Metrics for expq3 (problem 3.4.2)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze220.0ms (0.9%)

Memory

-12.0MiB live, 143.8MiB 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)

sample21.4s (83.5%)

Memory

160.2MiB live, 17 222.7MiB allocated

Samples

14.3s	63 623×	0	invalid
1.5s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 12.2s

ival-mult: 3.7s (30.1% of total)

ival-expm1: 2.0s (16.5% of total)

const: 1.7s (14.1% of total)

ival-<=: 1.1s (9.1% of total)

ival-fabs: 1.0s (8.3% of total)

ival-add: 897.0ms (7.3% of total)

ival-fmin: 771.0ms (6.3% of total)

ival-div: 735.0ms (6% of total)

ival-and: 211.0ms (1.7% of total)

exact: 48.0ms (0.4% of total)

ival-assert: 27.0ms (0.2% of total)

Bogosity

explain222.0ms (0.9%)

Memory

3.3MiB live, 440.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
239	0	-	2	(-5.46023499803409e-56 -4.0840505268239927e-78 4.8215011412981816e-92)	`(/.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))))`
147	1	(3.8854897114320925e-16 1.3292460305785866e-282 1.6517347036216083e-307)	0	-	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`
112	1	(3.8854897114320925e-16 1.3292460305785866e-282 1.6517347036216083e-307)	0	-	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`
101	1	(-3.2690162579664063e-109 -1.192825403231918e-149 2.621075566443174e-174)	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	213	0
↳	`(.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))`	underflow	213
↳	`(*.f64 (+.f64 a b) eps)`	underflow	108
↳	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`	underflow	108
↳	`(*.f64 b eps)`	underflow	154
↳	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	underflow	143
↳	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	underflow	154
↳	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`	underflow	237
↳	`(*.f64 a eps)`	underflow	143
`-.f64`	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`	cancellation	148	0
`-.f64`	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	cancellation	113	0
`-.f64`	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	cancellation	102	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	24	0
↳	`(*.f64 b eps)`	underflow	154
↳	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	underflow	143
↳	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	underflow	154
↳	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`	underflow	237
↳	`(*.f64 a eps)`	underflow	143

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	108
3	100
4	48

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

66.0ms

512×

valid

Compiler

Compiled 325 to 72 computations (77.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 18.0ms (42.6% of total)

ival-exp: 10.0ms (23.7% of total)

ival-expm1: 8.0ms (18.9% of total)

ival-div: 3.0ms (7.1% of total)

ival-add: 3.0ms (7.1% of total)

ival-true: 1.0ms (2.4% of total)

exact: 0.0ms (0% of total)

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

preprocess195.0ms (0.8%)

Memory

10.4MiB live, 168.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	233
1	250	229
2	708	227
3	2151	224
4	7041	224
0	17	24
0	30	24
1	56	24
2	109	24
3	176	24
4	327	24
5	655	24
6	1264	24
7	3455	24
8	6175	24
9	7511	24
10	7817	24
11	7898	24
12	7928	24
0	8057	18

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(sort a b)

Compiler

Compiled 24 to 17 computations (29.2% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

simplify152.0ms (0.6%)

Memory

-1.4MiB live, 75.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	99
0	30	99
1	56	99
2	109	99
3	176	99
4	327	99
5	655	99
6	1264	99
7	3455	99
8	6175	99
9	7511	99
10	7817	99
11	7898	99
12	7928	99
0	8057	81

Stop Event

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

Calls

Call 1

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

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

localize113.0ms (0.4%)

Memory

-10.5MiB live, 69.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	23.001383875596193	(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))
accuracy	24.23306004769958	(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))
accuracy	32.21471745635381	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))
accuracy	57.56001836530433	(/.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

61.0ms

256×

valid

Compiler

Compiled 200 to 36 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-expm1: 34.0ms (67.9% of total)

ival-mult: 7.0ms (14% of total)

ival-exp: 5.0ms (10% of total)

ival-div: 2.0ms (4% of total)

ival-add: 2.0ms (4% of total)

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

exact: 0.0ms (0% of total)

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

series30.0ms (0.1%)

Memory

-9.8MiB live, 28.6MiB allocated

Counts

5 → 59

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
12.0ms	eps	@	0	((- (exp (* (+ a b) eps)) 1) (- (exp (* a eps)) 1) (- (exp (* b eps)) 1) (* eps (- (exp (* (+ a b) eps)) 1)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))))
3.0ms	b	@	-inf	((- (exp (* (+ a b) eps)) 1) (- (exp (* a eps)) 1) (- (exp (* b eps)) 1) (* eps (- (exp (* (+ a b) eps)) 1)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))))
3.0ms	eps	@	-inf	((- (exp (* (+ a b) eps)) 1) (- (exp (* a eps)) 1) (- (exp (* b eps)) 1) (* eps (- (exp (* (+ a b) eps)) 1)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))))
2.0ms	a	@	-inf	((- (exp (* (+ a b) eps)) 1) (- (exp (* a eps)) 1) (- (exp (* b eps)) 1) (* eps (- (exp (* (+ a b) eps)) 1)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))))
2.0ms	a	@	0	((- (exp (* (+ a b) eps)) 1) (- (exp (* a eps)) 1) (- (exp (* b eps)) 1) (* eps (- (exp (* (+ a b) eps)) 1)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))))

simplify229.0ms (0.9%)

Memory

6.8MiB live, 164.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

59 → 59

Calls

Call 1

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

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

rewrite207.0ms (0.8%)

Memory

16.3MiB live, 132.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 416

Calls

Call 1

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

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

eval73.0ms (0.3%)

Memory: -16.1MiB live, 57.6MiB allocated
Compiler: Compiled 18 301 to 1 811 computations (90.1% saved)

prune9.0ms (0%)

Memory

24.1MiB live, 24.1MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

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

Accuracy

100.0%

Counts

468 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	9.7%	(.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (/.f64 eps (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a)))))
▶	40.3%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64)) (.f64 b b)) (/.f64 (/.f64 (+.f64 b a) a) a) (.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a))) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))
▶	99.7%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) b) a))
▶	50.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
▶	49.9%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))

Compiler

Compiled 350 to 228 computations (34.9% saved)

simplify233.0ms (0.9%)

Memory

17.3MiB live, 134.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 b a)
cost-diff	0	(*.f64 eps (+.f64 b a))
cost-diff	0	(expm1.f64 (*.f64 eps (+.f64 b a)))
cost-diff	0	(.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (/.f64 eps (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a)))))
cost-diff	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64)) (.f64 b b)) (/.f64 (/.f64 (+.f64 b a) a) a) (.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a))) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))
cost-diff	512	(fma.f64 (.f64 b a) b (.f64 (*.f64 b a) a))
cost-diff	640	(/.f64 (.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64)) (*.f64 b b))
cost-diff	2304	(fma.f64 (/.f64 (.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64)) (.f64 b b)) (/.f64 (/.f64 (+.f64 b a) a) a) (.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a)))
cost-diff	0	(/.f64 #s(literal 1 binary64) b)
cost-diff	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
cost-diff	0	(/.f64 #s(literal 1 binary64) a)
cost-diff	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
cost-diff	0	(+.f64 b a)
cost-diff	0	(/.f64 (+.f64 b a) b)
cost-diff	0	(/.f64 (/.f64 (+.f64 b a) b) a)
cost-diff	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) b) a))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	53	442
0	88	400
1	174	400
2	344	397
3	1074	375
4	4768	351
5	6278	351
0	8260	351

Stop Event

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

Calls

Call 1

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

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

localize381.0ms (1.5%)

Memory

8.5MiB live, 396.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.014003759768442016	(.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a)))
accuracy	0.01953125	(*.f64 eps (+.f64 b a))
accuracy	5.309062414391636	(/.f64 eps (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a))))
accuracy	51.304114589111066	(.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (/.f64 eps (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a)))))
accuracy	0.2734375	(*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a))
accuracy	11.327813151715162	(/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a)
accuracy	42.38729005315687	(/.f64 (.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64)) (*.f64 b b))
accuracy	62.422139105956724	(fma.f64 (/.f64 (.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64)) (.f64 b b)) (/.f64 (/.f64 (+.f64 b a) a) a) (.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a)))
accuracy	0	(/.f64 #s(literal 1 binary64) b)
accuracy	31.465811103262762	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
accuracy	0	(/.f64 #s(literal 1 binary64) a)
accuracy	32.049580917045255	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
accuracy	0	(+.f64 b a)
accuracy	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) b) a))
accuracy	0.01171875	(/.f64 (+.f64 b a) b)
accuracy	0.15625	(/.f64 (/.f64 (+.f64 b a) b) a)

Samples

330.0ms

256×

valid

Compiler

Compiled 853 to 105 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 257.0ms

ival-mult: 86.0ms (33.4% of total)

ival-div: 69.0ms (26.8% of total)

ival-expm1: 40.0ms (15.6% of total)

adjust: 37.0ms (14.4% of total)

ival-add: 19.0ms (7.4% of total)

ival-pow2: 6.0ms (2.3% of total)

exact: 1.0ms (0.4% of total)

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

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

series71.0ms (0.3%)

Memory

-13.0MiB live, 103.6MiB allocated

Counts

19 → 118

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
14.0ms	b	@	0	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (+ b a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 b) (+ (* (/ (* (+ (* (* b a) b) (* (* b a) a)) -1/2) (* b b)) (/ (/ (+ b a) a) a)) (* (/ 1/2 b) (/ (pow (+ b a) 2) a))) (/ (* (+ (* (* b a) b) (* (* b a) a)) -1/2) (* b b)) (+ (* (* b a) b) (* (* b a) a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (* (- (exp (* eps (+ b a))) 1) (/ eps (* (- (exp (* eps b)) 1) (- (exp (* eps a)) 1)))) (- (exp (* eps (+ b a))) 1) (* eps (+ b a)) (/ (pow (+ b a) 2) a) (* (/ 1/2 b) (/ (pow (+ b a) 2) a)) (/ eps (* (- (exp (* eps b)) 1) (- (exp (* eps a)) 1))) (* (- (exp (* eps b)) 1) (- (exp (* eps a)) 1)))
13.0ms	a	@	0	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (+ b a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 b) (+ (* (/ (* (+ (* (* b a) b) (* (* b a) a)) -1/2) (* b b)) (/ (/ (+ b a) a) a)) (* (/ 1/2 b) (/ (pow (+ b a) 2) a))) (/ (* (+ (* (* b a) b) (* (* b a) a)) -1/2) (* b b)) (+ (* (* b a) b) (* (* b a) a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (* (- (exp (* eps (+ b a))) 1) (/ eps (* (- (exp (* eps b)) 1) (- (exp (* eps a)) 1)))) (- (exp (* eps (+ b a))) 1) (* eps (+ b a)) (/ (pow (+ b a) 2) a) (* (/ 1/2 b) (/ (pow (+ b a) 2) a)) (/ eps (* (- (exp (* eps b)) 1) (- (exp (* eps a)) 1))) (* (- (exp (* eps b)) 1) (- (exp (* eps a)) 1)))
7.0ms	a	@	inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (+ b a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 b) (+ (* (/ (* (+ (* (* b a) b) (* (* b a) a)) -1/2) (* b b)) (/ (/ (+ b a) a) a)) (* (/ 1/2 b) (/ (pow (+ b a) 2) a))) (/ (* (+ (* (* b a) b) (* (* b a) a)) -1/2) (* b b)) (+ (* (* b a) b) (* (* b a) a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (* (- (exp (* eps (+ b a))) 1) (/ eps (* (- (exp (* eps b)) 1) (- (exp (* eps a)) 1)))) (- (exp (* eps (+ b a))) 1) (* eps (+ b a)) (/ (pow (+ b a) 2) a) (* (/ 1/2 b) (/ (pow (+ b a) 2) a)) (/ eps (* (- (exp (* eps b)) 1) (- (exp (* eps a)) 1))) (* (- (exp (* eps b)) 1) (- (exp (* eps a)) 1)))
7.0ms	a	@	-inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (+ b a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 b) (+ (* (/ (* (+ (* (* b a) b) (* (* b a) a)) -1/2) (* b b)) (/ (/ (+ b a) a) a)) (* (/ 1/2 b) (/ (pow (+ b a) 2) a))) (/ (* (+ (* (* b a) b) (* (* b a) a)) -1/2) (* b b)) (+ (* (* b a) b) (* (* b a) a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (* (- (exp (* eps (+ b a))) 1) (/ eps (* (- (exp (* eps b)) 1) (- (exp (* eps a)) 1)))) (- (exp (* eps (+ b a))) 1) (* eps (+ b a)) (/ (pow (+ b a) 2) a) (* (/ 1/2 b) (/ (pow (+ b a) 2) a)) (/ eps (* (- (exp (* eps b)) 1) (- (exp (* eps a)) 1))) (* (- (exp (* eps b)) 1) (- (exp (* eps a)) 1)))
7.0ms	b	@	-inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (+ b a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 b) (+ (* (/ (* (+ (* (* b a) b) (* (* b a) a)) -1/2) (* b b)) (/ (/ (+ b a) a) a)) (* (/ 1/2 b) (/ (pow (+ b a) 2) a))) (/ (* (+ (* (* b a) b) (* (* b a) a)) -1/2) (* b b)) (+ (* (* b a) b) (* (* b a) a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (* (- (exp (* eps (+ b a))) 1) (/ eps (* (- (exp (* eps b)) 1) (- (exp (* eps a)) 1)))) (- (exp (* eps (+ b a))) 1) (* eps (+ b a)) (/ (pow (+ b a) 2) a) (* (/ 1/2 b) (/ (pow (+ b a) 2) a)) (/ eps (* (- (exp (* eps b)) 1) (- (exp (* eps a)) 1))) (* (- (exp (* eps b)) 1) (- (exp (* eps a)) 1)))

simplify152.0ms (0.6%)

Memory

27.1MiB live, 179.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	589	3040
1	1930	2872
2	6663	2852
0	8193	2521

Stop Event

1×	iter limit
1×	node limit

Counts

118 → 116

Calls

Call 1

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

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

rewrite170.0ms (0.7%)

Memory

-11.0MiB live, 183.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	306
0	88	270
1	392	270
2	3298	268
0	8720	266

Stop Event

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

Counts

19 → 763

Calls

Call 1

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

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

eval165.0ms (0.6%)

Memory: -1.7MiB live, 227.6MiB allocated
Compiler: Compiled 56 236 to 4 691 computations (91.7% saved)

prune19.0ms (0.1%)

Memory

19.5MiB live, 58.1MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	1 062	2	1 064
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	1 064	5	1 069

Accuracy

100.0%

Counts

1 069 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) b) a))
▶	62.1%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
✓	50.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
✓	49.9%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
▶	99.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b)))

Compiler

Compiled 160 to 108 computations (32.5% saved)

simplify131.0ms (0.5%)

Memory

-7.2MiB live, 115.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	120
0	35	120
1	66	120
2	121	120
3	188	120
4	339	120
5	668	120
6	1275	120
7	3477	120
8	6229	120
9	7589	120
10	7887	120
11	7971	120
0	8001	108

Stop Event

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

Calls

Call 1

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

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

localize55.0ms (0.2%)

Memory

0.5MiB live, 75.0MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 b a)
accuracy	0	(*.f64 b a)
accuracy	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
accuracy	24.25656159372306	(/.f64 (+.f64 b a) (*.f64 b a))
accuracy	0	#s(approx (/ (/ (+ b a) b) a) (/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b))
accuracy	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b)))
accuracy	0.00390625	(+.f64 (/.f64 b a) #s(literal 1 binary64))
accuracy	0.15234375	(/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b)

Samples

45.0ms

256×

valid

Compiler

Compiled 210 to 54 computations (74.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-div: 13.0ms (42.9% of total)

ival-mult: 9.0ms (29.7% of total)

ival-add: 4.0ms (13.2% of total)

ival-expm1: 4.0ms (13.2% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0%)

Memory

22.2MiB live, 22.2MiB allocated

Counts

8 → 31

Calls

Call 1

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

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

Calls

9 calls:

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

simplify185.0ms (0.7%)

Memory

-12.9MiB live, 196.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	216	1300
1	627	1262
2	2039	1182
0	8052	1068

Stop Event

1×	iter limit
1×	node limit

Counts

31 → 29

Calls

Call 1

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

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

rewrite149.0ms (0.6%)

Memory

-15.1MiB live, 139.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	112
0	35	112
1	164	112
2	1299	112
0	8671	100

Stop Event

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

Counts

8 → 269

Calls

Call 1

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

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

eval47.0ms (0.2%)

Memory: 20.0MiB live, 57.2MiB allocated
Compiler: Compiled 13 512 to 1 207 computations (91.1% saved)

prune8.0ms (0%)

Memory

-17.8MiB live, 18.9MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	290	1	291
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	290	6	296

Accuracy

100.0%

Counts

296 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) b) a))
✓	62.1%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
✓	50.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
✓	49.9%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
✓	99.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b)))
▶	49.7%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (/.f64 #s(approx (+ (/ b a) 1) (/.f64 b a)) b)))

Compiler

Compiled 204 to 135 computations (33.8% saved)

simplify149.0ms (0.6%)

Memory

15.5MiB live, 98.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	88
0	29	88
1	59	88
2	115	88
3	182	88
4	333	88
5	660	88
6	1267	88
7	3467	88
8	6184	88
9	7544	88
10	7844	88
11	7928	88
12	7958	88
0	8089	82

Stop Event

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

Calls

Call 1

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

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

localize67.0ms (0.3%)

Memory

8.0MiB live, 45.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	#s(approx (/ (/ (+ b a) b) a) (/.f64 #s(approx (+ (/ b a) 1) (/.f64 b a)) b))
accuracy	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (/.f64 #s(approx (+ (/ b a) 1) (/.f64 b a)) b)))
accuracy	0.15234375	(/.f64 #s(approx (+ (/ b a) 1) (/.f64 b a)) b)
accuracy	31.864648307625686	#s(approx (+ (/ b a) 1) (/.f64 b a))

Samples

58.0ms

256×

valid

Compiler

Compiled 138 to 49 computations (64.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-div: 34.0ms (68.1% of total)

ival-mult: 8.0ms (16% of total)

ival-add: 4.0ms (8% of total)

ival-expm1: 4.0ms (8% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0%)

Memory

-20.5MiB live, 17.0MiB allocated

Counts

4 → 23

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	a	@	-inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ (/ b a) 1) b) (+ (/ b a) 1))
1.0ms	b	@	-inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ (/ b a) 1) b) (+ (/ b a) 1))
1.0ms	b	@	inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ (/ b a) 1) b) (+ (/ b a) 1))
1.0ms	a	@	inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ (/ b a) 1) b) (+ (/ b a) 1))
1.0ms	eps	@	-inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ (/ b a) 1) b) (+ (/ b a) 1))

simplify157.0ms (0.6%)

Memory

26.7MiB live, 174.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	206	1264
1	589	1226
2	1945	1146
0	8330	1036

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 23

Calls

Call 1

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

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

rewrite168.0ms (0.7%)

Memory

0.3MiB live, 158.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	83
0	29	83
1	151	83
2	1226	83
0	8494	77

Stop Event

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

Counts

4 → 24

Calls

Call 1

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

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

eval6.0ms (0%)

Memory: 12.9MiB live, 12.9MiB allocated
Compiler: Compiled 2 664 to 282 computations (89.4% saved)

prune8.0ms (0%)

Memory

-27.4MiB live, 9.3MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	43	6	49

Accuracy

100.0%

Counts

49 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) b) a))
✓	62.1%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
✓	50.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
✓	49.9%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
✓	99.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b)))
✓	49.7%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (/.f64 #s(approx (+ (/ b a) 1) (/.f64 b a)) b)))

Compiler

Compiled 519 to 218 computations (58% saved)

regimes13.0ms (0.1%)

Memory

23.3MiB live, 23.3MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 27 to 26 computations (3.7% saved)

regimes22.0ms (0.1%)

Memory

-26.6MiB live, 21.3MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

15.0ms	b
2.0ms	eps
2.0ms	a
2.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
84.2%	2	`a`
83.1%	2	`b`
79.1%	4	`eps`
62.1%	1	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`

Compiler

Compiled 27 to 26 computations (3.7% saved)

regimes5.0ms (0%)

Memory

9.1MiB live, 9.1MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
49.9%	1	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`
49.9%	1	`eps`
49.9%	1	`b`
49.9%	1	`a`

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch17.0ms (0.1%)

Memory

-16.6MiB live, 21.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	-9.1887938719255e-212	-4.043010425207481e-213

Samples

9.0ms

112×

valid

Compiler

Compiled 419 to 313 computations (25.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 3.0ms (47.9% of total)

ival-expm1: 2.0ms (31.9% of total)

ival-div: 1.0ms (16% of total)

ival-add: 1.0ms (16% of total)

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

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

simplify23.0ms (0.1%)

Memory

7.1MiB live, 45.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	128
1	36	128

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 a #s(literal -4311497387675919/47379092172262845921294540053176957863064148471578876072358765808900480733837185251796826441303908628860099203403658239934435426150964794660775368501012608007948455078761288621529091968737745508583465551566054344204493617364992 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)))

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

Outputs

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

(if (<=.f64 a #s(literal -4311497387675919/47379092172262845921294540053176957863064148471578876072358765808900480733837185251796826441303908628860099203403658239934435426150964794660775368501012608007948455078761288621529091968737745508583465551566054344204493617364992 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))

soundness280.0ms (1.1%)

Memory

29.2MiB live, 219.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	589	3040
1	1930	2872
2	6663	2852
0	8193	2521
0	370	2068
1	1205	2020
2	3798	2020
0	8068	1792

Stop Event

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

Compiler

Compiled 144 to 57 computations (60.4% saved)

preprocess91.0ms (0.4%)

Memory: -1.0MiB live, 76.2MiB allocated
Remove: (sort a b)
Compiler: Compiled 398 to 166 computations (58.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze220.0ms (0.9%)

sample21.4s (83.5%)

explain222.0ms (0.9%)

preprocess195.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify152.0ms (0.6%)

localize113.0ms (0.4%)

series30.0ms (0.1%)

simplify229.0ms (0.9%)

rewrite207.0ms (0.8%)

eval73.0ms (0.3%)

prune9.0ms (0%)

simplify233.0ms (0.9%)

localize381.0ms (1.5%)

series71.0ms (0.3%)

simplify152.0ms (0.6%)

rewrite170.0ms (0.7%)

eval165.0ms (0.6%)

prune19.0ms (0.1%)

simplify131.0ms (0.5%)

localize55.0ms (0.2%)

series13.0ms (0%)

simplify185.0ms (0.7%)

rewrite149.0ms (0.6%)

eval47.0ms (0.2%)

prune8.0ms (0%)

simplify149.0ms (0.6%)

localize67.0ms (0.3%)

series12.0ms (0%)

simplify157.0ms (0.6%)

rewrite168.0ms (0.7%)

eval6.0ms (0%)

prune8.0ms (0%)

regimes13.0ms (0.1%)

regimes22.0ms (0.1%)

regimes5.0ms (0%)

bsearch17.0ms (0.1%)

simplify23.0ms (0.1%)

soundness280.0ms (1.1%)

preprocess91.0ms (0.4%)

end0.0ms (0%)

Profiling