Metrics for System.Random.MWC.Distributions:truncatedExp from mwc-random-0.13.3.2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze383.0ms (1.8%)

Memory

4.7MiB live, 502.1MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
0%	0%	99.8%	0.2%	0%	0%	0%	5
0%	0%	99.8%	0.2%	0%	0%	0%	6
0%	0%	99.8%	0.2%	0%	0%	0%	7
3.1%	3.1%	96.7%	0.2%	0%	0%	0%	8
4.7%	4.7%	95.1%	0.2%	0%	0%	0%	9
4.7%	4.7%	95.1%	0.2%	0%	0%	0%	10
16.4%	16.4%	83.4%	0.2%	0%	0%	0%	11
18.8%	17.5%	76%	0.2%	0%	6.2%	0%	12

Compiler

Compiled 15 to 14 computations (6.7% saved)

sample8.3s (39.2%)

Memory

30.4MiB live, 5 516.6MiB allocated

Samples

3.2s	4 466×	1	valid
1.7s	3 790×	0	valid
1.2s	1 281×	5	exit
616.0ms	700×	1	invalid
394.0ms	1 786×	0	invalid
250.0ms	406×	4	exit

Precisions

Click to see histograms. Total time spent on operations: 5.6s

ival-sub: 1.6s (27.5% of total)

ival-log: 1.2s (21.5% of total)

ival-div: 1.0s (18% of total)

ival-exp: 751.0ms (13.3% of total)

ival-add: 529.0ms (9.4% of total)

adjust: 357.0ms (6.3% of total)

ival-mult: 201.0ms (3.6% of total)

ival-true: 10.0ms (0.2% of total)

exact: 9.0ms (0.2% of total)

ival-assert: 5.0ms (0.1% of total)

Bogosity

explain378.0ms (1.8%)

Memory

22.1MiB live, 616.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
149	58	(1.9906831844119114e+70 8.716704797723498e-273 -1.2284042629256897e-147 1.0903404764630851e+60)	0	-	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
62	5	(4.719521218194783e-91 -1453177.5067545723 -2.3146363122366185e-214 1.783357538780176e-201)	0	-	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
21	0	-	4	(9.157997698518282e-300 -1.7372848169491201e-99 6.027232143071008e-221 -2.577673390481158e-90)	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
0	0	-	0	-	`(-.f64 #s(literal 1 binary64) y)`
0	0	-	0	-	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
0	0	-	0	-	`t`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`z`
0	0	-	0	-	`y`
0	0	-	0	-	`(*.f64 y (exp.f64 z))`
0	0	-	0	-	`x`
0	0	-	0	-	`(exp.f64 z)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`	sensitivity	205	0
`+.f64`	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`	cancellation	31	0
`/.f64`	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`	u/n	3	0
↳	`(exp.f64 z)`	underflow	76
↳	`(*.f64 y (exp.f64 z))`	underflow	76
↳	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`	underflow	58
`log.f64`	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`	oflow-rescue	2	0
↳	`(exp.f64 z)`	overflow	2
↳	`(*.f64 y (exp.f64 z))`	overflow	2
↳	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`	overflow	2

Confusion

	Predicted +	Predicted -
+	81	9
-	141	25

Precision

0.36486486486486486

Recall

0.9

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	81	0	9
-	141	0	25

Precision?

0.36486486486486486

Recall?

0.9

Freqs

test

number	freq
0	34
1	203
2	19

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

129.0ms	320×	1	valid
88.0ms	134×	2	valid
5.0ms	58×	0	valid

Compiler

Compiled 131 to 40 computations (69.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 188.0ms

ival-log: 96.0ms (51% of total)

ival-exp: 42.0ms (22.3% of total)

adjust: 15.0ms (8% of total)

ival-sub: 11.0ms (5.8% of total)

ival-div: 9.0ms (4.8% of total)

ival-add: 7.0ms (3.7% of total)

ival-mult: 6.0ms (3.2% of total)

ival-true: 1.0ms (0.5% of total)

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

exact: 0.0ms (0% of total)

preprocess260.0ms (1.2%)

Memory

3.3MiB live, 80.0MiB allocated

Algorithm

1×	egg-herbie

Rules

434×	`sub-neg`
321×	`unsub-neg`
315×	`times-frac`
310×	`distribute-lft-neg-in`
294×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	194
1	147	186
2	389	184
3	977	184
4	2674	184
5	4762	184
6	5442	184
7	5699	184
8	5904	184
9	6037	184
10	6125	184
11	6572	184
12	6716	184
13	6728	184
14	6738	184
15	6738	184
16	6738	184
17	6738	184
0	12	13
0	19	13
1	29	13
2	54	13
3	93	13
4	188	13
5	356	13
6	509	13
7	570	13
8	637	13
9	689	13
10	817	13
11	907	13
12	914	13
13	915	13
0	915	9

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))

Outputs
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))

Compiler

Compiled 17 to 12 computations (29.4% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.5%	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify45.0ms (0.2%)

Memory

-10.5MiB live, 29.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
cost-diff	0	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
cost-diff	64	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
cost-diff	320	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))

Rules

272×	`lower-fma.f64`
272×	`lower-fma.f32`
136×	`lower-*.f32`
135×	`lower-*.f64`
88×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	55
0	19	55
1	29	55
2	54	55
3	93	55
4	188	55
5	356	55
6	509	55
7	570	55
8	637	55
9	689	55
10	817	55
11	907	55
12	914	55
13	915	55
0	915	40

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
x
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(*.f64 y (exp.f64 z))
(exp.f64 z)
z
t

Outputs
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
x
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(*.f64 y (exp.f64 z))
(*.f64 (exp.f64 z) y)
(exp.f64 z)
z
t

localize168.0ms (0.8%)

Memory

13.0MiB live, 125.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(*.f64 y (exp.f64 z))
accuracy	4.144132226627741	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
accuracy	14.680833977943207	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
accuracy	33.7923186151938	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))

Samples

56.0ms	160×	1	valid
37.0ms	67×	2	valid
19.0ms	29×	0	valid

Compiler

Compiled 57 to 14 computations (75.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-log: 34.0ms (37.1% of total)

ival-mult: 20.0ms (21.8% of total)

ival-exp: 17.0ms (18.6% of total)

adjust: 8.0ms (8.7% of total)

ival-sub: 6.0ms (6.5% of total)

ival-div: 4.0ms (4.4% of total)

ival-add: 3.0ms (3.3% of total)

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

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

exact: 0.0ms (0% of total)

series141.0ms (0.7%)

Memory

-11.8MiB live, 154.7MiB allocated

Counts

5 → 156

Calls

Call 1

Inputs
#s(alt (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) (patch (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #<representation binary64>) () ())
#s(alt (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) (patch (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) #<representation binary64>) () ())
#s(alt (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) t)) (patch (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) t)) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) t) (patch (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) t) #<representation binary64>) () ())
#s(alt (.f64 y (exp.f64 z)) (patch (.f64 y (exp.f64 z)) #<representation binary64>) () ())

Outputs
#s(alt 1 (taylor 0 y) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) (patch (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (exp z) 1))) (taylor 0 y) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) (patch (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (exp z) 1))) (taylor 0 y) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) (patch (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (exp z) 1))) (taylor 0 y) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) (patch (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* y (- (exp z) 1)) (taylor inf y) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) (patch (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (exp z) (/ 1 y)) 1)) (taylor inf y) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) (patch (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (exp z) (/ 1 y)) 1)) (taylor inf y) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) (patch (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (exp z) (/ 1 y)) 1)) (taylor inf y) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) (patch (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (exp z))))) (taylor -inf y) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) (patch (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) (taylor -inf y) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) (patch (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) (taylor -inf y) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) (patch (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) (taylor -inf y) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) (patch (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) (patch (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y z)) (taylor 0 z) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) (patch (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* z (+ y (* 1/2 (* y z))))) (taylor 0 z) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) (patch (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) (taylor 0 z) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) (patch (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* y (exp z))) y) (taylor inf z) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) (patch (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* y (exp z))) y) (taylor inf z) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) (patch (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* y (exp z))) y) (taylor inf z) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) (patch (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* y (exp z))) y) (taylor inf z) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) (patch (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* y (exp z))) y) (taylor -inf z) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) (patch (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* y (exp z))) y) (taylor -inf z) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) (patch (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* y (exp z))) y) (taylor -inf z) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) (patch (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* y (exp z))) y) (taylor -inf z) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) (patch (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* y (- (exp z) 1)) (taylor 0 y) (#s(alt (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) (patch (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1)) (taylor 0 y) (#s(alt (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) (patch (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1)) (taylor 0 y) (#s(alt (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) (patch (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1)) (taylor 0 y) (#s(alt (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) (patch (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) #<representation binary64>) () ())) ())
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#s(alt (* y (exp z)) (taylor -inf z) (#s(alt (.f64 y (exp.f64 z)) (patch (.f64 y (exp.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* y (exp z)) (taylor -inf z) (#s(alt (.f64 y (exp.f64 z)) (patch (.f64 y (exp.f64 z)) #<representation binary64>) () ())) ())

Calls

39 calls:

Time	Variable		Point	Expression
68.0ms	z	@	inf	(log (+ (- 1 y) (* y (exp z))))
25.0ms	z	@	-inf	(log (+ (- 1 y) (* y (exp z))))
12.0ms	t	@	0	(/ (log (+ (- 1 y) (* y (exp z)))) t)
11.0ms	t	@	inf	(/ (log (+ (- 1 y) (* y (exp z)))) t)
5.0ms	t	@	0	(- x (/ (log (+ (- 1 y) (* y (exp z)))) t))

simplify292.0ms (1.4%)

Memory

14.5MiB live, 366.3MiB allocated

Algorithm

1×	egg-herbie

Rules

7 940×	`lower-fma.f64`
7 940×	`lower-fma.f32`
3 328×	`lower-+.f64`
3 328×	`lower-+.f32`
2 633×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	335	2380
1	1012	2276
2	3164	2227
0	8211	1752

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 149

Calls

Call 1

Inputs
1
(+ 1 (* y (- (exp z) 1)))
(+ 1 (* y (- (exp z) 1)))
(+ 1 (* y (- (exp z) 1)))
(* y (- (exp z) 1))
(* y (- (+ (exp z) (/ 1 y)) 1))
(* y (- (+ (exp z) (/ 1 y)) 1))
(* y (- (+ (exp z) (/ 1 y)) 1))
(* -1 (* y (+ 1 (* -1 (exp z)))))
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y))))
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y))))
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y))))
1
(+ 1 (* y z))
(+ 1 (* z (+ y (* 1/2 (* y z)))))
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))))
(- (+ 1 (* y (exp z))) y)
(- (+ 1 (* y (exp z))) y)
(- (+ 1 (* y (exp z))) y)
(- (+ 1 (* y (exp z))) y)
(- (+ 1 (* y (exp z))) y)
(- (+ 1 (* y (exp z))) y)
(- (+ 1 (* y (exp z))) y)
(- (+ 1 (* y (exp z))) y)
(* y (- (exp z) 1))
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1))
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1))
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1))
(+ (log (- (exp z) 1)) (* -1 (log (/ 1 y))))
(+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1)))))
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp z) 1) 2))))
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp z) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp z) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp z) 1) 2)))))
(+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y))))
(- (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) (/ 1 (* y (+ 1 (* -1 (exp z))))))
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* 1/2 (/ 1 (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (+ 1 (* -1 (exp z))))) y))))
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (/ 1/3 (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3))) (+ (/ 1/2 (* y (pow (+ 1 (* -1 (exp z))) 2))) (/ 1 (+ 1 (* -1 (exp z)))))) y))))
(* y z)
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2)))))))
(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2))))))))
(* z (+ y (* z (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* z (+ (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))
(log (- (+ 1 (* y (exp z))) y))
(log (- (+ 1 (* y (exp z))) y))
(log (- (+ 1 (* y (exp z))) y))
(log (- (+ 1 (* y (exp z))) y))
(log (- (+ 1 (* y (exp z))) y))
(log (- (+ 1 (* y (exp z))) y))
(log (- (+ 1 (* y (exp z))) y))
(log (- (+ 1 (* y (exp z))) y))
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
x
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
x
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
x
(+ x (* y (- (/ 1 t) (/ (exp z) t))))
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t))))
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t))))
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t)))
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))
(- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))
(- (+ x (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))))
(- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(- (+ x (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(- (+ x (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(- (+ x (* -1 (/ (- (* -1 (/ (+ (* 1/3 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 3))))) (* 1/2 (/ 1 (* t (pow (+ 1 (* -1 (exp z))) 2))))) y)) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
x
(+ x (* -1 (/ (* y z) t)))
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))))
(+ x (* z (- (* z (- (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t))))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
x
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
x
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(/ (* y (- (exp z) 1)) t)
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t)))
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t)))
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) t)) (* 1/3 (/ (pow (- (exp z) 1) 3) t)))))) (/ (exp z) t)) (/ 1 t)))
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))))
(/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)
(- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 2))))) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (/ 1/3 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3)))) (+ (/ 1/2 (* t (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (+ 1 (* -1 (exp z))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(/ (* y z) t)
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t)))
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)))))) (/ y t)))
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(* y (exp z))
(* y (exp z))
(* y (exp z))
(* y (exp z))
(* y (exp z))
(* y (exp z))
(* y (exp z))
(* y (exp z))
(* y (exp z))
(* y (exp z))
(* y (exp z))
(* y (exp z))
y
(+ y (* y z))
(+ y (* z (+ y (* 1/2 (* y z)))))
(+ y (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))))
(* y (exp z))
(* y (exp z))
(* y (exp z))
(* y (exp z))
(* y (exp z))
(* y (exp z))
(* y (exp z))
(* y (exp z))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* y (- (exp z) 1)))
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64))
(+ 1 (* y (- (exp z) 1)))
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64))
(+ 1 (* y (- (exp z) 1)))
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64))
(* y (- (exp z) 1))
(*.f64 (expm1.f64 z) y)
(* y (- (+ (exp z) (/ 1 y)) 1))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (expm1.f64 z)) y)
(* y (- (+ (exp z) (/ 1 y)) 1))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (expm1.f64 z)) y)
(* y (- (+ (exp z) (/ 1 y)) 1))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (expm1.f64 z)) y)
(* -1 (* y (+ 1 (* -1 (exp z)))))
(*.f64 (expm1.f64 z) y)
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y))))
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64))
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y))))
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64))
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y))))
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* y z))
(fma.f64 z y #s(literal 1 binary64))
(+ 1 (* z (+ y (* 1/2 (* y z)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))))
(fma.f64 (fma.f64 (*.f64 z y) (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z #s(literal 1 binary64))
(- (+ 1 (* y (exp z))) y)
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64))
(- (+ 1 (* y (exp z))) y)
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64))
(- (+ 1 (* y (exp z))) y)
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64))
(- (+ 1 (* y (exp z))) y)
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64))
(- (+ 1 (* y (exp z))) y)
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64))
(- (+ 1 (* y (exp z))) y)
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64))
(- (+ 1 (* y (exp z))) y)
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64))
(- (+ 1 (* y (exp z))) y)
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64))
(* y (- (exp z) 1))
(*.f64 (expm1.f64 z) y)
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1))
(.f64 (.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (expm1.f64 z) #s(literal 1 binary64)) (expm1.f64 z)) y)
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1))
(.f64 (fma.f64 (.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (expm1.f64 z) #s(literal -1/2 binary64))) y (expm1.f64 z)) y)
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1))
(.f64 (fma.f64 (fma.f64 (.f64 y (.f64 #s(literal -1/4 binary64) y)) (pow.f64 (expm1.f64 z) #s(literal 4 binary64)) (.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (expm1.f64 z) #s(literal -1/2 binary64)))) y (expm1.f64 z)) y)
(+ (log (- (exp z) 1)) (* -1 (log (/ 1 y))))
(+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))
(+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1)))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (log.f64 y)) (log.f64 (expm1.f64 z)))
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp z) 1) 2))))
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (expm1.f64 z) y)) (log.f64 y)) (log.f64 (expm1.f64 z))) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y y) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))))
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp z) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp z) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp z) 1) 2)))))
(+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (expm1.f64 z) y)) (log.f64 y))) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 (.f64 y y) y) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)))) (log.f64 (expm1.f64 z))))
(+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (neg.f64 (log.f64 (neg.f64 y))))
(- (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) (/ 1 (* y (+ 1 (* -1 (exp z))))))
(+.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (neg.f64 (log.f64 (neg.f64 y)))) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)))
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* 1/2 (/ 1 (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (+ 1 (* -1 (exp z))))) y))))
(-.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (neg.f64 (log.f64 (neg.f64 y)))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (neg.f64 (expm1.f64 z)) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 z)))) y))
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (/ 1/3 (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3))) (+ (/ 1/2 (* y (pow (+ 1 (* -1 (exp z))) 2))) (/ 1 (+ 1 (* -1 (exp z)))))) y))))
(-.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 z))) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 (pow.f64 (neg.f64 (expm1.f64 z)) #s(literal 3 binary64)) y) y))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (neg.f64 (expm1.f64 z)) #s(literal 2 binary64)) y))) y)) (neg.f64 (log.f64 (neg.f64 y))))
(* y z)
(*.f64 z y)
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2)))))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z)
(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2))))))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) z) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (fma.f64 (neg.f64 y) y y) #s(literal 1/2 binary64))) z y) z)
(* z (+ y (* z (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* z (+ (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) z) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (.f64 y y) (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64)) y)) (.f64 (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) z (.f64 (fma.f64 (neg.f64 y) y y) #s(literal 1/2 binary64))) z y) z)
(log (- (+ 1 (* y (exp z))) y))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(log (- (+ 1 (* y (exp z))) y))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(log (- (+ 1 (* y (exp z))) y))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(log (- (+ 1 (* y (exp z))) y))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(log (- (+ 1 (* y (exp z))) y))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(log (- (+ 1 (* y (exp z))) y))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(log (- (+ 1 (* y (exp z))) y))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(log (- (+ 1 (* y (exp z))) y))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
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(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
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(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
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y
(+ y (* y z))
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rewrite334.0ms (1.6%)

Memory

-11.6MiB live, 272.6MiB allocated

Rules

3 290×	`lower-fma.f64`
3 290×	`lower-fma.f32`
2 065×	`lower-*.f32`
2 064×	`lower-*.f64`
1 521×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	45
0	19	45
1	73	45
2	593	45
3	7204	45
0	8984	38

Stop Event

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

Counts

5 → 287

Calls

Call 1

Inputs
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
(*.f64 y (exp.f64 z))

Outputs
(.f64 (/.f64 (fma.f64 (exp.f64 (+.f64 z z)) (.f64 (neg.f64 y) y) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) y) (.f64 (.f64 (.f64 (neg.f64 y) y) y) (exp.f64 (.f64 z #s(literal 3 binary64)))))) (fma.f64 (.f64 (exp.f64 z) y) (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))
(.f64 (/.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) y) (.f64 (exp.f64 (.f64 z #s(literal 3 binary64))) (.f64 (.f64 y y) y))) (fma.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) y) (neg.f64 (pow.f64 (.f64 (-.f64 (.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) (.f64 (exp.f64 z) y)) #s(literal 2 binary64))))) (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y) (.f64 (.f64 (neg.f64 y) (exp.f64 z)) (-.f64 (.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)))))
(.f64 (/.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) y) (.f64 (exp.f64 (.f64 z #s(literal 3 binary64))) (.f64 (.f64 y y) y))) (fma.f64 (.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) y)) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) y) (pow.f64 (.f64 (-.f64 (.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) (.f64 (exp.f64 z) y)) #s(literal 3 binary64)))) (fma.f64 (.f64 (-.f64 (.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) (.f64 (exp.f64 z) y)) (-.f64 (.f64 (-.f64 (.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) (.f64 (exp.f64 z) y)) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))))
(.f64 (/.f64 (fma.f64 (exp.f64 (+.f64 z z)) (.f64 (neg.f64 y) y) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (fma.f64 (exp.f64 (+.f64 z z)) (.f64 (neg.f64 y) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 1 binary64))))
(.f64 (fma.f64 (exp.f64 (+.f64 z z)) (.f64 y y) (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y))) (fma.f64 (exp.f64 (+.f64 z z)) (.f64 (neg.f64 y) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (+.f64 z z)) (.f64 y y) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y))))) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) y) (.f64 (exp.f64 (.f64 z #s(literal 3 binary64))) (.f64 (.f64 y y) y))))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z))) (fma.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (neg.f64 (fma.f64 (exp.f64 (+.f64 z z)) (.f64 (neg.f64 y) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)))))
(.f64 (neg.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) y) (.f64 (exp.f64 (.f64 z #s(literal 3 binary64))) (.f64 (.f64 y y) y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (exp.f64 (+.f64 z z)) (.f64 y y) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)))))))
(.f64 (fma.f64 (exp.f64 (+.f64 z z)) (.f64 (neg.f64 y) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y))))
(.f64 (fma.f64 (exp.f64 (+.f64 z z)) (.f64 y y) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)))) (/.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)) (fma.f64 (exp.f64 (+.f64 z z)) (.f64 y y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y))))))
(.f64 (fma.f64 (exp.f64 (+.f64 z z)) (.f64 y y) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)))) (.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (+.f64 z z)) (.f64 y y) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)))))))
(.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) y) (.f64 (exp.f64 (.f64 z #s(literal 3 binary64))) (.f64 (.f64 y y) y))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (+.f64 z z)) (.f64 y y) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y))))))
(*.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y))))
(.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)) (.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)))))
(*.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (pow.f64 (.f64 (exp.f64 z) y) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)))) (fma.f64 (exp.f64 (+.f64 z z)) (.f64 y y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) y)) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) y) (neg.f64 (pow.f64 (.f64 (exp.f64 z) y) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)))) (fma.f64 (.f64 (exp.f64 (+.f64 z z)) (.f64 y y)) (fma.f64 (exp.f64 (+.f64 z z)) (.f64 y y) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) y)) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) y) (neg.f64 (pow.f64 (.f64 (exp.f64 z) y) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (+.f64 z z)) (.f64 y y) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)))))) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) y) (.f64 (.f64 (.f64 (neg.f64 y) y) y) (exp.f64 (*.f64 z #s(literal 3 binary64))))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) y)) (pow.f64 (.f64 (exp.f64 z) y) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (+.f64 z z)) (.f64 y y) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)))))) (fma.f64 (.f64 (exp.f64 (.f64 z #s(literal 3 binary64))) (.f64 (.f64 y y) y)) (-.f64 (.f64 (exp.f64 (.f64 z #s(literal 3 binary64))) (.f64 (.f64 y y) y)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) y))) (.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))))
(/.f64 (.f64 (fma.f64 (exp.f64 (+.f64 z z)) (.f64 (neg.f64 y) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)))
(/.f64 (.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) y) (.f64 (exp.f64 (.f64 z #s(literal 3 binary64))) (.f64 (.f64 y y) y))) #s(literal 1 binary64)) (fma.f64 (exp.f64 (+.f64 z z)) (.f64 y y) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)))) (.f64 (.f64 (.f64 (exp.f64 (+.f64 z z)) y) (/.f64 y (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)))) (.f64 (.f64 (exp.f64 (+.f64 z z)) y) (/.f64 y (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)))))) (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y))) (.f64 (.f64 (exp.f64 (+.f64 z z)) y) (/.f64 y (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y))))))
(/.f64 (-.f64 (.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) (fma.f64 (exp.f64 z) y #s(literal 1 binary64))) (.f64 y y)) (+.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) y))
(/.f64 (-.f64 (.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) (fma.f64 (exp.f64 z) y #s(literal 1 binary64))) (.f64 y y)) (-.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) (neg.f64 y)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)) (fma.f64 (exp.f64 z) y (neg.f64 y)))) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y (neg.f64 y))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) #s(literal 3 binary64)) (.f64 (.f64 y y) y)) (fma.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) (fma.f64 y y (*.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (exp.f64 (+.f64 z z)) y) (/.f64 y (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y))) (fma.f64 (.f64 (.f64 (exp.f64 (+.f64 z z)) y) (/.f64 y (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)))) (.f64 (.f64 (exp.f64 (+.f64 z z)) y) (/.f64 y (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)))) (.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y))) (.f64 (*.f64 (exp.f64 (+.f64 z z)) y) (/.f64 y (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y))))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) #s(literal 3 binary64)) (.f64 (.f64 (neg.f64 y) y) y)) (fma.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) (-.f64 (.f64 y y) (.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) (neg.f64 y)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)) (fma.f64 (exp.f64 z) y (neg.f64 y))) (.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y (neg.f64 y))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (exp.f64 (+.f64 z z)) (.f64 y y) (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (neg.f64 (-.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z))) (fma.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (exp.f64 (+.f64 z z)) (.f64 (neg.f64 y) y) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) y) (.f64 (exp.f64 (.f64 z #s(literal 3 binary64))) (.f64 (.f64 y y) y))))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 (+.f64 z z)) (.f64 y y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)))))))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y))) (.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)) (.f64 (exp.f64 (+.f64 z z)) (.f64 y y)))) (.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y))))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (pow.f64 (.f64 (exp.f64 z) y) #s(literal 4 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)) (fma.f64 (exp.f64 (+.f64 z z)) (.f64 y y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z))) #s(literal 2 binary64))) (fma.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 1 binary64)))
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(neg.f64 (/.f64 (fma.f64 x x (neg.f64 (pow.f64 (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) #s(literal -2 binary64)))) (neg.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x))))
(neg.f64 (/.f64 (fma.f64 (.f64 x x) x (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t)) #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (.f64 x x)))))
(fma.f64 (/.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 (.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t)) #s(literal 2 binary64)))) (fma.f64 x x (.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t)) (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x))) (neg.f64 (/.f64 (pow.f64 (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) #s(literal -3 binary64)) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (.f64 x x)))))
(fma.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) x (pow.f64 (.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t)) #s(literal 3 binary64)))) (fma.f64 (.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t)) (-.f64 (.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t)) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) (neg.f64 (/.f64 (pow.f64 (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) #s(literal -3 binary64)) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (.f64 x x)))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 x x) x (pow.f64 (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) #s(literal -3 binary64)))) (fma.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (-.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (.f64 x x)) (neg.f64 (/.f64 (pow.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) #s(literal 2 binary64)) (.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (*.f64 t t)))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 x x (neg.f64 (pow.f64 (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) #s(literal -2 binary64))))) (-.f64 x (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t)) (neg.f64 (/.f64 (pow.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) #s(literal 2 binary64)) (.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (*.f64 t t)))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (.f64 x x))) (neg.f64 (/.f64 (pow.f64 (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) #s(literal -3 binary64)) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (.f64 x x)))))
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x)
(fma.f64 #s(literal -1 binary64) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x)
(fma.f64 (/.f64 #s(literal 1 binary64) t) (neg.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) x)
(fma.f64 (.f64 x x) (/.f64 x (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (.f64 x x))) (neg.f64 (/.f64 (pow.f64 (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) #s(literal -3 binary64)) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x)))))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x)) (neg.f64 (/.f64 (pow.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) #s(literal 2 binary64)) (.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (*.f64 t t)))))
(fma.f64 (.f64 (.f64 x x) x) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (.f64 x x))) (neg.f64 (/.f64 (pow.f64 (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) #s(literal -3 binary64)) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (.f64 x x)))))
(fma.f64 (neg.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) (/.f64 #s(literal 1 binary64) t) x)
(fma.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal -1 binary64) x)
(fma.f64 x (/.f64 (.f64 x x) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (.f64 x x))) (neg.f64 (/.f64 (pow.f64 (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) #s(literal -3 binary64)) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x)))))
(fma.f64 x (/.f64 x (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x)) (neg.f64 (/.f64 (pow.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) #s(literal 2 binary64)) (.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (.f64 t t)))))
(fma.f64 x #s(literal 1 binary64) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t)))
(fma.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (/.f64 #s(literal -1 binary64) t) x)
(fma.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t)) x)
(fma.f64 #s(literal 1 binary64) x (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t)))
(-.f64 (+.f64 x #s(literal 0 binary64)) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t))
(-.f64 (/.f64 (.f64 x x) (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x)) (/.f64 (pow.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) #s(literal 2 binary64)) (.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (*.f64 t t))))
(-.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (.f64 x x))) (/.f64 (pow.f64 (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) #s(literal -3 binary64)) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (.f64 x x))))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x))
(-.f64 x (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t))
(+.f64 (/.f64 (.f64 x x) (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x)) (neg.f64 (/.f64 (pow.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) #s(literal 2 binary64)) (.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (*.f64 t t)))))
(+.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (.f64 x x))) (neg.f64 (/.f64 (pow.f64 (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) #s(literal -3 binary64)) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (.f64 x x)))))
(+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t)) x)
(+.f64 x (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t)))
(*.f64 (pow.f64 (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))))
(*.f64 #s(literal -1 binary64) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t)))
(*.f64 (/.f64 #s(literal 1 binary64) t) (pow.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))))
(.f64 (neg.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) (.f64 (/.f64 #s(literal -1 binary64) t) #s(literal 1 binary64)))
(*.f64 (neg.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) (/.f64 #s(literal -1 binary64) t))
(*.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 1 binary64))
(*.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (/.f64 #s(literal 1 binary64) t))
(*.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t))
(pow.f64 (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) #s(literal -1 binary64)) t)
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))))
(/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))))
(/.f64 (neg.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) (neg.f64 t))
(/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t)
(/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))))
(neg.f64 (*.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t)) #s(literal 1 binary64)))
(neg.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 t)) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t)))
(-.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 (+.f64 z z)) (.f64 (neg.f64 y) y) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) t) (/.f64 (log1p.f64 (neg.f64 (fma.f64 (exp.f64 z) y y))) t))
(-.f64 (/.f64 (log.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) y) (.f64 (exp.f64 (.f64 z #s(literal 3 binary64))) (.f64 (.f64 y y) y)))) t) (/.f64 (log.f64 (fma.f64 (exp.f64 (+.f64 z z)) (.f64 y y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y))))) t))
(-.f64 #s(literal 0 binary64) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t)))
(exp.f64 (*.f64 (log.f64 (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))))) #s(literal -1 binary64)))
(.f64 (.f64 (exp.f64 z) #s(literal 1 binary64)) y)
(.f64 (.f64 (exp.f64 z) y) #s(literal 1 binary64))
(*.f64 (exp.f64 z) y)
(.f64 y (.f64 #s(literal 1 binary64) (exp.f64 z)))
(*.f64 y (exp.f64 z))
(.f64 #s(literal 1 binary64) (.f64 (exp.f64 z) y))

eval195.0ms (0.9%)

Memory: 12.7MiB live, 91.1MiB allocated
Compiler: Compiled 14 180 to 1 573 computations (88.9% saved)

prune328.0ms (1.6%)

Memory

12.2MiB live, 132.3MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	422	14	436
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	423	14	437

Accuracy

100.0%

Counts

437 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	84.1%	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x)
▶	67.1%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z #s(literal 1 binary64)))) t))
	66.4%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))) t))
	75.6%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
	33.2%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))
	75.9%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
▶	64.4%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z)) t))
▶	86.0%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
	77.0%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
	65.9%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 (neg.f64 y) y y) t) (/.f64 y t)) z)))
	77.3%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y)))
▶	76.2%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
▶	89.0%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x))
	24.7%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))

Compiler

Compiled 440 to 274 computations (37.7% saved)

simplify308.0ms (1.5%)

Memory

-14.0MiB live, 172.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z #s(literal 1 binary64)))
cost-diff	0	(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z #s(literal 1 binary64))))
cost-diff	0	(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z #s(literal 1 binary64)))) t)
cost-diff	0	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z #s(literal 1 binary64)))) t))
cost-diff	0	(*.f64 (expm1.f64 z) y)
cost-diff	0	#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))
cost-diff	0	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)
cost-diff	0	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
cost-diff	0	#s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z))
cost-diff	0	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z)) t)
cost-diff	0	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z)) t))
cost-diff	128	(fma.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y)
cost-diff	0	(/.f64 y t)
cost-diff	0	(neg.f64 z)
cost-diff	0	(fma.f64 (neg.f64 z) (/.f64 y t) x)
cost-diff	0	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
cost-diff	0	(/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t))
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x))
cost-diff	640	(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x)

Rules

3 656×	`lower-fma.f32`
3 649×	`lower-fma.f64`
1 893×	`lower-*.f32`
1 888×	`lower-*.f64`
1 086×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	401
0	79	401
1	153	401
2	367	361
3	885	353
4	1807	353
5	3411	353
6	6403	353
0	8202	344

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x))
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x)
(neg.f64 x)
x
(/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(*.f64 (expm1.f64 z) y)
(expm1.f64 z)
z
y
(*.f64 x t)
t
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
(fma.f64 (neg.f64 z) (/.f64 y t) x)
(neg.f64 z)
z
(/.f64 y t)
y
t
x
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z)) t))
x
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z)
(fma.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y)
(*.f64 #s(literal 1/2 binary64) z)
#s(literal 1/2 binary64)
z
(fma.f64 (neg.f64 y) y y)
(neg.f64 y)
y
t
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
x
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))
(*.f64 (expm1.f64 z) y)
(expm1.f64 z)
z
y
t
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z #s(literal 1 binary64)))) t))
x
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z #s(literal 1 binary64)))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z #s(literal 1 binary64))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 z y) (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z #s(literal 1 binary64))
(fma.f64 (*.f64 z y) (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y)
(*.f64 z y)
z
y
(fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
t

Outputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(neg.f64 x)
x
(/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t))
(/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 t x))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(*.f64 (expm1.f64 z) y)
(expm1.f64 z)
z
y
(*.f64 x t)
(*.f64 t x)
t
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 z t) (neg.f64 y) x))
(fma.f64 (neg.f64 z) (/.f64 y t) x)
(fma.f64 (/.f64 z t) (neg.f64 y) x)
(neg.f64 z)
z
(/.f64 y t)
y
t
x
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z) y)) t))
x
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z)) t)
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z) y)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z))
#s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z) y))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z)
(.f64 (fma.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z) y)
(fma.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y)
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 z y) y)
(*.f64 #s(literal 1/2 binary64) z)
#s(literal 1/2 binary64)
z
(fma.f64 (neg.f64 y) y y)
(neg.f64 y)
y
t
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
x
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))
(*.f64 (expm1.f64 z) y)
(expm1.f64 z)
z
y
t
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z #s(literal 1 binary64)))) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z z) (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z) y #s(literal 1 binary64)))) t))
x
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z #s(literal 1 binary64)))) t)
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z z) (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z) y #s(literal 1 binary64)))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z #s(literal 1 binary64))))
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z z) (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z) y #s(literal 1 binary64))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z #s(literal 1 binary64)))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z z) (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 z y) (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 z z) (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z) y #s(literal 1 binary64))
(fma.f64 (*.f64 z y) (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y)
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y)
(*.f64 z y)
z
y
(fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
t

localize489.0ms (2.3%)

Memory

-2.4MiB live, 600.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.10546875	(fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))
accuracy	4.144132226627741	(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z #s(literal 1 binary64)))) t)
accuracy	17.08627922808674	#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z #s(literal 1 binary64)))
accuracy	33.7923186151938	(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z #s(literal 1 binary64))))
accuracy	0.00390625	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
accuracy	0.01171875	(*.f64 (expm1.f64 z) y)
accuracy	4.144132226627741	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)
accuracy	12.225105918662392	#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))
accuracy	1.4614509980702717	(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z)
accuracy	4.144132226627741	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z)) t)
accuracy	4.275106255475667	(fma.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y)
accuracy	25.8906587580848	#s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z))
accuracy	0	(/.f64 y t)
accuracy	0	(neg.f64 z)
accuracy	2.7232865699141495	(fma.f64 (neg.f64 z) (/.f64 y t) x)
accuracy	13.431444743686207	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
accuracy	0.01171875	(*.f64 (expm1.f64 z) y)
accuracy	0.4958335253110169	(log1p.f64 (*.f64 (expm1.f64 z) y))
accuracy	3.804738005775342	(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x)
accuracy	6.663905728656914	(/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t))

Samples

207.0ms	67×	2	valid
162.0ms	160×	1	valid
37.0ms	29×	0	valid

Compiler

Compiled 308 to 42 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 213.0ms

adjust: 62.0ms (29.1% of total)

ival-log: 42.0ms (19.7% of total)

ival-mult: 32.0ms (15% of total)

ival-exp: 18.0ms (8.4% of total)

ival-expm1: 15.0ms (7% of total)

ival-add: 14.0ms (6.6% of total)

ival-div: 10.0ms (4.7% of total)

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

const: 5.0ms (2.3% of total)

ival-log1p: 4.0ms (1.9% of total)

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

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

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

exact: 0.0ms (0% of total)

series214.0ms (1%)

Memory

-1.9MiB live, 200.9MiB allocated

Counts

23 → 744

Calls

Call 1

Inputs
#s(alt (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) (patch (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) #<representation binary64>) () ())
#s(alt #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x)) (patch #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) (patch (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) #<representation binary64>) () ())
#s(alt #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) (patch #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 z) (/.f64 y t) x) (patch (fma.f64 (neg.f64 z) (/.f64 y t) x) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt (/.f64 y t) (patch (/.f64 y t) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) (patch (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) #<representation binary64>) () ())
#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z)) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z)) t)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z)) t) (patch (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z)) t) #<representation binary64>) () ())
#s(alt #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z)) (patch #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z)) #<representation binary64>) () ())
#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (expm1.f64 z) y)) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (expm1.f64 z) y)) t) (patch (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (*.f64 (expm1.f64 z) y)) t) #<representation binary64>) () ())
#s(alt #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (expm1.f64 z) y)) (patch #s(approx (log (+ (- 1 y) ( y (exp z)))) (*.f64 (expm1.f64 z) y)) #<representation binary64>) () ())
#s(alt (.f64 (expm1.f64 z) y) (patch (.f64 (expm1.f64 z) y) #<representation binary64>) () ())
#s(alt (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (.f64 z y) (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z #s(literal 1 binary64)))) t)) (patch (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z #s(literal 1 binary64)))) t)) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (.f64 z y) (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z #s(literal 1 binary64)))) t) (patch (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z #s(literal 1 binary64)))) t) #<representation binary64>) () ())
#s(alt (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (.f64 z y) (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z #s(literal 1 binary64)))) (patch (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (.f64 z y) (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z #s(literal 1 binary64))) (patch #s(approx (+ (- 1 y) ( y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (log1p.f64 (.f64 (expm1.f64 z) y)) (patch (log1p.f64 (.f64 (expm1.f64 z) y)) #<representation binary64>) () ())
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Outputs
#s(alt (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)) (taylor 0 x) (#s(alt (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) (patch (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))) (taylor 0 x) (#s(alt (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) (patch (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))) (taylor 0 x) (#s(alt (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) (patch (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))) (taylor 0 x) (#s(alt (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) (patch (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) (patch (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) #<representation binary64>) () ())) ())
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#s(alt x (taylor -inf x) (#s(alt (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) (patch (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) (patch (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) #<representation binary64>) () ())) ())
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#s(alt x (taylor 0 z) (#s(alt (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) (patch (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* y z) t))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) (patch (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* z (+ (* -1 (/ y t)) (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t))))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) (patch (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* z (+ (* -1 (/ y t)) (* z (+ (* -1/2 (/ (+ y (* -1 (pow y 2))) t)) (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t))))))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) (patch (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))) (taylor inf z) (#s(alt (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) (patch (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))) (taylor inf z) (#s(alt (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) (patch (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))) (taylor inf z) (#s(alt (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) (patch (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))) (taylor inf z) (#s(alt (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) (patch (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))) (taylor -inf z) (#s(alt (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) (patch (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))) (taylor -inf z) (#s(alt (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) (patch (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))) (taylor -inf z) (#s(alt (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) (patch (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))) (taylor -inf z) (#s(alt (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) (patch (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) (patch (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* y (- (exp z) 1)) t))) (taylor 0 y) (#s(alt (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) (patch (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ (* -1 (/ (- (exp z) 1) t)) (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t))))) (taylor 0 y) (#s(alt (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) (patch (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ (* -1 (/ (- (exp z) 1) t)) (* y (+ (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* 1/2 (/ (pow (- (exp z) 1) 2) t))))))) (taylor 0 y) (#s(alt (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) (patch (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t))) (taylor inf y) (#s(alt (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) (patch (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t))) (/ 1 (* t (* y (- (exp z) 1))))) (taylor inf y) (#s(alt (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) (patch (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (/ 1 (* t (* y (- (exp z) 1))))) (taylor inf y) (#s(alt (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) (patch (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))))) (+ (/ 1 (* t (* y (- (exp z) 1)))) (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))))) (taylor inf y) (#s(alt (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) (patch (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) #<representation binary64>) () ())) ())
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#s(alt (- (+ x (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t))) (/ 1 (* t (* y (- (exp z) 1))))) (taylor -inf y) (#s(alt (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) (patch (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)) (* -1 (/ (- (/ 1 (* t (- (exp z) 1))) (* 1/2 (/ 1 (* t (* y (pow (- (exp z) 1) 2)))))) y)))) (taylor -inf y) (#s(alt (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) (patch (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ 1 (* t (pow (- (exp z) 1) 2)))) (* 1/3 (/ 1 (* t (* y (pow (- (exp z) 1) 3)))))) y)) (/ 1 (* t (- (exp z) 1)))) y)))) (taylor -inf y) (#s(alt (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) (patch (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)) (taylor 0 t) (#s(alt (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) (patch (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (log (+ 1 (* y (- (exp z) 1))))) (* t x)) t) (taylor 0 t) (#s(alt (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) (patch (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (log (+ 1 (* y (- (exp z) 1))))) (* t x)) t) (taylor 0 t) (#s(alt (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) (patch (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (log (+ 1 (* y (- (exp z) 1))))) (* t x)) t) (taylor 0 t) (#s(alt (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) (patch (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) #<representation binary64>) () ())) ())
#s(alt x (taylor inf t) (#s(alt (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) (patch (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))) (taylor inf t) (#s(alt (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) (patch (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))) (taylor inf t) (#s(alt (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) (patch (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x) #<representation binary64>) () ())) ())
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#s(alt (* (pow z 2) (+ (* 1/2 (+ y (* -1 (pow y 2)))) (/ y z))) (taylor inf z) (#s(alt (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z) (patch (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (* 1/2 (+ y (* -1 (pow y 2)))) (/ y z))) (taylor inf z) (#s(alt (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z) (patch (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (pow z 2) (+ y (* -1 (pow y 2))))) (taylor -inf z) (#s(alt (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z) (patch (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (* 1/2 (+ y (* -1 (pow y 2)))) (/ y z))) (taylor -inf z) (#s(alt (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z) (patch (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (* 1/2 (+ y (* -1 (pow y 2)))) (/ y z))) (taylor -inf z) (#s(alt (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z) (patch (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (* 1/2 (+ y (* -1 (pow y 2)))) (/ y z))) (taylor -inf z) (#s(alt (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z) (patch (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z) #<representation binary64>) () ())) ())
#s(alt (* y (* z (+ 1 (* 1/2 z)))) (taylor 0 y) (#s(alt (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z) (patch (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1/2 (* y (pow z 2))) (* z (+ 1 (* 1/2 z))))) (taylor 0 y) (#s(alt (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z) (patch (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1/2 (* y (pow z 2))) (* z (+ 1 (* 1/2 z))))) (taylor 0 y) (#s(alt (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z) (patch (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1/2 (* y (pow z 2))) (* z (+ 1 (* 1/2 z))))) (taylor 0 y) (#s(alt (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z) (patch (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (pow y 2) (pow z 2))) (taylor inf y) (#s(alt (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z) (patch (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1/2 (pow z 2)) (/ (* z (+ 1 (* 1/2 z))) y))) (taylor inf y) (#s(alt (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z) (patch (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1/2 (pow z 2)) (/ (* z (+ 1 (* 1/2 z))) y))) (taylor inf y) (#s(alt (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z) (patch (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1/2 (pow z 2)) (/ (* z (+ 1 (* 1/2 z))) y))) (taylor inf y) (#s(alt (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z) (patch (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (pow y 2) (pow z 2))) (taylor -inf y) (#s(alt (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z) (patch (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 (/ (* z (- (* -1/2 z) 1)) y)) (* -1/2 (pow z 2)))) (taylor -inf y) (#s(alt (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z) (patch (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 (/ (* z (- (* -1/2 z) 1)) y)) (* -1/2 (pow z 2)))) (taylor -inf y) (#s(alt (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z) (patch (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 (/ (* z (- (* -1/2 z) 1)) y)) (* -1/2 (pow z 2)))) (taylor -inf y) (#s(alt (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z) (patch (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 z) (#s(alt (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 z)) (taylor 0 z) (#s(alt (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 z)) (taylor 0 z) (#s(alt (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 z)) (taylor 0 z) (#s(alt (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 z) (taylor inf z) (#s(alt (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1/6 (* 1/2 (/ 1 z)))) (taylor inf z) (#s(alt (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1/6 (* 1/2 (/ 1 z)))) (taylor inf z) (#s(alt (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1/6 (* 1/2 (/ 1 z)))) (taylor inf z) (#s(alt (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 z) (taylor -inf z) (#s(alt (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1/6 (* 1/2 (/ 1 z)))) (taylor -inf z) (#s(alt (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1/6 (* 1/2 (/ 1 z)))) (taylor -inf z) (#s(alt (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1/6 (* 1/2 (/ 1 z)))) (taylor -inf z) (#s(alt (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())

Calls

186 calls:

Time	Variable		Point	Expression
59.0ms	z	@	inf	(+ (* (neg x) (/ (log (+ 1 (* (- (exp z) 1) y))) (* x t))) x)
22.0ms	x	@	0	(+ (* (neg x) (/ (log (+ 1 (* (- (exp z) 1) y))) (* x t))) x)
22.0ms	z	@	inf	(+ (* (* 1/2 z) (+ (* (neg y) y) y)) y)
16.0ms	z	@	-inf	(+ (* (neg x) (/ (log (+ 1 (* (- (exp z) 1) y))) (* x t))) x)
12.0ms	x	@	0	(/ (log (+ 1 (* (- (exp z) 1) y))) (* x t))

simplify225.0ms (1.1%)

Memory

15.5MiB live, 283.9MiB allocated

Algorithm

1×	egg-herbie

Rules

3 723×	`lower-fma.f64`
3 723×	`lower-fma.f32`
2 514×	`lower-*.f64`
2 514×	`lower-*.f32`
1 552×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	631	11848
1	2020	11165
2	6374	11084
0	8223	8817

Stop Event

1×	iter limit
1×	node limit

Counts

744 → 701

Calls

Call 1

Inputs
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
x
(* x (+ 1 (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)))))
(* x (+ 1 (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)))))
(* x (+ 1 (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)))))
x
(* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1)))
(* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1)))
(* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1)))
x
(+ x (* -1 (/ (* y z) t)))
(+ x (* z (+ (* -1 (/ y t)) (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)))))
(+ x (* z (+ (* -1 (/ y t)) (* z (+ (* -1/2 (/ (+ y (* -1 (pow y 2))) t)) (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)))))))
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
x
(+ x (* -1 (/ (* y (- (exp z) 1)) t)))
(+ x (* y (+ (* -1 (/ (- (exp z) 1) t)) (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)))))
(+ x (* y (+ (* -1 (/ (- (exp z) 1) t)) (* y (+ (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* 1/2 (/ (pow (- (exp z) 1) 2) t)))))))
(+ x (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)))
(- (+ x (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t))) (/ 1 (* t (* y (- (exp z) 1)))))
(- (+ x (+ (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (/ 1 (* t (* y (- (exp z) 1)))))
(- (+ x (+ (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))))) (+ (/ 1 (* t (* y (- (exp z) 1)))) (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3)))))))
(+ x (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)))
(- (+ x (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t))) (/ 1 (* t (* y (- (exp z) 1)))))
(+ x (+ (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)) (* -1 (/ (- (/ 1 (* t (- (exp z) 1))) (* 1/2 (/ 1 (* t (* y (pow (- (exp z) 1) 2)))))) y))))
(+ x (+ (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ 1 (* t (pow (- (exp z) 1) 2)))) (* 1/3 (/ 1 (* t (* y (pow (- (exp z) 1) 3)))))) y)) (/ 1 (* t (- (exp z) 1)))) y))))
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))
(/ (+ (* -1 (log (+ 1 (* y (- (exp z) 1))))) (* t x)) t)
(/ (+ (* -1 (log (+ 1 (* y (- (exp z) 1))))) (* t x)) t)
(/ (+ (* -1 (log (+ 1 (* y (- (exp z) 1))))) (* t x)) t)
x
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
x
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
x
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
x
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
x
(+ x (* y (- (/ 1 t) (/ (exp z) t))))
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t))))
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t))))
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t)))
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))
(- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))
(- (+ x (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))))
(- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(- (+ x (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(- (+ x (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(- (+ x (* -1 (/ (- (* -1 (/ (+ (* 1/3 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 3))))) (* 1/2 (/ 1 (* t (pow (+ 1 (* -1 (exp z))) 2))))) y)) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
x
(+ x (* -1 (/ (* y z) t)))
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))))
(+ x (* z (- (* z (- (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t))))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
x
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
x
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ (* y z) (* t x))
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) (* t x))) (/ y (* t x))))
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (* t x))) (* 1/2 (/ (+ y (* -1 (pow y 2))) (* t x))))) (/ y (* t x))))
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) (* t x))) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) (* t x))) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) (* t x))))))) (/ y (* t x))))
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
(/ (* y (- (exp z) 1)) (* t x))
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) (* t x))) (/ (exp z) (* t x))) (/ 1 (* t x))))
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) (* t x))) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) (* t x))))) (/ (exp z) (* t x))) (/ 1 (* t x))))
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) (* t x))) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) (* t x))) (* 1/3 (/ (pow (- (exp z) 1) 3) (* t x))))))) (/ (exp z) (* t x))) (/ 1 (* t x))))
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) (* t x))
(+ (* -1 (/ (log (/ 1 y)) (* t x))) (+ (/ 1 (* t (* x (* y (- (exp z) 1))))) (/ (log (- (exp z) 1)) (* t x))))
(- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (+ (/ 1 (* t (* x (* y (- (exp z) 1))))) (/ (log (- (exp z) 1)) (* t x)))) (/ 1/2 (* t (* x (* (pow y 2) (pow (- (exp z) 1) 2))))))
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(* z (+ 1/6 (* 1/2 (/ 1 z))))
(* z (+ 1/6 (* 1/2 (/ 1 z))))

Outputs
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(*.f64 #s(literal 1/6 binary64) z)
(* z (+ 1/6 (* 1/2 (/ 1 z))))
(fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))
(* z (+ 1/6 (* 1/2 (/ 1 z))))
(fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))
(* z (+ 1/6 (* 1/2 (/ 1 z))))
(fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))

rewrite276.0ms (1.3%)

Memory

25.8MiB live, 385.0MiB allocated

Rules

2 718×	`lower-*.f32`
2 713×	`lower-*.f64`
2 121×	`lower-fma.f32`
2 114×	`lower-fma.f64`
1 602×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	332
0	79	332
1	346	332
2	2939	332
0	8283	320

Stop Event

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

Counts

23 → 315

Calls

Call 1

Inputs
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x)
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x))
(neg.f64 x)
(/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
(fma.f64 (neg.f64 z) (/.f64 y t) x)
(neg.f64 z)
(/.f64 y t)
(fma.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y)
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z)) t))
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))
(*.f64 (expm1.f64 z) y)
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z #s(literal 1 binary64)))) t))
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z #s(literal 1 binary64)))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z #s(literal 1 binary64))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z #s(literal 1 binary64)))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z)
(fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))

Outputs
(.f64 (-.f64 (pow.f64 (.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (.f64 t x)) x) #s(literal 2 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x) (neg.f64 x))))
(.f64 (fma.f64 (.f64 x x) x (pow.f64 (.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (.f64 t x)) (neg.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (.f64 t x)) (neg.f64 x))) (pow.f64 (.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (*.f64 t x)) x) #s(literal 2 binary64)))))
(pow.f64 (/.f64 (fma.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (.f64 t x)) (neg.f64 x) (neg.f64 x)) (-.f64 (pow.f64 (.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (.f64 t x)) x) #s(literal 2 binary64)) (.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (.f64 t x)) (neg.f64 x))) (pow.f64 (.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (.f64 t x)) x) #s(literal 2 binary64))) (fma.f64 (.f64 x x) x (pow.f64 (.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (.f64 t x)) (neg.f64 x)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (.f64 t x)) x) #s(literal 2 binary64))) (-.f64 x (.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (.f64 t x)) x) #s(literal 2 binary64)) (.f64 x x))) (neg.f64 (fma.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (.f64 t x)) (neg.f64 x) (neg.f64 x))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) x (pow.f64 (.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (.f64 t x)) (neg.f64 x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (.f64 t x)) (neg.f64 x))) (pow.f64 (.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (.f64 t x)) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (.f64 t x)) x) #s(literal 2 binary64)) (.f64 x x)) (fma.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (.f64 t x)) (neg.f64 x) (neg.f64 x)))
(/.f64 (fma.f64 (.f64 x x) x (pow.f64 (.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (.f64 t x)) (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (.f64 t x)) x) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x)) x))))
(/.f64 (fma.f64 (.f64 x x) x (pow.f64 (.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (.f64 t x)) (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (.f64 t x)) (neg.f64 x))) (pow.f64 (.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (.f64 t x)) x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (.f64 t x)) (neg.f64 x) (neg.f64 x)) (-.f64 (pow.f64 (.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (.f64 t x)) x) #s(literal 2 binary64)) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (.f64 t x)) (neg.f64 x))) (pow.f64 (.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (.f64 t x)) x) #s(literal 2 binary64))) (fma.f64 (.f64 x x) x (pow.f64 (.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (.f64 t x)) (neg.f64 x)) #s(literal 3 binary64)))))
(fma.f64 (.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (*.f64 t x)) #s(literal -1 binary64)) x x)
(fma.f64 (/.f64 (neg.f64 x) t) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x) x)
(fma.f64 (/.f64 (neg.f64 x) x) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)
(fma.f64 (.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 t x)) x)
(fma.f64 #s(literal -1 binary64) (.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (*.f64 t x)) x) x)
(fma.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (.f64 t x)) (neg.f64 x) x)
(fma.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 t x)) (neg.f64 x)) x)
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (.f64 t x)) x)
(fma.f64 x (neg.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (.f64 t x))) x)
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (.f64 t x)) x) #s(literal 2 binary64)) (fma.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (.f64 t x)) (neg.f64 x) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (.f64 t x)) (neg.f64 x) (neg.f64 x))))
(-.f64 x (.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (*.f64 t x)) x))
(+.f64 (.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x)) x)
(+.f64 x (.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (.f64 t x)) (neg.f64 x) x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 t (log1p.f64 (.f64 y (expm1.f64 z)))) #s(literal -1 binary64)))
(.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) x) (/.f64 #s(literal 1 binary64) t))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 t x)) (pow.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 t x)) (log1p.f64 (*.f64 y (expm1.f64 z))))
(.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) x))
(.f64 (neg.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) x)))
(.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (*.f64 t x)))
(.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (/.f64 #s(literal 1 binary64) (*.f64 t x)))
(pow.f64 (/.f64 t (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 t x) (log1p.f64 (.f64 y (expm1.f64 z)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 t x) (log1p.f64 (.f64 y (expm1.f64 z)))) #s(literal -1 binary64))
(/.f64 (.f64 (log1p.f64 (.f64 y (expm1.f64 z))) #s(literal 1 binary64)) (*.f64 t x))
(/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)
(/.f64 (neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x)) (neg.f64 t))
(/.f64 (neg.f64 (neg.f64 (log1p.f64 (.f64 y (expm1.f64 z))))) (neg.f64 (.f64 (neg.f64 t) x)))
(/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x) t)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 t x) (log1p.f64 (.f64 y (expm1.f64 z))))))
(/.f64 (neg.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) (.f64 (neg.f64 t) x))
(/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 t x) (log1p.f64 (.f64 y (expm1.f64 z)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 t x) (log1p.f64 (.f64 y (expm1.f64 z)))))
(/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (.f64 t x))
(neg.f64 (/.f64 (neg.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) (.f64 t x)))
(neg.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (.f64 (neg.f64 t) x)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 t x) (log1p.f64 (*.f64 y (expm1.f64 z))))) #s(literal -1 binary64)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 y t) (neg.f64 z) x))
(.f64 (-.f64 (/.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 t t)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (neg.f64 z) y) t) x)))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 y y) y) (.f64 (.f64 t t) t)) (.f64 (.f64 z z) (neg.f64 z)) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (/.f64 (.f64 (neg.f64 z) y) t)) (/.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 t t)))))
(pow.f64 (/.f64 (-.f64 (/.f64 (.f64 (neg.f64 z) y) t) x) (-.f64 (/.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 t t)) (.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (/.f64 (.f64 (neg.f64 z) y) t)) (/.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 t t))) (fma.f64 (/.f64 (.f64 (.f64 y y) y) (.f64 (.f64 t t) t)) (.f64 (.f64 z z) (neg.f64 z)) (.f64 (*.f64 x x) x))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 x x) (/.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 t t))) (-.f64 x (/.f64 (.f64 (neg.f64 z) y) t)))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 t t)) (.f64 x x))) (neg.f64 (-.f64 (/.f64 (.f64 (neg.f64 z) y) t) x)))
(/.f64 (neg.f64 (fma.f64 (/.f64 (.f64 (.f64 y y) y) (.f64 (.f64 t t) t)) (.f64 (.f64 z z) (neg.f64 z)) (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 x (-.f64 x (/.f64 (.f64 (neg.f64 z) y) t)) (/.f64 (.f64 (.f64 y z) (.f64 y z)) (*.f64 t t)))))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 t t)) (.f64 x x)) (-.f64 (/.f64 (.f64 (neg.f64 z) y) t) x))
(/.f64 (fma.f64 (/.f64 (.f64 (.f64 y y) y) (.f64 (.f64 t t) t)) (.f64 (.f64 z z) (neg.f64 z)) (.f64 (.f64 x x) x)) (fma.f64 x x (/.f64 (-.f64 (.f64 (.f64 (neg.f64 z) y) (/.f64 (.f64 (neg.f64 z) y) t)) (.f64 (*.f64 (neg.f64 z) y) x)) t)))
(/.f64 (fma.f64 (/.f64 (.f64 (.f64 y y) y) (.f64 (.f64 t t) t)) (.f64 (.f64 z z) (neg.f64 z)) (.f64 (.f64 x x) x)) (fma.f64 x (-.f64 x (/.f64 (.f64 (neg.f64 z) y) t)) (/.f64 (.f64 (.f64 y z) (.f64 y z)) (*.f64 t t))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (.f64 (neg.f64 z) y) t) x) (-.f64 (/.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 t t)) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (/.f64 (.f64 (neg.f64 z) y) t)) (/.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 t t))) (fma.f64 (/.f64 (.f64 (.f64 y y) y) (.f64 (.f64 t t) t)) (.f64 (.f64 z z) (neg.f64 z)) (.f64 (*.f64 x x) x))))
(fma.f64 (*.f64 (/.f64 y t) #s(literal -1 binary64)) z x)
(fma.f64 (*.f64 (neg.f64 z) y) (/.f64 #s(literal 1 binary64) t) x)
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 y t) z) x)
(fma.f64 (/.f64 y t) (neg.f64 z) x)
(fma.f64 (neg.f64 z) (/.f64 y t) x)
(fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) t) (neg.f64 z)) x)
(fma.f64 z (neg.f64 (/.f64 y t)) x)
(-.f64 (/.f64 (/.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 t t)) (-.f64 (/.f64 (.f64 (neg.f64 z) y) t) x)) (/.f64 (.f64 x x) (-.f64 (/.f64 (*.f64 (neg.f64 z) y) t) x)))
(-.f64 x (*.f64 (/.f64 y t) z))
(+.f64 (/.f64 (*.f64 (neg.f64 z) y) t) x)
(+.f64 x (/.f64 (*.f64 (neg.f64 z) y) t))
(*.f64 #s(literal -1 binary64) z)
(*.f64 z #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) z)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 z z) z)) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))
(neg.f64 z)
(-.f64 #s(literal 0 binary64) z)
(+.f64 #s(literal 0 binary64) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 t)))
(*.f64 (/.f64 #s(literal 1 binary64) t) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) t) y)
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 t)))
(*.f64 #s(literal 1 binary64) (/.f64 y t))
(*.f64 y (/.f64 #s(literal 1 binary64) t))
(pow.f64 (/.f64 (/.f64 t y) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 t y) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 t)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 t y)))
(/.f64 (neg.f64 y) (neg.f64 t))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 t y))
(/.f64 y t)
(neg.f64 (/.f64 (neg.f64 y) t))
(neg.f64 (/.f64 y (neg.f64 t)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 t)) (/.f64 y (neg.f64 t)))
(exp.f64 (*.f64 (log.f64 (/.f64 t y)) #s(literal -1 binary64)))
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(pow.f64 (/.f64 (fma.f64 (.f64 z z) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 z #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 z z) z) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 z z) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z)))
(/.f64 (neg.f64 (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 z z) z) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (.f64 z z) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 z #s(literal 1/12 binary64))))))
(/.f64 (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) z #s(literal -1/2 binary64)))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 z z) z) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 z z) #s(literal 1/36 binary64)) (*.f64 z #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 z z) z) #s(literal 1/8 binary64)) (fma.f64 (.f64 z z) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 z #s(literal 1/12 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal -1/2 binary64)) (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 z z) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 z #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 z z) z) #s(literal 1/8 binary64))))
(fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))
(fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 (.f64 (.f64 z z) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/6 binary64) z #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) z #s(literal -1/2 binary64))))
(+.f64 (*.f64 #s(literal 1/6 binary64) z) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z))

eval149.0ms (0.7%)

Memory: -23.2MiB live, 247.2MiB allocated
Compiler: Compiled 20 601 to 1 588 computations (92.3% saved)

prune211.0ms (1%)

Memory

-5.1MiB live, 321.8MiB allocated

Pruning

33 alts after pruning (30 fresh and 3 done)

	Pruned	Kept	Total
New	1 029	23	1 052
Fresh	2	7	9
Picked	2	3	5
Done	0	0	0
Total	1 033	33	1 066

Accuracy

100.0%

Counts

1 066 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	84.1%	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x)
	67.1%	(fma.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) t) x)
▶	65.6%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)))) t))
✓	67.1%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z #s(literal 1 binary64)))) t))
	75.6%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
	33.2%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))
	75.9%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
	61.1%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 z (-.f64 #s(literal 1 binary64) y)) y) (.f64 (.f64 z (-.f64 #s(literal 1 binary64) y)) y)) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) z) (fma.f64 (.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) #s(literal 1/2 binary64)) z (neg.f64 y)))) t))
	69.9%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y y) z)) t))
✓	86.0%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
	71.1%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* 1/2 z) (+ (* (neg y) y) y)) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y)) z)) t))
	62.8%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* 1/2 z) (+ (* (neg y) y) y)) y) (.f64 (.f64 #s(literal -1/2 binary64) z) (*.f64 y y))) z)) t))
	77.0%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
▶	69.9%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y))) t))
	64.8%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (+ (* (* 1/2 z) (+ (* (neg y) y) y)) y) z) (.f64 (.f64 (.f64 (.f64 z y) z) y) #s(literal -1/2 binary64)))) t))
	67.1%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z #s(literal 1 binary64)))))))
	64.4%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) (*.f64 #s(literal 1/2 binary64) z) y) z)))))
	77.3%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y)))
	81.3%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (neg.f64 x) t) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x) x))
	77.0%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (*.f64 (neg.f64 z) y) (/.f64 #s(literal 1 binary64) t) x))
✓	76.2%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
	76.6%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 t y)) x))
	67.7%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) z) y (.f64 #s(literal 1/6 binary64) y)) z (.f64 #s(literal 1/2 binary64) y)) z y) z))) (*.f64 x t)) x))
	78.1%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (.f64 z y))) (.f64 x t)) x))
	66.2%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y y) z)) (*.f64 x t)) x))
	80.0%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 (expm1.f64 z) y)) (.f64 x t)) x))
▶	92.0%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x))) x))
	77.3%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) t) (neg.f64 z)) x))
▶	35.8%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (-.f64 (/.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 t t)) (.f64 x x)) (-.f64 (/.f64 (.f64 (neg.f64 z) y) t) x)))
	24.7%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
	35.8%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (-.f64 (/.f64 (/.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 t t)) (-.f64 (/.f64 (.f64 (neg.f64 z) y) t) x)) (/.f64 (.f64 x x) (-.f64 (/.f64 (*.f64 (neg.f64 z) y) t) x))))
	74.4%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (fma.f64 (/.f64 z (.f64 x t)) y #s(literal -1 binary64)) (neg.f64 x))))
▶	11.1%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z)))

Compiler

Compiled 1 227 to 717 computations (41.6% saved)

simplify137.0ms (0.6%)

Memory

20.5MiB live, 206.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)))
cost-diff	0	(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64))))
cost-diff	0	(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)))) t)
cost-diff	0	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)))) t))
cost-diff	0	(-.f64 (/.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 t t)) (*.f64 x x))
cost-diff	0	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (-.f64 (/.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 t t)) (.f64 x x)) (-.f64 (/.f64 (.f64 (neg.f64 z) y) t) x)))
cost-diff	128	(-.f64 (/.f64 (*.f64 (neg.f64 z) y) t) x)
cost-diff	3200	(/.f64 (-.f64 (/.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 t t)) (.f64 x x)) (-.f64 (/.f64 (.f64 (neg.f64 z) y) t) x))
cost-diff	0	#s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y))
cost-diff	0	#s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y)))
cost-diff	0	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y))) t)
cost-diff	0	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y))) t))
cost-diff	0	(/.f64 (neg.f64 y) t)
cost-diff	0	(*.f64 (/.f64 (neg.f64 y) t) z)
cost-diff	0	#s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z))
cost-diff	0	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z)))
cost-diff	0	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x))) x))
cost-diff	384	(/.f64 t (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x))
cost-diff	640	(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x))) x)
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x)))

Rules

3 637×	`lower-fma.f32`
3 634×	`lower-fma.f64`
1 667×	`lower-*.f32`
1 658×	`lower-*.f64`
984×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	491
0	91	491
1	164	487
2	348	451
3	911	443
4	2564	409
5	5538	409
0	8094	403

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x))) x))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x))) x)
(neg.f64 x)
x
(/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x)))
#s(literal 1 binary64)
(/.f64 t (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x))
t
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x)
(log1p.f64 (*.f64 y (expm1.f64 z)))
(*.f64 y (expm1.f64 z))
y
(expm1.f64 z)
z
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z)))
#s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z))
(*.f64 (/.f64 (neg.f64 y) t) z)
(/.f64 (neg.f64 y) t)
(neg.f64 y)
y
t
z
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y))) t))
x
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y))) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y)))
#s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y))
(.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y)
(fma.f64 (*.f64 z z) #s(literal 1/2 binary64) z)
(*.f64 z z)
z
#s(literal 1/2 binary64)
y
t
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (-.f64 (/.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 t t)) (.f64 x x)) (-.f64 (/.f64 (.f64 (neg.f64 z) y) t) x)))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 t t)) (.f64 x x)) (-.f64 (/.f64 (.f64 (neg.f64 z) y) t) x))
(-.f64 (/.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 t t)) (*.f64 x x))
(/.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 t t))
(.f64 (.f64 y z) (*.f64 y z))
(*.f64 y z)
y
z
(*.f64 t t)
t
(*.f64 x x)
x
(-.f64 (/.f64 (*.f64 (neg.f64 z) y) t) x)
(/.f64 (*.f64 (neg.f64 z) y) t)
(*.f64 (neg.f64 z) y)
(neg.f64 z)
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)))) t))
x
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64))
(fma.f64 (*.f64 z z) #s(literal 1/2 binary64) z)
(*.f64 z z)
z
#s(literal 1/2 binary64)
y
#s(literal 1 binary64)
t

Outputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x))) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x))) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(neg.f64 x)
x
(/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x)))
(/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 t x))
#s(literal 1 binary64)
(/.f64 t (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x))
(/.f64 (.f64 t x) (log1p.f64 (.f64 (expm1.f64 z) y)))
t
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) x)
(log1p.f64 (*.f64 y (expm1.f64 z)))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(*.f64 y (expm1.f64 z))
(*.f64 (expm1.f64 z) y)
y
(expm1.f64 z)
z
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 z) t) y)))
#s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z))
#s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 z) t) y))
(*.f64 (/.f64 (neg.f64 y) t) z)
(*.f64 (/.f64 (neg.f64 z) t) y)
(/.f64 (neg.f64 y) t)
(neg.f64 y)
y
t
z
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) z y) z))) t))
x
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y))) t)
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) z y) z))) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y)))
#s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) z y) z)))
#s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y))
#s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) z y) z))
(.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y)
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) z y) z)
(fma.f64 (*.f64 z z) #s(literal 1/2 binary64) z)
(*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)
(*.f64 z z)
z
#s(literal 1/2 binary64)
y
t
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (-.f64 (/.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 t t)) (.f64 x x)) (-.f64 (/.f64 (.f64 (neg.f64 z) y) t) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (neg.f64 z) t) y x))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 t t)) (.f64 x x)) (-.f64 (/.f64 (.f64 (neg.f64 z) y) t) x))
(fma.f64 (/.f64 (neg.f64 z) t) y x)
(-.f64 (/.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 t t)) (*.f64 x x))
(fma.f64 (.f64 (.f64 (/.f64 y (.f64 t t)) y) z) z (.f64 (neg.f64 x) x))
(/.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 t t))
(.f64 (.f64 (.f64 (/.f64 y (.f64 t t)) y) z) z)
(.f64 (.f64 y z) (*.f64 y z))
(.f64 (.f64 (*.f64 z y) z) y)
(*.f64 y z)
(*.f64 z y)
y
z
(*.f64 t t)
t
(*.f64 x x)
x
(-.f64 (/.f64 (*.f64 (neg.f64 z) y) t) x)
(neg.f64 (fma.f64 (/.f64 z t) y x))
(/.f64 (*.f64 (neg.f64 z) y) t)
(*.f64 (/.f64 (neg.f64 z) t) y)
(*.f64 (neg.f64 z) y)
(neg.f64 z)
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)))) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z y) z #s(literal 1 binary64)))) t))
x
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)))) t)
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z y) z #s(literal 1 binary64)))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64))))
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z y) z #s(literal 1 binary64))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z y) z #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z y) z #s(literal 1 binary64))
(fma.f64 (*.f64 z z) #s(literal 1/2 binary64) z)
(*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)
(*.f64 z z)
z
#s(literal 1/2 binary64)
y
#s(literal 1 binary64)
t

localize394.0ms (1.9%)

Memory

5.6MiB live, 451.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	3.1003285038120088	(fma.f64 (fma.f64 (*.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64))
accuracy	4.144132226627741	(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)))) t)
accuracy	16.480763585278947	#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)))
accuracy	33.7923186151938	(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64))))
accuracy	5.108358080062989	(/.f64 (*.f64 (neg.f64 z) y) t)
accuracy	13.112021215026779	(/.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 t t))
accuracy	13.431444743686207	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (-.f64 (/.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 t t)) (.f64 x x)) (-.f64 (/.f64 (.f64 (neg.f64 z) y) t) x)))
accuracy	29.622044065387097	(/.f64 (-.f64 (/.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 t t)) (.f64 x x)) (-.f64 (/.f64 (.f64 (neg.f64 z) y) t) x))
accuracy	3.1042347538120088	(.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y)
accuracy	4.144132226627741	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y))) t)
accuracy	12.225105918662392	#s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y)))
accuracy	19.890037936676237	#s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y))
accuracy	0	(neg.f64 y)
accuracy	4.219434697860665	(*.f64 (/.f64 (neg.f64 y) t) z)
accuracy	13.431444743686207	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z)))
accuracy	42.670248813841575	#s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z))
accuracy	1.1287435315502132	(/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x)))
accuracy	3.2999210332620548	(/.f64 t (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x))
accuracy	3.804738005775342	(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x))) x)
accuracy	5.292193313453688	(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x)

Samples

182.0ms	160×	1	valid
80.0ms	67×	2	valid
10.0ms	29×	0	valid

Compiler

Compiled 370 to 47 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 206.0ms

ival-log: 37.0ms (18% of total)

ival-mult: 35.0ms (17% of total)

ival-sub: 33.0ms (16.1% of total)

ival-div: 25.0ms (12.2% of total)

adjust: 23.0ms (11.2% of total)

ival-exp: 20.0ms (9.7% of total)

ival-expm1: 15.0ms (7.3% of total)

ival-add: 9.0ms (4.4% of total)

ival-log1p: 4.0ms (1.9% of total)

ival-neg: 3.0ms (1.5% of total)

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

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

exact: 0.0ms (0% of total)

series88.0ms (0.4%)

Memory

11.6MiB live, 166.3MiB allocated

Counts

26 → 972

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) x))) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) x))) x) (patch (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) x))) x) #<representation binary64>) () ())
#s(alt (/.f64 t (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) x)) (patch (/.f64 t (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) x)) #<representation binary64>) () ())
#s(alt #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) x))) x)) (patch #s(approx (- x (/ (log (+ (- 1 y) ( y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x))) x)) #<representation binary64>) () ())
#s(alt #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 (neg.f64 y) t) z))) (patch #s(approx (- x (/ (log (+ (- 1 y) ( y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 (neg.f64 y) t) z)) (patch #s(approx (+ ( (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (neg.f64 y) t) z) (patch (.f64 (/.f64 (neg.f64 y) t) z) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 y) t) (patch (/.f64 (neg.f64 y) t) #<representation binary64>) () ())
#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y))) t)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y))) t) (patch (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y))) t) #<representation binary64>) () ())
#s(alt #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y))) (patch #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y))) #<representation binary64>) () ())
#s(alt #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y)) (patch #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (/.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 t t)) (.f64 x x)) (-.f64 (/.f64 (.f64 (neg.f64 z) y) t) x)) (patch (/.f64 (-.f64 (/.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 t t)) (.f64 x x)) (-.f64 (/.f64 (.f64 (neg.f64 z) y) t) x)) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (.f64 (neg.f64 z) y) t) x) (patch (-.f64 (/.f64 (.f64 (neg.f64 z) y) t) x) #<representation binary64>) () ())
#s(alt #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (-.f64 (/.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 t t)) (.f64 x x)) (-.f64 (/.f64 (.f64 (neg.f64 z) y) t) x))) (patch #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (-.f64 (/.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 t t)) (.f64 x x)) (-.f64 (/.f64 (.f64 (neg.f64 z) y) t) x))) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 t t)) (.f64 x x)) (patch (-.f64 (/.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 t t)) (.f64 x x)) #<representation binary64>) () ())
#s(alt (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)))) t)) (patch (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (fma.f64 (fma.f64 (*.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)))) t)) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)))) t) (patch (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (fma.f64 (fma.f64 (*.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)))) t) #<representation binary64>) () ())
#s(alt (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)))) (patch (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (fma.f64 (fma.f64 (*.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64))) (patch #s(approx (+ (- 1 y) ( y (exp z))) (fma.f64 (fma.f64 (*.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) x) (patch (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) x) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y) (patch (.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 t t)) (patch (/.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 t t)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (neg.f64 z) y) t) (patch (/.f64 (.f64 (neg.f64 z) y) t) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) x))) #<representation binary64>) () ())) ())
#s(alt (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) x))) #<representation binary64>) () ())) ())
#s(alt (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) x))) #<representation binary64>) () ())) ())
#s(alt (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) x))) #<representation binary64>) () ())) ())
#s(alt (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) (taylor inf t) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) x))) #<representation binary64>) () ())) ())
#s(alt (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) (taylor inf t) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) x))) #<representation binary64>) () ())) ())
#s(alt (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) (taylor inf t) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) x))) #<representation binary64>) () ())) ())
#s(alt (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) (taylor inf t) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) x))) #<representation binary64>) () ())) ())
#s(alt (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) (taylor -inf t) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) x))) #<representation binary64>) () ())) ())
#s(alt (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) (taylor -inf t) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) x))) #<representation binary64>) () ())) ())
#s(alt (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) (taylor -inf t) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) x))) #<representation binary64>) () ())) ())
#s(alt (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) (taylor -inf t) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) x))) #<representation binary64>) () ())) ())
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#s(alt (* (pow z 2) (+ (* 1/2 y) (+ (/ 1 (pow z 2)) (/ y z)))) (taylor inf z) (#s(alt (fma.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (* 1/2 y) (+ (/ 1 (pow z 2)) (/ y z)))) (taylor inf z) (#s(alt (fma.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y (pow z 2))) (taylor -inf z) (#s(alt (fma.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (* 1/2 y) (/ y z))) (taylor -inf z) (#s(alt (fma.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (* -1 (/ (- (* -1 y) (/ 1 z)) z)) (* 1/2 y))) (taylor -inf z) (#s(alt (fma.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (* -1 (/ (- (* -1 y) (/ 1 z)) z)) (* 1/2 y))) (taylor -inf z) (#s(alt (fma.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ z (* 1/2 (pow z 2))))) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ z (* 1/2 (pow z 2))))) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ z (* 1/2 (pow z 2))))) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ z (* 1/2 (pow z 2)))) (taylor inf y) (#s(alt (fma.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ z (+ (* 1/2 (pow z 2)) (/ 1 y)))) (taylor inf y) (#s(alt (fma.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ z (+ (* 1/2 (pow z 2)) (/ 1 y)))) (taylor inf y) (#s(alt (fma.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ z (+ (* 1/2 (pow z 2)) (/ 1 y)))) (taylor inf y) (#s(alt (fma.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ z (* 1/2 (pow z 2)))) (taylor -inf y) (#s(alt (fma.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (+ z (* 1/2 (pow z 2)))) (/ 1 y)))) (taylor -inf y) (#s(alt (fma.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (+ z (* 1/2 (pow z 2)))) (/ 1 y)))) (taylor -inf y) (#s(alt (fma.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (+ z (* 1/2 (pow z 2)))) (/ 1 y)))) (taylor -inf y) (#s(alt (fma.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())

Calls

243 calls:

Time	Variable		Point	Expression
5.0ms	y	@	-inf	(/ t (/ (log (+ 1 (* y (- (exp z) 1)))) x))
3.0ms	x	@	-inf	(- (/ (* (* y z) (* y z)) (* t t)) (* x x))
2.0ms	x	@	-inf	(/ (- (/ (* (* y z) (* y z)) (* t t)) (* x x)) (- (/ (* (neg z) y) t) x))
1.0ms	y	@	inf	(/ t (/ (log (+ 1 (* y (- (exp z) 1)))) x))
1.0ms	z	@	0	(/ t (/ (log (+ 1 (* y (- (exp z) 1)))) x))

simplify412.0ms (2%)

Memory

-1.6MiB live, 387.3MiB allocated

Algorithm

1×	egg-herbie

Rules

5 060×	`lower-fma.f64`
5 060×	`lower-fma.f32`
3 818×	`lower-*.f64`
3 818×	`lower-*.f32`
2 326×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	896	14700
1	2893	13986
0	8638	11715

Stop Event

1×	iter limit
1×	node limit

Counts

972 → 924

Calls

Call 1

Inputs
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
(/ (* y (- (exp z) 1)) (* t x))
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) (* t x))) (/ (exp z) (* t x))) (/ 1 (* t x))))
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) (* t x))) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) (* t x))))) (/ (exp z) (* t x))) (/ 1 (* t x))))
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) (* t x))) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) (* t x))) (* 1/3 (/ (pow (- (exp z) 1) 3) (* t x))))))) (/ (exp z) (* t x))) (/ 1 (* t x))))
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) (* t x))
(+ (* -1 (/ (log (/ 1 y)) (* t x))) (+ (/ 1 (* t (* x (* y (- (exp z) 1))))) (/ (log (- (exp z) 1)) (* t x))))
(- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (+ (/ 1 (* t (* x (* y (- (exp z) 1))))) (/ (log (- (exp z) 1)) (* t x)))) (/ 1/2 (* t (* x (* (pow y 2) (pow (- (exp z) 1) 2))))))
(- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (+ (/ 1 (* t (* x (* y (- (exp z) 1))))) (+ (* 1/3 (/ 1 (* t (* x (* (pow y 3) (pow (- (exp z) 1) 3)))))) (/ (log (- (exp z) 1)) (* t x))))) (* 1/2 (/ 1 (* t (* x (* (pow y 2) (pow (- (exp z) 1) 2)))))))
(/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) (* t x))
(+ (* -1 (/ (log (/ -1 y)) (* t x))) (+ (/ 1 (* t (* x (* y (- (exp z) 1))))) (/ (log (* -1 (- (exp z) 1))) (* t x))))
(+ (* -1 (/ (log (/ -1 y)) (* t x))) (+ (* -1 (/ (- (* 1/2 (/ 1 (* t (* x (* y (pow (- (exp z) 1) 2)))))) (/ 1 (* t (* x (- (exp z) 1))))) y)) (/ (log (* -1 (- (exp z) 1))) (* t x))))
(+ (* -1 (/ (log (/ -1 y)) (* t x))) (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* t (* x (* y (pow (- (exp z) 1) 3)))))) (* 1/2 (/ 1 (* t (* x (pow (- (exp z) 1) 2)))))) y)) (/ 1 (* t (* x (- (exp z) 1))))) y)) (/ (log (* -1 (- (exp z) 1))) (* t x))))
(/ (* y z) (* t x))
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) (* t x))) (/ y (* t x))))
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (* t x))) (* 1/2 (/ (+ y (* -1 (pow y 2))) (* t x))))) (/ y (* t x))))
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) (* t x))) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) (* t x))) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) (* t x))))))) (/ y (* t x))))
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
x
(* x (+ 1 (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)))))
(* x (+ 1 (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)))))
(* x (+ 1 (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)))))
x
(* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1)))
(* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1)))
(* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1)))
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))
(/ (+ (* -1 (log (+ 1 (* y (- (exp z) 1))))) (* t x)) t)
(/ (+ (* -1 (log (+ 1 (* y (- (exp z) 1))))) (* t x)) t)
(/ (+ (* -1 (log (+ 1 (* y (- (exp z) 1))))) (* t x)) t)
x
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
x
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
x
(+ x (* -1 (/ (* y (- (exp z) 1)) t)))
(+ x (* y (+ (* -1 (/ (- (exp z) 1) t)) (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)))))
(+ x (* y (+ (* -1 (/ (- (exp z) 1) t)) (* y (+ (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* 1/2 (/ (pow (- (exp z) 1) 2) t)))))))
(+ x (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)))
(- (+ x (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t))) (/ 1 (* t (* y (- (exp z) 1)))))
(- (+ x (+ (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (/ 1 (* t (* y (- (exp z) 1)))))
(- (+ x (+ (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))))) (+ (/ 1 (* t (* y (- (exp z) 1)))) (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3)))))))
(+ x (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)))
(- (+ x (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t))) (/ 1 (* t (* y (- (exp z) 1)))))
(+ x (+ (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)) (* -1 (/ (- (/ 1 (* t (- (exp z) 1))) (* 1/2 (/ 1 (* t (* y (pow (- (exp z) 1) 2)))))) y))))
(+ x (+ (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ 1 (* t (pow (- (exp z) 1) 2)))) (* 1/3 (/ 1 (* t (* y (pow (- (exp z) 1) 3)))))) y)) (/ 1 (* t (- (exp z) 1)))) y))))
x
(+ x (* -1 (/ (* y z) t)))
(+ x (* z (+ (* -1 (/ y t)) (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)))))
(+ x (* z (+ (* -1 (/ y t)) (* z (+ (* -1/2 (/ (+ y (* -1 (pow y 2))) t)) (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)))))))
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
(/ (* t x) (log (+ 1 (* y (- (exp z) 1)))))
(/ (* t x) (log (+ 1 (* y (- (exp z) 1)))))
(/ (* t x) (log (+ 1 (* y (- (exp z) 1)))))
(/ (* t x) (log (+ 1 (* y (- (exp z) 1)))))
(/ (* t x) (log (+ 1 (* y (- (exp z) 1)))))
(/ (* t x) (log (+ 1 (* y (- (exp z) 1)))))
(/ (* t x) (log (+ 1 (* y (- (exp z) 1)))))
(/ (* t x) (log (+ 1 (* y (- (exp z) 1)))))
(/ (* t x) (log (+ 1 (* y (- (exp z) 1)))))
(/ (* t x) (log (+ 1 (* y (- (exp z) 1)))))
(/ (* t x) (log (+ 1 (* y (- (exp z) 1)))))
(/ (* t x) (log (+ 1 (* y (- (exp z) 1)))))
(/ (* t x) (* y (- (exp z) 1)))
(/ (+ (* 1/2 (* t (* x y))) (/ (* t x) (- (exp z) 1))) y)
(/ (+ (* y (- (* -1 (* y (+ (* -1/4 (* t (* x (- (exp z) 1)))) (* 1/3 (* t (* x (- (exp z) 1))))))) (* -1/2 (* t x)))) (/ (* t x) (- (exp z) 1))) y)
(/ (+ (* y (- (* y (- (* -1 (* y (+ (* -1/4 (* t (* x (pow (- (exp z) 1) 2)))) (+ (* 1/6 (* t (* x (pow (- (exp z) 1) 2)))) (* 1/2 (* (+ (* -1/4 (* t (* x (- (exp z) 1)))) (* 1/3 (* t (* x (- (exp z) 1))))) (- (exp z) 1))))))) (+ (* -1/4 (* t (* x (- (exp z) 1)))) (* 1/3 (* t (* x (- (exp z) 1))))))) (* -1/2 (* t x)))) (/ (* t x) (- (exp z) 1))) y)
(/ (* t x) (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))))
(+ (* -1 (/ (* t x) (* y (* (pow (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) 2) (- (exp z) 1))))) (/ (* t x) (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y))))))
(- (+ (* -1 (/ (+ (* -1 (/ (* t x) (* (pow (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) 3) (pow (- (exp z) 1) 2)))) (* -1/2 (/ (* t x) (* (pow (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) 2) (pow (- (exp z) 1) 2))))) (pow y 2))) (/ (* t x) (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))))) (/ (* t x) (* y (* (pow (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) 2) (- (exp z) 1)))))
(- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* t x) (* (pow (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) 3) (pow (- (exp z) 1) 2)))) (* -1/2 (/ (* t x) (* (pow (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) 2) (pow (- (exp z) 1) 2))))) (* (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) (- (exp z) 1)))) (+ (* 1/3 (/ (* t x) (* (pow (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) 2) (pow (- (exp z) 1) 3)))) (* 1/2 (/ (* t x) (* (pow (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) 3) (pow (- (exp z) 1) 3)))))) (pow y 3))) (/ (* t x) (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))))) (+ (* -1 (/ (* t x) (* (pow y 2) (* (pow (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) 3) (pow (- (exp z) 1) 2))))) (+ (* -1/2 (/ (* t x) (* (pow y 2) (* (pow (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) 2) (pow (- (exp z) 1) 2))))) (/ (* t x) (* y (* (pow (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) 2) (- (exp z) 1)))))))
(/ (* t x) (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))))
(+ (* -1 (/ (* t x) (* y (* (pow (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) 2) (- (exp z) 1))))) (/ (* t x) (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y))))))
(+ (* -1 (/ (- (+ (* -1 (/ (* t x) (* y (* (pow (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) 3) (pow (- (exp z) 1) 2))))) (* -1/2 (/ (* t x) (* y (* (pow (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) 2) (pow (- (exp z) 1) 2)))))) (* -1 (/ (* t x) (* (pow (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) 2) (- (exp z) 1))))) y)) (/ (* t x) (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y))))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* t x) (* y (* (pow (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) 3) (pow (- (exp z) 1) 3))))) (+ (* -1 (/ (* t x) (* y (* (pow (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) 4) (pow (- (exp z) 1) 3))))) (* -1/3 (/ (* t x) (* y (* (pow (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) 2) (pow (- (exp z) 1) 3))))))) (+ (* -1 (/ (* t x) (* (pow (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) 3) (pow (- (exp z) 1) 2)))) (* -1/2 (/ (* t x) (* (pow (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) 2) (pow (- (exp z) 1) 2)))))) y)) (* -1 (/ (* t x) (* (pow (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) 2) (- (exp z) 1))))) y)) (/ (* t x) (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y))))))
(/ (* t x) (* y z))
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(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z)
(* (pow z 2) (+ (* 1/2 y) (+ (/ 1 (pow z 2)) (/ y z))))
(.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 #s(literal 1 binary64) (.f64 z z))) (/.f64 y z)) (*.f64 z z))
(* (pow z 2) (+ (* 1/2 y) (+ (/ 1 (pow z 2)) (/ y z))))
(.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 #s(literal 1 binary64) (.f64 z z))) (/.f64 y z)) (*.f64 z z))
(* 1/2 (* y (pow z 2)))
(.f64 (.f64 z #s(literal 1/2 binary64)) (*.f64 z y))
(* (pow z 2) (+ (* 1/2 y) (/ y z)))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z)
(* (pow z 2) (+ (* -1 (/ (- (* -1 y) (/ 1 z)) z)) (* 1/2 y)))
(.f64 (.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 (neg.f64 (+.f64 y (/.f64 #s(literal 1 binary64) z))) z)) z) z)
(* (pow z 2) (+ (* -1 (/ (- (* -1 y) (/ 1 z)) z)) (* 1/2 y)))
(.f64 (.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 (neg.f64 (+.f64 y (/.f64 #s(literal 1 binary64) z))) z)) z) z)
1
#s(literal 1 binary64)
(+ 1 (* y (+ z (* 1/2 (pow z 2)))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) z z) y #s(literal 1 binary64))
(+ 1 (* y (+ z (* 1/2 (pow z 2)))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) z z) y #s(literal 1 binary64))
(+ 1 (* y (+ z (* 1/2 (pow z 2)))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) z z) y #s(literal 1 binary64))
(* y (+ z (* 1/2 (pow z 2))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z) y)
(* y (+ z (+ (* 1/2 (pow z 2)) (/ 1 y))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) z (+.f64 (/.f64 #s(literal 1 binary64) y) z)) y)
(* y (+ z (+ (* 1/2 (pow z 2)) (/ 1 y))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) z (+.f64 (/.f64 #s(literal 1 binary64) y) z)) y)
(* y (+ z (+ (* 1/2 (pow z 2)) (/ 1 y))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) z (+.f64 (/.f64 #s(literal 1 binary64) y) z)) y)
(* y (+ z (* 1/2 (pow z 2))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z) y)
(* -1 (* y (- (* -1 (+ z (* 1/2 (pow z 2)))) (/ 1 y))))
(.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) z (+.f64 (/.f64 #s(literal 1 binary64) y) z))) (neg.f64 y))
(* -1 (* y (- (* -1 (+ z (* 1/2 (pow z 2)))) (/ 1 y))))
(.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) z (+.f64 (/.f64 #s(literal 1 binary64) y) z))) (neg.f64 y))
(* -1 (* y (- (* -1 (+ z (* 1/2 (pow z 2)))) (/ 1 y))))
(.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) z (+.f64 (/.f64 #s(literal 1 binary64) y) z))) (neg.f64 y))

rewrite397.0ms (1.9%)

Memory

-25.0MiB live, 383.4MiB allocated

Rules

3 263×	`lower-*.f32`
3 254×	`lower-*.f64`
2 615×	`lower-fma.f32`
2 612×	`lower-fma.f64`
1 888×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	415
0	91	405
1	375	365
2	3054	365
0	9607	354

Stop Event

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

Counts

26 → 660

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x)))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x))) x)
(/.f64 t (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x))) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z)))
#s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z))
(*.f64 (/.f64 (neg.f64 y) t) z)
(/.f64 (neg.f64 y) t)
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y))) t))
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y))) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y)))
#s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 t t)) (.f64 x x)) (-.f64 (/.f64 (.f64 (neg.f64 z) y) t) x))
(-.f64 (/.f64 (*.f64 (neg.f64 z) y) t) x)
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (-.f64 (/.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 t t)) (.f64 x x)) (-.f64 (/.f64 (.f64 (neg.f64 z) y) t) x)))
(-.f64 (/.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 t t)) (*.f64 x x))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)))) t))
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x)
(neg.f64 y)
(.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y)
(/.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 t t))
(/.f64 (*.f64 (neg.f64 z) y) t)
(fma.f64 (fma.f64 (*.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64))

Outputs
(.f64 (pow.f64 (/.f64 t (neg.f64 (log1p.f64 (.f64 (expm1.f64 z) y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (.f64 (expm1.f64 z) y)))) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y))) (/.f64 #s(literal 1 binary64) x))
(.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 t x)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (*.f64 t x)) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (neg.f64 t)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (log1p.f64 (.f64 (expm1.f64 z) y))) x)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (neg.f64 t)) (/.f64 (neg.f64 (log1p.f64 (.f64 (expm1.f64 z) y))) x))
(.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (.f64 (expm1.f64 z) y)))))
(.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) x))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) (neg.f64 x))))
(.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (*.f64 t x)) #s(literal 1 binary64))
(.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) x) (/.f64 #s(literal 1 binary64) t))
(.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (/.f64 (/.f64 #s(literal 1 binary64) x) t))
(.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (*.f64 t x)))
(pow.f64 (exp.f64 (log.f64 (.f64 (/.f64 t (log1p.f64 (.f64 (expm1.f64 z) y))) x))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 t x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 t x)) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 t x)) #s(literal 1 binary64))
(pow.f64 (.f64 (/.f64 t (log1p.f64 (.f64 (expm1.f64 z) y))) x) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))) x)
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) t) (neg.f64 (log1p.f64 (.f64 (expm1.f64 z) y)))) (neg.f64 x))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) t) #s(literal 1 binary64)) (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) t) (log1p.f64 (.f64 (expm1.f64 z) y))) x)
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (.f64 (expm1.f64 z) y)))) (*.f64 t (neg.f64 x)))
(/.f64 (.f64 #s(literal 1 binary64) (log1p.f64 (.f64 (expm1.f64 z) y))) (*.f64 t x))
(/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 x (log1p.f64 (*.f64 (expm1.f64 z) y))))
(/.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) x) (neg.f64 t))
(/.f64 (neg.f64 (log1p.f64 (.f64 (expm1.f64 z) y))) (.f64 t (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 t (log1p.f64 (.f64 (expm1.f64 z) y))) (neg.f64 x)))
(/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) x) t)
(/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 t x))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 t (log1p.f64 (.f64 (expm1.f64 z) y))) x))
(neg.f64 (/.f64 #s(literal -1 binary64) (.f64 (/.f64 t (log1p.f64 (.f64 (expm1.f64 z) y))) x)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) x)) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 t x)) x) #s(literal 2 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x))))
(.f64 (fma.f64 (.f64 x x) x (pow.f64 (.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 t x))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 t x)))) (pow.f64 (.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (*.f64 t x)) x) #s(literal 2 binary64)))))
(pow.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 t x)) (neg.f64 x)) (-.f64 (pow.f64 (.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 t x)) x) #s(literal 2 binary64)) (.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 t x)))) (pow.f64 (.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 t x)) x) #s(literal 2 binary64))) (fma.f64 (.f64 x x) x (pow.f64 (.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 t x))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 t x)) x) #s(literal 2 binary64))) (-.f64 x (.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (*.f64 t x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 t x)) x) #s(literal 2 binary64)) (.f64 x x))) (neg.f64 (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 t x)) (neg.f64 x))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) x (pow.f64 (.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 t x))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 t x)))) (pow.f64 (.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 t x)) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 t x)) x) #s(literal 2 binary64)) (.f64 x x)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 t x)) (neg.f64 x)))
(/.f64 (fma.f64 (.f64 x x) x (pow.f64 (.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 t x))) #s(literal 3 binary64))) (fma.f64 x x (/.f64 (-.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 t x)))) (.f64 (neg.f64 x) x)) (.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) x))))
(/.f64 (fma.f64 (.f64 x x) x (pow.f64 (.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 t x))) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 t x)))) (pow.f64 (.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 t x)) x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 t x)) (neg.f64 x)) (-.f64 (pow.f64 (.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 t x)) x) #s(literal 2 binary64)) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 t x)))) (pow.f64 (.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 t x)) x) #s(literal 2 binary64))) (fma.f64 (.f64 x x) x (pow.f64 (.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 t x))) #s(literal 3 binary64)))))
(fma.f64 (/.f64 (neg.f64 x) (neg.f64 t)) (/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) x) x)
(fma.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 t x)) x)
(fma.f64 (.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) t)) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) x) x)
(fma.f64 (.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (*.f64 t x)) #s(literal -1 binary64)) x x)
(fma.f64 (/.f64 (neg.f64 x) (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))) (/.f64 #s(literal 1 binary64) x) x)
(fma.f64 (/.f64 (neg.f64 x) t) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) x) x)
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))) (/.f64 x x) x)
(fma.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 x (/.f64 x (log1p.f64 (*.f64 (expm1.f64 z) y)))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) t) (.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) x) (neg.f64 x)) x)
(fma.f64 #s(literal -1 binary64) (.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (*.f64 t x)) x) x)
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 t x)) x)
(fma.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 t x)) (neg.f64 x) x)
(fma.f64 x (neg.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 t x))) x)
(fma.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (*.f64 t x))) x)
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 t x)) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 t x)) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 t x)) (neg.f64 x))))
(-.f64 x (.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (*.f64 t x)) x))
(+.f64 (.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (*.f64 t x))) x)
(+.f64 x (.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (*.f64 t x))))
(.f64 (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 t x)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (*.f64 t x)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 t)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (log1p.f64 (.f64 (expm1.f64 z) y))) x)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (.f64 (expm1.f64 z) y)))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -1 binary64)) (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))))
(.f64 (/.f64 t (neg.f64 (log1p.f64 (.f64 (expm1.f64 z) y)))) (neg.f64 x))
(.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 (.f64 (expm1.f64 z) y))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) t) #s(literal -1 binary64)))
(.f64 (/.f64 t #s(literal 1 binary64)) (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))))
(.f64 (/.f64 t (log1p.f64 (.f64 (expm1.f64 z) y))) (/.f64 x #s(literal 1 binary64)))
(.f64 (/.f64 t (log1p.f64 (.f64 (expm1.f64 z) y))) x)
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(.f64 (neg.f64 z) (.f64 (/.f64 y t) (*.f64 (neg.f64 z) (/.f64 y t))))
(.f64 (.f64 (.f64 (.f64 y y) z) z) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 t)) #s(literal 2 binary64)))
(.f64 (.f64 (.f64 (.f64 y y) z) z) (/.f64 #s(literal 1 binary64) (*.f64 t t)))
(.f64 (.f64 z y) (.f64 y (/.f64 z (.f64 t t))))
(.f64 (.f64 z z) (*.f64 (/.f64 y t) (/.f64 y t)))
(.f64 (.f64 z z) (pow.f64 (/.f64 (neg.f64 y) t) #s(literal 2 binary64)))
(.f64 (/.f64 y t) (pow.f64 (/.f64 t (.f64 (*.f64 z y) z)) #s(literal -1 binary64)))
(.f64 (/.f64 y t) (.f64 (neg.f64 z) (*.f64 (neg.f64 z) (/.f64 y t))))
(.f64 (/.f64 y t) (/.f64 (.f64 (*.f64 z y) z) t))
(.f64 z (.f64 y (.f64 y (/.f64 z (.f64 t t)))))
(.f64 y (/.f64 (.f64 (.f64 z y) z) (.f64 t t)))
(.f64 y (.f64 (.f64 (.f64 z y) z) (/.f64 #s(literal 1 binary64) (*.f64 t t))))
(.f64 y (.f64 z (.f64 y (/.f64 z (.f64 t t)))))
(.f64 #s(literal 1 binary64) (.f64 (.f64 y (/.f64 z (.f64 t t))) (*.f64 z y)))
(pow.f64 (/.f64 t (.f64 (.f64 (*.f64 z y) y) (/.f64 z t))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 t t) (.f64 (.f64 (.f64 y y) z) z)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 y t) z) #s(literal 2 binary64))
(pow.f64 (/.f64 (.f64 t t) (.f64 (.f64 (.f64 y y) z) z)) #s(literal -1 binary64))
(pow.f64 (/.f64 (neg.f64 t) (*.f64 z y)) #s(literal -2 binary64))
(pow.f64 (*.f64 (neg.f64 z) (/.f64 y t)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 z y) (*.f64 (neg.f64 z) (/.f64 y t))) (neg.f64 t))
(/.f64 (.f64 (.f64 (neg.f64 y) z) (*.f64 (neg.f64 z) (/.f64 y t))) t)
(/.f64 (.f64 (.f64 (neg.f64 z) (/.f64 y t)) (*.f64 z y)) (neg.f64 t))
(/.f64 (.f64 (.f64 (neg.f64 z) (/.f64 y t)) #s(literal 1 binary64)) (/.f64 (neg.f64 t) (*.f64 z y)))
(/.f64 (.f64 (.f64 (/.f64 y t) z) (*.f64 z y)) t)
(/.f64 (.f64 (.f64 (neg.f64 z) (/.f64 y t)) (*.f64 (neg.f64 y) z)) t)
(/.f64 (neg.f64 (.f64 (.f64 (*.f64 z y) y) (/.f64 z t))) (neg.f64 t))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 z y) y) (neg.f64 z))) (neg.f64 (.f64 (neg.f64 t) t)))
(/.f64 (.f64 (.f64 z y) #s(literal 1 binary64)) (.f64 (neg.f64 t) (/.f64 (neg.f64 t) (.f64 z y))))
(/.f64 (.f64 (.f64 (neg.f64 y) z) #s(literal 1 binary64)) (.f64 t (/.f64 (neg.f64 t) (.f64 z y))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 z y)) (.f64 (/.f64 (neg.f64 t) (.f64 z y)) (neg.f64 t)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) z)) (.f64 (/.f64 (neg.f64 t) (.f64 z y)) t))
(/.f64 (.f64 (.f64 (.f64 (.f64 y y) z) z) #s(literal 1 binary64)) (*.f64 t t))
(/.f64 (.f64 (.f64 (*.f64 z y) y) (/.f64 z t)) t)
(/.f64 (.f64 (.f64 (.f64 z y) y) (neg.f64 z)) (.f64 (neg.f64 t) t))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 t t) (.f64 (.f64 (.f64 y y) z) z))))
(/.f64 (.f64 (neg.f64 z) (/.f64 y t)) (/.f64 (neg.f64 t) (.f64 z y)))
(/.f64 (.f64 (.f64 (.f64 y y) z) z) (.f64 t t))
(/.f64 #s(literal 1 binary64) (/.f64 t (.f64 (.f64 (*.f64 z y) y) (/.f64 z t))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 t t) (.f64 (.f64 (.f64 y y) z) z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 t t) (.f64 (.f64 (.f64 y y) z) z)))
(neg.f64 (/.f64 (.f64 (.f64 (.f64 z y) y) (neg.f64 z)) (.f64 t t)))
(neg.f64 (/.f64 (.f64 (.f64 (.f64 y y) z) z) (.f64 (neg.f64 t) t)))
(neg.f64 (.f64 (.f64 (neg.f64 z) (/.f64 y t)) (*.f64 (/.f64 y t) z)))
(neg.f64 (.f64 (.f64 (/.f64 y t) z) (*.f64 (neg.f64 z) (/.f64 y t))))
(exp.f64 (-.f64 (.f64 (log.f64 (.f64 z y)) #s(literal 2 binary64)) (*.f64 (log.f64 t) #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 y t) z)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 t t) (.f64 (.f64 (*.f64 y y) z) z))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (neg.f64 z) (/.f64 y t))) #s(literal 2 binary64)))
(.f64 (.f64 (/.f64 y t) #s(literal -1 binary64)) z)
(.f64 (/.f64 #s(literal 1 binary64) t) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) z)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) t) (.f64 (neg.f64 y) z))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 y t) z))
(.f64 (.f64 (neg.f64 y) z) (/.f64 #s(literal 1 binary64) t))
(*.f64 (neg.f64 z) (/.f64 y t))
(.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) (neg.f64 t)))
(*.f64 (/.f64 (neg.f64 y) t) z)
(.f64 (neg.f64 y) (.f64 (/.f64 #s(literal 1 binary64) t) z))
(*.f64 (neg.f64 y) (/.f64 z t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (/.f64 (neg.f64 z) t))
(.f64 y (.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) t)))
(.f64 y (.f64 (/.f64 #s(literal 1 binary64) t) (neg.f64 z)))
(.f64 #s(literal 1 binary64) (.f64 (neg.f64 z) (/.f64 y t)))
(pow.f64 (/.f64 (/.f64 (neg.f64 t) (*.f64 z y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (neg.f64 t) (*.f64 z y)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (/.f64 t y))
(/.f64 (*.f64 #s(literal 1 binary64) z) (/.f64 (neg.f64 t) y))
(/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (/.f64 t y))
(/.f64 (*.f64 z #s(literal 1 binary64)) (/.f64 (neg.f64 t) y))
(/.f64 (.f64 (.f64 (neg.f64 y) z) #s(literal 1 binary64)) t)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 t) (*.f64 z y))))
(/.f64 (*.f64 (neg.f64 y) z) (neg.f64 (neg.f64 t)))
(/.f64 (*.f64 (neg.f64 y) z) t)
(/.f64 (neg.f64 z) (/.f64 t y))
(/.f64 (*.f64 z y) (neg.f64 t))
(/.f64 z (/.f64 (neg.f64 t) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 t) (*.f64 z y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 t) (*.f64 z y)))
(neg.f64 (*.f64 (/.f64 y t) z))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y t) z))
(exp.f64 (.f64 (log.f64 (/.f64 (neg.f64 t) (.f64 z y))) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z) y) y) (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z) y #s(literal -1 binary64))))
(.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z) (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z)) (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z)) (.f64 (.f64 y y) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z) y) (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z)) y (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z) y)))))
(pow.f64 (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z) y #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z) y) y) (fma.f64 (*.f64 #s(literal 1/2 binary64) z) z z) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z) y) (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z)) y (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z) y))) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z) (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z)) (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z)) (.f64 (*.f64 y y) y) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z) y) (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z)) y)) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) z z) y)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z) y) y) (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z) #s(literal -1 binary64))) (neg.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) z z) y #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z) (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z)) (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z)) (.f64 (.f64 y y) y) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z) y) (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z)) y (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) z z) y)))))
(/.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z) y) y) (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z) #s(literal -1 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) z z) y #s(literal -1 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z) (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z)) (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z)) (.f64 (.f64 y y) y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z) y) (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z)) y) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z) y))))
(/.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z) (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z)) (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z)) (.f64 (.f64 y y) y) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z) y) (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z)) y (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) z z) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z) y #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z) y) y) (fma.f64 (*.f64 #s(literal 1/2 binary64) z) z z) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z) y) (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z)) y (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z) y))) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z) (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z)) (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z)) (.f64 (*.f64 y y) y) #s(literal 1 binary64))))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z) y) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) z z) y #s(literal 1 binary64))
(fma.f64 y (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) z) z z) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z) y) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z) y) (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z)) y) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z) y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) z z) y #s(literal -1 binary64))))
(+.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z) y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z) y))

eval261.0ms (1.2%)

Memory: 27.4MiB live, 281.2MiB allocated
Compiler: Compiled 36 175 to 2 812 computations (92.2% saved)

prune658.0ms (3.1%)

Memory

24.0MiB live, 474.9MiB allocated

Pruning

43 alts after pruning (38 fresh and 5 done)

	Pruned	Kept	Total
New	1 559	25	1 584
Fresh	12	13	25
Picked	3	2	5
Done	0	3	3
Total	1 574	43	1 617

Accuracy

100.0%

Counts

1 617 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
	84.1%	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x)
	65.6%	(fma.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) z z) y #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) t) x)
✓	67.1%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z #s(literal 1 binary64)))) t))
	75.6%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
	33.2%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))
	21.9%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z z) 1/2) z) y) 1) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z) y)))) t))
	75.9%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z z) 1/2) z) y) 1) #s(literal 1 binary64)))) t))
	69.9%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y y) z)) t))
✓	86.0%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
	62.8%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* 1/2 z) (+ (* (neg y) y) y)) y) (.f64 (.f64 #s(literal -1/2 binary64) z) (*.f64 y y))) z)) t))
✓	69.9%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y))) t))
	62.1%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z)))) t))
▶	62.9%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 z #s(literal 1/2 binary64)) (*.f64 z y))))) t))
	64.8%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (+ (* (* 1/2 z) (+ (* (neg y) y) y)) y) z) (.f64 (.f64 (.f64 (.f64 z y) z) y) #s(literal -1/2 binary64)))) t))
	65.6%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) z z) y #s(literal 1 binary64)))))))
	77.3%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y)))
	81.3%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (neg.f64 x) t) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) x) x))
✓	76.2%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
	76.6%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 t y)) x))
	67.7%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) z) y (.f64 #s(literal 1/6 binary64) y)) z (.f64 #s(literal 1/2 binary64) y)) z y) z))) (*.f64 x t)) x))
	78.1%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (.f64 z y))) (.f64 x t)) x))
	66.2%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y y) z)) (*.f64 x t)) x))
▶	80.0%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 (expm1.f64 z) y)) (.f64 x t)) x))
	64.8%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (.f64 (fma.f64 (.f64 z #s(literal 1/2 binary64)) (/.f64 (fma.f64 (neg.f64 y) y y) x) (/.f64 y x)) z)))) x))
▶	76.2%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (*.f64 y (/.f64 z x))))) x))
▶	92.0%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) x))
	53.9%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(approx (/ t (/ (log (+ 1 (* y (- (exp z) 1)))) x)) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 (.f64 (.f64 (fma.f64 (neg.f64 y) y y) x) z) (.f64 y y)) (/.f64 (*.f64 x t) y)) z))) x))
	75.1%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(approx (/ t (/ (log (+ 1 (* y (- (exp z) 1)))) x)) (.f64 t (/.f64 x (.f64 z y))))) x))
	35.0%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (fma.f64 (.f64 y (/.f64 z (.f64 t t))) (.f64 z y) (.f64 (neg.f64 x) x)) (neg.f64 (fma.f64 (/.f64 y t) z x))))
	35.6%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (fma.f64 y (.f64 z (.f64 y (/.f64 z (.f64 t t)))) (.f64 (neg.f64 x) x)) (-.f64 (/.f64 (*.f64 (neg.f64 z) y) t) x)))
	24.7%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
	36.7%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (- (/ (* (* y z) (* y z)) (* t t)) (* x x)) (.f64 (neg.f64 x) x)) (-.f64 (/.f64 (.f64 (neg.f64 z) y) t) x)))
	64.8%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (- (/ (* (* y z) (* y z)) (* t t)) (* x x)) (- (/ (* (neg z) y) t) x)) (/.f64 (fma.f64 (neg.f64 z) y (*.f64 x t)) t)))
	74.4%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (- (/ (* (* y z) (* y z)) (* t t)) (* x x)) (- (/ (* (neg z) y) t) x)) (.f64 (fma.f64 (neg.f64 y) (/.f64 z (.f64 x t)) #s(literal 1 binary64)) x)))
	13.1%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (- (/ (* (* y z) (* y z)) (* t t)) (* x x)) (- (/ (* (neg z) y) t) x)) (*.f64 (neg.f64 y) (/.f64 z t))))
▶	12.0%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t)))
	11.4%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (neg.f64 z) (/.f64 t y))))
	12.0%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 t) (*.f64 z y)))))
	7.1%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) y)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y)))) t) z)))
	10.0%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y)) t) z)))
✓	11.1%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z)))
	11.9%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 #s(literal 1 binary64) t) (.f64 (neg.f64 y) z))))
	13.0%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (neg.f64 y) (.f64 (/.f64 #s(literal 1 binary64) t) z))))

Compiler

Compiled 1 517 to 892 computations (41.2% saved)

simplify231.0ms (1.1%)

Memory

-42.5MiB live, 218.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 (expm1.f64 z) y)) (.f64 x t))
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 (expm1.f64 z) y)) (.f64 x t)) x))
cost-diff	640	(fma.f64 (neg.f64 x) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 (expm1.f64 z) y)) (.f64 x t)) x)
cost-diff	0	(neg.f64 x)
cost-diff	0	(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (*.f64 y (/.f64 z x))))) x)
cost-diff	0	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (*.f64 y (/.f64 z x))))) x))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (*.f64 y (/.f64 z x)))))
cost-diff	0	#s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 z #s(literal 1/2 binary64)) (*.f64 z y))))
cost-diff	0	#s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 z #s(literal 1/2 binary64)) (*.f64 z y)))))
cost-diff	0	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 z #s(literal 1/2 binary64)) (*.f64 z y))))) t)
cost-diff	0	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 z #s(literal 1/2 binary64)) (*.f64 z y))))) t))
cost-diff	0	(*.f64 (neg.f64 y) z)
cost-diff	0	(/.f64 (*.f64 (neg.f64 y) z) t)
cost-diff	0	#s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t))
cost-diff	0	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t)))
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) x))
cost-diff	640	(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) x)
cost-diff	704	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t))

Rules

2 823×	`lower-fma.f32`
2 820×	`lower-fma.f64`
1 864×	`lower-*.f32`
1 856×	`lower-*.f64`
853×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	522
0	93	512
1	167	506
2	337	472
3	871	454
4	2118	454
5	3568	454
6	5340	454
7	7394	454
0	8337	449

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) x))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) x)
(neg.f64 x)
x
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t))
#s(literal 1 binary64)
(.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)
(/.f64 x (log1p.f64 (*.f64 (expm1.f64 z) y)))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(*.f64 (expm1.f64 z) y)
(expm1.f64 z)
z
y
t
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t)))
#s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t))
(/.f64 (*.f64 (neg.f64 y) z) t)
(*.f64 (neg.f64 y) z)
(neg.f64 y)
y
z
t
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 z #s(literal 1/2 binary64)) (*.f64 z y))))) t))
x
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 z #s(literal 1/2 binary64)) (*.f64 z y))))) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 z #s(literal 1/2 binary64)) (*.f64 z y)))))
#s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 z #s(literal 1/2 binary64)) (*.f64 z y))))
#s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 z #s(literal 1/2 binary64)) (*.f64 z y)))
(.f64 (.f64 z #s(literal 1/2 binary64)) (*.f64 z y))
(*.f64 z #s(literal 1/2 binary64))
z
#s(literal 1/2 binary64)
(*.f64 z y)
y
t
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (*.f64 y (/.f64 z x))))) x))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (*.f64 y (/.f64 z x))))) x)
(neg.f64 x)
x
(/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (*.f64 y (/.f64 z x)))))
#s(literal 1 binary64)
(/.f64 t #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (*.f64 y (/.f64 z x))))
t
#s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (*.f64 y (/.f64 z x)))
(*.f64 y (/.f64 z x))
y
(/.f64 z x)
z
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 (expm1.f64 z) y)) (.f64 x t)) x))
(fma.f64 (neg.f64 x) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 (expm1.f64 z) y)) (.f64 x t)) x)
(neg.f64 x)
x
(/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 (expm1.f64 z) y)) (.f64 x t))
#s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (expm1.f64 z) y))
(*.f64 (expm1.f64 z) y)
(expm1.f64 z)
z
y
(*.f64 x t)
t

Outputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(neg.f64 x)
x
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t))
(/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 t x))
#s(literal 1 binary64)
(.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)
(/.f64 (.f64 t x) (log1p.f64 (.f64 (expm1.f64 z) y)))
(/.f64 x (log1p.f64 (*.f64 (expm1.f64 z) y)))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(*.f64 (expm1.f64 z) y)
(expm1.f64 z)
z
y
t
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 z) t) y)))
#s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t))
#s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 z) t) y))
(/.f64 (*.f64 (neg.f64 y) z) t)
(*.f64 (/.f64 (neg.f64 z) t) y)
(*.f64 (neg.f64 y) z)
(neg.f64 y)
y
z
t
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 z #s(literal 1/2 binary64)) (*.f64 z y))))) t))
(-.f64 x (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 (*.f64 z y) z) #s(literal 1/2 binary64))))) t))
x
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 z #s(literal 1/2 binary64)) (*.f64 z y))))) t)
(/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 (*.f64 z y) z) #s(literal 1/2 binary64))))) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 z #s(literal 1/2 binary64)) (*.f64 z y)))))
#s(approx (log (+ 1 (* (- (exp z) 1) y))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 (*.f64 z y) z) #s(literal 1/2 binary64)))))
#s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 z #s(literal 1/2 binary64)) (*.f64 z y))))
#s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 (*.f64 z y) z) #s(literal 1/2 binary64))))
#s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 z #s(literal 1/2 binary64)) (*.f64 z y)))
#s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 (*.f64 z y) z) #s(literal 1/2 binary64)))
(.f64 (.f64 z #s(literal 1/2 binary64)) (*.f64 z y))
(.f64 (.f64 (*.f64 z y) z) #s(literal 1/2 binary64))
(*.f64 z #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) z)
z
#s(literal 1/2 binary64)
(*.f64 z y)
y
t
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (*.f64 y (/.f64 z x))))) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (neg.f64 x) t) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (*.f64 (/.f64 y x) z)) x))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (*.f64 y (/.f64 z x))))) x)
(fma.f64 (/.f64 (neg.f64 x) t) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (*.f64 (/.f64 y x) z)) x)
(neg.f64 x)
x
(/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (*.f64 y (/.f64 z x)))))
(/.f64 #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (*.f64 (/.f64 y x) z)) t)
#s(literal 1 binary64)
(/.f64 t #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (*.f64 y (/.f64 z x))))
(/.f64 t #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (*.f64 (/.f64 y x) z)))
t
#s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (*.f64 y (/.f64 z x)))
#s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (*.f64 (/.f64 y x) z))
(*.f64 y (/.f64 z x))
(*.f64 (/.f64 y x) z)
y
(/.f64 z x)
z
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 (expm1.f64 z) y)) (.f64 x t)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (-.f64 x (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (expm1.f64 z) y)) t)))
(fma.f64 (neg.f64 x) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 (expm1.f64 z) y)) (.f64 x t)) x)
(-.f64 x (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (expm1.f64 z) y)) t))
(neg.f64 x)
x
(/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 (expm1.f64 z) y)) (.f64 x t))
(/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 (expm1.f64 z) y)) (.f64 t x))
#s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (expm1.f64 z) y))
(*.f64 (expm1.f64 z) y)
(expm1.f64 z)
z
y
(*.f64 x t)
(*.f64 t x)
t

localize424.0ms (2%)

Memory

25.3MiB live, 568.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(*.f64 (expm1.f64 z) y)
accuracy	3.804738005775342	(fma.f64 (neg.f64 x) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 (expm1.f64 z) y)) (.f64 x t)) x)
accuracy	6.663905728656914	(/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 (expm1.f64 z) y)) (.f64 x t))
accuracy	12.225105918662392	#s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (expm1.f64 z) y))
accuracy	3.2999210332620548	(/.f64 t #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (*.f64 y (/.f64 z x))))
accuracy	3.804738005775342	(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (*.f64 y (/.f64 z x))))) x)
accuracy	5.345841634847597	(*.f64 y (/.f64 z x))
accuracy	24.816693327518518	#s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (*.f64 y (/.f64 z x)))
accuracy	4.144132226627741	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 z #s(literal 1/2 binary64)) (*.f64 z y))))) t)
accuracy	12.225105918662392	#s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 z #s(literal 1/2 binary64)) (*.f64 z y)))))
accuracy	19.890037936676237	#s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 z #s(literal 1/2 binary64)) (*.f64 z y))))
accuracy	28.052467099241763	#s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 z #s(literal 1/2 binary64)) (*.f64 z y)))
accuracy	0	(neg.f64 y)
accuracy	5.108358080062989	(/.f64 (*.f64 (neg.f64 y) z) t)
accuracy	13.431444743686207	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t)))
accuracy	42.670248813841575	#s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t))
accuracy	1.1287435315502132	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t))
accuracy	3.6113762577500803	(.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)
accuracy	3.804738005775342	(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) x)
accuracy	5.07088867326167	(/.f64 x (log1p.f64 (*.f64 (expm1.f64 z) y)))

Samples

168.0ms	160×	1	valid
125.0ms	67×	2	valid
31.0ms	29×	0	valid

Compiler

Compiled 361 to 51 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 278.0ms

ival-div: 68.0ms (24.5% of total)

ival-log: 65.0ms (23.4% of total)

ival-mult: 46.0ms (16.6% of total)

adjust: 25.0ms (9% of total)

ival-exp: 18.0ms (6.5% of total)

ival-sub: 17.0ms (6.1% of total)

ival-expm1: 16.0ms (5.8% of total)

ival-add: 13.0ms (4.7% of total)

ival-log1p: 7.0ms (2.5% of total)

ival-neg: 3.0ms (1.1% of total)

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

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

exact: 0.0ms (0% of total)

series84.0ms (0.4%)

Memory

-3.8MiB live, 165.1MiB allocated

Counts

27 → 1 020

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) x) (patch (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) x) #<representation binary64>) () ())
#s(alt #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) x)) (patch #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) x)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (.f64 (neg.f64 y) z) t))) (patch #s(approx (- x (/ (log (+ (- 1 y) ( y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (.f64 (neg.f64 y) z) t)) (patch #s(approx (+ ( (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (neg.f64 y) z) t) (patch (/.f64 (.f64 (neg.f64 y) z) t) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 y) z) (patch (.f64 (neg.f64 y) z) #<representation binary64>) () ())
#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 z #s(literal 1/2 binary64)) (.f64 z y))))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 z #s(literal 1/2 binary64)) (*.f64 z y))))) t)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 z #s(literal 1/2 binary64)) (.f64 z y))))) t) (patch (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 z #s(literal 1/2 binary64)) (*.f64 z y))))) t) #<representation binary64>) () ())
#s(alt #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 z #s(literal 1/2 binary64)) (.f64 z y))))) (patch #s(approx (log (+ (- 1 y) ( y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 z #s(literal 1/2 binary64)) (*.f64 z y))))) #<representation binary64>) () ())
#s(alt #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 z #s(literal 1/2 binary64)) (.f64 z y)))) (patch #s(approx ( (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 z #s(literal 1/2 binary64)) (*.f64 z y)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (.f64 y (/.f64 z x))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (/ (log (+ 1 ( y (- (exp z) 1)))) x) (*.f64 y (/.f64 z x))))) #<representation binary64>) () ())
#s(alt #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (.f64 y (/.f64 z x))))) x)) (patch #s(approx (- x (/ (log (+ (- 1 y) ( y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (*.f64 y (/.f64 z x))))) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (.f64 y (/.f64 z x))))) x) (patch (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (/ (log (+ 1 ( y (- (exp z) 1)))) x) (*.f64 y (/.f64 z x))))) x) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 x) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 (expm1.f64 z) y)) (.f64 x t)) x) (patch (fma.f64 (neg.f64 x) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 (expm1.f64 z) y)) (.f64 x t)) x) #<representation binary64>) () ())
#s(alt #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 (expm1.f64 z) y)) (.f64 x t)) x)) (patch #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 (expm1.f64 z) y)) (.f64 x t)) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 (expm1.f64 z) y)) (.f64 x t)) (patch (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 (expm1.f64 z) y)) (.f64 x t)) #<representation binary64>) () ())
#s(alt (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) (patch (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t) (patch (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 z #s(literal 1/2 binary64)) (.f64 z y))) (patch #s(approx ( (+ (* (* z z) 1/2) z) y) (.f64 (.f64 z #s(literal 1/2 binary64)) (*.f64 z y))) #<representation binary64>) () ())
#s(alt #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (.f64 y (/.f64 z x))) (patch #s(approx (/ (log (+ 1 ( y (- (exp z) 1)))) x) (*.f64 y (/.f64 z x))) #<representation binary64>) () ())
#s(alt (.f64 y (/.f64 z x)) (patch (.f64 y (/.f64 z x)) #<representation binary64>) () ())
#s(alt (/.f64 t #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (.f64 y (/.f64 z x)))) (patch (/.f64 t #s(approx (/ (log (+ 1 ( y (- (exp z) 1)))) x) (*.f64 y (/.f64 z x)))) #<representation binary64>) () ())
#s(alt #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 (expm1.f64 z) y)) (patch #s(approx (log (+ 1 ( (- (exp z) 1) y))) (*.f64 (expm1.f64 z) y)) #<representation binary64>) () ())
#s(alt (.f64 (expm1.f64 z) y) (patch (.f64 (expm1.f64 z) y) #<representation binary64>) () ())

Outputs
#s(alt (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) #<representation binary64>) () ())) ())
#s(alt (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) #<representation binary64>) () ())) ())
#s(alt (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) #<representation binary64>) () ())) ())
#s(alt (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) #<representation binary64>) () ())) ())
#s(alt (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) #<representation binary64>) () ())) ())
#s(alt (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) #<representation binary64>) () ())) ())
#s(alt (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) #<representation binary64>) () ())) ())
#s(alt (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) #<representation binary64>) () ())) ())
#s(alt (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) #<representation binary64>) () ())) ())
#s(alt (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) #<representation binary64>) () ())) ())
#s(alt (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) #<representation binary64>) () ())) ())
#s(alt (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* y z) (* t x)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) (* t x))) (/ y (* t x)))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (* t x))) (* 1/2 (/ (+ y (* -1 (pow y 2))) (* t x))))) (/ y (* t x)))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) (* t x))) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) (* t x))) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) (* t x))))))) (/ y (* t x)))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) #<representation binary64>) () ())) ())
#s(alt (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) #<representation binary64>) () ())) ())
#s(alt (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) #<representation binary64>) () ())) ())
#s(alt (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) #<representation binary64>) () ())) ())
#s(alt (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) #<representation binary64>) () ())) ())
#s(alt (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) #<representation binary64>) () ())) ())
#s(alt (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) #<representation binary64>) () ())) ())
#s(alt (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) #<representation binary64>) () ())) ())
#s(alt (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* y (- (exp z) 1)) (* t x)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) (* t x))) (/ (exp z) (* t x))) (/ 1 (* t x)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) (* t x))) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) (* t x))))) (/ (exp z) (* t x))) (/ 1 (* t x)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) (* t x))) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) (* t x))) (* 1/3 (/ (pow (- (exp z) 1) 3) (* t x))))))) (/ (exp z) (* t x))) (/ 1 (* t x)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) (* t x)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) #<representation binary64>) () ())) ())
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#s(alt (* y (- (exp z) 1)) (taylor -inf y) (#s(alt (.f64 (expm1.f64 z) y) (patch (.f64 (expm1.f64 z) y) #<representation binary64>) () ())) ())

Calls

255 calls:

Time	Variable		Point	Expression
5.0ms	z	@	-inf	(* y (/ z x))
2.0ms	z	@	inf	(log (+ (- 1 y) (* y (exp z))))
1.0ms	y	@	-inf	(/ x (log (+ 1 (* (- (exp z) 1) y))))
1.0ms	y	@	inf	(/ x (log (+ 1 (* (- (exp z) 1) y))))
1.0ms	z	@	0	(/ x (log (+ 1 (* (- (exp z) 1) y))))

simplify285.0ms (1.4%)

Memory

39.7MiB live, 452.7MiB allocated

Algorithm

1×	egg-herbie

Rules

4 541×	`lower-fma.f64`
4 541×	`lower-fma.f32`
3 491×	`lower-*.f64`
3 491×	`lower-*.f32`
2 526×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	977	18301
1	3127	17296
0	8688	14002

Stop Event

1×	iter limit
1×	node limit

Counts

1 020 → 966

Calls

Call 1

Inputs
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(/.f64 (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (.f64 #s(literal -1/4 binary64) t) (/.f64 (.f64 (.f64 (fma.f64 (neg.f64 y) y y) x) (fma.f64 (neg.f64 y) y y)) (.f64 (.f64 y y) y)) (/.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x t)) (fma.f64 (.f64 #s(literal -3 binary64) y) y (fma.f64 (.f64 #s(literal 2 binary64) (.f64 y y)) y y))) (.f64 y y))) (.f64 (.f64 #s(literal -1/2 binary64) t) (.f64 x (/.f64 (fma.f64 (neg.f64 y) y y) (.f64 y y))))) z (*.f64 t (/.f64 x y))) z)
(/ (+ (* z (- (* z (- (* -1 (* z (+ (* -1/2 (/ (* (+ y (* -1 (pow y 2))) (+ (* -1/4 (/ (* t (* x (pow (+ y (* -1 (pow y 2))) 2))) (pow y 3))) (* 1/6 (/ (* t (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (pow y 2))))) y)) (+ (* -1/12 (/ (* t (* x (* (+ y (* -1 (pow y 2))) (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))) (pow y 3))) (* 1/24 (/ (* t (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (pow y 2))))))) (+ (* -1/4 (/ (* t (* x (pow (+ y (* -1 (pow y 2))) 2))) (pow y 3))) (* 1/6 (/ (* t (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (pow y 2)))))) (* 1/2 (/ (* t (* x (+ y (* -1 (pow y 2))))) (pow y 2))))) (/ (* t x) y)) z)
(/.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y y)) (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) t) (/.f64 (.f64 (.f64 (fma.f64 (neg.f64 y) y y) x) (fma.f64 (neg.f64 y) y y)) (.f64 (.f64 y y) y)) (/.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x t)) (fma.f64 (.f64 #s(literal -3 binary64) y) y (fma.f64 (.f64 #s(literal 2 binary64) (.f64 y y)) y y))) (.f64 y y))) y) (fma.f64 (.f64 #s(literal 1/24 binary64) t) (.f64 x (/.f64 (+.f64 (fma.f64 (.f64 y y) #s(literal -7 binary64) (.f64 (.f64 #s(literal 12 binary64) (.f64 y y)) y)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) y)) (.f64 y y))) (/.f64 (.f64 (.f64 #s(literal -1/12 binary64) (.f64 x t)) (.f64 (fma.f64 (.f64 #s(literal -3 binary64) y) y (fma.f64 (.f64 #s(literal 2 binary64) (.f64 y y)) y y)) (fma.f64 (neg.f64 y) y y))) (.f64 (.f64 y y) y)))) z (fma.f64 (.f64 #s(literal -1/4 binary64) t) (/.f64 (.f64 (.f64 (fma.f64 (neg.f64 y) y y) x) (fma.f64 (neg.f64 y) y y)) (.f64 (.f64 y y) y)) (/.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x t)) (fma.f64 (.f64 #s(literal -3 binary64) y) y (fma.f64 (.f64 #s(literal 2 binary64) (.f64 y y)) y y))) (.f64 y y))))) z (.f64 (.f64 #s(literal -1/2 binary64) t) (.f64 x (/.f64 (fma.f64 (neg.f64 y) y y) (.f64 y y))))) z (.f64 t (/.f64 x y))) z)
(/ (* t x) (log (+ 1 (* y (- (exp z) 1)))))
(/.f64 (.f64 x t) (log1p.f64 (.f64 (expm1.f64 z) y)))
(/ (* t x) (log (+ 1 (* y (- (exp z) 1)))))
(/.f64 (.f64 x t) (log1p.f64 (.f64 (expm1.f64 z) y)))
(/ (* t x) (log (+ 1 (* y (- (exp z) 1)))))
(/.f64 (.f64 x t) (log1p.f64 (.f64 (expm1.f64 z) y)))
(/ (* t x) (log (+ 1 (* y (- (exp z) 1)))))
(/.f64 (.f64 x t) (log1p.f64 (.f64 (expm1.f64 z) y)))
(/ (* t x) (log (+ 1 (* y (- (exp z) 1)))))
(/.f64 (.f64 x t) (log1p.f64 (.f64 (expm1.f64 z) y)))
(/ (* t x) (log (+ 1 (* y (- (exp z) 1)))))
(/.f64 (.f64 x t) (log1p.f64 (.f64 (expm1.f64 z) y)))
(/ (* t x) (log (+ 1 (* y (- (exp z) 1)))))
(/.f64 (.f64 x t) (log1p.f64 (.f64 (expm1.f64 z) y)))
(/ (* t x) (log (+ 1 (* y (- (exp z) 1)))))
(/.f64 (.f64 x t) (log1p.f64 (.f64 (expm1.f64 z) y)))
(/ (* t x) (log (+ 1 (* y (- (exp z) 1)))))
(/.f64 (.f64 x t) (log1p.f64 (.f64 (expm1.f64 z) y)))
(/ (* t x) (log (+ 1 (* y (- (exp z) 1)))))
(/.f64 (.f64 x t) (log1p.f64 (.f64 (expm1.f64 z) y)))
(/ (* t x) (log (+ 1 (* y (- (exp z) 1)))))
(/.f64 (.f64 x t) (log1p.f64 (.f64 (expm1.f64 z) y)))
(/ (* t x) (log (+ 1 (* y (- (exp z) 1)))))
(/.f64 (.f64 x t) (log1p.f64 (.f64 (expm1.f64 z) y)))
(/ (* t x) (log (+ 1 (* y (- (exp z) 1)))))
(/.f64 (.f64 x t) (log1p.f64 (.f64 (expm1.f64 z) y)))
(/ (* t x) (log (+ 1 (* y (- (exp z) 1)))))
(/.f64 (.f64 x t) (log1p.f64 (.f64 (expm1.f64 z) y)))
(/ (* t x) (log (+ 1 (* y (- (exp z) 1)))))
(/.f64 (.f64 x t) (log1p.f64 (.f64 (expm1.f64 z) y)))
(/ (* t x) (log (+ 1 (* y (- (exp z) 1)))))
(/.f64 (.f64 x t) (log1p.f64 (.f64 (expm1.f64 z) y)))
(/ (* t x) (log (+ 1 (* y (- (exp z) 1)))))
(/.f64 (.f64 x t) (log1p.f64 (.f64 (expm1.f64 z) y)))
(/ (* t x) (log (+ 1 (* y (- (exp z) 1)))))
(/.f64 (.f64 x t) (log1p.f64 (.f64 (expm1.f64 z) y)))
(/ (* t x) (log (+ 1 (* y (- (exp z) 1)))))
(/.f64 (.f64 x t) (log1p.f64 (.f64 (expm1.f64 z) y)))
(/ (* t x) (log (+ 1 (* y (- (exp z) 1)))))
(/.f64 (.f64 x t) (log1p.f64 (.f64 (expm1.f64 z) y)))
(* y z)
(*.f64 z y)
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2)))))))
(.f64 (fma.f64 (.f64 z #s(literal 1/2 binary64)) (fma.f64 (neg.f64 y) y y) y) z)
(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2))))))))
(.f64 (fma.f64 (fma.f64 (.f64 z #s(literal 1/6 binary64)) (fma.f64 (.f64 #s(literal -3 binary64) y) y (fma.f64 (.f64 #s(literal 2 binary64) (.f64 y y)) y y)) (.f64 (fma.f64 (neg.f64 y) y y) #s(literal 1/2 binary64))) z y) z)
(* z (+ y (* z (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* z (+ (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) z) (+.f64 (fma.f64 (.f64 y y) #s(literal -7 binary64) (.f64 (.f64 #s(literal 12 binary64) (.f64 y y)) y)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) y)) (.f64 (fma.f64 (.f64 #s(literal -3 binary64) y) y (fma.f64 (.f64 #s(literal 2 binary64) (.f64 y y)) y y)) #s(literal 1/6 binary64))) z (*.f64 (fma.f64 (neg.f64 y) y y) #s(literal 1/2 binary64))) z y) z)
(log (+ 1 (* y (- (exp z) 1))))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(log (+ 1 (* y (- (exp z) 1))))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(log (+ 1 (* y (- (exp z) 1))))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(log (+ 1 (* y (- (exp z) 1))))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(log (+ 1 (* y (- (exp z) 1))))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(log (+ 1 (* y (- (exp z) 1))))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(log (+ 1 (* y (- (exp z) 1))))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(log (+ 1 (* y (- (exp z) 1))))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(* y (- (exp z) 1))
(*.f64 (expm1.f64 z) y)
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1))
(.f64 (fma.f64 (.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64)) y (expm1.f64 z)) y)
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1))
(.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) #s(literal 1/3 binary64)) y (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (expm1.f64 z)) y)
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 (expm1.f64 z) #s(literal 4 binary64))) y (.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) #s(literal 1/3 binary64))) y (.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (expm1.f64 z)) y)
(+ (log (- (exp z) 1)) (* -1 (log (/ 1 y))))
(+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))
(+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1)))))
(+.f64 (+.f64 (log.f64 (expm1.f64 z)) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y))) (log.f64 y))
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp z) 1) 2))))
(-.f64 (+.f64 (+.f64 (log.f64 (expm1.f64 z)) (/.f64 #s(literal 1 binary64) (.f64 (expm1.f64 z) y))) (log.f64 y)) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y)))
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp z) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp z) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp z) 1) 2)))))
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) (.f64 y y))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (expm1.f64 z) y)) (log.f64 y))) (log.f64 (expm1.f64 z))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y)))
(+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y))))
(-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log (* -1 (- (exp z) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (exp z) 1)))))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (log1p.f64 (neg.f64 (exp.f64 z))))
(+ (log (* -1 (- (exp z) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (exp z) 1) 2)))) (/ 1 (- (exp z) 1))) y))))
(-.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) (expm1.f64 z))) y))
(+ (log (* -1 (- (exp z) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (exp z) 1) 3)))) (* 1/2 (/ 1 (pow (- (exp z) 1) 2)))) y)) (/ 1 (- (exp z) 1))) y))))
(-.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (expm1.f64 z))) y))
(* y z)
(*.f64 z y)
(* z (+ y (* 1/2 (* y z))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z) y)
(* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))
(.f64 (fma.f64 (fma.f64 (.f64 z #s(literal 1/6 binary64)) y (*.f64 #s(literal 1/2 binary64) y)) z y) z)
(* z (+ y (* z (+ (* 1/2 y) (* z (+ (* 1/24 (* y z)) (* 1/6 y)))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) z) y (.f64 #s(literal 1/6 binary64) y)) z (.f64 #s(literal 1/2 binary64) y)) z y) z)
(* y (- (exp z) 1))
(*.f64 (expm1.f64 z) y)
(* y (- (exp z) 1))
(*.f64 (expm1.f64 z) y)
(* y (- (exp z) 1))
(*.f64 (expm1.f64 z) y)
(* y (- (exp z) 1))
(*.f64 (expm1.f64 z) y)
(* y (- (exp z) 1))
(*.f64 (expm1.f64 z) y)
(* y (- (exp z) 1))
(*.f64 (expm1.f64 z) y)
(* y (- (exp z) 1))
(*.f64 (expm1.f64 z) y)
(* y (- (exp z) 1))
(*.f64 (expm1.f64 z) y)
(* y (- (exp z) 1))
(*.f64 (expm1.f64 z) y)
(* y (- (exp z) 1))
(*.f64 (expm1.f64 z) y)
(* y (- (exp z) 1))
(*.f64 (expm1.f64 z) y)
(* y (- (exp z) 1))
(*.f64 (expm1.f64 z) y)
(* y (- (exp z) 1))
(*.f64 (expm1.f64 z) y)
(* y (- (exp z) 1))
(*.f64 (expm1.f64 z) y)
(* y (- (exp z) 1))
(*.f64 (expm1.f64 z) y)
(* y (- (exp z) 1))
(*.f64 (expm1.f64 z) y)
(* y (- (exp z) 1))
(*.f64 (expm1.f64 z) y)
(* y (- (exp z) 1))
(*.f64 (expm1.f64 z) y)
(* y (- (exp z) 1))
(*.f64 (expm1.f64 z) y)
(* y (- (exp z) 1))
(*.f64 (expm1.f64 z) y)

rewrite263.0ms (1.2%)

Memory

-26.8MiB live, 336.3MiB allocated

Rules

2 345×	`lower-*.f32`
2 337×	`lower-*.f64`
2 052×	`lower-/.f32`
2 044×	`lower-/.f64`
1 645×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	464
0	93	446
1	366	440
2	2539	440
0	8481	428

Stop Event

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

Counts

27 → 439

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) x)
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) x))
(neg.f64 x)
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t)))
#s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t))
(/.f64 (*.f64 (neg.f64 y) z) t)
(*.f64 (neg.f64 y) z)
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 z #s(literal 1/2 binary64)) (*.f64 z y))))) t))
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 z #s(literal 1/2 binary64)) (*.f64 z y))))) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 z #s(literal 1/2 binary64)) (*.f64 z y)))))
#s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 z #s(literal 1/2 binary64)) (*.f64 z y))))
(/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (*.f64 y (/.f64 z x)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (*.f64 y (/.f64 z x))))) x))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (*.f64 y (/.f64 z x))))) x)
(fma.f64 (neg.f64 x) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 (expm1.f64 z) y)) (.f64 x t)) x)
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 (expm1.f64 z) y)) (.f64 x t)) x))
(/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 (expm1.f64 z) y)) (.f64 x t))
(/.f64 x (log1p.f64 (*.f64 (expm1.f64 z) y)))
(.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)
(neg.f64 y)
#s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 z #s(literal 1/2 binary64)) (*.f64 z y)))
#s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (*.f64 y (/.f64 z x)))
(*.f64 y (/.f64 z x))
(/.f64 t #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (*.f64 y (/.f64 z x))))
#s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (expm1.f64 z) y))
(*.f64 (expm1.f64 z) y)

Outputs
(.f64 (pow.f64 (/.f64 (.f64 t x) (log1p.f64 (.f64 y (expm1.f64 z)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (.f64 t x) (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal -1/2 binary64)))
(.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) x) (/.f64 #s(literal 1 binary64) t))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 t x)) (pow.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 t x)) (log1p.f64 (*.f64 y (expm1.f64 z))))
(.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) x))
(.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 t (log1p.f64 (.f64 y (expm1.f64 z)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 y (expm1.f64 z)))) t) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (.f64 t x) (log1p.f64 (*.f64 y (expm1.f64 z))))))
(.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (*.f64 t x)) #s(literal 1 binary64))
(.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (/.f64 #s(literal 1 binary64) (*.f64 t x)))
(.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (*.f64 t x)))
(pow.f64 (exp.f64 (log.f64 (/.f64 (.f64 t x) (log1p.f64 (.f64 y (expm1.f64 z)))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (.f64 t x) (log1p.f64 (.f64 y (expm1.f64 z)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
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(exp.f64 (.f64 (.f64 (log.f64 (/.f64 t #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (*.f64 (/.f64 z x) y)))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (/ (log (+ 1 ( y (- (exp z) 1)))) x) (*.f64 (/.f64 z x) y)) t)) #s(literal -1 binary64)))
#s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 y (expm1.f64 z)))
(.f64 (.f64 #s(literal 1 binary64) (expm1.f64 z)) y)
(.f64 (.f64 y (expm1.f64 z)) #s(literal 1 binary64))
(*.f64 y (expm1.f64 z))
(*.f64 (expm1.f64 z) y)
(.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 z)))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (+.f64 z z)) y)) (neg.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (expm1.f64 (.f64 z #s(literal 3 binary64))) y)) (neg.f64 (+.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) (exp.f64 (+.f64 z z)))))
(/.f64 (neg.f64 (*.f64 y (expm1.f64 (+.f64 z z)))) (neg.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 y (expm1.f64 (.f64 z #s(literal 3 binary64))))) (neg.f64 (+.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) (exp.f64 (+.f64 z z)))))
(/.f64 (*.f64 (expm1.f64 (+.f64 z z)) y) (+.f64 (exp.f64 z) #s(literal 1 binary64)))
(/.f64 (.f64 (expm1.f64 (.f64 z #s(literal 3 binary64))) y) (+.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) (exp.f64 (+.f64 z z))))
(/.f64 (*.f64 y (expm1.f64 (+.f64 z z))) (+.f64 (exp.f64 z) #s(literal 1 binary64)))
(/.f64 (.f64 y (expm1.f64 (.f64 z #s(literal 3 binary64)))) (+.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) (exp.f64 (+.f64 z z))))
(fma.f64 (exp.f64 z) y (neg.f64 y))
(fma.f64 y (exp.f64 z) (neg.f64 y))
(+.f64 (*.f64 (exp.f64 z) y) (neg.f64 y))

eval204.0ms (1%)

Memory: -14.4MiB live, 472.2MiB allocated
Compiler: Compiled 31 074 to 2 263 computations (92.7% saved)

prune377.0ms (1.8%)

Memory

9.8MiB live, 485.6MiB allocated

Pruning

45 alts after pruning (37 fresh and 8 done)

	Pruned	Kept	Total
New	1 485	10	1 495
Fresh	6	27	33
Picked	1	4	5
Done	1	4	5
Total	1 493	45	1 538

Accuracy

100.0%

Counts

1 538 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
	84.1%	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x)
	65.6%	(fma.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) z z) y #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) t) x)
✓	67.1%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z #s(literal 1 binary64)))) t))
	75.6%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
	33.2%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))
	21.9%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z z) 1/2) z) y) 1) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z) y)))) t))
	75.9%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z z) 1/2) z) y) 1) #s(literal 1 binary64)))) t))
	69.9%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y y) z)) t))
✓	86.0%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
	62.8%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* 1/2 z) (+ (* (neg y) y) y)) y) (.f64 (.f64 #s(literal -1/2 binary64) z) (*.f64 y y))) z)) t))
	62.1%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z)))) t))
✓	62.9%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 z #s(literal 1/2 binary64)) (*.f64 z y))))) t))
	61.8%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 z z)) y)))) t))
	64.8%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (+ (* (* 1/2 z) (+ (* (neg y) y) y)) y) z) (.f64 (.f64 (.f64 (.f64 z y) z) y) #s(literal -1/2 binary64)))) t))
	65.6%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) z z) y #s(literal 1 binary64)))))))
	77.3%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y)))
	76.2%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (*.f64 (/.f64 z x) y)) t) (neg.f64 x) x))
✓	76.2%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
	76.6%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 t y)) x))
	67.7%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) z) y (.f64 #s(literal 1/6 binary64) y)) z (.f64 #s(literal 1/2 binary64) y)) z y) z))) (*.f64 x t)) x))
	78.1%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (.f64 z y))) (.f64 x t)) x))
	66.2%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y y) z)) (*.f64 x t)) x))
✓	80.0%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 (expm1.f64 z) y)) (.f64 x t)) x))
	74.7%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (*.f64 z (/.f64 y x))))) x))
✓	92.0%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) x))
	80.0%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 #s(approx ( (- (exp z) 1) y) (*.f64 z y)))) t)) x))
	57.8%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (/ x (log (+ 1 ( (- (exp z) 1) y)))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 x z) (fma.f64 (neg.f64 y) y y)) (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 x y)) z)) t)) x))
	75.1%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (/ x (log (+ 1 ( (- (exp z) 1) y)))) (/.f64 x (*.f64 z y))) t)) x))
	81.9%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(approx (/ t (/ (log (+ 1 (* y (- (exp z) 1)))) x)) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) t) (.f64 x y) (/.f64 (*.f64 x t) (expm1.f64 z))) y))) x))
	53.9%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(approx (/ t (/ (log (+ 1 (* y (- (exp z) 1)))) x)) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 (.f64 (.f64 (fma.f64 (neg.f64 y) y y) x) z) (.f64 y y)) (/.f64 (*.f64 x t) y)) z))) x))
	35.0%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (fma.f64 (.f64 y (/.f64 z (.f64 t t))) (.f64 z y) (.f64 (neg.f64 x) x)) (neg.f64 (fma.f64 (/.f64 y t) z x))))
	35.6%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (fma.f64 y (.f64 z (.f64 y (/.f64 z (.f64 t t)))) (.f64 (neg.f64 x) x)) (-.f64 (/.f64 (*.f64 (neg.f64 z) y) t) x)))
	24.7%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
	36.7%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (- (/ (* (* y z) (* y z)) (* t t)) (* x x)) (.f64 (neg.f64 x) x)) (-.f64 (/.f64 (.f64 (neg.f64 z) y) t) x)))
	64.8%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (- (/ (* (* y z) (* y z)) (* t t)) (* x x)) (- (/ (* (neg z) y) t) x)) (/.f64 (fma.f64 (neg.f64 z) y (*.f64 x t)) t)))
	74.4%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (- (/ (* (* y z) (* y z)) (* t t)) (* x x)) (- (/ (* (neg z) y) t) x)) (.f64 (fma.f64 (neg.f64 y) (/.f64 z (.f64 x t)) #s(literal 1 binary64)) x)))
	13.1%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (- (/ (* (* y z) (* y z)) (* t t)) (* x x)) (- (/ (* (neg z) y) t) x)) (*.f64 (neg.f64 y) (/.f64 z t))))
	7.1%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) y)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y)))) z) t)))
	10.5%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y)) z) t)))
✓	12.0%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t)))
	11.4%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (neg.f64 z) (/.f64 t y))))
	12.0%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 t) (*.f64 z y)))))
✓	11.1%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z)))
	11.9%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (.f64 y z) (/.f64 #s(literal -1 binary64) t))))
	13.0%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (neg.f64 y) (.f64 (/.f64 #s(literal 1 binary64) t) z))))

Compiler

Compiled 1 990 to 806 computations (59.5% saved)

regimes263.0ms (1.2%)

Memory

9.5MiB live, 203.8MiB allocated

Counts

73 → 2

Calls

Call 1

Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (- (/ (* (* y z) (* y z)) (* t t)) (* x x)) (- (/ (* (neg z) y) t) x)) (*.f64 (neg.f64 y) (/.f64 z t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (.f64 y z) (/.f64 #s(literal -1 binary64) t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (neg.f64 y) (.f64 (/.f64 #s(literal 1 binary64) t) z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 #s(literal 1 binary64) t) (.f64 (neg.f64 y) z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (neg.f64 z) (/.f64 t y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (- (/ (* (* y z) (* y z)) (* t t)) (* x x)) (- (/ (* (neg z) y) t) x)) (/.f64 (fma.f64 (neg.f64 z) y (*.f64 x t)) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) t) (neg.f64 z)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (*.f64 (neg.f64 z) y) (/.f64 #s(literal 1 binary64) t) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (fma.f64 (/.f64 z (.f64 x t)) y #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 t) (*.f64 z y)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (- (/ (* (* y z) (* y z)) (* t t)) (* x x)) (- (/ (* (neg z) y) t) x)) (.f64 (fma.f64 (neg.f64 y) (/.f64 z (.f64 x t)) #s(literal 1 binary64)) x)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 z z)) y)))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 z #s(literal 1/2 binary64)) (*.f64 z y))))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 t y)) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* 1/2 z) (+ (* (neg y) y) y)) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y)) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (+ (* (* 1/2 z) (+ (* (neg y) y) y)) y) z) (.f64 (.f64 (.f64 (.f64 z y) z) y) #s(literal -1/2 binary64)))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* 1/2 z) (+ (* (neg y) y) y)) y) (.f64 (.f64 #s(literal -1/2 binary64) z) (*.f64 y y))) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (*.f64 (/.f64 z x) y)) t) (neg.f64 x) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y y) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y)) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y)) z) t)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (- (/ (* (* y z) (* y z)) (* t t)) (* x x)) (.f64 (neg.f64 x) x)) (-.f64 (/.f64 (.f64 (neg.f64 z) y) t) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(approx (/ t (/ (log (+ 1 (* y (- (exp z) 1)))) x)) (.f64 t (/.f64 x (.f64 z y))))) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (/ x (log (+ 1 ( (- (exp z) 1) y)))) (/.f64 x (*.f64 z y))) t)) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (*.f64 y (/.f64 z x))))) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (*.f64 z (/.f64 y x))))) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y y) z)) (*.f64 x t)) x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 (neg.f64 y) y y) t) (/.f64 y t)) z)))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) (*.f64 #s(literal 1/2 binary64) z) y) z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) y)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y)))) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) y)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y)))) z) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (fma.f64 (.f64 y (/.f64 z (.f64 t t))) (.f64 z y) (.f64 (neg.f64 x) x)) (neg.f64 (fma.f64 (/.f64 y t) z x))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (-.f64 (/.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 t t)) (.f64 x x)) (-.f64 (/.f64 (.f64 (neg.f64 z) y) t) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (fma.f64 y (.f64 z (.f64 y (/.f64 z (.f64 t t)))) (.f64 (neg.f64 x) x)) (-.f64 (/.f64 (*.f64 (neg.f64 z) y) t) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (.f64 (fma.f64 (.f64 z #s(literal 1/2 binary64)) (/.f64 (fma.f64 (neg.f64 y) y y) x) (/.f64 y x)) z)))) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (/ x (log (+ 1 ( (- (exp z) 1) y)))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 x z) (fma.f64 (neg.f64 y) y y)) (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 x y)) z)) t)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(approx (/ t (/ (log (+ 1 (* y (- (exp z) 1)))) x)) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 (.f64 (.f64 (fma.f64 (neg.f64 y) y y) x) z) (.f64 y y)) (/.f64 (*.f64 x t) y)) z))) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 z (-.f64 #s(literal 1 binary64) y)) y) (.f64 (.f64 z (-.f64 #s(literal 1 binary64) y)) y)) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) z) (fma.f64 (.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) #s(literal 1/2 binary64)) z (neg.f64 y)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (-.f64 (/.f64 (/.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 t t)) (-.f64 (/.f64 (.f64 (neg.f64 z) y) t) x)) (/.f64 (.f64 x x) (-.f64 (/.f64 (*.f64 (neg.f64 z) y) t) x))))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z z) 1/2) z) y) 1) #s(literal 1 binary64)))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 (expm1.f64 z) y)) (.f64 x t)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (.f64 z y))) (.f64 x t)) x))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z z) 1/2) z) y) 1) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z) y)))) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)))) t))
(fma.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) z z) y #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) t) x)
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z #s(literal 1 binary64)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 #s(approx ( (- (exp z) 1) y) (*.f64 z y)))) t)) x))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) z z) y #s(literal 1 binary64)))))))
(fma.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) t) x)
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z #s(literal 1 binary64)))))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(approx (/ t (/ (log (+ 1 (* y (- (exp z) 1)))) x)) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) t) (.f64 x y) (/.f64 (*.f64 x t) (expm1.f64 z))) y))) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) z) y (.f64 #s(literal 1/6 binary64) y)) z (.f64 #s(literal 1/2 binary64) y)) z y) z))) (*.f64 x t)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x)
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (neg.f64 x) t) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (neg.f64 x) t) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) x) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 (.f64 (expm1.f64 z) y))) t)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x))) x))

Outputs

(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x)

#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (log1p.f64 #s(approx (* (- (exp z) 1) y) (*.f64 z y)))) t)) x))

Calls

9 calls:

60.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
38.0ms	x
32.0ms	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
32.0ms	t
28.0ms	z

Results

Accuracy	Segments	Branch
92.0%	1	`x`
92.0%	1	`y`
95.5%	2	`z`
92.0%	1	`t`
92.0%	1	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
92.0%	1	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
94.2%	2	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
94.2%	2	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
95.5%	2	`(exp.f64 z)`

Compiler

Compiled 83 to 63 computations (24.1% saved)

regimes122.0ms (0.6%)

Memory

0.1MiB live, 87.2MiB allocated

Counts

67 → 3

Calls

Call 1

Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (- (/ (* (* y z) (* y z)) (* t t)) (* x x)) (- (/ (* (neg z) y) t) x)) (*.f64 (neg.f64 y) (/.f64 z t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (.f64 y z) (/.f64 #s(literal -1 binary64) t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (neg.f64 y) (.f64 (/.f64 #s(literal 1 binary64) t) z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 #s(literal 1 binary64) t) (.f64 (neg.f64 y) z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (neg.f64 z) (/.f64 t y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (- (/ (* (* y z) (* y z)) (* t t)) (* x x)) (- (/ (* (neg z) y) t) x)) (/.f64 (fma.f64 (neg.f64 z) y (*.f64 x t)) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) t) (neg.f64 z)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (*.f64 (neg.f64 z) y) (/.f64 #s(literal 1 binary64) t) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (fma.f64 (/.f64 z (.f64 x t)) y #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 t) (*.f64 z y)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (- (/ (* (* y z) (* y z)) (* t t)) (* x x)) (- (/ (* (neg z) y) t) x)) (.f64 (fma.f64 (neg.f64 y) (/.f64 z (.f64 x t)) #s(literal 1 binary64)) x)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 z z)) y)))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 z #s(literal 1/2 binary64)) (*.f64 z y))))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 t y)) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* 1/2 z) (+ (* (neg y) y) y)) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y)) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (+ (* (* 1/2 z) (+ (* (neg y) y) y)) y) z) (.f64 (.f64 (.f64 (.f64 z y) z) y) #s(literal -1/2 binary64)))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* 1/2 z) (+ (* (neg y) y) y)) y) (.f64 (.f64 #s(literal -1/2 binary64) z) (*.f64 y y))) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (*.f64 (/.f64 z x) y)) t) (neg.f64 x) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y y) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y)) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y)) z) t)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (- (/ (* (* y z) (* y z)) (* t t)) (* x x)) (.f64 (neg.f64 x) x)) (-.f64 (/.f64 (.f64 (neg.f64 z) y) t) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(approx (/ t (/ (log (+ 1 (* y (- (exp z) 1)))) x)) (.f64 t (/.f64 x (.f64 z y))))) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (/ x (log (+ 1 ( (- (exp z) 1) y)))) (/.f64 x (*.f64 z y))) t)) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (*.f64 y (/.f64 z x))))) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (*.f64 z (/.f64 y x))))) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y y) z)) (*.f64 x t)) x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 (neg.f64 y) y y) t) (/.f64 y t)) z)))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) (*.f64 #s(literal 1/2 binary64) z) y) z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) y)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y)))) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) y)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y)))) z) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (fma.f64 (.f64 y (/.f64 z (.f64 t t))) (.f64 z y) (.f64 (neg.f64 x) x)) (neg.f64 (fma.f64 (/.f64 y t) z x))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (-.f64 (/.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 t t)) (.f64 x x)) (-.f64 (/.f64 (.f64 (neg.f64 z) y) t) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (fma.f64 y (.f64 z (.f64 y (/.f64 z (.f64 t t)))) (.f64 (neg.f64 x) x)) (-.f64 (/.f64 (*.f64 (neg.f64 z) y) t) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (.f64 (fma.f64 (.f64 z #s(literal 1/2 binary64)) (/.f64 (fma.f64 (neg.f64 y) y y) x) (/.f64 y x)) z)))) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (/ x (log (+ 1 ( (- (exp z) 1) y)))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 x z) (fma.f64 (neg.f64 y) y y)) (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 x y)) z)) t)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(approx (/ t (/ (log (+ 1 (* y (- (exp z) 1)))) x)) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 (.f64 (.f64 (fma.f64 (neg.f64 y) y y) x) z) (.f64 y y)) (/.f64 (*.f64 x t) y)) z))) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 z (-.f64 #s(literal 1 binary64) y)) y) (.f64 (.f64 z (-.f64 #s(literal 1 binary64) y)) y)) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) z) (fma.f64 (.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) #s(literal 1/2 binary64)) z (neg.f64 y)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (-.f64 (/.f64 (/.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 t t)) (-.f64 (/.f64 (.f64 (neg.f64 z) y) t) x)) (/.f64 (.f64 x x) (-.f64 (/.f64 (*.f64 (neg.f64 z) y) t) x))))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z z) 1/2) z) y) 1) #s(literal 1 binary64)))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 (expm1.f64 z) y)) (.f64 x t)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (.f64 z y))) (.f64 x t)) x))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z z) 1/2) z) y) 1) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z) y)))) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)))) t))
(fma.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) z z) y #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) t) x)
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z #s(literal 1 binary64)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 #s(approx ( (- (exp z) 1) y) (*.f64 z y)))) t)) x))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) z z) y #s(literal 1 binary64)))))))
(fma.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) t) x)
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z #s(literal 1 binary64)))))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(approx (/ t (/ (log (+ 1 (* y (- (exp z) 1)))) x)) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) t) (.f64 x y) (/.f64 (*.f64 x t) (expm1.f64 z))) y))) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) z) y (.f64 #s(literal 1/6 binary64) y)) z (.f64 #s(literal 1/2 binary64) y)) z y) z))) (*.f64 x t)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))

Outputs

#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (log1p.f64 #s(approx (* (- (exp z) 1) y) (*.f64 z y)))) t)) x))

(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))

(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))

Calls

4 calls:

45.0ms	z
44.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
14.0ms	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
14.0ms	(exp.f64 z)

Results

Accuracy	Segments	Branch
95.7%	3	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
95.7%	3	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
91.3%	2	`z`
91.3%	2	`(exp.f64 z)`

Compiler

Compiled 36 to 28 computations (22.2% saved)

regimes332.0ms (1.6%)

Memory

-5.2MiB live, 192.2MiB allocated

Counts

65 → 2

Calls

Call 1

Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (- (/ (* (* y z) (* y z)) (* t t)) (* x x)) (- (/ (* (neg z) y) t) x)) (*.f64 (neg.f64 y) (/.f64 z t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (.f64 y z) (/.f64 #s(literal -1 binary64) t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (neg.f64 y) (.f64 (/.f64 #s(literal 1 binary64) t) z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 #s(literal 1 binary64) t) (.f64 (neg.f64 y) z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (neg.f64 z) (/.f64 t y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (- (/ (* (* y z) (* y z)) (* t t)) (* x x)) (- (/ (* (neg z) y) t) x)) (/.f64 (fma.f64 (neg.f64 z) y (*.f64 x t)) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) t) (neg.f64 z)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (*.f64 (neg.f64 z) y) (/.f64 #s(literal 1 binary64) t) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (fma.f64 (/.f64 z (.f64 x t)) y #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 t) (*.f64 z y)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (- (/ (* (* y z) (* y z)) (* t t)) (* x x)) (- (/ (* (neg z) y) t) x)) (.f64 (fma.f64 (neg.f64 y) (/.f64 z (.f64 x t)) #s(literal 1 binary64)) x)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 z z)) y)))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 z #s(literal 1/2 binary64)) (*.f64 z y))))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 t y)) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* 1/2 z) (+ (* (neg y) y) y)) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y)) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (+ (* (* 1/2 z) (+ (* (neg y) y) y)) y) z) (.f64 (.f64 (.f64 (.f64 z y) z) y) #s(literal -1/2 binary64)))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* 1/2 z) (+ (* (neg y) y) y)) y) (.f64 (.f64 #s(literal -1/2 binary64) z) (*.f64 y y))) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (*.f64 (/.f64 z x) y)) t) (neg.f64 x) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y y) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y)) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y)) z) t)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (- (/ (* (* y z) (* y z)) (* t t)) (* x x)) (.f64 (neg.f64 x) x)) (-.f64 (/.f64 (.f64 (neg.f64 z) y) t) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(approx (/ t (/ (log (+ 1 (* y (- (exp z) 1)))) x)) (.f64 t (/.f64 x (.f64 z y))))) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (/ x (log (+ 1 ( (- (exp z) 1) y)))) (/.f64 x (*.f64 z y))) t)) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (*.f64 y (/.f64 z x))))) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (*.f64 z (/.f64 y x))))) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y y) z)) (*.f64 x t)) x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 (neg.f64 y) y y) t) (/.f64 y t)) z)))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) (*.f64 #s(literal 1/2 binary64) z) y) z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) y)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y)))) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) y)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y)))) z) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (fma.f64 (.f64 y (/.f64 z (.f64 t t))) (.f64 z y) (.f64 (neg.f64 x) x)) (neg.f64 (fma.f64 (/.f64 y t) z x))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (-.f64 (/.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 t t)) (.f64 x x)) (-.f64 (/.f64 (.f64 (neg.f64 z) y) t) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (fma.f64 y (.f64 z (.f64 y (/.f64 z (.f64 t t)))) (.f64 (neg.f64 x) x)) (-.f64 (/.f64 (*.f64 (neg.f64 z) y) t) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (.f64 (fma.f64 (.f64 z #s(literal 1/2 binary64)) (/.f64 (fma.f64 (neg.f64 y) y y) x) (/.f64 y x)) z)))) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (/ x (log (+ 1 ( (- (exp z) 1) y)))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 x z) (fma.f64 (neg.f64 y) y y)) (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 x y)) z)) t)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(approx (/ t (/ (log (+ 1 (* y (- (exp z) 1)))) x)) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 (.f64 (.f64 (fma.f64 (neg.f64 y) y y) x) z) (.f64 y y)) (/.f64 (*.f64 x t) y)) z))) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 z (-.f64 #s(literal 1 binary64) y)) y) (.f64 (.f64 z (-.f64 #s(literal 1 binary64) y)) y)) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) z) (fma.f64 (.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) #s(literal 1/2 binary64)) z (neg.f64 y)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (-.f64 (/.f64 (/.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 t t)) (-.f64 (/.f64 (.f64 (neg.f64 z) y) t) x)) (/.f64 (.f64 x x) (-.f64 (/.f64 (*.f64 (neg.f64 z) y) t) x))))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z z) 1/2) z) y) 1) #s(literal 1 binary64)))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 (expm1.f64 z) y)) (.f64 x t)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (.f64 z y))) (.f64 x t)) x))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z z) 1/2) z) y) 1) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z) y)))) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)))) t))
(fma.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) z z) y #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) t) x)
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z #s(literal 1 binary64)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 #s(approx ( (- (exp z) 1) y) (*.f64 z y)))) t)) x))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) z z) y #s(literal 1 binary64)))))))
(fma.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) t) x)
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z #s(literal 1 binary64)))))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(approx (/ t (/ (log (+ 1 (* y (- (exp z) 1)))) x)) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) t) (.f64 x y) (/.f64 (*.f64 x t) (expm1.f64 z))) y))) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) z) y (.f64 #s(literal 1/6 binary64) y)) z (.f64 #s(literal 1/2 binary64) y)) z y) z))) (*.f64 x t)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))

Outputs

(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))

#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (log1p.f64 #s(approx (* (- (exp z) 1) y) (*.f64 z y)))) t)) x))

Calls

9 calls:

83.0ms	z
68.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
48.0ms	t
46.0ms	x
22.0ms	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))

Results

Accuracy	Segments	Branch
90.4%	2	`z`
90.2%	2	`(exp.f64 z)`
87.8%	2	`x`
91.3%	3	`y`
87.7%	2	`t`
91.4%	3	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
90.5%	3	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
91.6%	3	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
91.6%	3	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`

Compiler

Compiled 83 to 63 computations (24.1% saved)

regimes107.0ms (0.5%)

Memory

-6.5MiB live, 107.2MiB allocated

Counts

58 → 3

Calls

Call 1

Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (- (/ (* (* y z) (* y z)) (* t t)) (* x x)) (- (/ (* (neg z) y) t) x)) (*.f64 (neg.f64 y) (/.f64 z t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (.f64 y z) (/.f64 #s(literal -1 binary64) t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (neg.f64 y) (.f64 (/.f64 #s(literal 1 binary64) t) z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 #s(literal 1 binary64) t) (.f64 (neg.f64 y) z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (neg.f64 z) (/.f64 t y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (- (/ (* (* y z) (* y z)) (* t t)) (* x x)) (- (/ (* (neg z) y) t) x)) (/.f64 (fma.f64 (neg.f64 z) y (*.f64 x t)) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) t) (neg.f64 z)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (*.f64 (neg.f64 z) y) (/.f64 #s(literal 1 binary64) t) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (fma.f64 (/.f64 z (.f64 x t)) y #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 t) (*.f64 z y)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (- (/ (* (* y z) (* y z)) (* t t)) (* x x)) (- (/ (* (neg z) y) t) x)) (.f64 (fma.f64 (neg.f64 y) (/.f64 z (.f64 x t)) #s(literal 1 binary64)) x)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 z z)) y)))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 z #s(literal 1/2 binary64)) (*.f64 z y))))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 t y)) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* 1/2 z) (+ (* (neg y) y) y)) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y)) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (+ (* (* 1/2 z) (+ (* (neg y) y) y)) y) z) (.f64 (.f64 (.f64 (.f64 z y) z) y) #s(literal -1/2 binary64)))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* 1/2 z) (+ (* (neg y) y) y)) y) (.f64 (.f64 #s(literal -1/2 binary64) z) (*.f64 y y))) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (*.f64 (/.f64 z x) y)) t) (neg.f64 x) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y y) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y)) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y)) z) t)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (- (/ (* (* y z) (* y z)) (* t t)) (* x x)) (.f64 (neg.f64 x) x)) (-.f64 (/.f64 (.f64 (neg.f64 z) y) t) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(approx (/ t (/ (log (+ 1 (* y (- (exp z) 1)))) x)) (.f64 t (/.f64 x (.f64 z y))))) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (/ x (log (+ 1 ( (- (exp z) 1) y)))) (/.f64 x (*.f64 z y))) t)) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (*.f64 y (/.f64 z x))))) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (*.f64 z (/.f64 y x))))) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y y) z)) (*.f64 x t)) x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 (neg.f64 y) y y) t) (/.f64 y t)) z)))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) (*.f64 #s(literal 1/2 binary64) z) y) z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) y)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y)))) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) y)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y)))) z) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (fma.f64 (.f64 y (/.f64 z (.f64 t t))) (.f64 z y) (.f64 (neg.f64 x) x)) (neg.f64 (fma.f64 (/.f64 y t) z x))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (-.f64 (/.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 t t)) (.f64 x x)) (-.f64 (/.f64 (.f64 (neg.f64 z) y) t) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (fma.f64 y (.f64 z (.f64 y (/.f64 z (.f64 t t)))) (.f64 (neg.f64 x) x)) (-.f64 (/.f64 (*.f64 (neg.f64 z) y) t) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (.f64 (fma.f64 (.f64 z #s(literal 1/2 binary64)) (/.f64 (fma.f64 (neg.f64 y) y y) x) (/.f64 y x)) z)))) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (/ x (log (+ 1 ( (- (exp z) 1) y)))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 x z) (fma.f64 (neg.f64 y) y y)) (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 x y)) z)) t)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(approx (/ t (/ (log (+ 1 (* y (- (exp z) 1)))) x)) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 (.f64 (.f64 (fma.f64 (neg.f64 y) y y) x) z) (.f64 y y)) (/.f64 (*.f64 x t) y)) z))) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 z (-.f64 #s(literal 1 binary64) y)) y) (.f64 (.f64 z (-.f64 #s(literal 1 binary64) y)) y)) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) z) (fma.f64 (.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) #s(literal 1/2 binary64)) z (neg.f64 y)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (-.f64 (/.f64 (/.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 t t)) (-.f64 (/.f64 (.f64 (neg.f64 z) y) t) x)) (/.f64 (.f64 x x) (-.f64 (/.f64 (*.f64 (neg.f64 z) y) t) x))))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z z) 1/2) z) y) 1) #s(literal 1 binary64)))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 (expm1.f64 z) y)) (.f64 x t)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (.f64 z y))) (.f64 x t)) x))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z z) 1/2) z) y) 1) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) z z) y)))) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z z) #s(literal 1/2 binary64) z) y #s(literal 1 binary64)))) t))
(fma.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) z z) y #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) t) x)
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z #s(literal 1 binary64)))) t))

Outputs

#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (*.f64 z y))) (*.f64 x t)) x))

(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))

(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))

Calls

4 calls:

34.0ms	z
32.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
13.0ms	(exp.f64 z)
13.0ms	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))

Results

Accuracy	Segments	Branch
91.6%	3	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
91.6%	3	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
88.4%	2	`(exp.f64 z)`
89.0%	2	`z`

Compiler

Compiled 36 to 28 computations (22.2% saved)

regimes118.0ms (0.6%)

Memory

-11.0MiB live, 119.9MiB allocated

Counts

52 → 3

Calls

Call 1

Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (- (/ (* (* y z) (* y z)) (* t t)) (* x x)) (- (/ (* (neg z) y) t) x)) (*.f64 (neg.f64 y) (/.f64 z t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (.f64 y z) (/.f64 #s(literal -1 binary64) t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (neg.f64 y) (.f64 (/.f64 #s(literal 1 binary64) t) z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 #s(literal 1 binary64) t) (.f64 (neg.f64 y) z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (neg.f64 z) (/.f64 t y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (- (/ (* (* y z) (* y z)) (* t t)) (* x x)) (- (/ (* (neg z) y) t) x)) (/.f64 (fma.f64 (neg.f64 z) y (*.f64 x t)) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) t) (neg.f64 z)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (*.f64 (neg.f64 z) y) (/.f64 #s(literal 1 binary64) t) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (fma.f64 (/.f64 z (.f64 x t)) y #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 t) (*.f64 z y)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (- (/ (* (* y z) (* y z)) (* t t)) (* x x)) (- (/ (* (neg z) y) t) x)) (.f64 (fma.f64 (neg.f64 y) (/.f64 z (.f64 x t)) #s(literal 1 binary64)) x)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 z z)) y)))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 z #s(literal 1/2 binary64)) (*.f64 z y))))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 t y)) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* 1/2 z) (+ (* (neg y) y) y)) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y)) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (+ (* (* 1/2 z) (+ (* (neg y) y) y)) y) z) (.f64 (.f64 (.f64 (.f64 z y) z) y) #s(literal -1/2 binary64)))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* 1/2 z) (+ (* (neg y) y) y)) y) (.f64 (.f64 #s(literal -1/2 binary64) z) (*.f64 y y))) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (*.f64 (/.f64 z x) y)) t) (neg.f64 x) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y y) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y)) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y)) z) t)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (- (/ (* (* y z) (* y z)) (* t t)) (* x x)) (.f64 (neg.f64 x) x)) (-.f64 (/.f64 (.f64 (neg.f64 z) y) t) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(approx (/ t (/ (log (+ 1 (* y (- (exp z) 1)))) x)) (.f64 t (/.f64 x (.f64 z y))))) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (/ x (log (+ 1 ( (- (exp z) 1) y)))) (/.f64 x (*.f64 z y))) t)) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (*.f64 y (/.f64 z x))))) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (*.f64 z (/.f64 y x))))) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y y) z)) (*.f64 x t)) x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 (neg.f64 y) y y) t) (/.f64 y t)) z)))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) (*.f64 #s(literal 1/2 binary64) z) y) z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) y)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y)))) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) y)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y)))) z) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (fma.f64 (.f64 y (/.f64 z (.f64 t t))) (.f64 z y) (.f64 (neg.f64 x) x)) (neg.f64 (fma.f64 (/.f64 y t) z x))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (-.f64 (/.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 t t)) (.f64 x x)) (-.f64 (/.f64 (.f64 (neg.f64 z) y) t) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (fma.f64 y (.f64 z (.f64 y (/.f64 z (.f64 t t)))) (.f64 (neg.f64 x) x)) (-.f64 (/.f64 (*.f64 (neg.f64 z) y) t) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (.f64 (fma.f64 (.f64 z #s(literal 1/2 binary64)) (/.f64 (fma.f64 (neg.f64 y) y y) x) (/.f64 y x)) z)))) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (/ x (log (+ 1 ( (- (exp z) 1) y)))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 x z) (fma.f64 (neg.f64 y) y y)) (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 x y)) z)) t)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(approx (/ t (/ (log (+ 1 (* y (- (exp z) 1)))) x)) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 (.f64 (.f64 (fma.f64 (neg.f64 y) y y) x) z) (.f64 y y)) (/.f64 (*.f64 x t) y)) z))) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 z (-.f64 #s(literal 1 binary64) y)) y) (.f64 (.f64 z (-.f64 #s(literal 1 binary64) y)) y)) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) z) (fma.f64 (.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) #s(literal 1/2 binary64)) z (neg.f64 y)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (-.f64 (/.f64 (/.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 t t)) (-.f64 (/.f64 (.f64 (neg.f64 z) y) t) x)) (/.f64 (.f64 x x) (-.f64 (/.f64 (*.f64 (neg.f64 z) y) t) x))))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z z) 1/2) z) y) 1) #s(literal 1 binary64)))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 (expm1.f64 z) y)) (.f64 x t)) x))

Outputs

(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))

(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))

(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))

Calls

6 calls:

35.0ms	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
24.0ms	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
18.0ms	z
14.0ms	y
12.0ms	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))

Results

Accuracy	Segments	Branch
86.0%	1	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
88.2%	2	`z`
90.2%	3	`y`
88.0%	2	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
87.9%	2	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
87.9%	2	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`

Compiler

Compiled 67 to 50 computations (25.4% saved)

regimes115.0ms (0.5%)

Memory

24.0MiB live, 98.6MiB allocated

Counts

50 → 2

Calls

Call 1

Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (- (/ (* (* y z) (* y z)) (* t t)) (* x x)) (- (/ (* (neg z) y) t) x)) (*.f64 (neg.f64 y) (/.f64 z t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (.f64 y z) (/.f64 #s(literal -1 binary64) t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (neg.f64 y) (.f64 (/.f64 #s(literal 1 binary64) t) z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 #s(literal 1 binary64) t) (.f64 (neg.f64 y) z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (neg.f64 z) (/.f64 t y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (- (/ (* (* y z) (* y z)) (* t t)) (* x x)) (- (/ (* (neg z) y) t) x)) (/.f64 (fma.f64 (neg.f64 z) y (*.f64 x t)) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) t) (neg.f64 z)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (*.f64 (neg.f64 z) y) (/.f64 #s(literal 1 binary64) t) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (fma.f64 (/.f64 z (.f64 x t)) y #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 t) (*.f64 z y)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (- (/ (* (* y z) (* y z)) (* t t)) (* x x)) (- (/ (* (neg z) y) t) x)) (.f64 (fma.f64 (neg.f64 y) (/.f64 z (.f64 x t)) #s(literal 1 binary64)) x)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 z z)) y)))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 z #s(literal 1/2 binary64)) (*.f64 z y))))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 t y)) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* 1/2 z) (+ (* (neg y) y) y)) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y)) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (+ (* (* 1/2 z) (+ (* (neg y) y) y)) y) z) (.f64 (.f64 (.f64 (.f64 z y) z) y) #s(literal -1/2 binary64)))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* 1/2 z) (+ (* (neg y) y) y)) y) (.f64 (.f64 #s(literal -1/2 binary64) z) (*.f64 y y))) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (*.f64 (/.f64 z x) y)) t) (neg.f64 x) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y y) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y)) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y)) z) t)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (- (/ (* (* y z) (* y z)) (* t t)) (* x x)) (.f64 (neg.f64 x) x)) (-.f64 (/.f64 (.f64 (neg.f64 z) y) t) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(approx (/ t (/ (log (+ 1 (* y (- (exp z) 1)))) x)) (.f64 t (/.f64 x (.f64 z y))))) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (/ x (log (+ 1 ( (- (exp z) 1) y)))) (/.f64 x (*.f64 z y))) t)) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (*.f64 y (/.f64 z x))))) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (*.f64 z (/.f64 y x))))) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y y) z)) (*.f64 x t)) x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 (neg.f64 y) y y) t) (/.f64 y t)) z)))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) (*.f64 #s(literal 1/2 binary64) z) y) z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) y)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y)))) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) y)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y)))) z) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (fma.f64 (.f64 y (/.f64 z (.f64 t t))) (.f64 z y) (.f64 (neg.f64 x) x)) (neg.f64 (fma.f64 (/.f64 y t) z x))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (-.f64 (/.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 t t)) (.f64 x x)) (-.f64 (/.f64 (.f64 (neg.f64 z) y) t) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (fma.f64 y (.f64 z (.f64 y (/.f64 z (.f64 t t)))) (.f64 (neg.f64 x) x)) (-.f64 (/.f64 (*.f64 (neg.f64 z) y) t) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (.f64 (fma.f64 (.f64 z #s(literal 1/2 binary64)) (/.f64 (fma.f64 (neg.f64 y) y y) x) (/.f64 y x)) z)))) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (/ x (log (+ 1 ( (- (exp z) 1) y)))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 x z) (fma.f64 (neg.f64 y) y y)) (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 x y)) z)) t)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(approx (/ t (/ (log (+ 1 (* y (- (exp z) 1)))) x)) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 (.f64 (.f64 (fma.f64 (neg.f64 y) y y) x) z) (.f64 y y)) (/.f64 (*.f64 x t) y)) z))) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 z (-.f64 #s(literal 1 binary64) y)) y) (.f64 (.f64 z (-.f64 #s(literal 1 binary64) y)) y)) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) z) (fma.f64 (.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) #s(literal 1/2 binary64)) z (neg.f64 y)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (-.f64 (/.f64 (/.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 t t)) (-.f64 (/.f64 (.f64 (neg.f64 z) y) t) x)) (/.f64 (.f64 x x) (-.f64 (/.f64 (*.f64 (neg.f64 z) y) t) x))))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z z) 1/2) z) y) 1) #s(literal 1 binary64)))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))

Outputs
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))

Calls

6 calls:

45.0ms	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
19.0ms	z
14.0ms	y
11.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
11.0ms	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)

Results

Accuracy	Segments	Branch
87.9%	2	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
87.9%	2	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
86.0%	1	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
87.7%	2	`z`
87.7%	2	`(exp.f64 z)`
86.0%	1	`y`

Compiler

Compiled 56 to 43 computations (23.2% saved)

regimes203.0ms (1%)

Memory

5.0MiB live, 167.0MiB allocated

Counts

49 → 2

Calls

Call 1

Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (- (/ (* (* y z) (* y z)) (* t t)) (* x x)) (- (/ (* (neg z) y) t) x)) (*.f64 (neg.f64 y) (/.f64 z t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (.f64 y z) (/.f64 #s(literal -1 binary64) t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (neg.f64 y) (.f64 (/.f64 #s(literal 1 binary64) t) z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 #s(literal 1 binary64) t) (.f64 (neg.f64 y) z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (neg.f64 z) (/.f64 t y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (- (/ (* (* y z) (* y z)) (* t t)) (* x x)) (- (/ (* (neg z) y) t) x)) (/.f64 (fma.f64 (neg.f64 z) y (*.f64 x t)) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) t) (neg.f64 z)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (*.f64 (neg.f64 z) y) (/.f64 #s(literal 1 binary64) t) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (fma.f64 (/.f64 z (.f64 x t)) y #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 t) (*.f64 z y)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (- (/ (* (* y z) (* y z)) (* t t)) (* x x)) (- (/ (* (neg z) y) t) x)) (.f64 (fma.f64 (neg.f64 y) (/.f64 z (.f64 x t)) #s(literal 1 binary64)) x)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 z z)) y)))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 z #s(literal 1/2 binary64)) (*.f64 z y))))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 t y)) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* 1/2 z) (+ (* (neg y) y) y)) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y)) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (+ (* (* 1/2 z) (+ (* (neg y) y) y)) y) z) (.f64 (.f64 (.f64 (.f64 z y) z) y) #s(literal -1/2 binary64)))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* 1/2 z) (+ (* (neg y) y) y)) y) (.f64 (.f64 #s(literal -1/2 binary64) z) (*.f64 y y))) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (*.f64 (/.f64 z x) y)) t) (neg.f64 x) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y y) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y)) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y)) z) t)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (- (/ (* (* y z) (* y z)) (* t t)) (* x x)) (.f64 (neg.f64 x) x)) (-.f64 (/.f64 (.f64 (neg.f64 z) y) t) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(approx (/ t (/ (log (+ 1 (* y (- (exp z) 1)))) x)) (.f64 t (/.f64 x (.f64 z y))))) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (/ x (log (+ 1 ( (- (exp z) 1) y)))) (/.f64 x (*.f64 z y))) t)) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (*.f64 y (/.f64 z x))))) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (*.f64 z (/.f64 y x))))) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y y) z)) (*.f64 x t)) x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 (neg.f64 y) y y) t) (/.f64 y t)) z)))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) (*.f64 #s(literal 1/2 binary64) z) y) z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) y)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y)))) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) y)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y)))) z) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (fma.f64 (.f64 y (/.f64 z (.f64 t t))) (.f64 z y) (.f64 (neg.f64 x) x)) (neg.f64 (fma.f64 (/.f64 y t) z x))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (-.f64 (/.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 t t)) (.f64 x x)) (-.f64 (/.f64 (.f64 (neg.f64 z) y) t) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (fma.f64 y (.f64 z (.f64 y (/.f64 z (.f64 t t)))) (.f64 (neg.f64 x) x)) (-.f64 (/.f64 (*.f64 (neg.f64 z) y) t) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (.f64 (fma.f64 (.f64 z #s(literal 1/2 binary64)) (/.f64 (fma.f64 (neg.f64 y) y y) x) (/.f64 y x)) z)))) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (/ x (log (+ 1 ( (- (exp z) 1) y)))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 x z) (fma.f64 (neg.f64 y) y y)) (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 x y)) z)) t)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(approx (/ t (/ (log (+ 1 (* y (- (exp z) 1)))) x)) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 (.f64 (.f64 (fma.f64 (neg.f64 y) y y) x) z) (.f64 y y)) (/.f64 (*.f64 x t) y)) z))) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 z (-.f64 #s(literal 1 binary64) y)) y) (.f64 (.f64 z (-.f64 #s(literal 1 binary64) y)) y)) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) z) (fma.f64 (.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) #s(literal 1/2 binary64)) z (neg.f64 y)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (-.f64 (/.f64 (/.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 t t)) (-.f64 (/.f64 (.f64 (neg.f64 z) y) t) x)) (/.f64 (.f64 x x) (-.f64 (/.f64 (*.f64 (neg.f64 z) y) t) x))))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z z) 1/2) z) y) 1) #s(literal 1 binary64)))) t))

Outputs
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y)))

Calls

9 calls:

42.0ms	y
40.0ms	x
32.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
25.0ms	(exp.f64 z)
14.0ms	t

Results

Accuracy	Segments	Branch
80.7%	2	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
77.3%	1	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
79.9%	2	`y`
82.3%	3	`t`
84.6%	2	`(exp.f64 z)`
85.0%	2	`z`
82.6%	2	`x`
81.8%	3	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
81.8%	3	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`

Compiler

Compiled 83 to 63 computations (24.1% saved)

regimes55.0ms (0.3%)

Memory

-21.4MiB live, 17.7MiB allocated

Counts

47 → 2

Calls

Call 1

Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (- (/ (* (* y z) (* y z)) (* t t)) (* x x)) (- (/ (* (neg z) y) t) x)) (*.f64 (neg.f64 y) (/.f64 z t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (.f64 y z) (/.f64 #s(literal -1 binary64) t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (neg.f64 y) (.f64 (/.f64 #s(literal 1 binary64) t) z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 #s(literal 1 binary64) t) (.f64 (neg.f64 y) z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (neg.f64 z) (/.f64 t y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (- (/ (* (* y z) (* y z)) (* t t)) (* x x)) (- (/ (* (neg z) y) t) x)) (/.f64 (fma.f64 (neg.f64 z) y (*.f64 x t)) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) t) (neg.f64 z)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (*.f64 (neg.f64 z) y) (/.f64 #s(literal 1 binary64) t) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (fma.f64 (/.f64 z (.f64 x t)) y #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 t) (*.f64 z y)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (- (/ (* (* y z) (* y z)) (* t t)) (* x x)) (- (/ (* (neg z) y) t) x)) (.f64 (fma.f64 (neg.f64 y) (/.f64 z (.f64 x t)) #s(literal 1 binary64)) x)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 z z)) y)))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 z #s(literal 1/2 binary64)) (*.f64 z y))))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 t y)) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* 1/2 z) (+ (* (neg y) y) y)) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y)) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (+ (* (* 1/2 z) (+ (* (neg y) y) y)) y) z) (.f64 (.f64 (.f64 (.f64 z y) z) y) #s(literal -1/2 binary64)))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* 1/2 z) (+ (* (neg y) y) y)) y) (.f64 (.f64 #s(literal -1/2 binary64) z) (*.f64 y y))) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (*.f64 (/.f64 z x) y)) t) (neg.f64 x) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y y) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y)) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y)) z) t)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (- (/ (* (* y z) (* y z)) (* t t)) (* x x)) (.f64 (neg.f64 x) x)) (-.f64 (/.f64 (.f64 (neg.f64 z) y) t) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(approx (/ t (/ (log (+ 1 (* y (- (exp z) 1)))) x)) (.f64 t (/.f64 x (.f64 z y))))) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (/ x (log (+ 1 ( (- (exp z) 1) y)))) (/.f64 x (*.f64 z y))) t)) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (*.f64 y (/.f64 z x))))) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (*.f64 z (/.f64 y x))))) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y y) z)) (*.f64 x t)) x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 (neg.f64 y) y y) t) (/.f64 y t)) z)))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) (*.f64 #s(literal 1/2 binary64) z) y) z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) y)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y)))) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) y)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y)))) z) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (fma.f64 (.f64 y (/.f64 z (.f64 t t))) (.f64 z y) (.f64 (neg.f64 x) x)) (neg.f64 (fma.f64 (/.f64 y t) z x))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (-.f64 (/.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 t t)) (.f64 x x)) (-.f64 (/.f64 (.f64 (neg.f64 z) y) t) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (fma.f64 y (.f64 z (.f64 y (/.f64 z (.f64 t t)))) (.f64 (neg.f64 x) x)) (-.f64 (/.f64 (*.f64 (neg.f64 z) y) t) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (.f64 (fma.f64 (.f64 z #s(literal 1/2 binary64)) (/.f64 (fma.f64 (neg.f64 y) y y) x) (/.f64 y x)) z)))) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (/ x (log (+ 1 ( (- (exp z) 1) y)))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 x z) (fma.f64 (neg.f64 y) y y)) (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 x y)) z)) t)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(approx (/ t (/ (log (+ 1 (* y (- (exp z) 1)))) x)) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 (.f64 (.f64 (fma.f64 (neg.f64 y) y y) x) z) (.f64 y y)) (/.f64 (*.f64 x t) y)) z))) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 z (-.f64 #s(literal 1 binary64) y)) y) (.f64 (.f64 z (-.f64 #s(literal 1 binary64) y)) y)) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) z) (fma.f64 (.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) #s(literal 1/2 binary64)) z (neg.f64 y)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (-.f64 (/.f64 (/.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 t t)) (-.f64 (/.f64 (.f64 (neg.f64 z) y) t) x)) (/.f64 (.f64 x x) (-.f64 (/.f64 (*.f64 (neg.f64 z) y) t) x))))

Outputs

#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ x (log (+ 1 (* (- (exp z) 1) y)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x z) (fma.f64 (neg.f64 y) y y)) (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 x y)) z)) t)) x))

(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y)))

Calls

2 calls:

40.0ms	(exp.f64 z)
13.0ms	z

Results

Accuracy	Segments	Branch
83.3%	2	`(exp.f64 z)`
84.2%	2	`z`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes127.0ms (0.6%)

Memory

26.7MiB live, 70.3MiB allocated

Counts

43 → 2

Calls

Call 1

Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (- (/ (* (* y z) (* y z)) (* t t)) (* x x)) (- (/ (* (neg z) y) t) x)) (*.f64 (neg.f64 y) (/.f64 z t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (.f64 y z) (/.f64 #s(literal -1 binary64) t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (neg.f64 y) (.f64 (/.f64 #s(literal 1 binary64) t) z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 #s(literal 1 binary64) t) (.f64 (neg.f64 y) z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (neg.f64 z) (/.f64 t y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (- (/ (* (* y z) (* y z)) (* t t)) (* x x)) (- (/ (* (neg z) y) t) x)) (/.f64 (fma.f64 (neg.f64 z) y (*.f64 x t)) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) t) (neg.f64 z)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (*.f64 (neg.f64 z) y) (/.f64 #s(literal 1 binary64) t) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (fma.f64 (/.f64 z (.f64 x t)) y #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 t) (*.f64 z y)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (- (/ (* (* y z) (* y z)) (* t t)) (* x x)) (- (/ (* (neg z) y) t) x)) (.f64 (fma.f64 (neg.f64 y) (/.f64 z (.f64 x t)) #s(literal 1 binary64)) x)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 z z)) y)))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 z #s(literal 1/2 binary64)) (*.f64 z y))))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 t y)) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 z z) #s(literal 1/2 binary64) z) y))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* 1/2 z) (+ (* (neg y) y) y)) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y)) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (+ (* (* 1/2 z) (+ (* (neg y) y) y)) y) z) (.f64 (.f64 (.f64 (.f64 z y) z) y) #s(literal -1/2 binary64)))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* 1/2 z) (+ (* (neg y) y) y)) y) (.f64 (.f64 #s(literal -1/2 binary64) z) (*.f64 y y))) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (*.f64 (/.f64 z x) y)) t) (neg.f64 x) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y y) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y)) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y)) z) t)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (- (/ (* (* y z) (* y z)) (* t t)) (* x x)) (.f64 (neg.f64 x) x)) (-.f64 (/.f64 (.f64 (neg.f64 z) y) t) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(approx (/ t (/ (log (+ 1 (* y (- (exp z) 1)))) x)) (.f64 t (/.f64 x (.f64 z y))))) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (/ x (log (+ 1 ( (- (exp z) 1) y)))) (/.f64 x (*.f64 z y))) t)) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (*.f64 y (/.f64 z x))))) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (*.f64 z (/.f64 y x))))) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y y) z)) (*.f64 x t)) x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 (neg.f64 y) y y) t) (/.f64 y t)) z)))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) (*.f64 #s(literal 1/2 binary64) z) y) z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) y)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y)))) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) y)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y)))) z) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (fma.f64 (.f64 y (/.f64 z (.f64 t t))) (.f64 z y) (.f64 (neg.f64 x) x)) (neg.f64 (fma.f64 (/.f64 y t) z x))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (-.f64 (/.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 t t)) (.f64 x x)) (-.f64 (/.f64 (.f64 (neg.f64 z) y) t) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (fma.f64 y (.f64 z (.f64 y (/.f64 z (.f64 t t)))) (.f64 (neg.f64 x) x)) (-.f64 (/.f64 (*.f64 (neg.f64 z) y) t) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) x) (.f64 (fma.f64 (.f64 z #s(literal 1/2 binary64)) (/.f64 (fma.f64 (neg.f64 y) y y) x) (/.f64 y x)) z)))) x))

Outputs
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 t y)) x))

Calls

8 calls:

48.0ms	t
12.0ms	z
12.0ms	x
12.0ms	y
12.0ms	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))

Results

Accuracy	Segments	Branch
77.3%	1	`y`
79.4%	2	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
79.4%	2	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
77.3%	1	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
77.3%	1	`t`
79.2%	2	`x`
79.2%	2	`(exp.f64 z)`
79.2%	2	`z`

Compiler

Compiled 68 to 52 computations (23.5% saved)

regimes53.0ms (0.3%)

Memory

-2.1MiB live, 36.8MiB allocated

Counts

18 → 2

Calls

Call 1

Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (- (/ (* (* y z) (* y z)) (* t t)) (* x x)) (- (/ (* (neg z) y) t) x)) (*.f64 (neg.f64 y) (/.f64 z t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (.f64 y z) (/.f64 #s(literal -1 binary64) t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (neg.f64 y) (.f64 (/.f64 #s(literal 1 binary64) t) z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 #s(literal 1 binary64) t) (.f64 (neg.f64 y) z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (neg.f64 z) (/.f64 t y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (- (/ (* (* y z) (* y z)) (* t t)) (* x x)) (- (/ (* (neg z) y) t) x)) (/.f64 (fma.f64 (neg.f64 z) y (*.f64 x t)) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) t) (neg.f64 z)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (*.f64 (neg.f64 z) y) (/.f64 #s(literal 1 binary64) t) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (fma.f64 (/.f64 z (.f64 x t)) y #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 t) (*.f64 z y)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (- (/ (* (* y z) (* y z)) (* t t)) (* x x)) (- (/ (* (neg z) y) t) x)) (.f64 (fma.f64 (neg.f64 y) (/.f64 z (.f64 x t)) #s(literal 1 binary64)) x)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 z z)) y)))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* (* z z) 1/2) z) y) (.f64 (.f64 z #s(literal 1/2 binary64)) (*.f64 z y))))) t))

Outputs

(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y)))

#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (fma.f64 (/.f64 z (*.f64 x t)) y #s(literal -1 binary64)) (neg.f64 x))))

Calls

5 calls:

32.0ms	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
6.0ms	x
6.0ms	z
5.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
4.0ms	(exp.f64 z)

Results

Accuracy	Segments	Branch
79.0%	2	`(exp.f64 z)`
79.0%	2	`z`
79.0%	2	`x`
79.0%	2	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
79.0%	2	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`

Compiler

Compiled 41 to 32 computations (22% saved)

regimes70.0ms (0.3%)

Memory

-30.3MiB live, 47.5MiB allocated

Counts

13 → 2

Calls

Call 1

Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (- (/ (* (* y z) (* y z)) (* t t)) (* x x)) (- (/ (* (neg z) y) t) x)) (*.f64 (neg.f64 y) (/.f64 z t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (.f64 y z) (/.f64 #s(literal -1 binary64) t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (neg.f64 y) (.f64 (/.f64 #s(literal 1 binary64) t) z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 #s(literal 1 binary64) t) (.f64 (neg.f64 y) z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (neg.f64 z) (/.f64 t y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (- (/ (* (* y z) (* y z)) (* t t)) (* x x)) (- (/ (* (neg z) y) t) x)) (/.f64 (fma.f64 (neg.f64 z) y (*.f64 x t)) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) t) (neg.f64 z)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (*.f64 (neg.f64 z) y) (/.f64 #s(literal 1 binary64) t) x))

Outputs
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))

Calls

5 calls:

32.0ms	x
5.0ms	z
4.0ms	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
3.0ms	(exp.f64 z)
3.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))

Results

Accuracy	Segments	Branch
79.0%	2	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
79.0%	2	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
77.3%	1	`(exp.f64 z)`
77.3%	1	`z`
77.3%	1	`x`

Compiler

Compiled 41 to 32 computations (22% saved)

regimes10.0ms (0%)

Memory

20.1MiB live, 20.1MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (- (/ (* (* y z) (* y z)) (* t t)) (* x x)) (- (/ (* (neg z) y) t) x)) (*.f64 (neg.f64 y) (/.f64 z t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y)))

Outputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y)))

Calls

4 calls:

3.0ms	z
2.0ms	y
2.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
2.0ms	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))

Results

Accuracy	Segments	Branch
77.3%	1	`y`
77.3%	1	`z`
77.3%	1	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
77.3%	1	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`

Compiler

Compiled 35 to 27 computations (22.9% saved)

regimes117.0ms (0.6%)

Memory

-12.0MiB live, 28.8MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (- (/ (* (* y z) (* y z)) (* t t)) (* x x)) (- (/ (* (neg z) y) t) x)) (*.f64 (neg.f64 y) (/.f64 z t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))

Outputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))

Calls

9 calls:

100.0ms	x
2.0ms	t
2.0ms	z
2.0ms	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
2.0ms	y

Results

Accuracy	Segments	Branch
76.2%	1	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
76.2%	1	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
76.2%	1	`t`
76.2%	1	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
76.2%	1	`x`
76.2%	1	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
76.2%	1	`(exp.f64 z)`
76.2%	1	`y`
76.2%	1	`z`

Compiler

Compiled 83 to 63 computations (24.1% saved)

regimes31.0ms (0.1%)

Memory

-5.7MiB live, 33.3MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z)))

#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t)))

#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (- (/ (* (* y z) (* y z)) (* t t)) (* x x)) (- (/ (* (neg z) y) t) x)) (*.f64 (neg.f64 y) (/.f64 z t))))

Outputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (- (/ (* (* y z) (* y z)) (* t t)) (* x x)) (- (/ (* (neg z) y) t) x)) (*.f64 (neg.f64 y) (/.f64 z t))))

Calls

9 calls:

16.0ms	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
2.0ms	x
2.0ms	z
2.0ms	t
2.0ms	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))

Results

Accuracy	Segments	Branch
13.1%	1	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
13.1%	1	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
13.1%	1	`x`
13.1%	1	`t`
13.1%	1	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
13.1%	1	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
13.1%	1	`(exp.f64 z)`
13.1%	1	`y`
13.1%	1	`z`

Compiler

Compiled 83 to 63 computations (24.1% saved)

regimes14.0ms (0.1%)

Memory

22.8MiB live, 22.8MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z)))

#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t)))

Outputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t)))

Calls

9 calls:

2.0ms	y
2.0ms	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
2.0ms	z
2.0ms	x
2.0ms	t

Results

Accuracy	Segments	Branch
12.0%	1	`y`
12.0%	1	`x`
12.0%	1	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
12.0%	1	`(exp.f64 z)`
12.0%	1	`z`
12.0%	1	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
12.0%	1	`t`
12.0%	1	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
12.0%	1	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`

Compiler

Compiled 83 to 63 computations (24.1% saved)

regimes30.0ms (0.1%)

Memory

-7.1MiB live, 30.7MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z)))

Outputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z)))

Calls

9 calls:

20.0ms	x
1.0ms	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
1.0ms	y
1.0ms	z
1.0ms	t

Results

Accuracy	Segments	Branch
11.1%	1	`y`
11.1%	1	`z`
11.1%	1	`(exp.f64 z)`
11.1%	1	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
11.1%	1	`x`
11.1%	1	`t`
11.1%	1	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
11.1%	1	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
11.1%	1	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`

Compiler

Compiled 83 to 63 computations (24.1% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.020672265688588383

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	38.22350111726657
0.0ms	0.0	1.0

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch51.0ms (0.2%)

Memory

5.5MiB live, 42.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
49.0ms	-5.317778108434357e+111	-1.9339025820375844e+104

Samples

33.0ms	43×	1	valid
8.0ms	101×	0	valid
1.0ms	19×	0	invalid

Compiler

Compiled 335 to 217 computations (35.2% saved)

Precisions

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

ival-log: 29.0ms (77.9% of total)

ival-sub: 2.0ms (5.4% of total)

ival-div: 2.0ms (5.4% of total)

ival-add: 1.0ms (2.7% of total)

adjust: 1.0ms (2.7% of total)

ival-exp: 1.0ms (2.7% of total)

ival-mult: 1.0ms (2.7% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.9491973193155425e+27	1.9707160805412787e+45
0.0ms	0.0	1.0

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch154.0ms (0.7%)

Memory

-30.4MiB live, 219.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
89.0ms	4.877753841293553e+19	1.2414570154152891e+39
56.0ms	-1.1539157158726895e+51	-3.3535653926430964e+48

Samples

115.0ms	243×	1	valid
9.0ms	110×	0	invalid
5.0ms	61×	0	valid
0.0ms	2×	1	invalid

Compiler

Compiled 571 to 380 computations (33.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 112.0ms

ival-exp: 54.0ms (48.2% of total)

ival-log: 32.0ms (28.6% of total)

ival-sub: 7.0ms (6.2% of total)

adjust: 6.0ms (5.4% of total)

ival-div: 5.0ms (4.5% of total)

ival-mult: 4.0ms (3.6% of total)

ival-add: 3.0ms (2.7% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.9491973193155425e+27	1.9707160805412787e+45

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch42.0ms (0.2%)

Memory

7.4MiB live, 83.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
37.0ms	-1.986815893294038e-39	-1.905239563806561e-42

Samples

24.0ms	75×	1	valid
5.0ms	53×	0	valid
4.0ms	13×	1	invalid

Compiler

Compiled 220 to 155 computations (29.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-exp: 8.0ms (30.1% of total)

ival-log: 8.0ms (30.1% of total)

adjust: 4.0ms (15.1% of total)

ival-sub: 2.0ms (7.5% of total)

ival-div: 2.0ms (7.5% of total)

ival-mult: 2.0ms (7.5% of total)

ival-add: 1.0ms (3.8% of total)

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

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

exact: 0.0ms (0% of total)

bsearch30.0ms (0.1%)

Memory

19.9MiB live, 63.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	-4.461623313439437e+89	-1.3507059676687034e+85

Samples

13.0ms	37×	1	valid
8.0ms	91×	0	valid
1.0ms	21×	0	invalid

Compiler

Compiled 404 to 243 computations (39.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-log: 11.0ms (62% of total)

ival-sub: 2.0ms (11.3% of total)

ival-add: 1.0ms (5.6% of total)

ival-div: 1.0ms (5.6% of total)

adjust: 1.0ms (5.6% of total)

ival-exp: 1.0ms (5.6% of total)

ival-mult: 1.0ms (5.6% of total)

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

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

exact: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.0

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch37.0ms (0.2%)

Memory

-0.0MiB live, 79.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
35.0ms	7.02205764645063e-86	8.93731423787089e-82

Samples

25.0ms	72×	1	valid
5.0ms	56×	0	valid

Compiler

Compiled 268 to 171 computations (36.2% saved)

Precisions

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

ival-log: 11.0ms (44% of total)

ival-exp: 6.0ms (24% of total)

ival-sub: 2.0ms (8% of total)

adjust: 2.0ms (8% of total)

ival-div: 2.0ms (8% of total)

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

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

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

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

exact: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.0

Compiler

Compiled 20 to 19 computations (5% saved)

simplify15.0ms (0.1%)

Memory

-3.5MiB live, 36.0MiB allocated

Algorithm

1×	egg-herbie

Rules

38×	`*-commutative_binary64`
31×	`+-commutative_binary64`
30×	`sub-neg_binary64`
24×	`neg-sub0_binary64`
24×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	149	811
1	191	811
2	256	811
3	307	811
4	337	811
5	347	811

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 #s(approx ( (- (exp z) 1) y) (*.f64 z y)))) t)) x)))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) #s(approx (- x (/ (log (+ (- 1 y) ( y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 #s(approx ( (- (exp z) 1) y) (.f64 z y)))) t)) x)) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 2 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (expm1.f64 z) y)) t)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (*.f64 (expm1.f64 z) y))) t))))
(if (<=.f64 z #s(literal -200000000000000000383135017146933747243191025453038402230560702919875864840797751192247229021636064706560 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (expm1.f64 z) y)) t)) #s(approx (- x (/ (log (+ (- 1 y) ( y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 #s(approx ( (- (exp z) 1) y) (*.f64 z y)))) t)) x)))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) #s(approx (- x (/ (log (+ (- 1 y) ( y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (.f64 z y))) (.f64 x t)) x)) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 4999999999999999791559868416 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 (expm1.f64 z) y)) t)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) #s(literal 1 binary64))) t))))
(if (<=.f64 y #s(literal -1150000000000000025434790870138768995526141215244288 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) (if (<=.f64 y #s(literal 1240000000000000070310464654543442411520 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (expm1.f64 z) y)) t)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 4999999999999999791559868416 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 (expm1.f64 z) y)) t)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) #s(literal 1 binary64))) t)))
(if (<=.f64 z #s(literal -5884782876925013/98079714615416886934934209737619787751599303819750539264 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y))))
(if (<=.f64 z #s(literal -70000000000000001024148666147241112167903009150525854149502755101885745497580375113728 binary64)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (/ x (log (+ 1 ( (- (exp z) 1) y)))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 x z) (fma.f64 (neg.f64 y) y y)) (.f64 y y)) #s(literal -1/2 binary64) (/.f64 x y)) z)) t)) x)) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 (/.f64 z t) y))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 z y)) t)) #s(approx (- x (/ (log (+ (- 1 y) ( y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 t y)) x)))
(if (<=.f64 x #s(literal 8311552754175445/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 z t) y))) #s(approx (- x (/ (log (+ (- 1 y) ( y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (fma.f64 (/.f64 z (.f64 x t)) y #s(literal -1 binary64)) (neg.f64 x)))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 z y)) t)) #s(approx (- x (/ (log (+ (- 1 y) ( y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (- (/ (* (* y z) (* y z)) (* t t)) (* x x)) (- (/ (* (neg z) y) t) x)) (*.f64 (neg.f64 y) (/.f64 z t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z)))

Outputs
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 #s(approx ( (- (exp z) 1) y) (*.f64 z y)))) t)) x)))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 #s(approx ( (- (exp z) 1) y) (*.f64 y z)))) t)) x)))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) #s(approx (- x (/ (log (+ (- 1 y) ( y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 #s(approx ( (- (exp z) 1) y) (.f64 z y)))) t)) x)) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 2 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (expm1.f64 z) y)) t)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (*.f64 (expm1.f64 z) y))) t))))
(if (<=.f64 (+.f64 (.f64 y (exp.f64 z)) (-.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)) #s(approx (- x (/ (log (+ (- 1 y) ( y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 #s(approx ( (- (exp z) 1) y) (.f64 y z)))) t)) x)) (if (<=.f64 (+.f64 (.f64 y (exp.f64 z)) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (expm1.f64 z) y)) t)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (*.f64 (expm1.f64 z) y))) t))))
(if (<=.f64 z #s(literal -200000000000000000383135017146933747243191025453038402230560702919875864840797751192247229021636064706560 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (expm1.f64 z) y)) t)) #s(approx (- x (/ (log (+ (- 1 y) ( y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 #s(approx ( (- (exp z) 1) y) (*.f64 z y)))) t)) x)))
(if (<=.f64 z #s(literal -200000000000000000383135017146933747243191025453038402230560702919875864840797751192247229021636064706560 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (expm1.f64 z) y)) t)) #s(approx (- x (/ (log (+ (- 1 y) ( y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (log1p.f64 #s(approx ( (- (exp z) 1) y) (*.f64 y z)))) t)) x)))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) #s(approx (- x (/ (log (+ (- 1 y) ( y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (.f64 z y))) (.f64 x t)) x)) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 4999999999999999791559868416 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 (expm1.f64 z) y)) t)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) #s(literal 1 binary64))) t))))
(if (<=.f64 (+.f64 (.f64 y (exp.f64 z)) (-.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)) #s(approx (- x (/ (log (+ (- 1 y) ( y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (.f64 y z))) (.f64 x t)) x)) (if (<=.f64 (+.f64 (.f64 y (exp.f64 z)) (-.f64 #s(literal 1 binary64) y)) #s(literal 4999999999999999791559868416 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 (expm1.f64 z) y)) t)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) #s(literal 1 binary64))) t))))
(if (<=.f64 y #s(literal -1150000000000000025434790870138768995526141215244288 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) (if (<=.f64 y #s(literal 1240000000000000070310464654543442411520 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (expm1.f64 z) y)) t)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 4999999999999999791559868416 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 (expm1.f64 z) y)) t)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) #s(literal 1 binary64))) t)))
(if (<=.f64 (+.f64 (.f64 y (exp.f64 z)) (-.f64 #s(literal 1 binary64) y)) #s(literal 4999999999999999791559868416 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 (expm1.f64 z) y)) t)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) #s(literal 1 binary64))) t)))
(if (<=.f64 z #s(literal -5884782876925013/98079714615416886934934209737619787751599303819750539264 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y))))
(if (<=.f64 z #s(literal -70000000000000001024148666147241112167903009150525854149502755101885745497580375113728 binary64)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (/ x (log (+ 1 ( (- (exp z) 1) y)))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 x z) (fma.f64 (neg.f64 y) y y)) (.f64 y y)) #s(literal -1/2 binary64) (/.f64 x y)) z)) t)) x)) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 (/.f64 z t) y))))
(if (<=.f64 z #s(literal -70000000000000001024148666147241112167903009150525854149502755101885745497580375113728 binary64)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (/ x (log (+ 1 ( (- (exp z) 1) y)))) (/.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (neg.f64 y) y y) (.f64 x z)) (.f64 y y)) #s(literal -1/2 binary64) (/.f64 x y)) z)) t)) x)) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 (/.f64 z t) y))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 z y)) t)) #s(approx (- x (/ (log (+ (- 1 y) ( y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 t y)) x)))
(if (<=.f64 (+.f64 (.f64 y (exp.f64 z)) (-.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 y z)) t)) #s(approx (- x (/ (log (+ (- 1 y) ( y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 t y)) x)))
(if (<=.f64 x #s(literal 8311552754175445/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 z t) y))) #s(approx (- x (/ (log (+ (- 1 y) ( y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (fma.f64 (/.f64 z (.f64 x t)) y #s(literal -1 binary64)) (neg.f64 x)))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 z y)) t)) #s(approx (- x (/ (log (+ (- 1 y) ( y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)))
(if (<=.f64 (+.f64 (.f64 y (exp.f64 z)) (-.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 y z)) t)) #s(approx (- x (/ (log (+ (- 1 y) ( y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (- (/ (* (* y z) (* y z)) (* t t)) (* x x)) (- (/ (* (neg z) y) t) x)) (*.f64 (neg.f64 y) (/.f64 z t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (- (/ (* (* y z) (* y z)) (* t t)) (* x x)) (- (/ (* (neg z) y) t) x)) (*.f64 (/.f64 (neg.f64 z) t) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 y z) (neg.f64 t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z)))

soundness2.0s (9.3%)

Memory

0.5MiB live, 1 267.6MiB allocated

Rules

7 940×	`lower-fma.f64`
7 940×	`lower-fma.f32`
5 060×	`lower-fma.f64`
5 060×	`lower-fma.f32`
4 541×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	977	18301
1	3127	17296
0	8688	14002
0	45	332
0	79	332
1	346	332
2	2939	332
0	8283	320
0	335	2380
1	1012	2276
2	3164	2227
0	8211	1752
0	631	11848
1	2020	11165
2	6374	11084
0	8223	8817
0	896	14700
1	2893	13986
0	8638	11715
0	12	45
0	19	45
1	73	45
2	593	45
3	7204	45
0	8984	38
0	57	415
0	91	405
1	375	365
2	3054	365
0	9607	354

Stop Event

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

Compiler

Compiled 941 to 461 computations (51% saved)

preprocess152.0ms (0.7%)

Memory: 20.6MiB live, 346.1MiB allocated
Compiler: Compiled 966 to 280 computations (71% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	12	55
0	19	55
1	29	55
2	54	55
3	93	55
4	188	55
5	356	55
6	509	55
7	570	55
8	637	55
9	689	55
10	817	55
11	907	55
12	914	55
13	915	55
0	915	40

Iter	Nodes	Cost
0	12	55
0	19	55
1	29	55
2	54	55
3	93	55
4	188	55
5	356	55
6	509	55
7	570	55
8	637	55
9	689	55
10	817	55
11	907	55
12	914	55
13	915	55
0	915	40

start0.0ms (0%)

analyze383.0ms (1.8%)

sample8.3s (39.2%)

explain378.0ms (1.8%)

preprocess260.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify45.0ms (0.2%)

localize168.0ms (0.8%)

series141.0ms (0.7%)

simplify292.0ms (1.4%)

rewrite334.0ms (1.6%)

eval195.0ms (0.9%)

prune328.0ms (1.6%)

simplify308.0ms (1.5%)

localize489.0ms (2.3%)

series214.0ms (1%)

simplify225.0ms (1.1%)

rewrite276.0ms (1.3%)

eval149.0ms (0.7%)

prune211.0ms (1%)

simplify137.0ms (0.6%)

localize394.0ms (1.9%)

series88.0ms (0.4%)

simplify412.0ms (2%)

rewrite397.0ms (1.9%)

eval261.0ms (1.2%)

prune658.0ms (3.1%)

simplify231.0ms (1.1%)

localize424.0ms (2%)

series84.0ms (0.4%)

simplify285.0ms (1.4%)

rewrite263.0ms (1.2%)

eval204.0ms (1%)

prune377.0ms (1.8%)

regimes263.0ms (1.2%)

regimes122.0ms (0.6%)

regimes332.0ms (1.6%)

regimes107.0ms (0.5%)

regimes118.0ms (0.6%)

regimes115.0ms (0.5%)

regimes203.0ms (1%)

regimes55.0ms (0.3%)

regimes127.0ms (0.6%)

regimes53.0ms (0.3%)

regimes70.0ms (0.3%)

regimes10.0ms (0%)

regimes117.0ms (0.6%)

regimes31.0ms (0.1%)

regimes14.0ms (0.1%)

regimes30.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch51.0ms (0.2%)

bsearch1.0ms (0%)

bsearch154.0ms (0.7%)

bsearch1.0ms (0%)

bsearch42.0ms (0.2%)

bsearch30.0ms (0.1%)

bsearch0.0ms (0%)

bsearch37.0ms (0.2%)

bsearch0.0ms (0%)

simplify15.0ms (0.1%)

soundness2.0s (9.3%)

preprocess152.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	55
0	19	55
1	29	55
2	54	55
3	93	55
4	188	55
5	356	55
6	509	55
7	570	55
8	637	55
9	689	55
10	817	55
11	907	55
12	914	55
13	915	55
0	915	40