Metrics for expq3 (problem 3.4.2)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze174.0ms (0.7%)

Memory

-1.7MiB live, 157.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 52 to 27 computations (48.1% saved)

sample20.1s (78.6%)

Memory

167.7MiB live, 17 203.9MiB allocated

Samples

13.7s	63 396×	0	invalid
1.8s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 11.7s

ival-mult: 3.5s (29.8% of total)

ival-expm1: 1.9s (16.5% of total)

const: 1.9s (16% of total)

ival-fabs: 1.1s (9.2% of total)

ival-add: 942.0ms (8% of total)

ival-<=: 899.0ms (7.7% of total)

ival-fmin: 642.0ms (5.5% of total)

ival-div: 558.0ms (4.8% of total)

ival-and: 215.0ms (1.8% of total)

exact: 49.0ms (0.4% of total)

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

Bogosity

explain648.0ms (2.5%)

Memory

-2.7MiB live, 159.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
235	0	-	2	(-3.549884238748317e-89 5.123087972917252e-14 7.992877549425142e-110)	`(/.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))))`
139	2	(-1.6967083600975357e-235 1.5907381360909232e-76 2.602337612056399e-247)	0	-	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`
102	1	(-1.6967083600975357e-235 1.5907381360909232e-76 2.602337612056399e-247)	0	-	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`
102	1	(-9.301919124629119e-145 6.514506479812878e-174 2.0826213207910278e-179)	0	-	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`
0	0	-	0	-	`(+.f64 a b)`
0	0	-	0	-	`(*.f64 b eps)`
0	0	-	0	-	`(exp.f64 (*.f64 a eps))`
0	0	-	0	-	`a`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(*.f64 a eps)`
0	0	-	0	-	`(exp.f64 (*.f64 (+.f64 a b) eps))`
0	0	-	0	-	`eps`
0	0	-	0	-	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`
0	0	-	0	-	`(.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))`
0	0	-	0	-	`(*.f64 (+.f64 a b) eps)`
0	0	-	0	-	`(exp.f64 (*.f64 b eps))`
0	0	-	0	-	`b`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`	u/u	218	0
↳	`(.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))`	underflow	218
↳	`(*.f64 (+.f64 a b) eps)`	underflow	115
↳	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`	underflow	115
↳	`(*.f64 b eps)`	underflow	153
↳	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	underflow	153
↳	`(-.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	233
↳	`(*.f64 a eps)`	underflow	153
`-.f64`	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`	cancellation	141	0
`-.f64`	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	cancellation	103	0
`-.f64`	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	cancellation	103	0
`/.f64`	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`	n/u	15	0
↳	`(*.f64 b eps)`	underflow	153
↳	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	underflow	153
↳	`(-.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	233
↳	`(*.f64 a eps)`	underflow	153

Confusion

	Predicted +	Predicted -
+	256	0
-	0	0

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
1	115
3	99
4	42

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

248.0ms

512×

valid

Compiler

Compiled 325 to 72 computations (77.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 228.0ms

ival-expm1: 196.0ms (86.1% of total)

ival-mult: 15.0ms (6.6% of total)

ival-exp: 10.0ms (4.4% of total)

ival-div: 3.0ms (1.3% of total)

ival-add: 3.0ms (1.3% of total)

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

exact: 0.0ms (0% of total)

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

preprocess252.0ms (1%)

Memory

-21.5MiB live, 133.9MiB 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: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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)

simplify292.0ms (1.1%)

Memory

14.7MiB live, 124.6MiB 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)

localize64.0ms (0.2%)

Memory

17.9MiB live, 105.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	22.738488122119662	(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))
accuracy	22.960503192071947	(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))
accuracy	30.921931839185778	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))
accuracy	56.47368840452268	(/.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

52.0ms

256×

valid

Compiler

Compiled 200 to 36 computations (82% saved)

Precisions

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

ival-expm1: 17.0ms (40.8% of total)

ival-exp: 11.0ms (26.4% of total)

ival-mult: 10.0ms (24% of total)

ival-div: 2.0ms (4.8% of total)

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

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

exact: 0.0ms (0% of total)

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

series55.0ms (0.2%)

Memory

-17.4MiB live, 21.8MiB 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
35.0ms	b	@	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))))
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	b	@	-inf	((- (exp (* (+ a b) eps)) 1) (- (exp (* a eps)) 1) (- (exp (* b eps)) 1) (* eps (- (exp (* (+ a b) eps)) 1)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))))
3.0ms	eps	@	-inf	((- (exp (* (+ a b) eps)) 1) (- (exp (* a eps)) 1) (- (exp (* b eps)) 1) (* eps (- (exp (* (+ a b) eps)) 1)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))))
2.0ms	a	@	-inf	((- (exp (* (+ a b) eps)) 1) (- (exp (* a eps)) 1) (- (exp (* b eps)) 1) (* eps (- (exp (* (+ a b) eps)) 1)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))))

simplify147.0ms (0.6%)

Memory

37.3MiB live, 223.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

59 → 59

Calls

Call 1

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

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

rewrite157.0ms (0.6%)

Memory

-16.7MiB live, 228.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 416

Calls

Call 1

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

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

eval74.0ms (0.3%)

Memory: 12.7MiB live, 87.1MiB allocated
Compiler: Compiled 18 301 to 1 811 computations (90.1% saved)

prune62.0ms (0.2%)

Memory

-27.3MiB live, 65.6MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	461	6	467
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	462	6	468

Accuracy

100.0%

Counts

468 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.6%	(/.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps (+.f64 b a)))) (expm1.f64 (.f64 eps b)))
▶	33.2%	#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))))
▶	40.5%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (.f64 eps a))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b))
▶	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))
▶	47.6%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
▶	51.6%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))

Compiler

Compiled 436 to 286 computations (34.4% saved)

simplify170.0ms (0.7%)

Memory

9.9MiB live, 202.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (.f64 eps a))) #s(literal 1/2 binary64)))
cost-diff	0	(fma.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (.f64 eps a))) #s(literal 1/2 binary64))) b #s(literal 1 binary64))
cost-diff	0	(/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (.f64 eps a))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b)
cost-diff	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (.f64 eps a))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b))
cost-diff	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (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: 0 (0.0ms)

Iter	Nodes	Cost
0	54	501
0	88	473
1	161	473
2	337	470
3	1069	448
4	4803	424
5	6249	424
0	8188	404

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

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

localize362.0ms (1.4%)

Memory

16.8MiB live, 492.3MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.08203125	(/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 eps a)))
accuracy	0.11328125	(fma.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (.f64 eps a))) #s(literal 1/2 binary64))) b #s(literal 1 binary64))
accuracy	0.125	(/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (.f64 eps a))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b)
accuracy	37.874239330733666	(.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (.f64 eps a))) #s(literal 1/2 binary64)))
accuracy	0.296875	(*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a))
accuracy	12.444921318428829	(/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a)
accuracy	41.75551909005743	(/.f64 (.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64)) (*.f64 b b))
accuracy	62.46911478648235	(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	0.0	(/.f64 #s(literal 1 binary64) b)
accuracy	33.55465698100729	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
accuracy	0.0	(/.f64 #s(literal 1 binary64) a)
accuracy	30.973041732644127	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
accuracy	0.0	(+.f64 b a)
accuracy	0.0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) b) a))
accuracy	0.02734375	(/.f64 (+.f64 b a) b)
accuracy	0.16015625	(/.f64 (/.f64 (+.f64 b a) b) a)

Samples

304.0ms

256×

valid

Compiler

Compiled 946 to 107 computations (88.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 228.0ms

ival-div: 64.0ms (28.1% of total)

ival-mult: 61.0ms (26.8% of total)

adjust: 39.0ms (17.1% of total)

ival-add: 38.0ms (16.7% of total)

ival-expm1: 10.0ms (4.4% of total)

ival-pow2: 6.0ms (2.6% of total)

ival-pow: 4.0ms (1.8% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series147.0ms (0.6%)

Memory

-18.1MiB live, 172.3MiB allocated

Counts

19 → 108

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

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

Calls

9 calls:

Time	Variable		Point	Expression
47.0ms	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))) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (* (* eps (- (/ (pow (exp a) eps) (- (exp (* eps a)) 1)) 1/2)) b) 1) b) (+ (* (* eps (- (/ (pow (exp a) eps) (- (exp (* eps a)) 1)) 1/2)) b) 1) (* eps (- (/ (pow (exp a) eps) (- (exp (* eps a)) 1)) 1/2)) (/ (pow (+ b a) 2) a) (* (/ 1/2 b) (/ (pow (+ b a) 2) a)) (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))
31.0ms	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))) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (* (* eps (- (/ (pow (exp a) eps) (- (exp (* eps a)) 1)) 1/2)) b) 1) b) (+ (* (* eps (- (/ (pow (exp a) eps) (- (exp (* eps a)) 1)) 1/2)) b) 1) (* eps (- (/ (pow (exp a) eps) (- (exp (* eps a)) 1)) 1/2)) (/ (pow (+ b a) 2) a) (* (/ 1/2 b) (/ (pow (+ b a) 2) a)) (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))
24.0ms	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))) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (* (* eps (- (/ (pow (exp a) eps) (- (exp (* eps a)) 1)) 1/2)) b) 1) b) (+ (* (* eps (- (/ (pow (exp a) eps) (- (exp (* eps a)) 1)) 1/2)) b) 1) (* eps (- (/ (pow (exp a) eps) (- (exp (* eps a)) 1)) 1/2)) (/ (pow (+ b a) 2) a) (* (/ 1/2 b) (/ (pow (+ b a) 2) a)) (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))
14.0ms	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))) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (* (* eps (- (/ (pow (exp a) eps) (- (exp (* eps a)) 1)) 1/2)) b) 1) b) (+ (* (* eps (- (/ (pow (exp a) eps) (- (exp (* eps a)) 1)) 1/2)) b) 1) (* eps (- (/ (pow (exp a) eps) (- (exp (* eps a)) 1)) 1/2)) (/ (pow (+ b a) 2) a) (* (/ 1/2 b) (/ (pow (+ b a) 2) a)) (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))
9.0ms	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))) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (* (* eps (- (/ (pow (exp a) eps) (- (exp (* eps a)) 1)) 1/2)) b) 1) b) (+ (* (* eps (- (/ (pow (exp a) eps) (- (exp (* eps a)) 1)) 1/2)) b) 1) (* eps (- (/ (pow (exp a) eps) (- (exp (* eps a)) 1)) 1/2)) (/ (pow (+ b a) 2) a) (* (/ 1/2 b) (/ (pow (+ b a) 2) a)) (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))

simplify142.0ms (0.6%)

Memory

34.8MiB live, 145.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	505	2993
1	1499	2602
2	4753	2587
0	8060	2320

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 106

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

Outputs
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) a)
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(/ (* 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)
(* -1 (/ (+ (* -1/2 a) (* 1/2 a)) b))
#s(literal 0 binary64)
(* -1 (* b (- (* -1 (* eps (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))) (/ 1 b))))
(fma.f64 (.f64 (-.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64)) eps) b #s(literal 1 binary64))
(* (pow b 2) (+ (* -1 (/ (- (* -1 (/ a b)) 2) b)) (/ 1 a)))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 a b)) b)) (.f64 b b))
(* -1 (* b (- (* -1 (/ (+ 1 (* 1/2 (/ a b))) b)) (* 1/2 (/ 1 a)))))
(*.f64 (+.f64 (/.f64 (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) #s(literal 1 binary64)) b) (/.f64 #s(literal 1/2 binary64) a)) b)
(/ (+ a b) (* a b))
(/.f64 (/.f64 (+.f64 b a) b) a)
(+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(fma.f64 (fma.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 (.f64 (.f64 a (+.f64 b a)) 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 #s(literal -1/2 binary64) b) (/.f64 (.f64 (.f64 a (+.f64 b a)) b) b)) (/.f64 (/.f64 (+.f64 b a) a) a) (fma.f64 (-.f64 (.f64 (/.f64 #s(literal 1/6 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 3 binary64)) a)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (pow.f64 b #s(literal 3 binary64)) a (.f64 (pow.f64 a #s(literal 3 binary64)) b)) (.f64 (.f64 (.f64 (.f64 a a) b) b) #s(literal 1/4 binary64))) (.f64 a a)) (/.f64 (+.f64 b a) (.f64 b b)) (.f64 (fma.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 (.f64 (.f64 a (+.f64 b a)) b) b)) (/.f64 (/.f64 (+.f64 b a) a) a) (.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a))) (/.f64 (.f64 (.f64 (.f64 a (+.f64 b a)) b) #s(literal 1/2 binary64)) (.f64 b a))))) eps (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a)))) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))
(+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (+ (* 1/6 (/ (pow (+ a b) 3) (* a b))) (* eps (- (* 1/24 (/ (pow (+ a b) 4) (* a b))) (+ (/ (* (+ a b) (+ (* 1/24 (* a (pow b 4))) (+ (* 1/24 (* (pow a 4) b)) (+ (* 1/12 (* (pow a 2) (pow b 3))) (* 1/12 (* (pow a 3) (pow b 2))))))) (* (pow a 2) (pow b 2))) (+ (/ (* (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2))))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b))))) (* a b))))))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (/.f64 #s(literal 1/24 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 4 binary64)) a)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 b #s(literal 4 binary64)) a (.f64 (pow.f64 a #s(literal 4 binary64)) b)) (.f64 (fma.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) b) b (.f64 (.f64 (pow.f64 b #s(literal 3 binary64)) a) a)) #s(literal 1/12 binary64))) (.f64 a a)) (/.f64 (+.f64 b a) (.f64 b b)) (fma.f64 (-.f64 (.f64 (/.f64 #s(literal 1/6 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 3 binary64)) a)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (pow.f64 b #s(literal 3 binary64)) a (.f64 (pow.f64 a #s(literal 3 binary64)) b)) (.f64 (.f64 (.f64 (.f64 a a) b) b) #s(literal 1/4 binary64))) (.f64 a a)) (/.f64 (+.f64 b a) (.f64 b b)) (.f64 (fma.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 (.f64 (.f64 a (+.f64 b a)) b) b)) (/.f64 (/.f64 (+.f64 b a) a) a) (.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a))) (/.f64 (.f64 (.f64 (.f64 a (+.f64 b a)) b) #s(literal 1/2 binary64)) (.f64 b a))))) (/.f64 (.f64 (.f64 (.f64 a (+.f64 b a)) b) #s(literal 1/2 binary64)) (.f64 b a)) (.f64 (fma.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 (.f64 (.f64 a (+.f64 b a)) 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 (.f64 (.f64 (.f64 a a) b) b) #s(literal 1/4 binary64))) (.f64 b a)))))) eps (-.f64 (.f64 (/.f64 #s(literal 1/6 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 3 binary64)) a)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (pow.f64 b #s(literal 3 binary64)) a (.f64 (pow.f64 a #s(literal 3 binary64)) b)) (.f64 (.f64 (.f64 (.f64 a a) b) b) #s(literal 1/4 binary64))) (.f64 a a)) (/.f64 (+.f64 b a) (.f64 b b)) (.f64 (fma.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 (.f64 (.f64 a (+.f64 b a)) b) b)) (/.f64 (/.f64 (+.f64 b a) a) a) (.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a))) (/.f64 (.f64 (.f64 (.f64 a (+.f64 b a)) b) #s(literal 1/2 binary64)) (.f64 b a)))))) eps (fma.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 (.f64 (.f64 a (+.f64 b a)) 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)))
(+ (* (pow eps 2) (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))) (+ (/ 1 a) (/ 1 b)))
(fma.f64 (.f64 (.f64 a #s(literal 1/12 binary64)) eps) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))
(+ (* (pow eps 2) (- (+ (* 1/2 a) (* eps (- (* 1/6 (pow a 2)) (+ (* 1/24 (pow a 2)) (+ (* 1/12 (pow a 2)) (* 1/2 (* a (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))))))))) (+ (* 1/6 a) (* 1/4 a)))) (+ (/ 1 a) (/ 1 b)))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) a (fma.f64 (.f64 (.f64 a #s(literal 1/12 binary64)) a) #s(literal -1/2 binary64) (.f64 (.f64 a a) #s(literal -1/8 binary64)))) eps (.f64 a #s(literal 1/12 binary64))) (*.f64 eps eps) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))
(+ (* (pow eps 2) (- (+ (* 1/2 a) (* eps (- (+ (* 1/6 (pow a 2)) (* eps (- (* 1/24 (pow a 3)) (+ (* 1/120 (pow a 3)) (+ (* 1/48 (pow a 3)) (+ (* 1/6 (* (pow a 2) (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a))))) (* 1/2 (* a (- (* 1/6 (pow a 2)) (+ (* 1/24 (pow a 2)) (+ (* 1/12 (pow a 2)) (* 1/2 (* a (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))))))))))))))) (+ (* 1/24 (pow a 2)) (+ (* 1/12 (pow a 2)) (* 1/2 (* a (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))))))))) (+ (* 1/6 a) (* 1/4 a)))) (+ (/ 1 a) (/ 1 b)))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/30 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/12 binary64)) #s(literal 1/6 binary64) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) a (fma.f64 (.f64 (.f64 a #s(literal 1/12 binary64)) a) #s(literal -1/2 binary64) (.f64 (.f64 a a) #s(literal -1/8 binary64)))) a) #s(literal 1/2 binary64)))) eps (fma.f64 (.f64 #s(literal 1/6 binary64) a) a (fma.f64 (.f64 (.f64 a #s(literal 1/12 binary64)) a) #s(literal -1/2 binary64) (.f64 (.f64 a a) #s(literal -1/8 binary64))))) eps (.f64 a #s(literal 1/12 binary64))) (.f64 eps eps) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))
(+ 1 (/ b a))
(+.f64 (/.f64 b a) #s(literal 1 binary64))
(+ 1 (+ (* b (* (pow eps 2) (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a))))) (/ b a)))
(fma.f64 (.f64 (.f64 (*.f64 a #s(literal 1/12 binary64)) b) eps) eps (+.f64 (/.f64 b a) #s(literal 1 binary64)))
(+ 1 (+ (* (pow eps 2) (+ (* b (* eps (- (* 1/6 (pow a 2)) (+ (* 1/24 (pow a 2)) (+ (* 1/12 (pow a 2)) (* 1/2 (* a (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))))))))) (* b (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))))) (/ b a)))
(fma.f64 (.f64 (.f64 eps eps) b) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) a (fma.f64 (.f64 (.f64 a #s(literal 1/12 binary64)) a) #s(literal -1/2 binary64) (.f64 (.f64 a a) #s(literal -1/8 binary64)))) eps (.f64 a #s(literal 1/12 binary64))) (+.f64 (/.f64 b a) #s(literal 1 binary64)))
(+ 1 (+ (* (pow eps 2) (+ (* b (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))) (* eps (+ (* b (* eps (- (* 1/24 (pow a 3)) (+ (* 1/120 (pow a 3)) (+ (* 1/48 (pow a 3)) (+ (* 1/6 (* (pow a 2) (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a))))) (* 1/2 (* a (- (* 1/6 (pow a 2)) (+ (* 1/24 (pow a 2)) (+ (* 1/12 (pow a 2)) (* 1/2 (* a (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))))))))))))))) (* b (- (* 1/6 (pow a 2)) (+ (* 1/24 (pow a 2)) (+ (* 1/12 (pow a 2)) (* 1/2 (* a (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a))))))))))))) (/ b a)))
(fma.f64 (fma.f64 (.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/30 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/12 binary64)) #s(literal 1/6 binary64) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) a (fma.f64 (.f64 (.f64 a #s(literal 1/12 binary64)) a) #s(literal -1/2 binary64) (.f64 (.f64 a a) #s(literal -1/8 binary64)))) a) #s(literal 1/2 binary64)))) eps (fma.f64 (.f64 #s(literal 1/6 binary64) a) a (fma.f64 (.f64 (.f64 a #s(literal 1/12 binary64)) a) #s(literal -1/2 binary64) (.f64 (.f64 a a) #s(literal -1/8 binary64))))) b) eps (.f64 (.f64 a #s(literal 1/12 binary64)) b)) (.f64 eps eps) (+.f64 (/.f64 b a) #s(literal 1 binary64)))
(+ (* (pow eps 2) (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))) (/ 1 a))
(fma.f64 (.f64 (.f64 a #s(literal 1/12 binary64)) eps) eps (/.f64 #s(literal 1 binary64) a))
(+ (* (pow eps 2) (- (+ (* 1/2 a) (* eps (- (* 1/6 (pow a 2)) (+ (* 1/24 (pow a 2)) (+ (* 1/12 (pow a 2)) (* 1/2 (* a (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))))))))) (+ (* 1/6 a) (* 1/4 a)))) (/ 1 a))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) a (fma.f64 (.f64 (.f64 a #s(literal 1/12 binary64)) a) #s(literal -1/2 binary64) (.f64 (.f64 a a) #s(literal -1/8 binary64)))) eps (.f64 a #s(literal 1/12 binary64))) (*.f64 eps eps) (/.f64 #s(literal 1 binary64) a))
(+ (* (pow eps 2) (- (+ (* 1/2 a) (* eps (- (+ (* 1/6 (pow a 2)) (* eps (- (* 1/24 (pow a 3)) (+ (* 1/120 (pow a 3)) (+ (* 1/48 (pow a 3)) (+ (* 1/6 (* (pow a 2) (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a))))) (* 1/2 (* a (- (* 1/6 (pow a 2)) (+ (* 1/24 (pow a 2)) (+ (* 1/12 (pow a 2)) (* 1/2 (* a (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))))))))))))))) (+ (* 1/24 (pow a 2)) (+ (* 1/12 (pow a 2)) (* 1/2 (* a (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))))))))) (+ (* 1/6 a) (* 1/4 a)))) (/ 1 a))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/30 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/12 binary64)) #s(literal 1/6 binary64) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) a (fma.f64 (.f64 (.f64 a #s(literal 1/12 binary64)) a) #s(literal -1/2 binary64) (.f64 (.f64 a a) #s(literal -1/8 binary64)))) a) #s(literal 1/2 binary64)))) eps (fma.f64 (.f64 #s(literal 1/6 binary64) a) a (fma.f64 (.f64 (.f64 a #s(literal 1/12 binary64)) a) #s(literal -1/2 binary64) (.f64 (.f64 a a) #s(literal -1/8 binary64))))) eps (.f64 a #s(literal 1/12 binary64))) (.f64 eps eps) (/.f64 #s(literal 1 binary64) a))
(/ (+ (* 1/2 eps) (/ 1 a)) eps)
(/.f64 (fma.f64 #s(literal 1/2 binary64) eps (/.f64 #s(literal 1 binary64) a)) eps)
(/ (+ (* eps (+ 1/2 (* eps (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))))) (/ 1 a)) eps)
(/.f64 (fma.f64 (fma.f64 (*.f64 a #s(literal 1/12 binary64)) eps #s(literal 1/2 binary64)) eps (/.f64 #s(literal 1 binary64) a)) eps)
(/ (+ (* eps (+ 1/2 (* eps (- (+ (* 1/2 a) (* eps (- (* 1/6 (pow a 2)) (+ (* 1/24 (pow a 2)) (+ (* 1/12 (pow a 2)) (* 1/2 (* a (- (* 1/2 a) (+ (* 1/6 a) (* 1/4 a)))))))))) (+ (* 1/6 a) (* 1/4 a)))))) (/ 1 a)) eps)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) a (fma.f64 (.f64 (.f64 a #s(literal 1/12 binary64)) a) #s(literal -1/2 binary64) (.f64 (.f64 a a) #s(literal -1/8 binary64)))) eps (.f64 a #s(literal 1/12 binary64))) eps #s(literal 1/2 binary64)) eps (/.f64 #s(literal 1 binary64) a)) eps)
(* eps (- (+ (/ 1 (* b eps)) (/ (exp (* a eps)) (- (exp (* a eps)) 1))) 1/2))
(.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (.f64 a eps))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) eps) b) #s(literal 1/2 binary64))) eps)
(* eps (+ (* b (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) (/ 1 eps)))
(fma.f64 (.f64 (-.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64)) eps) b #s(literal 1 binary64))
(* -1 (* eps (- (* -1 (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2)) (/ 1 (* b eps)))))
(.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (.f64 a eps))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) eps) b) #s(literal 1/2 binary64))) eps)
(* -1 (* eps (- (* -1 (* b (- (/ (exp (* a eps)) (- (exp (* a eps)) 1)) 1/2))) (/ 1 eps))))
(fma.f64 (.f64 (-.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64)) eps) b #s(literal 1 binary64))

rewrite179.0ms (0.7%)

Memory

-14.2MiB live, 177.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	356
0	88	334
1	386	334
2	3605	332
0	8544	310

Stop Event

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

Counts

19 → 485

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

Outputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) a) b))
(*.f64 (pow.f64 (/.f64 a (neg.f64 (+.f64 b a))) #s(literal -1 binary64)) (pow.f64 (neg.f64 b) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 (+.f64 b a) b) #s(literal 1 binary64)) (pow.f64 a #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 b #s(literal -2 binary64)) (pow.f64 a #s(literal -2 binary64))) (pow.f64 (/.f64 (-.f64 a b) (.f64 b a)) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 (.f64 b a) #s(literal -1 binary64))) (pow.f64 b #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (+.f64 b a)) b) (pow.f64 (neg.f64 a) #s(literal -1 binary64)))
(*.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 (*.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 (-.f64 (pow.f64 b #s(literal -2 binary64)) (pow.f64 a #s(literal -2 binary64)))) (neg.f64 (/.f64 (-.f64 a b) (*.f64 b a))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 (*.f64 b a) #s(literal -1 binary64))) (pow.f64 b #s(literal -2 binary64)))))
(/.f64 (.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 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 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) 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) (/.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))
(neg.f64 (/.f64 (/.f64 (+.f64 b a) b) (neg.f64 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) (pow.f64 (neg.f64 a) #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 b) #s(literal -1 binary64)) (pow.f64 a #s(literal -1 binary64)))
(fma.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 1 binary64) (pow.f64 a #s(literal -1 binary64)))
(fma.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal 1 binary64) (pow.f64 b #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 b #s(literal -1 binary64)) (pow.f64 a #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 a #s(literal -2 binary64)) (-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64)))) (/.f64 (pow.f64 b #s(literal -2 binary64)) (-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64)))))
(-.f64 (/.f64 (.f64 b b) (.f64 (.f64 b a) (-.f64 b a))) (/.f64 (.f64 a a) (.f64 (.f64 b a) (-.f64 b a))))
(-.f64 (/.f64 (.f64 a a) (.f64 (.f64 b a) (-.f64 a b))) (/.f64 (.f64 b b) (.f64 (.f64 b a) (-.f64 a b))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 b a))) (/.f64 (+.f64 b a) (neg.f64 (.f64 b a))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 a (neg.f64 b))) (/.f64 (+.f64 b a) (.f64 a (neg.f64 b))))
(-.f64 (/.f64 (/.f64 (.f64 b b) (-.f64 b a)) (.f64 b a)) (/.f64 (/.f64 (.f64 a a) (-.f64 b a)) (.f64 b a)))
(-.f64 (/.f64 (/.f64 (.f64 a a) (-.f64 a b)) (.f64 b a)) (/.f64 (/.f64 (.f64 b b) (-.f64 a b)) (.f64 b a)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 b)) (/.f64 (/.f64 (+.f64 b a) a) (neg.f64 b)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (/.f64 (/.f64 (+.f64 b a) b) (neg.f64 a)))
(-.f64 (/.f64 (pow.f64 b #s(literal -2 binary64)) (/.f64 (-.f64 a b) (.f64 b a))) (/.f64 (pow.f64 a #s(literal -2 binary64)) (/.f64 (-.f64 a b) (.f64 b a))))
(+.f64 (pow.f64 b #s(literal -1 binary64)) (pow.f64 a #s(literal -1 binary64)))
(+.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 a (+.f64 b a)) b)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 b (.f64 (+.f64 b a) (-.f64 b a))) #s(literal -1 binary64)) (pow.f64 (-.f64 b a) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 b (fma.f64 a a (.f64 (neg.f64 b) b))) #s(literal -1 binary64)) (pow.f64 (-.f64 a b) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 b (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 b (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 b (-.f64 b a) (.f64 a a)) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 b a) #s(literal 1 binary64)) (pow.f64 b #s(literal -1 binary64)))
(*.f64 (neg.f64 (+.f64 b a)) (pow.f64 (neg.f64 b) #s(literal -1 binary64)))
(*.f64 (pow.f64 b #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 b #s(literal -1 binary64)) (+.f64 b a))
(*.f64 (+.f64 b a) (pow.f64 b #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 b a) b))
(pow.f64 (/.f64 (/.f64 b (+.f64 b a)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 b (+.f64 b a)) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 (+.f64 b a) (-.f64 b a)) (pow.f64 b #s(literal -1 binary64))) (-.f64 b a))
(/.f64 (.f64 (fma.f64 a a (.f64 (neg.f64 b) b)) (pow.f64 b #s(literal -1 binary64))) (-.f64 a b))
(/.f64 (.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal -1 binary64))) (fma.f64 a (-.f64 a b) (.f64 b b)))
(/.f64 (.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal -1 binary64))) (fma.f64 b (-.f64 b a) (.f64 a a)))
(/.f64 (neg.f64 (neg.f64 (+.f64 b a))) (neg.f64 (neg.f64 b)))
(/.f64 (.f64 (.f64 (+.f64 b a) (-.f64 b a)) #s(literal -1 binary64)) (*.f64 (-.f64 b a) (neg.f64 b)))
(/.f64 (.f64 (.f64 (+.f64 b a) (-.f64 b a)) #s(literal 1 binary64)) (*.f64 (-.f64 b a) b))
(/.f64 (.f64 (fma.f64 a a (.f64 (neg.f64 b) b)) #s(literal -1 binary64)) (*.f64 (-.f64 a b) (neg.f64 b)))
(/.f64 (.f64 (fma.f64 a a (.f64 (neg.f64 b) b)) #s(literal 1 binary64)) (*.f64 (-.f64 a b) b))
(/.f64 (.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (neg.f64 b)))
(/.f64 (.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) (neg.f64 b)))
(/.f64 (.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) b))
(/.f64 (.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) b))
(/.f64 (*.f64 (+.f64 b a) #s(literal -1 binary64)) (neg.f64 b))
(/.f64 (*.f64 (+.f64 b a) #s(literal 1 binary64)) b)
(/.f64 (.f64 (+.f64 b a) (-.f64 b a)) (.f64 b (-.f64 b a)))
(/.f64 (fma.f64 a a (.f64 (neg.f64 b) b)) (.f64 b (-.f64 a b)))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (.f64 b (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 b (fma.f64 b (-.f64 b a) (.f64 a a))))
(/.f64 (neg.f64 (+.f64 b a)) (neg.f64 b))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (+.f64 b a))))
(/.f64 (+.f64 b a) b)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (+.f64 b a)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 b (+.f64 b a)))
(neg.f64 (/.f64 (neg.f64 (+.f64 b a)) b))
(-.f64 (/.f64 (.f64 b b) (.f64 b (-.f64 b a))) (/.f64 (.f64 a a) (.f64 b (-.f64 b a))))
(-.f64 (/.f64 (.f64 a a) (.f64 b (-.f64 a b))) (/.f64 (.f64 b b) (.f64 b (-.f64 a b))))
(-.f64 (/.f64 (/.f64 (.f64 b b) (-.f64 b a)) b) (/.f64 (/.f64 (.f64 a a) (-.f64 b a)) b))
(-.f64 (/.f64 (/.f64 (.f64 a a) (-.f64 a b)) b) (/.f64 (/.f64 (.f64 b b) (-.f64 a b)) b))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 b)) (/.f64 (neg.f64 (+.f64 b a)) b))
(exp.f64 (fma.f64 (log.f64 b) #s(literal -1 binary64) (log.f64 (+.f64 b a))))
(exp.f64 (+.f64 (log.f64 (+.f64 b a)) (neg.f64 (log.f64 b))))
(exp.f64 (*.f64 (log.f64 (/.f64 b (+.f64 b a))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 b a)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (+.f64 b a)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (+.f64 b a) (-.f64 b a)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 a a (.f64 (neg.f64 b) b)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 a b) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 b (-.f64 b a) (.f64 a a)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (+.f64 b a)))
(.f64 (.f64 (+.f64 b a) (-.f64 b a)) (pow.f64 (-.f64 b a) #s(literal -1 binary64)))
(.f64 (fma.f64 a a (.f64 (neg.f64 b) b)) (pow.f64 (-.f64 a b) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 (fma.f64 b (-.f64 b a) (.f64 a a)) #s(literal -1 binary64)))
(pow.f64 (sqrt.f64 (+.f64 b a)) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 a b) (fma.f64 a a (*.f64 (neg.f64 b) b))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (+.f64 b a) #s(literal 1 binary64))
(/.f64 (exp.f64 (log.f64 (*.f64 (+.f64 b a) (-.f64 b a)))) (exp.f64 (log.f64 (-.f64 b a))))
(/.f64 (exp.f64 (log.f64 (fma.f64 a a (*.f64 (neg.f64 b) b)))) (exp.f64 (log.f64 (-.f64 a b))))
(/.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (exp.f64 (log.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)))))
(/.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (exp.f64 (log.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)))))
(/.f64 (neg.f64 (*.f64 (+.f64 b a) (-.f64 b a))) (neg.f64 (-.f64 b a)))
(/.f64 (neg.f64 (fma.f64 a a (*.f64 (neg.f64 b) b))) (neg.f64 (-.f64 a b)))
(/.f64 (neg.f64 (+.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 (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 (*.f64 (+.f64 b a) (-.f64 b a)) (-.f64 b a))
(/.f64 (fma.f64 a a (*.f64 (neg.f64 b) b)) (-.f64 a b))
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(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 b a)) (+.f64 b a)) (.f64 b b))
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(.f64 (.f64 b a) (+.f64 b a))
(.f64 (+.f64 b a) (.f64 b a))
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(.f64 b (.f64 a (+.f64 b a)))
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(.f64 a (.f64 b (+.f64 b a)))
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(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64)) eps) b))) (/.f64 (pow.f64 (.f64 (.f64 (-.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64)) eps) b) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps))) #s(literal 1/2 binary64)) eps) b))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (-.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64)) eps) b) #s(literal 2 binary64)) (fma.f64 (.f64 (-.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64)) eps) b #s(literal -1 binary64))) (pow.f64 (fma.f64 (.f64 (-.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps))) #s(literal 1/2 binary64)) eps) b #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 (-.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps))) #s(literal 1/2 binary64)) eps) b) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps))) #s(literal 1/2 binary64)) eps) b))
(.f64 (-.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (.f64 a eps))) #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 (.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 eps) (neg.f64 a))) #s(literal -2 binary64)) #s(literal 1/4 binary64)) eps) (+.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 eps) (neg.f64 a))) #s(literal -3 binary64)) #s(literal 1/8 binary64)) eps) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 eps) (neg.f64 a)))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 eps) (neg.f64 a))) #s(literal -2 binary64))))
(/.f64 (.f64 eps (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 eps) (neg.f64 a))) #s(literal -2 binary64)) #s(literal 1/4 binary64))) (+.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64)))
(/.f64 (*.f64 eps (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 eps) (neg.f64 a))) #s(literal -3 binary64)) #s(literal 1/8 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 eps) (neg.f64 a)))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 eps) (neg.f64 a))) #s(literal -2 binary64))))
(fma.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (.f64 a eps))) eps (.f64 #s(literal -1/2 binary64) eps))
(fma.f64 eps (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (.f64 a eps))) (.f64 eps #s(literal -1/2 binary64)))
(+.f64 (.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (.f64 a eps))) eps) (*.f64 #s(literal -1/2 binary64) eps))
(+.f64 (.f64 eps (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (.f64 a eps)))) (*.f64 eps #s(literal -1/2 binary64)))
(.f64 (.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 a #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64))) (pow.f64 (neg.f64 a) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) (pow.f64 a #s(literal -1 binary64)))
(*.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 b a) #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.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 (*.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 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) (/.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)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (/.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 (*.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 (/.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 (/.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) (*.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) (*.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 (pow.f64 (exp.f64 a) eps) (expm1.f64 (.f64 eps (*.f64 #s(literal 2 binary64) a)))) (+.f64 (pow.f64 (exp.f64 a) eps) #s(literal 1 binary64)))
(.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (.f64 eps (*.f64 a #s(literal 3 binary64))))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) eps)))
(.f64 (pow.f64 (pow.f64 (exp.f64 a) eps) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 a) eps) #s(literal 1/2 binary64)) (expm1.f64 (.f64 a eps))))
(.f64 (pow.f64 (pow.f64 (exp.f64 a) eps) #s(literal 1/2 binary64)) (.f64 (pow.f64 (pow.f64 (exp.f64 a) eps) #s(literal 1/2 binary64)) (pow.f64 (expm1.f64 (*.f64 a eps)) #s(literal -1 binary64))))
(.f64 (pow.f64 (expm1.f64 (.f64 a eps)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (exp.f64 eps) (neg.f64 a)) #s(literal -1 binary64)))
(.f64 (pow.f64 (expm1.f64 (.f64 a eps)) #s(literal -1 binary64)) (pow.f64 (exp.f64 a) eps))
(.f64 (neg.f64 (pow.f64 (exp.f64 a) eps)) (pow.f64 (neg.f64 (expm1.f64 (.f64 a eps))) #s(literal -1 binary64)))
(.f64 (pow.f64 (exp.f64 a) eps) (pow.f64 (expm1.f64 (.f64 a eps)) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (.f64 a eps))))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 eps) (neg.f64 a))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 eps) (neg.f64 a))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (exp.f64 a) eps))) (neg.f64 (neg.f64 (expm1.f64 (*.f64 a eps)))))
(/.f64 (neg.f64 (pow.f64 (exp.f64 a) eps)) (neg.f64 (expm1.f64 (*.f64 a eps))))
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 eps) (neg.f64 a)))))
(/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 eps) (neg.f64 a))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 eps) (neg.f64 a))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (exp.f64 a) eps)) (expm1.f64 (*.f64 a eps))))
(neg.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (neg.f64 (expm1.f64 (*.f64 a eps)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (expm1.f64 (.f64 a eps)))) (/.f64 (pow.f64 (exp.f64 a) eps) (neg.f64 (expm1.f64 (.f64 a eps)))))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 eps) (neg.f64 a)))) #s(literal -1 binary64)))

eval133.0ms (0.5%)

Memory: 4.2MiB live, 160.1MiB allocated
Compiler: Compiled 43 201 to 3 398 computations (92.1% saved)

prune18.0ms (0.1%)

Memory

-6.1MiB live, 43.1MiB allocated

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	689	4	693
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	692	7	699

Accuracy

100.0%

Counts

699 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	26.0%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (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))))
✓	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))
▶	60.3%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
▶	60.5%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) (+.f64 b a))))
✓	47.6%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
✓	51.6%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
▶	99.9%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))

Compiler

Compiled 229 to 154 computations (32.8% saved)

simplify155.0ms (0.6%)

Memory

25.9MiB live, 213.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 b #s(literal -1 binary64))
cost-diff	0	(pow.f64 a #s(literal -1/2 binary64))
cost-diff	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (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))))
cost-diff	18176	(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)))
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 b a)
cost-diff	0	(/.f64 (*.f64 b a) (+.f64 b a))
cost-diff	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) (+.f64 b a))))
cost-diff	320	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) (+.f64 b a)))
cost-diff	-5760	(/.f64 #s(literal 1 binary64) b)
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))))
cost-diff	11520	(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	232
0	50	228
1	90	228
2	163	222
3	275	222
4	567	222
5	1389	222
6	4285	222
7	7065	222
0	8057	198

Stop Event

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

Calls

Call 1

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

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

localize74.0ms (0.3%)

Memory

1.7MiB live, 123.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 b #s(literal -1 binary64))
accuracy	0.0	(pow.f64 a #s(literal -1/2 binary64))
accuracy	0.0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (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))))
accuracy	0.11394501953688403	(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)))
accuracy	0.0	(+.f64 b a)
accuracy	0.0	(*.f64 b a)
accuracy	0.0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
accuracy	8.777137303920764	(/.f64 (+.f64 b a) (*.f64 b a))
accuracy	0.0	(*.f64 b a)
accuracy	0.0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) (+.f64 b a))))
accuracy	0.0078125	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) (+.f64 b a)))
accuracy	8.746752189092648	(/.f64 (*.f64 b a) (+.f64 b a))
accuracy	0.0	(/.f64 #s(literal 1 binary64) a)
accuracy	0.0	#s(approx (/ (/ (+ b a) b) a) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))
accuracy	0.0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))
accuracy	0.01171875	(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))

Samples

38.0ms	189×	0	invalid
15.0ms	67×	0	valid

Compiler

Compiled 414 to 71 computations (82.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-div: 13.0ms (34% of total)

ival-mult: 11.0ms (28.7% of total)

ival-add: 5.0ms (13.1% of total)

ival-pow: 5.0ms (13.1% of total)

ival-expm1: 4.0ms (10.5% of total)

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

exact: 0.0ms (0% of total)

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

series49.0ms (0.2%)

Memory

-15.6MiB live, 22.5MiB allocated

Counts

16 → 45

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
33.0ms	b	@	inf	((+ (/ 1 b) (/ 1 a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ 1 b) (/ 1 (/ (* b a) (+ b a))) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (* 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)) (+ (* (pow a -1/2) (pow a -1/2)) (pow b -1)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (pow a -1/2) (pow b -1) (/ 1 a))
3.0ms	a	@	-inf	((+ (/ 1 b) (/ 1 a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ 1 b) (/ 1 (/ (* b a) (+ b a))) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (* 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)) (+ (* (pow a -1/2) (pow a -1/2)) (pow b -1)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (pow a -1/2) (pow b -1) (/ 1 a))
2.0ms	b	@	-inf	((+ (/ 1 b) (/ 1 a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ 1 b) (/ 1 (/ (* b a) (+ b a))) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (* 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)) (+ (* (pow a -1/2) (pow a -1/2)) (pow b -1)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (pow a -1/2) (pow b -1) (/ 1 a))
2.0ms	a	@	inf	((+ (/ 1 b) (/ 1 a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ 1 b) (/ 1 (/ (* b a) (+ b a))) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (* 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)) (+ (* (pow a -1/2) (pow a -1/2)) (pow b -1)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (pow a -1/2) (pow b -1) (/ 1 a))
2.0ms	a	@	0	((+ (/ 1 b) (/ 1 a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ 1 b) (/ 1 (/ (* b a) (+ b a))) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (* 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)) (+ (* (pow a -1/2) (pow a -1/2)) (pow b -1)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (pow a -1/2) (pow b -1) (/ 1 a))

simplify268.0ms (1%)

Memory

24.8MiB live, 145.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	307	1565
1	885	1508
2	2734	1415
0	8204	1287

Stop Event

1×	iter limit
1×	node limit

Counts

45 → 43

Calls

Call 1

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

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

rewrite207.0ms (0.8%)

Memory

10.4MiB live, 164.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	214
0	50	204
1	221	204
2	1870	204
0	8084	180

Stop Event

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

Counts

16 → 1 700

Calls

Call 1

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

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

eval181.0ms (0.7%)

Memory: -18.6MiB live, 135.7MiB allocated
Compiler: Compiled 37 111 to 3 300 computations (91.1% saved)

prune18.0ms (0.1%)

Memory

3.9MiB live, 41.9MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	782	1	783
Fresh	0	0	0
Picked	1	3	4
Done	0	3	3
Total	783	7	790

Accuracy

100.0%

Counts

790 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) b) a))
✓	60.3%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
✓	60.5%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) (+.f64 b a))))
▶	99.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 a (+.f64 a b)) (/.f64 b (-.f64 b a))) (-.f64 b a))))
✓	47.6%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
✓	51.6%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
✓	99.9%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))

Compiler

Compiled 236 to 157 computations (33.5% saved)

simplify154.0ms (0.6%)

Memory

-3.1MiB live, 118.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (/.f64 a (+.f64 a b)) (/.f64 b (-.f64 b 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 (/.f64 a (+.f64 a b)) (/.f64 b (-.f64 b a))) (-.f64 b a))))
cost-diff	320	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 a (+.f64 a b)) (/.f64 b (-.f64 b a))) (-.f64 b a)))
cost-diff	1408	(.f64 (.f64 (/.f64 a (+.f64 a b)) (/.f64 b (-.f64 b a))) (-.f64 b a))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	104
0	32	104
1	70	104
2	177	104
3	458	78
4	1264	76
5	5387	76
0	8243	70

Stop Event

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

Calls

Call 1

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

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

localize71.0ms (0.3%)

Memory

7.7MiB live, 45.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.02734375	(/.f64 a (+.f64 a b))
accuracy	0.03515625	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 a (+.f64 a b)) (/.f64 b (-.f64 b a))) (-.f64 b a)))
accuracy	0.0546875	(*.f64 (/.f64 a (+.f64 a b)) (/.f64 b (-.f64 b a)))
accuracy	0.140625	(.f64 (.f64 (/.f64 a (+.f64 a b)) (/.f64 b (-.f64 b a))) (-.f64 b a))

Samples

61.0ms

256×

valid

Compiler

Compiled 192 to 48 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-div: 36.0ms (69.3% of total)

ival-mult: 10.0ms (19.2% of total)

ival-expm1: 4.0ms (7.7% of total)

ival-sub: 1.0ms (1.9% of total)

ival-add: 1.0ms (1.9% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated

Counts

5 → 73

Calls

Call 1

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

Outputs
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 a)
(/ (+ 1 (/ a b)) a)
(/ (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) a)
(/ (+ 1 (* a (- (+ (* a (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a)
(/ (+ 1 (* a (- (+ (* a (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (* a (- (* 1/6 (/ (* (pow eps 3) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a)
(/ a b)
(* a (+ (/ 1 b) (/ (pow a 2) (pow b 3))))
(* a (+ (* (pow a 2) (+ (/ 1 (pow b 3)) (/ (pow a 2) (pow b 5)))) (/ 1 b)))
(* a (+ (* (pow a 2) (+ (* (pow a 2) (+ (/ 1 (pow b 5)) (/ (pow a 2) (pow b 7)))) (/ 1 (pow b 3)))) (/ 1 b)))
(* a (+ (* -1 (/ a (pow b 2))) (/ 1 b)))
(* a (+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (/ 1 b)))
(* a (+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (/ 1 b)))
b
(+ b (* -1 (/ (pow b 2) a)))
(- (+ b (/ (pow b 3) (pow a 2))) (/ (pow b 2) a))
(- (+ b (* -1 (/ (pow b 4) (pow a 3)))) (+ (* -1 (/ (pow b 3) (pow a 2))) (/ (pow b 2) a)))
(/ 1 b)
(+ (/ 1 a) (/ 1 b))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(* -1 (/ b a))
(/ (+ (* -1 b) (* -1 (/ (* b (+ b (* -1 b))) a))) a)
(/ (- (+ (* -1 b) (* -1 (/ (+ (* b (pow (+ b (* -1 b)) 2)) (pow b 3)) (pow a 2)))) (/ (* b (+ b (* -1 b))) a)) a)
(/ (- (+ (* -1 b) (* -1 (/ (+ (* (+ b (* -1 b)) (+ (* b (pow (+ b (* -1 b)) 2)) (pow b 3))) (* (pow b 3) (+ b (* -1 b)))) (pow a 3)))) (+ (/ (* b (+ b (* -1 b))) a) (+ (/ (* b (pow (+ b (* -1 b)) 2)) (pow a 2)) (/ (pow b 3) (pow a 2))))) a)
1
(+ 1 (* -1 (/ b a)))
(- (+ 1 (/ (pow b 2) (pow a 2))) (/ b a))
(- (+ 1 (* -1 (/ (pow b 3) (pow a 3)))) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))
(+ 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)))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(* -1 (/ (+ b (* -1 (/ (* b (+ b (* -1 b))) a))) a))
(* -1 (/ (+ b (* -1 (/ (+ (* -1 (/ (+ (* b (pow (+ b (* -1 b)) 2)) (pow b 3)) a)) (* b (+ b (* -1 b)))) a))) a))
(* -1 (/ (+ b (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (+ b (* -1 b)) (+ (* b (pow (+ b (* -1 b)) 2)) (pow b 3))) (* (pow b 3) (+ b (* -1 b)))) a)) (+ (* b (pow (+ b (* -1 b)) 2)) (pow b 3))) a)) (* b (+ b (* -1 b)))) a))) a))
(+ 1 (* -1 (/ (- (* -1 (/ (pow b 2) a)) (* -1 b)) a)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow b 3) a)) (* -1 (pow b 2))) a)) (* -1 b)) a)))
(* 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)))))
(/ (+ 1 (/ b a)) b)
(/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b)
(/ (+ 1 (* b (- (+ (* b (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b)
(/ (+ 1 (* b (- (+ (* b (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (* b (- (* 1/6 (/ (* (pow eps 3) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b)
(* b (- (* -1 (/ (pow b 2) (pow a 3))) (/ 1 a)))
(* b (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 5))) (/ 1 (pow a 3)))) (/ 1 a)))
(* b (- (* (pow b 2) (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 7))) (/ 1 (pow a 5)))) (/ 1 (pow a 3)))) (/ 1 a)))
(+ 1 (* b (- (/ b (pow a 2)) (/ 1 a))))
(+ 1 (* b (- (* b (+ (* -1 (/ b (pow a 3))) (/ 1 (pow a 2)))) (/ 1 a))))
(+ 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)))
(/ (+ a (* -1 (/ (* a (+ a (* -1 a))) b))) b)
(/ (- (+ a (* -1 (/ (+ (* -1 (* a (pow (+ a (* -1 a)) 2))) (* -1 (pow a 3))) (pow b 2)))) (/ (* a (+ a (* -1 a))) b)) b)
(/ (- (+ a (* -1 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* a (pow (+ a (* -1 a)) 2))) (* -1 (pow a 3))))) (* (pow a 3) (+ a (* -1 a)))) (pow b 3)))) (+ (* -1 (/ (* a (pow (+ a (* -1 a)) 2)) (pow b 2))) (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (* a (+ a (* -1 a))) b)))) b)
(/ (+ a (* -1 (/ (pow a 2) b))) b)
(/ (- (+ a (/ (pow a 3) (pow b 2))) (/ (pow a 2) b)) b)
(/ (- (+ a (* -1 (/ (pow a 4) (pow b 3)))) (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (pow a 2) b))) b)
(+ 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)))
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(* -1 (/ (+ (* -1 a) (/ (* a (+ a (* -1 a))) b)) b))
(* -1 (/ (+ (* -1 a) (* -1 (/ (- (+ (/ (* a (pow (+ a (* -1 a)) 2)) b) (/ (pow a 3) b)) (* a (+ a (* -1 a)))) b))) b))
(* -1 (/ (+ (* -1 a) (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ a (* -1 a)) (+ (* a (pow (+ a (* -1 a)) 2)) (pow a 3))) b) (/ (* (pow a 3) (+ a (* -1 a))) b)) (+ (* a (pow (+ a (* -1 a)) 2)) (pow a 3))) b)) (* a (+ a (* -1 a)))) b))) b))
(* -1 (/ (+ (* -1 a) (/ (pow a 2) b)) b))
(* -1 (/ (+ (* -1 a) (* -1 (/ (- (/ (pow a 3) b) (pow a 2)) b))) b))
(* -1 (/ (+ (* -1 a) (* -1 (/ (- (* -1 (/ (- (/ (pow a 4) b) (pow a 3)) b)) (pow a 2)) b))) 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
3.0ms	a	@	0	((* (* (/ a (+ a b)) (/ b (- b a))) (- b a)) (/ 1 (* (* (/ a (+ a b)) (/ b (- b a))) (- b a))) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (* (/ a (+ a b)) (/ b (- b a))) (/ a (+ a b)))
2.0ms	a	@	inf	((* (* (/ a (+ a b)) (/ b (- b a))) (- b a)) (/ 1 (* (* (/ a (+ a b)) (/ b (- b a))) (- b a))) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (* (/ a (+ a b)) (/ b (- b a))) (/ a (+ a b)))
2.0ms	b	@	-inf	((* (* (/ a (+ a b)) (/ b (- b a))) (- b a)) (/ 1 (* (* (/ a (+ a b)) (/ b (- b a))) (- b a))) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (* (/ a (+ a b)) (/ b (- b a))) (/ a (+ a b)))
2.0ms	b	@	inf	((* (* (/ a (+ a b)) (/ b (- b a))) (- b a)) (/ 1 (* (* (/ a (+ a b)) (/ b (- b a))) (- b a))) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (* (/ a (+ a b)) (/ b (- b a))) (/ a (+ a b)))
2.0ms	a	@	-inf	((* (* (/ a (+ a b)) (/ b (- b a))) (- b a)) (/ 1 (* (* (/ a (+ a b)) (/ b (- b a))) (- b a))) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (* (/ a (+ a b)) (/ b (- b a))) (/ a (+ a b)))

simplify168.0ms (0.7%)

Memory

-16.6MiB live, 141.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	493	2203
1	1500	2011
2	5072	1918
0	8659	1767

Stop Event

1×	iter limit
1×	node limit

Counts

73 → 71

Calls

Call 1

Inputs
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 a)
(/ (+ 1 (/ a b)) a)
(/ (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) a)
(/ (+ 1 (* a (- (+ (* a (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a)
(/ (+ 1 (* a (- (+ (* a (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (* a (- (* 1/6 (/ (* (pow eps 3) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a)
(/ a b)
(* a (+ (/ 1 b) (/ (pow a 2) (pow b 3))))
(* a (+ (* (pow a 2) (+ (/ 1 (pow b 3)) (/ (pow a 2) (pow b 5)))) (/ 1 b)))
(* a (+ (* (pow a 2) (+ (* (pow a 2) (+ (/ 1 (pow b 5)) (/ (pow a 2) (pow b 7)))) (/ 1 (pow b 3)))) (/ 1 b)))
(* a (+ (* -1 (/ a (pow b 2))) (/ 1 b)))
(* a (+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (/ 1 b)))
(* a (+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (/ 1 b)))
b
(+ b (* -1 (/ (pow b 2) a)))
(- (+ b (/ (pow b 3) (pow a 2))) (/ (pow b 2) a))
(- (+ b (* -1 (/ (pow b 4) (pow a 3)))) (+ (* -1 (/ (pow b 3) (pow a 2))) (/ (pow b 2) a)))
(/ 1 b)
(+ (/ 1 a) (/ 1 b))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(* -1 (/ b a))
(/ (+ (* -1 b) (* -1 (/ (* b (+ b (* -1 b))) a))) a)
(/ (- (+ (* -1 b) (* -1 (/ (+ (* b (pow (+ b (* -1 b)) 2)) (pow b 3)) (pow a 2)))) (/ (* b (+ b (* -1 b))) a)) a)
(/ (- (+ (* -1 b) (* -1 (/ (+ (* (+ b (* -1 b)) (+ (* b (pow (+ b (* -1 b)) 2)) (pow b 3))) (* (pow b 3) (+ b (* -1 b)))) (pow a 3)))) (+ (/ (* b (+ b (* -1 b))) a) (+ (/ (* b (pow (+ b (* -1 b)) 2)) (pow a 2)) (/ (pow b 3) (pow a 2))))) a)
1
(+ 1 (* -1 (/ b a)))
(- (+ 1 (/ (pow b 2) (pow a 2))) (/ b a))
(- (+ 1 (* -1 (/ (pow b 3) (pow a 3)))) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))
(+ 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)))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(* -1 (/ (+ b (* -1 (/ (* b (+ b (* -1 b))) a))) a))
(* -1 (/ (+ b (* -1 (/ (+ (* -1 (/ (+ (* b (pow (+ b (* -1 b)) 2)) (pow b 3)) a)) (* b (+ b (* -1 b)))) a))) a))
(* -1 (/ (+ b (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (+ b (* -1 b)) (+ (* b (pow (+ b (* -1 b)) 2)) (pow b 3))) (* (pow b 3) (+ b (* -1 b)))) a)) (+ (* b (pow (+ b (* -1 b)) 2)) (pow b 3))) a)) (* b (+ b (* -1 b)))) a))) a))
(+ 1 (* -1 (/ (- (* -1 (/ (pow b 2) a)) (* -1 b)) a)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow b 3) a)) (* -1 (pow b 2))) a)) (* -1 b)) a)))
(* 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)))))
(/ (+ 1 (/ b a)) b)
(/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b)
(/ (+ 1 (* b (- (+ (* b (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b)
(/ (+ 1 (* b (- (+ (* b (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (* b (- (* 1/6 (/ (* (pow eps 3) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b)
(* b (- (* -1 (/ (pow b 2) (pow a 3))) (/ 1 a)))
(* b (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 5))) (/ 1 (pow a 3)))) (/ 1 a)))
(* b (- (* (pow b 2) (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 7))) (/ 1 (pow a 5)))) (/ 1 (pow a 3)))) (/ 1 a)))
(+ 1 (* b (- (/ b (pow a 2)) (/ 1 a))))
(+ 1 (* b (- (* b (+ (* -1 (/ b (pow a 3))) (/ 1 (pow a 2)))) (/ 1 a))))
(+ 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)))
(/ (+ a (* -1 (/ (* a (+ a (* -1 a))) b))) b)
(/ (- (+ a (* -1 (/ (+ (* -1 (* a (pow (+ a (* -1 a)) 2))) (* -1 (pow a 3))) (pow b 2)))) (/ (* a (+ a (* -1 a))) b)) b)
(/ (- (+ a (* -1 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* a (pow (+ a (* -1 a)) 2))) (* -1 (pow a 3))))) (* (pow a 3) (+ a (* -1 a)))) (pow b 3)))) (+ (* -1 (/ (* a (pow (+ a (* -1 a)) 2)) (pow b 2))) (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (* a (+ a (* -1 a))) b)))) b)
(/ (+ a (* -1 (/ (pow a 2) b))) b)
(/ (- (+ a (/ (pow a 3) (pow b 2))) (/ (pow a 2) b)) b)
(/ (- (+ a (* -1 (/ (pow a 4) (pow b 3)))) (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (pow a 2) b))) b)
(+ 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)))
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(* -1 (/ (+ (* -1 a) (/ (* a (+ a (* -1 a))) b)) b))
(* -1 (/ (+ (* -1 a) (* -1 (/ (- (+ (/ (* a (pow (+ a (* -1 a)) 2)) b) (/ (pow a 3) b)) (* a (+ a (* -1 a)))) b))) b))
(* -1 (/ (+ (* -1 a) (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ a (* -1 a)) (+ (* a (pow (+ a (* -1 a)) 2)) (pow a 3))) b) (/ (* (pow a 3) (+ a (* -1 a))) b)) (+ (* a (pow (+ a (* -1 a)) 2)) (pow a 3))) b)) (* a (+ a (* -1 a)))) b))) b))
(* -1 (/ (+ (* -1 a) (/ (pow a 2) b)) b))
(* -1 (/ (+ (* -1 a) (* -1 (/ (- (/ (pow a 3) b) (pow a 2)) b))) b))
(* -1 (/ (+ (* -1 a) (* -1 (/ (- (* -1 (/ (- (/ (pow a 4) b) (pow a 3)) b)) (pow a 2)) b))) 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
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 (/.f64 (/.f64 a b) b) (/.f64 #s(literal 1 binary64) b)) a #s(literal 1 binary64)) a)
(* a (+ 1 (* a (- (* a (+ (* -1 (/ a (pow b 3))) (/ 1 (pow b 2)))) (/ 1 b)))))
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) b) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) a (/.f64 #s(literal -1 binary64) b)) a #s(literal 1 binary64)) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ (+ 1 (/ a b)) a)
(/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a)
(/ (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) a)
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(fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64)) (/.f64 (+.f64 b a) (.f64 (.f64 (.f64 b a) a) b)) (fma.f64 (-.f64 (.f64 (/.f64 #s(literal 1/6 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 3 binary64)) a)) (fma.f64 (/.f64 (fma.f64 #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 a a)) (/.f64 (+.f64 b a) (.f64 b b)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64)) (/.f64 (+.f64 b a) (.f64 (.f64 (.f64 b a) a) b)) (.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 a))))) eps (.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a)))) eps (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (+ (* 1/6 (/ (pow (+ a b) 3) (* a b))) (* eps (- (* 1/24 (/ (pow (+ a b) 4) (* a b))) (+ (/ (* (+ a b) (+ (* 1/24 (* a (pow b 4))) (+ (* 1/24 (* (pow a 4) b)) (+ (* 1/12 (* (pow a 2) (pow b 3))) (* 1/12 (* (pow a 3) (pow b 2))))))) (* (pow a 2) (pow b 2))) (+ (/ (* (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2))))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b))))) (* a b))))))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (/.f64 #s(literal 1/24 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 4 binary64)) a)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 b #s(literal 4 binary64)) a (.f64 (pow.f64 a #s(literal 4 binary64)) b)) (.f64 (fma.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) b) b (.f64 (.f64 (pow.f64 b #s(literal 3 binary64)) a) a)) #s(literal 1/12 binary64))) (.f64 a a)) (/.f64 (+.f64 b a) (.f64 b b)) (fma.f64 (-.f64 (.f64 (/.f64 #s(literal 1/6 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 3 binary64)) a)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (pow.f64 b #s(literal 3 binary64)) a (.f64 (pow.f64 a #s(literal 3 binary64)) b)) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 b a) a) b))) (.f64 a a)) (/.f64 (+.f64 b a) (.f64 b b)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64)) (/.f64 (+.f64 b a) (.f64 (.f64 (.f64 b a) a) b)) (.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 a))))) (/.f64 (.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal 1/2 binary64)) (.f64 b a)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64)) (/.f64 (+.f64 b a) (.f64 (.f64 (.f64 b a) a) b)) (.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 a a)) (/.f64 (+.f64 b a) (.f64 b b)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64)) (/.f64 (+.f64 b a) (.f64 (.f64 (.f64 b a) a) b)) (.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 a)))))) eps (fma.f64 (.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64)) (/.f64 (+.f64 b a) (.f64 (.f64 (.f64 b a) a) b)) (.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a)))) eps (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))

rewrite138.0ms (0.5%)

Memory

-1.7MiB live, 154.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	90
0	32	90
1	151	86
2	1304	62
0	8599	56

Stop Event

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

Counts

5 → 400

Calls

Call 1

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

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

eval58.0ms (0.2%)

Memory: 15.4MiB live, 135.8MiB allocated
Compiler: Compiled 23 003 to 2 111 computations (90.8% saved)

prune12.0ms (0%)

Memory

-2.3MiB live, 35.7MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	448	1	449
Fresh	0	0	0
Picked	1	0	1
Done	0	6	6
Total	449	7	456

Accuracy

100.0%

Counts

456 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) b) a))
✓	60.3%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
	99.6%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (*.f64 (/.f64 (-.f64 b a) a) (/.f64 (+.f64 b a) b)) (-.f64 b a)))
✓	60.5%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) (+.f64 b a))))
✓	47.6%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
✓	51.6%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
✓	99.9%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))

Compiler

Compiled 699 to 256 computations (63.4% saved)

regimes19.0ms (0.1%)

Memory

15.6MiB live, 53.2MiB allocated

Counts

13 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

6.0ms	eps
4.0ms	b
4.0ms	a
3.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))

Results

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

Compiler

Compiled 27 to 26 computations (3.7% saved)

regimes199.0ms (0.8%)

Memory

-24.8MiB live, 14.4MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

Calls

4 calls:

194.0ms	b
2.0ms	a
2.0ms	eps
1.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
86.7%	3	`a`
83.0%	3	`b`
74.0%	2	`eps`
60.3%	1	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`

Compiler

Compiled 27 to 26 computations (3.7% saved)

regimes2.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
82.9%	2	`a`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes5.0ms (0%)

Memory

9.9MiB live, 9.9MiB 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	b
1.0ms	eps
1.0ms	a
1.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
51.6%	1	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`
51.6%	1	`eps`
51.6%	1	`b`
51.6%	1	`a`

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch66.0ms (0.3%)

Memory

-16.4MiB live, 65.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-5.616196613108054e-214	-4.181098889097346e-215
48.0ms	-2.2123179775024063e-104	-6.5022488563569915e-108

Samples

50.0ms

224×

valid

Compiler

Compiled 843 to 615 computations (27% saved)

Precisions

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

ival-div: 34.0ms (76% of total)

ival-mult: 6.0ms (13.4% of total)

ival-expm1: 3.0ms (6.7% of total)

ival-add: 1.0ms (2.2% of total)

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

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

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-5.616196613108054e-214	-4.181098889097346e-215

Compiler

Compiled 363 to 271 computations (25.3% saved)

simplify25.0ms (0.1%)

Memory

15.7MiB live, 53.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	224
1	43	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 a #s(literal -5453711742519551/165263992197562149737978827008192759957101170741070304821162198818601447809077836456297302609928821211897803006255839576064 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (.f64 b a))) (if (<=.f64 a #s(literal -6670976177854609/12129047596099288555851402253613301212944422008724192274523844047078523067862319424459987568973800608988185396071336509423215469094646987433158494336259227650034804500162889887111447543996862850197367181200909912116350366045437952 binary64)) #s(approx (/ ( eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))))
(if (<=.f64 a #s(literal -6670976177854609/12129047596099288555851402253613301212944422008724192274523844047078523067862319424459987568973800608988185396071336509423215469094646987433158494336259227650034804500162889887111447543996862850197367181200909912116350366045437952 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 a #s(literal -5453711742519551/165263992197562149737978827008192759957101170741070304821162198818601447809077836456297302609928821211897803006255839576064 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (.f64 b a))) (if (<=.f64 a #s(literal -6670976177854609/12129047596099288555851402253613301212944422008724192274523844047078523067862319424459987568973800608988185396071336509423215469094646987433158494336259227650034804500162889887111447543996862850197367181200909912116350366045437952 binary64)) #s(approx (/ ( eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))))
(if (<=.f64 a #s(literal -6670976177854609/12129047596099288555851402253613301212944422008724192274523844047078523067862319424459987568973800608988185396071336509423215469094646987433158494336259227650034804500162889887111447543996862850197367181200909912116350366045437952 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))

soundness466.0ms (1.8%)

Memory

-28.7MiB live, 338.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	356
0	88	334
1	386	334
2	3605	332
0	8544	310
0	370	2068
1	1205	2020
2	3798	2020
0	8068	1792
0	505	2993
1	1499	2602
2	4753	2587
0	8060	2320

Stop Event

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

Compiler

Compiled 285 to 99 computations (65.3% saved)

preprocess47.0ms (0.2%)

Memory: 30.3MiB live, 70.5MiB allocated
Remove: (sort a b)
Compiler: Compiled 670 to 228 computations (66% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze174.0ms (0.7%)

sample20.1s (78.6%)

explain648.0ms (2.5%)

preprocess252.0ms (1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify292.0ms (1.1%)

localize64.0ms (0.2%)

series55.0ms (0.2%)

simplify147.0ms (0.6%)

rewrite157.0ms (0.6%)

eval74.0ms (0.3%)

prune62.0ms (0.2%)

simplify170.0ms (0.7%)

localize362.0ms (1.4%)

series147.0ms (0.6%)

simplify142.0ms (0.6%)

rewrite179.0ms (0.7%)

eval133.0ms (0.5%)

prune18.0ms (0.1%)

simplify155.0ms (0.6%)

localize74.0ms (0.3%)

series49.0ms (0.2%)

simplify268.0ms (1%)

rewrite207.0ms (0.8%)

eval181.0ms (0.7%)

prune18.0ms (0.1%)

simplify154.0ms (0.6%)

localize71.0ms (0.3%)

series15.0ms (0.1%)

simplify168.0ms (0.7%)

rewrite138.0ms (0.5%)

eval58.0ms (0.2%)

prune12.0ms (0%)

regimes19.0ms (0.1%)

regimes199.0ms (0.8%)

regimes2.0ms (0%)

regimes5.0ms (0%)

bsearch66.0ms (0.3%)

bsearch1.0ms (0%)

simplify25.0ms (0.1%)

soundness466.0ms (1.8%)

preprocess47.0ms (0.2%)

end0.0ms (0%)

Profiling