Metrics for expq3 (problem 3.4.2)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze217.0ms (0.8%)

Memory

-13.2MiB live, 223.8MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 52 to 27 computations (48.1% saved)

sample21.8s (82.9%)

Memory

254.9MiB live, 18 049.6MiB allocated

Samples

14.2s	63 107×	0	invalid
1.8s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 12.6s

ival-mult: 4.2s (32.9% of total)

ival-expm1: 2.2s (17.7% of total)

const: 1.8s (14% of total)

ival-<=: 1.2s (9.2% of total)

ival-fabs: 1.1s (8.7% of total)

ival-div: 788.0ms (6.2% of total)

ival-fmin: 570.0ms (4.5% of total)

ival-add: 546.0ms (4.3% of total)

ival-and: 231.0ms (1.8% of total)

exact: 54.0ms (0.4% of total)

ival-assert: 28.0ms (0.2% of total)

Bogosity

explain374.0ms (1.4%)

Memory

-1.0MiB live, 430.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
237	0	-	2	(-7.21213876582663e-53 -2.5769733310637016e-78 1.122603709355406e-95)	`(/.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))))`
138	118	(-7.36114104573142e-291 -6.823998764232341e-233 1.9149650732161034e-294)	6	(2.126855320074933e-254 4.4219882366690545e-56 1.1540377349764955e-265)	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`
110	146	(-7.36114104573142e-291 -6.823998764232341e-233 1.9149650732161034e-294)	7	(4.206397459442843e-148 4.666223162926028e-63 1.1716235658640107e-163)	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`
104	152	(-7.36114104573142e-291 -6.823998764232341e-233 1.9149650732161034e-294)	7	(2.126855320074933e-254 4.4219882366690545e-56 1.1540377349764955e-265)	`(-.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 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`	cancellation	250	0
`-.f64`	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	cancellation	249	0
`-.f64`	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	cancellation	249	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))))`	u/n	120	0
↳	`(.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))`	underflow	208
↳	`(*.f64 (+.f64 a b) eps)`	underflow	117
↳	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`	underflow	120
`/.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	88	0
↳	`(.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))`	underflow	208
↳	`(*.f64 (+.f64 a b) eps)`	underflow	117
↳	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`	underflow	120
↳	`(*.f64 b eps)`	underflow	151
↳	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	underflow	148
↳	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	underflow	153
↳	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`	underflow	235
↳	`(*.f64 a eps)`	underflow	146
`/.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	27	0
↳	`(*.f64 b eps)`	underflow	151
↳	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	underflow	148
↳	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	underflow	153
↳	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`	underflow	235
↳	`(*.f64 a eps)`	underflow	146

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
2	6
3	29
4	221

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Total Time

160.543212890625

Average Time

0.6271219253540039

Samples

31.0ms

256×

valid

Compiler

Compiled 323 to 87 computations (73.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 8.0ms (38.9% of total)

ival-exp: 5.0ms (24.3% of total)

ival-expm1: 4.0ms (19.5% of total)

ival-div: 2.0ms (9.7% of total)

ival-add: 2.0ms (9.7% of total)

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

exact: 0.0ms (0% of total)

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

preprocess178.0ms (0.7%)

Memory

16.8MiB live, 134.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(sort a b)

Compiler

Compiled 24 to 17 computations (29.2% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB 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)

simplify160.0ms (0.6%)

Memory

-34.7MiB live, 122.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize58.0ms (0.2%)

Memory

18.9MiB live, 99.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	23.464219422658626	(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))
accuracy	24.446337974536736	(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))
accuracy	31.1266216032569	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))
accuracy	57.22334831033233	(/.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

33.0ms

256×

valid

Compiler

Compiled 200 to 36 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 8.0ms (39.1% of total)

ival-exp: 5.0ms (24.4% of total)

ival-expm1: 4.0ms (19.5% of total)

ival-div: 2.0ms (9.8% of total)

ival-add: 2.0ms (9.8% of total)

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

exact: 0.0ms (0% of total)

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

series25.0ms (0.1%)

Memory

-0.0MiB live, 38.5MiB allocated

Counts

5 → 59

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	b	@	-inf	((- (exp (* (+ a b) eps)) 1) (- (exp (* a eps)) 1) (- (exp (* b eps)) 1) (* eps (- (exp (* (+ a b) eps)) 1)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))))
4.0ms	eps	@	0	((- (exp (* (+ a b) eps)) 1) (- (exp (* a eps)) 1) (- (exp (* b eps)) 1) (* eps (- (exp (* (+ a b) eps)) 1)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))))
3.0ms	eps	@	-inf	((- (exp (* (+ a b) eps)) 1) (- (exp (* a eps)) 1) (- (exp (* b eps)) 1) (* eps (- (exp (* (+ a b) eps)) 1)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))))
2.0ms	a	@	0	((- (exp (* (+ a b) eps)) 1) (- (exp (* a eps)) 1) (- (exp (* b eps)) 1) (* eps (- (exp (* (+ a b) eps)) 1)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))))
2.0ms	a	@	-inf	((- (exp (* (+ a b) eps)) 1) (- (exp (* a eps)) 1) (- (exp (* b eps)) 1) (* eps (- (exp (* (+ a b) eps)) 1)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))))

simplify144.0ms (0.5%)

Memory

23.6MiB live, 175.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

59 → 59

Calls

Call 1

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

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

rewrite148.0ms (0.6%)

Memory

8.9MiB live, 201.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 416

Calls

Call 1

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

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

eval74.0ms (0.3%)

Memory: -27.2MiB live, 93.5MiB allocated
Compiler: Compiled 18 301 to 1 811 computations (90.1% saved)

prune8.0ms (0%)

Memory

26.2MiB live, 26.2MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

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

Accuracy

100.0%

Counts

468 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	18.9%	(/.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) eps) (expm1.f64 (.f64 eps b))) (expm1.f64 (.f64 eps a)))
▶	39.7%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64)) (.f64 b b)) (/.f64 (/.f64 (+.f64 b a) a) a) (.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a))) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))
▶	99.7%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) b) a))
▶	48.6%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
▶	51.0%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))

Compiler

Compiled 350 to 228 computations (34.9% saved)

simplify156.0ms (0.6%)

Memory

1.8MiB live, 154.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	53	443
0	88	401
1	172	401
2	334	398
3	1049	376
4	4721	352
5	6222	352
0	8161	352

Stop Event

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

Calls

Call 1

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

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

localize304.0ms (1.2%)

Memory

7.1MiB live, 388.1MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(*.f64 eps (+.f64 b a))
accuracy	0.0390625	(.f64 (expm1.f64 (.f64 eps (+.f64 b a))) eps)
accuracy	35.979065552291694	(/.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) eps) (expm1.f64 (.f64 eps b))) (expm1.f64 (.f64 eps a)))
accuracy	50.55049768295241	(/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) eps) (expm1.f64 (*.f64 eps b)))
accuracy	0.33431625976844204	(*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a))
accuracy	12.285109017317264	(/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a)
accuracy	40.46741787204464	(/.f64 (.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64)) (*.f64 b b))
accuracy	62.42745779531943	(fma.f64 (/.f64 (.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64)) (.f64 b b)) (/.f64 (/.f64 (+.f64 b a) a) a) (.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a)))
accuracy	0	(/.f64 #s(literal 1 binary64) b)
accuracy	32.89088257495235	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
accuracy	0	(/.f64 #s(literal 1 binary64) a)
accuracy	31.358922196632523	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
accuracy	0	(+.f64 b a)
accuracy	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) b) a))
accuracy	0.01953125	(/.f64 (+.f64 b a) b)
accuracy	0.16015625	(/.f64 (/.f64 (+.f64 b a) b) a)

Samples

247.0ms

256×

valid

Compiler

Compiled 853 to 105 computations (87.7% saved)

Precisions

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

ival-div: 58.0ms (29.9% of total)

ival-mult: 53.0ms (27.3% of total)

adjust: 42.0ms (21.6% of total)

ival-expm1: 18.0ms (9.3% of total)

ival-add: 16.0ms (8.2% of total)

ival-pow2: 6.0ms (3.1% of total)

exact: 1.0ms (0.5% of total)

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

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

series112.0ms (0.4%)

Memory

0.2MiB live, 121.8MiB allocated

Counts

19 → 122

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
51.0ms	a	@	inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (+ b a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 b) (+ (* (/ (* (+ (* (* b a) b) (* (* b a) a)) -1/2) (* b b)) (/ (/ (+ b a) a) a)) (* (/ 1/2 b) (/ (pow (+ b a) 2) a))) (/ (* (+ (* (* b a) b) (* (* b a) a)) -1/2) (* b b)) (+ (* (* b a) b) (* (* b a) a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (* (- (exp (* eps (+ b a))) 1) eps) (- (exp (* eps b)) 1)) (- (exp (* eps a)) 1)) (/ (* (- (exp (* eps (+ b a))) 1) eps) (- (exp (* eps b)) 1)) (* (- (exp (* eps (+ b a))) 1) eps) (- (exp (* eps (+ b a))) 1) (/ (pow (+ b a) 2) a) (* (/ 1/2 b) (/ (pow (+ b a) 2) a)) (* eps (+ b a)))
17.0ms	b	@	0	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (+ b a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 b) (+ (* (/ (* (+ (* (* b a) b) (* (* b a) a)) -1/2) (* b b)) (/ (/ (+ b a) a) a)) (* (/ 1/2 b) (/ (pow (+ b a) 2) a))) (/ (* (+ (* (* b a) b) (* (* b a) a)) -1/2) (* b b)) (+ (* (* b a) b) (* (* b a) a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (* (- (exp (* eps (+ b a))) 1) eps) (- (exp (* eps b)) 1)) (- (exp (* eps a)) 1)) (/ (* (- (exp (* eps (+ b a))) 1) eps) (- (exp (* eps b)) 1)) (* (- (exp (* eps (+ b a))) 1) eps) (- (exp (* eps (+ b a))) 1) (/ (pow (+ b a) 2) a) (* (/ 1/2 b) (/ (pow (+ b a) 2) a)) (* eps (+ b a)))
10.0ms	b	@	-inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (+ b a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 b) (+ (* (/ (* (+ (* (* b a) b) (* (* b a) a)) -1/2) (* b b)) (/ (/ (+ b a) a) a)) (* (/ 1/2 b) (/ (pow (+ b a) 2) a))) (/ (* (+ (* (* b a) b) (* (* b a) a)) -1/2) (* b b)) (+ (* (* b a) b) (* (* b a) a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (* (- (exp (* eps (+ b a))) 1) eps) (- (exp (* eps b)) 1)) (- (exp (* eps a)) 1)) (/ (* (- (exp (* eps (+ b a))) 1) eps) (- (exp (* eps b)) 1)) (* (- (exp (* eps (+ b a))) 1) eps) (- (exp (* eps (+ b a))) 1) (/ (pow (+ b a) 2) a) (* (/ 1/2 b) (/ (pow (+ b a) 2) a)) (* eps (+ b a)))
8.0ms	a	@	0	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (+ b a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 b) (+ (* (/ (* (+ (* (* b a) b) (* (* b a) a)) -1/2) (* b b)) (/ (/ (+ b a) a) a)) (* (/ 1/2 b) (/ (pow (+ b a) 2) a))) (/ (* (+ (* (* b a) b) (* (* b a) a)) -1/2) (* b b)) (+ (* (* b a) b) (* (* b a) a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (* (- (exp (* eps (+ b a))) 1) eps) (- (exp (* eps b)) 1)) (- (exp (* eps a)) 1)) (/ (* (- (exp (* eps (+ b a))) 1) eps) (- (exp (* eps b)) 1)) (* (- (exp (* eps (+ b a))) 1) eps) (- (exp (* eps (+ b a))) 1) (/ (pow (+ b a) 2) a) (* (/ 1/2 b) (/ (pow (+ b a) 2) a)) (* eps (+ b a)))
8.0ms	a	@	-inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (+ b a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 b) (+ (* (/ (* (+ (* (* b a) b) (* (* b a) a)) -1/2) (* b b)) (/ (/ (+ b a) a) a)) (* (/ 1/2 b) (/ (pow (+ b a) 2) a))) (/ (* (+ (* (* b a) b) (* (* b a) a)) -1/2) (* b b)) (+ (* (* b a) b) (* (* b a) a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (* (- (exp (* eps (+ b a))) 1) eps) (- (exp (* eps b)) 1)) (- (exp (* eps a)) 1)) (/ (* (- (exp (* eps (+ b a))) 1) eps) (- (exp (* eps b)) 1)) (* (- (exp (* eps (+ b a))) 1) eps) (- (exp (* eps (+ b a))) 1) (/ (pow (+ b a) 2) a) (* (/ 1/2 b) (/ (pow (+ b a) 2) a)) (* eps (+ b a)))

simplify151.0ms (0.6%)

Memory

15.8MiB live, 169.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	540	3047
1	1710	2922
2	5301	2908
0	8572	2586

Stop Event

1×	iter limit
1×	node limit

Counts

122 → 119

Calls

Call 1

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

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

rewrite196.0ms (0.7%)

Memory

0.3MiB live, 189.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	307
0	88	271
1	398	271
2	3336	269
0	8763	267

Stop Event

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

Counts

19 → 698

Calls

Call 1

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

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

eval160.0ms (0.6%)

Memory: 10.5MiB live, 210.4MiB allocated
Compiler: Compiled 53 405 to 4 641 computations (91.3% saved)

prune24.0ms (0.1%)

Memory

-8.2MiB live, 66.9MiB allocated

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	983	6	989
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	985	9	994

Accuracy

100.0%

Counts

994 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	43.7%	(/.f64 #s(approx (/ (* (- (exp (* eps (+ b a))) 1) eps) (- (exp (* eps b)) 1)) (.f64 (/.f64 (+.f64 b a) b) eps)) (expm1.f64 (.f64 eps 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))
▶	99.7%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) a) b))
▶	60.2%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
▶	48.4%	#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))
▶	99.9%	#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)))
✓	48.6%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
✓	51.0%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
▶	99.9%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))

Compiler

Compiled 496 to 329 computations (33.7% saved)

simplify120.0ms (0.5%)

Memory

21.1MiB live, 143.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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	320	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (+.f64 b a)) a))
cost-diff	0	(+.f64 b a)
cost-diff	0	(/.f64 (+.f64 b a) a)
cost-diff	0	(/.f64 (/.f64 (+.f64 b a) a) b)
cost-diff	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) a) b))
cost-diff	0	(/.f64 a b)
cost-diff	0	#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	-384	(/.f64 (+.f64 b a) (*.f64 b a))
cost-diff	0	(*.f64 b a)
cost-diff	0	(+.f64 b a)
cost-diff	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
cost-diff	0	(/.f64 #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	40	289
0	53	285
1	88	285
2	147	285
3	240	285
4	440	285
5	942	285
6	2062	285
7	5008	285
8	7399	285
0	8132	255

Stop Event

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

Calls

Call 1

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

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

localize127.0ms (0.5%)

Memory

-11.1MiB live, 105.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	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	0.03515625	(/.f64 b (+.f64 b a))
accuracy	0.046875	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (+.f64 b a)) a))
accuracy	0.06640625	(*.f64 (/.f64 b (+.f64 b a)) a)
accuracy	0	(+.f64 b a)
accuracy	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) a) b))
accuracy	0.05078125	(/.f64 (+.f64 b a) a)
accuracy	0.1484375	(/.f64 (/.f64 (+.f64 b a) a) b)
accuracy	0	(/.f64 a b)
accuracy	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	32.64000329259508	#s(approx (/ (+ b a) b) (/.f64 a b))
accuracy	0	(+.f64 b a)
accuracy	0	(*.f64 b a)
accuracy	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
accuracy	25.465462352923574	(/.f64 (+.f64 b a) (*.f64 b a))
accuracy	0	(/.f64 #s(literal 1 binary64) a)
accuracy	0	#s(approx (/ (/ (+ b a) b) a) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))
accuracy	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))
accuracy	0.03515625	(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))

Samples

87.0ms

256×

valid

Compiler

Compiled 510 to 71 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-div: 17.0ms (46.5% of total)

ival-mult: 11.0ms (30.1% of total)

ival-add: 4.0ms (10.9% of total)

ival-expm1: 4.0ms (10.9% of total)

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

exact: 0.0ms (0% of total)

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

series25.0ms (0.1%)

Memory

1.0MiB live, 36.9MiB allocated

Counts

20 → 67

Calls

Call 1

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

Outputs
(/ 1 a)
(/ (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) a)
(/ (+ 1 (* a (- (+ (* a (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a)
(/ (+ 1 (* a (- (+ (* a (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (* a (- (* 1/6 (/ (* (pow eps 3) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a)
(/ (+ 1 (/ a b)) a)
b
(+ a b)
(* a b)
1
(+ 1 (/ a b))
(/ a b)
(/ b a)
(/ (+ a b) 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 (/ a b)))
(+ 1 (* a (- (/ a (pow b 2)) (/ 1 b))))
(+ 1 (* a (- (* a (+ (* -1 (/ a (pow b 3))) (/ 1 (pow b 2)))) (/ 1 b))))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ 1 b)
(+ (/ 1 a) (/ 1 b))
(* a (+ 1 (/ b a)))
(* a (+ (/ 1 a) (/ 1 b)))
(+ 1 (/ b a))
(+ 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 (* -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)
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 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 (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b)
(/ (+ 1 (* b (- (+ (* b (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b)
(/ (+ 1 (* b (- (+ (* b (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (* b (- (* 1/6 (/ (* (pow eps 3) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b)
(/ (+ 1 (/ b a)) b)
(/ (+ a b) b)
(* b (+ 1 (* -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)))
(* b (+ 1 (/ a b)))
(* b (+ (/ 1 a) (/ 1 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)))
(* -1 (* b (- (* -1 (/ a b)) 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
7.0ms	a	@	-inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (+ (/ 1 b) (/ 1 a)) (/ 1 b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ b a) (* b a) (/ (+ b a) (* b a)) (/ (* 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) a) b) (/ (+ b a) a) (/ 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))
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) (/ (+ 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) a) b) (/ (+ b a) a) (/ 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))
2.0ms	a	@	inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (+ (/ 1 b) (/ 1 a)) (/ 1 b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ b a) (* b a) (/ (+ b a) (* b a)) (/ (* 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) a) b) (/ (+ b a) a) (/ 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))
2.0ms	b	@	inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (+ (/ 1 b) (/ 1 a)) (/ 1 b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ b a) (* b a) (/ (+ b a) (* b a)) (/ (* 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) a) b) (/ (+ b a) a) (/ 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))
2.0ms	b	@	0	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (+ (/ 1 b) (/ 1 a)) (/ 1 b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ b a) (* b a) (/ (+ b a) (* b a)) (/ (* 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) a) b) (/ (+ b a) a) (/ 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))

simplify138.0ms (0.5%)

Memory

4.3MiB live, 160.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	362	1856
1	1088	1781
2	3239	1680
0	8107	1538

Stop Event

1×	iter limit
1×	node limit

Counts

67 → 65

Calls

Call 1

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

rewrite200.0ms (0.8%)

Memory

8.2MiB live, 202.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	271
0	53	267
1	215	267
2	1756	267
0	8557	237

Stop Event

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

Counts

20 → 1 480

Calls

Call 1

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

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

eval135.0ms (0.5%)

Memory: -8.0MiB live, 178.7MiB allocated
Compiler: Compiled 37 950 to 3 449 computations (90.9% saved)

prune42.0ms (0.2%)

Memory

-7.1MiB live, 45.4MiB allocated

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	832	1	833
Fresh	0	1	1
Picked	0	5	5
Done	0	3	3
Total	832	10	842

Accuracy

100.0%

Counts

842 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	43.7%	(/.f64 #s(approx (/ (* (- (exp (* eps (+ b a))) 1) eps) (- (exp (* eps b)) 1)) (.f64 (/.f64 (+.f64 b a) b) eps)) (expm1.f64 (.f64 eps 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))
✓	99.7%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) a) b))
✓	60.2%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
✓	48.4%	#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))
▶	50.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) a) (/.f64 b a)) b))
✓	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 b (+.f64 b a)) a)))
✓	48.6%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
✓	51.0%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
✓	99.9%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))

Compiler

Compiled 328 to 218 computations (33.5% saved)

simplify123.0ms (0.5%)

Memory

10.4MiB live, 117.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (+.f64 b a) b)
cost-diff	0	#s(approx (/ (* (- (exp (* eps (+ b a))) 1) eps) (- (exp (* eps b)) 1)) (*.f64 (/.f64 (+.f64 b a) b) eps))
cost-diff	0	(/.f64 #s(approx (/ (* (- (exp (* eps (+ b a))) 1) eps) (- (exp (* eps b)) 1)) (.f64 (/.f64 (+.f64 b a) b) eps)) (expm1.f64 (.f64 eps a)))
cost-diff	128	(*.f64 (/.f64 (+.f64 b a) b) eps)
cost-diff	0	(/.f64 b a)
cost-diff	0	#s(approx (/ (+ b a) a) (/.f64 b a))
cost-diff	0	(/.f64 #s(approx (/ (+ b a) a) (/.f64 b a)) b)
cost-diff	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) a) (/.f64 b a)) b))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	141
0	47	139
1	92	139
2	142	139
3	224	139
4	384	139
5	710	139
6	1306	139
7	3559	139
8	6088	139
9	7572	139
10	7991	139
0	8001	124

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(approx (/ (+ b a) a) (/.f64 b a)) b))
(/.f64 #s(approx (/ (+ b a) a) (/.f64 b a)) b)
#s(approx (/ (+ b a) a) (/.f64 b a))
(/.f64 b a)
b
a
(/.f64 #s(approx (/ (* (- (exp (* eps (+ b a))) 1) eps) (- (exp (* eps b)) 1)) (.f64 (/.f64 (+.f64 b a) b) eps)) (expm1.f64 (.f64 eps a)))
#s(approx (/ (* (- (exp (* eps (+ b a))) 1) eps) (- (exp (* eps b)) 1)) (*.f64 (/.f64 (+.f64 b a) b) eps))
(*.f64 (/.f64 (+.f64 b a) b) eps)
(/.f64 (+.f64 b a) b)
(+.f64 b a)
b
a
eps
(expm1.f64 (*.f64 eps a))
(*.f64 eps a)

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

localize81.0ms (0.3%)

Memory

-2.3MiB live, 118.9MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	#s(approx (/ (* (- (exp (* eps (+ b a))) 1) eps) (- (exp (* eps b)) 1)) (*.f64 (/.f64 (+.f64 b a) b) eps))
accuracy	0.01953125	(/.f64 (+.f64 b a) b)
accuracy	0.13671875	(*.f64 (/.f64 (+.f64 b a) b) eps)
accuracy	35.979065552291694	(/.f64 #s(approx (/ (* (- (exp (* eps (+ b a))) 1) eps) (- (exp (* eps b)) 1)) (.f64 (/.f64 (+.f64 b a) b) eps)) (expm1.f64 (.f64 eps a)))
accuracy	0	(/.f64 b a)
accuracy	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) a) (/.f64 b a)) b))
accuracy	0.1484375	(/.f64 #s(approx (/ (+ b a) a) (/.f64 b a)) b)
accuracy	31.18811699979632	#s(approx (/ (+ b a) a) (/.f64 b a))

Samples

65.0ms

256×

valid

Compiler

Compiled 252 to 68 computations (73% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-mult: 30.0ms (55.5% of total)

ival-div: 11.0ms (20.3% of total)

ival-expm1: 8.0ms (14.8% of total)

ival-add: 5.0ms (9.2% of total)

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

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

series18.0ms (0.1%)

Memory

34.8MiB live, 34.8MiB allocated

Counts

8 → 47

Calls

Call 1

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

Calls

9 calls:

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

simplify240.0ms (0.9%)

Memory

-10.6MiB live, 225.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	331	2014
1	985	1964
2	3218	1964
0	8284	1739

Stop Event

1×	iter limit
1×	node limit

Counts

47 → 46

Calls

Call 1

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

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

rewrite127.0ms (0.5%)

Memory

11.0MiB live, 167.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	126
0	47	124
1	234	124
2	1326	124
0	8248	112

Stop Event

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

Counts

8 → 186

Calls

Call 1

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

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

eval30.0ms (0.1%)

Memory: -26.3MiB live, 49.0MiB allocated
Compiler: Compiled 9 726 to 1 088 computations (88.8% saved)

prune8.0ms (0%)

Memory

22.8MiB live, 22.8MiB allocated

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	221	1	222
Fresh	0	0	0
Picked	1	1	2
Done	0	8	8
Total	222	10	232

Accuracy

100.0%

Counts

232 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.7%	(/.f64 #s(approx (/ (* (- (exp (* eps (+ b a))) 1) eps) (- (exp (* eps b)) 1)) (.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) eps)) (expm1.f64 (.f64 eps 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))
✓	99.7%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) a) b))
✓	60.2%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
✓	48.4%	#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))
✓	50.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) a) (/.f64 b a)) b))
✓	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 b (+.f64 b a)) a)))
✓	48.6%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
✓	51.0%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
✓	99.9%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))

Compiler

Compiled 805 to 322 computations (60% saved)

regimes20.0ms (0.1%)

Memory

-7.8MiB live, 30.1MiB allocated

Counts

14 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.9%	1	`a`
99.9%	1	`b`
99.9%	1	`eps`
99.9%	1	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`

Compiler

Compiled 27 to 26 computations (3.7% saved)

regimes9.0ms (0%)

Memory

13.3MiB live, 13.3MiB allocated

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

2.0ms	a
2.0ms	eps
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
82.8%	3	`a`
86.1%	3	`b`
74.1%	4	`eps`
60.2%	1	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`

Compiler

Compiled 27 to 26 computations (3.7% saved)

regimes2.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
84.4%	2	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes5.0ms (0%)

Memory

9.1MiB live, 9.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
51.0%	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))))`
51.0%	1	`eps`
51.0%	1	`a`
51.0%	1	`b`

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch38.0ms (0.1%)

Memory

-22.4MiB live, 23.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	1.1021427811535458e-75	1.6300820289457272e-75
30.0ms	9.140712165453242e-181	4.43325398173587e-179

Samples

29.0ms

160×

valid

Compiler

Compiled 599 to 442 computations (26.2% saved)

Precisions

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

ival-div: 17.0ms (68.2% of total)

ival-mult: 5.0ms (20.1% of total)

ival-expm1: 3.0ms (12% of total)

ival-add: 1.0ms (4% of total)

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

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

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	9.140712165453242e-181	4.43325398173587e-179

Compiler

Compiled 419 to 313 computations (25.3% saved)

simplify38.0ms (0.1%)

Memory

2.4MiB live, 40.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	224
1	44	224

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))
(if (<=.f64 b #s(literal 2408968646104519/72999049881955123498258745691204661198291656115976958889267080286388402675338838184094604981077942396458276953177510516971019275542007007972042581115555427012031914789764239201325987075945660416 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) (if (<=.f64 b #s(literal 4888886343202767/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))))
(if (<=.f64 b #s(literal 2408968646104519/72999049881955123498258745691204661198291656115976958889267080286388402675338838184094604981077942396458276953177510516971019275542007007972042581115555427012031914789764239201325987075945660416 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))

Outputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
(if (<=.f64 b #s(literal 2408968646104519/72999049881955123498258745691204661198291656115976958889267080286388402675338838184094604981077942396458276953177510516971019275542007007972042581115555427012031914789764239201325987075945660416 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) (if (<=.f64 b #s(literal 4888886343202767/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))))
(if (<=.f64 b #s(literal 2408968646104519/72999049881955123498258745691204661198291656115976958889267080286388402675338838184094604981077942396458276953177510516971019275542007007972042581115555427012031914789764239201325987075945660416 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))

soundness443.0ms (1.7%)

Memory

-4.1MiB live, 275.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	370	2068
1	1205	2020
2	3798	2020
0	8068	1792
0	53	307
0	88	271
1	398	271
2	3336	269
0	8763	267
0	540	3047
1	1710	2922
2	5301	2908
0	8572	2586

Stop Event

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

Compiler

Compiled 285 to 100 computations (64.9% saved)

preprocess34.0ms (0.1%)

Memory: -10.3MiB live, 64.3MiB allocated
Remove: (sort a b)
Compiler: Compiled 670 to 230 computations (65.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze217.0ms (0.8%)

sample21.8s (82.9%)

explain374.0ms (1.4%)

preprocess178.0ms (0.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify160.0ms (0.6%)

localize58.0ms (0.2%)

series25.0ms (0.1%)

simplify144.0ms (0.5%)

rewrite148.0ms (0.6%)

eval74.0ms (0.3%)

prune8.0ms (0%)

simplify156.0ms (0.6%)

localize304.0ms (1.2%)

series112.0ms (0.4%)

simplify151.0ms (0.6%)

rewrite196.0ms (0.7%)

eval160.0ms (0.6%)

prune24.0ms (0.1%)

simplify120.0ms (0.5%)

localize127.0ms (0.5%)

series25.0ms (0.1%)

simplify138.0ms (0.5%)

rewrite200.0ms (0.8%)

eval135.0ms (0.5%)

prune42.0ms (0.2%)

simplify123.0ms (0.5%)

localize81.0ms (0.3%)

series18.0ms (0.1%)

simplify240.0ms (0.9%)

rewrite127.0ms (0.5%)

eval30.0ms (0.1%)

prune8.0ms (0%)

regimes20.0ms (0.1%)

regimes9.0ms (0%)

regimes2.0ms (0%)

regimes5.0ms (0%)

bsearch38.0ms (0.1%)

bsearch1.0ms (0%)

simplify38.0ms (0.1%)

soundness443.0ms (1.7%)

preprocess34.0ms (0.1%)

end0.0ms (0%)

Profiling