Metrics for expax (section 3.5)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze17.0ms (0.3%)

Memory

13.6MiB live, 13.6MiB allocated

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)

sample795.0ms (13.8%)

Memory

-14.7MiB live, 729.0MiB allocated

Samples

523.0ms	8 256×	0	valid
15.0ms	362×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 304.0ms

ival-mult: 172.0ms (56.5% of total)

ival->: 68.0ms (22.3% of total)

ival-expm1: 52.0ms (17.1% of total)

exact: 6.0ms (2% of total)

ival-assert: 3.0ms (1% of total)

adjust: 2.0ms (0.7% of total)

Bogosity

explain94.0ms (1.6%)

Memory

-11.4MiB live, 89.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
140	-	-	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
0	-	-	`a`
0	-	-	`(exp.f64 (*.f64 a x))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(*.f64 a x)`
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 -
+	140	0
-	0	116

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	140	0	0
-	0	0	116

Precision?

1.0

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

24.0ms

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 (34.7% of total)

ival-mult: 4.0ms (34.7% of total)

ival-expm1: 3.0ms (26% 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)

preprocess149.0ms (2.6%)

Memory

34.5MiB live, 123.7MiB allocated

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: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.6%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Compiler

Compiled 6 to 6 computations (0% saved)

simplify132.0ms (2.3%)

Memory

6.5MiB live, 103.7MiB allocated

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)

localize26.0ms (0.5%)

Memory

-22.7MiB live, 22.2MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 a x)
accuracy	0.00390625	(exp.f64 (*.f64 a x))
accuracy	31.603601705395345	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Samples

21.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-expm1: 11.0ms (72.1% of total)

ival-exp: 2.0ms (13.1% of total)

ival-mult: 2.0ms (13.1% 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

5.1MiB live, 5.1MiB allocated

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))
0.0ms	a	@	inf	((- (exp (* a x)) 1) (exp (* a x)) (* a x))
0.0ms	x	@	-inf	((- (exp (* a x)) 1) (exp (* a x)) (* a x))
0.0ms	x	@	inf	((- (exp (* a x)) 1) (exp (* a x)) (* a x))

simplify487.0ms (8.5%)

Memory

-7.8MiB live, 228.2MiB allocated

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))

rewrite202.0ms (3.5%)

Memory

32.0MiB live, 133.6MiB allocated

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))))
(.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 (expm1.f64 (.f64 x a)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))))
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(/.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))

eval77.0ms (1.3%)

Memory: 7.4MiB live, 53.0MiB allocated
Compiler: Compiled 12 018 to 1 184 computations (90.1% saved)

prune13.0ms (0.2%)

Memory

-25.4MiB live, 19.6MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	388	7	395
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	389	7	396

Accuracy

100.0%

Counts

396 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	22.6%	(-.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))
▶	23.5%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
▶	21.7%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	100.0%	(expm1.f64 (*.f64 x a))
	69.6%	#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))
▶	68.2%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
▶	72.2%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 180 to 132 computations (26.7% saved)

simplify194.0ms (3.4%)

Memory

-11.5MiB live, 85.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
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 (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
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	(*.f64 x a)
cost-diff	0	#s(approx (- (exp (* a x)) 1) (*.f64 x a))
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	20	112
0	31	108
1	57	108
2	132	108
3	385	108
4	1103	108
5	3177	108
6	5759	108
0	9306	108

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

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

localize38.0ms (0.7%)

Memory

34.3MiB live, 34.3MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a)
accuracy	0.7460244970140574	(.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)
accuracy	6.810508615842508	(.f64 (.f64 a a) x)
accuracy	18.02782524515038	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
accuracy	0.0	(fma.f64 x a #s(literal 1 binary64))
accuracy	17.865158524760414	#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))
accuracy	31.603601705395345	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	0.0	(*.f64 x a)
accuracy	17.78369334173952	#s(approx (- (exp (* a x)) 1) (*.f64 x a))
accuracy	18.09256894235724	#s(approx (exp (* a x)) #s(literal 1 binary64))
accuracy	31.603601705395345	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	0.0	(*.f64 x a)
accuracy	0.015625	(expm1.f64 (*.f64 x a))

Samples

28.0ms

256×

valid

Compiler

Compiled 90 to 17 computations (81.1% saved)

Precisions

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

ival-mult: 9.0ms (53.7% of total)

ival-expm1: 3.0ms (17.9% of total)

ival-exp: 2.0ms (11.9% of total)

ival-add: 2.0ms (11.9% 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)

series20.0ms (0.4%)

Memory

-38.2MiB live, 7.4MiB allocated

Counts

12 → 30

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

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)))))))
a
(* a (+ 1 (* 1/2 (* a x))))
(* (pow a 2) x)
(- (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)))
(* 1/2 (* (pow a 2) x))
(* (pow a 2) (+ (* 1/2 x) (/ 1 a)))
(* -1 (* a (- (* -1 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)))))))
(+ a (* 1/2 (* (pow a 2) x)))
(* x (+ a (/ 1 x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* x (+ (* 1/2 (pow a 2)) (/ a x)))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))

Calls

6 calls:

Time	Variable		Point	Expression
13.0ms	x	@	-inf	((- (exp (* x a)) 1) (* x a) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x))
2.0ms	a	@	inf	((- (exp (* x a)) 1) (* x a) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x))
1.0ms	a	@	-inf	((- (exp (* x a)) 1) (* x a) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x))
1.0ms	x	@	inf	((- (exp (* x a)) 1) (* x a) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x))
1.0ms	x	@	0	((- (exp (* x a)) 1) (* x a) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x))

simplify165.0ms (2.9%)

Memory

50.2MiB live, 185.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	318
1	358	318
2	1231	310
3	5315	310
0	8597	276

Stop Event

1×	iter limit
1×	node limit

Counts

30 → 29

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)))))))
a
(* a (+ 1 (* 1/2 (* a x))))
(* (pow a 2) x)
(- (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)))
(* 1/2 (* (pow a 2) x))
(* (pow a 2) (+ (* 1/2 x) (/ 1 a)))
(* -1 (* a (- (* -1 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)))))))
(+ a (* 1/2 (* (pow a 2) x)))
(* x (+ a (/ 1 x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* x (+ (* 1/2 (pow a 2)) (/ a x)))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))

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

rewrite298.0ms (5.2%)

Memory

-19.9MiB live, 302.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	95
0	31	91
1	127	91
2	780	91
3	7889	91
0	8204	91

Stop Event

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

Counts

12 → 323

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

Outputs
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (*.f64 a x))) (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x)))
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) (+.f64 (pow.f64 (exp.f64 a) (.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (exp.f64 a) x) (expm1.f64 (*.f64 a x)) #s(literal 1 binary64)))
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 3 binary64) (.f64 a x))) (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (*.f64 a x))) (pow.f64 (exp.f64 a) x)))
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 3 binary64) (*.f64 a x))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 6 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x)) (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x)) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 4 binary64))))
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 a x)))) (expm1.f64 (.f64 a x)))
(.f64 (+.f64 (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (expm1.f64 (.f64 a (/.f64 x #s(literal 2 binary64)))))
(.f64 (+.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) #s(literal 1 binary64)) (expm1.f64 (.f64 x (/.f64 a #s(literal 2 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x))) (expm1.f64 (.f64 a x)))
(.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x)) (/.f64 (expm1.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x))) (/.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x)))) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x))) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (exp.f64 a) (.f64 #s(literal 3 binary64) x)) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64))) (/.f64 (pow.f64 (exp.f64 a) (.f64 #s(literal 3 binary64) x)) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)))) (.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 3 binary64) x)) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (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) (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))))
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(fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) x)) (/.f64 (.f64 (.f64 a a) x) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) a)) (/.f64 (.f64 (neg.f64 a) a) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) a)))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (pow.f64 a #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) a)) (/.f64 (.f64 (neg.f64 a) a) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) a)))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (.f64 (.f64 a a) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) a)) (/.f64 (.f64 (neg.f64 a) a) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) x)) a)))
(fma.f64 (pow.f64 (.f64 (.f64 a a) x) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) a)) (/.f64 (.f64 (neg.f64 a) a) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) x)) a)))
(fma.f64 (pow.f64 a #s(literal 3/2 binary64)) (/.f64 (pow.f64 a #s(literal 3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 a a) x) #s(literal 2 binary64)) (fma.f64 a a (.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 a #s(literal 3 binary64))))))) (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 a a) x) #s(literal 2 binary64)) (fma.f64 a a (.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 a #s(literal 3 binary64))))))))
(fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) #s(literal 3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 a a) x) #s(literal 2 binary64)) (fma.f64 a a (.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 a #s(literal 3 binary64))))))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 a a) x) #s(literal 2 binary64)) (fma.f64 a a (.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 a #s(literal 3 binary64))))))))
(fma.f64 (pow.f64 a #s(literal 4 binary64)) (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) a)) (/.f64 (.f64 (neg.f64 a) a) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) a)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 a a) x)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 a a) x)) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) a)) (/.f64 (.f64 (neg.f64 a) a) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) x)) a)))
(fma.f64 (fabs.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 a a) x))) (/.f64 (fabs.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 a a) x))) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) a)) (/.f64 (.f64 (neg.f64 a) a) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) x)) a)))
(fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (.f64 (.f64 a a) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 a a) x) #s(literal 2 binary64)) (fma.f64 a a (.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 a #s(literal 3 binary64))))))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 a a) x) #s(literal 2 binary64)) (fma.f64 a a (.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 a #s(literal 3 binary64))))))))
(fma.f64 (pow.f64 (.f64 (.f64 a a) x) #s(literal 3 binary64)) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 a a) x) #s(literal 2 binary64)) (fma.f64 a a (.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 a #s(literal 3 binary64))))))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 a a) x) #s(literal 2 binary64)) (fma.f64 a a (.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 a #s(literal 3 binary64))))))))
(fma.f64 (pow.f64 a #s(literal 6 binary64)) (/.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 a a) x) #s(literal 2 binary64)) (fma.f64 a a (.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 a #s(literal 3 binary64))))))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 a a) x) #s(literal 2 binary64)) (fma.f64 a a (.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 a #s(literal 3 binary64))))))))
(fma.f64 (.f64 (neg.f64 a) x) (.f64 (neg.f64 a) #s(literal 1/2 binary64)) a)
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 a a) a)
(fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 a a) x) #s(literal 2 binary64)) (fma.f64 a a (.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 a #s(literal 3 binary64))))))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 a a) x) #s(literal 2 binary64)) (fma.f64 a a (.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 a #s(literal 3 binary64))))))))
(fma.f64 (neg.f64 a) (.f64 (.f64 (neg.f64 a) x) #s(literal 1/2 binary64)) a)
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) a)) (/.f64 (.f64 (neg.f64 a) a) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) x)) a)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 a a) x) #s(literal 2 binary64)) (fma.f64 a a (.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 a #s(literal 3 binary64))))))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 a a) x) #s(literal 2 binary64)) (fma.f64 a a (.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 a #s(literal 3 binary64))))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) x)) #s(literal 1 binary64) a)
(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 (.f64 (.f64 a a) x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) a)) (/.f64 (.f64 (neg.f64 a) a) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) a)))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x) a)
(fma.f64 (.f64 (.f64 a a) x) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) x)) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) a)) (/.f64 (.f64 (neg.f64 a) a) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) a)))
(fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a)
(fma.f64 (.f64 a a) (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) x)) x) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) a)) (/.f64 (.f64 (neg.f64 a) a) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) a)))
(fma.f64 (.f64 a a) (/.f64 a (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 a a) x) #s(literal 2 binary64)) (fma.f64 a a (.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 a #s(literal 3 binary64))))))) (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 a a) x) #s(literal 2 binary64)) (fma.f64 a a (.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 a #s(literal 3 binary64))))))))
(fma.f64 (.f64 a a) (.f64 #s(literal 1/2 binary64) x) a)
(fma.f64 #s(literal 1 binary64) a (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) x)))
(fma.f64 (.f64 a x) (.f64 #s(literal 1/2 binary64) a) a)
(fma.f64 a (/.f64 (.f64 a a) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 a a) x) #s(literal 2 binary64)) (fma.f64 a a (.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 a #s(literal 3 binary64))))))) (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 a a) x) #s(literal 2 binary64)) (fma.f64 a a (.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 a #s(literal 3 binary64))))))))
(fma.f64 a (.f64 (.f64 #s(literal 1/2 binary64) a) x) a)
(fma.f64 a #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) x)))
(fma.f64 x (.f64 (.f64 #s(literal 1/2 binary64) a) a) a)
(-.f64 (/.f64 (.f64 a a) (-.f64 a (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)))) (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) #s(literal 2 binary64)) (-.f64 a (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)))))
(-.f64 (.f64 (pow.f64 (.f64 (.f64 a a) x) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) a))) (.f64 a (/.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) a))))
(-.f64 a (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 a a) x)))
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 a a) x) #s(literal 2 binary64)) (fma.f64 a a (.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 a #s(literal 3 binary64))))))) (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 a a) x) #s(literal 2 binary64)) (fma.f64 a a (.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 a #s(literal 3 binary64))))))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 a a) x) #s(literal 2 binary64)) (fma.f64 a a (.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 a #s(literal 3 binary64))))))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 a a) x) #s(literal 2 binary64)) (fma.f64 a a (.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 a #s(literal 3 binary64))))))))
(+.f64 (.f64 (pow.f64 (.f64 (.f64 a a) x) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) a))) (/.f64 (.f64 (neg.f64 a) a) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) a)))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) x)) a)
(+.f64 a (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) x)))
(.f64 (.f64 (neg.f64 a) x) (neg.f64 a))
(.f64 (neg.f64 a) (.f64 (neg.f64 a) x))
(.f64 (.f64 (*.f64 a a) x) #s(literal 1 binary64))
(.f64 (.f64 a a) x)
(.f64 #s(literal 1 binary64) (.f64 (*.f64 a a) x))
(.f64 (.f64 a x) a)
(.f64 a (.f64 a x))
(.f64 x (.f64 a a))
(neg.f64 (.f64 (.f64 (neg.f64 a) x) a))

eval81.0ms (1.4%)

Memory: 12.6MiB live, 67.9MiB allocated
Compiler: Compiled 13 348 to 1 400 computations (89.5% saved)

prune39.0ms (0.7%)

Memory

-26.7MiB live, 21.5MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	351	4	355
Fresh	1	1	2
Picked	1	4	5
Done	0	0	0
Total	353	9	362

Accuracy

100.0%

Counts

362 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	22.6%	(-.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))
✓	23.5%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
▶	21.4%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a))))) #s(literal 1 binary64))
✓	21.7%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
▶	69.6%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x) a))
▶	68.8%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
▶	71.8%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
✓	72.2%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 225 to 161 computations (28.4% saved)

simplify210.0ms (3.6%)

Memory

35.0MiB live, 173.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	311
0	70	311
1	137	311
2	372	311
3	1342	311
4	3509	311
5	6833	311
0	8593	302

Stop Event

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

Calls

Call 1

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

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

localize90.0ms (1.6%)

Memory

-0.8MiB live, 90.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.5112048549144307	(.f64 (.f64 x x) (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
accuracy	1.4265639573195723	(.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x) a)
accuracy	3.186708970397125	(fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x)
accuracy	17.42656515876514	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x) a))
accuracy	0.017910009768442016	(-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a))
accuracy	0.11328125	(*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a)))
accuracy	17.865158524760414	#s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a)))))
accuracy	31.603601705395345	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a))))) #s(literal 1 binary64))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) a)
accuracy	0.05078125	(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64))
accuracy	17.754784890151683	#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	31.603601705395345	(-.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	0.010097509768442016	(fma.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64) x)
accuracy	1.192026769968235	(.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a)
accuracy	6.523292806658796	(.f64 (.f64 x x) a)
accuracy	18.02782524515038	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
accuracy	0.0078125	(fma.f64 (.f64 (.f64 a x) a) #s(literal 1/2 binary64) a)
accuracy	0.1328125	(.f64 (.f64 a x) a)
accuracy	0.7460244970140574	(.f64 (fma.f64 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x)
accuracy	18.02782524515038	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))

Samples

66.0ms

256×

valid

Compiler

Compiled 222 to 38 computations (82.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 25.0ms (51.7% of total)

ival-add: 9.0ms (18.6% of total)

ival-expm1: 3.0ms (6.2% of total)

const: 3.0ms (6.2% of total)

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

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

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

ival-sub: 1.0ms (2.1% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series26.0ms (0.5%)

Memory

-19.7MiB live, 25.1MiB allocated

Counts

22 → 82

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	((- (exp (* a x)) 1) (* (+ (* (* (* a x) a) 1/2) a) x) (+ (* (* (* a x) a) 1/2) a) (* (* a x) a) (- (exp (* x a)) 1) (* (+ (* (* (* x x) a) 1/2) x) a) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (+ (* (* 1/2 a) x) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg a) (- (neg x) (/ 1 a))) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* a x) 1/6) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* a x) 1/6) 1/2)) a) x) (* (* x x) (+ (* (* a x) 1/6) 1/2)) (* 1/2 a) (- (neg x) (/ 1 a)))
4.0ms	x	@	0	((- (exp (* a x)) 1) (* (+ (* (* (* a x) a) 1/2) a) x) (+ (* (* (* a x) a) 1/2) a) (* (* a x) a) (- (exp (* x a)) 1) (* (+ (* (* (* x x) a) 1/2) x) a) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (+ (* (* 1/2 a) x) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg a) (- (neg x) (/ 1 a))) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* a x) 1/6) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* a x) 1/6) 1/2)) a) x) (* (* x x) (+ (* (* a x) 1/6) 1/2)) (* 1/2 a) (- (neg x) (/ 1 a)))
4.0ms	a	@	0	((- (exp (* a x)) 1) (* (+ (* (* (* a x) a) 1/2) a) x) (+ (* (* (* a x) a) 1/2) a) (* (* a x) a) (- (exp (* x a)) 1) (* (+ (* (* (* x x) a) 1/2) x) a) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (+ (* (* 1/2 a) x) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg a) (- (neg x) (/ 1 a))) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* a x) 1/6) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* a x) 1/6) 1/2)) a) x) (* (* x x) (+ (* (* a x) 1/6) 1/2)) (* 1/2 a) (- (neg x) (/ 1 a)))
4.0ms	a	@	-inf	((- (exp (* a x)) 1) (* (+ (* (* (* a x) a) 1/2) a) x) (+ (* (* (* a x) a) 1/2) a) (* (* a x) a) (- (exp (* x a)) 1) (* (+ (* (* (* x x) a) 1/2) x) a) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (+ (* (* 1/2 a) x) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg a) (- (neg x) (/ 1 a))) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* a x) 1/6) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* a x) 1/6) 1/2)) a) x) (* (* x x) (+ (* (* a x) 1/6) 1/2)) (* 1/2 a) (- (neg x) (/ 1 a)))
3.0ms	a	@	inf	((- (exp (* a x)) 1) (* (+ (* (* (* a x) a) 1/2) a) x) (+ (* (* (* a x) a) 1/2) a) (* (* a x) a) (- (exp (* x a)) 1) (* (+ (* (* (* x x) a) 1/2) x) a) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (+ (* (* 1/2 a) x) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg a) (- (neg x) (/ 1 a))) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* a x) 1/6) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* a x) 1/6) 1/2)) a) x) (* (* x x) (+ (* (* a x) 1/6) 1/2)) (* 1/2 a) (- (neg x) (/ 1 a)))

simplify224.0ms (3.9%)

Memory

51.3MiB live, 185.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	227	947
1	859	911
2	3350	876
0	9244	797

Stop Event

1×	iter limit
1×	node limit

Counts

82 → 80

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

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

rewrite297.0ms (5.2%)

Memory

-29.7MiB live, 205.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	266
0	70	266
1	278	266
2	1896	266
0	8420	257

Stop Event

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

Counts

22 → 389

Calls

Call 1

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

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

eval73.0ms (1.3%)

Memory: 7.6MiB live, 107.4MiB allocated
Compiler: Compiled 16 806 to 1 903 computations (88.7% saved)

prune15.0ms (0.3%)

Memory

-8.2MiB live, 38.1MiB allocated

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	429	7	436
Fresh	0	0	0
Picked	2	3	5
Done	0	4	4
Total	431	14	445

Accuracy

100.0%

Counts

445 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	22.6%	(-.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))
✓	23.5%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
	8.6%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) a) x) (neg.f64 a))) a) a))) #s(literal 1 binary64))
▶	21.4%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (/.f64 #s(literal -1 binary64) a) x)))) #s(literal 1 binary64))
▶	20.1%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) #s(approx (- (neg x) (/ 1 a)) (/.f64 #s(literal -1 binary64) a))))) #s(literal 1 binary64))
✓	21.7%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
▶	68.8%	#s(approx (- (exp (* x a)) 1) (fma.f64 (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64)) a (.f64 x a)))
▶	69.2%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) a) (.f64 #s(literal 1/6 binary64) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a))
✓	68.8%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
▶	72.7%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 x a) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) x) x) a))
	52.2%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64))) a))
✓	71.8%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
✓	72.2%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 431 to 299 computations (30.6% saved)

simplify196.0ms (3.4%)

Memory

19.6MiB live, 203.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (fma.f64 (.f64 (.f64 x x) a) (.f64 #s(literal 1/6 binary64) x) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x)
cost-diff	0	(.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) a) (.f64 #s(literal 1/6 binary64) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a)
cost-diff	0	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) a) (.f64 #s(literal 1/6 binary64) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a))
cost-diff	4	(fma.f64 (.f64 (.f64 x x) a) (.f64 #s(literal 1/6 binary64) x) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
cost-diff	0	(.f64 (.f64 x x) a)
cost-diff	0	(.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (- (exp (* x a)) 1) (fma.f64 (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64)) a (.f64 x a)))
cost-diff	2	(fma.f64 (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64)) a (.f64 x a))
cost-diff	0	(*.f64 (neg.f64 a) (-.f64 (/.f64 #s(literal -1 binary64) a) x))
cost-diff	0	#s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (/.f64 #s(literal -1 binary64) a) x)))
cost-diff	0	#s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (/.f64 #s(literal -1 binary64) a) x))))
cost-diff	0	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (/.f64 #s(literal -1 binary64) a) x)))) #s(literal 1 binary64))
cost-diff	0	(*.f64 (neg.f64 a) #s(approx (- (neg x) (/ 1 a)) (/.f64 #s(literal -1 binary64) a)))
cost-diff	0	#s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) #s(approx (- (neg x) (/ 1 a)) (/.f64 #s(literal -1 binary64) a))))
cost-diff	0	#s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) #s(approx (- (neg x) (/ 1 a)) (/.f64 #s(literal -1 binary64) a)))))
cost-diff	0	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) #s(approx (- (neg x) (/ 1 a)) (/.f64 #s(literal -1 binary64) a))))) #s(literal 1 binary64))
cost-diff	0	(*.f64 x a)
cost-diff	0	(fma.f64 (.f64 x a) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) x) x)
cost-diff	0	(.f64 (fma.f64 (.f64 x a) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) x) x) a)
cost-diff	0	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 x a) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) x) x) a))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	395
0	71	381
1	135	377
2	383	377
3	1349	377
4	3200	377
5	6110	377
0	8505	363

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

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

localize127.0ms (2.2%)

Memory

-13.1MiB live, 134.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	3.186708970397125	(fma.f64 (fma.f64 (.f64 (.f64 x x) a) (.f64 #s(literal 1/6 binary64) x) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x)
accuracy	6.523292806658796	(.f64 (.f64 x x) a)
accuracy	9.291267006138186	(fma.f64 (.f64 (.f64 x x) a) (.f64 #s(literal 1/6 binary64) x) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
accuracy	17.42656515876514	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) a) (.f64 #s(literal 1/6 binary64) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a))
accuracy	0.01171875	(.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64))
accuracy	4.793589269968236	(fma.f64 (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64)) a (.f64 x a))
accuracy	6.523292806658796	(.f64 (.f64 x x) a)
accuracy	18.02782524515038	#s(approx (- (exp (* x a)) 1) (fma.f64 (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64)) a (.f64 x a)))
accuracy	0.017910009768442016	(-.f64 (/.f64 #s(literal -1 binary64) a) x)
accuracy	0.11328125	(*.f64 (neg.f64 a) (-.f64 (/.f64 #s(literal -1 binary64) a) x))
accuracy	17.865158524760414	#s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (/.f64 #s(literal -1 binary64) a) x))))
accuracy	31.603601705395345	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (/.f64 #s(literal -1 binary64) a) x)))) #s(literal 1 binary64))
accuracy	0.11328125	(*.f64 (neg.f64 a) #s(approx (- (neg x) (/ 1 a)) (/.f64 #s(literal -1 binary64) a)))
accuracy	17.865158524760414	#s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) #s(approx (- (neg x) (/ 1 a)) (/.f64 #s(literal -1 binary64) a)))))
accuracy	18.373511928640593	#s(approx (- (neg x) (/ 1 a)) (/.f64 #s(literal -1 binary64) a))
accuracy	31.603601705395345	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) #s(approx (- (neg x) (/ 1 a)) (/.f64 #s(literal -1 binary64) a))))) #s(literal 1 binary64))
accuracy	0.04296875	(.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) x)
accuracy	0.08203125	(fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64))
accuracy	1.4265639573195723	(.f64 (fma.f64 (.f64 x a) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) x) x) a)
accuracy	17.42656515876514	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 x a) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) x) x) a))

Samples

101.0ms

256×

valid

Compiler

Compiled 259 to 40 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 31.0ms (53.6% of total)

ival-div: 7.0ms (12.1% of total)

ival-add: 7.0ms (12.1% of total)

const: 4.0ms (6.9% of total)

ival-expm1: 3.0ms (5.2% of total)

ival-exp: 2.0ms (3.5% of total)

ival-sub: 2.0ms (3.5% of total)

ival-neg: 2.0ms (3.5% of total)

adjust: 0.0ms (0% 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

20.9MiB live, 20.9MiB allocated

Counts

24 → 74

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	a	@	-inf	((- (exp (* x a)) 1) (* (+ (* (* x a) (* (+ (* 1/6 (* x a)) 1/2) x)) x) a) (+ (* (* x a) (* (+ (* 1/6 (* x a)) 1/2) x)) x) (* x a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg a) (- (neg x) (/ 1 a))) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg a) (- (/ -1 a) x)) (+ (* (* (* (* x x) a) 1/2) a) (* x a)) (- (exp (* x a)) 1) (* (* (* x x) a) 1/2) (* (* x x) a) (+ (* (* (* x x) a) (* 1/6 x)) (* (* x x) 1/2)) (- (exp (* x a)) 1) (* (+ (* (+ (* (* (* x x) a) (* 1/6 x)) (* (* x x) 1/2)) a) x) a) (+ (* (+ (* (* (* x x) a) (* 1/6 x)) (* (* x x) 1/2)) a) x) (+ (* 1/6 (* x a)) 1/2) (* (+ (* 1/6 (* x a)) 1/2) x) (- (neg x) (/ 1 a)) (- (/ -1 a) x))
3.0ms	a	@	inf	((- (exp (* x a)) 1) (* (+ (* (* x a) (* (+ (* 1/6 (* x a)) 1/2) x)) x) a) (+ (* (* x a) (* (+ (* 1/6 (* x a)) 1/2) x)) x) (* x a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg a) (- (neg x) (/ 1 a))) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg a) (- (/ -1 a) x)) (+ (* (* (* (* x x) a) 1/2) a) (* x a)) (- (exp (* x a)) 1) (* (* (* x x) a) 1/2) (* (* x x) a) (+ (* (* (* x x) a) (* 1/6 x)) (* (* x x) 1/2)) (- (exp (* x a)) 1) (* (+ (* (+ (* (* (* x x) a) (* 1/6 x)) (* (* x x) 1/2)) a) x) a) (+ (* (+ (* (* (* x x) a) (* 1/6 x)) (* (* x x) 1/2)) a) x) (+ (* 1/6 (* x a)) 1/2) (* (+ (* 1/6 (* x a)) 1/2) x) (- (neg x) (/ 1 a)) (- (/ -1 a) x))
3.0ms	x	@	-inf	((- (exp (* x a)) 1) (* (+ (* (* x a) (* (+ (* 1/6 (* x a)) 1/2) x)) x) a) (+ (* (* x a) (* (+ (* 1/6 (* x a)) 1/2) x)) x) (* x a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg a) (- (neg x) (/ 1 a))) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg a) (- (/ -1 a) x)) (+ (* (* (* (* x x) a) 1/2) a) (* x a)) (- (exp (* x a)) 1) (* (* (* x x) a) 1/2) (* (* x x) a) (+ (* (* (* x x) a) (* 1/6 x)) (* (* x x) 1/2)) (- (exp (* x a)) 1) (* (+ (* (+ (* (* (* x x) a) (* 1/6 x)) (* (* x x) 1/2)) a) x) a) (+ (* (+ (* (* (* x x) a) (* 1/6 x)) (* (* x x) 1/2)) a) x) (+ (* 1/6 (* x a)) 1/2) (* (+ (* 1/6 (* x a)) 1/2) x) (- (neg x) (/ 1 a)) (- (/ -1 a) x))
2.0ms	a	@	0	((- (exp (* x a)) 1) (* (+ (* (* x a) (* (+ (* 1/6 (* x a)) 1/2) x)) x) a) (+ (* (* x a) (* (+ (* 1/6 (* x a)) 1/2) x)) x) (* x a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg a) (- (neg x) (/ 1 a))) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg a) (- (/ -1 a) x)) (+ (* (* (* (* x x) a) 1/2) a) (* x a)) (- (exp (* x a)) 1) (* (* (* x x) a) 1/2) (* (* x x) a) (+ (* (* (* x x) a) (* 1/6 x)) (* (* x x) 1/2)) (- (exp (* x a)) 1) (* (+ (* (+ (* (* (* x x) a) (* 1/6 x)) (* (* x x) 1/2)) a) x) a) (+ (* (+ (* (* (* x x) a) (* 1/6 x)) (* (* x x) 1/2)) a) x) (+ (* 1/6 (* x a)) 1/2) (* (+ (* 1/6 (* x a)) 1/2) x) (- (neg x) (/ 1 a)) (- (/ -1 a) x))
2.0ms	x	@	inf	((- (exp (* x a)) 1) (* (+ (* (* x a) (* (+ (* 1/6 (* x a)) 1/2) x)) x) a) (+ (* (* x a) (* (+ (* 1/6 (* x a)) 1/2) x)) x) (* x a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg a) (- (neg x) (/ 1 a))) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg a) (- (/ -1 a) x)) (+ (* (* (* (* x x) a) 1/2) a) (* x a)) (- (exp (* x a)) 1) (* (* (* x x) a) 1/2) (* (* x x) a) (+ (* (* (* x x) a) (* 1/6 x)) (* (* x x) 1/2)) (- (exp (* x a)) 1) (* (+ (* (+ (* (* (* x x) a) (* 1/6 x)) (* (* x x) 1/2)) a) x) a) (+ (* (+ (* (* (* x x) a) (* 1/6 x)) (* (* x x) 1/2)) a) x) (+ (* 1/6 (* x a)) 1/2) (* (+ (* 1/6 (* x a)) 1/2) x) (- (neg x) (/ 1 a)) (- (/ -1 a) x))

simplify230.0ms (4%)

Memory

-6.7MiB live, 133.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	213	859
1	797	809
2	3107	772
3	7867	772
0	8003	698

Stop Event

1×	iter limit
1×	node limit

Counts

74 → 73

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

rewrite175.0ms (3%)

Memory

15.1MiB live, 149.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	345
0	71	343
1	265	327
2	1942	327
0	9408	313

Stop Event

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

Counts

24 → 449

Calls

Call 1

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

Outputs
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) x) (.f64 a x) x) a))
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) x) (.f64 a x) x) a)
(.f64 a (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) x) (.f64 a x) x))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) x) x) a) a) #s(literal 3 binary64)) (pow.f64 (.f64 a x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) x) x) a) a) (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) x) x) a) a) (-.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) x) x) a) a) (.f64 a x)))))
(/.f64 (+.f64 (pow.f64 (.f64 a (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) x) x) a)) #s(literal 3 binary64)) (pow.f64 (.f64 a x) #s(literal 3 binary64))) (fma.f64 (.f64 a (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) x) x) a)) (.f64 a (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) x) x) a)) (-.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 (.f64 a (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) x) x) a)) (.f64 a x)))))
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(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 a x)))
(-.f64 #s(literal 1/2 binary64) (.f64 (.f64 (neg.f64 x) a) #s(literal 1/6 binary64)))
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64))) (.f64 (.f64 a x) #s(literal 1/12 binary64))))) (/.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64))) (.f64 (.f64 a x) #s(literal 1/12 binary64))))))
(+.f64 (/.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64))) (.f64 (.f64 a x) #s(literal 1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64))) (.f64 (.f64 a x) #s(literal 1/12 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 a x) #s(literal 1/12 binary64))))) (/.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 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 a x) #s(literal 1/12 binary64))))))
(+.f64 (/.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 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 a x) #s(literal 1/12 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 a x) #s(literal 1/12 binary64))))))
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) a) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) x) a))
(.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) x)
(.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) a) x) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) a) x) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) a) x) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) a) x) (.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) a) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) a) x) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) a) x)) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) a) x)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 (.f64 x x) a) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64))))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 (.f64 x x) a) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64)) (.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64))) #s(literal 1/4 binary64)) x)) (neg.f64 (-.f64 (.f64 (*.f64 #s(literal 1/6 binary64) x) a) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) x)) (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 a x) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (.f64 x (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64))) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 (.f64 (*.f64 #s(literal 1/6 binary64) x) a) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (.f64 x (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 a x) #s(literal 1/12 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64))) #s(literal 1/4 binary64)) x) (-.f64 (.f64 (*.f64 #s(literal 1/6 binary64) x) a) #s(literal 1/2 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) x) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 a x) #s(literal 1/12 binary64)))))
(/.f64 (.f64 x (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (-.f64 (.f64 (*.f64 #s(literal 1/6 binary64) x) a) #s(literal 1/2 binary64)))
(/.f64 (.f64 x (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 a x) #s(literal 1/12 binary64)))))
(fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) a) x (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 x x) (.f64 a #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (.f64 (.f64 (*.f64 #s(literal 1/6 binary64) x) a) x))
(fma.f64 #s(literal 1/2 binary64) x (.f64 (.f64 (*.f64 x x) a) #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) a) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 a (.f64 (.f64 x x) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 x (.f64 (.f64 #s(literal 1/6 binary64) x) a) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 #s(literal 1/6 binary64) x) a) x))
(fma.f64 x #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 x x) a) #s(literal 1/6 binary64)))
(+.f64 (.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) a) x) (.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) a) x))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64)))
(+.f64 (.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64)) (.f64 #s(literal 1/2 binary64) x))
#s(approx (- (neg x) (/ 1 a)) (/.f64 #s(literal -1 binary64) a))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1 binary64) a) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (+.f64 (/.f64 #s(literal -1 binary64) a) x) (pow.f64 a #s(literal -2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 a #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) a) x)) (.f64 (+.f64 (/.f64 #s(literal -1 binary64) a) x) (.f64 x x))) (.f64 (+.f64 (/.f64 #s(literal -1 binary64) a) x) (+.f64 (/.f64 #s(literal -1 binary64) a) x)))
(/.f64 (-.f64 (.f64 (pow.f64 a #s(literal -3 binary64)) (fma.f64 x (+.f64 (/.f64 #s(literal -1 binary64) a) x) (pow.f64 a #s(literal -2 binary64)))) (.f64 (fma.f64 x (+.f64 (/.f64 #s(literal -1 binary64) a) x) (pow.f64 a #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x (+.f64 (/.f64 #s(literal -1 binary64) a) x) (pow.f64 a #s(literal -2 binary64))) (fma.f64 x (+.f64 (/.f64 #s(literal -1 binary64) a) x) (pow.f64 a #s(literal -2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (*.f64 x x))) (neg.f64 (+.f64 (/.f64 #s(literal -1 binary64) a) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (+.f64 (/.f64 #s(literal -1 binary64) a) x) (pow.f64 a #s(literal -2 binary64)))))
(/.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (*.f64 x x)) (+.f64 (/.f64 #s(literal -1 binary64) a) x))
(/.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 (/.f64 #s(literal -1 binary64) a) x) (pow.f64 a #s(literal -2 binary64))))
(-.f64 (/.f64 (pow.f64 a #s(literal -3 binary64)) (fma.f64 x (+.f64 (/.f64 #s(literal -1 binary64) a) x) (pow.f64 a #s(literal -2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 (/.f64 #s(literal -1 binary64) a) x) (pow.f64 a #s(literal -2 binary64)))))
(-.f64 (/.f64 (pow.f64 a #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) a) x)) (/.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal -1 binary64) a) x)))
(-.f64 (/.f64 #s(literal -1 binary64) a) x)
(+.f64 (/.f64 (pow.f64 a #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) a) x)) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 (/.f64 #s(literal -1 binary64) a) x)))

eval84.0ms (1.5%)

Memory: 6.7MiB live, 106.2MiB allocated
Compiler: Compiled 21 783 to 2 323 computations (89.3% saved)

prune18.0ms (0.3%)

Memory

-1.4MiB live, 43.7MiB allocated

Pruning

13 alts after pruning (3 fresh and 10 done)

	Pruned	Kept	Total
New	532	1	533
Fresh	0	2	2
Picked	2	3	5
Done	0	7	7
Total	534	13	547

Accuracy

100.0%

Counts

547 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	22.6%	(-.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))
✓	23.5%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
	8.6%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) a) x) (neg.f64 a))) a) a))) #s(literal 1 binary64))
✓	21.4%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (/.f64 #s(literal -1 binary64) a) x)))) #s(literal 1 binary64))
✓	20.1%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) #s(approx (- (neg x) (/ 1 a)) (/.f64 #s(literal -1 binary64) a))))) #s(literal 1 binary64))
✓	21.7%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
✓	68.8%	#s(approx (- (exp (* x a)) 1) (fma.f64 (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64)) a (.f64 x a)))
✓	68.8%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
	72.7%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 x a) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) x) x) a))
	52.2%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64))) a))
✓	71.8%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
✓	72.2%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 601 to 279 computations (53.6% saved)

regimes29.0ms (0.5%)

Memory

-4.2MiB live, 41.1MiB allocated

Counts

20 → 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))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) #s(approx (- (neg x) (/ 1 a)) (/.f64 #s(literal -1 binary64) a))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (/.f64 #s(literal -1 binary64) a) x)))) #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 (* x a)) 1) (fma.f64 (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64)) a (.f64 x a)))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a))))) #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 x a) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) x) x) a))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 x a) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) x) x) a))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x) a))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) a) (.f64 #s(literal 1/6 binary64) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64))) a))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) a) x) (neg.f64 a))) a) a))) #s(literal 1 binary64))
(expm1.f64 (*.f64 x a))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

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

Calls

5 calls:

10.0ms	a
6.0ms	x
5.0ms	(*.f64 a x)
4.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
4.0ms	(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)

regimes26.0ms (0.5%)

Memory

-28.3MiB live, 25.4MiB allocated

Counts

18 → 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))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) #s(approx (- (neg x) (/ 1 a)) (/.f64 #s(literal -1 binary64) a))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (/.f64 #s(literal -1 binary64) a) x)))) #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 (* x a)) 1) (fma.f64 (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64)) a (.f64 x a)))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a))))) #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 x a) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) x) x) a))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 x a) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) x) x) a))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x) a))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) a) (.f64 #s(literal 1/6 binary64) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64))) a))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) a) x) (neg.f64 a))) a) a))) #s(literal 1 binary64))

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
72.7%	1	`(*.f64 a x)`
72.7%	1	`(exp.f64 (*.f64 a x))`
72.7%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
72.7%	1	`a`
72.7%	1	`x`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes17.0ms (0.3%)

Memory

19.5MiB live, 19.5MiB allocated

Counts

12 → 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))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) #s(approx (- (neg x) (/ 1 a)) (/.f64 #s(literal -1 binary64) a))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (/.f64 #s(literal -1 binary64) a) x)))) #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 (* x a)) 1) (fma.f64 (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64)) a (.f64 x a)))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a))))) #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:

4.0ms	a
4.0ms	x
3.0ms	(*.f64 a x)
3.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
3.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
72.2%	1	`(*.f64 a x)`
72.2%	1	`a`
72.2%	1	`x`
72.2%	1	`(exp.f64 (*.f64 a x))`
72.2%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes5.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB allocated

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	x
1.0ms	a
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
21.7%	1	`a`
21.7%	1	`x`
21.7%	1	`(*.f64 a x)`
21.7%	1	`(exp.f64 (*.f64 a x))`
21.7%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

simplify44.0ms (0.8%)

Memory

-10.1MiB live, 35.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	44
1	37	44
2	57	44
3	103	44
4	289	44
5	2107	44
6	5420	44

Stop Event

1×	node limit

Calls

Call 1

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

derivations987.0ms (17.2%)

Memory

-41.1MiB live, 462.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	266
0	70	266
1	278	266
2	1896	266
0	8420	257
0	6	13
0	9	13
1	31	13
2	177	13
3	1792	13
0	8079	11
0	99	318
1	358	318
2	1231	310
3	5315	310
0	8597	276
0	63	201
1	236	201
2	889	193
3	3196	193
4	5768	193
0	8321	168

Stop Event

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

Compiler

Compiled 44 to 21 computations (52.3% saved)

preprocess30.0ms (0.5%)

Memory: 40.7MiB live, 40.7MiB allocated
Remove: (sort a x)
Compiler: Compiled 124 to 78 computations (37.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze17.0ms (0.3%)

sample795.0ms (13.8%)

explain94.0ms (1.6%)

preprocess149.0ms (2.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify132.0ms (2.3%)

localize26.0ms (0.5%)

series4.0ms (0.1%)

simplify487.0ms (8.5%)

rewrite202.0ms (3.5%)

eval77.0ms (1.3%)

prune13.0ms (0.2%)

simplify194.0ms (3.4%)

localize38.0ms (0.7%)

series20.0ms (0.4%)

simplify165.0ms (2.9%)

rewrite298.0ms (5.2%)

eval81.0ms (1.4%)

prune39.0ms (0.7%)

simplify210.0ms (3.6%)

localize90.0ms (1.6%)

series26.0ms (0.5%)

simplify224.0ms (3.9%)

rewrite297.0ms (5.2%)

eval73.0ms (1.3%)

prune15.0ms (0.3%)

simplify196.0ms (3.4%)

localize127.0ms (2.2%)

series16.0ms (0.3%)

simplify230.0ms (4%)

rewrite175.0ms (3%)

eval84.0ms (1.5%)

prune18.0ms (0.3%)

regimes29.0ms (0.5%)

regimes26.0ms (0.5%)

regimes17.0ms (0.3%)

regimes5.0ms (0.1%)

simplify44.0ms (0.8%)

derivations987.0ms (17.2%)

preprocess30.0ms (0.5%)

end0.0ms (0%)

Profiling