Metrics for expq3 (problem 3.4.2)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze223.0ms (0.9%)

Memory

-28.8MiB live, 134.1MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 52 to 27 computations (48.1% saved)

sample20.9s (85.5%)

Memory

142.4MiB live, 17 102.0MiB allocated

Samples

13.8s	62 389×	0	invalid
1.6s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 12.0s

ival-mult: 3.7s (31% of total)

ival-expm1: 1.9s (16% of total)

const: 1.9s (15.8% of total)

ival-<=: 1.3s (10.6% of total)

ival-fabs: 975.0ms (8.1% of total)

ival-add: 766.0ms (6.4% of total)

ival-div: 624.0ms (5.2% of total)

ival-fmin: 508.0ms (4.2% of total)

ival-and: 226.0ms (1.9% of total)

exact: 55.0ms (0.5% of total)

ival-assert: 25.0ms (0.2% of total)

Bogosity

explain211.0ms (0.9%)

Memory

-9.1MiB live, 263.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
244	0	-	1	(6.087880848981524e-88 1.8097394843635927e-57 5.437097545192541e-90)	`(/.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))))`
137	3	(1.9959199351638744e-43 6.903578739549487e-270 2.7826746149812953e-280)	0	-	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`
105	2	(1.9959199351638744e-43 6.903578739549487e-270 2.7826746149812953e-280)	0	-	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`
102	1	(-2.0469691189478955e-180 3.314312941282793e-128 3.9675178730531683e-196)	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	218	0
↳	`(.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))`	underflow	218
↳	`(*.f64 (+.f64 a b) eps)`	underflow	116
↳	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`	underflow	116
↳	`(*.f64 b eps)`	underflow	153
↳	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	underflow	149
↳	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	underflow	153
↳	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`	underflow	243
↳	`(*.f64 a eps)`	underflow	149
`-.f64`	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`	cancellation	140	0
`-.f64`	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	cancellation	107	0
`-.f64`	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	cancellation	103	0
`/.f64`	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`	n/u	25	0
↳	`(*.f64 b eps)`	underflow	153
↳	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	underflow	149
↳	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	underflow	153
↳	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`	underflow	243
↳	`(*.f64 a eps)`	underflow	149

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	116
3	83
4	57

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

65.0ms

512×

valid

Compiler

Compiled 226 to 55 computations (75.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 16.0ms (37.4% of total)

ival-exp: 10.0ms (23.4% of total)

ival-expm1: 10.0ms (23.4% of total)

ival-div: 3.0ms (7% of total)

ival-add: 3.0ms (7% of total)

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

exact: 0.0ms (0% of total)

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

preprocess183.0ms (0.8%)

Memory

20.6MiB live, 131.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	233
1	250	229
2	708	227
3	2169	224
4	7220	224
0	17	24
0	30	24
1	56	24
2	109	24
3	176	24
4	327	24
5	656	24
6	1292	24
7	3499	24
8	6201	24
9	7551	24
10	7852	24
11	7935	24
12	7965	24
0	8094	18

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(sort a b)

Compiler

Compiled 24 to 17 computations (29.2% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.7MiB 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)

simplify164.0ms (0.7%)

Memory

12.0MiB live, 93.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	99
0	30	99
1	56	99
2	109	99
3	176	99
4	327	99
5	656	99
6	1292	99
7	3499	99
8	6201	99
9	7551	99
10	7852	99
11	7935	99
12	7965	99
0	8094	81

Stop Event

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

Calls

Call 1

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

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

localize46.0ms (0.2%)

Memory

-16.1MiB live, 59.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	21.723094407369178	(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))
accuracy	24.449762740243543	(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))
accuracy	31.044246378619476	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))
accuracy	58.94482796176597	(/.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

35.0ms

256×

valid

Compiler

Compiled 101 to 19 computations (81.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 10.0ms (40.6% of total)

ival-exp: 7.0ms (28.4% of total)

ival-expm1: 4.0ms (16.2% of total)

ival-div: 2.0ms (8.1% of total)

ival-add: 2.0ms (8.1% of total)

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

exact: 0.0ms (0% of total)

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

series34.0ms (0.1%)

Memory

-3.6MiB live, 36.7MiB allocated

Counts

4 → 44

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
16.0ms	eps	@	-inf	((- (exp (* (+ a b) eps)) 1) (- (exp (* a eps)) 1) (- (exp (* b eps)) 1) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))))
4.0ms	eps	@	0	((- (exp (* (+ a b) eps)) 1) (- (exp (* a eps)) 1) (- (exp (* b eps)) 1) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))))
3.0ms	b	@	-inf	((- (exp (* (+ a b) eps)) 1) (- (exp (* a eps)) 1) (- (exp (* b eps)) 1) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))))
2.0ms	a	@	-inf	((- (exp (* (+ a b) eps)) 1) (- (exp (* a eps)) 1) (- (exp (* b eps)) 1) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))))
2.0ms	a	@	0	((- (exp (* (+ a b) eps)) 1) (- (exp (* a eps)) 1) (- (exp (* b eps)) 1) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))))

simplify142.0ms (0.6%)

Memory

24.7MiB live, 132.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	336	1742
1	1079	1694
2	3456	1586
0	8118	1416

Stop Event

1×	iter limit
1×	node limit

Counts

44 → 44

Calls

Call 1

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

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

rewrite154.0ms (0.6%)

Memory

15.3MiB live, 168.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	44
0	30	44
1	108	44
2	766	44
0	8509	32

Stop Event

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

Counts

4 → 364

Calls

Call 1

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

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

eval51.0ms (0.2%)

Memory: -8.5MiB live, 73.0MiB allocated
Compiler: Compiled 15 909 to 1 605 computations (89.9% saved)

prune8.0ms (0%)

Memory

-15.3MiB live, 23.0MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	397	5	402
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	398	5	403

Accuracy

100.0%

Counts

403 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	27.4%	(.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (expm1.f64 (.f64 eps a))) (/.f64 eps (expm1.f64 (.f64 eps b))))
▶	38.1%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (fma.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (.f64 eps a))))) b #s(literal 1 binary64)) b))
▶	99.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) b) a))
▶	48.9%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
▶	49.6%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))

Compiler

Compiled 298 to 206 computations (30.9% saved)

simplify188.0ms (0.8%)

Memory

3.6MiB live, 118.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	309
0	68	285
1	132	285
2	213	285
3	348	285
4	573	285
5	955	285
6	1894	285
7	3491	285
8	5512	285
9	6343	285
10	6495	285
11	6713	285
12	7030	285
13	7405	285
0	8090	285

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

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

localize115.0ms (0.5%)

Memory

4.6MiB live, 157.5MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(*.f64 eps (+.f64 b a))
accuracy	0.17644501953688402	(.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (expm1.f64 (.f64 eps a))) (/.f64 eps (expm1.f64 (.f64 eps b))))
accuracy	35.14546826164891	(/.f64 eps (expm1.f64 (*.f64 eps b)))
accuracy	38.51240217112229	(/.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (expm1.f64 (.f64 eps a)))
accuracy	0.0859375	(/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 eps a)))
accuracy	0.109375	(fma.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (.f64 eps a))))) b #s(literal 1 binary64))
accuracy	0.15234375	(/.f64 (fma.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (.f64 eps a))))) b #s(literal 1 binary64)) b)
accuracy	39.354049992166225	(.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (.f64 eps a)))))
accuracy	0.0	(/.f64 #s(literal 1 binary64) b)
accuracy	32.72620573805729	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
accuracy	0.0	(/.f64 #s(literal 1 binary64) a)
accuracy	32.229938773848914	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
accuracy	0.0	(+.f64 b a)
accuracy	0.0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) b) a))
accuracy	0.015625	(/.f64 (+.f64 b a) b)
accuracy	0.1171875	(/.f64 (/.f64 (+.f64 b a) b) a)

Samples

78.0ms

256×

valid

Compiler

Compiled 308 to 39 computations (87.3% saved)

Precisions

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

ival-mult: 19.0ms (37.1% of total)

ival-div: 14.0ms (27.3% of total)

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

ival-add: 5.0ms (9.8% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series113.0ms (0.5%)

Memory

-0.7MiB live, 154.3MiB allocated

Counts

18 → 110

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

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

Calls

9 calls:

Time	Variable		Point	Expression
42.0ms	a	@	inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (+ b a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) b) (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (* (/ (- (exp (* eps (+ b a))) 1) (- (exp (* eps a)) 1)) (/ eps (- (exp (* eps b)) 1))) (/ (- (exp (* eps (+ b a))) 1) (- (exp (* eps a)) 1)) (- (exp (* eps (+ b a))) 1) (* eps (+ b a)) (/ (pow (exp a) eps) (- (exp (* eps a)) 1)) (/ eps (- (exp (* eps b)) 1)))
20.0ms	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) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) b) (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (* (/ (- (exp (* eps (+ b a))) 1) (- (exp (* eps a)) 1)) (/ eps (- (exp (* eps b)) 1))) (/ (- (exp (* eps (+ b a))) 1) (- (exp (* eps a)) 1)) (- (exp (* eps (+ b a))) 1) (* eps (+ b a)) (/ (pow (exp a) eps) (- (exp (* eps a)) 1)) (/ eps (- (exp (* eps b)) 1)))
11.0ms	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) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) b) (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (* (/ (- (exp (* eps (+ b a))) 1) (- (exp (* eps a)) 1)) (/ eps (- (exp (* eps b)) 1))) (/ (- (exp (* eps (+ b a))) 1) (- (exp (* eps a)) 1)) (- (exp (* eps (+ b a))) 1) (* eps (+ b a)) (/ (pow (exp a) eps) (- (exp (* eps a)) 1)) (/ eps (- (exp (* eps b)) 1)))
7.0ms	a	@	0	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (+ b a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) b) (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (* (/ (- (exp (* eps (+ b a))) 1) (- (exp (* eps a)) 1)) (/ eps (- (exp (* eps b)) 1))) (/ (- (exp (* eps (+ b a))) 1) (- (exp (* eps a)) 1)) (- (exp (* eps (+ b a))) 1) (* eps (+ b a)) (/ (pow (exp a) eps) (- (exp (* eps a)) 1)) (/ eps (- (exp (* eps b)) 1)))
6.0ms	b	@	0	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (+ b a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) b) (+ (* (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) b) 1) (* eps (+ -1/2 (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))) (* (/ (- (exp (* eps (+ b a))) 1) (- (exp (* eps a)) 1)) (/ eps (- (exp (* eps b)) 1))) (/ (- (exp (* eps (+ b a))) 1) (- (exp (* eps a)) 1)) (- (exp (* eps (+ b a))) 1) (* eps (+ b a)) (/ (pow (exp a) eps) (- (exp (* eps a)) 1)) (/ eps (- (exp (* eps b)) 1)))

simplify189.0ms (0.8%)

Memory

8.3MiB live, 160.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	621	3701
1	1888	3353
2	6370	3340
0	8042	2982

Stop Event

1×	iter limit
1×	node limit

Counts

110 → 108

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

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

rewrite183.0ms (0.7%)

Memory

12.2MiB live, 207.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	254
0	68	230
1	310	230
2	2047	230
0	8246	226

Stop Event

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

Counts

18 → 798

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

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

eval121.0ms (0.5%)

Memory: 15.2MiB live, 201.1MiB allocated
Compiler: Compiled 38 344 to 3 910 computations (89.8% saved)

prune19.0ms (0.1%)

Memory

8.0MiB live, 58.0MiB allocated

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	950	4	954
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	953	6	959

Accuracy

100.0%

Counts

959 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
▶	48.7%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a))
▶	99.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) b) (+.f64 (/.f64 a b) #s(literal 1 binary64))) a))
✓	48.9%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
✓	49.6%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
▶	99.9%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))

Compiler

Compiled 202 to 135 computations (33.2% saved)

simplify168.0ms (0.7%)

Memory

-18.5MiB live, 95.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	252
0	47	252
1	79	252
2	134	252
3	201	252
4	352	252
5	681	252
6	1314	252
7	3523	252
8	6234	252
9	7621	252
10	7925	252
0	8006	228

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

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

localize71.0ms (0.3%)

Memory

16.0MiB live, 95.9MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 b a)
accuracy	0.0	(*.f64 b a)
accuracy	0.0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
accuracy	25.6968171330528	(/.f64 (+.f64 b a) (*.f64 b a))
accuracy	0.0	(/.f64 a b)
accuracy	0.0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a))
accuracy	0.1171875	(/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a)
accuracy	32.49453961821148	#s(approx (/ (+ b a) b) (/.f64 a b))
accuracy	0.0	(+.f64 (/.f64 a b) #s(literal 1 binary64))
accuracy	0.0	#s(approx (/ (+ b a) b) (+.f64 (/.f64 a b) #s(literal 1 binary64)))
accuracy	0.0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) b) (+.f64 (/.f64 a b) #s(literal 1 binary64))) a))
accuracy	0.1171875	(/.f64 #s(approx (/ (+ b a) b) (+.f64 (/.f64 a b) #s(literal 1 binary64))) a)
accuracy	0.0	(/.f64 #s(literal 1 binary64) a)
accuracy	0.0	#s(approx (/ (/ (+ b a) b) a) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))
accuracy	0.0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))
accuracy	0.0390625	(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))

Samples

58.0ms

256×

valid

Compiler

Compiled 176 to 26 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-mult: 25.0ms (56.1% of total)

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

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

ival-expm1: 4.0ms (9% of total)

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

exact: 0.0ms (0% of total)

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

series47.0ms (0.2%)

Memory

-12.8MiB live, 24.8MiB allocated

Counts

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

Outputs
(/ 1 a)
(/ (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) a)
(/ (+ 1 (* a (- (+ (* a (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a)
(/ (+ 1 (* a (- (+ (* a (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (* a (- (* 1/6 (/ (* (pow eps 3) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a)
(/ (+ 1 (/ a b)) a)
1
(+ 1 (/ a b))
(/ a b)
b
(+ a b)
(* a b)
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ 1 b)
(+ (/ 1 a) (/ 1 b))
(* a (+ (/ 1 a) (/ 1 b)))
a
(* a (+ 1 (/ b a)))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b)
(/ (+ 1 (* b (- (+ (* b (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b)
(/ (+ 1 (* b (- (+ (* b (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (* b (- (* 1/6 (/ (* (pow eps 3) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b)
(/ (+ 1 (/ b a)) b)
(/ (+ a b) b)
(* 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
31.0ms	eps	@	inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (+ (/ 1 b) (/ 1 a)) (/ 1 b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (+ (/ a b) 1) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (/ a b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ b a) (* b a)) (+ b a) (* b a) (/ 1 a))
3.0ms	a	@	-inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (+ (/ 1 b) (/ 1 a)) (/ 1 b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (+ (/ a b) 1) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (/ a b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ b a) (* b a)) (+ b a) (* b a) (/ 1 a))
2.0ms	b	@	-inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (+ (/ 1 b) (/ 1 a)) (/ 1 b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (+ (/ a b) 1) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (/ a b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ b a) (* b a)) (+ b a) (* b a) (/ 1 a))
2.0ms	a	@	inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (+ (/ 1 b) (/ 1 a)) (/ 1 b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (+ (/ a b) 1) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (/ a b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ b a) (* b a)) (+ b a) (* b a) (/ 1 a))
2.0ms	a	@	0	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (+ (/ 1 b) (/ 1 a)) (/ 1 b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (+ (/ a b) 1) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (/ a b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ b a) (* b a)) (+ b a) (* b a) (/ 1 a))

simplify184.0ms (0.8%)

Memory

4.5MiB live, 167.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	216	1300
1	628	1262
2	2087	1182
0	8102	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)
1
(+ 1 (/ a b))
(/ a b)
b
(+ a b)
(* a b)
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ 1 b)
(+ (/ 1 a) (/ 1 b))
(* a (+ (/ 1 a) (/ 1 b)))
a
(* a (+ 1 (/ b a)))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b)
(/ (+ 1 (* b (- (+ (* b (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b)
(/ (+ 1 (* b (- (+ (* b (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (* b (- (* 1/6 (/ (* (pow eps 3) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b)
(/ (+ 1 (/ b a)) b)
(/ (+ a b) b)
(* 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)
1
#s(literal 1 binary64)
(+ 1 (/ a b))
(+.f64 (/.f64 a b) #s(literal 1 binary64))
(/ a b)
(/.f64 a b)
b
(+ a b)
(+.f64 b a)
(* a b)
(*.f64 b a)
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) eps) (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (*.f64 a eps))))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(* a (+ (/ 1 a) (/ 1 b)))
(+.f64 (/.f64 a b) #s(literal 1 binary64))
a
(* a (+ 1 (/ b a)))
(fma.f64 (/.f64 b a) a a)
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) eps) (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (*.f64 a eps))))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(fma.f64 (/.f64 b a) a a)
(/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b)
(/.f64 (fma.f64 (.f64 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)
(/ (+ a b) b)
(/.f64 (+.f64 b a) b)
(* 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) b) a)
(+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(fma.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64)) (.f64 b b)) (/.f64 (/.f64 (+.f64 b a) a) a) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a))) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))
(+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(fma.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64)) (.f64 b b)) (/.f64 (/.f64 (+.f64 b a) a) a) (fma.f64 (-.f64 (.f64 (/.f64 #s(literal 1/6 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 3 binary64)) a)) (fma.f64 (/.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 b #s(literal 3 binary64))) a (.f64 b (fma.f64 (.f64 #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) b) a) (.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64)) (.f64 b b)) (/.f64 (/.f64 (+.f64 b a) a) a) (.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a))) (.f64 (/.f64 (.f64 (.f64 b a) (+.f64 b a)) b) (/.f64 #s(literal 1/2 binary64) a))))) eps (.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a)))) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))
(+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (+ (* 1/6 (/ (pow (+ a b) 3) (* a b))) (* eps (- (* 1/24 (/ (pow (+ a b) 4) (* a b))) (+ (/ (* (+ a b) (+ (* 1/24 (* a (pow b 4))) (+ (* 1/24 (* (pow a 4) b)) (+ (* 1/12 (* (pow a 2) (pow b 3))) (* 1/12 (* (pow a 3) (pow b 2))))))) (* (pow a 2) (pow b 2))) (+ (/ (* (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2))))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b))))) (* a b))))))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(fma.f64 (fma.f64 (/.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) b) a) (.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64)) (.f64 b b)) (/.f64 (/.f64 (+.f64 b a) a) a) (.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a))) (.f64 (/.f64 (.f64 (.f64 b a) (+.f64 b a)) b) (/.f64 #s(literal 1/2 binary64) a))))) (.f64 (/.f64 (.f64 (.f64 b a) (+.f64 b a)) b) (/.f64 #s(literal 1/2 binary64) a)) (.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64)) (.f64 b b)) (/.f64 (/.f64 (+.f64 b a) a) a) (.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a))) (/.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 b #s(literal 3 binary64))) a (.f64 b (fma.f64 (.f64 #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) b) a) (.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64)) (.f64 b b)) (/.f64 (/.f64 (+.f64 b a) a) a) (.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a))) (.f64 (/.f64 (.f64 (.f64 b a) (+.f64 b a)) b) (/.f64 #s(literal 1/2 binary64) a)))))) eps (.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a)))) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))

rewrite149.0ms (0.6%)

Memory

2.2MiB live, 157.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	239
0	47	239
1	206	239
2	1735	239
0	8606	215

Stop Event

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

Counts

17 → 590

Calls

Call 1

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

eval54.0ms (0.2%)

Memory: 18.6MiB live, 105.4MiB allocated
Compiler: Compiled 20 496 to 1 899 computations (90.7% saved)

prune11.0ms (0%)

Memory

-4.3MiB live, 32.9MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	443	0	443
Fresh	0	0	0
Picked	0	4	4
Done	0	2	2
Total	443	6	449

Accuracy

100.0%

Counts

449 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	59.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
✓	48.7%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a))
✓	99.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) b) (+.f64 (/.f64 a b) #s(literal 1 binary64))) a))
✓	48.9%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
✓	49.6%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
✓	99.9%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))

Compiler

Compiled 521 to 209 computations (59.9% saved)

regimes16.0ms (0.1%)

Memory

-8.4MiB live, 29.6MiB allocated

Counts

10 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

5.0ms	b
4.0ms	eps
3.0ms	a
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
99.9%	1	`a`
99.9%	1	`b`
99.9%	1	`eps`
99.9%	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))))`

Compiler

Compiled 27 to 26 computations (3.7% saved)

regimes8.0ms (0%)

Memory

18.4MiB live, 18.4MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

2.0ms	eps
2.0ms	b
2.0ms	a
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
81.9%	2	`a`
84.3%	3	`b`
73.1%	3	`eps`
59.8%	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)

regimes5.0ms (0%)

Memory

-29.8MiB live, 7.9MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

2 calls:

1.0ms	b
1.0ms	a

Results

Accuracy	Segments	Branch
81.9%	2	`a`
81.6%	2	`b`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes5.0ms (0%)

Memory

12.2MiB live, 12.2MiB 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	eps
1.0ms	b
1.0ms	a
1.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
49.6%	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))))`
49.6%	1	`eps`
49.6%	1	`b`
49.6%	1	`a`

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch83.0ms (0.3%)

Memory

-10.8MiB live, 69.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	4.0355189940598873e-115	5.571838171839561e-113
18.0ms	6.749617928775515e-199	2.2056093517946758e-197

Samples

23.0ms

224×

valid

Compiler

Compiled 839 to 614 computations (26.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-expm1: 8.0ms (46.9% of total)

ival-mult: 6.0ms (35.2% of total)

ival-div: 1.0ms (5.9% of total)

ival-add: 1.0ms (5.9% of total)

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

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

bsearch15.0ms (0.1%)

Memory

16.0MiB live, 16.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	-3.2024435928437297e-168	-2.062328473312595e-170

Samples

9.0ms

112×

valid

Compiler

Compiled 419 to 313 computations (25.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 3.0ms (46% of total)

ival-expm1: 2.0ms (30.7% of total)

ival-div: 1.0ms (15.3% of total)

ival-add: 1.0ms (15.3% of total)

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

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

simplify88.0ms (0.4%)

Memory

4.5MiB live, 42.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	224
1	71	224
2	129	224
3	230	224
4	526	224
5	1646	224
6	4200	224
7	7569	224

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))
(if (<=.f64 b #s(literal 3703135674690055/168324348849547952231711676252164117297610873690341563503944988898199428937506586307637329160882830439263455003397702966816621832005881723620090072660860187198567157476110227142133240252298326952681384055545004032 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) (if (<=.f64 b #s(literal 2439949330826317/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))))
(if (<=.f64 a #s(literal -7478422938860081/8498207885068273579033411304839498037273489883632510771191106211206456957773635883826600036243668570702229271779944016245545269402443315830552319660265397631101300333366291504507650048 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))

Outputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (+.f64 (pow.f64 b #s(literal -1 binary64)) (pow.f64 a #s(literal -1 binary64)))))
(if (<=.f64 b #s(literal 3703135674690055/168324348849547952231711676252164117297610873690341563503944988898199428937506586307637329160882830439263455003397702966816621832005881723620090072660860187198567157476110227142133240252298326952681384055545004032 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) (if (<=.f64 b #s(literal 2439949330826317/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))))
(if (<=.f64 b #s(literal 3703135674690055/168324348849547952231711676252164117297610873690341563503944988898199428937506586307637329160882830439263455003397702966816621832005881723620090072660860187198567157476110227142133240252298326952681384055545004032 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (pow.f64 b #s(literal -1 binary64))) (if (<=.f64 b #s(literal 2439949330826317/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (pow.f64 a #s(literal -1 binary64))) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))))
(if (<=.f64 a #s(literal -7478422938860081/8498207885068273579033411304839498037273489883632510771191106211206456957773635883826600036243668570702229271779944016245545269402443315830552319660265397631101300333366291504507650048 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)))
(if (<=.f64 a #s(literal -7478422938860081/8498207885068273579033411304839498037273489883632510771191106211206456957773635883826600036243668570702229271779944016245545269402443315830552319660265397631101300333366291504507650048 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (pow.f64 b #s(literal -1 binary64))) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (pow.f64 a #s(literal -1 binary64))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (pow.f64 a #s(literal -1 binary64)))

soundness449.0ms (1.8%)

Memory

-6.1MiB live, 304.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	336	1742
1	1079	1694
2	3456	1586
0	8118	1416
0	43	254
0	68	230
1	310	230
2	2047	230
0	8246	226
0	621	3701
1	1888	3353
2	6370	3340
0	8042	2982

Stop Event

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

Compiler

Compiled 285 to 102 computations (64.2% saved)

preprocess37.0ms (0.2%)

Memory: 30.0MiB live, 66.3MiB allocated
Remove: (sort a b)
Compiler: Compiled 750 to 286 computations (61.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze223.0ms (0.9%)

sample20.9s (85.5%)

explain211.0ms (0.9%)

preprocess183.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify164.0ms (0.7%)

localize46.0ms (0.2%)

series34.0ms (0.1%)

simplify142.0ms (0.6%)

rewrite154.0ms (0.6%)

eval51.0ms (0.2%)

prune8.0ms (0%)

simplify188.0ms (0.8%)

localize115.0ms (0.5%)

series113.0ms (0.5%)

simplify189.0ms (0.8%)

rewrite183.0ms (0.7%)

eval121.0ms (0.5%)

prune19.0ms (0.1%)

simplify168.0ms (0.7%)

localize71.0ms (0.3%)

series47.0ms (0.2%)

simplify184.0ms (0.8%)

rewrite149.0ms (0.6%)

eval54.0ms (0.2%)

prune11.0ms (0%)

regimes16.0ms (0.1%)

regimes8.0ms (0%)

regimes5.0ms (0%)

regimes5.0ms (0%)

bsearch83.0ms (0.3%)

bsearch15.0ms (0.1%)

simplify88.0ms (0.4%)

soundness449.0ms (1.8%)

preprocess37.0ms (0.2%)

end0.0ms (0%)

Profiling