Metrics for expq3 (problem 3.4.2)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze189.0ms (0.7%)

Memory

-7.2MiB live, 119.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 52 to 27 computations (48.1% saved)

sample21.3s (81.9%)

Memory

161.4MiB live, 16 937.1MiB allocated

Samples

13.5s	62 407×	0	invalid
1.6s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 11.6s

ival-mult: 3.9s (34% of total)

const: 1.6s (14% of total)

ival-expm1: 1.5s (13.3% of total)

ival-<=: 1.2s (10.8% of total)

ival-fabs: 1.2s (10% of total)

ival-add: 614.0ms (5.3% of total)

ival-fmin: 608.0ms (5.3% of total)

ival-div: 554.0ms (4.8% of total)

ival-and: 222.0ms (1.9% of total)

exact: 54.0ms (0.5% of total)

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

Bogosity

explain253.0ms (1%)

Memory

-36.4MiB live, 394.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
237	0	-	2	(3.282905383916843e-82 8.640220448209861e-45 3.34716283789825e-98)	`(/.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))))`
142	1	(1.4497921317359449e-292 -1.4398626633156615e-24 1.1935892960770319e-299)	0	-	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`
116	1	(-2.0088550334866994e-156 1.7310776018665758e-75 6.619321611270739e-168)	0	-	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`
100	2	(8.186051373541807e-127 -3.3572841812768287e-150 1.6461393788040627e-174)	0	-	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`
0	0	-	0	-	`(+.f64 a b)`
0	0	-	0	-	`(*.f64 b eps)`
0	0	-	0	-	`(exp.f64 (*.f64 a eps))`
0	0	-	0	-	`a`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(*.f64 a eps)`
0	0	-	0	-	`(exp.f64 (*.f64 (+.f64 a b) eps))`
0	0	-	0	-	`eps`
0	0	-	0	-	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`
0	0	-	0	-	`(.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))`
0	0	-	0	-	`(*.f64 (+.f64 a b) eps)`
0	0	-	0	-	`(exp.f64 (*.f64 b eps))`
0	0	-	0	-	`b`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`	u/u	210	0
↳	`(.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))`	underflow	210
↳	`(*.f64 (+.f64 a b) eps)`	underflow	113
↳	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`	underflow	113
↳	`(*.f64 b eps)`	underflow	154
↳	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	underflow	139
↳	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	underflow	154
↳	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`	underflow	235
↳	`(*.f64 a eps)`	underflow	139
`-.f64`	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`	cancellation	143	0
`-.f64`	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	cancellation	117	0
`-.f64`	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	cancellation	102	0
`/.f64`	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`	n/u	25	0
↳	`(*.f64 b eps)`	underflow	154
↳	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	underflow	139
↳	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	underflow	154
↳	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`	underflow	235
↳	`(*.f64 a eps)`	underflow	139

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	113
3	88
4	55

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

64.0ms

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 (37.2% of total)

ival-exp: 11.0ms (25.5% of total)

ival-expm1: 9.0ms (20.9% 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)

preprocess215.0ms (0.8%)

Memory

-0.3MiB live, 154.0MiB 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)

prune1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

0.0%

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

simplify163.0ms (0.6%)

Memory

34.4MiB live, 154.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	99
0	30	99
1	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

6.3MiB live, 81.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	21.557106436055683	(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))
accuracy	26.55294360115855	(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))
accuracy	31.586037575684852	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))
accuracy	57.09477859567883	(/.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

32.0ms

256×

valid

Compiler

Compiled 101 to 19 computations (81.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 8.0ms (36.2% of total)

ival-exp: 5.0ms (22.6% of total)

ival-expm1: 4.0ms (18.1% of total)

ival-div: 3.0ms (13.6% of total)

ival-add: 2.0ms (9% of total)

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

exact: 0.0ms (0% of total)

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

series22.0ms (0.1%)

Memory

-2.7MiB live, 34.6MiB allocated

Counts

4 → 44

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	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))))
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	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))))

simplify183.0ms (0.7%)

Memory

-8.4MiB live, 193.6MiB 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)))

rewrite159.0ms (0.6%)

Memory

-10.4MiB live, 181.7MiB 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)))

eval37.0ms (0.1%)

Memory: 25.1MiB live, 62.0MiB allocated
Compiler: Compiled 15 909 to 1 605 computations (89.9% saved)

prune9.0ms (0%)

Memory

-14.4MiB live, 23.7MiB 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

99.9%

Counts

403 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	16.3%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (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))))
▶	45.7%	#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 b) eps) (expm1.f64 (.f64 eps b))))) a #s(literal 1 binary64)) a))
▶	99.7%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) b) a))
▶	44.9%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
▶	54.0%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))

Compiler

Compiled 394 to 256 computations (35% saved)

simplify154.0ms (0.6%)

Memory

23.2MiB live, 175.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (.f64 eps b)))))
cost-diff	0	(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))
cost-diff	0	(/.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)
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 b) eps) (expm1.f64 (.f64 eps b))))) a #s(literal 1 binary64)) a))
cost-diff	0	(.f64 (.f64 (*.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64))
cost-diff	0	(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)))
cost-diff	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 (fma.f64 (.f64 (.f64 (.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))))
cost-diff	31	(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)))
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	52	473
0	83	463
1	164	463
2	377	460
3	1477	430
4	5764	400
5	7658	370
0	8460	350

Stop Event

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

Calls

Call 1

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

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

localize349.0ms (1.3%)

Memory

-3.4MiB live, 388.6MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.1328125	(/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 eps b)))
accuracy	0.16015625	(/.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)
accuracy	0.171875	(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))
accuracy	34.66073295313903	(.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (.f64 eps b)))))
accuracy	0.28744125976844204	(*.f64 (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) b) (/.f64 #s(literal 1/2 binary64) a))
accuracy	2.8073532587548717	(/.f64 (+.f64 b a) (.f64 (.f64 (*.f64 b a) a) b))
accuracy	12.9481919119357	(/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) b)
accuracy	62.833180945782146	(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)))
accuracy	0.0	(/.f64 #s(literal 1 binary64) b)
accuracy	35.286458977700846	#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	29.41166164266518	#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	0.03515625	(/.f64 (+.f64 b a) b)
accuracy	0.16015625	(/.f64 (/.f64 (+.f64 b a) b) a)

Samples

290.0ms

256×

valid

Compiler

Compiled 415 to 49 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 214.0ms

adjust: 73.0ms (34% of total)

ival-mult: 56.0ms (26.1% of total)

ival-div: 37.0ms (17.3% of total)

ival-add: 24.0ms (11.2% of total)

ival-expm1: 11.0ms (5.1% of total)

ival-pow2: 6.0ms (2.8% of total)

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

ival-exp: 2.0ms (0.9% of total)

exact: 1.0ms (0.5% of total)

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

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

series148.0ms (0.6%)

Memory

19.2MiB live, 245.9MiB allocated

Counts

20 → 117

Calls

Call 1

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

Calls

9 calls:

Time	Variable		Point	Expression
43.0ms	b	@	inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (+ b a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 b) (+ (* (* (* (* b a) (+ b a)) -1/2) (/ (+ b a) (* (* (* b a) a) b))) (* (/ (pow (+ b a) 2) b) (/ 1/2 a))) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ (* (+ (* (* (* (* b a) (+ b a)) -1/2) (/ (+ b a) (* (* (* b a) a) b))) (* (/ (pow (+ b a) 2) b) (/ 1/2 a))) eps) (+ (/ 1 b) (/ 1 a))) (* (* (* b a) (+ b a)) -1/2) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (* (* eps (+ -1/2 (/ (pow (exp b) eps) (- (exp (* eps b)) 1)))) a) 1) a) (+ (* (* eps (+ -1/2 (/ (pow (exp b) eps) (- (exp (* eps b)) 1)))) a) 1) (* eps (+ -1/2 (/ (pow (exp b) eps) (- (exp (* eps b)) 1)))) (/ (pow (+ b a) 2) b) (/ (+ b a) (* (* (* b a) a) b)) (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (/ (pow (exp b) eps) (- (exp (* eps b)) 1)))
26.0ms	eps	@	0	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (+ b a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 b) (+ (* (* (* (* b a) (+ b a)) -1/2) (/ (+ b a) (* (* (* b a) a) b))) (* (/ (pow (+ b a) 2) b) (/ 1/2 a))) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ (* (+ (* (* (* (* b a) (+ b a)) -1/2) (/ (+ b a) (* (* (* b a) a) b))) (* (/ (pow (+ b a) 2) b) (/ 1/2 a))) eps) (+ (/ 1 b) (/ 1 a))) (* (* (* b a) (+ b a)) -1/2) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (* (* eps (+ -1/2 (/ (pow (exp b) eps) (- (exp (* eps b)) 1)))) a) 1) a) (+ (* (* eps (+ -1/2 (/ (pow (exp b) eps) (- (exp (* eps b)) 1)))) a) 1) (* eps (+ -1/2 (/ (pow (exp b) eps) (- (exp (* eps b)) 1)))) (/ (pow (+ b a) 2) b) (/ (+ b a) (* (* (* b a) a) b)) (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (/ (pow (exp b) eps) (- (exp (* eps b)) 1)))
22.0ms	b	@	-inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (+ b a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 b) (+ (* (* (* (* b a) (+ b a)) -1/2) (/ (+ b a) (* (* (* b a) a) b))) (* (/ (pow (+ b a) 2) b) (/ 1/2 a))) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ (* (+ (* (* (* (* b a) (+ b a)) -1/2) (/ (+ b a) (* (* (* b a) a) b))) (* (/ (pow (+ b a) 2) b) (/ 1/2 a))) eps) (+ (/ 1 b) (/ 1 a))) (* (* (* b a) (+ b a)) -1/2) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (* (* eps (+ -1/2 (/ (pow (exp b) eps) (- (exp (* eps b)) 1)))) a) 1) a) (+ (* (* eps (+ -1/2 (/ (pow (exp b) eps) (- (exp (* eps b)) 1)))) a) 1) (* eps (+ -1/2 (/ (pow (exp b) eps) (- (exp (* eps b)) 1)))) (/ (pow (+ b a) 2) b) (/ (+ b a) (* (* (* b a) a) b)) (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (/ (pow (exp b) eps) (- (exp (* eps b)) 1)))
16.0ms	a	@	0	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (+ b a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 b) (+ (* (* (* (* b a) (+ b a)) -1/2) (/ (+ b a) (* (* (* b a) a) b))) (* (/ (pow (+ b a) 2) b) (/ 1/2 a))) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ (* (+ (* (* (* (* b a) (+ b a)) -1/2) (/ (+ b a) (* (* (* b a) a) b))) (* (/ (pow (+ b a) 2) b) (/ 1/2 a))) eps) (+ (/ 1 b) (/ 1 a))) (* (* (* b a) (+ b a)) -1/2) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (* (* eps (+ -1/2 (/ (pow (exp b) eps) (- (exp (* eps b)) 1)))) a) 1) a) (+ (* (* eps (+ -1/2 (/ (pow (exp b) eps) (- (exp (* eps b)) 1)))) a) 1) (* eps (+ -1/2 (/ (pow (exp b) eps) (- (exp (* eps b)) 1)))) (/ (pow (+ b a) 2) b) (/ (+ b a) (* (* (* b a) a) b)) (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (/ (pow (exp b) eps) (- (exp (* eps b)) 1)))
13.0ms	a	@	inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (+ b a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 b) (+ (* (* (* (* b a) (+ b a)) -1/2) (/ (+ b a) (* (* (* b a) a) b))) (* (/ (pow (+ b a) 2) b) (/ 1/2 a))) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ (* (+ (* (* (* (* b a) (+ b a)) -1/2) (/ (+ b a) (* (* (* b a) a) b))) (* (/ (pow (+ b a) 2) b) (/ 1/2 a))) eps) (+ (/ 1 b) (/ 1 a))) (* (* (* b a) (+ b a)) -1/2) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (* (* eps (+ -1/2 (/ (pow (exp b) eps) (- (exp (* eps b)) 1)))) a) 1) a) (+ (* (* eps (+ -1/2 (/ (pow (exp b) eps) (- (exp (* eps b)) 1)))) a) 1) (* eps (+ -1/2 (/ (pow (exp b) eps) (- (exp (* eps b)) 1)))) (/ (pow (+ b a) 2) b) (/ (+ b a) (* (* (* b a) a) b)) (* (/ (pow (+ b a) 2) b) (/ 1/2 a)) (/ (pow (exp b) eps) (- (exp (* eps b)) 1)))

simplify181.0ms (0.7%)

Memory

-8.4MiB live, 144.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	551	3124
1	1650	2758
2	5403	2516
0	8599	2281

Stop Event

1×	iter limit
1×	node limit

Counts

117 → 115

Calls

Call 1

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

rewrite245.0ms (0.9%)

Memory

18.9MiB live, 171.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	385
0	83	375
1	365	367
2	3204	367
0	8353	343

Stop Event

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

Counts

20 → 656

Calls

Call 1

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

eval223.0ms (0.9%)

Memory: -16.2MiB live, 190.5MiB allocated
Compiler: Compiled 60 386 to 4 374 computations (92.8% saved)

prune33.0ms (0.1%)

Memory

17.4MiB live, 56.4MiB allocated

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	944	6	950
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	946	9	955

Accuracy

100.0%

Counts

955 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) b) a))
▶	61.5%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
▶	44.7%	#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))
▶	99.7%	#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))
	99.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (+.f64 b a)) a)))
✓	44.9%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
✓	54.0%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
▶	100.0%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a))))
▶	2.0%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (+ (* (+ (* (* (* (* b a) (+ b a)) -1/2) (/ (+ b a) (* (* (* b a) a) b))) (* (/ (pow (+ b a) 2) b) (/ 1/2 a))) eps) (+ (/ 1 b) (/ 1 a))) #s(literal 0 binary64)))

Compiler

Compiled 588 to 381 computations (35.2% saved)

simplify175.0ms (0.7%)

Memory

1.1MiB live, 120.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
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 a b)
cost-diff	0	#s(approx (/ (+ b a) b) (/.f64 a b))
cost-diff	0	(/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a)
cost-diff	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a))
cost-diff	0	(*.f64 b a)
cost-diff	0	(+.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	#s(approx (+ (* (+ (* (* (* (* b a) (+ b a)) -1/2) (/ (+ b a) (* (* (* b a) a) b))) (* (/ (pow (+ b a) 2) b) (/ 1/2 a))) eps) (+ (/ 1 b) (/ 1 a))) #s(literal 0 binary64))
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)) -1/2) (/ (+ b a) (* (* (* b a) a) b))) (* (/ (pow (+ b a) 2) b) (/ 1/2 a))) eps) (+ (/ 1 b) (/ 1 a))) #s(literal 0 binary64)))
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	61	369
0	70	369
1	138	369
2	334	365
3	1409	345
4	5796	325
0	8203	293

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

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

localize163.0ms (0.6%)

Memory

-34.2MiB live, 140.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
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	0.16015625	(/.f64 #s(approx (/ (+ b a) b) (-.f64 (/.f64 a b) #s(literal -1 binary64))) a)
accuracy	0.0	(/.f64 a b)
accuracy	0.0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a))
accuracy	0.16015625	(/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a)
accuracy	35.08190735154141	#s(approx (/ (+ b a) b) (/.f64 a b))
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	24.670509457205327	(/.f64 (+.f64 b a) (*.f64 b a))
accuracy	0.0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (+ (* (+ (* (* (* (* b a) (+ b a)) -1/2) (/ (+ b a) (* (* (* b a) a) b))) (* (/ (pow (+ b a) 2) b) (/ 1/2 a))) eps) (+ (/ 1 b) (/ 1 a))) #s(literal 0 binary64)))
accuracy	62.68816268653956	#s(approx (+ (* (+ (* (* (* (* b a) (+ b a)) -1/2) (/ (+ b a) (* (* (* b a) a) b))) (* (/ (pow (+ b a) 2) b) (/ 1/2 a))) eps) (+ (/ 1 b) (/ 1 a))) #s(literal 0 binary64))
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	0.03125	(-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a))

Samples

83.0ms

256×

valid

Compiler

Compiled 245 to 45 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-div: 31.0ms (46.4% of total)

ival-mult: 19.0ms (28.4% of total)

ival-add: 6.0ms (9% of total)

ival-expm1: 4.0ms (6% of total)

ival-pow2: 3.0ms (4.5% of total)

ival-sub: 2.0ms (3% of total)

exact: 1.0ms (1.5% of total)

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

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

series24.0ms (0.1%)

Memory

23.5MiB live, 23.5MiB allocated

Counts

19 → 44

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

Calls

9 calls:

Time	Variable		Point	Expression
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)) -1/2) (/ (+ b a) (* (* (* b a) a) b))) (* (/ (pow (+ b a) 2) b) (/ 1/2 a))) eps) (+ (/ 1 b) (/ 1 a))) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ b a) (* b a)) (+ b a) (* b a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ 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 b) -1) (/ -1 a))
3.0ms	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)) -1/2) (/ (+ b a) (* (* (* b a) a) b))) (* (/ (pow (+ b a) 2) b) (/ 1/2 a))) eps) (+ (/ 1 b) (/ 1 a))) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ b a) (* b a)) (+ b a) (* b a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ 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 b) -1) (/ -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)) -1/2) (/ (+ b a) (* (* (* b a) a) b))) (* (/ (pow (+ b a) 2) b) (/ 1/2 a))) eps) (+ (/ 1 b) (/ 1 a))) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ b a) (* b a)) (+ b a) (* b a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ 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 b) -1) (/ -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)) -1/2) (/ (+ b a) (* (* (* b a) a) b))) (* (/ (pow (+ b a) 2) b) (/ 1/2 a))) eps) (+ (/ 1 b) (/ 1 a))) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ b a) (* b a)) (+ b a) (* b a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ 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 b) -1) (/ -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)) -1/2) (/ (+ b a) (* (* (* b a) a) b))) (* (/ (pow (+ b a) 2) b) (/ 1/2 a))) eps) (+ (/ 1 b) (/ 1 a))) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ b a) (* b a)) (+ b a) (* b a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ 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 b) -1) (/ -1 a))

simplify144.0ms (0.6%)

Memory

9.1MiB live, 199.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	266	1422
1	785	1351
2	2689	1265
0	8148	1151

Stop Event

1×	iter limit
1×	node limit

Counts

44 → 42

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 (* eps (+ (* -1/2 b) (* 1/2 b)))) a)
(/ (+ 1 (+ (* eps (+ (* -1/2 b) (* 1/2 b))) (/ a b))) a)
b
(+ a b)
(* a b)
1
(+ 1 (/ a b))
(/ a b)
(/ -1 a)
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ 1 b)
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (+ (/ 1 b) (/ (* eps (+ (* -1/2 b) (* 1/2 b))) a)))
a
(* a (+ 1 (/ b a)))
(* a (+ (/ 1 a) (/ 1 b)))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(+ (* -1 (/ (- (* eps (+ (* -1/2 b) (* 1/2 b))) 1) a)) (/ 1 b))
(* -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)
(/ (+ 1 (* eps (+ (* -1/2 a) (* 1/2 a)))) b)
(/ (+ 1 (+ (* eps (+ (* -1/2 a) (* 1/2 a))) (/ b a))) b)
(/ (+ a b) b)
(+ (/ 1 a) (+ (/ 1 b) (/ (* eps (+ (* -1/2 a) (* 1/2 a))) b)))
(* b (+ 1 (/ a b)))
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(+ (* -1 (/ (- (* eps (+ (* -1/2 a) (* 1/2 a))) 1) b)) (/ 1 a))
(* -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)))
(+ (* eps (+ (* -1/2 (/ (pow (+ a b) 2) (* a b))) (* 1/2 (/ (pow (+ a b) 2) (* a b))))) (+ (/ 1 a) (/ 1 b)))
(* eps (+ (* -1/2 (/ (pow (+ a b) 2) (* a b))) (* 1/2 (/ (pow (+ a b) 2) (* a b)))))
(* eps (+ (* -1/2 (/ (pow (+ a b) 2) (* a b))) (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (+ (/ 1 (* a eps)) (/ 1 (* b eps))))))
(* -1 (* eps (+ (* -1 (+ (* -1/2 (/ (pow (+ a b) 2) (* a b))) (* 1/2 (/ (pow (+ a b) 2) (* a b))))) (* -1 (/ (+ (/ 1 a) (/ 1 b)) eps)))))

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

rewrite295.0ms (1.1%)

Memory

1.3MiB live, 196.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	354
0	70	354
1	331	350
2	3148	350
0	8714	316

Stop Event

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

Counts

19 → 498

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

eval47.0ms (0.2%)

Memory: 9.1MiB live, 92.5MiB allocated
Compiler: Compiled 18 547 to 1 685 computations (90.9% saved)

prune14.0ms (0.1%)

Memory

-2.1MiB live, 35.1MiB allocated

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	395	1	396
Fresh	0	1	1
Picked	0	5	5
Done	0	3	3
Total	395	10	405

Accuracy

100.0%

Counts

405 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) b) a))
✓	61.5%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
✓	44.7%	#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))
✓	99.7%	#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))
▶	99.9%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (/ (+ b a) b) (-.f64 (/.f64 a b) #s(literal -1 binary64))))))
▶	99.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (+.f64 b a)) a)))
✓	44.9%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
✓	54.0%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
✓	100.0%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a))))
✓	2.0%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (+ (* (+ (* (* (* (* b a) (+ b a)) -1/2) (/ (+ b a) (* (* (* b a) a) b))) (* (/ (pow (+ b a) 2) b) (/ 1/2 a))) eps) (+ (/ 1 b) (/ 1 a))) #s(literal 0 binary64)))

Compiler

Compiled 378 to 248 computations (34.4% saved)

simplify153.0ms (0.6%)

Memory

-4.5MiB live, 119.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	152
0	39	152
1	74	152
2	140	148
3	236	144
4	448	144
5	962	144
6	2207	144
7	4561	144
8	6842	144
0	8035	132

Stop Event

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

Calls

Call 1

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

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

localize73.0ms (0.3%)

Memory

1.4MiB live, 112.1MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
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(literal 1 binary64) (/.f64 a #s(approx (/ (+ b a) b) (-.f64 (/.f64 a b) #s(literal -1 binary64))))))
accuracy	0.0234375	(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (/ (+ b a) b) (-.f64 (/.f64 a b) #s(literal -1 binary64)))))
accuracy	0.1015625	(/.f64 a #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(literal 1 binary64) (*.f64 (/.f64 b (+.f64 b a)) a)))
accuracy	0.0234375	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (+.f64 b a)) a))
accuracy	0.0390625	(/.f64 b (+.f64 b a))
accuracy	0.1015625	(*.f64 (/.f64 b (+.f64 b a)) a)

Samples

61.0ms

256×

valid

Compiler

Compiled 110 to 26 computations (76.4% saved)

Precisions

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

ival-expm1: 20.0ms (39.9% of total)

ival-div: 13.0ms (25.9% of total)

ival-mult: 12.0ms (23.9% of total)

ival-add: 3.0ms (6% of total)

ival-sub: 1.0ms (2% of total)

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

exact: 0.0ms (0% of total)

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

series19.0ms (0.1%)

Memory

-17.9MiB live, 29.0MiB allocated

Counts

8 → 58

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	b	@	inf	((/ 1 (* (/ b (+ b a)) a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (* (/ b (+ b a)) a) (/ b (+ b a)) (/ 1 (/ a (/ (+ b a) b))) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ a (/ (+ b a) b)) (/ (+ b a) b))
3.0ms	b	@	-inf	((/ 1 (* (/ b (+ b a)) a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (* (/ b (+ b a)) a) (/ b (+ b a)) (/ 1 (/ a (/ (+ b a) b))) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ a (/ (+ b a) b)) (/ (+ b a) b))
2.0ms	a	@	-inf	((/ 1 (* (/ b (+ b a)) a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (* (/ b (+ b a)) a) (/ b (+ b a)) (/ 1 (/ a (/ (+ b a) b))) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ a (/ (+ b a) b)) (/ (+ b a) b))
2.0ms	a	@	inf	((/ 1 (* (/ b (+ b a)) a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (* (/ b (+ b a)) a) (/ b (+ b a)) (/ 1 (/ a (/ (+ b a) b))) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ a (/ (+ b a) b)) (/ (+ b a) b))
1.0ms	b	@	0	((/ 1 (* (/ b (+ b a)) a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (* (/ b (+ b a)) a) (/ b (+ b a)) (/ 1 (/ a (/ (+ b a) b))) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ a (/ (+ b a) b)) (/ (+ b a) b))

simplify162.0ms (0.6%)

Memory

27.7MiB live, 180.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	352	1814
1	1054	1741
2	3198	1615
0	8223	1479

Stop Event

1×	iter limit
1×	node limit

Counts

58 → 56

Calls

Call 1

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

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

rewrite135.0ms (0.5%)

Memory

-6.8MiB live, 183.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	134
0	39	130
1	177	126
2	1331	126
0	8515	114

Stop Event

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

Counts

8 → 244

Calls

Call 1

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

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

eval36.0ms (0.1%)

Memory: -0.6MiB live, 73.4MiB allocated
Compiler: Compiled 12 820 to 1 203 computations (90.6% saved)

prune53.0ms (0.2%)

Memory

9.1MiB live, 58.3MiB allocated

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	281	2	283
Fresh	0	0	0
Picked	1	1	2
Done	0	8	8
Total	282	11	293

Accuracy

100.0%

Counts

293 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) b) a))
✓	61.5%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
✓	44.7%	#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))
✓	99.7%	#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))
✓	99.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (+.f64 b a)) a)))
	99.9%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (+.f64 a b)) b)))
	99.7%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal -1 binary64) (+.f64 a b)) (neg.f64 b)) a)))
✓	44.9%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
✓	54.0%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
✓	100.0%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a))))
✓	2.0%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (+ (* (+ (* (* (* (* b a) (+ b a)) -1/2) (/ (+ b a) (* (* (* b a) a) b))) (* (/ (pow (+ b a) 2) b) (/ 1/2 a))) eps) (+ (/ 1 b) (/ 1 a))) #s(literal 0 binary64)))

Compiler

Compiled 991 to 394 computations (60.2% saved)

regimes20.0ms (0.1%)

Memory

3.5MiB live, 40.9MiB allocated

Counts

15 → 1

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
100.0%	1	`a`
100.0%	1	`b`
100.0%	1	`eps`
100.0%	1	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`

Compiler

Compiled 27 to 26 computations (3.7% saved)

regimes10.0ms (0%)

Memory

-1.9MiB live, 37.4MiB allocated

Counts

5 → 2

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

Outputs

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

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

Calls

4 calls:

3.0ms	eps
2.0ms	a
2.0ms	b
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
82.4%	3	`a`
83.5%	2	`b`
72.4%	2	`eps`
61.5%	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)

regimes6.0ms (0%)

Memory

13.7MiB live, 13.7MiB allocated

Counts

2 → 1

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)) -1/2) (/ (+ b a) (* (* (* b a) a) b))) (* (/ (pow (+ b a) 2) b) (/ 1/2 a))) eps) (+ (/ 1 b) (/ 1 a))) #s(literal 0 binary64)))

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
54.0%	1	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`
54.0%	1	`eps`
54.0%	1	`a`
54.0%	1	`b`

Compiler

Compiled 27 to 26 computations (3.7% saved)

regimes6.0ms (0%)

Memory

-27.4MiB live, 11.7MiB 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))) #s(approx (+ (* (+ (* (* (* (* b a) (+ b a)) -1/2) (/ (+ b a) (* (* (* b a) a) b))) (* (/ (pow (+ b a) 2) b) (/ 1/2 a))) eps) (+ (/ 1 b) (/ 1 a))) #s(literal 0 binary64)))

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
2.0%	1	`a`
2.0%	1	`b`
2.0%	1	`eps`
2.0%	1	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch20.0ms (0.1%)

Memory

20.9MiB live, 20.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	2.1991449883143586e-178	3.27789878655395e-172

Samples

12.0ms

144×

valid

Compiler

Compiled 531 to 397 computations (25.2% saved)

Precisions

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

ival-mult: 4.0ms (46.8% of total)

ival-expm1: 2.0ms (23.4% of total)

ival-div: 1.0ms (11.7% of total)

ival-add: 1.0ms (11.7% of total)

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

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

simplify127.0ms (0.5%)

Memory

-28.6MiB live, 51.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	55	198
1	123	198
2	323	196
3	1437	188
4	5628	182

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 6404793347492095/278469275977917188637766821636980671685377716506870112950390168328813181592326500641230029987632531724770648777685205524334027387779262573135538410627576549575927409323746640019706676772864 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))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (+ (* (+ (* (* (* (* b a) (+ b a)) -1/2) (/ (+ b a) (* (* (* b a) a) b))) (* (/ (pow (+ b a) 2) b) (/ 1/2 a))) eps) (+ (/ 1 b) (/ 1 a))) #s(literal 0 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))))
#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)) (/.f64 #s(literal -1 binary64) a))))
(if (<=.f64 b #s(literal 6404793347492095/278469275977917188637766821636980671685377716506870112950390168328813181592326500641230029987632531724770648777685205524334027387779262573135538410627576549575927409323746640019706676772864 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)))
(if (<=.f64 b #s(literal 6404793347492095/278469275977917188637766821636980671685377716506870112950390168328813181592326500641230029987632531724770648777685205524334027387779262573135538410627576549575927409323746640019706676772864 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)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (+ (* (+ (* (* (* (* b a) (+ b a)) -1/2) (/ (+ b a) (* (* (* b a) a) b))) (* (/ (pow (+ b a) 2) b) (/ 1/2 a))) eps) (+ (/ 1 b) (/ 1 a))) #s(literal 0 binary64)))

soundness393.0ms (1.5%)

Memory

14.1MiB live, 281.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	551	3124
1	1650	2758
2	5403	2516
0	8599	2281
0	336	1742
1	1079	1694
2	3456	1586
0	8118	1416

Stop Event

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

Compiler

Compiled 214 to 82 computations (61.7% saved)

preprocess35.0ms (0.1%)

Memory: 26.3MiB live, 62.7MiB allocated
Remove: (sort a b)
Compiler: Compiled 698 to 314 computations (55% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze189.0ms (0.7%)

sample21.3s (81.9%)

explain253.0ms (1%)

preprocess215.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify163.0ms (0.6%)

localize46.0ms (0.2%)

series22.0ms (0.1%)

simplify183.0ms (0.7%)

rewrite159.0ms (0.6%)

eval37.0ms (0.1%)

prune9.0ms (0%)

simplify154.0ms (0.6%)

localize349.0ms (1.3%)

series148.0ms (0.6%)

simplify181.0ms (0.7%)

rewrite245.0ms (0.9%)

eval223.0ms (0.9%)

prune33.0ms (0.1%)

simplify175.0ms (0.7%)

localize163.0ms (0.6%)

series24.0ms (0.1%)

simplify144.0ms (0.6%)

rewrite295.0ms (1.1%)

eval47.0ms (0.2%)

prune14.0ms (0.1%)

simplify153.0ms (0.6%)

localize73.0ms (0.3%)

series19.0ms (0.1%)

simplify162.0ms (0.6%)

rewrite135.0ms (0.5%)

eval36.0ms (0.1%)

prune53.0ms (0.2%)

regimes20.0ms (0.1%)

regimes10.0ms (0%)

regimes6.0ms (0%)

regimes6.0ms (0%)

bsearch20.0ms (0.1%)

simplify127.0ms (0.5%)

soundness393.0ms (1.5%)

preprocess35.0ms (0.1%)

end0.0ms (0%)

Profiling