Metrics for expq3 (problem 3.4.2)

start0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated

analyze206.0ms (0.8%)

Memory

-1.5MiB live, 242.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 52 to 27 computations (48.1% saved)

sample19.6s (77.7%)

Memory

251.4MiB live, 17 190.3MiB allocated

Samples

12.8s	63 618×	0	invalid
1.5s	8 256×	0	valid

Precisions

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

ival-mult: 3.5s (31.4% of total)

const: 1.7s (15.5% of total)

ival-expm1: 1.5s (13.9% of total)

ival-<=: 1.4s (12.8% of total)

ival-fabs: 903.0ms (8.1% of total)

ival-add: 723.0ms (6.5% of total)

ival-div: 552.0ms (5% of total)

ival-fmin: 447.0ms (4% of total)

ival-and: 226.0ms (2% of total)

exact: 53.0ms (0.5% of total)

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

Bogosity

explain317.0ms (1.3%)

Memory

-4.7MiB live, 333.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
230	0	-	1	(-6.010218043425784e-88 3.51967689198702e-43 1.1682502943875441e-91)	`(/.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))))`
150	1	(-2.6057794976472283e-90 1.1045609400980635e-226 1.766556064185726e-234)	0	-	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`
118	1	(-2.6057794976472283e-90 1.1045609400980635e-226 1.766556064185726e-234)	0	-	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`
109	0	-	0	-	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`
0	0	-	0	-	`(+.f64 a b)`
0	0	-	0	-	`(*.f64 b eps)`
0	0	-	0	-	`(exp.f64 (*.f64 a eps))`
0	0	-	0	-	`a`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(*.f64 a eps)`
0	0	-	0	-	`(exp.f64 (*.f64 (+.f64 a b) eps))`
0	0	-	0	-	`eps`
0	0	-	0	-	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`
0	0	-	0	-	`(.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))`
0	0	-	0	-	`(*.f64 (+.f64 a b) eps)`
0	0	-	0	-	`(exp.f64 (*.f64 b eps))`
0	0	-	0	-	`b`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`	u/u	204	0
↳	`(.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))`	underflow	204
↳	`(*.f64 (+.f64 a b) eps)`	underflow	105
↳	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`	underflow	105
↳	`(*.f64 b eps)`	underflow	147
↳	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	underflow	137
↳	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	underflow	147
↳	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`	underflow	229
↳	`(*.f64 a eps)`	underflow	137
`-.f64`	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`	cancellation	151	0
`-.f64`	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	cancellation	119	0
`-.f64`	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	cancellation	109	0
`/.f64`	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`	n/u	25	0
↳	`(*.f64 b eps)`	underflow	147
↳	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	underflow	137
↳	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	underflow	147
↳	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`	underflow	229
↳	`(*.f64 a eps)`	underflow	137

Confusion

	Predicted +	Predicted -
+	256	0
-	0	0

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
1	105
3	101
4	50

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

128.0ms

512×

valid

Compiler

Compiled 226 to 55 computations (75.7% saved)

Precisions

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

ival-mult: 15.0ms (34.2% of total)

ival-expm1: 11.0ms (25.1% of total)

ival-exp: 10.0ms (22.8% of total)

ival-div: 3.0ms (6.8% of total)

ival-add: 3.0ms (6.8% of total)

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

exact: 0.0ms (0% of total)

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

preprocess308.0ms (1.2%)

Memory

-32.5MiB live, 111.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(sort a b)

Compiler

Compiled 24 to 17 computations (29.2% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

0.0%

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

simplify157.0ms (0.6%)

Memory

43.3MiB live, 133.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize141.0ms (0.6%)

Memory

-28.3MiB live, 112.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	24.145789155489663	(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))
accuracy	26.901007701625037	(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))
accuracy	33.70456892402483	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))
accuracy	55.522977750020296	(/.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

84.0ms

256×

valid

Compiler

Compiled 101 to 19 computations (81.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-exp: 49.0ms (66.6% of total)

ival-mult: 17.0ms (23.1% of total)

ival-expm1: 4.0ms (5.4% of total)

ival-div: 2.0ms (2.7% of total)

ival-add: 2.0ms (2.7% of total)

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

exact: 0.0ms (0% of total)

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

series21.0ms (0.1%)

Memory

19.4MiB live, 19.4MiB allocated

Counts

4 → 44

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
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))))
2.0ms	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))))

simplify209.0ms (0.8%)

Memory

-12.1MiB live, 122.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

44 → 44

Calls

Call 1

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

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

rewrite158.0ms (0.6%)

Memory

44.8MiB live, 132.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 164

Calls

Call 1

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

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

eval56.0ms (0.2%)

Memory: -11.2MiB live, 44.2MiB allocated
Compiler: Compiled 9 515 to 1 000 computations (89.5% saved)

prune13.0ms (0.1%)

Memory

-33.0MiB live, 13.0MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

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

Accuracy

100.0%

Counts

203 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	20.0%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 (-.f64 (.f64 (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) b) (/.f64 #s(literal 1/2 binary64) a)) (.f64 (.f64 (.f64 (.f64 b a) (+.f64 b a)) #s(literal 1/2 binary64)) (/.f64 (+.f64 b a) (.f64 (.f64 (.f64 b a) a) b)))) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))
▶	46.3%	#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))
▶	51.4%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
▶	47.2%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))

Compiler

Compiled 396 to 256 computations (35.4% saved)

simplify120.0ms (0.5%)

Memory

43.6MiB live, 132.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (.f64 eps a)))))
cost-diff	0	(fma.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (.f64 eps a))))) b #s(literal 1 binary64))
cost-diff	0	#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	(fma.f64 (-.f64 (.f64 (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) b) (/.f64 #s(literal 1/2 binary64) a)) (.f64 (.f64 (.f64 (.f64 b a) (+.f64 b a)) #s(literal 1/2 binary64)) (/.f64 (+.f64 b a) (.f64 (.f64 (.f64 b a) a) b)))) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))
cost-diff	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 (-.f64 (.f64 (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) b) (/.f64 #s(literal 1/2 binary64) a)) (.f64 (.f64 (.f64 (.f64 b a) (+.f64 b a)) #s(literal 1/2 binary64)) (/.f64 (+.f64 b a) (.f64 (.f64 (.f64 b a) a) b)))) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))
cost-diff	2	(.f64 (.f64 (.f64 (.f64 b a) (+.f64 b a)) #s(literal 1/2 binary64)) (/.f64 (+.f64 b a) (.f64 (.f64 (*.f64 b a) a) b)))
cost-diff	6	(-.f64 (.f64 (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) b) (/.f64 #s(literal 1/2 binary64) a)) (.f64 (.f64 (.f64 (.f64 b a) (+.f64 b a)) #s(literal 1/2 binary64)) (/.f64 (+.f64 b a) (.f64 (.f64 (.f64 b a) a) b))))
cost-diff	0	(/.f64 #s(literal 1 binary64) b)
cost-diff	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
cost-diff	0	(/.f64 #s(literal 1 binary64) a)
cost-diff	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
cost-diff	0	(+.f64 b a)
cost-diff	0	(/.f64 (+.f64 b a) b)
cost-diff	0	(/.f64 (/.f64 (+.f64 b a) b) a)
cost-diff	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) b) a))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	496
0	84	486
1	185	486
2	531	470
3	2904	458
0	8165	436

Stop Event

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

Calls

Call 1

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

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

localize327.0ms (1.3%)

Memory

-2.6MiB live, 458.6MiB allocated

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	0.125	(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	0.15625	(/.f64 (fma.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (.f64 eps a))))) b #s(literal 1 binary64)) b)
accuracy	34.220615333692336	(.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (.f64 eps a)))))
accuracy	0.3154487793053261	(*.f64 (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) b) (/.f64 #s(literal 1/2 binary64) a))
accuracy	1.1579542892166337	(/.f64 (+.f64 b a) (.f64 (.f64 (*.f64 b a) a) b))
accuracy	13.453073360602234	(/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) b)
accuracy	49.320225512891305	(.f64 (.f64 (.f64 (.f64 b a) (+.f64 b a)) #s(literal 1/2 binary64)) (/.f64 (+.f64 b a) (.f64 (.f64 (*.f64 b a) a) b)))
accuracy	0.0	(/.f64 #s(literal 1 binary64) b)
accuracy	31.077616018217444	#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	33.77541406622447	#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	0.0390625	(/.f64 (+.f64 b a) b)
accuracy	0.11328125	(/.f64 (/.f64 (+.f64 b a) b) a)

Samples

268.0ms

256×

valid

Compiler

Compiled 435 to 49 computations (88.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 210.0ms

adjust: 62.0ms (29.5% of total)

ival-mult: 54.0ms (25.7% of total)

ival-div: 51.0ms (24.3% of total)

ival-add: 15.0ms (7.1% of total)

ival-expm1: 11.0ms (5.2% of total)

ival-pow2: 6.0ms (2.9% of total)

ival-pow: 4.0ms (1.9% of total)

ival-sub: 3.0ms (1.4% of total)

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

exact: 1.0ms (0.5% of total)

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

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

series104.0ms (0.4%)

Memory

36.3MiB live, 124.8MiB allocated

Counts

20 → 99

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
42.0ms	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) (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b))) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ (* (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) eps) (+ (/ 1 b) (/ 1 a))) (/ (+ (* (* 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)))) (/ (pow (+ b a) 2) b) (/ (+ b a) (* (* (* b a) a) b)) (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))
17.0ms	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) (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b))) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ (* (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) eps) (+ (/ 1 b) (/ 1 a))) (/ (+ (* (* 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)))) (/ (pow (+ b a) 2) b) (/ (+ b a) (* (* (* b a) a) b)) (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))
11.0ms	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) (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b))) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ (* (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) eps) (+ (/ 1 b) (/ 1 a))) (/ (+ (* (* 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)))) (/ (pow (+ b a) 2) b) (/ (+ b a) (* (* (* b a) a) b)) (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))
8.0ms	a	@	0	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (+ b a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 b) (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b))) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ (* (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) eps) (+ (/ 1 b) (/ 1 a))) (/ (+ (* (* 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)))) (/ (pow (+ b a) 2) b) (/ (+ b a) (* (* (* b a) a) b)) (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))
6.0ms	b	@	-inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (+ b a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 b) (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b))) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ (* (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) eps) (+ (/ 1 b) (/ 1 a))) (/ (+ (* (* 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)))) (/ (pow (+ b a) 2) b) (/ (+ b a) (* (* (* b a) a) b)) (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))

simplify168.0ms (0.7%)

Memory

-29.9MiB live, 151.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	489	2949
1	1578	2609
2	5992	2591
0	8197	2355

Stop Event

1×	iter limit
1×	node limit

Counts

99 → 97

Calls

Call 1

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

Outputs
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) a)
(/.f64 (fma.f64 (.f64 eps (-.f64 (/.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))
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(.f64 (neg.f64 b) (-.f64 (/.f64 (.f64 (neg.f64 a) (+.f64 (/.f64 a b) #s(literal 2 binary64))) b) #s(literal 1 binary64)))
(/ (+ a b) (* a b))
(/.f64 (/.f64 (+.f64 b a) a) b)
(+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(fma.f64 (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) b)) (/.f64 (.f64 (.f64 (+.f64 b a) #s(literal 1/2 binary64)) (fma.f64 (.f64 b a) b (.f64 (.f64 a a) b))) (.f64 (.f64 (*.f64 b b) 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 a) b (.f64 (.f64 a a) b)) a)) (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) b)) (/.f64 (.f64 (.f64 (+.f64 b a) #s(literal 1/2 binary64)) (fma.f64 (.f64 b a) b (.f64 (.f64 a a) b))) (.f64 (.f64 (.f64 b b) 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 (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) b)) (/.f64 (.f64 (.f64 (+.f64 b a) #s(literal 1/2 binary64)) (fma.f64 (.f64 b a) b (.f64 (.f64 a a) b))) (.f64 (.f64 (*.f64 b b) 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 a) b (.f64 (.f64 a a) b)) a)) (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) b)) (/.f64 (.f64 (.f64 (+.f64 b a) #s(literal 1/2 binary64)) (fma.f64 (.f64 b a) b (.f64 (.f64 a a) b))) (.f64 (.f64 (.f64 b b) 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 a) b (.f64 (.f64 a a) b)) #s(literal 1/2 binary64)) (.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (pow.f64 b #s(literal 3 binary64)) a (.f64 (pow.f64 a #s(literal 3 binary64)) b)) (.f64 (.f64 (.f64 (.f64 b b) a) a) #s(literal 1/4 binary64))) (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) b)) (/.f64 (.f64 (.f64 (+.f64 b a) #s(literal 1/2 binary64)) (fma.f64 (.f64 b a) b (.f64 (.f64 a a) b))) (.f64 (.f64 (.f64 b b) 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 a) b (.f64 (.f64 a a) b)) a)) (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) b)) (/.f64 (.f64 (.f64 (+.f64 b a) #s(literal 1/2 binary64)) (fma.f64 (.f64 b a) b (.f64 (.f64 a a) b))) (.f64 (.f64 (.f64 b b) 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 (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) b)) (/.f64 (.f64 (.f64 (+.f64 b a) #s(literal 1/2 binary64)) (fma.f64 (.f64 b a) b (.f64 (.f64 a a) b))) (.f64 (.f64 (*.f64 b b) 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 a #s(literal 1/12 binary64)) eps) eps (/.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 a #s(literal 1/12 binary64)) a) #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 (+.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 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/48 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 a #s(literal 1/12 binary64)) a) #s(literal 1/2 binary64) (.f64 (.f64 a #s(literal 1/12 binary64)) 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 a #s(literal 1/12 binary64)) a) #s(literal 1/2 binary64)))) eps (.f64 a #s(literal 1/12 binary64))) (.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 a #s(literal 1/12 binary64)) b) eps) eps (/.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 a #s(literal 1/12 binary64)) a) #s(literal 1/2 binary64) (.f64 (.f64 a #s(literal 1/12 binary64)) a))) eps (*.f64 a #s(literal 1/12 binary64))) (/.f64 (+.f64 b a) 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 a #s(literal 1/12 binary64)) b (.f64 (.f64 b eps) (-.f64 (fma.f64 (-.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/30 binary64)) (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/48 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 a #s(literal 1/12 binary64)) a) #s(literal 1/2 binary64) (.f64 (.f64 a #s(literal 1/12 binary64)) 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 a #s(literal 1/12 binary64)) a) #s(literal 1/2 binary64)))))) (.f64 eps eps) (/.f64 (+.f64 b a) a))
(+ (* (pow eps 2) (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))) (/ 1 a))
(fma.f64 (.f64 (.f64 a #s(literal 1/12 binary64)) eps) eps (/.f64 #s(literal 1 binary64) a))
(+ (* (pow eps 2) (- (+ (* 1/2 a) (* eps (- (* 1/6 (pow a 2)) (+ (* 1/24 (pow a 2)) (+ (* 1/12 (pow a 2)) (* 1/2 (* a (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))))))))) (+ (* 1/6 a) (* 1/4 a)))) (/ 1 a))
(fma.f64 (fma.f64 (-.f64 (.f64 (.f64 a a) #s(literal 1/8 binary64)) (fma.f64 (.f64 (.f64 a #s(literal 1/12 binary64)) a) #s(literal 1/2 binary64) (.f64 (.f64 a #s(literal 1/12 binary64)) a))) eps (.f64 a #s(literal 1/12 binary64))) (.f64 eps eps) (/.f64 #s(literal 1 binary64) a))
(+ (* (pow eps 2) (- (+ (* 1/2 a) (* eps (- (+ (* 1/6 (pow a 2)) (* eps (- (* 1/24 (pow a 3)) (+ (* 1/120 (pow a 3)) (+ (* 1/48 (pow a 3)) (+ (* 1/6 (* (pow a 2) (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a))))) (* 1/2 (* a (- (* 1/6 (pow a 2)) (+ (* 1/24 (pow a 2)) (+ (* 1/12 (pow a 2)) (* 1/2 (* a (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))))))))))))))) (+ (* 1/24 (pow a 2)) (+ (* 1/12 (pow a 2)) (* 1/2 (* a (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))))))))) (+ (* 1/6 a) (* 1/4 a)))) (/ 1 a))
(fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/30 binary64)) (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/48 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 a #s(literal 1/12 binary64)) a) #s(literal 1/2 binary64) (.f64 (.f64 a #s(literal 1/12 binary64)) 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 a #s(literal 1/12 binary64)) a) #s(literal 1/2 binary64)))) eps (.f64 a #s(literal 1/12 binary64))) (.f64 eps eps) (/.f64 #s(literal 1 binary64) a))
(/ (+ (* 1/2 eps) (/ 1 a)) eps)
(/.f64 (fma.f64 #s(literal 1/2 binary64) eps (/.f64 #s(literal 1 binary64) a)) eps)
(/ (+ (* eps (+ 1/2 (* eps (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))))) (/ 1 a)) eps)
(/.f64 (fma.f64 (fma.f64 (*.f64 a #s(literal 1/12 binary64)) eps #s(literal 1/2 binary64)) eps (/.f64 #s(literal 1 binary64) a)) eps)
(/ (+ (* eps (+ 1/2 (* eps (- (+ (* 1/2 a) (* eps (- (* 1/6 (pow a 2)) (+ (* 1/24 (pow a 2)) (+ (* 1/12 (pow a 2)) (* 1/2 (* a (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))))))))) (+ (* 1/6 a) (* 1/4 a)))))) (/ 1 a)) eps)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 a a) #s(literal 1/8 binary64)) (fma.f64 (.f64 (.f64 a #s(literal 1/12 binary64)) a) #s(literal 1/2 binary64) (.f64 (.f64 a #s(literal 1/12 binary64)) a))) eps (*.f64 a #s(literal 1/12 binary64))) eps #s(literal 1/2 binary64)) eps (/.f64 #s(literal 1 binary64) a)) eps)
(* eps (- (+ (/ 1 (* b eps)) (/ (exp (* a eps)) (- (exp (* a eps)) 1))) 1/2))
(.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (.f64 a eps))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) eps) b) #s(literal 1/2 binary64))) eps)
(* eps (+ (* b (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) (/ 1 eps)))
(fma.f64 (.f64 (-.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64)) eps) b #s(literal 1 binary64))
(* -1 (* eps (- (* -1 (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) (/ 1 (* b eps)))))
(.f64 (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) eps) b)))
(* -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)))

rewrite217.0ms (0.9%)

Memory

16.2MiB live, 199.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	400
0	84	390
1	355	380
2	2810	374
0	9890	354

Stop Event

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

Counts

20 → 511

Calls

Call 1

Inputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) b) a))
(/.f64 (/.f64 (+.f64 b a) b) a)
(/.f64 (+.f64 b a) b)
(+.f64 b a)
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal 1 binary64) a)
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) b)
(-.f64 (.f64 (/.f64 (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) (+.f64 b a)) #s(literal 1/2 binary64)) (/.f64 (+.f64 b a) (.f64 (.f64 (*.f64 b a) a) b)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 (-.f64 (.f64 (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) b) (/.f64 #s(literal 1/2 binary64) a)) (.f64 (.f64 (.f64 (.f64 b a) (+.f64 b a)) #s(literal 1/2 binary64)) (/.f64 (+.f64 b a) (.f64 (.f64 (.f64 b a) a) b)))) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))
(fma.f64 (-.f64 (.f64 (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) b) (/.f64 #s(literal 1/2 binary64) a)) (.f64 (.f64 (.f64 (.f64 b a) (+.f64 b a)) #s(literal 1/2 binary64)) (/.f64 (+.f64 b a) (.f64 (.f64 (.f64 b a) a) b)))) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))
(/.f64 (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 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) b)
(/.f64 (+.f64 b a) (.f64 (.f64 (*.f64 b a) a) b))
(*.f64 (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) b) (/.f64 #s(literal 1/2 binary64) a))
(/.f64 (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 (pow.f64 b #s(literal -2 binary64)) (/.f64 (-.f64 a b) (.f64 b a))) (.f64 (/.f64 (-.f64 a b) (.f64 b a)) (pow.f64 a #s(literal -2 binary64)))) (pow.f64 (/.f64 (-.f64 a b) (*.f64 b a)) #s(literal 2 binary64)))
(/.f64 (/.f64 (+.f64 b a) a) b)
(/.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (/.f64 (-.f64 b a) (*.f64 b a)))
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal -2 binary64)) (pow.f64 a #s(literal -2 binary64)))) (neg.f64 (/.f64 (-.f64 a b) (*.f64 b a))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 (*.f64 b a) #s(literal -1 binary64))) (pow.f64 b #s(literal -2 binary64)))))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 a) (.f64 (neg.f64 b) #s(literal -1 binary64))) (.f64 (neg.f64 b) (neg.f64 a)))
(/.f64 (fma.f64 #s(literal -1 binary64) a (.f64 (neg.f64 b) #s(literal 1 binary64))) (.f64 (neg.f64 b) a))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 a) (.f64 b #s(literal -1 binary64))) (.f64 b (neg.f64 a)))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 b) (.f64 (neg.f64 a) #s(literal -1 binary64))) (.f64 (neg.f64 a) (neg.f64 b)))
(/.f64 (fma.f64 #s(literal -1 binary64) b (.f64 (neg.f64 a) #s(literal 1 binary64))) (.f64 (neg.f64 a) b))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 b) (.f64 a #s(literal -1 binary64))) (.f64 a (neg.f64 b)))
(/.f64 (.f64 (+.f64 b a) (-.f64 a b)) (.f64 (-.f64 a b) (*.f64 b a)))
(/.f64 (.f64 (+.f64 b a) (-.f64 b a)) (.f64 (-.f64 b a) (*.f64 b a)))
(/.f64 (-.f64 (pow.f64 b #s(literal -2 binary64)) (pow.f64 a #s(literal -2 binary64))) (/.f64 (-.f64 a b) (*.f64 b a)))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (.f64 (fma.f64 b (-.f64 b a) (.f64 a a)) (*.f64 b a)))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) (*.f64 b a)))
(/.f64 (+.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (+.f64 (pow.f64 a #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal -2 binary64)) (pow.f64 (*.f64 b a) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (+.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 (*.f64 b a) #s(literal -1 binary64))) (pow.f64 b #s(literal -2 binary64))))
(/.f64 (/.f64 (+.f64 b a) (neg.f64 b)) (neg.f64 a))
(/.f64 (neg.f64 (+.f64 b a)) (*.f64 (neg.f64 b) a))
(/.f64 (neg.f64 (+.f64 b a)) (neg.f64 (*.f64 b a)))
(/.f64 (/.f64 (+.f64 b a) b) (neg.f64 (neg.f64 a)))
(/.f64 (/.f64 (+.f64 b a) b) a)
(/.f64 (+.f64 b a) (*.f64 b a))
(neg.f64 (/.f64 (/.f64 (+.f64 b a) b) (neg.f64 a)))
(fma.f64 (neg.f64 (pow.f64 b #s(literal -1/2 binary64))) (neg.f64 (pow.f64 b #s(literal -1/2 binary64))) (pow.f64 a #s(literal -1 binary64)))
(fma.f64 (neg.f64 (pow.f64 a #s(literal -1/2 binary64))) (neg.f64 (pow.f64 a #s(literal -1/2 binary64))) (/.f64 (/.f64 a b) a))
(fma.f64 (neg.f64 (pow.f64 a #s(literal -1/2 binary64))) (neg.f64 (pow.f64 a #s(literal -1/2 binary64))) (pow.f64 b #s(literal -1 binary64)))
(fma.f64 (fabs.f64 (pow.f64 b #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 b #s(literal -1/2 binary64))) (pow.f64 a #s(literal -1 binary64)))
(fma.f64 (fabs.f64 (pow.f64 a #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 a #s(literal -1/2 binary64))) (/.f64 (/.f64 a b) a))
(fma.f64 (fabs.f64 (pow.f64 a #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 a #s(literal -1/2 binary64))) (pow.f64 b #s(literal -1 binary64)))
(fma.f64 (pow.f64 a #s(literal -1/2 binary64)) (pow.f64 a #s(literal -1/2 binary64)) (/.f64 (/.f64 a b) a))
(fma.f64 (pow.f64 a #s(literal -1/2 binary64)) (pow.f64 a #s(literal -1/2 binary64)) (pow.f64 b #s(literal -1 binary64)))
(fma.f64 (pow.f64 b #s(literal -1/2 binary64)) (pow.f64 b #s(literal -1/2 binary64)) (pow.f64 a #s(literal -1 binary64)))
(fma.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 1 binary64) (pow.f64 a #s(literal -1 binary64)))
(fma.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal 1 binary64) (/.f64 (/.f64 a b) a))
(fma.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal 1 binary64) (pow.f64 b #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 b #s(literal -1 binary64)) (pow.f64 a #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 a #s(literal -1 binary64)) (/.f64 (/.f64 a b) a))
(fma.f64 #s(literal 1 binary64) (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 b #s(literal -2 binary64)) (/.f64 (-.f64 a b) (.f64 b a))) (/.f64 (pow.f64 a #s(literal -2 binary64)) (/.f64 (-.f64 a b) (.f64 b a))))
(+.f64 (/.f64 (pow.f64 b #s(literal -3 binary64)) (+.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 (.f64 b a) #s(literal -1 binary64))) (pow.f64 b #s(literal -2 binary64)))) (/.f64 (pow.f64 a #s(literal -3 binary64)) (+.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 (.f64 b a) #s(literal -1 binary64))) (pow.f64 b #s(literal -2 binary64)))))
(+.f64 (/.f64 b (.f64 b a)) (/.f64 a (.f64 b a)))
(+.f64 (/.f64 a (.f64 b a)) (/.f64 b (.f64 b a)))
(+.f64 (pow.f64 b #s(literal -1 binary64)) (pow.f64 a #s(literal -1 binary64)))
(+.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 (/.f64 a b) a))
(+.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a b) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 a b)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a b) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 a b)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 b a))) (neg.f64 (neg.f64 b)))
(/.f64 (fma.f64 b b (.f64 b a)) (.f64 b b))
(/.f64 (.f64 (+.f64 b a) (-.f64 a b)) (.f64 (-.f64 a b) b))
(/.f64 (.f64 (+.f64 b a) (-.f64 b a)) (.f64 (-.f64 b a) b))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (.f64 (fma.f64 b (-.f64 b a) (.f64 a a)) b))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) b))
(/.f64 (neg.f64 (+.f64 b a)) (neg.f64 b))
(/.f64 (+.f64 b a) b)
(neg.f64 (/.f64 (+.f64 b a) (neg.f64 b)))
(+.f64 (/.f64 a b) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 a b))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 b a))) (neg.f64 (sqrt.f64 (+.f64 b a))))
(*.f64 (fabs.f64 (sqrt.f64 (+.f64 b a))) (fabs.f64 (sqrt.f64 (+.f64 b a))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 b a)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (+.f64 b a)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (+.f64 b a)))
(pow.f64 (sqrt.f64 (+.f64 b a)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (+.f64 b a) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (.f64 a a) (-.f64 a b)) (.f64 (-.f64 a b) (.f64 b b))) (pow.f64 (-.f64 a b) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 b b) (-.f64 b a)) (.f64 (-.f64 b a) (.f64 a a))) (pow.f64 (-.f64 b a) #s(literal 2 binary64)))
(/.f64 (fabs.f64 (neg.f64 (*.f64 (+.f64 b a) (-.f64 a b)))) (fabs.f64 (neg.f64 (-.f64 a b))))
(/.f64 (fabs.f64 (neg.f64 (*.f64 (+.f64 b a) (-.f64 b a)))) (fabs.f64 (neg.f64 (-.f64 b a))))
(/.f64 (fabs.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (fabs.f64 (neg.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)))))
(/.f64 (fabs.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (fabs.f64 (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)))))
(/.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 a b))) (fabs.f64 (-.f64 a b)))
(/.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a))) (fabs.f64 (-.f64 b a)))
(/.f64 (fabs.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fabs.f64 (fma.f64 b (-.f64 b a) (*.f64 a a))))
(/.f64 (fabs.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fabs.f64 (fma.f64 a (-.f64 a b) (*.f64 b b))))
(/.f64 (exp.f64 (log.f64 (*.f64 (+.f64 b a) (-.f64 a b)))) (exp.f64 (log.f64 (-.f64 a b))))
(/.f64 (exp.f64 (log.f64 (*.f64 (+.f64 b a) (-.f64 b a)))) (exp.f64 (log.f64 (-.f64 b a))))
(/.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (exp.f64 (log.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)))))
(/.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (exp.f64 (log.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)))))
(/.f64 (neg.f64 (*.f64 (+.f64 b a) (-.f64 a b))) (neg.f64 (-.f64 a b)))
(/.f64 (neg.f64 (*.f64 (+.f64 b a) (-.f64 b a))) (neg.f64 (-.f64 b a)))
(/.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (fma.f64 b (-.f64 b a) (*.f64 a a))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b))))
(/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 a b))
(/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (-.f64 b a))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 b (-.f64 b a) (*.f64 a a)))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 a (-.f64 a b) (*.f64 b b)))
(fma.f64 #s(literal 1 binary64) b a)
(fma.f64 #s(literal 1 binary64) a b)
(fma.f64 b #s(literal 1 binary64) a)
(fma.f64 a #s(literal 1 binary64) b)
(sqrt.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)))
(-.f64 (/.f64 (.f64 a a) (-.f64 a b)) (/.f64 (.f64 b b) (-.f64 a b)))
(-.f64 (/.f64 (.f64 b b) (-.f64 b a)) (/.f64 (.f64 a a) (-.f64 b a)))
(-.f64 a (*.f64 (neg.f64 b) #s(literal 1 binary64)))
(fabs.f64 (-.f64 (/.f64 (.f64 b b) (-.f64 a b)) (/.f64 (.f64 a a) (-.f64 a b))))
(fabs.f64 (-.f64 (/.f64 (.f64 a a) (-.f64 b a)) (/.f64 (.f64 b b) (-.f64 b a))))
(fabs.f64 (-.f64 (*.f64 (neg.f64 b) #s(literal 1 binary64)) a))
(fabs.f64 (neg.f64 (+.f64 b a)))
(fabs.f64 (+.f64 b a))
(+.f64 (cosh.f64 (log.f64 (+.f64 b a))) (sinh.f64 (log.f64 (+.f64 b a))))
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 b (-.f64 b a) (.f64 a a))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (-.f64 b a) (.f64 a a))))
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 a (-.f64 a b) (.f64 b b))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a (-.f64 a b) (.f64 b b))))
(+.f64 b a)
(+.f64 a b)
(exp.f64 (log.f64 (+.f64 b a)))
(log.f64 (exp.f64 (+.f64 b a)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (pow.f64 a #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 a #s(literal -1/2 binary64))) (neg.f64 (pow.f64 a #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 a #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 a #s(literal -1/2 binary64))))
(*.f64 (pow.f64 a #s(literal -1/2 binary64)) (pow.f64 a #s(literal -1/2 binary64)))
(*.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 a #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 a)) #s(literal -1 binary64))
(pow.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 a)) #s(literal -1 binary64))
(pow.f64 (*.f64 a a) #s(literal -1/2 binary64))
(pow.f64 a #s(literal -1 binary64))
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(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 a)))
(/.f64 #s(literal 1 binary64) (fabs.f64 a))
(/.f64 #s(literal 1 binary64) a)
(neg.f64 (/.f64 #s(literal -1 binary64) a))
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(fabs.f64 (neg.f64 (pow.f64 a #s(literal -1 binary64))))
(fabs.f64 (pow.f64 a #s(literal -1 binary64)))
(+.f64 (cosh.f64 (neg.f64 (log.f64 a))) (sinh.f64 (neg.f64 (log.f64 a))))
(exp.f64 (neg.f64 (log.f64 a)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (pow.f64 b #s(literal -1 binary64)))
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(pow.f64 (exp.f64 (log.f64 b)) #s(literal -1 binary64))
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(pow.f64 (neg.f64 (neg.f64 b)) #s(literal -1 binary64))
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(neg.f64 (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) (neg.f64 b)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 (.f64 b a) a) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 a (pow.f64 (.f64 b a) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (-.f64 b a) (pow.f64 (.f64 b a) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 (.f64 b a) a) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 a (pow.f64 (.f64 b a) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (.f64 (.f64 b a) a) #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 a (pow.f64 (.f64 b a) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 (.f64 b a) a) #s(literal -1 binary64)) (/.f64 a (pow.f64 (.f64 b a) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (/.f64 (/.f64 (/.f64 (+.f64 b a) b) a) a)) (neg.f64 b))
(/.f64 (neg.f64 (neg.f64 (+.f64 b a))) (neg.f64 (neg.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)))))
(/.f64 (fma.f64 b (pow.f64 (.f64 b a) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) a)) (pow.f64 (.f64 b a) #s(literal 4 binary64)))
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 b a) b) a) a) b)
(/.f64 (.f64 (+.f64 b a) (-.f64 a b)) (.f64 (-.f64 a b) (pow.f64 (*.f64 b a) #s(literal 2 binary64))))
(/.f64 (.f64 (+.f64 b a) (-.f64 b a)) (.f64 (-.f64 b a) (pow.f64 (*.f64 b a) #s(literal 2 binary64))))
(/.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)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))))
(/.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)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 b a)) (neg.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 (+.f64 b a) b) a) (*.f64 b a))
(/.f64 (/.f64 (+.f64 b a) b) (.f64 (.f64 b a) a))
(/.f64 (+.f64 b a) (pow.f64 (*.f64 b a) #s(literal 2 binary64)))
(neg.f64 (/.f64 (neg.f64 (+.f64 b a)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))))
(neg.f64 (/.f64 (+.f64 b a) (neg.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)))))
(+.f64 (/.f64 a (pow.f64 (.f64 b a) #s(literal 2 binary64))) (pow.f64 (.f64 (*.f64 b a) a) #s(literal -1 binary64)))
(+.f64 (pow.f64 (.f64 (.f64 b a) a) #s(literal -1 binary64)) (/.f64 a (pow.f64 (*.f64 b a) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a) (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) b))
(*.f64 (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) b) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b))
(.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 b a)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) b)) (neg.f64 a))
(/.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) a)) (neg.f64 b))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)))) (neg.f64 b))
(/.f64 (*.f64 (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) b) #s(literal -1/2 binary64)) (neg.f64 a))
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 b a) #s(literal 2 binary64))) a)) (neg.f64 b))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) b))) (neg.f64 a))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 b a) #s(literal 2 binary64)))) (neg.f64 (.f64 b a)))
(/.f64 (.f64 #s(literal -1/2 binary64) (neg.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)))) (.f64 (neg.f64 a) (neg.f64 b)))
(/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 b a) #s(literal 2 binary64))) (.f64 (neg.f64 a) b))
(/.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)))) (.f64 a (neg.f64 b)))
(/.f64 (.f64 (neg.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (.f64 (neg.f64 b) (neg.f64 a)))
(/.f64 (.f64 (neg.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 (neg.f64 b) a))
(/.f64 (.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 b (neg.f64 a)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 b a) #s(literal 2 binary64))) a) b)
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) b)) a)
(/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 b a) #s(literal 2 binary64))) (.f64 b a))
(.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 (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 (cosh.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) (/.f64 (sinh.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))))

eval125.0ms (0.5%)

Memory: 15.2MiB live, 197.5MiB allocated
Compiler: Compiled 53 607 to 4 060 computations (92.4% saved)

prune430.0ms (1.7%)

Memory

-249.6MiB live, 49.2MiB allocated

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	797	5	802
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	800	7	807

Accuracy

100.0%

Counts

807 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 #s(approx (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) #s(literal 0 binary64)) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))
▶	99.9%	#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))
▶	99.7%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) a) b))
▶	99.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a))
▶	63.3%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
✓	51.4%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
✓	47.2%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))

Compiler

Compiled 498 to 320 computations (35.7% saved)

simplify128.0ms (0.5%)

Memory

-3.8MiB live, 112.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	480
0	87	480
1	199	480
2	548	468
3	2819	462
0	8780	421

Stop Event

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

Calls

Call 1

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

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

localize367.0ms (1.5%)

Memory

10.2MiB live, 385.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.09765625	(.f64 (.f64 a #s(literal 1/12 binary64)) eps)
accuracy	0.125	(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))
accuracy	0.15625	(/.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)
accuracy	0.296875	(*.f64 a #s(literal 1/12 binary64))
accuracy	0.0	(+.f64 b a)
accuracy	0.0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) a) b))
accuracy	0.05078125	(/.f64 (+.f64 b a) a)
accuracy	0.15625	(/.f64 (/.f64 (+.f64 b a) a) b)
accuracy	0.0	(/.f64 a b)
accuracy	0.0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a))
accuracy	0.0078125	(+.f64 (/.f64 a b) #s(literal 1 binary64))
accuracy	0.11328125	(/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a)
accuracy	0.0	(+.f64 b a)
accuracy	0.0	(*.f64 b a)
accuracy	0.0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
accuracy	23.48238511873585	(/.f64 (+.f64 b a) (*.f64 b a))
accuracy	0.0	(/.f64 #s(literal 1 binary64) a)
accuracy	0.0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 #s(approx (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) #s(literal 0 binary64)) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))
accuracy	0.0	#s(approx (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) #s(literal 0 binary64))
accuracy	0.02734375	(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))

Samples

323.0ms

256×

valid

Compiler

Compiled 348 to 58 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 253.0ms

ival-add: 75.0ms (29.7% of total)

ival-mult: 54.0ms (21.3% of total)

ival-div: 45.0ms (17.8% of total)

adjust: 43.0ms (17% of total)

ival-expm1: 14.0ms (5.5% of total)

ival-pow2: 6.0ms (2.4% of total)

ival-sub: 4.0ms (1.6% of total)

const: 4.0ms (1.6% of total)

ival-pow: 4.0ms (1.6% of total)

ival-exp: 2.0ms (0.8% of total)

exact: 1.0ms (0.4% of total)

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

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

series66.0ms (0.3%)

Memory

-27.4MiB live, 72.9MiB allocated

Counts

22 → 65

Calls

Call 1

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

Outputs
(/ 1 a)
(/ (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) a)
(/ (+ 1 (* a (- (+ (* a (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a)
(/ (+ 1 (* a (- (+ (* a (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (* a (- (* 1/6 (/ (* (pow eps 3) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a)
(/ (+ 1 (/ a b)) a)
0
b
(+ a b)
(* a b)
1
(+ 1 (/ a b))
(/ a b)
(/ b a)
(/ (+ a b) a)
(/ (+ 1 (* a (+ (* a (* eps (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps))))) (/ 1 b)))) a)
(/ (+ 1 (* a (+ (* a (+ (* a (* eps (- (* 1/6 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (+ (* 1/12 (pow eps 2)) (* 1/2 (* eps (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps)))))))))) (* eps (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps)))))) (/ 1 b)))) a)
(/ (+ b (* a (+ 1 (* a (* b (* eps (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps))))))))) a)
(/ (+ b (* a (+ 1 (* a (+ (* a (* b (* eps (- (* 1/6 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (+ (* 1/12 (pow eps 2)) (* 1/2 (* eps (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps))))))))))) (* b (* eps (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps)))))))))) a)
(/ (+ 1 (* (pow a 2) (* eps (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps)))))) a)
(/ (+ 1 (* (pow a 2) (+ (* a (* eps (- (* 1/6 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (+ (* 1/12 (pow eps 2)) (* 1/2 (* eps (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps)))))))))) (* eps (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps))))))) a)
(/ (+ 1 (* (pow a 2) (+ (* a (+ (* a (* eps (- (* 1/24 (pow eps 3)) (+ (* 1/120 (pow eps 3)) (+ (* 1/48 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps))))) (* 1/2 (* eps (- (* 1/6 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (+ (* 1/12 (pow eps 2)) (* 1/2 (* eps (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps)))))))))))))))) (* eps (- (* 1/6 (pow eps 2)) (+ (* 1/24 (pow eps 2)) (+ (* 1/12 (pow eps 2)) (* 1/2 (* eps (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps))))))))))) (* eps (- (* 1/2 eps) (+ (* 1/6 eps) (* 1/4 eps))))))) a)
(* 1/12 a)
(* 1/12 (* a eps))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ 1 b)
(+ (/ 1 a) (/ 1 b))
a
(* a (+ 1 (/ b a)))
(* a (+ (/ 1 a) (/ 1 b)))
(+ 1 (/ b a))
(/ (+ 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))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b)
(/ (+ 1 (* b (- (+ (* b (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b)
(/ (+ 1 (* b (- (+ (* b (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (* b (- (* 1/6 (/ (* (pow eps 3) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b)
(/ (+ 1 (/ b a)) b)
(/ (+ a b) b)
(* b (+ 1 (/ a b)))
(* b (+ (/ 1 a) (/ 1 b)))
(+ (* eps (- (/ (exp (* 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)))
(* -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) (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))) (+ (/ 1 a) (/ 1 b)))
(+ (* (pow eps 2) (- (+ (* 1/2 a) (* eps (- (* 1/6 (pow a 2)) (+ (* 1/24 (pow a 2)) (+ (* 1/12 (pow a 2)) (* 1/2 (* a (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))))))))) (+ (* 1/6 a) (* 1/4 a)))) (+ (/ 1 a) (/ 1 b)))
(+ (* (pow eps 2) (- (+ (* 1/2 a) (* eps (- (+ (* 1/6 (pow a 2)) (* eps (- (* 1/24 (pow a 3)) (+ (* 1/120 (pow a 3)) (+ (* 1/48 (pow a 3)) (+ (* 1/6 (* (pow a 2) (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a))))) (* 1/2 (* a (- (* 1/6 (pow a 2)) (+ (* 1/24 (pow a 2)) (+ (* 1/12 (pow a 2)) (* 1/2 (* a (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))))))))))))))) (+ (* 1/24 (pow a 2)) (+ (* 1/12 (pow a 2)) (* 1/2 (* a (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))))))))) (+ (* 1/6 a) (* 1/4 a)))) (+ (/ 1 a) (/ 1 b)))
(+ 1 (+ (* b (* (pow eps 2) (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a))))) (/ b a)))
(+ 1 (+ (* (pow eps 2) (+ (* b (* eps (- (* 1/6 (pow a 2)) (+ (* 1/24 (pow a 2)) (+ (* 1/12 (pow a 2)) (* 1/2 (* a (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))))))))) (* b (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))))) (/ b a)))
(+ 1 (+ (* (pow eps 2) (+ (* b (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))) (* eps (+ (* b (* eps (- (* 1/24 (pow a 3)) (+ (* 1/120 (pow a 3)) (+ (* 1/48 (pow a 3)) (+ (* 1/6 (* (pow a 2) (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a))))) (* 1/2 (* a (- (* 1/6 (pow a 2)) (+ (* 1/24 (pow a 2)) (+ (* 1/12 (pow a 2)) (* 1/2 (* a (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))))))))))))))) (* b (- (* 1/6 (pow a 2)) (+ (* 1/24 (pow a 2)) (+ (* 1/12 (pow a 2)) (* 1/2 (* a (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a))))))))))))) (/ b a)))
(+ (* (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))
(* 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
20.0ms	b	@	-inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ (* (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) eps) (+ (/ 1 b) (/ 1 a))) (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) (+ (/ 1 b) (/ 1 a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ b a) (* b a)) (+ b a) (* b a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (/ a b) 1) a) (+ (/ a b) 1) (/ a b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) a) b) (/ (+ b a) a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) b) (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (/ 1 a) (* a 1/12) (* (* a 1/12) eps))
14.0ms	a	@	inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ (* (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) eps) (+ (/ 1 b) (/ 1 a))) (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) (+ (/ 1 b) (/ 1 a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ b a) (* b a)) (+ b a) (* b a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (/ a b) 1) a) (+ (/ a b) 1) (/ a b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) a) b) (/ (+ b a) a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) b) (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (/ 1 a) (* a 1/12) (* (* a 1/12) eps))
11.0ms	a	@	-inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ (* (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) eps) (+ (/ 1 b) (/ 1 a))) (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) (+ (/ 1 b) (/ 1 a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ b a) (* b a)) (+ b a) (* b a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (/ a b) 1) a) (+ (/ a b) 1) (/ a b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) a) b) (/ (+ b a) a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) b) (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (/ 1 a) (* a 1/12) (* (* a 1/12) eps))
4.0ms	b	@	inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ (* (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) eps) (+ (/ 1 b) (/ 1 a))) (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) (+ (/ 1 b) (/ 1 a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ b a) (* b a)) (+ b a) (* b a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (/ a b) 1) a) (+ (/ a b) 1) (/ a b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) a) b) (/ (+ b a) a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) b) (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (/ 1 a) (* a 1/12) (* (* a 1/12) eps))
4.0ms	b	@	0	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ (* (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) eps) (+ (/ 1 b) (/ 1 a))) (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) (+ (/ 1 b) (/ 1 a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ b a) (* b a)) (+ b a) (* b a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (/ a b) 1) a) (+ (/ a b) 1) (/ a b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) a) b) (/ (+ b a) a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) b) (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (/ 1 a) (* a 1/12) (* (* a 1/12) eps))

simplify140.0ms (0.6%)

Memory

22.8MiB live, 152.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	371	2444
1	1177	2158
2	4622	1950
0	8136	1765

Stop Event

1×	iter limit
1×	node limit

Counts

65 → 63

Calls

Call 1

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

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

rewrite201.0ms (0.8%)

Memory

25.4MiB live, 211.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	444
0	87	444
1	396	438
2	3142	432
0	10084	394

Stop Event

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

Counts

22 → 438

Calls

Call 1

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

Outputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 #s(approx (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) #s(literal 0 binary64)) eps (/.f64 (/.f64 (+.f64 b a) b) a)))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(approx (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) #s(literal 0 binary64)) eps) #s(literal 2 binary64)) (-.f64 (.f64 #s(approx (- ( (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) #s(literal 0 binary64)) eps) (/.f64 (/.f64 (+.f64 b a) b) a))) (.f64 (-.f64 (.f64 #s(approx (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) #s(literal 0 binary64)) eps) (/.f64 (/.f64 (+.f64 b a) b) a)) (pow.f64 (/.f64 (/.f64 (+.f64 b a) b) a) #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 #s(approx (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) #s(literal 0 binary64)) eps) (/.f64 (/.f64 (+.f64 b a) b) a)) (-.f64 (.f64 #s(approx (- ( (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) #s(literal 0 binary64)) eps) (/.f64 (/.f64 (+.f64 b a) b) a))))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(approx (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) #s(literal 0 binary64)) eps (pow.f64 b #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 a #s(literal -2 binary64))) (-.f64 (fma.f64 #s(approx (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) #s(literal 0 binary64)) eps (pow.f64 b #s(literal -1 binary64))) (pow.f64 a #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (+.f64 b a) b) a) #s(literal 2 binary64)) (pow.f64 (.f64 #s(approx (- ( (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) #s(literal 0 binary64)) eps) #s(literal 2 binary64))) (-.f64 (/.f64 (/.f64 (+.f64 b a) b) a) (.f64 #s(approx (- ( (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) #s(literal 0 binary64)) eps)))
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(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(approx (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) a) eps) eps (pow.f64 a #s(literal -1 binary64)))) b #s(literal 1 binary64))) b))
(neg.f64 (/.f64 (fma.f64 #s(approx (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) a) eps) eps (pow.f64 a #s(literal -1 binary64)))) b #s(literal 1 binary64)) (neg.f64 b)))
(fma.f64 (neg.f64 (pow.f64 b #s(literal -1/2 binary64))) (neg.f64 (pow.f64 b #s(literal -1/2 binary64))) (.f64 #s(approx ( eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) a) eps) eps (pow.f64 a #s(literal -1 binary64)))) (/.f64 b b)))
(fma.f64 (fabs.f64 (pow.f64 b #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 b #s(literal -1/2 binary64))) (.f64 #s(approx ( eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) a) eps) eps (pow.f64 a #s(literal -1 binary64)))) (/.f64 b b)))
(fma.f64 (pow.f64 b #s(literal -1/2 binary64)) (pow.f64 b #s(literal -1/2 binary64)) (.f64 #s(approx ( eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) a) eps) eps (pow.f64 a #s(literal -1 binary64)))) (/.f64 b b)))
(fma.f64 #s(approx (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) a) eps) eps (pow.f64 a #s(literal -1 binary64)))) (/.f64 b b) (pow.f64 b #s(literal -1 binary64)))
(fma.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 1 binary64) (.f64 #s(approx ( eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) a) eps) eps (pow.f64 a #s(literal -1 binary64)))) (/.f64 b b)))
(fma.f64 #s(literal 1 binary64) (pow.f64 b #s(literal -1 binary64)) (.f64 #s(approx ( eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) a) eps) eps (pow.f64 a #s(literal -1 binary64)))) (/.f64 b b)))
(fma.f64 b (/.f64 #s(approx (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) a) eps) eps (pow.f64 a #s(literal -1 binary64)))) b) (pow.f64 b #s(literal -1 binary64)))
(+.f64 (.f64 #s(approx ( eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) a) eps) eps (pow.f64 a #s(literal -1 binary64)))) (/.f64 b b)) (pow.f64 b #s(literal -1 binary64)))
(+.f64 (pow.f64 b #s(literal -1 binary64)) (.f64 #s(approx ( eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) a) eps) eps (pow.f64 a #s(literal -1 binary64)))) (/.f64 b b)))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(approx (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) a) eps) eps (pow.f64 a #s(literal -1 binary64)))) b) #s(literal 2 binary64)) (-.f64 (.f64 #s(approx ( eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) a) eps) eps (pow.f64 a #s(literal -1 binary64)))) b) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 #s(approx (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) a) eps) eps (pow.f64 a #s(literal -1 binary64)))) b) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 #s(approx (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) a) eps) eps (pow.f64 a #s(literal -1 binary64)))) b) #s(literal 1 binary64)) (-.f64 (.f64 #s(approx ( eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) a) eps) eps (pow.f64 a #s(literal -1 binary64)))) b) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(approx ( eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) a) eps) eps (pow.f64 a #s(literal -1 binary64)))) b) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(approx ( eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) a) eps) eps (pow.f64 a #s(literal -1 binary64)))) b)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx ( eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) a) eps) eps (pow.f64 a #s(literal -1 binary64)))) b) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 #s(approx ( eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) a) eps) eps (pow.f64 a #s(literal -1 binary64)))) b) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 #s(approx ( eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) a) eps) eps (pow.f64 a #s(literal -1 binary64)))) b) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx ( eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) a) eps) eps (pow.f64 a #s(literal -1 binary64)))) b)) (pow.f64 (.f64 #s(approx ( eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) a) eps) eps (pow.f64 a #s(literal -1 binary64)))) b) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(approx ( eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) a) eps) eps (pow.f64 a #s(literal -1 binary64)))) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 #s(approx ( eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) a) eps) eps (pow.f64 a #s(literal -1 binary64)))) b) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(approx ( eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) a) eps) eps (pow.f64 a #s(literal -1 binary64)))) b) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 #s(approx ( eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) a) eps) eps (pow.f64 a #s(literal -1 binary64)))) b) #s(literal 2 binary64)) (.f64 #s(approx ( eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) a) eps) eps (pow.f64 a #s(literal -1 binary64)))) b))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(approx ( eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) a) eps) eps (pow.f64 a #s(literal -1 binary64)))) b) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx ( eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) a) eps) eps (pow.f64 a #s(literal -1 binary64)))) b)) (pow.f64 (.f64 #s(approx ( eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) a) eps) eps (pow.f64 a #s(literal -1 binary64)))) b) #s(literal 2 binary64))))
(fma.f64 (.f64 #s(approx ( eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) a) eps) eps (pow.f64 a #s(literal -1 binary64)))) b) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(approx (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) a) eps) eps (pow.f64 a #s(literal -1 binary64)))) b #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 #s(approx ( eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) a) eps) eps (pow.f64 a #s(literal -1 binary64)))) b) #s(literal 1 binary64))
(fma.f64 b (.f64 #s(approx ( eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) a) eps) eps (pow.f64 a #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 b #s(approx (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) a) eps) eps (pow.f64 a #s(literal -1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 #s(approx ( eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) a) eps) eps (pow.f64 a #s(literal -1 binary64)))) b) #s(literal 2 binary64)) (-.f64 (.f64 #s(approx ( eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) a) eps) eps (pow.f64 a #s(literal -1 binary64)))) b) #s(literal 1 binary64))) (pow.f64 (-.f64 (.f64 #s(approx ( eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) a) eps) eps (pow.f64 a #s(literal -1 binary64)))) b) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 #s(approx ( eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) a) eps) eps (pow.f64 a #s(literal -1 binary64))))) b))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 b) #s(approx ( eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) a) eps) eps (pow.f64 a #s(literal -1 binary64))))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(approx ( eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) a) eps) eps (pow.f64 a #s(literal -1 binary64)))) b) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx ( eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) a) eps) eps (pow.f64 a #s(literal -1 binary64)))) b)) (pow.f64 (.f64 #s(approx ( eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) a) eps) eps (pow.f64 a #s(literal -1 binary64)))) b) #s(literal 2 binary64)))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx ( eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) a) eps) eps (pow.f64 a #s(literal -1 binary64)))) b)) (pow.f64 (.f64 #s(approx ( eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) a) eps) eps (pow.f64 a #s(literal -1 binary64)))) b) #s(literal 2 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 #s(approx ( eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) a) eps) eps (pow.f64 a #s(literal -1 binary64)))) b) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 #s(approx ( eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) a) eps) eps (pow.f64 a #s(literal -1 binary64)))) b))
#s(approx (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) a) eps) eps (pow.f64 a #s(literal -1 binary64))))
(*.f64 (neg.f64 (pow.f64 a #s(literal -1/2 binary64))) (neg.f64 (pow.f64 a #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 a #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 a #s(literal -1/2 binary64))))
(*.f64 (pow.f64 a #s(literal -1/2 binary64)) (pow.f64 a #s(literal -1/2 binary64)))
(*.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 a #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 a)) #s(literal -1 binary64))
(pow.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 a)) #s(literal -1 binary64))
(pow.f64 (*.f64 a a) #s(literal -1/2 binary64))
(pow.f64 a #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 a))
(/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 (neg.f64 a))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 a)))
(/.f64 #s(literal 1 binary64) (fabs.f64 a))
(/.f64 #s(literal 1 binary64) a)
(neg.f64 (/.f64 #s(literal -1 binary64) a))
(sqrt.f64 (pow.f64 a #s(literal -2 binary64)))
(fabs.f64 (/.f64 #s(literal -1 binary64) a))
(fabs.f64 (neg.f64 (pow.f64 a #s(literal -1 binary64))))
(fabs.f64 (pow.f64 a #s(literal -1 binary64)))
(+.f64 (cosh.f64 (neg.f64 (log.f64 a))) (sinh.f64 (neg.f64 (log.f64 a))))
(exp.f64 (neg.f64 (log.f64 a)))
(*.f64 #s(literal 1/12 binary64) a)
(*.f64 a #s(literal 1/12 binary64))
(log.f64 (pow.f64 (exp.f64 a) #s(literal 1/12 binary64)))
(.f64 (.f64 #s(literal 1/12 binary64) eps) a)
(.f64 (.f64 #s(literal 1/12 binary64) a) eps)
(.f64 #s(literal 1/12 binary64) (.f64 a eps))
(.f64 (.f64 a eps) #s(literal 1/12 binary64))
(.f64 a (.f64 #s(literal 1/12 binary64) eps))
(.f64 eps (.f64 #s(literal 1/12 binary64) a))
(log.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 1/12 binary64) eps)))

eval69.0ms (0.3%)

Memory: -4.7MiB live, 95.0MiB allocated
Compiler: Compiled 23 982 to 1 714 computations (92.9% saved)

prune10.0ms (0%)

Memory

-21.5MiB live, 24.0MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	379	2	381
Fresh	0	0	0
Picked	2	3	5
Done	0	2	2
Total	381	7	388

Accuracy

100.0%

Counts

388 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.0%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 #s(approx (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) #s(literal 0 binary64)) eps (/.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b)) a))))
✓	100.0%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 #s(approx (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) #s(literal 0 binary64)) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))
▶	99.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b))
✓	99.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a))
✓	63.3%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
✓	51.4%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
✓	47.2%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))

Compiler

Compiled 304 to 192 computations (36.8% saved)

simplify139.0ms (0.5%)

Memory

-7.9MiB live, 130.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	305
0	62	305
1	152	305
2	493	293
3	2810	287
0	8775	272

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

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

localize262.0ms (1%)

Memory

26.7MiB live, 301.8MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.3678512695368841	(pow.f64 (/.f64 a b) #s(literal 2 binary64))
accuracy	0.4554863769897463	(pow.f64 (/.f64 a b) #s(literal 3 binary64))
accuracy	2.401636638302813	(*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b)) a)
accuracy	13.720313909657449	(/.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b)) a))
accuracy	0.0	(/.f64 b a)
accuracy	0.0	(+.f64 (/.f64 b a) #s(literal 1 binary64))
accuracy	0.0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b))
accuracy	0.15625	(/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b)

Samples

227.0ms

256×

valid

Compiler

Compiled 237 to 46 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 194.0ms

ival-div: 55.0ms (28.4% of total)

ival-mult: 54.0ms (27.9% of total)

adjust: 37.0ms (19.1% of total)

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

ival-pow2: 11.0ms (5.7% of total)

ival-pow: 8.0ms (4.1% of total)

ival-expm1: 8.0ms (4.1% of total)

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

exact: 1.0ms (0.5% of total)

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

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

series58.0ms (0.2%)

Memory

-14.1MiB live, 85.6MiB allocated

Counts

11 → 48

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

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

Calls

9 calls:

Time	Variable		Point	Expression
26.0ms	a	@	0	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (/ b a) 1) b) (+ (/ b a) 1) (/ b a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ (* (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) eps) (/ (+ (pow (/ a b) 3) 1) (* (- (+ (pow (/ a b) 2) 1) (/ a b)) a))) (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) (/ (+ (pow (/ a b) 3) 1) (* (- (+ (pow (/ a b) 2) 1) (/ a b)) a)) (* (- (+ (pow (/ a b) 2) 1) (/ a b)) a) (pow (/ a b) 3) (pow (/ a b) 2))
6.0ms	b	@	0	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (/ b a) 1) b) (+ (/ b a) 1) (/ b a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ (* (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) eps) (/ (+ (pow (/ a b) 3) 1) (* (- (+ (pow (/ a b) 2) 1) (/ a b)) a))) (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) (/ (+ (pow (/ a b) 3) 1) (* (- (+ (pow (/ a b) 2) 1) (/ a b)) a)) (* (- (+ (pow (/ a b) 2) 1) (/ a b)) a) (pow (/ a b) 3) (pow (/ a b) 2))
5.0ms	eps	@	-inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (/ b a) 1) b) (+ (/ b a) 1) (/ b a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ (* (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) eps) (/ (+ (pow (/ a b) 3) 1) (* (- (+ (pow (/ a b) 2) 1) (/ a b)) a))) (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) (/ (+ (pow (/ a b) 3) 1) (* (- (+ (pow (/ a b) 2) 1) (/ a b)) a)) (* (- (+ (pow (/ a b) 2) 1) (/ a b)) a) (pow (/ a b) 3) (pow (/ a b) 2))
4.0ms	a	@	-inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (/ b a) 1) b) (+ (/ b a) 1) (/ b a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ (* (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) eps) (/ (+ (pow (/ a b) 3) 1) (* (- (+ (pow (/ a b) 2) 1) (/ a b)) a))) (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) (/ (+ (pow (/ a b) 3) 1) (* (- (+ (pow (/ a b) 2) 1) (/ a b)) a)) (* (- (+ (pow (/ a b) 2) 1) (/ a b)) a) (pow (/ a b) 3) (pow (/ a b) 2))
4.0ms	b	@	-inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (/ b a) 1) b) (+ (/ b a) 1) (/ b a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ (* (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) eps) (/ (+ (pow (/ a b) 3) 1) (* (- (+ (pow (/ a b) 2) 1) (/ a b)) a))) (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) (/ (+ (pow (/ a b) 3) 1) (* (- (+ (pow (/ a b) 2) 1) (/ a b)) a)) (* (- (+ (pow (/ a b) 2) 1) (/ a b)) a) (pow (/ a b) 3) (pow (/ a b) 2))

simplify165.0ms (0.7%)

Memory

24.9MiB live, 208.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	313	1542
1	977	1485
2	3762	1373
0	8601	1262

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 47

Calls

Call 1

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

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

rewrite203.0ms (0.8%)

Memory

-9.1MiB live, 225.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	267
0	62	267
1	305	261
2	2695	255
0	9352	243

Stop Event

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

Counts

11 → 182

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

Outputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 b a) b) #s(literal 2 binary64)) (pow.f64 b #s(literal -2 binary64))) (/.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) b))
(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 b a) b) #s(literal 3 binary64)) (pow.f64 b #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (/.f64 b a) b) #s(literal 2 binary64)) (-.f64 (pow.f64 b #s(literal -2 binary64)) (*.f64 (/.f64 (/.f64 b a) b) (pow.f64 b #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)))) (neg.f64 (neg.f64 b)))
(/.f64 (fma.f64 (/.f64 b a) b (.f64 b #s(literal 1 binary64))) (.f64 b b))
(/.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) b))
(/.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 b a)) b))
(/.f64 (neg.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64))) (neg.f64 b))
(/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b)
(neg.f64 (/.f64 (neg.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64))) b))
(neg.f64 (/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) (neg.f64 b)))
(+.f64 (pow.f64 b #s(literal -1 binary64)) (/.f64 (/.f64 b a) b))
(+.f64 (/.f64 (/.f64 b a) b) (pow.f64 b #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 (/.f64 b a) #s(literal 1 binary64))) (.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) (-.f64 (/.f64 b a) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 b a))))
(/.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 b a) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 b (/.f64 b a)) b) a)))
(/.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 b a)))
(fma.f64 (/.f64 b a) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 b a) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 (/.f64 b a) #s(literal 1 binary64))) (pow.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 b a))) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 b a)) #s(literal -1 binary64)))
(+.f64 (/.f64 b a) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(*.f64 (/.f64 b a) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 b a))
(/.f64 (*.f64 (neg.f64 b) #s(literal 1 binary64)) (neg.f64 a))
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 a)))
(/.f64 (*.f64 b #s(literal 1 binary64)) a)
(/.f64 (neg.f64 b) (neg.f64 a))
(/.f64 b a)
(neg.f64 (/.f64 (neg.f64 b) a))
(neg.f64 (/.f64 b (neg.f64 a)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 #s(approx (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) #s(literal 0 binary64)) eps (/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) #s(literal 1 binary64)) a) (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(approx (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) #s(literal 0 binary64)) eps) #s(literal 2 binary64)) (-.f64 (.f64 #s(approx (- ( (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) #s(literal 0 binary64)) eps) (/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) #s(literal 1 binary64)) a) (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b))))) (.f64 (-.f64 (.f64 #s(approx (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) #s(literal 0 binary64)) eps) (/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) #s(literal 1 binary64)) a) (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b)))) (pow.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) #s(literal 1 binary64)) a) (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b))) #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 #s(approx (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) #s(literal 0 binary64)) eps) (/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) #s(literal 1 binary64)) a) (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b)))) (-.f64 (.f64 #s(approx (- ( (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) #s(literal 0 binary64)) eps) (/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) #s(literal 1 binary64)) a) (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) #s(literal 1 binary64)) a) (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b))) #s(literal 2 binary64)) (pow.f64 (.f64 #s(approx (- ( (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) #s(literal 0 binary64)) eps) #s(literal 2 binary64))) (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) #s(literal 1 binary64)) a) (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b))) (.f64 #s(approx (- ( (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) #s(literal 0 binary64)) eps)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx (- ( (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) #s(literal 0 binary64)) eps) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) #s(literal 1 binary64)) a) (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 #s(approx (- ( (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) #s(literal 0 binary64)) eps) (/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) #s(literal 1 binary64)) a) (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b))))))
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(/.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 9 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 a b) #s(literal 3 binary64))) (.f64 (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b)) a)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (neg.f64 a) (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b))))
(/.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b)) a))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b)) a)))
(neg.f64 (/.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 a) (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b)))))
(fma.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b)) #s(literal -1 binary64)) (/.f64 (/.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) a) (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b))))
(fma.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b)) #s(literal -1 binary64)) (pow.f64 a #s(literal -1 binary64)) (/.f64 (/.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) a) (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b))))
(fma.f64 (/.f64 (pow.f64 (/.f64 a b) #s(literal 3/2 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b))) (/.f64 (pow.f64 (/.f64 a b) #s(literal 3/2 binary64)) a) (/.f64 (pow.f64 a #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b))))
(fma.f64 (/.f64 (pow.f64 (/.f64 a b) #s(literal 3/2 binary64)) a) (/.f64 (pow.f64 (/.f64 a b) #s(literal 3/2 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b))) (/.f64 (pow.f64 a #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b))))
(fma.f64 (/.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) a) (/.f64 (/.f64 a b) (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b))) (/.f64 (pow.f64 a #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b))))
(fma.f64 (/.f64 (/.f64 a b) (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b))) (/.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) a) (/.f64 (pow.f64 a #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b))))
(fma.f64 (/.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b))) (/.f64 (/.f64 a b) a) (/.f64 (pow.f64 a #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b))))
(fma.f64 (/.f64 (/.f64 a b) a) (/.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b))) (/.f64 (pow.f64 a #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b))))
(fma.f64 (pow.f64 (/.f64 a b) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (/.f64 a b) #s(literal 3/2 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b)) a)) (/.f64 (pow.f64 a #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b))))
(fma.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) (/.f64 (/.f64 a b) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b)) a)) (/.f64 (pow.f64 a #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b))))
(fma.f64 (/.f64 a b) (/.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b)) a)) (/.f64 (pow.f64 a #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b))))
(+.f64 (/.f64 (pow.f64 a #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b))) (/.f64 (/.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) a) (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b))))
(+.f64 (/.f64 (/.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) a) (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b))) (/.f64 (pow.f64 a #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b))))
(*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b)) a)
(*.f64 a (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b)))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 a b) #s(literal 2 binary64))) a) (+.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b)))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 a b) #s(literal 3 binary64))) a) (fma.f64 (/.f64 a b) (+.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b)) (pow.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (*.f64 a (-.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 a b) #s(literal 2 binary64)))) (+.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b)))
(/.f64 (*.f64 a (-.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 a b) #s(literal 3 binary64)))) (fma.f64 (/.f64 a b) (+.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b)) (pow.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) a (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a))
(fma.f64 a (pow.f64 (/.f64 a b) #s(literal 2 binary64)) (*.f64 a (-.f64 #s(literal 1 binary64) (/.f64 a b))))
(+.f64 (.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) a) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a))
(+.f64 (.f64 a (pow.f64 (/.f64 a b) #s(literal 2 binary64))) (.f64 a (-.f64 #s(literal 1 binary64) (/.f64 a b))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 a b) #s(literal 3/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 (/.f64 a b) #s(literal 3/2 binary64)))))
(*.f64 (pow.f64 (neg.f64 (/.f64 a b)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (/.f64 a b)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 a b)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 a b)) #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 (/.f64 a b) #s(literal 3 binary64)))
(*.f64 (neg.f64 (pow.f64 (/.f64 a b) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 (/.f64 a b) #s(literal 3/2 binary64))))
(.f64 (pow.f64 (/.f64 a b) #s(literal 3/2 binary64)) (fabs.f64 (.f64 (pow.f64 (/.f64 a b) #s(literal 3/2 binary64)) #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 a b) #s(literal 3/2 binary64)) (pow.f64 (.f64 (/.f64 a b) #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (/.f64 a b) #s(literal 3/2 binary64)) (.f64 (pow.f64 (/.f64 a b) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 a b) #s(literal 3/2 binary64)) (pow.f64 (/.f64 a b) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) (fabs.f64 (.f64 (/.f64 a b) #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) (.f64 (/.f64 a b) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) (/.f64 a b))
(*.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 a b) (pow.f64 (/.f64 a b) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a b) #s(literal 3 binary64)))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (/.f64 a b)))
(pow.f64 (neg.f64 (pow.f64 (/.f64 a b) #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 a b) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 a b) #s(literal 3 binary64))
(/.f64 (fabs.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1 binary64))) (fabs.f64 (pow.f64 b #s(literal 3 binary64))))
(/.f64 (fabs.f64 (*.f64 (neg.f64 a) (pow.f64 (/.f64 a b) #s(literal 2 binary64)))) (fabs.f64 b))
(/.f64 (fabs.f64 (*.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) (neg.f64 a))) (fabs.f64 b))
(/.f64 (fabs.f64 (*.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) a)) (fabs.f64 b))
(/.f64 (fabs.f64 (*.f64 a (pow.f64 (/.f64 a b) #s(literal 2 binary64)))) (fabs.f64 b))
(/.f64 (fabs.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64))) (fabs.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64))))
(/.f64 (fabs.f64 (pow.f64 a #s(literal 3 binary64))) (fabs.f64 (pow.f64 b #s(literal 3 binary64))))
(/.f64 (pow.f64 (neg.f64 (neg.f64 a)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 b)) #s(literal 3 binary64)))
(/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 b #s(literal 3 binary64)))
(/.f64 (*.f64 (neg.f64 a) (pow.f64 (/.f64 a b) #s(literal 2 binary64))) (neg.f64 b))
(/.f64 (*.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) (neg.f64 a)) (neg.f64 b))
(/.f64 (*.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) a) b)
(/.f64 (*.f64 a (pow.f64 (/.f64 a b) #s(literal 2 binary64))) b)
(/.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (pow.f64 (neg.f64 b) #s(literal 3 binary64)))
(/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))
(neg.f64 (pow.f64 (/.f64 (neg.f64 a) b) #s(literal 3 binary64)))
(neg.f64 (pow.f64 (/.f64 a (neg.f64 b)) #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 (/.f64 a b) #s(literal 6 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64))))
(fabs.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)))))
(exp.f64 (-.f64 (.f64 (log.f64 a) #s(literal 3 binary64)) (.f64 (log.f64 b) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (log.f64 (/.f64 a b)) #s(literal 3/2 binary64) (*.f64 (log.f64 (/.f64 a b)) #s(literal 3/2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 a b)) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 a b) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(exp.f64 (log.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64))))
(*.f64 (neg.f64 (neg.f64 (/.f64 a b))) (neg.f64 (neg.f64 (/.f64 a b))))
(*.f64 (pow.f64 (neg.f64 (/.f64 a b)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (/.f64 a b)) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 a) b) (/.f64 (neg.f64 a) b))
(*.f64 (/.f64 a (neg.f64 b)) (/.f64 a (neg.f64 b)))
(*.f64 (neg.f64 (/.f64 a b)) (neg.f64 (/.f64 a b)))
(*.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 (/.f64 a b) (fabs.f64 (.f64 (/.f64 a b) #s(literal 1 binary64))))
(.f64 (/.f64 a b) (pow.f64 (.f64 (/.f64 a b) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 a b) (.f64 (/.f64 a b) #s(literal 1 binary64)))
(*.f64 (/.f64 a b) (/.f64 a b))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a b) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (/.f64 a b)))
(pow.f64 (neg.f64 (/.f64 a b)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 a b) #s(literal 2 binary64))
(/.f64 (fabs.f64 (*.f64 (neg.f64 a) (/.f64 a b))) (fabs.f64 b))
(/.f64 (fabs.f64 (*.f64 a (/.f64 a b))) (fabs.f64 b))
(/.f64 (fabs.f64 (*.f64 (/.f64 a b) (neg.f64 a))) (fabs.f64 b))
(/.f64 (fabs.f64 (*.f64 (/.f64 a b) a)) (fabs.f64 b))
(/.f64 (fabs.f64 (.f64 (neg.f64 a) a)) (fabs.f64 (.f64 (neg.f64 b) b)))
(/.f64 (fabs.f64 (.f64 a (neg.f64 a))) (fabs.f64 (.f64 b (neg.f64 b))))
(/.f64 (*.f64 (neg.f64 a) (/.f64 a b)) (neg.f64 b))
(/.f64 (*.f64 a (/.f64 a b)) b)
(/.f64 (*.f64 (/.f64 a b) (neg.f64 a)) (neg.f64 b))
(/.f64 (*.f64 (/.f64 a b) a) b)
(/.f64 (.f64 (neg.f64 a) a) (.f64 (neg.f64 b) b))
(/.f64 (.f64 a (neg.f64 a)) (.f64 b (neg.f64 b)))
(/.f64 (.f64 a a) (.f64 b b))
(sqrt.f64 (pow.f64 (/.f64 a b) #s(literal 4 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64))))

eval32.0ms (0.1%)

Memory: 8.0MiB live, 52.9MiB allocated
Compiler: Compiled 18 493 to 1 246 computations (93.3% saved)

prune9.0ms (0%)

Memory

20.1MiB live, 20.1MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	211	1	212
Fresh	0	0	0
Picked	1	1	2
Done	0	5	5
Total	212	7	219

Accuracy

100.0%

Counts

219 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 #s(approx (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) #s(literal 0 binary64)) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))
	91.6%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) b)))
✓	99.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b))
✓	99.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a))
✓	63.3%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
✓	51.4%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
✓	47.2%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))

Compiler

Compiled 859 to 303 computations (64.7% saved)

regimes19.0ms (0.1%)

Memory

-26.5MiB live, 26.1MiB allocated

Counts

14 → 1

Calls

Call 1

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

Calls

4 calls:

7.0ms	a
4.0ms	eps
4.0ms	b
3.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
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)

regimes10.0ms (0%)

Memory

16.8MiB live, 16.8MiB allocated

Counts

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.8%	1	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`
99.8%	1	`a`
99.8%	1	`b`
99.8%	1	`eps`

Compiler

Compiled 27 to 26 computations (3.7% saved)

regimes6.0ms (0%)

Memory

12.3MiB live, 12.3MiB allocated

Counts

3 → 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)))

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

Results

Accuracy	Segments	Branch
63.3%	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))))`
82.6%	3	`a`
83.9%	3	`b`
77.5%	4	`eps`

Compiler

Compiled 27 to 26 computations (3.7% saved)

regimes1.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
81.2%	2	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0%)

Memory

-36.8MiB live, 9.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
47.2%	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))))`
47.2%	1	`eps`
47.2%	1	`a`
47.2%	1	`b`

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch36.0ms (0.1%)

Memory

7.3MiB live, 52.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	5.221678420972007e-79	2.429777703196769e-77
15.0ms	4.002651482181908e-184	1.5382526580432502e-179

Samples

23.0ms

240×

valid

Compiler

Compiled 895 to 656 computations (26.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 7.0ms (51.4% of total)

ival-expm1: 4.0ms (29.4% of total)

ival-div: 2.0ms (14.7% of total)

ival-add: 1.0ms (7.3% of total)

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

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

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.002651482181908e-184	1.5382526580432502e-179

Compiler

Compiled 475 to 355 computations (25.3% saved)

simplify57.0ms (0.2%)

Memory

10.6MiB live, 54.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 #s(approx (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) #s(literal 0 binary64)) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a))
(if (<=.f64 b #s(literal 4087946793389487/1167984798111281975972139931059274579172666497855631342228273284582214442805421410945513679697247078343332431250840168271536308408672112127552681297848886832192510636636227827221215793215130566656 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 2294517323743165/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048 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 4087946793389487/1167984798111281975972139931059274579172666497855631342228273284582214442805421410945513679697247078343332431250840168271536308408672112127552681297848886832192510636636227827221215793215130566656 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))

Outputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 #s(approx (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) #s(literal 0 binary64)) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 #s(approx (- (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (* (* (* (* b a) (+ b a)) 1/2) (/ (+ b a) (* (* (* b a) a) b)))) #s(literal 0 binary64)) eps (+.f64 (pow.f64 b #s(literal -1 binary64)) (pow.f64 a #s(literal -1 binary64)))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a))
(if (<=.f64 b #s(literal 4087946793389487/1167984798111281975972139931059274579172666497855631342228273284582214442805421410945513679697247078343332431250840168271536308408672112127552681297848886832192510636636227827221215793215130566656 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 2294517323743165/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048 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 4087946793389487/1167984798111281975972139931059274579172666497855631342228273284582214442805421410945513679697247078343332431250840168271536308408672112127552681297848886832192510636636227827221215793215130566656 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 2294517323743165/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048 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 4087946793389487/1167984798111281975972139931059274579172666497855631342228273284582214442805421410945513679697247078343332431250840168271536308408672112127552681297848886832192510636636227827221215793215130566656 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 4087946793389487/1167984798111281975972139931059274579172666497855631342228273284582214442805421410945513679697247078343332431250840168271536308408672112127552681297848886832192510636636227827221215793215130566656 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)))

soundness491.0ms (1.9%)

Memory

6.8MiB live, 373.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	489	2949
1	1578	2609
2	5992	2591
0	8197	2355
0	53	400
0	84	390
1	355	380
2	2810	374
0	9890	354
0	336	1738
1	1195	1690
2	4974	1618
0	8077	1458

Stop Event

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

Compiler

Compiled 413 to 161 computations (61% saved)

preprocess78.0ms (0.3%)

Memory: 1.1MiB live, 141.7MiB allocated
Remove: (sort a b)
Compiler: Compiled 1 046 to 404 computations (61.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze206.0ms (0.8%)

sample19.6s (77.7%)

explain317.0ms (1.3%)

preprocess308.0ms (1.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify157.0ms (0.6%)

localize141.0ms (0.6%)

series21.0ms (0.1%)

simplify209.0ms (0.8%)

rewrite158.0ms (0.6%)

eval56.0ms (0.2%)

prune13.0ms (0.1%)

simplify120.0ms (0.5%)

localize327.0ms (1.3%)

series104.0ms (0.4%)

simplify168.0ms (0.7%)

rewrite217.0ms (0.9%)

eval125.0ms (0.5%)

prune430.0ms (1.7%)

simplify128.0ms (0.5%)

localize367.0ms (1.5%)

series66.0ms (0.3%)

simplify140.0ms (0.6%)

rewrite201.0ms (0.8%)

eval69.0ms (0.3%)

prune10.0ms (0%)

simplify139.0ms (0.5%)

localize262.0ms (1%)

series58.0ms (0.2%)

simplify165.0ms (0.7%)

rewrite203.0ms (0.8%)

eval32.0ms (0.1%)

prune9.0ms (0%)

regimes19.0ms (0.1%)

regimes10.0ms (0%)

regimes6.0ms (0%)

regimes1.0ms (0%)

regimes6.0ms (0%)

bsearch36.0ms (0.1%)

bsearch1.0ms (0%)

simplify57.0ms (0.2%)

soundness491.0ms (1.9%)

preprocess78.0ms (0.3%)

end0.0ms (0%)

Profiling