+ (/ a b) 1) a) (+ (/ a b) 1) (* 1/12 eps) (* 1/12 (* eps eps)) (+ (* (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) (+ (* (+ (* (+ (* (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) a) (/ 1 b)) 1) (/ 1 a)))

simplify141.0ms (0.6%)

Memory

16.8MiB live, 156.7MiB allocated; 24ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	409	2530
1	1320	2210
2	5257	2198
0	8342	1994

Stop Event

1×	iter limit
1×	node limit

Counts

78 → 76

Calls

Call 1

Inputs
(* a (* eps (- (* 1/8 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (* 1/12 (pow eps 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)
b
(+ a b)
(* 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
(+ 1 (/ a b))
(/ a b)
(* 1/12 (pow eps 2))
(+ (* 1/12 (pow eps 2)) (* a (* eps (- (* 1/8 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (* 1/12 (pow eps 2)))))))
(/ (+ 1 (* a (+ (* 1/12 (* a (pow eps 2))) (/ 1 b)))) a)
(/ (+ 1 (* a (+ (* a (+ (* 1/12 (pow eps 2)) (* a (* eps (- (* 1/8 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (* 1/12 (pow eps 2)))))))) (/ 1 b)))) a)
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ 1 b)
(+ (/ 1 a) (/ 1 b))
a
(* a (+ 1 (/ b a)))
(/ (+ 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))))
(* a (+ (/ 1 a) (/ 1 b)))
(* a (+ (* 1/12 (/ (pow eps 2) a)) (* eps (- (* 1/8 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (* 1/12 (pow eps 2)))))))
(* (pow a 2) (* eps (- (* 1/8 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (* 1/12 (pow eps 2))))))
(* (pow a 2) (+ (* 1/12 (/ (pow eps 2) a)) (* eps (- (* 1/8 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (* 1/12 (pow eps 2)))))))
(* (pow a 2) (+ (* 1/12 (/ (pow eps 2) a)) (+ (* eps (- (* 1/8 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (* 1/12 (pow eps 2))))) (/ 1 (* (pow a 2) b)))))
(* (pow a 2) (+ (* 1/12 (/ (pow eps 2) a)) (+ (* eps (- (* 1/8 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (* 1/12 (pow eps 2))))) (+ (/ 1 (* (pow a 2) b)) (/ 1 (pow a 3))))))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (+ (* -1 (* eps (- (* 1/8 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (* 1/12 (pow eps 2)))))) (* -1/12 (/ (pow eps 2) a)))))
(* (pow a 2) (+ (* -1 (/ (- (* -1/12 (pow eps 2)) (/ 1 (* a b))) a)) (* eps (- (* 1/8 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (* 1/12 (pow eps 2)))))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (+ (/ 1 a) (/ 1 b)) a)) (* -1/12 (pow eps 2))) a)) (* eps (- (* 1/8 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (* 1/12 (pow eps 2)))))))
(/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b)
(/ (+ 1 (* b (- (+ (* b (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b)
(/ (+ 1 (* b (- (+ (* b (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (* b (- (* 1/6 (/ (* (pow eps 3) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b)
(/ (+ 1 (/ b a)) b)
(/ (+ a b) b)
(/ (+ 1 (* b (+ (* a (+ (* 1/12 (pow eps 2)) (* a (* eps (- (* 1/8 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (* 1/12 (pow eps 2)))))))) (/ 1 a)))) b)
(* b (+ 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)))
(+ (* a (+ (* 1/12 (pow eps 2)) (* a (* eps (- (* 1/8 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (* 1/12 (pow eps 2)))))))) (/ 1 a))
(+ (* a (+ (* 1/12 (pow eps 2)) (* a (* eps (- (* 1/8 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (* 1/12 (pow eps 2)))))))) (+ (/ 1 a) (/ 1 b)))
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))) (/ 1 b))))
0
(* 1/8 (pow eps 2))
(* 1/24 (pow eps 2))
(/ (+ a b) (* a b))
(+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (+ (* 1/6 (/ (pow (+ a b) 3) (* a b))) (* eps (- (* 1/24 (/ (pow (+ a b) 4) (* a b))) (+ (/ (* (+ a b) (+ (* 1/24 (* a (pow b 4))) (+ (* 1/24 (* (pow a 4) b)) (+ (* 1/12 (* (pow a 2) (pow b 3))) (* 1/12 (* (pow a 3) (pow b 2))))))) (* (pow a 2) (pow b 2))) (+ (/ (* (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2))))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b))))) (* a b))))))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(+ (* (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)))
(* 1/12 eps)
(+ (* 1/12 (* a (pow eps 2))) (+ (/ 1 a) (/ 1 b)))
(* 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)))
(* 1/12 (* a (pow eps 2)))
(* (pow eps 2) (+ (* 1/12 a) (+ (/ 1 (* a (pow eps 2))) (/ 1 (* b (pow eps 2))))))
(* -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
(* a (* eps (- (* 1/8 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (* 1/12 (pow eps 2))))))
(.f64 (.f64 #s(literal 0 binary64) eps) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) a)
(/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (.f64 b eps))) #s(literal 1/2 binary64))) a #s(literal 1 binary64)) a)
(/ (+ 1 (* a (- (+ (* a (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a)
(fma.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (.f64 b eps))) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (.f64 b eps))) #s(literal 1/2 binary64))) (.f64 #s(literal 1/2 binary64) eps))) a (.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64)))) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(/ (+ 1 (* a (- (+ (* a (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (* a (- (* 1/6 (/ (* (pow eps 3) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a)
(fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (.f64 b eps))) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (.f64 b eps))) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (.f64 b eps))) #s(literal 1/2 binary64))) (.f64 #s(literal 1/2 binary64) eps))) eps) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) (.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (.f64 b eps))) #s(literal 1/2 binary64)))))) a (-.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (.f64 b eps))) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (.f64 b eps))) #s(literal 1/2 binary64))) (.f64 #s(literal 1/2 binary64) eps)))) a (.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64)))) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(/ (+ 1 (/ a b)) a)
(/.f64 (/.f64 (+.f64 b a) a) b)
b
(+ a b)
(+.f64 b a)
(* a b)
(*.f64 b a)
(/ (+ 1 (* a (+ (* a (* eps (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps))))) (/ 1 b)))) a)
(/.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) a) #s(literal 1/12 binary64) (/.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)
(fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) (fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) (.f64 (.f64 eps eps) #s(literal 1/8 binary64)))) (.f64 a eps) (.f64 #s(literal 1/12 binary64) (*.f64 eps eps))) a (/.f64 #s(literal 1 binary64) b)) #s(literal 1 binary64) (/.f64 #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 (fma.f64 (.f64 (.f64 b a) eps) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) (fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) (.f64 (.f64 eps eps) #s(literal 1/8 binary64)))) (.f64 (.f64 #s(literal 1/12 binary64) (*.f64 eps eps)) b)) a #s(literal 1 binary64)) a b) a)
1
#s(literal 1 binary64)
(+ 1 (/ a b))
(/.f64 (+.f64 b a) b)
(/ a b)
(/.f64 a b)
(* 1/12 (pow eps 2))
(.f64 #s(literal 1/12 binary64) (.f64 eps eps))
(+ (* 1/12 (pow eps 2)) (* a (* eps (- (* 1/8 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (* 1/12 (pow eps 2)))))))
(fma.f64 (.f64 #s(literal 0 binary64) eps) a (.f64 #s(literal 1/12 binary64) (*.f64 eps eps)))
(/ (+ 1 (* a (+ (* 1/12 (* a (pow eps 2))) (/ 1 b)))) a)
(/.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) a) #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) b)) a #s(literal 1 binary64)) a)
(/ (+ 1 (* a (+ (* a (+ (* 1/12 (pow eps 2)) (* a (* eps (- (* 1/8 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (* 1/12 (pow eps 2)))))))) (/ 1 b)))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 0 binary64) eps) a (.f64 #s(literal 1/12 binary64) (*.f64 eps eps))) a (/.f64 #s(literal 1 binary64) b)) a #s(literal 1 binary64)) a)
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(.f64 (/.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) (expm1.f64 (.f64 a eps))) (/.f64 eps (expm1.f64 (.f64 b eps))))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (/ 1 a) (/ 1 b))
(/.f64 (/.f64 (+.f64 b a) a) b)
a
(* a (+ 1 (/ b a)))
(fma.f64 (/.f64 b a) a a)
(/ (+ 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))
(* a (+ (/ 1 a) (/ 1 b)))
(/.f64 (+.f64 b a) b)
(* a (+ (* 1/12 (/ (pow eps 2) a)) (* eps (- (* 1/8 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (* 1/12 (pow eps 2)))))))
(.f64 (fma.f64 (/.f64 (.f64 eps eps) a) #s(literal 1/12 binary64) (*.f64 #s(literal 0 binary64) eps)) a)
(* (pow a 2) (* eps (- (* 1/8 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (* 1/12 (pow eps 2))))))
(.f64 (.f64 (*.f64 a a) #s(literal 0 binary64)) eps)
(* (pow a 2) (+ (* 1/12 (/ (pow eps 2) a)) (* eps (- (* 1/8 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (* 1/12 (pow eps 2)))))))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 eps eps) a) #s(literal 1/12 binary64) (.f64 #s(literal 0 binary64) eps)) a) a)
(* (pow a 2) (+ (* 1/12 (/ (pow eps 2) a)) (+ (* eps (- (* 1/8 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (* 1/12 (pow eps 2))))) (/ 1 (* (pow a 2) b)))))
(.f64 (fma.f64 #s(literal 0 binary64) eps (/.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) eps) eps (/.f64 (/.f64 #s(literal 1 binary64) b) a)) a)) (*.f64 a a))
(* (pow a 2) (+ (* 1/12 (/ (pow eps 2) a)) (+ (* eps (- (* 1/8 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (* 1/12 (pow eps 2))))) (+ (/ 1 (* (pow a 2) b)) (/ 1 (pow a 3))))))
(.f64 (fma.f64 (/.f64 (.f64 eps eps) a) #s(literal 1/12 binary64) (fma.f64 #s(literal 0 binary64) eps (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 b a) a) b) a) a))) (*.f64 a a))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(.f64 (/.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) (expm1.f64 (.f64 a eps))) (/.f64 eps (expm1.f64 (.f64 b eps))))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64)))
(* -1 (* a (+ (* -1 (* eps (- (* 1/8 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (* 1/12 (pow eps 2)))))) (* -1/12 (/ (pow eps 2) a)))))
(.f64 (fma.f64 (/.f64 (.f64 eps eps) a) #s(literal 1/12 binary64) (*.f64 #s(literal 0 binary64) eps)) a)
(* (pow a 2) (+ (* -1 (/ (- (* -1/12 (pow eps 2)) (/ 1 (* a b))) a)) (* eps (- (* 1/8 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (* 1/12 (pow eps 2)))))))
(.f64 (fma.f64 #s(literal 0 binary64) eps (/.f64 (-.f64 (.f64 #s(literal -1/12 binary64) (.f64 eps eps)) (/.f64 (/.f64 #s(literal 1 binary64) b) a)) (neg.f64 a))) (.f64 a a))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (+ (/ 1 a) (/ 1 b)) a)) (* -1/12 (pow eps 2))) a)) (* eps (- (* 1/8 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (* 1/12 (pow eps 2)))))))
(.f64 (fma.f64 #s(literal 0 binary64) eps (/.f64 (fma.f64 (.f64 #s(literal -1/12 binary64) eps) eps (/.f64 (/.f64 (/.f64 (+.f64 b a) a) b) (neg.f64 a))) (neg.f64 a))) (*.f64 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)
(fma.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (.f64 a eps))) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 (.f64 (-.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64)) eps) (.f64 #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)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b))
(/ (+ 1 (* b (- (+ (* b (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (* b (- (* 1/6 (/ (* (pow eps 3) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b)
(fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (.f64 a eps))) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (.f64 a eps))) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 (.f64 (-.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64)) eps) (.f64 #s(literal 1/2 binary64) eps))) eps) #s(literal 1/2 binary64) (.f64 (.f64 (-.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64)) eps) (.f64 #s(literal 1/6 binary64) (.f64 eps eps))))) b (-.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (.f64 a eps))) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 (.f64 (-.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64)) eps) (.f64 #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)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b))
(/ (+ 1 (/ b a)) b)
(/.f64 (/.f64 (+.f64 b a) a) b)
(/ (+ a b) b)
(/.f64 (+.f64 b a) b)
(/ (+ 1 (* b (+ (* a (+ (* 1/12 (pow eps 2)) (* a (* eps (- (* 1/8 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (* 1/12 (pow eps 2)))))))) (/ 1 a)))) b)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 0 binary64) eps) a (.f64 #s(literal 1/12 binary64) (*.f64 eps eps))) a (/.f64 #s(literal 1 binary64) a)) b #s(literal 1 binary64)) b)
(* b (+ 1 (/ a b)))
(fma.f64 (/.f64 a b) b 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))
(+ (* a (+ (* 1/12 (pow eps 2)) (* a (* eps (- (* 1/8 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (* 1/12 (pow eps 2)))))))) (/ 1 a))
(fma.f64 (fma.f64 (.f64 #s(literal 0 binary64) eps) a (.f64 #s(literal 1/12 binary64) (*.f64 eps eps))) a (/.f64 #s(literal 1 binary64) a))
(+ (* a (+ (* 1/12 (pow eps 2)) (* a (* eps (- (* 1/8 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (* 1/12 (pow eps 2)))))))) (+ (/ 1 a) (/ 1 b)))
(fma.f64 (fma.f64 (.f64 #s(literal 0 binary64) eps) a (.f64 #s(literal 1/12 binary64) (*.f64 eps eps))) a (/.f64 (/.f64 (+.f64 b a) 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)) (expm1.f64 (.f64 a eps))) (/.f64 eps (expm1.f64 (.f64 b eps))))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64)))
(* -1 (* b (- (* -1 (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))) (/ 1 b))))
(.f64 (neg.f64 b) (-.f64 (.f64 (neg.f64 eps) (-.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) b)))
0
#s(literal 0 binary64)
(* 1/8 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/8 binary64))
(* 1/24 (pow eps 2))
(.f64 #s(literal 1/24 binary64) (.f64 eps eps))
(/ (+ a b) (* a b))
(/.f64 (/.f64 (+.f64 b a) a) b)
(+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a) (.f64 (neg.f64 (+.f64 b a)) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (fma.f64 (.f64 b b) a (.f64 (.f64 a a) b)) b)) (.f64 a a)))) eps (/.f64 (/.f64 (+.f64 b a) a) b))
(+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(fma.f64 (fma.f64 (-.f64 (.f64 (/.f64 #s(literal 1/6 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 3 binary64)) a)) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (.f64 b b) a (.f64 (.f64 a a) b)) a)) (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a) (.f64 (neg.f64 (+.f64 b a)) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (fma.f64 (.f64 b b) a (.f64 (.f64 a a) b)) b)) (.f64 a a)))) (/.f64 (.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (pow.f64 b #s(literal 3 binary64)) a (.f64 (pow.f64 a #s(literal 3 binary64)) b)) (.f64 (.f64 (.f64 (.f64 b b) a) a) #s(literal 1/4 binary64))) a) (/.f64 (+.f64 b a) a)) b)) b)) eps (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a) (.f64 (neg.f64 (+.f64 b a)) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (fma.f64 (.f64 b b) a (.f64 (.f64 a a) b)) b)) (*.f64 a a))))) eps (/.f64 (/.f64 (+.f64 b a) a) b))
(+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (+ (* 1/6 (/ (pow (+ a b) 3) (* a b))) (* eps (- (* 1/24 (/ (pow (+ a b) 4) (* a b))) (+ (/ (* (+ a b) (+ (* 1/24 (* a (pow b 4))) (+ (* 1/24 (* (pow a 4) b)) (+ (* 1/12 (* (pow a 2) (pow b 3))) (* 1/12 (* (pow a 3) (pow b 2))))))) (* (pow a 2) (pow b 2))) (+ (/ (* (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2))))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b))))) (* a b))))))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (/.f64 #s(literal 1/24 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 4 binary64)) a)) (/.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (.f64 (/.f64 #s(literal 1/6 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 3 binary64)) a)) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (.f64 b b) a (.f64 (.f64 a a) b)) a)) (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a) (.f64 (neg.f64 (+.f64 b a)) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (fma.f64 (.f64 b b) a (.f64 (.f64 a a) b)) b)) (.f64 a a)))) (/.f64 (.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (pow.f64 b #s(literal 3 binary64)) a (.f64 (pow.f64 a #s(literal 3 binary64)) b)) (.f64 (.f64 (.f64 (.f64 b b) a) a) #s(literal 1/4 binary64))) a) (/.f64 (+.f64 b a) a)) b)) b)) (.f64 (fma.f64 (.f64 b b) a (.f64 (.f64 a a) b)) #s(literal 1/2 binary64)) (.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (pow.f64 b #s(literal 3 binary64)) a (.f64 (pow.f64 a #s(literal 3 binary64)) b)) (.f64 (.f64 (.f64 (.f64 b b) a) a) #s(literal 1/4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a) (.f64 (neg.f64 (+.f64 b a)) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (fma.f64 (.f64 b b) a (.f64 (.f64 a a) b)) b)) (.f64 a a)))))) a) (/.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 b #s(literal 4 binary64)) a (.f64 (pow.f64 a #s(literal 4 binary64)) b)) (.f64 (fma.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) b) b (.f64 (.f64 (pow.f64 b #s(literal 3 binary64)) a) a)) #s(literal 1/12 binary64))) (/.f64 (/.f64 (+.f64 b a) a) a)) b)) b)) eps (-.f64 (.f64 (/.f64 #s(literal 1/6 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 3 binary64)) a)) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (.f64 b b) a (.f64 (.f64 a a) b)) a)) (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a) (.f64 (neg.f64 (+.f64 b a)) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (fma.f64 (.f64 b b) a (.f64 (.f64 a a) b)) b)) (.f64 a a)))) (/.f64 (.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (pow.f64 b #s(literal 3 binary64)) a (.f64 (pow.f64 a #s(literal 3 binary64)) b)) (.f64 (.f64 (.f64 (.f64 b b) a) a) #s(literal 1/4 binary64))) a) (/.f64 (+.f64 b a) a)) b)) b))) eps (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a) (.f64 (neg.f64 (+.f64 b a)) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (fma.f64 (.f64 b b) a (.f64 (.f64 a a) b)) b)) (*.f64 a a))))) eps (/.f64 (/.f64 (+.f64 b a) a) b))
(+ (* (pow eps 2) (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))) (+ (/ 1 a) (/ 1 b)))
(fma.f64 (.f64 (.f64 eps eps) a) #s(literal 1/12 binary64) (/.f64 (/.f64 (+.f64 b a) a) 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)))
(fma.f64 (fma.f64 (-.f64 (.f64 (.f64 a a) #s(literal 1/8 binary64)) (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) a) a) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/12 binary64) a) a))) eps (.f64 #s(literal 1/12 binary64) a)) (.f64 eps eps) (/.f64 (/.f64 (+.f64 b a) a) 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)))
(fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/30 binary64)) (fma.f64 #s(literal 1/48 binary64) (pow.f64 a #s(literal 3 binary64)) (fma.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/12 binary64)) #s(literal 1/6 binary64) (.f64 (-.f64 (.f64 (.f64 a a) #s(literal 1/8 binary64)) (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) a) a) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/12 binary64) a) a))) (.f64 #s(literal 1/2 binary64) a))))) eps (.f64 (.f64 #s(literal 1/6 binary64) a) a)) (fma.f64 (.f64 a a) #s(literal 1/8 binary64) (.f64 (.f64 (.f64 #s(literal 1/12 binary64) a) a) #s(literal 1/2 binary64)))) eps (.f64 #s(literal 1/12 binary64) a)) (.f64 eps eps) (/.f64 (/.f64 (+.f64 b a) a) b))
(+ 1 (/ b a))
(/.f64 (+.f64 b a) a)
(+ 1 (+ (* b (* (pow eps 2) (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a))))) (/ b a)))
(fma.f64 (.f64 (.f64 (*.f64 eps eps) a) #s(literal 1/12 binary64)) b (/.f64 (+.f64 b a) 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)))
(fma.f64 (.f64 (.f64 eps eps) b) (fma.f64 (-.f64 (.f64 (.f64 a a) #s(literal 1/8 binary64)) (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) a) a) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/12 binary64) a) a))) eps (*.f64 #s(literal 1/12 binary64) a)) (/.f64 (+.f64 b a) 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)))
(fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) a) b (.f64 (.f64 b eps) (-.f64 (fma.f64 (-.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/30 binary64)) (fma.f64 #s(literal 1/48 binary64) (pow.f64 a #s(literal 3 binary64)) (fma.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/12 binary64)) #s(literal 1/6 binary64) (.f64 (-.f64 (.f64 (.f64 a a) #s(literal 1/8 binary64)) (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) a) a) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/12 binary64) a) a))) (.f64 #s(literal 1/2 binary64) a))))) eps (.f64 (.f64 #s(literal 1/6 binary64) a) a)) (fma.f64 (.f64 a a) #s(literal 1/8 binary64) (.f64 (.f64 (.f64 #s(literal 1/12 binary64) a) a) #s(literal 1/2 binary64)))))) (.f64 eps eps) (/.f64 (+.f64 b a) a))
(* 1/12 eps)
(*.f64 #s(literal 1/12 binary64) eps)
(+ (* 1/12 (* a (pow eps 2))) (+ (/ 1 a) (/ 1 b)))
(fma.f64 (.f64 (.f64 eps eps) a) #s(literal 1/12 binary64) (/.f64 (/.f64 (+.f64 b a) a) b))
(* 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 a eps))) (-.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 a eps))) #s(literal 1/2 binary64)) eps) b #s(literal 1 binary64))
(* 1/12 (* a (pow eps 2)))
(.f64 (.f64 (*.f64 eps eps) a) #s(literal 1/12 binary64))
(* (pow eps 2) (+ (* 1/12 a) (+ (/ 1 (* a (pow eps 2))) (/ 1 (* b (pow eps 2))))))
(.f64 (fma.f64 #s(literal 1/12 binary64) a (/.f64 (/.f64 (/.f64 (+.f64 b a) a) b) (.f64 eps eps))) (*.f64 eps eps))
(* -1 (* eps (- (* -1 (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) (/ 1 (* b eps)))))
(.f64 (neg.f64 eps) (-.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) b) eps)))
(* -1 (* eps (- (* -1 (* b (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))) (/ 1 eps))))
(.f64 (neg.f64 eps) (-.f64 (.f64 (neg.f64 b) (-.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) eps)))

rewrite236.0ms (1%)

Memory

22.1MiB live, 244.8MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	380
0	88	379
1	383	342
2	2893	342
0	9878	307

Stop Event

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

Counts

23 → 647

Calls

Call 1

Inputs
(-.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) (.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) (.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)))
(.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) (.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)))) (.f64 a eps))
(.f64 (.f64 #s(literal 1/12 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
(/.f64 (+.f64 b a) (*.f64 b a))
(+.f64 b a)
(*.f64 b a)
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) (/.f64 b a)) b))
(/.f64 #s(approx (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) (/.f64 b a)) b)
#s(approx (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) (/.f64 b a))
(/.f64 b a)
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a))
(/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a)
#s(approx (/ (+ b a) b) (/.f64 a b))
(/.f64 a b)
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a))
(/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a)
(+.f64 (/.f64 a b) #s(literal 1 binary64))
(*.f64 #s(literal 1/12 binary64) eps)
(.f64 #s(literal 1/12 binary64) (.f64 eps eps))
(fma.f64 (.f64 #s(literal 1/12 binary64) eps) eps (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) (.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)))) (*.f64 a eps)))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) eps) eps (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) (.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)))) (*.f64 a eps))) a (/.f64 #s(literal 1 binary64) b)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))

Outputs
(/.f64 (-.f64 (-.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/64 binary64)) (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/144 binary64))) (-.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/64 binary64)) (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/144 binary64)))) (fma.f64 (.f64 #s(literal 1/8 binary64) eps) eps (.f64 #s(literal 1/12 binary64) (*.f64 eps eps))))
(/.f64 (-.f64 (-.f64 (.f64 #s(literal 1/512 binary64) (pow.f64 eps #s(literal 6 binary64))) (.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 1/1728 binary64))) (-.f64 (.f64 #s(literal 1/512 binary64) (pow.f64 eps #s(literal 6 binary64))) (.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 1/1728 binary64)))) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/64 binary64) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/144 binary64) (.f64 (.f64 #s(literal 1/8 binary64) (.f64 eps eps)) (.f64 #s(literal 1/12 binary64) (*.f64 eps eps))))))
(/.f64 (-.f64 (.f64 #s(literal 1/576 binary64) (pow.f64 eps #s(literal 4 binary64))) (.f64 #s(literal 1/576 binary64) (pow.f64 eps #s(literal 4 binary64)))) (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) (.f64 #s(literal 1/24 binary64) (*.f64 eps eps))))
(/.f64 (-.f64 (.f64 #s(literal 1/13824 binary64) (pow.f64 eps #s(literal 6 binary64))) (.f64 #s(literal 1/13824 binary64) (pow.f64 eps #s(literal 6 binary64)))) (fma.f64 #s(literal 1/576 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 1/576 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 1/576 binary64) (pow.f64 eps #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/64 binary64)) (.f64 #s(literal 9/4 binary64) (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/144 binary64))))) (neg.f64 (fma.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) (.f64 #s(literal 1/8 binary64) (*.f64 eps eps)))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/512 binary64) (pow.f64 eps #s(literal 6 binary64))) (.f64 #s(literal 27/8 binary64) (.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 1/1728 binary64))))) (neg.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/64 binary64) (.f64 (.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/12 binary64) (.f64 eps eps))) (fma.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) (.f64 #s(literal 1/8 binary64) (*.f64 eps eps)))))))
(/.f64 (-.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/64 binary64)) (.f64 #s(literal 9/4 binary64) (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/144 binary64)))) (fma.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) (.f64 #s(literal 1/8 binary64) (*.f64 eps eps))))
(/.f64 (-.f64 (.f64 #s(literal 1/512 binary64) (pow.f64 eps #s(literal 6 binary64))) (.f64 #s(literal 27/8 binary64) (.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 1/1728 binary64)))) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/64 binary64) (.f64 (.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/12 binary64) (.f64 eps eps))) (fma.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) (.f64 #s(literal 1/8 binary64) (*.f64 eps eps))))))
(fma.f64 (fabs.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) eps))) eps (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/12 binary64) (*.f64 eps eps))))
(fma.f64 (fabs.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) eps))) eps (.f64 #s(literal -1/12 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))
(fma.f64 (fabs.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) eps))) eps (neg.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps))))
(fma.f64 (fabs.f64 (.f64 #s(literal 1/2 binary64) eps)) (fabs.f64 (.f64 #s(literal 1/12 binary64) eps)) (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/12 binary64) (*.f64 eps eps))))
(fma.f64 (fabs.f64 (.f64 #s(literal 1/2 binary64) eps)) (fabs.f64 (.f64 #s(literal 1/12 binary64) eps)) (.f64 #s(literal -1/12 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))
(fma.f64 (fabs.f64 (.f64 #s(literal 1/2 binary64) eps)) (fabs.f64 (.f64 #s(literal 1/12 binary64) eps)) (neg.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps))))
(fma.f64 (fabs.f64 (.f64 #s(literal 1/12 binary64) eps)) (fabs.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/12 binary64) (*.f64 eps eps))))
(fma.f64 (fabs.f64 (.f64 #s(literal 1/12 binary64) eps)) (fabs.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 #s(literal -1/12 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))
(fma.f64 (fabs.f64 (.f64 #s(literal 1/12 binary64) eps)) (fabs.f64 (.f64 eps #s(literal 1/2 binary64))) (neg.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps))))
(fma.f64 (fabs.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps eps))) #s(literal 1/12 binary64) (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/12 binary64) (*.f64 eps eps))))
(fma.f64 (fabs.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps eps))) #s(literal 1/12 binary64) (.f64 #s(literal -1/12 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))
(fma.f64 (fabs.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps eps))) #s(literal 1/12 binary64) (neg.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) eps)) eps (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/12 binary64) (*.f64 eps eps))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) eps)) eps (.f64 #s(literal -1/12 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) eps)) eps (neg.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps))))
(fma.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 #s(literal 1/12 binary64) eps) (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/12 binary64) (*.f64 eps eps))))
(fma.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 #s(literal 1/12 binary64) eps) (.f64 #s(literal -1/12 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))
(fma.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 #s(literal 1/12 binary64) eps) (neg.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps))))
(fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/12 binary64) (.f64 eps eps))))
(fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) (.f64 #s(literal -1/12 binary64) (.f64 #s(literal 1/2 binary64) (.f64 eps eps))))
(fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) (neg.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps eps)) #s(literal 1/12 binary64) (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/12 binary64) (*.f64 eps eps))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps eps)) #s(literal 1/12 binary64) (.f64 #s(literal -1/12 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps eps)) #s(literal 1/12 binary64) (neg.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps))))
(fma.f64 (.f64 #s(literal 1/12 binary64) eps) (.f64 eps #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/12 binary64) (*.f64 eps eps))))
(fma.f64 (.f64 #s(literal 1/12 binary64) eps) (.f64 eps #s(literal 1/2 binary64)) (.f64 #s(literal -1/12 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))
(fma.f64 (.f64 #s(literal 1/12 binary64) eps) (.f64 eps #s(literal 1/2 binary64)) (neg.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps))))
(fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/12 binary64) (*.f64 eps eps))))
(fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) (.f64 #s(literal -1/12 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))
(fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) (neg.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps))))
(fma.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/12 binary64) (*.f64 eps eps))))
(fma.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))
(fma.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64) (neg.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps))))
(fma.f64 #s(literal 1/12 binary64) (fabs.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps eps))) (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/12 binary64) (*.f64 eps eps))))
(fma.f64 #s(literal 1/12 binary64) (fabs.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps eps))) (.f64 #s(literal -1/12 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))
(fma.f64 #s(literal 1/12 binary64) (fabs.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps eps))) (neg.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps))))
(fma.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/12 binary64) (*.f64 eps eps))))
(fma.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (.f64 #s(literal -1/12 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))
(fma.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (neg.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps))))
(fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/12 binary64) (.f64 eps eps))))
(fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) (.f64 #s(literal -1/12 binary64) (.f64 #s(literal 1/2 binary64) (.f64 eps eps))))
(fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) (neg.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps))))
(fma.f64 eps (fabs.f64 (.f64 (.f64 #s(literal 1/12 binary64) eps) #s(literal 1/2 binary64))) (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/12 binary64) (*.f64 eps eps))))
(fma.f64 eps (fabs.f64 (.f64 (.f64 #s(literal 1/12 binary64) eps) #s(literal 1/2 binary64))) (.f64 #s(literal -1/12 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))
(fma.f64 eps (fabs.f64 (.f64 (.f64 #s(literal 1/12 binary64) eps) #s(literal 1/2 binary64))) (neg.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps))))
(fma.f64 eps (fabs.f64 (-.f64 (.f64 #s(literal 1/8 binary64) eps) (.f64 #s(literal 1/12 binary64) eps))) (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/12 binary64) (*.f64 eps eps))))
(fma.f64 eps (fabs.f64 (-.f64 (.f64 #s(literal 1/8 binary64) eps) (.f64 #s(literal 1/12 binary64) eps))) (.f64 #s(literal -1/12 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))
(fma.f64 eps (fabs.f64 (-.f64 (.f64 #s(literal 1/8 binary64) eps) (.f64 #s(literal 1/12 binary64) eps))) (neg.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps))))
(fma.f64 eps (.f64 (.f64 #s(literal 1/12 binary64) eps) #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/12 binary64) (*.f64 eps eps))))
(fma.f64 eps (.f64 (.f64 #s(literal 1/12 binary64) eps) #s(literal 1/2 binary64)) (.f64 #s(literal -1/12 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))
(fma.f64 eps (.f64 (.f64 #s(literal 1/12 binary64) eps) #s(literal 1/2 binary64)) (neg.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps))))
(fma.f64 eps (-.f64 (.f64 #s(literal 1/8 binary64) eps) (.f64 #s(literal 1/12 binary64) eps)) (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/12 binary64) (*.f64 eps eps))))
(fma.f64 eps (-.f64 (.f64 #s(literal 1/8 binary64) eps) (.f64 #s(literal 1/12 binary64) eps)) (.f64 #s(literal -1/12 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))
(fma.f64 eps (-.f64 (.f64 #s(literal 1/8 binary64) eps) (.f64 #s(literal 1/12 binary64) eps)) (neg.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps))))
(-.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 eps eps)) (.f64 #s(literal 1/24 binary64) (.f64 eps eps))) (.f64 #s(literal 1/12 binary64) (.f64 eps eps)))
(-.f64 (/.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/64 binary64)) (fma.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) (.f64 #s(literal 1/8 binary64) (.f64 eps eps)))) (/.f64 (.f64 #s(literal 9/4 binary64) (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/144 binary64))) (fma.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) (.f64 #s(literal 1/8 binary64) (*.f64 eps eps)))))
(-.f64 (/.f64 (.f64 #s(literal 1/512 binary64) (pow.f64 eps #s(literal 6 binary64))) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/64 binary64) (.f64 (.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/12 binary64) (.f64 eps eps))) (fma.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) (.f64 #s(literal 1/8 binary64) (.f64 eps eps)))))) (/.f64 (.f64 #s(literal 27/8 binary64) (.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 1/1728 binary64))) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/64 binary64) (.f64 (.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/12 binary64) (.f64 eps eps))) (fma.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) (.f64 #s(literal 1/8 binary64) (*.f64 eps eps)))))))
(-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) (.f64 #s(literal 1/24 binary64) (.f64 eps eps)))
(-.f64 (.f64 #s(literal 1/8 binary64) (.f64 eps eps)) (.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/12 binary64) (*.f64 eps eps))))
(+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/12 binary64) (*.f64 eps eps))))
(+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) (.f64 #s(literal -1/12 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))
(+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) (neg.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps))))
(.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/12 binary64) (*.f64 eps eps)))
(.f64 #s(literal 1/12 binary64) (fabs.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 eps eps) (*.f64 eps eps))))
(.f64 #s(literal 1/12 binary64) (fabs.f64 (fma.f64 eps eps (.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))))
(.f64 #s(literal 1/12 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 eps eps) (*.f64 eps eps)))
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(fma.f64 (neg.f64 (pow.f64 b #s(literal -1/2 binary64))) (neg.f64 (pow.f64 b #s(literal -1/2 binary64))) (fma.f64 (.f64 eps (fma.f64 a (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) (.f64 #s(literal 1/24 binary64) (.f64 eps eps))) (.f64 #s(literal 1/12 binary64) eps))) a (pow.f64 a #s(literal -1 binary64))))
(fma.f64 (fabs.f64 (pow.f64 a #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 a #s(literal -1/2 binary64))) (fma.f64 (.f64 eps (fma.f64 a (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) (.f64 #s(literal 1/24 binary64) (.f64 eps eps))) (.f64 #s(literal 1/12 binary64) eps))) a (pow.f64 b #s(literal -1 binary64))))
(fma.f64 (fabs.f64 (pow.f64 b #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 b #s(literal -1/2 binary64))) (fma.f64 (.f64 eps (fma.f64 a (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) (.f64 #s(literal 1/24 binary64) (.f64 eps eps))) (.f64 #s(literal 1/12 binary64) eps))) a (pow.f64 a #s(literal -1 binary64))))
(fma.f64 (pow.f64 a #s(literal -1/2 binary64)) (pow.f64 a #s(literal -1/2 binary64)) (fma.f64 (.f64 eps (fma.f64 a (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) (.f64 #s(literal 1/24 binary64) (.f64 eps eps))) (.f64 #s(literal 1/12 binary64) eps))) a (pow.f64 b #s(literal -1 binary64))))
(fma.f64 (pow.f64 b #s(literal -1/2 binary64)) (pow.f64 b #s(literal -1/2 binary64)) (fma.f64 (.f64 eps (fma.f64 a (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) (.f64 #s(literal 1/24 binary64) (.f64 eps eps))) (.f64 #s(literal 1/12 binary64) eps))) a (pow.f64 a #s(literal -1 binary64))))
(fma.f64 (fma.f64 (.f64 eps (fma.f64 a (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) (.f64 #s(literal 1/24 binary64) (.f64 eps eps))) (.f64 #s(literal 1/12 binary64) eps))) a (pow.f64 b #s(literal -1 binary64))) #s(literal 1 binary64) (pow.f64 a #s(literal -1 binary64)))
(fma.f64 (.f64 eps (fma.f64 a (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) (.f64 #s(literal 1/24 binary64) (.f64 eps eps))) (.f64 #s(literal 1/12 binary64) eps))) a (+.f64 (pow.f64 b #s(literal -1 binary64)) (pow.f64 a #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 (.f64 eps (fma.f64 a (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) (.f64 #s(literal 1/24 binary64) (.f64 eps eps))) (.f64 #s(literal 1/12 binary64) eps))) a (pow.f64 b #s(literal -1 binary64))) (pow.f64 a #s(literal -1 binary64)))
(fma.f64 a (.f64 eps (fma.f64 a (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) (.f64 #s(literal 1/24 binary64) (.f64 eps eps))) (.f64 #s(literal 1/12 binary64) eps))) (+.f64 (pow.f64 b #s(literal -1 binary64)) (pow.f64 a #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (.f64 eps (fma.f64 a (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) (.f64 #s(literal 1/24 binary64) (.f64 eps eps))) (.f64 #s(literal 1/12 binary64) eps))) a (pow.f64 b #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 (.f64 eps (fma.f64 a (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) (.f64 #s(literal 1/24 binary64) (.f64 eps eps))) (.f64 #s(literal 1/12 binary64) eps))) a (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) b))) (/.f64 (pow.f64 a #s(literal -2 binary64)) (fma.f64 (.f64 eps (fma.f64 a (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) (.f64 #s(literal 1/24 binary64) (.f64 eps eps))) (.f64 #s(literal 1/12 binary64) eps))) a (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) b))))
(-.f64 (pow.f64 a #s(literal -1 binary64)) (.f64 (neg.f64 (fma.f64 (.f64 eps (fma.f64 a (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) (.f64 #s(literal 1/24 binary64) (.f64 eps eps))) (*.f64 #s(literal 1/12 binary64) eps))) a (pow.f64 b #s(literal -1 binary64)))) #s(literal 1 binary64)))
(-.f64 (pow.f64 a #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (fma.f64 (.f64 eps (fma.f64 a (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) (.f64 #s(literal 1/24 binary64) (.f64 eps eps))) (*.f64 #s(literal 1/12 binary64) eps))) a (pow.f64 b #s(literal -1 binary64)))))
(+.f64 (+.f64 (pow.f64 a #s(literal -1 binary64)) (.f64 (.f64 eps (fma.f64 a (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) (.f64 #s(literal 1/24 binary64) (.f64 eps eps))) (*.f64 #s(literal 1/12 binary64) eps))) a)) (pow.f64 b #s(literal -1 binary64)))
(+.f64 (+.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64))) (.f64 (.f64 eps (fma.f64 a (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) (.f64 #s(literal 1/24 binary64) (.f64 eps eps))) (*.f64 #s(literal 1/12 binary64) eps))) a))
(+.f64 (/.f64 (pow.f64 (fma.f64 (.f64 eps (fma.f64 a (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) (.f64 #s(literal 1/24 binary64) (.f64 eps eps))) (.f64 #s(literal 1/12 binary64) eps))) a (pow.f64 b #s(literal -1 binary64))) #s(literal 3 binary64)) (+.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (/.f64 (fma.f64 (.f64 eps (fma.f64 a (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) (.f64 #s(literal 1/24 binary64) (.f64 eps eps))) (.f64 #s(literal 1/12 binary64) eps))) a (pow.f64 b #s(literal -1 binary64))) a)) (pow.f64 (fma.f64 (.f64 eps (fma.f64 a (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) (.f64 #s(literal 1/24 binary64) (.f64 eps eps))) (.f64 #s(literal 1/12 binary64) eps))) a (pow.f64 b #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 a #s(literal -3 binary64)) (+.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (/.f64 (fma.f64 (.f64 eps (fma.f64 a (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) (.f64 #s(literal 1/24 binary64) (.f64 eps eps))) (.f64 #s(literal 1/12 binary64) eps))) a (pow.f64 b #s(literal -1 binary64))) a)) (pow.f64 (fma.f64 (.f64 eps (fma.f64 a (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) (.f64 #s(literal 1/24 binary64) (.f64 eps eps))) (.f64 #s(literal 1/12 binary64) eps))) a (pow.f64 b #s(literal -1 binary64))) #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 eps (fma.f64 a (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) (.f64 #s(literal 1/24 binary64) (.f64 eps eps))) (*.f64 #s(literal 1/12 binary64) eps))) a) (+.f64 (pow.f64 b #s(literal -1 binary64)) (pow.f64 a #s(literal -1 binary64))))
(+.f64 (fma.f64 (.f64 eps (fma.f64 a (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) (.f64 #s(literal 1/24 binary64) (.f64 eps eps))) (.f64 #s(literal 1/12 binary64) eps))) a (pow.f64 b #s(literal -1 binary64))) (pow.f64 a #s(literal -1 binary64)))
(+.f64 (pow.f64 a #s(literal -1 binary64)) (fma.f64 (.f64 eps (fma.f64 a (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) (.f64 #s(literal 1/24 binary64) (.f64 eps eps))) (.f64 #s(literal 1/12 binary64) eps))) a (pow.f64 b #s(literal -1 binary64))))
(+.f64 (pow.f64 b #s(literal -1 binary64)) (fma.f64 (.f64 eps (fma.f64 a (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) (.f64 #s(literal 1/24 binary64) (.f64 eps eps))) (.f64 #s(literal 1/12 binary64) eps))) a (pow.f64 a #s(literal -1 binary64))))

eval142.0ms (0.6%)

Memory: -38.9MiB live, 207.6MiB allocated; 48ms collecting garbage
Compiler: Compiled 56 314 to 3 906 computations (93.1% saved)

prune14.0ms (0.1%)

Memory

-7.7MiB live, 38.9MiB allocated; 3ms collecting garbage

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	633	2	635
Fresh	2	0	2
Picked	1	4	5
Done	0	2	2
Total	636	8	644

Accuracy

100.0%

Counts

644 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a))
✓	60.2%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
✓	46.5%	#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))
✓	52.2%	#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 b a)) b))
▶	60.1%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ b a) (fma.f64 (/.f64 b a) a a)) (*.f64 b a)))
✓	46.7%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
✓	52.4%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
▶	100.0%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) b) (fma.f64 (fma.f64 #s(approx (+ (* (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) (.f64 #s(literal 1/12 binary64) (.f64 eps eps))) a (/.f64 #s(literal 1 binary64) b)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))))

Compiler

Compiled 337 to 215 computations (36.2% saved)

simplify146.0ms (0.6%)

Memory

43.6MiB live, 183.6MiB allocated; 17ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ b a) (fma.f64 (/.f64 b a) a a))
cost-diff	0	(/.f64 #s(approx (+ b a) (fma.f64 (/.f64 b a) a a)) (*.f64 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) (fma.f64 (/.f64 b a) a a)) (*.f64 b a)))
cost-diff	3	(fma.f64 (/.f64 b a) a a)
cost-diff	0	(fma.f64 #s(approx (+ (* (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) (.f64 #s(literal 1/12 binary64) (.f64 eps eps))) a (/.f64 #s(literal 1 binary64) b))
cost-diff	0	#s(approx (/ (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) b) (fma.f64 (fma.f64 #s(approx (+ (* (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) (.f64 #s(literal 1/12 binary64) (.f64 eps eps))) a (/.f64 #s(literal 1 binary64) b)) #s(literal 1 binary64) (/.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))) #s(approx (/ (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) b) (fma.f64 (fma.f64 #s(approx (+ (* (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) (.f64 #s(literal 1/12 binary64) (.f64 eps eps))) a (/.f64 #s(literal 1 binary64) b)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))))
cost-diff	1	(fma.f64 (fma.f64 #s(approx (+ (* (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) (.f64 #s(literal 1/12 binary64) (.f64 eps eps))) a (/.f64 #s(literal 1 binary64) b)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	375
0	72	372
1	164	322
2	465	268
3	1566	236
4	6117	236
0	9162	218

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) b) (fma.f64 (fma.f64 #s(approx (+ (* (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) (.f64 #s(literal 1/12 binary64) (.f64 eps eps))) a (/.f64 #s(literal 1 binary64) b)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))))
#s(approx (/ (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) b) (fma.f64 (fma.f64 #s(approx (+ (* (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) (.f64 #s(literal 1/12 binary64) (.f64 eps eps))) a (/.f64 #s(literal 1 binary64) b)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a)))
(fma.f64 (fma.f64 #s(approx (+ (* (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) (.f64 #s(literal 1/12 binary64) (.f64 eps eps))) a (/.f64 #s(literal 1 binary64) b)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(fma.f64 #s(approx (+ (* (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) (.f64 #s(literal 1/12 binary64) (.f64 eps eps))) a (/.f64 #s(literal 1 binary64) b))
#s(approx (+ (* (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) (.f64 #s(literal 1/12 binary64) (.f64 eps eps)))
(.f64 #s(literal 1/12 binary64) (.f64 eps eps))
#s(literal 1/12 binary64)
(*.f64 eps eps)
eps
a
(/.f64 #s(literal 1 binary64) b)
#s(literal 1 binary64)
b
(/.f64 #s(literal 1 binary64) a)
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ b a) (fma.f64 (/.f64 b a) a a)) (*.f64 b a)))
(/.f64 #s(approx (+ b a) (fma.f64 (/.f64 b a) a a)) (*.f64 b a))
#s(approx (+ b a) (fma.f64 (/.f64 b a) a a))
(fma.f64 (/.f64 b a) a 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))) #s(approx (/ (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) b) (fma.f64 (fma.f64 #s(approx (+ (* (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) (.f64 #s(literal 1/12 binary64) (.f64 eps eps))) 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))) #s(approx (/ (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) b) (+.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 #s(approx (+ (* (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) (.f64 (.f64 #s(literal 1/12 binary64) eps) eps)) a (/.f64 #s(literal 1 binary64) b)))))
#s(approx (/ (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) b) (fma.f64 (fma.f64 #s(approx (+ (* (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) (.f64 #s(literal 1/12 binary64) (.f64 eps eps))) a (/.f64 #s(literal 1 binary64) b)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a)))
#s(approx (/ (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) b) (+.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 #s(approx (+ (* (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) (.f64 (.f64 #s(literal 1/12 binary64) eps) eps)) a (/.f64 #s(literal 1 binary64) b))))
(fma.f64 (fma.f64 #s(approx (+ (* (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) (.f64 #s(literal 1/12 binary64) (.f64 eps eps))) a (/.f64 #s(literal 1 binary64) b)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(+.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 #s(approx (+ (* (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) (.f64 (.f64 #s(literal 1/12 binary64) eps) eps)) a (/.f64 #s(literal 1 binary64) b)))
(fma.f64 #s(approx (+ (* (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) (.f64 #s(literal 1/12 binary64) (.f64 eps eps))) a (/.f64 #s(literal 1 binary64) b))
(fma.f64 #s(approx (+ (* (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) (.f64 (.f64 #s(literal 1/12 binary64) eps) eps)) a (/.f64 #s(literal 1 binary64) b))
#s(approx (+ (* (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) (.f64 #s(literal 1/12 binary64) (.f64 eps eps)))
#s(approx (+ (* (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) (.f64 (.f64 #s(literal 1/12 binary64) eps) eps))
(.f64 #s(literal 1/12 binary64) (.f64 eps eps))
(.f64 (.f64 #s(literal 1/12 binary64) eps) eps)
#s(literal 1/12 binary64)
(*.f64 eps eps)
eps
a
(/.f64 #s(literal 1 binary64) b)
#s(literal 1 binary64)
b
(/.f64 #s(literal 1 binary64) a)
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ b a) (fma.f64 (/.f64 b a) a 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) (+.f64 b a)) (*.f64 b a)))
(/.f64 #s(approx (+ b a) (fma.f64 (/.f64 b a) a a)) (*.f64 b a))
(/.f64 #s(approx (+ b a) (+.f64 b a)) (*.f64 b a))
#s(approx (+ b a) (fma.f64 (/.f64 b a) a a))
#s(approx (+ b a) (+.f64 b a))
(fma.f64 (/.f64 b a) a a)
(+.f64 b a)
(/.f64 b a)
b
a
(*.f64 b a)

localize108.0ms (0.4%)

Memory

11.8MiB live, 146.0MiB allocated; 13ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ b a) (fma.f64 (/.f64 b a) a a)) (*.f64 b a)))
accuracy	0.0	#s(approx (+ b a) (fma.f64 (/.f64 b a) a a))
accuracy	0.0546875	(fma.f64 (/.f64 b a) a a)
accuracy	25.4747470461075	(/.f64 #s(approx (+ b a) (fma.f64 (/.f64 b a) a a)) (*.f64 b a))
accuracy	0.0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) b) (fma.f64 (fma.f64 #s(approx (+ (* (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) (.f64 #s(literal 1/12 binary64) (.f64 eps eps))) a (/.f64 #s(literal 1 binary64) b)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))))
accuracy	0.0	#s(approx (+ (* (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) (.f64 #s(literal 1/12 binary64) (.f64 eps eps)))
accuracy	0.02734375	(fma.f64 (fma.f64 #s(approx (+ (* (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) (.f64 #s(literal 1/12 binary64) (.f64 eps eps))) a (/.f64 #s(literal 1 binary64) b)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
accuracy	0.05859375	(.f64 #s(literal 1/12 binary64) (.f64 eps eps))

Samples

84.0ms	254×	0	valid
4.0ms	2×	5	exit

Compiler

Compiled 220 to 52 computations (76.4% saved)

Precisions

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

ival-mult: 28.0ms (38.6% of total)

ival-add: 13.0ms (17.9% of total)

ival-div: 11.0ms (15.2% of total)

ival-expm1: 7.0ms (9.6% of total)

const: 6.0ms (8.3% of total)

ival-exp: 2.0ms (2.8% of total)

ival-pow: 2.0ms (2.8% of total)

adjust: 1.0ms (1.4% of total)

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

exact: 1.0ms (1.4% of total)

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

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

series48.0ms (0.2%)

Memory

-33.2MiB live, 66.5MiB allocated; 16ms collecting garbage

Counts

10 → 59

Calls

Call 1

Inputs
(fma.f64 (fma.f64 #s(approx (+ (* (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) (.f64 #s(literal 1/12 binary64) (.f64 eps eps))) 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))) #s(approx (/ (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) b) (fma.f64 (fma.f64 #s(approx (+ (* (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) (.f64 #s(literal 1/12 binary64) (.f64 eps eps))) a (/.f64 #s(literal 1 binary64) b)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))))
#s(approx (/ (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) b) (fma.f64 (fma.f64 #s(approx (+ (* (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) (.f64 #s(literal 1/12 binary64) (.f64 eps eps))) a (/.f64 #s(literal 1 binary64) b)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a)))
(fma.f64 #s(approx (+ (* (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) (.f64 #s(literal 1/12 binary64) (.f64 eps eps))) a (/.f64 #s(literal 1 binary64) b))
(fma.f64 (/.f64 b a) a a)
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ b a) (fma.f64 (/.f64 b a) a a)) (*.f64 b a)))
(/.f64 #s(approx (+ b a) (fma.f64 (/.f64 b a) a a)) (*.f64 b a))
#s(approx (+ b a) (fma.f64 (/.f64 b a) a a))
(.f64 #s(literal 1/12 binary64) (.f64 eps eps))
#s(approx (+ (* (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) (.f64 #s(literal 1/12 binary64) (.f64 eps eps)))

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

Calls

9 calls:

Time	Variable		Point	Expression
9.0ms	a	@	inf	((+ (* (+ (* (+ (* (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) a) (/ 1 b)) 1) (/ 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) (+ (* (+ (* (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) a) (/ 1 b)) (+ (* (/ b a) a) a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ b a) (* b a)) (+ b a) (* 1/12 (* eps eps)) (+ (* (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))))
9.0ms	a	@	-inf	((+ (* (+ (* (+ (* (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) a) (/ 1 b)) 1) (/ 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) (+ (* (+ (* (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) a) (/ 1 b)) (+ (* (/ b a) a) a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ b a) (* b a)) (+ b a) (* 1/12 (* eps eps)) (+ (* (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))))
7.0ms	a	@	0	((+ (* (+ (* (+ (* (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) a) (/ 1 b)) 1) (/ 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) (+ (* (+ (* (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) a) (/ 1 b)) (+ (* (/ b a) a) a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ b a) (* b a)) (+ b a) (* 1/12 (* eps eps)) (+ (* (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))))
6.0ms	b	@	-inf	((+ (* (+ (* (+ (* (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) a) (/ 1 b)) 1) (/ 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) (+ (* (+ (* (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) a) (/ 1 b)) (+ (* (/ b a) a) a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ b a) (* b a)) (+ b a) (* 1/12 (* eps eps)) (+ (* (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))))
4.0ms	b	@	inf	((+ (* (+ (* (+ (* (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) a) (/ 1 b)) 1) (/ 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) (+ (* (+ (* (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) a) (/ 1 b)) (+ (* (/ b a) a) a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ b a) (* b a)) (+ b a) (* 1/12 (* eps eps)) (+ (* (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))))

simplify181.0ms (0.7%)

Memory

-2.0MiB live, 180.0MiB allocated; 26ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	366	2187
1	1166	1919
2	4655	1778
0	8206	1614

Stop Event

1×	iter limit
1×	node limit

Counts

59 → 57

Calls

Call 1

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

Outputs
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ (+ 1 (/ a b)) a)
(/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a)
(/ (+ 1 (* a (+ (* 1/12 (* a (pow eps 2))) (/ 1 b)))) a)
(/.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) a) #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) b)) a #s(literal 1 binary64)) a)
(/ (+ 1 (* a (+ (* a (+ (* 1/12 (pow eps 2)) (* a (* eps (- (* 1/8 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (* 1/12 (pow eps 2)))))))) (/ 1 b)))) a)
(/.f64 (fma.f64 (fma.f64 (.f64 eps (fma.f64 a #s(literal 0 binary64) (.f64 #s(literal 1/12 binary64) eps))) a (/.f64 #s(literal 1 binary64) b)) a #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 (-.f64 (.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))) (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 (+ (* a (* eps (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps))))) (/ 1 b)))) a)
(/.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) a) #s(literal 1/12 binary64) (/.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 (.f64 eps eps) #s(literal 1/12 binary64)))) (.f64 #s(literal 1/12 binary64) eps))) a (/.f64 #s(literal 1 binary64) b)) a #s(literal 1 binary64)) a)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (* 1/12 (* a (pow eps 2))) (/ 1 b))
(fma.f64 (.f64 (.f64 eps eps) a) #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) b))
(+ (* a (+ (* 1/12 (pow eps 2)) (* a (* eps (- (* 1/8 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (* 1/12 (pow eps 2)))))))) (/ 1 b))
(fma.f64 (.f64 eps (fma.f64 a #s(literal 0 binary64) (.f64 #s(literal 1/12 binary64) eps))) a (/.f64 #s(literal 1 binary64) b))
b
(+ a b)
(+.f64 b a)
(* 1/12 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/12 binary64))
(+ (* 1/12 (pow eps 2)) (* a (* eps (- (* 1/8 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (* 1/12 (pow eps 2)))))))
(.f64 eps (fma.f64 a #s(literal 0 binary64) (.f64 #s(literal 1/12 binary64) eps)))
(* (pow a 2) (* eps (- (* 1/8 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (* 1/12 (pow eps 2))))))
(.f64 (.f64 (*.f64 #s(literal 0 binary64) eps) a) a)
(* (pow a 2) (+ (* 1/12 (/ (pow eps 2) a)) (* eps (- (* 1/8 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (* 1/12 (pow eps 2)))))))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 eps eps) a) #s(literal 1/12 binary64) (.f64 #s(literal 0 binary64) eps)) a) a)
(* (pow a 2) (+ (* 1/12 (/ (pow eps 2) a)) (+ (* eps (- (* 1/8 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (* 1/12 (pow eps 2))))) (/ 1 (* (pow a 2) b)))))
(.f64 (fma.f64 #s(literal 0 binary64) eps (/.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) eps) eps (/.f64 (/.f64 #s(literal 1 binary64) b) a)) a)) (*.f64 a a))
(* (pow a 2) (+ (* 1/12 (/ (pow eps 2) a)) (+ (* eps (- (* 1/8 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (* 1/12 (pow eps 2))))) (+ (/ 1 (* (pow a 2) b)) (/ 1 (pow a 3))))))
(.f64 (fma.f64 (/.f64 (.f64 eps eps) a) #s(literal 1/12 binary64) (fma.f64 #s(literal 0 binary64) eps (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) (.f64 a a)))) (.f64 a a))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(.f64 (/.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) (expm1.f64 (.f64 a eps))) (/.f64 eps (expm1.f64 (.f64 b eps))))
(/ (+ 1 (* b (* 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)
a
(* a (+ 1 (/ b a)))
(fma.f64 (/.f64 b a) a a)
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(* a (* eps (- (* 1/8 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (* 1/12 (pow eps 2))))))
(.f64 (.f64 #s(literal 0 binary64) eps) a)
(* a (+ (* 1/12 (/ (pow eps 2) a)) (* eps (- (* 1/8 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (* 1/12 (pow eps 2)))))))
(.f64 (fma.f64 (/.f64 (.f64 eps eps) a) #s(literal 1/12 binary64) (*.f64 #s(literal 0 binary64) eps)) a)
(* (pow a 2) (+ (* -1 (/ (- (* -1/12 (pow eps 2)) (/ 1 (* a b))) a)) (* eps (- (* 1/8 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (* 1/12 (pow eps 2)))))))
(.f64 (fma.f64 #s(literal 0 binary64) eps (/.f64 (-.f64 (.f64 #s(literal -1/12 binary64) (.f64 eps eps)) (/.f64 (/.f64 #s(literal 1 binary64) b) a)) (neg.f64 a))) (.f64 a a))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (+ (/ 1 a) (/ 1 b)) a)) (* -1/12 (pow eps 2))) a)) (* eps (- (* 1/8 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (* 1/12 (pow eps 2)))))))
(.f64 (fma.f64 #s(literal 0 binary64) eps (/.f64 (fma.f64 (.f64 #s(literal -1/12 binary64) eps) eps (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal -1 binary64) a)) a)) (neg.f64 a))) (*.f64 a a))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(.f64 (/.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) (expm1.f64 (.f64 a eps))) (/.f64 eps (expm1.f64 (.f64 b eps))))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64)))
(* -1 (* a (+ (* -1 (* eps (- (* 1/8 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (* 1/12 (pow eps 2)))))) (* -1/12 (/ (pow eps 2) a)))))
(.f64 (fma.f64 (/.f64 (.f64 eps eps) a) #s(literal 1/12 binary64) (*.f64 #s(literal 0 binary64) eps)) a)
(/ (+ 1 (* b (+ (* a (+ (* 1/12 (pow eps 2)) (* a (* eps (- (* 1/8 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (* 1/12 (pow eps 2)))))))) (/ 1 a)))) b)
(/.f64 (fma.f64 (fma.f64 (.f64 eps (fma.f64 a #s(literal 0 binary64) (.f64 #s(literal 1/12 binary64) eps))) a (/.f64 #s(literal 1 binary64) a)) b #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 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 (-.f64 (.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))) (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 (* a (* b (+ (* 1/12 (pow eps 2)) (* a (* eps (- (* 1/8 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (* 1/12 (pow eps 2)))))))))) b)
(/.f64 (fma.f64 (.f64 (.f64 eps (fma.f64 a #s(literal 0 binary64) (*.f64 #s(literal 1/12 binary64) eps))) b) a #s(literal 1 binary64)) b)
(/ (+ 1 (/ b a)) b)
(/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b)
(+ (* a (+ (* 1/12 (pow eps 2)) (* a (* eps (- (* 1/8 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (* 1/12 (pow eps 2)))))))) (/ 1 a))
(fma.f64 (.f64 eps (fma.f64 a #s(literal 0 binary64) (.f64 #s(literal 1/12 binary64) eps))) a (/.f64 #s(literal 1 binary64) a))
(+ (* a (+ (* 1/12 (pow eps 2)) (* a (* eps (- (* 1/8 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (* 1/12 (pow eps 2)))))))) (+ (/ 1 a) (/ 1 b)))
(fma.f64 (.f64 eps (fma.f64 a #s(literal 0 binary64) (.f64 #s(literal 1/12 binary64) eps))) a (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))
(* 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))
(* a (+ (* 1/12 (pow eps 2)) (* a (* eps (- (* 1/8 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (* 1/12 (pow eps 2))))))))
(.f64 (.f64 eps (fma.f64 a #s(literal 0 binary64) (*.f64 #s(literal 1/12 binary64) eps))) a)
(* b (+ 1 (/ a b)))
(fma.f64 (/.f64 a b) b b)
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(.f64 (/.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) (expm1.f64 (.f64 a eps))) (/.f64 eps (expm1.f64 (.f64 b eps))))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64)))
(+ (* 1/12 (* a (pow eps 2))) (+ (/ 1 a) (/ 1 b)))
(fma.f64 (.f64 a (.f64 eps #s(literal 1/12 binary64))) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))
(/ (+ 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) (+.f64 b a)) #s(literal 1/2 binary64)) (/.f64 (+.f64 b a) (.f64 (.f64 (.f64 b b) a) 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 #s(literal 1/6 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 3 binary64)) a)) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 b a) (+.f64 b a)) a)) (-.f64 (.f64 (/.f64 #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)) #s(literal 1/2 binary64)) (/.f64 (+.f64 b a) (.f64 (.f64 (.f64 b b) a) a)))) (/.f64 (.f64 (/.f64 (+.f64 b a) 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))))) a)) b)) 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) (+.f64 b a)) #s(literal 1/2 binary64)) (/.f64 (+.f64 b a) (.f64 (.f64 (.f64 b b) a) 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)) (/.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (.f64 (/.f64 #s(literal 1/6 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 3 binary64)) a)) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 b a) (+.f64 b a)) a)) (-.f64 (.f64 (/.f64 #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)) #s(literal 1/2 binary64)) (/.f64 (+.f64 b a) (.f64 (.f64 (.f64 b b) a) a)))) (/.f64 (.f64 (/.f64 (+.f64 b a) 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))))) a)) b)) b)) (.f64 (.f64 (.f64 b a) (+.f64 b a)) #s(literal 1/2 binary64)) (.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 (.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)) #s(literal 1/2 binary64)) (/.f64 (+.f64 b a) (.f64 (.f64 (.f64 b b) a) a)))))) a) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 b b) a) a) (+.f64 b a)) #s(literal 1/12 binary64) (.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 a #s(literal 4 binary64)) b (.f64 (pow.f64 b #s(literal 4 binary64)) a)))) (/.f64 (/.f64 (+.f64 b a) a) a)) b)) b)) eps (-.f64 (.f64 (/.f64 #s(literal 1/6 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 3 binary64)) a)) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 b a) (+.f64 b a)) a)) (-.f64 (.f64 (/.f64 #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)) #s(literal 1/2 binary64)) (/.f64 (+.f64 b a) (.f64 (.f64 (.f64 b b) a) a)))) (/.f64 (.f64 (/.f64 (+.f64 b a) 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))))) a)) b)) 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) (+.f64 b a)) #s(literal 1/2 binary64)) (/.f64 (+.f64 b a) (.f64 (.f64 (*.f64 b b) a) 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 a (.f64 eps #s(literal 1/12 binary64))) 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 (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))) (.f64 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)))
(* 1/12 (* a (pow eps 2)))
(.f64 (.f64 (*.f64 eps eps) a) #s(literal 1/12 binary64))
(* (pow eps 2) (+ (* 1/12 a) (+ (/ 1 (* a (pow eps 2))) (/ 1 (* b (pow eps 2))))))
(.f64 (fma.f64 a #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) (.f64 eps eps))) (*.f64 eps eps))
(* 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 a eps))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) eps) #s(literal 1/2 binary64))) eps)
(* (pow eps 2) (+ (* 1/12 a) (/ 1 (* b (pow eps 2)))))
(.f64 (.f64 (fma.f64 a #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) b))) eps) eps)
(* -1 (* eps (- (* -1 (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) (/ 1 (* b eps)))))
(.f64 (neg.f64 eps) (-.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) b) eps)))

rewrite248.0ms (1%)

Memory

32.0MiB live, 258.9MiB allocated; 91ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	353
0	72	350
1	360	300
2	2772	300
0	8415	277

Stop Event

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

Counts

10 → 164

Calls

Call 1

Inputs
(fma.f64 (fma.f64 #s(approx (+ (* (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) (.f64 #s(literal 1/12 binary64) (.f64 eps eps))) 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))) #s(approx (/ (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) b) (fma.f64 (fma.f64 #s(approx (+ (* (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) (.f64 #s(literal 1/12 binary64) (.f64 eps eps))) a (/.f64 #s(literal 1 binary64) b)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))))
#s(approx (/ (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) b) (fma.f64 (fma.f64 #s(approx (+ (* (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) (.f64 #s(literal 1/12 binary64) (.f64 eps eps))) a (/.f64 #s(literal 1 binary64) b)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a)))
(fma.f64 #s(approx (+ (* (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) (.f64 #s(literal 1/12 binary64) (.f64 eps eps))) a (/.f64 #s(literal 1 binary64) b))
(fma.f64 (/.f64 b a) a a)
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ b a) (fma.f64 (/.f64 b a) a a)) (*.f64 b a)))
(/.f64 #s(approx (+ b a) (fma.f64 (/.f64 b a) a a)) (*.f64 b a))
#s(approx (+ b a) (fma.f64 (/.f64 b a) a a))
(.f64 #s(literal 1/12 binary64) (.f64 eps eps))
#s(approx (+ (* (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) (.f64 #s(literal 1/12 binary64) (.f64 eps eps)))

Outputs
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(+.f64 (.f64 #s(literal 1 binary64) (.f64 #s(approx (+ (* (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) (.f64 (.f64 eps #s(literal 1/12 binary64)) eps)) a)) (*.f64 #s(literal 1 binary64) (pow.f64 b #s(literal -1 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) (pow.f64 b #s(literal -1 binary64))) (.f64 #s(literal 1 binary64) (.f64 #s(approx (+ ( (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) (.f64 (.f64 eps #s(literal 1/12 binary64)) eps)) a)))
(+.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ ( (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) (.f64 (.f64 eps #s(literal 1/12 binary64)) eps)) a) #s(literal 3 binary64)) (fma.f64 (pow.f64 b #s(literal -1 binary64)) (-.f64 (pow.f64 b #s(literal -1 binary64)) (.f64 #s(approx (+ ( (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) (.f64 (.f64 eps #s(literal 1/12 binary64)) eps)) a)) (pow.f64 (.f64 #s(approx (+ ( (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) (.f64 (.f64 eps #s(literal 1/12 binary64)) eps)) a) #s(literal 2 binary64)))) (/.f64 (pow.f64 b #s(literal -3 binary64)) (fma.f64 (pow.f64 b #s(literal -1 binary64)) (-.f64 (pow.f64 b #s(literal -1 binary64)) (.f64 #s(approx (+ ( (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) (.f64 (.f64 eps #s(literal 1/12 binary64)) eps)) a)) (pow.f64 (.f64 #s(approx (+ ( (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) (.f64 (.f64 eps #s(literal 1/12 binary64)) eps)) a) #s(literal 2 binary64)))))
(+.f64 (.f64 #s(approx (+ ( (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) (.f64 (.f64 eps #s(literal 1/12 binary64)) eps)) a) (pow.f64 b #s(literal -1 binary64)))
(+.f64 (pow.f64 b #s(literal -1 binary64)) (.f64 #s(approx (+ ( (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) (.f64 (.f64 eps #s(literal 1/12 binary64)) eps)) a))
(*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a)
(*.f64 a (+.f64 (/.f64 b a) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (.f64 (/.f64 b a) a) #s(literal 3 binary64)) (fma.f64 a (-.f64 a (.f64 (/.f64 b a) a)) (pow.f64 (.f64 (/.f64 b a) a) #s(literal 2 binary64))) (.f64 (fma.f64 a (-.f64 a (.f64 (/.f64 b a) a)) (pow.f64 (.f64 (/.f64 b a) a) #s(literal 2 binary64))) (pow.f64 a #s(literal 3 binary64)))) (.f64 (fma.f64 a (-.f64 a (.f64 (/.f64 b a) a)) (pow.f64 (.f64 (/.f64 b a) a) #s(literal 2 binary64))) (fma.f64 a (-.f64 a (.f64 (/.f64 b a) a)) (pow.f64 (*.f64 (/.f64 b a) a) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 a a) (pow.f64 (.f64 (/.f64 b a) a) #s(literal 2 binary64))) (-.f64 a (*.f64 (/.f64 b a) a)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 b a) a) #s(literal 2 binary64)) (.f64 a a))) (neg.f64 (-.f64 (*.f64 (/.f64 b a) a) a)))
(/.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 b a) a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 a (-.f64 a (.f64 (/.f64 b a) a)) (pow.f64 (*.f64 (/.f64 b a) a) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 b a) a) #s(literal 2 binary64)) (.f64 a a)) (-.f64 (*.f64 (/.f64 b a) a) a))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 b a) a) #s(literal 3 binary64))) (fma.f64 a a (-.f64 (pow.f64 (.f64 (/.f64 b a) a) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 b a) a) a))))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 b a) a) #s(literal 3 binary64))) (fma.f64 a (-.f64 a (.f64 (/.f64 b a) a)) (pow.f64 (*.f64 (/.f64 b a) a) #s(literal 2 binary64))))
(fma.f64 (/.f64 b a) a a)
(fma.f64 b (/.f64 a a) a)
(fma.f64 a (/.f64 b a) a)
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 b a) a) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 b a) a) a)) (/.f64 (.f64 a a) (-.f64 (.f64 (/.f64 b a) a) a)))
(-.f64 a (*.f64 (neg.f64 (/.f64 b a)) a))
(-.f64 a (*.f64 (neg.f64 a) (/.f64 b a)))
(+.f64 (/.f64 (pow.f64 (.f64 (/.f64 b a) a) #s(literal 3 binary64)) (fma.f64 a (-.f64 a (.f64 (/.f64 b a) a)) (pow.f64 (.f64 (/.f64 b a) a) #s(literal 2 binary64)))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a (-.f64 a (.f64 (/.f64 b a) a)) (pow.f64 (*.f64 (/.f64 b a) a) #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 b a) a) a)
(+.f64 a (*.f64 (/.f64 b a) a))
(log.f64 (pow.f64 (exp.f64 a) (+.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) (fma.f64 (/.f64 b a) a a)) (*.f64 b a)))
(/.f64 (/.f64 #s(approx (+ b a) (fma.f64 (/.f64 b a) a a)) a) b)
(/.f64 (neg.f64 (/.f64 #s(approx (+ b a) (fma.f64 (/.f64 b a) a a)) b)) (neg.f64 a))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ b a) (fma.f64 (/.f64 b a) a a)))) (neg.f64 (*.f64 (neg.f64 a) b)))
(/.f64 (/.f64 #s(approx (+ b a) (fma.f64 (/.f64 b a) a a)) b) a)
(/.f64 (neg.f64 #s(approx (+ b a) (fma.f64 (/.f64 b a) a a))) (*.f64 (neg.f64 a) b))
(/.f64 #s(approx (+ b a) (fma.f64 (/.f64 b a) a a)) (*.f64 b a))
(neg.f64 (/.f64 (neg.f64 #s(approx (+ b a) (fma.f64 (/.f64 b a) a a))) (*.f64 b a)))
(neg.f64 (/.f64 #s(approx (+ b a) (fma.f64 (/.f64 b a) a a)) (*.f64 (neg.f64 a) b)))
#s(approx (+ b a) (fma.f64 (/.f64 b a) a a))
(.f64 (fabs.f64 (.f64 #s(literal 1/12 binary64) (neg.f64 eps))) eps)
(.f64 (fabs.f64 (.f64 eps #s(literal 1/12 binary64))) eps)
(.f64 (.f64 #s(literal 1/12 binary64) (neg.f64 eps)) (neg.f64 eps))
(.f64 (neg.f64 eps) (.f64 (neg.f64 eps) #s(literal 1/12 binary64)))
(.f64 (.f64 eps eps) #s(literal 1/12 binary64))
(.f64 (.f64 eps #s(literal 1/12 binary64)) eps)
(.f64 eps (fabs.f64 (.f64 (neg.f64 eps) #s(literal 1/12 binary64))))
(.f64 eps (fabs.f64 (.f64 eps #s(literal 1/12 binary64))))
(.f64 eps (.f64 eps #s(literal 1/12 binary64)))
(.f64 #s(literal 1/12 binary64) (.f64 eps eps))
(sqrt.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/144 binary64)))
(fabs.f64 (.f64 #s(literal -1/12 binary64) (.f64 eps eps)))
(fabs.f64 (.f64 (.f64 eps #s(literal 1/12 binary64)) eps))
#s(approx (+ (* (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) (.f64 (.f64 eps #s(literal 1/12 binary64)) eps))

eval34.0ms (0.1%)

Memory: 26.7MiB live, 70.9MiB allocated; 5ms collecting garbage
Compiler: Compiled 29 048 to 1 267 computations (95.6% saved)

prune13.0ms (0.1%)

Memory

-32.8MiB live, 23.9MiB allocated; 12ms collecting garbage

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	217	1	218
Fresh	0	0	0
Picked	2	0	2
Done	0	6	6
Total	219	7	226

Accuracy

100.0%

Counts

226 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a))
✓	60.2%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
✓	46.5%	#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))
✓	52.2%	#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 b a)) b))
✓	46.7%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
✓	52.4%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
	100.0%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ b a) (* b a)) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))

Compiler

Compiled 916 to 303 computations (66.9% saved)

regimes19.0ms (0.1%)

Memory

-10.8MiB live, 34.5MiB allocated; 4ms collecting garbage

Counts

16 → 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 (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) (/.f64 b a)) b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ b a) (* b a)) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a))
#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 (+ b a) (fma.f64 (/.f64 b a) a a)) (*.f64 b a)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (/.f64 b (.f64 b a)) (/.f64 a (.f64 b a))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) b) (fma.f64 (fma.f64 #s(approx (+ (* (* 1/12 eps) eps) (* (- (* (* eps eps) 1/8) (+ (* 1/12 (* eps eps)) (* (* 1/12 (* eps eps)) 1/2))) (* a eps))) (.f64 #s(literal 1/12 binary64) (.f64 eps eps))) 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 #s(approx (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (fma.f64 (.f64 (.f64 a #s(literal 1/12 binary64)) eps) eps (/.f64 #s(literal 1 binary64) a))) b #s(literal 1 binary64)) b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) b) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) eps) eps (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) (.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)))) (*.f64 a eps))) a (/.f64 #s(literal 1 binary64) b)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))))
(/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a))))
#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))) #s(approx (/ (+ b a) (* b a)) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
100.0%	1	`(/.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))))`
100.0%	1	`a`
100.0%	1	`b`
100.0%	1	`eps`

Compiler

Compiled 27 to 26 computations (3.7% saved)

regimes8.0ms (0%)

Memory

17.6MiB live, 17.6MiB allocated; 0ms collecting garbage

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

2.0ms	eps
2.0ms	b
2.0ms	a
1.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
60.2%	1	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`
80.6%	3	`a`
84.1%	3	`b`
71.6%	2	`eps`

Compiler

Compiled 27 to 26 computations (3.7% saved)

regimes2.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
82.3%	2	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes4.0ms (0%)

Memory

10.9MiB live, 10.9MiB allocated; 0ms collecting garbage

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	a
1.0ms	b
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
52.4%	1	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`
52.4%	1	`eps`
52.4%	1	`a`
52.4%	1	`b`

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch27.0ms (0.1%)

Memory

-34.6MiB live, 55.5MiB allocated; 7ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	8.445632178427486e-142	2.4885406737253428e-140
8.0ms	1.1718916062870448e-180	1.5637874098740351e-180

Samples

13.0ms

160×

valid

Compiler

Compiled 615 to 446 computations (27.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 5.0ms (53.4% of total)

ival-expm1: 3.0ms (32% of total)

ival-div: 1.0ms (10.7% of total)

ival-add: 1.0ms (10.7% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.1718916062870448e-180	1.5637874098740351e-180

Compiler

Compiled 195 to 145 computations (25.6% saved)

simplify48.0ms (0.2%)

Memory

28.8MiB live, 83.2MiB allocated; 7ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	224
1	78	224
2	160	224
3	363	224
4	1311	224

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))) #s(approx (/ (+ b a) (* b a)) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))
(if (<=.f64 b #s(literal 6774311829045435/4671939192445127903888559724237098316690665991422525368913093138328857771221685643782054718788988313373329725003360673086145233634688448510210725191395547328770042546544911308884863172860522266624 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) (if (<=.f64 b #s(literal 6041021940914937/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))))
(if (<=.f64 b #s(literal 6774311829045435/4671939192445127903888559724237098316690665991422525368913093138328857771221685643782054718788988313373329725003360673086145233634688448510210725191395547328770042546544911308884863172860522266624 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))) #s(approx (/ (+ b a) (* b a)) (+.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))) #s(approx (/ (+ b a) (* b a)) (+.f64 (pow.f64 b #s(literal -1 binary64)) (pow.f64 a #s(literal -1 binary64)))))
(if (<=.f64 b #s(literal 6774311829045435/4671939192445127903888559724237098316690665991422525368913093138328857771221685643782054718788988313373329725003360673086145233634688448510210725191395547328770042546544911308884863172860522266624 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) (if (<=.f64 b #s(literal 6041021940914937/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))))
(if (<=.f64 b #s(literal 6774311829045435/4671939192445127903888559724237098316690665991422525368913093138328857771221685643782054718788988313373329725003360673086145233634688448510210725191395547328770042546544911308884863172860522266624 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (pow.f64 b #s(literal -1 binary64))) (if (<=.f64 b #s(literal 6041021940914937/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (pow.f64 a #s(literal -1 binary64))) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))))
(if (<=.f64 b #s(literal 6774311829045435/4671939192445127903888559724237098316690665991422525368913093138328857771221685643782054718788988313373329725003360673086145233634688448510210725191395547328770042546544911308884863172860522266624 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 6774311829045435/4671939192445127903888559724237098316690665991422525368913093138328857771221685643782054718788988313373329725003360673086145233634688448510210725191395547328770042546544911308884863172860522266624 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)))

derivations555.0ms (2.3%)

Memory

-3.4MiB live, 268.2MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	366	2187
1	1166	1919
2	4655	1778
0	8206	1614
0	409	2530
1	1320	2210
2	5257	2198
0	8342	1994
0	336	1738
1	1195	1690
2	4974	1618
0	8077	1458
0	43	254
0	68	230
1	302	230
2	1655	230
0	8224	230

Stop Event

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

Compiler

Compiled 224 to 39 computations (82.6% saved)

preprocess60.0ms (0.2%)

Memory: 1.0MiB live, 45.9MiB allocated; 4ms collecting garbage
Remove: (sort a b)
Compiler: Compiled 750 to 282 computations (62.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze233.0ms (0.9%)

sample19.4s (78.9%)

explain293.0ms (1.2%)

preprocess213.0ms (0.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify127.0ms (0.5%)

localize68.0ms (0.3%)

series50.0ms (0.2%)

simplify155.0ms (0.6%)

rewrite182.0ms (0.7%)

eval88.0ms (0.4%)

prune6.0ms (0%)

simplify127.0ms (0.5%)

localize101.0ms (0.4%)

series152.0ms (0.6%)

simplify191.0ms (0.8%)

rewrite186.0ms (0.8%)

eval89.0ms (0.4%)

prune43.0ms (0.2%)

simplify568.0ms (2.3%)

localize164.0ms (0.7%)

series131.0ms (0.5%)

simplify141.0ms (0.6%)

rewrite236.0ms (1%)

eval142.0ms (0.6%)

prune14.0ms (0.1%)

simplify146.0ms (0.6%)

localize108.0ms (0.4%)

series48.0ms (0.2%)

simplify181.0ms (0.7%)

rewrite248.0ms (1%)

eval34.0ms (0.1%)

prune13.0ms (0.1%)

regimes19.0ms (0.1%)

regimes8.0ms (0%)

regimes2.0ms (0%)

regimes4.0ms (0%)

bsearch27.0ms (0.1%)

bsearch1.0ms (0%)

simplify48.0ms (0.2%)

derivations555.0ms (2.3%)

preprocess60.0ms (0.2%)

end0.0ms (0%)

Profiling