Metrics for expax (section 3.5)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze51.0ms (0.9%)

Memory

6.7MiB live, 51.3MiB allocated; 10ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
62.5%	62.4%	37.5%	0.1%	0%	0%	0%	5
66.7%	62.4%	31.2%	0.1%	0%	6.2%	0%	6
75.9%	68.7%	21.9%	0.1%	0%	9.4%	0%	7
80%	68.7%	17.2%	0.1%	0%	14%	0%	8
86%	71.8%	11.7%	0.1%	0%	16.4%	0%	9
88.9%	71.8%	9%	0.1%	0%	19.1%	0%	10
92.4%	73.4%	6%	0.1%	0%	20.5%	0%	11
94.1%	73.4%	4.6%	0.1%	0%	22%	0%	12

Compiler

Compiled 12 to 7 computations (41.7% saved)

sample694.0ms (11.9%)

Memory

18.5MiB live, 708.9MiB allocated; 217ms collecting garbage

Samples

430.0ms	8 256×	0	valid
18.0ms	311×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 171.0ms

ival-mult: 85.0ms (49.8% of total)

ival-expm1: 53.0ms (31.1% of total)

ival->: 21.0ms (12.3% of total)

exact: 6.0ms (3.5% of total)

ival-assert: 3.0ms (1.8% of total)

adjust: 2.0ms (1.2% of total)

Bogosity

explain239.0ms (4.1%)

Memory

-18.0MiB live, 82.5MiB allocated; 21ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
139	1	(-1.6459781387289178e-169 -5.967671071651804e-155)	-	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
0	0	-	-	`a`
0	0	-	-	`(exp.f64 (*.f64 a x))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(*.f64 a x)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`	cancellation	140	0

Confusion

	Predicted +	Predicted -
+	139	0
-	1	116

Precision

0.9928571428571429

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	139	0	0
-	1	0	116

Precision?

0.9928571428571429

Recall?

1.0

Freqs

test

number	freq
0	116
1	140

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

88.0ms

512×

valid

Compiler

Compiled 42 to 22 computations (47.6% saved)

Precisions

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

ival-exp: 4.0ms (34.4% of total)

ival-mult: 4.0ms (34.4% of total)

ival-expm1: 3.0ms (25.8% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess261.0ms (4.5%)

Memory

45.5MiB live, 174.4MiB allocated; 20ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	36
1	39	36
2	73	36
3	193	36
4	778	36
5	6198	36
0	6	6
0	9	6
1	17	6
2	32	6
3	73	6
4	241	6
5	1878	6
6	5696	6
0	8242	4

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Outputs
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 x a))

Symmetry

(sort a x)

Compiler

Compiled 6 to 6 computations (0% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.8%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Compiler

Compiled 6 to 6 computations (0% saved)

simplify116.0ms (2%)

Memory

1.7MiB live, 151.4MiB allocated; 17ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	9	16
1	17	16
2	32	16
3	73	16
4	241	16
5	1878	16
6	5696	16
0	8242	14

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(exp.f64 (*.f64 a x))
(*.f64 a x)
a
x
#s(literal 1 binary64)

Outputs
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 x a))
(exp.f64 (*.f64 a x))
(pow.f64 (exp.f64 x) a)
(*.f64 a x)
(*.f64 x a)
a
x
#s(literal 1 binary64)

localize18.0ms (0.3%)

Memory

-19.7MiB live, 27.0MiB allocated; 2ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 a x)
accuracy	0.00390625	(exp.f64 (*.f64 a x))
accuracy	31.46823928042829	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Samples

13.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

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

ival-exp: 2.0ms (34.8% of total)

ival-mult: 2.0ms (34.8% of total)

ival-expm1: 2.0ms (34.8% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

3.1MiB live, 3.1MiB allocated; 0ms collecting garbage

Counts

3 → 15

Calls

Call 1

Inputs
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(exp.f64 (*.f64 a x))
(*.f64 a x)

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	((- (exp (* a x)) 1) (exp (* a x)) (* a x))
1.0ms	a	@	0	((- (exp (* a x)) 1) (exp (* a x)) (* a x))
1.0ms	x	@	-inf	((- (exp (* a x)) 1) (exp (* a x)) (* a x))
1.0ms	a	@	inf	((- (exp (* a x)) 1) (exp (* a x)) (* a x))
0.0ms	a	@	-inf	((- (exp (* a x)) 1) (exp (* a x)) (* a x))

simplify265.0ms (4.5%)

Memory

6.9MiB live, 149.3MiB allocated; 20ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	201
1	236	201
2	889	193
3	3196	193
4	5768	193
0	8321	168

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 15

Calls

Call 1

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

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

rewrite298.0ms (5.1%)

Memory

3.4MiB live, 156.0MiB allocated; 173ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
0	9	13
1	31	13
2	177	13
3	1792	13
0	8079	11

Stop Event

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

Counts

3 → 384

Calls

Call 1

Inputs
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(exp.f64 (*.f64 a x))
(*.f64 a x)

Outputs
(.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (*.f64 x a)))))) (/.f64 (-.f64 (neg.f64 (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (neg.f64 (expm1.f64 (.f64 (.f64 #s(literal 3 binary64) x) a))))) (/.f64 (-.f64 (neg.f64 (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 x a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)))))
(.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (expm1.f64 (.f64 (.f64 #s(literal 3 binary64) x) a)))) (/.f64 (-.f64 (neg.f64 (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 x a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 (neg.f64 (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))))
(.f64 (/.f64 (expm1.f64 (.f64 x a)) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x a)))))) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) (fma.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))))
(.f64 (/.f64 (expm1.f64 (.f64 x a)) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (neg.f64 (expm1.f64 (.f64 (.f64 #s(literal 3 binary64) x) a))))) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)))))
(.f64 (/.f64 (expm1.f64 (.f64 x a)) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (expm1.f64 (.f64 (.f64 #s(literal 3 binary64) x) a)))) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) (+.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (.f64 x a))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 x a)))) (/.f64 (expm1.f64 (.f64 (*.f64 #s(literal 3 binary64) x) a)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))))
(.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (expm1.f64 (.f64 #s(literal 2 binary64) (*.f64 x a))))) (/.f64 (-.f64 (neg.f64 (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))))
(.f64 (/.f64 (expm1.f64 (.f64 x a)) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x a))))) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))))
(.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))) (/.f64 (expm1.f64 (.f64 x a)) #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x a)))))) (/.f64 (.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x a))) (fma.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x a)))))) (/.f64 (expm1.f64 (.f64 x a)) (fma.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (neg.f64 (expm1.f64 (.f64 (.f64 #s(literal 3 binary64) x) a))))) (/.f64 (.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x a))) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 x a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (neg.f64 (expm1.f64 (.f64 (.f64 #s(literal 3 binary64) x) a))))) (/.f64 (expm1.f64 (.f64 x a)) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (expm1.f64 (.f64 (.f64 #s(literal 3 binary64) x) a)))) (/.f64 (.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x a))) (+.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 x a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (expm1.f64 (.f64 (.f64 #s(literal 3 binary64) x) a)))) (/.f64 (expm1.f64 (.f64 x a)) (+.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x a))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)) (/.f64 (expm1.f64 (.f64 x a)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))))
(.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 x a)) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 x a)) #s(literal 1 binary64))) (expm1.f64 (.f64 x a)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (.f64 x a))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (.f64 x a)))) (expm1.f64 (.f64 x a)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x a))))) (/.f64 (.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x a))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))))
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(/.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (cosh.f64 (.f64 x a)) (pow.f64 (exp.f64 x) a)) #s(literal 3 binary64)) (pow.f64 (.f64 (sinh.f64 (.f64 x a)) (pow.f64 (exp.f64 x) a)) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (.f64 (cosh.f64 (.f64 x a)) (pow.f64 (exp.f64 x) a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sinh.f64 (.f64 x a)) (pow.f64 (exp.f64 x) a)) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 (.f64 x a)) (pow.f64 (exp.f64 x) a)) (.f64 (sinh.f64 (*.f64 x a)) (pow.f64 (exp.f64 x) a)))))))
(/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64))))) (sqrt.f64 (.f64 (pow.f64 (exp.f64 x) (neg.f64 a)) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (*.f64 x a)))))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64))) #s(literal 1 binary64))) (sqrt.f64 (.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (*.f64 x a)))) (pow.f64 (exp.f64 x) (neg.f64 a)))))
(/.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64))))) (exp.f64 (log.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (*.f64 x a)))))))
(/.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64))) (-.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x a)) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a)))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a)) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (*.f64 x a)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)))) (neg.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (*.f64 x a))))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a)))))
(/.f64 (.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64))) #s(literal 1 binary64)) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a)))))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x a))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a))))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)))) (fabs.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (*.f64 x a)))))))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)))) (fabs.f64 (-.f64 (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a))) (cosh.f64 (.f64 #s(literal 2 binary64) (*.f64 x a))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (exp.f64 x) (neg.f64 a))))
(/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)) (sqrt.f64 (pow.f64 (exp.f64 x) (neg.f64 a))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (*.f64 x a))))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64))) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (*.f64 x a)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (exp.f64 x) (neg.f64 a)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) (neg.f64 a)))
(fma.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64) (.f64 (cosh.f64 (*.f64 x a)) #s(literal 1 binary64)))
(fma.f64 (cosh.f64 (.f64 x a)) #s(literal 1 binary64) (.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (sinh.f64 (.f64 x a)) (.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x a))))
(fma.f64 #s(literal 1 binary64) (cosh.f64 (.f64 x a)) (.f64 #s(literal 1 binary64) (sinh.f64 (*.f64 x a))))
(sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a)))
(-.f64 (/.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) (-.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a)))) (/.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (-.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a)))))
(-.f64 (/.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) (neg.f64 a))) (/.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) (neg.f64 a))))
(-.f64 (cosh.f64 (.f64 x a)) (sinh.f64 (.f64 (neg.f64 x) a)))
(fabs.f64 (-.f64 (/.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) (neg.f64 a))) (/.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) (neg.f64 a)))))
(fabs.f64 (neg.f64 (neg.f64 (pow.f64 (exp.f64 x) a))))
(fabs.f64 (neg.f64 (pow.f64 (exp.f64 x) a)))
(fabs.f64 (pow.f64 (exp.f64 x) a))
(+.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x a))) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a)))) #s(literal 4 binary64)))
(+.f64 (/.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a)))))) (/.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)) (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a)))))))
(+.f64 (/.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)) (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a)))))) (/.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a)))))))
(+.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a))) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x a)))) #s(literal 4 binary64)))
(+.f64 (.f64 (cosh.f64 (.f64 x a)) #s(literal 1 binary64)) (.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (sinh.f64 (.f64 x a))) (.f64 #s(literal 1 binary64) (cosh.f64 (.f64 x a))))
(+.f64 (.f64 #s(literal 1 binary64) (cosh.f64 (.f64 x a))) (.f64 #s(literal 1 binary64) (sinh.f64 (.f64 x a))))
(+.f64 (.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) (.f64 (cosh.f64 (.f64 x a)) #s(literal 1 binary64)))
(+.f64 (/.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a))))) (/.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a))))))
(+.f64 (/.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a))))) (/.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a))))))
(+.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a)))
(+.f64 (cosh.f64 (.f64 x a)) (sinh.f64 (.f64 x a)))
(exp.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 x a)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (/.f64 x #s(literal 2 binary64)) a) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) a) (/.f64 x #s(literal 2 binary64))))
(exp.f64 (.f64 a (.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))))
(exp.f64 (.f64 a (/.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 x a) #s(literal 1 binary64)))
(exp.f64 (*.f64 x a))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))) a)
(.f64 (/.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) a)
(.f64 (/.f64 x #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) a))
(.f64 #s(literal 2 binary64) (.f64 (/.f64 x #s(literal 2 binary64)) a))
(*.f64 x a)
(*.f64 a x)
(neg.f64 (*.f64 (neg.f64 x) a))
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))) a #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) a #s(literal 0 binary64))
(fma.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) a) #s(literal 0 binary64))
(fma.f64 (/.f64 x #s(literal 2 binary64)) a (log.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64))))
(fma.f64 (/.f64 x #s(literal 2 binary64)) a (*.f64 (/.f64 x #s(literal 2 binary64)) a))
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 x #s(literal 2 binary64)) a) #s(literal 0 binary64))
(fma.f64 x a #s(literal 0 binary64))
(fma.f64 a (/.f64 x #s(literal 2 binary64)) (log.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64))))
(fma.f64 a (/.f64 x #s(literal 2 binary64)) (*.f64 (/.f64 x #s(literal 2 binary64)) a))
(fma.f64 a x #s(literal 0 binary64))
(-.f64 (log.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)))) (log.f64 (-.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a)))))
(-.f64 (log.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x a)) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a))))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a)) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a))))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64))))) (log.f64 (neg.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (*.f64 x a)))))))
(-.f64 (log.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x a))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a)))))) (log.f64 #s(literal 4 binary64)))
(-.f64 (log.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a)))))) (log.f64 #s(literal 4 binary64)))
(-.f64 (log.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64))))) (log.f64 (fabs.f64 (-.f64 (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a))) (cosh.f64 (.f64 #s(literal 2 binary64) (*.f64 x a)))))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (pow.f64 (exp.f64 x) (neg.f64 a)))))
(-.f64 (log.f64 (.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64))))) (log.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a))))))
(-.f64 (log.f64 (.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64))) #s(literal 1 binary64))) (log.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (*.f64 x a)))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)))) (log.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (*.f64 x a))))))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) a))
(+.f64 (log.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (exp.f64 x) a)))) (.f64 (/.f64 x #s(literal 2 binary64)) a))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64)))) (log.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64)))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)))) (log.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)))))
(+.f64 (.f64 (/.f64 x #s(literal 2 binary64)) a) (log.f64 (.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64))))
(+.f64 (.f64 (/.f64 x #s(literal 2 binary64)) a) (.f64 (/.f64 x #s(literal 2 binary64)) a))
(+.f64 #s(literal 0 binary64) (*.f64 x a))
(+.f64 (*.f64 x a) #s(literal 0 binary64))
(log.f64 (pow.f64 (exp.f64 x) a))

eval69.0ms (1.2%)

Memory: 7.1MiB live, 52.6MiB allocated; 4ms collecting garbage
Compiler: Compiled 12 018 to 1 184 computations (90.1% saved)

prune44.0ms (0.8%)

Memory

-19.4MiB live, 25.0MiB allocated; 5ms collecting garbage

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	387	8	395
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	388	8	396

Accuracy

100.0%

Counts

396 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.8%	(-.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a))) #s(literal 1 binary64))
▶	21.7%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
▶	22.7%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
▶	21.0%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	100.0%	(expm1.f64 (*.f64 x a))
	67.4%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x) a))
	66.2%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
	71.4%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 198 to 150 computations (24.2% saved)

simplify172.0ms (2.9%)

Memory

-31.9MiB live, 120.2MiB allocated; 15ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	143
0	39	143
1	67	143
2	134	143
3	351	143
4	1216	143
5	4379	143
6	7740	143
0	8315	143

Stop Event

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

Calls

Call 1

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

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

localize191.0ms (3.3%)

Memory

33.8MiB live, 175.5MiB allocated; 14ms collecting garbage

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x a)
accuracy	0.0	(exp.f64 #s(literal 2 binary64))
accuracy	0.00390625	(sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a)))
accuracy	31.46823928042829	(-.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a))) #s(literal 1 binary64))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) a)
accuracy	0.07259750976844202	(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64))
accuracy	18.45244961836582	#s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64)))
accuracy	31.46823928042829	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	0.0	(fma.f64 x a #s(literal 1 binary64))
accuracy	18.53222383574346	#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))
accuracy	31.46823928042829	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	18.688339890096895	#s(approx (exp (* a x)) #s(literal 1 binary64))
accuracy	31.46823928042829	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	0.0	(*.f64 x a)
accuracy	0.0078125	(expm1.f64 (*.f64 x a))

Samples

112.0ms	87×	2	valid
38.0ms	92×	1	valid
24.0ms	77×	0	valid

Compiler

Compiled 113 to 22 computations (80.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 142.0ms

ival-pow: 65.0ms (45.9% of total)

ival-mult: 23.0ms (16.2% of total)

adjust: 22.0ms (15.5% of total)

ival-exp: 14.0ms (9.9% of total)

ival-add: 5.0ms (3.5% of total)

ival-expm1: 5.0ms (3.5% of total)

ival-sqrt: 4.0ms (2.8% of total)

ival-sub: 3.0ms (2.1% of total)

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

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

exact: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory

-28.2MiB live, 17.7MiB allocated; 5ms collecting garbage

Counts

16 → 51

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((- (exp (* x a)) 1) (* x a) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (+ (* (* 1/2 a) x) 1) (- (sqrt (pow (exp 2) (* x a))) 1) (sqrt (pow (exp 2) (* x a))) (pow (exp 2) (* x a)) (exp 2) (* 1/2 a))
3.0ms	a	@	0	((- (exp (* x a)) 1) (* x a) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (+ (* (* 1/2 a) x) 1) (- (sqrt (pow (exp 2) (* x a))) 1) (sqrt (pow (exp 2) (* x a))) (pow (exp 2) (* x a)) (exp 2) (* 1/2 a))
2.0ms	x	@	0	((- (exp (* x a)) 1) (* x a) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (+ (* (* 1/2 a) x) 1) (- (sqrt (pow (exp 2) (* x a))) 1) (sqrt (pow (exp 2) (* x a))) (pow (exp 2) (* x a)) (exp 2) (* 1/2 a))
2.0ms	a	@	-inf	((- (exp (* x a)) 1) (* x a) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (+ (* (* 1/2 a) x) 1) (- (sqrt (pow (exp 2) (* x a))) 1) (sqrt (pow (exp 2) (* x a))) (pow (exp 2) (* x a)) (exp 2) (* 1/2 a))
1.0ms	a	@	inf	((- (exp (* x a)) 1) (* x a) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (+ (* (* 1/2 a) x) 1) (- (sqrt (pow (exp 2) (* x a))) 1) (sqrt (pow (exp 2) (* x a))) (pow (exp 2) (* x a)) (exp 2) (* 1/2 a))

simplify150.0ms (2.6%)

Memory

30.3MiB live, 167.8MiB allocated; 21ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	215	870
1	792	870
2	3000	770
0	8362	674

Stop Event

1×	iter limit
1×	node limit

Counts

51 → 51

Calls

Call 1

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

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

rewrite270.0ms (4.6%)

Memory

-1.7MiB live, 271.6MiB allocated; 63ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	123
0	39	118
1	165	118
2	1177	115
0	8465	115

Stop Event

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

Counts

16 → 435

Calls

Call 1

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

Outputs
(.f64 (+.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)) (expm1.f64 (.f64 (*.f64 #s(literal 1/2 binary64) a) x)))
(.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))) (/.f64 (expm1.f64 (.f64 a x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (exp.f64 a) (.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x))) (/.f64 (pow.f64 (exp.f64 a) (.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x)))) (.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x))) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))) (/.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))) (.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 (.f64 a x)) #s(literal 2 binary64)) (.f64 (-.f64 (sinh.f64 (.f64 a x)) #s(literal 1 binary64)) (-.f64 (sinh.f64 (.f64 a x)) #s(literal 1 binary64)))) (-.f64 (cosh.f64 (.f64 a x)) (-.f64 (sinh.f64 (.f64 a x)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 a) (.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (exp.f64 a) (.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x))) (/.f64 (pow.f64 (exp.f64 a) (.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x))) (fma.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64)) (.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x))) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))) (/.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))) (fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 a x)) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 (.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (.f64 a x)) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 (sinh.f64 (.f64 a x)) #s(literal 1 binary64)) (-.f64 (sinh.f64 (.f64 a x)) #s(literal 1 binary64))) (.f64 (cosh.f64 (.f64 a x)) (-.f64 (sinh.f64 (*.f64 a x)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x)))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 a (+.f64 x x))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 a) (.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x))) (.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64))) (.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x)) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 a (+.f64 x x)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x))))
(/.f64 (expm1.f64 (*.f64 a (+.f64 x x))) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x)))
(expm1.f64 (.f64 (.f64 #s(literal 2 binary64) x) (/.f64 a #s(literal 2 binary64))))
(expm1.f64 (.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 1/2 binary64) a)))
(expm1.f64 (.f64 #s(literal 2 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) a) x)))
(expm1.f64 (*.f64 a x))
(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x))) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64)))
(-.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))
(+.f64 (cosh.f64 (.f64 a x)) (-.f64 (sinh.f64 (.f64 a x)) #s(literal 1 binary64)))
(.f64 (/.f64 a #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x))
(.f64 (.f64 a x) #s(literal 1 binary64))
(.f64 (.f64 a (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
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(pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) a))
(pow.f64 (exp.f64 x) (+.f64 a a))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) a)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 2 binary64) (/.f64 a #s(literal 2 binary64))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (fma.f64 #s(literal 1/2 binary64) a (/.f64 a #s(literal 2 binary64))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (+.f64 (/.f64 a #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) a)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (fma.f64 #s(literal 1/2 binary64) a (*.f64 #s(literal 1/2 binary64) a)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (+.f64 (/.f64 a #s(literal 2 binary64)) (/.f64 a #s(literal 2 binary64))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (*.f64 (/.f64 a #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (*.f64 a #s(literal 1 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) a)
(pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) a (.f64 a (/.f64 x #s(literal 2 binary64)))))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 a (/.f64 x #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) a) x)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) a (.f64 (*.f64 #s(literal 1/2 binary64) a) x)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) a) x)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 a x))
(/.f64 (-.f64 (.f64 (.f64 (cosh.f64 (.f64 a x)) (pow.f64 (exp.f64 a) x)) (.f64 (cosh.f64 (.f64 a x)) (pow.f64 (exp.f64 a) x))) (.f64 (.f64 (sinh.f64 (.f64 a x)) (pow.f64 (exp.f64 a) x)) (.f64 (sinh.f64 (.f64 a x)) (pow.f64 (exp.f64 a) x)))) (-.f64 (.f64 (cosh.f64 (.f64 a x)) (pow.f64 (exp.f64 a) x)) (.f64 (sinh.f64 (.f64 a x)) (pow.f64 (exp.f64 a) x))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (exp.f64 a) x) (cosh.f64 (.f64 a x))) (.f64 (pow.f64 (exp.f64 a) x) (cosh.f64 (.f64 a x)))) (.f64 (.f64 (pow.f64 (exp.f64 a) x) (sinh.f64 (.f64 a x))) (.f64 (pow.f64 (exp.f64 a) x) (sinh.f64 (.f64 a x))))) (-.f64 (.f64 (pow.f64 (exp.f64 a) x) (cosh.f64 (.f64 a x))) (.f64 (pow.f64 (exp.f64 a) x) (sinh.f64 (.f64 a x)))))
(/.f64 (-.f64 (.f64 (cosh.f64 (.f64 (.f64 #s(literal 2 binary64) a) x)) (cosh.f64 (.f64 (.f64 #s(literal 2 binary64) a) x))) (.f64 (sinh.f64 (.f64 (.f64 #s(literal 2 binary64) a) x)) (sinh.f64 (.f64 (.f64 #s(literal 2 binary64) a) x)))) (-.f64 (cosh.f64 (.f64 (.f64 #s(literal 2 binary64) a) x)) (sinh.f64 (.f64 (.f64 #s(literal 2 binary64) a) x))))
(/.f64 (+.f64 (pow.f64 (.f64 (cosh.f64 (.f64 a x)) (pow.f64 (exp.f64 a) x)) #s(literal 3 binary64)) (pow.f64 (.f64 (sinh.f64 (.f64 a x)) (pow.f64 (exp.f64 a) x)) #s(literal 3 binary64))) (fma.f64 (.f64 (cosh.f64 (.f64 a x)) (pow.f64 (exp.f64 a) x)) (.f64 (cosh.f64 (.f64 a x)) (pow.f64 (exp.f64 a) x)) (-.f64 (.f64 (.f64 (sinh.f64 (.f64 a x)) (pow.f64 (exp.f64 a) x)) (.f64 (sinh.f64 (.f64 a x)) (pow.f64 (exp.f64 a) x))) (.f64 (.f64 (cosh.f64 (.f64 a x)) (pow.f64 (exp.f64 a) x)) (.f64 (sinh.f64 (.f64 a x)) (pow.f64 (exp.f64 a) x))))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 a) x) (cosh.f64 (.f64 a x))) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 (exp.f64 a) x) (sinh.f64 (.f64 a x))) #s(literal 3 binary64))) (fma.f64 (.f64 (pow.f64 (exp.f64 a) x) (cosh.f64 (.f64 a x))) (.f64 (pow.f64 (exp.f64 a) x) (cosh.f64 (.f64 a x))) (-.f64 (.f64 (.f64 (pow.f64 (exp.f64 a) x) (sinh.f64 (.f64 a x))) (.f64 (pow.f64 (exp.f64 a) x) (sinh.f64 (.f64 a x)))) (.f64 (.f64 (pow.f64 (exp.f64 a) x) (cosh.f64 (.f64 a x))) (.f64 (pow.f64 (exp.f64 a) x) (sinh.f64 (.f64 a x)))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (.f64 #s(literal 2 binary64) a) x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (.f64 #s(literal 2 binary64) a) x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (.f64 (.f64 #s(literal 2 binary64) a) x)) (cosh.f64 (.f64 (.f64 #s(literal 2 binary64) a) x)) (-.f64 (.f64 (sinh.f64 (.f64 (.f64 #s(literal 2 binary64) a) x)) (sinh.f64 (.f64 (.f64 #s(literal 2 binary64) a) x))) (.f64 (cosh.f64 (.f64 (.f64 #s(literal 2 binary64) a) x)) (sinh.f64 (.f64 (.f64 #s(literal 2 binary64) a) x))))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cosh.f64 (.f64 a x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 a x)) #s(literal 3 binary64)))) (.f64 (exp.f64 (.f64 (neg.f64 a) x)) (+.f64 (pow.f64 (cosh.f64 (.f64 a x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 a x)) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 a x)) (sinh.f64 (.f64 a x)))))))
(/.f64 (.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 a x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 a x)) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 a x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 a x)) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 a x)) (sinh.f64 (.f64 a x))))) (exp.f64 (.f64 (neg.f64 a) x))))
(/.f64 (.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 a x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 a x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (.f64 a x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 a x)) #s(literal 3 binary64)))) (.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 a x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 a x)) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 a x)) (sinh.f64 (.f64 a x))))) (+.f64 (pow.f64 (cosh.f64 (.f64 a x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 a x)) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 a x)) (sinh.f64 (.f64 a x)))))))
(/.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 (neg.f64 a) x)) (exp.f64 (*.f64 (neg.f64 a) x))))
(fma.f64 (cosh.f64 (.f64 a x)) (pow.f64 (exp.f64 a) x) (.f64 (sinh.f64 (*.f64 a x)) (pow.f64 (exp.f64 a) x)))
(fma.f64 (pow.f64 (exp.f64 a) x) (cosh.f64 (.f64 a x)) (.f64 (pow.f64 (exp.f64 a) x) (sinh.f64 (*.f64 a x))))
(sqrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (*.f64 a x)))
(-.f64 (.f64 (cosh.f64 (.f64 a x)) (pow.f64 (exp.f64 a) x)) (.f64 (neg.f64 (sinh.f64 (.f64 a x))) (pow.f64 (exp.f64 a) x)))
(-.f64 (.f64 (pow.f64 (exp.f64 a) x) (cosh.f64 (.f64 a x))) (.f64 (neg.f64 (pow.f64 (exp.f64 a) x)) (sinh.f64 (.f64 a x))))
(fabs.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x))
(+.f64 (.f64 (cosh.f64 (.f64 a x)) (pow.f64 (exp.f64 a) x)) (.f64 (sinh.f64 (.f64 a x)) (pow.f64 (exp.f64 a) x)))
(+.f64 (.f64 (pow.f64 (exp.f64 a) x) (cosh.f64 (.f64 a x))) (.f64 (pow.f64 (exp.f64 a) x) (sinh.f64 (.f64 a x))))
(+.f64 (cosh.f64 (.f64 (.f64 #s(literal 2 binary64) a) x)) (sinh.f64 (.f64 (.f64 #s(literal 2 binary64) a) x)))
(exp.f64 (*.f64 a (+.f64 x x)))
(exp.f64 (.f64 x (.f64 #s(literal 2 binary64) a)))
(exp.f64 (*.f64 x (+.f64 a a)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64))) x))
(exp.f64 (.f64 (log.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (.f64 a x))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 4 binary64))) (.f64 a (/.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) a)) x))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) a) x) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) a) x))
(/.f64 (-.f64 (pow.f64 (sinh.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 (sinh.f64 #s(literal 2 binary64)) (cosh.f64 #s(literal -2 binary64))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.f64 (sinh.f64 #s(literal 2 binary64)) (sinh.f64 #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (sinh.f64 #s(literal 2 binary64)) (cosh.f64 #s(literal -2 binary64))))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 #s(literal -2 binary64)))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cosh.f64 #s(literal -2 binary64)) (cosh.f64 #s(literal -2 binary64)) (-.f64 (pow.f64 (sinh.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (cosh.f64 #s(literal -2 binary64)) (sinh.f64 #s(literal 2 binary64)))))))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 #s(literal 2 binary64))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 #s(literal -2 binary64))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 #s(literal -2 binary64))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 #s(literal 2 binary64))))) #s(literal 4 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 #s(literal -2 binary64))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 #s(literal -2 binary64)) (cosh.f64 #s(literal -2 binary64)) (-.f64 (pow.f64 (sinh.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (cosh.f64 #s(literal -2 binary64)) (sinh.f64 #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (exp.f64 #s(literal -2 binary64)))
(-.f64 (/.f64 (pow.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal 2 binary64)) (exp.f64 #s(literal -2 binary64))) (/.f64 (pow.f64 (sinh.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (exp.f64 #s(literal -2 binary64))))
(+.f64 (/.f64 (pow.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal 3 binary64)) (fma.f64 (cosh.f64 #s(literal -2 binary64)) (cosh.f64 #s(literal -2 binary64)) (-.f64 (pow.f64 (sinh.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (cosh.f64 #s(literal -2 binary64)) (sinh.f64 #s(literal 2 binary64)))))) (/.f64 (pow.f64 (sinh.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (cosh.f64 #s(literal -2 binary64)) (cosh.f64 #s(literal -2 binary64)) (-.f64 (pow.f64 (sinh.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (cosh.f64 #s(literal -2 binary64)) (sinh.f64 #s(literal 2 binary64)))))))
(+.f64 (sinh.f64 #s(literal 2 binary64)) (cosh.f64 #s(literal -2 binary64)))
(+.f64 (cosh.f64 #s(literal -2 binary64)) (sinh.f64 #s(literal 2 binary64)))
(exp.f64 #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) a)
(*.f64 a #s(literal 1/2 binary64))

eval95.0ms (1.6%)

Memory: 35.4MiB live, 130.6MiB allocated; 39ms collecting garbage
Compiler: Compiled 16 335 to 2 154 computations (86.8% saved)

prune17.0ms (0.3%)

Memory

-3.4MiB live, 40.9MiB allocated; 4ms collecting garbage

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	538	8	546
Fresh	3	0	3
Picked	1	4	5
Done	0	0	0
Total	542	12	554

Accuracy

100.0%

Counts

554 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.8%	(-.f64 (sqrt.f64 (exp.f64 (*.f64 x (+.f64 a a)))) #s(literal 1 binary64))
✓	21.7%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
	20.5%	(-.f64 #s(approx (exp (* a x)) (fma.f64 #s(approx (+ (* (* 1/2 a) x) 1) (.f64 #s(literal 1/2 binary64) (.f64 a x))) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	22.7%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
	4.4%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a))) #s(literal 1 binary64))
▶	4.5%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
✓	21.0%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
	66.4%	#s(approx (- (sqrt (pow (exp 2) (* x a))) 1) (.f64 (fma.f64 (.f64 (fma.f64 x x #s(literal 0 binary64)) a) #s(literal 1/2 binary64) x) a))
▶	67.4%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a))
▶	66.2%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
▶	71.4%	#s(approx (- (exp (* x a)) 1) (*.f64 a x))

Compiler

Compiled 375 to 271 computations (27.7% saved)

simplify198.0ms (3.4%)

Memory

-7.4MiB live, 181.3MiB allocated; 27ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x (+.f64 a a))
cost-diff	0	(exp.f64 (*.f64 x (+.f64 a a)))
cost-diff	2	(-.f64 (sqrt.f64 (exp.f64 (*.f64 x (+.f64 a a)))) #s(literal 1 binary64))
cost-diff	3	(sqrt.f64 (exp.f64 (*.f64 x (+.f64 a a))))
cost-diff	0	(.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)))
cost-diff	0	(fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x)
cost-diff	0	(.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a)
cost-diff	0	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a))
cost-diff	0	(.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x)
cost-diff	0	#s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))
cost-diff	0	#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x)))
cost-diff	0	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
cost-diff	0	(.f64 (.f64 a a) x)
cost-diff	0	(fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a)
cost-diff	0	(.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)
cost-diff	0	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
cost-diff	0	(*.f64 a x)
cost-diff	0	#s(approx (- (exp (* x a)) 1) (*.f64 a x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	279
0	60	279
1	130	279
2	404	270
3	1578	270
4	5044	270
0	9183	259

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
(*.f64 a x)
a
x
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
(.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)
(fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a)
(.f64 (.f64 a a) x)
(*.f64 a a)
a
x
#s(literal 1/2 binary64)
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x)))
#s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))
(.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x)
(.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64))
(.f64 (.f64 a a) x)
(*.f64 a a)
a
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a))
(.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a)
(fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x)
(.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)))
(*.f64 x x)
x
(fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/6 binary64) a)
#s(literal 1/6 binary64)
a
#s(literal 1/2 binary64)
(-.f64 (sqrt.f64 (exp.f64 (*.f64 x (+.f64 a a)))) #s(literal 1 binary64))
(sqrt.f64 (exp.f64 (*.f64 x (+.f64 a a))))
(exp.f64 (*.f64 x (+.f64 a a)))
(*.f64 x (+.f64 a a))
x
(+.f64 a a)
a
#s(literal 1 binary64)

Outputs
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
(*.f64 a x)
a
x
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a) x))
(.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)
(.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a) x)
(fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a)
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a)
(.f64 (.f64 a a) x)
(*.f64 a a)
a
x
#s(literal 1/2 binary64)
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) x))) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x)))
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) x)))
#s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))
#s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) x))
(.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x)
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) x)
(.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) x))
(.f64 (.f64 a a) x)
(*.f64 a a)
a
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (.f64 a x)))
(.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a)
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (.f64 a x))
(fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x)
(.f64 (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) x)
(.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)))
(.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x)
(*.f64 x x)
x
(fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/6 binary64) a)
#s(literal 1/6 binary64)
a
#s(literal 1/2 binary64)
(-.f64 (sqrt.f64 (exp.f64 (*.f64 x (+.f64 a a)))) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(sqrt.f64 (exp.f64 (*.f64 x (+.f64 a a))))
(pow.f64 (exp.f64 a) x)
(exp.f64 (*.f64 x (+.f64 a a)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) a)
(*.f64 x (+.f64 a a))
(.f64 #s(literal 2 binary64) (.f64 a x))
x
(+.f64 a a)
(*.f64 #s(literal 2 binary64) a)
a
#s(literal 1 binary64)

localize536.0ms (9.2%)

Memory

-31.4MiB live, 160.8MiB allocated; 915ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x (+.f64 a a))
accuracy	0.0	(exp.f64 (*.f64 x (+.f64 a a)))
accuracy	0.00390625	(sqrt.f64 (exp.f64 (*.f64 x (+.f64 a a))))
accuracy	31.46823928042829	(-.f64 (sqrt.f64 (exp.f64 (*.f64 x (+.f64 a a)))) #s(literal 1 binary64))
accuracy	0.26466031651668875	(.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a)
accuracy	0.33984375	(*.f64 #s(literal 1/6 binary64) a)
accuracy	4.788082509150801	(fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x)
accuracy	18.057771095960256	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a))
accuracy	8.64817188188403	(.f64 (.f64 a a) x)
accuracy	18.45244961836582	#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x)))
accuracy	31.46823928042829	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
accuracy	43.98391311337904	#s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))
accuracy	0.00390625	(fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a)
accuracy	0.9826182254423715	(.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)
accuracy	8.64817188188403	(.f64 (.f64 a a) x)
accuracy	18.7480759388444	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
accuracy	0.0	(*.f64 a x)
accuracy	18.279225405557348	#s(approx (- (exp (* x a)) 1) (*.f64 a x))

Samples

387.0ms	92×	1	valid
100.0ms	86×	2	valid
25.0ms	77×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 200 to 36 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 484.0ms

adjust: 367.0ms (75.8% of total)

ival-mult: 71.0ms (14.7% of total)

ival-exp: 23.0ms (4.8% of total)

ival-add: 7.0ms (1.4% of total)

ival-expm1: 5.0ms (1% of total)

const: 4.0ms (0.8% of total)

ival-sqrt: 4.0ms (0.8% of total)

ival-sub: 3.0ms (0.6% of total)

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

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

exact: 0.0ms (0% of total)

series24.0ms (0.4%)

Memory

-20.5MiB live, 24.7MiB allocated; 6ms collecting garbage

Counts

19 → 80

Calls

Call 1

Inputs
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
(*.f64 a x)
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
(.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)
(fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a)
(.f64 (.f64 a a) x)
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x)))
#s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))
(.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x)
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a))
(.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a)
(fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x)
(.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)))
(sqrt.f64 (exp.f64 (*.f64 x (+.f64 a a))))
(-.f64 (sqrt.f64 (exp.f64 (*.f64 x (+.f64 a a)))) #s(literal 1 binary64))
(exp.f64 (*.f64 x (+.f64 a a)))
(*.f64 x (+.f64 a a))
(*.f64 #s(literal 1/6 binary64) a)

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	a	@	inf	((- (exp (* x a)) 1) (* a x) (- (exp (* x a)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (* (* (* (* a a) x) 1/2) x) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (* (* x x) (+ (* (* 1/6 a) x) 1/2)) (sqrt (exp (* x (+ a a)))) (- (sqrt (exp (* x (+ a a)))) 1) (exp (* x (+ a a))) (* x (+ a a)) (* 1/6 a))
5.0ms	a	@	-inf	((- (exp (* x a)) 1) (* a x) (- (exp (* x a)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (* (* (* (* a a) x) 1/2) x) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (* (* x x) (+ (* (* 1/6 a) x) 1/2)) (sqrt (exp (* x (+ a a)))) (- (sqrt (exp (* x (+ a a)))) 1) (exp (* x (+ a a))) (* x (+ a a)) (* 1/6 a))
3.0ms	a	@	0	((- (exp (* x a)) 1) (* a x) (- (exp (* x a)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (* (* (* (* a a) x) 1/2) x) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (* (* x x) (+ (* (* 1/6 a) x) 1/2)) (sqrt (exp (* x (+ a a)))) (- (sqrt (exp (* x (+ a a)))) 1) (exp (* x (+ a a))) (* x (+ a a)) (* 1/6 a))
3.0ms	x	@	-inf	((- (exp (* x a)) 1) (* a x) (- (exp (* x a)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (* (* (* (* a a) x) 1/2) x) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (* (* x x) (+ (* (* 1/6 a) x) 1/2)) (sqrt (exp (* x (+ a a)))) (- (sqrt (exp (* x (+ a a)))) 1) (exp (* x (+ a a))) (* x (+ a a)) (* 1/6 a))
3.0ms	x	@	inf	((- (exp (* x a)) 1) (* a x) (- (exp (* x a)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (* (* (* (* a a) x) 1/2) x) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (* (* x x) (+ (* (* 1/6 a) x) 1/2)) (sqrt (exp (* x (+ a a)))) (- (sqrt (exp (* x (+ a a)))) 1) (exp (* x (+ a a))) (* x (+ a a)) (* 1/6 a))

simplify148.0ms (2.5%)

Memory

23.9MiB live, 115.6MiB allocated; 21ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	292	1326
1	1124	1292
2	4697	1264
0	8328	1141

Stop Event

1×	iter limit
1×	node limit

Counts

80 → 78

Calls

Call 1

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

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

rewrite151.0ms (2.6%)

Memory

7.9MiB live, 140.4MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	233
0	60	230
1	229	230
2	1659	198
0	9293	181

Stop Event

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

Counts

19 → 989

Calls

Call 1

Inputs
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
(*.f64 a x)
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
(.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)
(fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a)
(.f64 (.f64 a a) x)
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x)))
#s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))
(.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x)
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a))
(.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a)
(fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x)
(.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)))
(sqrt.f64 (exp.f64 (*.f64 x (+.f64 a a))))
(-.f64 (sqrt.f64 (exp.f64 (*.f64 x (+.f64 a a)))) #s(literal 1 binary64))
(exp.f64 (*.f64 x (+.f64 a a)))
(*.f64 x (+.f64 a a))
(*.f64 #s(literal 1/6 binary64) a)

Outputs
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
(.f64 (.f64 x #s(literal 2 binary64)) a)
(.f64 (.f64 #s(literal 2 binary64) x) a)
(.f64 (/.f64 (.f64 #s(literal 2 binary64) a) #s(literal 2 binary64)) x)
(*.f64 (+.f64 x x) a)
(.f64 (.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 1/2 binary64)) x)
(.f64 (.f64 #s(literal 1/2 binary64) x) a)
(.f64 #s(literal 2 binary64) (.f64 a x))
(.f64 (.f64 #s(literal 2 binary64) a) (/.f64 x #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 2 binary64) a) x)
(.f64 (.f64 #s(literal 1/2 binary64) a) (*.f64 x #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) a) x)
(.f64 #s(literal 1/2 binary64) (.f64 a x))
(.f64 (.f64 a x) #s(literal 2 binary64))
(.f64 (.f64 a x) #s(literal 1/2 binary64))
(.f64 (.f64 a x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 a x))
(*.f64 a (log.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(*.f64 a (+.f64 x x))
(.f64 a (.f64 #s(literal 1/2 binary64) x))
(*.f64 a x)
(*.f64 x (log.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64))))
(.f64 x (.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)))
(.f64 x (/.f64 (.f64 #s(literal 2 binary64) a) #s(literal 2 binary64)))
(.f64 x (.f64 #s(literal 2 binary64) a))
(.f64 x (.f64 #s(literal 1/2 binary64) a))
(*.f64 x a)
(/.f64 (-.f64 (pow.f64 (.f64 a x) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 a) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) (fma.f64 (.f64 (neg.f64 a) x) (.f64 (neg.f64 a) x) (.f64 (.f64 a x) (.f64 (neg.f64 a) x)))))
(/.f64 (-.f64 (pow.f64 (.f64 a x) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) a) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) (fma.f64 (.f64 (neg.f64 x) a) (.f64 (neg.f64 x) a) (.f64 (.f64 a x) (.f64 (neg.f64 x) a)))))
(/.f64 (+.f64 (neg.f64 (.f64 a x)) (neg.f64 (.f64 a x))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 a a #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 x #s(literal 0 binary64))) #s(literal 0 binary64))
(/.f64 (neg.f64 (.f64 x (.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64))))) (neg.f64 (fma.f64 a a #s(literal 0 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) (pow.f64 (.f64 a x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 a x) (.f64 a x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 a x) #s(literal 3 binary64)) (pow.f64 (.f64 a x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) (pow.f64 (*.f64 a x) #s(literal 2 binary64))))))
(/.f64 (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64)))) x) (*.f64 (neg.f64 (fma.f64 a a #s(literal 0 binary64))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 (.f64 a x)) #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (neg.f64 (*.f64 a x)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (.f64 a x)) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (*.f64 a x))) #s(literal -4 binary64))
(/.f64 (fma.f64 (.f64 a x) #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (neg.f64 (*.f64 a x)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 a x))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64))) x) (*.f64 (fma.f64 a a #s(literal 0 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64))) x) (fma.f64 a a #s(literal 0 binary64)))
(/.f64 (*.f64 x #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 (.f64 x (.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 a a #s(literal 0 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) (pow.f64 (.f64 a x) #s(literal 2 binary64))) (-.f64 (.f64 a x) (.f64 a x)))
(/.f64 (+.f64 (pow.f64 (.f64 a x) #s(literal 3 binary64)) (pow.f64 (.f64 a x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 a x)) #s(literal -2 binary64))
(/.f64 (*.f64 a x) #s(literal 4 binary64))
(/.f64 (*.f64 a x) #s(literal 2 binary64))
(fma.f64 (*.f64 x #s(literal 2 binary64)) a #s(literal 0 binary64))
(fma.f64 (.f64 x #s(literal 2 binary64)) a (.f64 a x))
(fma.f64 (*.f64 #s(literal 2 binary64) x) a #s(literal 0 binary64))
(fma.f64 (.f64 #s(literal 2 binary64) x) a (.f64 a x))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64)) x #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 #s(literal 2 binary64) a) #s(literal 2 binary64)) x (.f64 a x))
(fma.f64 (+.f64 x x) a #s(literal 0 binary64))
(fma.f64 (+.f64 x x) a (*.f64 a x))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) a) #s(literal 1/2 binary64)) x #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) a) #s(literal 1/2 binary64)) x (*.f64 a x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) a #s(literal 0 binary64))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) a (.f64 a x))
(fma.f64 #s(literal 2 binary64) (*.f64 a x) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 a x) (.f64 a x))
(fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 x #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 #s(literal 2 binary64) a) (/.f64 x #s(literal 2 binary64)) (.f64 a x))
(fma.f64 (*.f64 #s(literal 2 binary64) a) x #s(literal 0 binary64))
(fma.f64 (.f64 #s(literal 2 binary64) a) x (.f64 a x))
(fma.f64 (.f64 #s(literal 1/2 binary64) a) (.f64 x #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 #s(literal 1/2 binary64) a) (.f64 x #s(literal 1 binary64)) (*.f64 a x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 0 binary64))
(fma.f64 (.f64 #s(literal 1/2 binary64) a) x (.f64 a x))
(fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (.f64 a x) (.f64 a x))
(fma.f64 (*.f64 a x) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (.f64 a x) #s(literal 2 binary64) (.f64 a x))
(fma.f64 (*.f64 a x) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 (.f64 a x) #s(literal 1/2 binary64) (.f64 a x))
(fma.f64 (*.f64 a x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (.f64 a x) #s(literal 1 binary64) (.f64 a x))
(fma.f64 #s(literal 1 binary64) (*.f64 a x) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 a x) (.f64 a x))
(fma.f64 a (log.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 a (log.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 a x))
(fma.f64 a (+.f64 x x) #s(literal 0 binary64))
(fma.f64 a (+.f64 x x) (*.f64 a x))
(fma.f64 a (*.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64))
(fma.f64 a (.f64 #s(literal 1/2 binary64) x) (.f64 a x))
(fma.f64 a x #s(literal 0 binary64))
(fma.f64 a x (*.f64 a x))
(fma.f64 x (log.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 x (log.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (*.f64 a x))
(fma.f64 x (.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 x (.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) (*.f64 a x))
(fma.f64 x (/.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 x (/.f64 (.f64 #s(literal 2 binary64) a) #s(literal 2 binary64)) (.f64 a x))
(fma.f64 x (*.f64 #s(literal 2 binary64) a) #s(literal 0 binary64))
(fma.f64 x (.f64 #s(literal 2 binary64) a) (.f64 a x))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) a) #s(literal 0 binary64))
(fma.f64 x (.f64 #s(literal 1/2 binary64) a) (.f64 a x))
(fma.f64 x a #s(literal 0 binary64))
(fma.f64 x a (*.f64 a x))
(-.f64 (/.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 (.f64 a x) (.f64 a x))) (/.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 (.f64 a x) (.f64 a x))))
(-.f64 (log.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 a x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 a x)) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 a x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 a x)) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 a x)) (sinh.f64 (*.f64 a x)))))))
(-.f64 #s(literal 0 binary64) (log.f64 (exp.f64 (neg.f64 (*.f64 a x)))))
(-.f64 (.f64 a x) (/.f64 (.f64 (neg.f64 a) x) #s(literal 2 binary64)))
(-.f64 (.f64 a x) (/.f64 (.f64 (neg.f64 x) a) #s(literal 2 binary64)))
(-.f64 (.f64 a x) (.f64 (neg.f64 a) x))
(-.f64 (.f64 a x) (.f64 (neg.f64 x) a))
(+.f64 (/.f64 (pow.f64 (.f64 a x) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) (pow.f64 (.f64 a x) #s(literal 2 binary64))))) (/.f64 (pow.f64 (.f64 a x) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) (pow.f64 (.f64 a x) #s(literal 2 binary64))))))
(+.f64 (log.f64 (neg.f64 (pow.f64 (exp.f64 a) x))) (log.f64 (neg.f64 (pow.f64 (exp.f64 a) x))))
(+.f64 (log.f64 (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64)))) (log.f64 (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64)))) (log.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 a x))
(+.f64 (*.f64 a x) #s(literal 0 binary64))
(+.f64 (.f64 a x) (.f64 a x))
(log.f64 (pow.f64 (exp.f64 a) x))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 a a) x a) x))
(.f64 (.f64 (fma.f64 a x #s(literal 1 binary64)) a) x)
(.f64 (.f64 (fma.f64 a x #s(literal 1 binary64)) x) (*.f64 a #s(literal 1 binary64)))
(.f64 (.f64 (fma.f64 a x #s(literal 1 binary64)) x) a)
(.f64 (.f64 (fma.f64 (*.f64 a a) x a) x) #s(literal 1 binary64))
(.f64 (fma.f64 a x #s(literal 1 binary64)) (.f64 a x))
(.f64 (fma.f64 (.f64 a a) x a) x)
(.f64 (.f64 a x) (*.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 a x) (fma.f64 a x #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (fma.f64 (*.f64 a a) x a) x))
(.f64 a (.f64 (fma.f64 a x #s(literal 1 binary64)) x))
(.f64 x (.f64 a (fma.f64 a x #s(literal 1 binary64))))
(.f64 x (fma.f64 (.f64 a a) x a))
(/.f64 (+.f64 (pow.f64 (.f64 a x) #s(literal 6 binary64)) (pow.f64 (.f64 a x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 a x) #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) (pow.f64 (*.f64 a x) #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 a x) #s(literal 3 binary64)) (pow.f64 (.f64 a x) #s(literal 6 binary64))) (+.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 a x) #s(literal 4 binary64)) (pow.f64 (*.f64 a x) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 a a) x) #s(literal 2 binary64)) (.f64 a a)) x)) (neg.f64 (-.f64 (.f64 (.f64 a a) x) a)))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 a (-.f64 a (.f64 (.f64 a a) x)) (pow.f64 (.f64 (*.f64 a a) x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 x (-.f64 (pow.f64 (.f64 (.f64 a a) x) #s(literal 2 binary64)) (.f64 a a)))) (neg.f64 (-.f64 (.f64 (.f64 a a) x) a)))
(/.f64 (neg.f64 (.f64 x (fma.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (neg.f64 (fma.f64 a (-.f64 a (.f64 (.f64 a a) x)) (pow.f64 (.f64 (*.f64 a a) x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 a x))) (neg.f64 (-.f64 (.f64 a x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 a x))) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 a x))))
(/.f64 (neg.f64 (.f64 (.f64 a x) (-.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (.f64 a x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 a x) (+.f64 (pow.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 a x))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 a x)) (-.f64 (.f64 a x) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 a x)) (-.f64 (+.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 a x)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 a a) x) #s(literal 2 binary64)) (.f64 a a)) x) (-.f64 (.f64 (.f64 a a) x) a))
(/.f64 (.f64 (fma.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) x) (fma.f64 a (-.f64 a (.f64 (.f64 a a) x)) (pow.f64 (.f64 (*.f64 a a) x) #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 a x) (-.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (.f64 a x) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 a x) (+.f64 (pow.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 a x)))
(/.f64 (.f64 x (-.f64 (pow.f64 (.f64 (.f64 a a) x) #s(literal 2 binary64)) (.f64 a a))) (-.f64 (.f64 (.f64 a a) x) a))
(/.f64 (.f64 x (fma.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 a (-.f64 a (.f64 (.f64 a a) x)) (pow.f64 (.f64 (*.f64 a a) x) #s(literal 2 binary64))))
(fma.f64 (neg.f64 (fabs.f64 (.f64 a x))) (neg.f64 (fabs.f64 (.f64 a x))) (*.f64 a x))
(fma.f64 (fabs.f64 (fabs.f64 (.f64 a x))) (fabs.f64 (fabs.f64 (.f64 a x))) (*.f64 a x))
(fma.f64 (fabs.f64 (.f64 a x)) (fabs.f64 (.f64 a x)) (*.f64 a x))
(fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (.f64 a a) (*.f64 a x))
(fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal 2 binary64)) (pow.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 a x))
(fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal 2 binary64)) (.f64 x x) (*.f64 a x))
(fma.f64 (neg.f64 (neg.f64 (.f64 a x))) (neg.f64 (neg.f64 (.f64 a x))) (*.f64 a x))
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(-.f64 (.f64 a x) (.f64 (neg.f64 a) x))
(-.f64 (.f64 a x) (.f64 (neg.f64 x) a))
(+.f64 (/.f64 (pow.f64 (.f64 a x) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) (pow.f64 (.f64 a x) #s(literal 2 binary64))))) (/.f64 (pow.f64 (.f64 a x) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) (pow.f64 (.f64 a x) #s(literal 2 binary64))))))
(+.f64 (log.f64 (neg.f64 (pow.f64 (exp.f64 a) x))) (log.f64 (neg.f64 (pow.f64 (exp.f64 a) x))))
(+.f64 (log.f64 (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64)))) (log.f64 (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64)))) (log.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 a x))
(+.f64 (*.f64 a x) #s(literal 0 binary64))
(+.f64 (.f64 a x) (.f64 a x))
(log.f64 (pow.f64 (exp.f64 a) x))
(*.f64 #s(literal 1/6 binary64) a)
(*.f64 a #s(literal 1/6 binary64))

eval115.0ms (2%)

Memory: 7.5MiB live, 152.0MiB allocated; 21ms collecting garbage
Compiler: Compiled 21 142 to 2 683 computations (87.3% saved)

prune28.0ms (0.5%)

Memory

-43.8MiB live, 54.2MiB allocated; 13ms collecting garbage

Pruning

17 alts after pruning (10 fresh and 7 done)

	Pruned	Kept	Total
New	764	9	773
Fresh	2	1	3
Picked	2	3	5
Done	0	4	4
Total	768	17	785

Accuracy

100.0%

Counts

785 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.8%	(-.f64 (sqrt.f64 (exp.f64 (*.f64 x (+.f64 a a)))) #s(literal 1 binary64))
✓	21.7%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	22.7%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
	4.4%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a))) #s(literal 1 binary64))
▶	4.5%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (*.f64 a a) x) x))) #s(literal 1 binary64))
✓	21.0%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
▶	28.4%	#s(approx (- (exp (* x a)) 1) (fma.f64 (+.f64 x x) a (*.f64 a x)))
	28.2%	#s(approx (- (exp (* x a)) 1) (/.f64 (*.f64 a x) #s(literal 4 binary64)))
✓	66.2%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
▶	71.8%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a))
▶	70.2%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 a x) a a) x))
	70.2%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 a x #s(literal 1 binary64)) (.f64 a x)))
▶	29.0%	#s(approx (- (exp (* x a)) 1) (*.f64 (+.f64 x x) a))
	29.0%	#s(approx (- (exp (* x a)) 1) (.f64 (.f64 a x) #s(literal 1/2 binary64)))
	70.7%	#s(approx (- (exp (* x a)) 1) (.f64 #s(approx (+ ( (* (* a a) x) 1/2) a) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a)) x))
✓	71.4%	#s(approx (- (exp (* x a)) 1) (*.f64 a x))

Compiler

Compiled 459 to 329 computations (28.3% saved)

simplify148.0ms (2.5%)

Memory

38.2MiB live, 128.2MiB allocated; 7ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 (*.f64 a a) x) x)
cost-diff	0	#s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (*.f64 a a) x) x))
cost-diff	0	#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (*.f64 a a) x) x)))
cost-diff	0	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (*.f64 a a) x) x))) #s(literal 1 binary64))
cost-diff	0	(*.f64 a x)
cost-diff	0	(fma.f64 (*.f64 a x) a a)
cost-diff	0	(.f64 (fma.f64 (.f64 a x) a a) x)
cost-diff	0	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 a x) a a) x))
cost-diff	0	(*.f64 a x)
cost-diff	0	(+.f64 x x)
cost-diff	0	#s(approx (- (exp (* x a)) 1) (fma.f64 (+.f64 x x) a (*.f64 a x)))
cost-diff	3	(fma.f64 (+.f64 x x) a (*.f64 a x))
cost-diff	0	(+.f64 x x)
cost-diff	0	(*.f64 (+.f64 x x) a)
cost-diff	0	#s(approx (- (exp (* x a)) 1) (*.f64 (+.f64 x x) a))
cost-diff	0	(*.f64 a x)
cost-diff	0	(fma.f64 (.f64 a x) (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x)
cost-diff	0	(.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a)
cost-diff	0	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	254
0	54	254
1	111	252
2	302	248
3	1100	248
4	3736	248
5	7932	248
0	8286	234

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a))
(.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a)
(fma.f64 (.f64 a x) (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x)
(*.f64 a x)
a
x
(.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x)
(fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/6 binary64) a)
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(approx (- (exp (* x a)) 1) (*.f64 (+.f64 x x) a))
(*.f64 (+.f64 x x) a)
(+.f64 x x)
x
a
#s(approx (- (exp (* x a)) 1) (fma.f64 (+.f64 x x) a (*.f64 a x)))
(fma.f64 (+.f64 x x) a (*.f64 a x))
(+.f64 x x)
x
a
(*.f64 a x)
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 a x) a a) x))
(.f64 (fma.f64 (.f64 a x) a a) x)
(fma.f64 (*.f64 a x) a a)
(*.f64 a x)
a
x
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (*.f64 a a) x) x))) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (*.f64 a a) x) x)))
#s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (*.f64 a a) x) x))
(.f64 (.f64 (*.f64 a a) x) x)
(.f64 (.f64 a a) x)
(*.f64 a a)
a
x
#s(literal 1 binary64)

Outputs
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) (.f64 a x) x) a))
(.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a)
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) (.f64 a x) x) a)
(fma.f64 (.f64 a x) (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x)
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) (*.f64 a x) x)
(*.f64 a x)
a
x
(.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x)
(fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/6 binary64) a)
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(approx (- (exp (* x a)) 1) (*.f64 (+.f64 x x) a))
#s(approx (- (exp (* x a)) 1) (.f64 #s(literal 2 binary64) (.f64 a x)))
(*.f64 (+.f64 x x) a)
(.f64 #s(literal 2 binary64) (.f64 a x))
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)
x
a
#s(approx (- (exp (* x a)) 1) (fma.f64 (+.f64 x x) a (*.f64 a x)))
#s(approx (- (exp (* x a)) 1) (.f64 #s(literal 3 binary64) (.f64 a x)))
(fma.f64 (+.f64 x x) a (*.f64 a x))
(.f64 #s(literal 3 binary64) (.f64 a x))
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)
x
a
(*.f64 a x)
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 a x) a a) x))
(.f64 (fma.f64 (.f64 a x) a a) x)
(fma.f64 (*.f64 a x) a a)
(*.f64 a x)
a
x
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (*.f64 a a) x) x))) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (*.f64 a a) x) x)))
#s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (*.f64 a a) x) x))
(.f64 (.f64 (*.f64 a a) x) x)
(.f64 (.f64 a a) x)
(*.f64 a a)
a
x
#s(literal 1 binary64)

localize103.0ms (1.8%)

Memory

-2.0MiB live, 139.2MiB allocated; 17ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	8.64817188188403	(.f64 (.f64 a a) x)
accuracy	18.45244961836582	#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (*.f64 a a) x) x)))
accuracy	31.46823928042829	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (*.f64 a a) x) x))) #s(literal 1 binary64))
accuracy	50.374561589959846	#s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (*.f64 a a) x) x))
accuracy	0.0	(*.f64 a x)
accuracy	0.04296875	(fma.f64 (*.f64 a x) a a)
accuracy	0.9747159945237907	(.f64 (fma.f64 (.f64 a x) a a) x)
accuracy	19.06155940681375	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 a x) a a) x))
accuracy	0.0	(+.f64 x x)
accuracy	0.0	(*.f64 a x)
accuracy	0.1171875	(fma.f64 (+.f64 x x) a (*.f64 a x))
accuracy	45.842553954673676	#s(approx (- (exp (* x a)) 1) (fma.f64 (+.f64 x x) a (*.f64 a x)))
accuracy	0.0	(+.f64 x x)
accuracy	0.0	(*.f64 (+.f64 x x) a)
accuracy	45.47090321686627	#s(approx (- (exp (* x a)) 1) (*.f64 (+.f64 x x) a))
accuracy	0.05859375	(fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))
accuracy	0.26466031651668875	(.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a)
accuracy	0.33984375	(*.f64 #s(literal 1/6 binary64) a)
accuracy	18.057771095960256	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a))

Samples

64.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 173 to 33 computations (80.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 31.0ms (62.8% of total)

ival-add: 9.0ms (18.2% of total)

const: 4.0ms (8.1% of total)

ival-expm1: 3.0ms (6.1% of total)

ival-exp: 2.0ms (4.1% of total)

adjust: 1.0ms (2% of total)

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

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

exact: 0.0ms (0% of total)

series16.0ms (0.3%)

Memory

-20.2MiB live, 25.1MiB allocated; 5ms collecting garbage

Counts

19 → 70

Calls

Call 1

Inputs
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a))
(.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a)
(fma.f64 (.f64 a x) (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x)
(*.f64 a x)
#s(approx (- (exp (* x a)) 1) (*.f64 (+.f64 x x) a))
(*.f64 (+.f64 x x) a)
(+.f64 x x)
(fma.f64 (+.f64 x x) a (*.f64 a x))
#s(approx (- (exp (* x a)) 1) (fma.f64 (+.f64 x x) a (*.f64 a x)))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 a x) a a) x))
(.f64 (fma.f64 (.f64 a x) a a) x)
(fma.f64 (*.f64 a x) a a)
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (*.f64 a a) x) x))) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (*.f64 a a) x) x)))
#s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (*.f64 a a) x) x))
(.f64 (.f64 (*.f64 a a) x) x)
(*.f64 #s(literal 1/6 binary64) a)
(fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))
(.f64 (.f64 a a) x)

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	((- (exp (* x a)) 1) (* (+ (* (* a x) (* (+ (* (* 1/6 a) x) 1/2) x)) x) a) (+ (* (* a x) (* (+ (* (* 1/6 a) x) 1/2) x)) x) (* a x) (- (exp (* x a)) 1) (* (+ x x) a) (+ x x) (+ (* (+ x x) a) (* a x)) (- (exp (* x a)) 1) (- (exp (* x a)) 1) (* (+ (* (* a x) a) a) x) (+ (* (* a x) a) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (* (* (* a a) x) x) (* 1/6 a) (+ (* (* 1/6 a) x) 1/2) (* (* a a) x))
2.0ms	a	@	-inf	((- (exp (* x a)) 1) (* (+ (* (* a x) (* (+ (* (* 1/6 a) x) 1/2) x)) x) a) (+ (* (* a x) (* (+ (* (* 1/6 a) x) 1/2) x)) x) (* a x) (- (exp (* x a)) 1) (* (+ x x) a) (+ x x) (+ (* (+ x x) a) (* a x)) (- (exp (* x a)) 1) (- (exp (* x a)) 1) (* (+ (* (* a x) a) a) x) (+ (* (* a x) a) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (* (* (* a a) x) x) (* 1/6 a) (+ (* (* 1/6 a) x) 1/2) (* (* a a) x))
2.0ms	x	@	inf	((- (exp (* x a)) 1) (* (+ (* (* a x) (* (+ (* (* 1/6 a) x) 1/2) x)) x) a) (+ (* (* a x) (* (+ (* (* 1/6 a) x) 1/2) x)) x) (* a x) (- (exp (* x a)) 1) (* (+ x x) a) (+ x x) (+ (* (+ x x) a) (* a x)) (- (exp (* x a)) 1) (- (exp (* x a)) 1) (* (+ (* (* a x) a) a) x) (+ (* (* a x) a) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (* (* (* a a) x) x) (* 1/6 a) (+ (* (* 1/6 a) x) 1/2) (* (* a a) x))
2.0ms	a	@	inf	((- (exp (* x a)) 1) (* (+ (* (* a x) (* (+ (* (* 1/6 a) x) 1/2) x)) x) a) (+ (* (* a x) (* (+ (* (* 1/6 a) x) 1/2) x)) x) (* a x) (- (exp (* x a)) 1) (* (+ x x) a) (+ x x) (+ (* (+ x x) a) (* a x)) (- (exp (* x a)) 1) (- (exp (* x a)) 1) (* (+ (* (* a x) a) a) x) (+ (* (* a x) a) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (* (* (* a a) x) x) (* 1/6 a) (+ (* (* 1/6 a) x) 1/2) (* (* a a) x))
2.0ms	a	@	0	((- (exp (* x a)) 1) (* (+ (* (* a x) (* (+ (* (* 1/6 a) x) 1/2) x)) x) a) (+ (* (* a x) (* (+ (* (* 1/6 a) x) 1/2) x)) x) (* a x) (- (exp (* x a)) 1) (* (+ x x) a) (+ x x) (+ (* (+ x x) a) (* a x)) (- (exp (* x a)) 1) (- (exp (* x a)) 1) (* (+ (* (* a x) a) a) x) (+ (* (* a x) a) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (* (* (* a a) x) x) (* 1/6 a) (+ (* (* 1/6 a) x) 1/2) (* (* a a) x))

simplify195.0ms (3.3%)

Memory

2.3MiB live, 189.4MiB allocated; 39ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	223	814
1	862	802
2	3277	756
0	8148	682

Stop Event

1×	iter limit
1×	node limit

Counts

70 → 68

Calls

Call 1

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

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

rewrite165.0ms (2.8%)

Memory

26.6MiB live, 169.3MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	221
0	54	221
1	211	211
2	1493	211
0	8210	195

Stop Event

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

Counts

19 → 378

Calls

Call 1

Inputs
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a))
(.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a)
(fma.f64 (.f64 a x) (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x)
(*.f64 a x)
#s(approx (- (exp (* x a)) 1) (*.f64 (+.f64 x x) a))
(*.f64 (+.f64 x x) a)
(+.f64 x x)
(fma.f64 (+.f64 x x) a (*.f64 a x))
#s(approx (- (exp (* x a)) 1) (fma.f64 (+.f64 x x) a (*.f64 a x)))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 a x) a a) x))
(.f64 (fma.f64 (.f64 a x) a a) x)
(fma.f64 (*.f64 a x) a a)
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (*.f64 a a) x) x))) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (*.f64 a a) x) x)))
#s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (*.f64 a a) x) x))
(.f64 (.f64 (*.f64 a a) x) x)
(*.f64 #s(literal 1/6 binary64) a)
(fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))
(.f64 (.f64 a a) x)

Outputs
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) (.f64 a x) x) a))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) (.f64 a x) x) a)
(.f64 a (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) (.f64 a x) x))
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(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))))) (-.f64 (.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64)))))) (.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64)))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) a) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))) (.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64)) (-.f64 (.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64)))) (.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64)))) #s(literal 1/8 binary64))) (.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) a) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) a #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) a) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) a) x))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) a) x))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/6 binary64) a)) x))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 a x)))
(-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 x) (.f64 #s(literal 1/6 binary64) a)))
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 3 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 3 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))))))
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) a) x))
(.f64 (.f64 (neg.f64 a) x) (neg.f64 a))
(.f64 (neg.f64 a) (.f64 (neg.f64 a) x))
(.f64 (.f64 a a) x)
(.f64 (.f64 a x) a)
(.f64 a (.f64 a x))
(.f64 x (.f64 a a))

eval58.0ms (1%)

Memory: -7.4MiB live, 82.0MiB allocated; 9ms collecting garbage
Compiler: Compiled 19 589 to 2 036 computations (89.6% saved)

prune22.0ms (0.4%)

Memory

-18.0MiB live, 39.3MiB allocated; 6ms collecting garbage

Pruning

19 alts after pruning (9 fresh and 10 done)

	Pruned	Kept	Total
New	469	5	474
Fresh	1	4	5
Picked	1	4	5
Done	1	6	7
Total	472	19	491

Accuracy

100.0%

Counts

491 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.8%	(-.f64 (sqrt.f64 (exp.f64 (*.f64 x (+.f64 a a)))) #s(literal 1 binary64))
✓	21.7%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	22.7%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	4.5%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (*.f64 a a) x) x))) #s(literal 1 binary64))
	4.5%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 a (.f64 a (*.f64 x x))))) #s(literal 1 binary64))
✓	21.0%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
	71.8%	#s(approx (- (exp (* x a)) 1) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) x) a (*.f64 a x)))
	28.2%	#s(approx (- (exp (* x a)) 1) (/.f64 (*.f64 a x) #s(literal 4 binary64)))
✓	71.8%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a))
	70.7%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 #s(approx (+ ( (* 1/6 a) x) 1/2) #s(literal 1/2 binary64)) x) x) a))
✓	70.2%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 a x) a a) x))
	70.2%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 a x #s(literal 1 binary64)) (.f64 a x)))
✓	29.0%	#s(approx (- (exp (* x a)) 1) (*.f64 (+.f64 x x) a))
	21.9%	#s(approx (- (exp (* x a)) 1) (.f64 (.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) x)) a))
	29.0%	#s(approx (- (exp (* x a)) 1) (.f64 (.f64 a x) #s(literal 1/2 binary64)))
	70.7%	#s(approx (- (exp (* x a)) 1) (.f64 #s(approx (+ ( (* (* a a) x) 1/2) a) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a)) x))
✓	71.4%	#s(approx (- (exp (* x a)) 1) (*.f64 a x))
	28.4%	#s(approx (- (exp (* x a)) 1) #s(approx (+ (* (+ x x) a) (* a x)) (.f64 (.f64 #s(literal 3 binary64) x) a)))

Compiler

Compiled 863 to 382 computations (55.7% saved)

regimes38.0ms (0.6%)

Memory

1.4MiB live, 47.2MiB allocated; 3ms collecting garbage

Counts

31 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
#s(approx (- (exp (* x a)) 1) (*.f64 (+.f64 x x) a))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* x a)) 1) #s(approx (+ (* (+ x x) a) (* a x)) (.f64 (.f64 #s(literal 3 binary64) x) a)))
#s(approx (- (exp (* x a)) 1) (.f64 (.f64 a x) #s(literal 1/2 binary64)))
#s(approx (- (exp (* x a)) 1) (fma.f64 (+.f64 x x) a (*.f64 a x)))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 a x #s(literal 1 binary64)) (.f64 a x)))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 a x) a a) x))
#s(approx (- (exp (* x a)) 1) (/.f64 (*.f64 a x) #s(literal 4 binary64)))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 a (.f64 a (*.f64 x x))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (*.f64 a a) x) x))) #s(literal 1 binary64))
#s(approx (- (exp (* x a)) 1) (.f64 (.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) x)) a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* x a)) 1) (.f64 #s(approx (+ ( (* (* a a) x) 1/2) a) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a)) x))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 #s(approx (+ ( (* 1/6 a) x) 1/2) #s(literal 1/2 binary64)) x) x) a))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (sqrt (pow (exp 2) (* x a))) 1) (.f64 (fma.f64 (.f64 (fma.f64 x x #s(literal 0 binary64)) a) #s(literal 1/2 binary64) x) a))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 #s(approx (+ (* (* 1/2 a) x) 1) (.f64 #s(literal 1/2 binary64) (.f64 a x))) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x) a))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a))) #s(literal 1 binary64))
#s(approx (- (exp (* x a)) 1) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) x) a (*.f64 a x)))
(expm1.f64 (*.f64 x a))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (sqrt.f64 (exp.f64 (*.f64 x (+.f64 a a)))) #s(literal 1 binary64))
(-.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a))) #s(literal 1 binary64))

Outputs
(expm1.f64 (*.f64 x a))

Calls

5 calls:

9.0ms	(*.f64 a x)
8.0ms	x
8.0ms	a
6.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
6.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
100.0%	1	`(*.f64 a x)`
100.0%	1	`(exp.f64 (*.f64 a x))`
100.0%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
100.0%	1	`a`
100.0%	1	`x`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes32.0ms (0.5%)

Memory

39.8MiB live, 39.8MiB allocated; 0ms collecting garbage

Counts

27 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
#s(approx (- (exp (* x a)) 1) (*.f64 (+.f64 x x) a))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* x a)) 1) #s(approx (+ (* (+ x x) a) (* a x)) (.f64 (.f64 #s(literal 3 binary64) x) a)))
#s(approx (- (exp (* x a)) 1) (.f64 (.f64 a x) #s(literal 1/2 binary64)))
#s(approx (- (exp (* x a)) 1) (fma.f64 (+.f64 x x) a (*.f64 a x)))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 a x #s(literal 1 binary64)) (.f64 a x)))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 a x) a a) x))
#s(approx (- (exp (* x a)) 1) (/.f64 (*.f64 a x) #s(literal 4 binary64)))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 a (.f64 a (*.f64 x x))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (*.f64 a a) x) x))) #s(literal 1 binary64))
#s(approx (- (exp (* x a)) 1) (.f64 (.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) x)) a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* x a)) 1) (.f64 #s(approx (+ ( (* (* a a) x) 1/2) a) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a)) x))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 #s(approx (+ ( (* 1/6 a) x) 1/2) #s(literal 1/2 binary64)) x) x) a))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (sqrt (pow (exp 2) (* x a))) 1) (.f64 (fma.f64 (.f64 (fma.f64 x x #s(literal 0 binary64)) a) #s(literal 1/2 binary64) x) a))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 #s(approx (+ (* (* 1/2 a) x) 1) (.f64 #s(literal 1/2 binary64) (.f64 a x))) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x) a))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a))) #s(literal 1 binary64))
#s(approx (- (exp (* x a)) 1) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) x) a (*.f64 a x)))

Outputs
#s(approx (- (exp (* x a)) 1) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) x) a (*.f64 a x)))

Calls

5 calls:

7.0ms	x
7.0ms	a
6.0ms	(*.f64 a x)
5.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
5.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
71.8%	1	`(*.f64 a x)`
71.8%	1	`(exp.f64 (*.f64 a x))`
71.8%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
71.8%	1	`a`
71.8%	1	`x`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes32.0ms (0.6%)

Memory

-7.5MiB live, 38.5MiB allocated; 2ms collecting garbage

Counts

26 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
#s(approx (- (exp (* x a)) 1) (*.f64 (+.f64 x x) a))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* x a)) 1) #s(approx (+ (* (+ x x) a) (* a x)) (.f64 (.f64 #s(literal 3 binary64) x) a)))
#s(approx (- (exp (* x a)) 1) (.f64 (.f64 a x) #s(literal 1/2 binary64)))
#s(approx (- (exp (* x a)) 1) (fma.f64 (+.f64 x x) a (*.f64 a x)))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 a x #s(literal 1 binary64)) (.f64 a x)))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 a x) a a) x))
#s(approx (- (exp (* x a)) 1) (/.f64 (*.f64 a x) #s(literal 4 binary64)))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 a (.f64 a (*.f64 x x))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (*.f64 a a) x) x))) #s(literal 1 binary64))
#s(approx (- (exp (* x a)) 1) (.f64 (.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) x)) a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* x a)) 1) (.f64 #s(approx (+ ( (* (* a a) x) 1/2) a) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a)) x))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 #s(approx (+ ( (* 1/6 a) x) 1/2) #s(literal 1/2 binary64)) x) x) a))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (sqrt (pow (exp 2) (* x a))) 1) (.f64 (fma.f64 (.f64 (fma.f64 x x #s(literal 0 binary64)) a) #s(literal 1/2 binary64) x) a))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 #s(approx (+ (* (* 1/2 a) x) 1) (.f64 #s(literal 1/2 binary64) (.f64 a x))) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x) a))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a))) #s(literal 1 binary64))

Outputs
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a))

Calls

5 calls:

8.0ms	x
7.0ms	a
6.0ms	(*.f64 a x)
5.0ms	(exp.f64 (*.f64 a x))
5.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
71.8%	1	`(*.f64 a x)`
71.8%	1	`(exp.f64 (*.f64 a x))`
71.8%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
71.8%	1	`a`
71.8%	1	`x`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes29.0ms (0.5%)

Memory

-13.5MiB live, 32.5MiB allocated; 2ms collecting garbage

Counts

23 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
#s(approx (- (exp (* x a)) 1) (*.f64 (+.f64 x x) a))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* x a)) 1) #s(approx (+ (* (+ x x) a) (* a x)) (.f64 (.f64 #s(literal 3 binary64) x) a)))
#s(approx (- (exp (* x a)) 1) (.f64 (.f64 a x) #s(literal 1/2 binary64)))
#s(approx (- (exp (* x a)) 1) (fma.f64 (+.f64 x x) a (*.f64 a x)))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 a x #s(literal 1 binary64)) (.f64 a x)))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 a x) a a) x))
#s(approx (- (exp (* x a)) 1) (/.f64 (*.f64 a x) #s(literal 4 binary64)))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 a (.f64 a (*.f64 x x))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (*.f64 a a) x) x))) #s(literal 1 binary64))
#s(approx (- (exp (* x a)) 1) (.f64 (.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) x)) a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* x a)) 1) (.f64 #s(approx (+ ( (* (* a a) x) 1/2) a) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a)) x))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 #s(approx (+ ( (* 1/6 a) x) 1/2) #s(literal 1/2 binary64)) x) x) a))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (sqrt (pow (exp 2) (* x a))) 1) (.f64 (fma.f64 (.f64 (fma.f64 x x #s(literal 0 binary64)) a) #s(literal 1/2 binary64) x) a))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 #s(approx (+ (* (* 1/2 a) x) 1) (.f64 #s(literal 1/2 binary64) (.f64 a x))) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x) a))

Outputs
#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Calls

5 calls:

8.0ms	a
6.0ms	x
6.0ms	(*.f64 a x)
5.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
4.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
71.4%	1	`(*.f64 a x)`
71.4%	1	`(exp.f64 (*.f64 a x))`
71.4%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
71.4%	1	`a`
71.4%	1	`x`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes5.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))

Outputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))

Calls

5 calls:

1.0ms	a
1.0ms	x
1.0ms	(*.f64 a x)
1.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
1.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
21.0%	1	`(*.f64 a x)`
21.0%	1	`(exp.f64 (*.f64 a x))`
21.0%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
21.0%	1	`x`
21.0%	1	`a`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

simplify47.0ms (0.8%)

Memory

-4.1MiB live, 44.4MiB allocated; 6ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	68
1	43	68
2	63	68
3	109	68
4	295	68
5	2120	68
6	5420	68

Stop Event

1×	node limit

Calls

Call 1

Inputs
(expm1.f64 (*.f64 x a))
#s(approx (- (exp (* x a)) 1) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) x) a (*.f64 a x)))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a))
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))

Outputs
(expm1.f64 (*.f64 x a))
#s(approx (- (exp (* x a)) 1) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) x) a (*.f64 a x)))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a))
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
#s(approx (- (exp (* x a)) 1) (*.f64 x a))
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))

derivations719.0ms (12.3%)

Memory

44.2MiB live, 503.9MiB allocated; 112ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	233
0	60	230
1	229	230
2	1659	198
0	9293	181
0	63	201
1	236	201
2	889	193
3	3196	193
4	5768	193
0	8321	168
0	36	221
0	54	221
1	211	211
2	1493	211
0	8210	195
0	6	13
0	9	13
1	31	13
2	177	13
3	1792	13
0	8079	11
0	215	870
1	792	870
2	3000	770
0	8362	674

Stop Event

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

Compiler

Compiled 68 to 27 computations (60.3% saved)

preprocess64.0ms (1.1%)

Memory: -22.9MiB live, 78.8MiB allocated; 8ms collecting garbage
Remove: (sort a x)
Compiler: Compiled 172 to 90 computations (47.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze51.0ms (0.9%)

sample694.0ms (11.9%)

explain239.0ms (4.1%)

preprocess261.0ms (4.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify116.0ms (2%)

localize18.0ms (0.3%)

series4.0ms (0.1%)

simplify265.0ms (4.5%)

rewrite298.0ms (5.1%)

eval69.0ms (1.2%)

prune44.0ms (0.8%)

simplify172.0ms (2.9%)

localize191.0ms (3.3%)

series14.0ms (0.2%)

simplify150.0ms (2.6%)

rewrite270.0ms (4.6%)

eval95.0ms (1.6%)

prune17.0ms (0.3%)

simplify198.0ms (3.4%)

localize536.0ms (9.2%)

series24.0ms (0.4%)

simplify148.0ms (2.5%)

rewrite151.0ms (2.6%)

eval115.0ms (2%)

prune28.0ms (0.5%)

simplify148.0ms (2.5%)

localize103.0ms (1.8%)

series16.0ms (0.3%)

simplify195.0ms (3.3%)

rewrite165.0ms (2.8%)

eval58.0ms (1%)

prune22.0ms (0.4%)

regimes38.0ms (0.6%)

regimes32.0ms (0.5%)

regimes32.0ms (0.6%)

regimes29.0ms (0.5%)

regimes5.0ms (0.1%)

simplify47.0ms (0.8%)

derivations719.0ms (12.3%)

preprocess64.0ms (1.1%)

end0.0ms (0%)

Profiling