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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze404.0ms (2%)

Memory

15.9MiB live, 513.2MiB 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)

sample8.4s (41.5%)

Memory

31.4MiB live, 5 656.2MiB allocated

Samples

2.6s	4 540×	1	valid
1.7s	3 716×	0	valid
1.4s	372×	4	exit
965.0ms	1 244×	5	exit
201.0ms	653×	1	invalid
127.0ms	1 713×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 5.9s

ival-log: 2.1s (34.7% of total)

ival-sub: 1.5s (24.6% of total)

ival-exp: 990.0ms (16.8% of total)

adjust: 502.0ms (8.5% of total)

ival-mult: 422.0ms (7.1% of total)

ival-div: 355.0ms (6% of total)

ival-add: 111.0ms (1.9% of total)

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

exact: 8.0ms (0.1% of total)

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

Bogosity

explain345.0ms (1.7%)

Memory

-6.9MiB live, 519.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
160	53	(1.8988909288617884e-268 -4.462054279636068e-300 -2.690111882210505e-221 -8.929776174177439e+76)	-	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
66	5	(9.362864571928046e-219 -3276438611914.699 -8.968067791120841e-92 -1.7659746818975545e-101)	-	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
20	0	-	-	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
0	0	-	-	`(-.f64 #s(literal 1 binary64) y)`
0	0	-	-	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
0	0	-	-	`t`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`z`
0	0	-	-	`y`
0	0	-	-	`(*.f64 y (exp.f64 z))`
0	0	-	-	`x`
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	212	0
`+.f64`	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`	cancellation	33	0
`/.f64`	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`	u/n	6	0
↳	`(exp.f64 z)`	underflow	72
↳	`(*.f64 y (exp.f64 z))`	underflow	72
↳	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`	underflow	53
`log.f64`	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`	oflow-rescue	1	0
↳	`(exp.f64 z)`	overflow	1
↳	`(*.f64 y (exp.f64 z))`	overflow	1
↳	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`	overflow	1

Confusion

	Predicted +	Predicted -
+	91	7
-	134	24

Precision

0.40444444444444444

Recall

0.9285714285714286

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	91	0	7
-	134	0	24

Precision?

0.40444444444444444

Recall?

0.9285714285714286

Freqs

test

number	freq
0	31
1	198
2	27

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

122.0ms	134×	2	valid
104.0ms	320×	1	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: 199.0ms

ival-exp: 78.0ms (39.2% of total)

ival-log: 65.0ms (32.7% of total)

adjust: 16.0ms (8.1% of total)

ival-div: 12.0ms (6% of total)

ival-mult: 11.0ms (5.5% of total)

ival-sub: 10.0ms (5% of total)

ival-add: 7.0ms (3.5% of total)

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

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

exact: 0.0ms (0% of total)

preprocess260.0ms (1.3%)

Memory

13.4MiB live, 89.9MiB allocated

Algorithm

1×	egg-herbie

Rules

868×	`sub-neg`
642×	`unsub-neg`
630×	`times-frac`
620×	`distribute-lft-neg-in`
588×	`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

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.3%	(-.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)

simplify48.0ms (0.2%)

Memory

4.4MiB live, 41.0MiB 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

544×	`lower-fma.f64`
544×	`lower-fma.f32`
272×	`lower-*.f32`
270×	`lower-*.f64`
176×	`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

localize152.0ms (0.7%)

Memory

-3.5MiB live, 164.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(*.f64 y (exp.f64 z))
accuracy	4.708232701807165	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
accuracy	15.67456257292486	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
accuracy	36.39127724009743	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))

Samples

89.0ms	160×	1	valid
47.0ms	67×	2	valid
3.0ms	29×	0	valid

Compiler

Compiled 57 to 14 computations (75.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 120.0ms

ival-log: 61.0ms (51% of total)

ival-exp: 16.0ms (13.4% of total)

ival-mult: 14.0ms (11.7% of total)

ival-add: 10.0ms (8.4% of total)

adjust: 8.0ms (6.7% of total)

ival-sub: 5.0ms (4.2% of total)

ival-div: 4.0ms (3.3% of total)

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

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

exact: 0.0ms (0% of total)

series152.0ms (0.8%)

Memory

-5.8MiB live, 185.7MiB 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
42.0ms	z	@	-inf	(log (+ (- 1 y) (* y (exp z))))
37.0ms	t	@	0	(/ (log (+ (- 1 y) (* y (exp z)))) t)
32.0ms	z	@	inf	(log (+ (- 1 y) (* y (exp z))))
8.0ms	t	@	inf	(/ (log (+ (- 1 y) (* y (exp z)))) t)
4.0ms	x	@	0	(- x (/ (log (+ (- 1 y) (* y (exp z)))) t))

simplify220.0ms (1.1%)

Memory

27.0MiB live, 264.1MiB allocated

Algorithm

1×	egg-herbie

Rules

15 880×	`lower-fma.f64`
15 880×	`lower-fma.f32`
6 656×	`lower-+.f64`
6 656×	`lower-+.f32`
5 266×	`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) (*.f64 z y) y) z #s(literal 1 binary64))
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))))
(fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z 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 (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)) (.f64 (.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 4 binary64)) y) #s(literal -1/4 binary64)) y)) 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 (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 #s(literal -1/2 binary64) (.f64 (.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y)) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 (.f64 y y) y) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (expm1.f64 z) y))))
(+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y))))
(-.f64 (log1p.f64 (neg.f64 (exp.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 (log1p.f64 (neg.f64 (exp.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 (log1p.f64 (neg.f64 (exp.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 (log1p.f64 (neg.f64 (exp.f64 z))) (/.f64 (+.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)))) (/.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 (neg.f64 (expm1.f64 z)) #s(literal 3 binary64)) (*.f64 y 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) (-.f64 y (*.f64 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 (-.f64 y (*.f64 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 (.f64 y y) (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 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 (-.f64 y (*.f64 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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(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
x
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
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x
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
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(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
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(+ x (* y (- (/ 1 t) (/ (exp z) t))))
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x
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(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
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(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
x
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
x
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(/ (* y (- (exp z) 1)) t)
(*.f64 (/.f64 (expm1.f64 z) t) y)
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t)))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) (/.f64 (expm1.f64 z) t)) y)
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t)))
(.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) t) #s(literal 1/3 binary64)) y (*.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) #s(literal -1/2 binary64))) y (/.f64 (expm1.f64 z) t)) y)
(* 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)))
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(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)
(/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t)
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(+.f64 (/.f64 #s(literal 1 binary64) (.f64 t (.f64 (expm1.f64 z) y))) (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) 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)))))
(+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 t (.f64 (.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y))) (/.f64 #s(literal 1 binary64) (.f64 t (*.f64 (expm1.f64 z) y)))) (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t))
(- (+ (* -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))))))
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 t (.f64 (.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y))) (/.f64 #s(literal 1 binary64) (.f64 t (.f64 (expm1.f64 z) y)))) (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t)) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 t (pow.f64 (expm1.f64 z) #s(literal 3 binary64))) (.f64 (*.f64 y y) y))))
(/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)
(/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (neg.f64 (log.f64 (neg.f64 y)))) t)
(- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))
(+.f64 (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (neg.f64 (log.f64 (neg.f64 y)))) t) (/.f64 #s(literal 1 binary64) (.f64 t (.f64 (expm1.f64 z) y))))
(+ (* -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)))
(-.f64 (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (neg.f64 (log.f64 (neg.f64 y)))) t) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 t y) (pow.f64 (neg.f64 (expm1.f64 z)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 t (neg.f64 (expm1.f64 z))))) y))
(+ (* -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)))
(-.f64 (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (neg.f64 (log.f64 (neg.f64 y)))) t) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 t y) (pow.f64 (neg.f64 (expm1.f64 z)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 t (neg.f64 (expm1.f64 z))))) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 (.f64 t y) y) (pow.f64 (neg.f64 (expm1.f64 z)) #s(literal 3 binary64))))) y))
(/ (* y z) t)
(*.f64 (/.f64 y t) z)
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))
(.f64 (fma.f64 (.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z)
(* 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)))
(.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (/.f64 z t)) #s(literal 1/6 binary64) (.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64))) z (/.f64 y t)) z)
(* 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)))
(.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) t) #s(literal 1/6 binary64) (.f64 (.f64 (fma.f64 (.f64 y y) (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) y)) (/.f64 z t)) #s(literal 1/24 binary64))) z (.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64))) z (/.f64 y t)) z)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(* y (exp z))
(*.f64 (exp.f64 z) y)
(* y (exp z))
(*.f64 (exp.f64 z) y)
(* y (exp z))
(*.f64 (exp.f64 z) y)
(* y (exp z))
(*.f64 (exp.f64 z) y)
(* y (exp z))
(*.f64 (exp.f64 z) y)
(* y (exp z))
(*.f64 (exp.f64 z) y)
(* y (exp z))
(*.f64 (exp.f64 z) y)
(* y (exp z))
(*.f64 (exp.f64 z) y)
(* y (exp z))
(*.f64 (exp.f64 z) y)
(* y (exp z))
(*.f64 (exp.f64 z) y)
(* y (exp z))
(*.f64 (exp.f64 z) y)
(* y (exp z))
(*.f64 (exp.f64 z) y)
y
(+ y (* y z))
(fma.f64 z y y)
(+ y (* z (+ y (* 1/2 (* y z)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z y)
(+ y (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))))
(fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z y)
(* y (exp z))
(*.f64 (exp.f64 z) y)
(* y (exp z))
(*.f64 (exp.f64 z) y)
(* y (exp z))
(*.f64 (exp.f64 z) y)
(* y (exp z))
(*.f64 (exp.f64 z) y)
(* y (exp z))
(*.f64 (exp.f64 z) y)
(* y (exp z))
(*.f64 (exp.f64 z) y)
(* y (exp z))
(*.f64 (exp.f64 z) y)
(* y (exp z))
(*.f64 (exp.f64 z) y)

rewrite670.0ms (3.3%)

Memory

7.2MiB live, 284.7MiB allocated

Rules

6 580×	`lower-fma.f64`
6 580×	`lower-fma.f32`
4 130×	`lower-*.f32`
4 128×	`lower-*.f64`
3 042×	`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 (neg.f64 (.f64 (exp.f64 (+.f64 z z)) 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 (neg.f64 (exp.f64 (.f64 z #s(literal 3 binary64)))) (.f64 (.f64 y y) y)))) (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 (exp.f64 (.f64 z #s(literal 3 binary64))) (.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))) (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)))))
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(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 y) (exp.f64 z) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 1 binary64))))
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(*.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))
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(neg.f64 (/.f64 (+.f64 (neg.f64 (.f64 (.f64 x x) x)) (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #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))))
(neg.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 2 binary64))) (neg.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x))))
(neg.f64 (/.f64 (-.f64 (.f64 (.f64 x x) x) (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) 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 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #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 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #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 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #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) (-.f64 (.f64 x x) (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #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 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #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 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #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 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #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 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #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 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #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 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #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 (neg.f64 (.f64 (exp.f64 (+.f64 z z)) 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 (exp.f64 (.f64 z #s(literal 3 binary64))) (.f64 y y)) y (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) y)))) t) (/.f64 (log.f64 (fma.f64 (.f64 (exp.f64 (+.f64 z z)) y) y (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))))) 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))

eval141.0ms (0.7%)

Memory: -16.1MiB live, 96.7MiB allocated
Compiler: Compiled 14 180 to 1 576 computations (88.9% saved)

prune294.0ms (1.5%)

Memory

18.3MiB live, 176.2MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	421	15	436
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	422	15	437

Accuracy

100.0%

Counts

437 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	84.4%	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x)
	66.4%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)))) t))
	73.2%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
	30.8%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))
	72.8%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
	57.1%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.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 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t))
	84.6%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.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)) t))
	63.1%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t))
	84.4%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (expm1.f64 z) #s(literal 1 binary64)) (expm1.f64 z)) y)) t))
▶	85.8%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
	75.8%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
▶	85.9%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
▶	74.5%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
▶	62.8%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 (.f64 (/.f64 (.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) z x))
▶	27.4%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))

Compiler

Compiled 526 to 322 computations (38.8% saved)

simplify152.0ms (0.8%)

Memory

-6.1MiB live, 210.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (expm1.f64 z) y)
cost-diff	0	(log1p.f64 (*.f64 (expm1.f64 z) y))
cost-diff	0	(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))
cost-diff	0	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 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	(fma.f64 (-.f64 (.f64 (/.f64 (.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) z x)
cost-diff	0	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 (.f64 (/.f64 (.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) z x))
cost-diff	128	(.f64 (/.f64 (.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64))
cost-diff	832	(-.f64 (.f64 (/.f64 (.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t))
cost-diff	0	(/.f64 y t)
cost-diff	0	(*.f64 (/.f64 y t) z)
cost-diff	0	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))
cost-diff	0	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
cost-diff	0	(/.f64 (expm1.f64 z) t)
cost-diff	0	(*.f64 (/.f64 (expm1.f64 z) t) y)
cost-diff	0	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))
cost-diff	0	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))

Rules

9 200×	`lower-fma.f32`
9 198×	`lower-fma.f64`
4 234×	`lower-*.f32`
4 222×	`lower-*.f64`
2 388×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	314
0	60	314
1	107	314
2	197	278
3	420	278
4	1101	272
5	3522	272
6	7053	272
0	8459	265

Stop Event

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

Calls

Call 1

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

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

localize293.0ms (1.4%)

Memory

9.0MiB live, 522.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(*.f64 (expm1.f64 z) y)
accuracy	0.26156004927955206	(log1p.f64 (*.f64 (expm1.f64 z) y))
accuracy	4.708232701807165	(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))
accuracy	46.11704420015087	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
accuracy	0	(expm1.f64 z)
accuracy	0.00390625	(*.f64 (expm1.f64 z) y)
accuracy	4.708232701807165	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)
accuracy	11.250707708395902	#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))
accuracy	4.313734322663339	(.f64 (-.f64 y (.f64 y y)) z)
accuracy	4.511689851622882	(-.f64 (.f64 (/.f64 (.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t))
accuracy	6.3859942616210565	(/.f64 (.f64 (-.f64 y (.f64 y y)) z) t)
accuracy	18.389582587692473	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 (.f64 (/.f64 (.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) z x))
accuracy	0	(/.f64 y t)
accuracy	0	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
accuracy	4.1240002111661305	(*.f64 (/.f64 y t) z)
accuracy	21.823969563608	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))
accuracy	0	(expm1.f64 z)
accuracy	0.0078125	(/.f64 (expm1.f64 z) t)
accuracy	3.1400107973636353	(*.f64 (/.f64 (expm1.f64 z) t) y)
accuracy	11.168059124262701	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))

Samples

157.0ms	160×	1	valid
66.0ms	67×	2	valid
7.0ms	29×	0	valid

Compiler

Compiled 270 to 32 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 178.0ms

ival-expm1: 36.0ms (20.2% of total)

adjust: 35.0ms (19.6% of total)

ival-log: 34.0ms (19.1% of total)

ival-mult: 19.0ms (10.7% of total)

ival-exp: 18.0ms (10.1% of total)

ival-div: 16.0ms (9% of total)

ival-sub: 10.0ms (5.6% of total)

ival-add: 5.0ms (2.8% of total)

ival-log1p: 4.0ms (2.2% of total)

ival-neg: 1.0ms (0.6% of total)

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

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

exact: 0.0ms (0% of total)

series179.0ms (0.9%)

Memory

-35.2MiB live, 208.4MiB allocated

Counts

22 → 768

Calls

Call 1

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

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

Calls

192 calls:

Time	Variable		Point	Expression
32.0ms	t	@	0	(/ (log (+ 1 (* (- (exp z) 1) y))) (neg t))
20.0ms	z	@	-inf	(/ (- (exp z) 1) t)
19.0ms	z	@	-inf	(/ (log (+ 1 (* (- (exp z) 1) y))) (neg t))
17.0ms	z	@	inf	(/ (log (+ 1 (* (- (exp z) 1) y))) (neg t))
16.0ms	z	@	-inf	(+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x)

simplify224.0ms (1.1%)

Memory

26.1MiB live, 222.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 700×	`lower-fma.f64`
7 700×	`lower-fma.f32`
5 284×	`lower-*.f64`
5 284×	`lower-*.f32`
2 892×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	606	11540
1	1971	11130
2	5886	10912
0	8151	9008

Stop Event

1×	iter limit
1×	node limit

Counts

768 → 731

Calls

Call 1

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

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

rewrite219.0ms (1.1%)

Memory

3.3MiB live, 317.4MiB allocated

Rules

4 820×	`lower-/.f32`
4 810×	`lower-/.f64`
4 478×	`lower-*.f32`
4 466×	`lower-*.f64`
2 966×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	273
0	60	273
1	258	267
2	2142	267
0	8690	258

Stop Event

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

Counts

22 → 552

Calls

Call 1

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

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

eval211.0ms (1%)

Memory: 10.8MiB live, 383.5MiB allocated
Compiler: Compiled 29 866 to 2 668 computations (91.1% saved)

prune242.0ms (1.2%)

Memory

10.3MiB live, 385.6MiB allocated

Pruning

31 alts after pruning (28 fresh and 3 done)

	Pruned	Kept	Total
New	1 424	24	1 448
Fresh	6	4	10
Picked	2	3	5
Done	0	0	0
Total	1 432	31	1 463

Accuracy

100.0%

Counts

1 463 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.2%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
	30.8%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))
▶	72.8%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
	57.1%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.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 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t))
✓	85.8%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
	70.8%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 z y) #s(literal 1/2 binary64) y) z))) t))
	85.8%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)))))
	75.2%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y))))
▶	86.0%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y (/.f64 t (expm1.f64 z)))))
▶	70.2%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 #s(approx (- (exp z) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) t) y)))
✓	74.5%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
	74.5%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (.f64 (/.f64 #s(literal 1 binary64) t) y) z)))
	75.8%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) t))))
	75.2%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
	75.1%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) t) z))))
	44.6%	(.f64 (.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 y t) z)) x) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (/.f64 y t) z)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 (/.f64 y t) z)) x)))
	29.3%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (fma.f64 (neg.f64 y) (/.f64 t (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) z)) (.f64 t #s(literal -1/2 binary64))) (.f64 t (/.f64 t (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) z)))) z x))
▶	69.5%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (*.f64 (fma.f64 (/.f64 z t) #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) t)) y)) z x))
	63.4%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 (.f64 (/.f64 (*.f64 z y) t) y) #s(literal 1/2 binary64))) z x))
✓	27.4%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
	15.7%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (.f64 #s(approx (- (exp z) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) (neg.f64 t)))
	16.6%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (*.f64 z y))) (neg.f64 t)))
	10.0%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 (fma.f64 (.f64 (-.f64 y (*.f64 y y)) z) #s(literal 1/2 binary64) y) z)) (neg.f64 t)))
	18.7%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
▶	12.8%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 z y)) (neg.f64 t)))
	27.3%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 t) (log1p.f64 (*.f64 (expm1.f64 z) y)))))
	27.4%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (.f64 (expm1.f64 z) y))))
	9.0%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (.f64 (/.f64 (-.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) z) #s(literal -1/2 binary64)) y) t) z)))
	69.6%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (fma.f64 (.f64 z (/.f64 (.f64 z y) t)) #s(literal 1/2 binary64) (*.f64 (fma.f64 (/.f64 z t) #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) t)) z)) y x)))
	59.3%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) z) #s(literal -1/2 binary64)) y) z) (*.f64 x t)) x x)))
	3.0%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (.f64 (.f64 y (/.f64 (.f64 (.f64 z z) y) t)) #s(literal 1/2 binary64))))

Compiler

Compiled 1 050 to 612 computations (41.7% saved)

simplify128.0ms (0.6%)

Memory

-15.8MiB live, 133.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))
cost-diff	0	(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64)))
cost-diff	0	(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)
cost-diff	0	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
cost-diff	0	(fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (*.f64 (fma.f64 (/.f64 z t) #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) t)) y)) z x)
cost-diff	0	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (*.f64 (fma.f64 (/.f64 z t) #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) t)) y)) z x))
cost-diff	320	(*.f64 (fma.f64 (/.f64 z t) #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) t)) y)
cost-diff	384	(fma.f64 (/.f64 z t) #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) t))
cost-diff	0	(/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) t)
cost-diff	0	(.f64 (/.f64 #s(approx (- (exp z) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) t) y)
cost-diff	0	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 #s(approx (- (exp z) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) t) y))
cost-diff	0	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 #s(approx (- (exp z) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) t) y)))
cost-diff	0	(*.f64 z y)
cost-diff	0	#s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 z y))
cost-diff	0	(/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 z y)) (neg.f64 t))
cost-diff	0	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 z y)) (neg.f64 t)))
cost-diff	0	(/.f64 t (expm1.f64 z))
cost-diff	0	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y (/.f64 t (expm1.f64 z))))
cost-diff	0	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y (/.f64 t (expm1.f64 z)))))
cost-diff	384	(/.f64 y (/.f64 t (expm1.f64 z)))

Rules

7 742×	`lower-fma.f32`
7 736×	`lower-fma.f64`
3 520×	`lower-*.f32`
3 512×	`lower-*.f64`
1 732×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	396
0	78	396
1	128	396
2	232	376
3	427	376
4	1004	366
5	2737	366
6	4785	366
7	6540	366
0	8069	334

Stop Event

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

Calls

Call 1

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

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

localize324.0ms (1.6%)

Memory

27.2MiB live, 470.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
accuracy	4.708232701807165	(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)
accuracy	11.31101916259986	#s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))
accuracy	36.39127724009743	(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64)))
accuracy	2.6707461275850033	(fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (*.f64 (fma.f64 (/.f64 z t) #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) t)) y)) z x)
accuracy	2.9725386048030358	(*.f64 (fma.f64 (/.f64 z t) #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) t)) y)
accuracy	8.090971029312344	#s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (*.f64 (fma.f64 (/.f64 z t) #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) t)) y))
accuracy	18.389582587692473	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (*.f64 (fma.f64 (/.f64 z t) #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) t)) y)) z x))
accuracy	0.01171875	(*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)
accuracy	3.1400107973636353	(.f64 (/.f64 #s(approx (- (exp z) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) t) y)
accuracy	11.168059124262701	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 #s(approx (- (exp z) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) t) y))
accuracy	18.447600093930532	#s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z))
accuracy	0	(neg.f64 t)
accuracy	4.708232701807165	(/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 z y)) (neg.f64 t))
accuracy	23.054809796845568	#s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 z y))
accuracy	46.11704420015087	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 z y)) (neg.f64 t)))
accuracy	0	(expm1.f64 z)
accuracy	0.01171875	(/.f64 t (expm1.f64 z))
accuracy	3.4421422314549694	(/.f64 y (/.f64 t (expm1.f64 z)))
accuracy	11.168059124262701	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y (/.f64 t (expm1.f64 z))))

Samples

160.0ms	160×	1	valid
81.0ms	67×	2	valid
8.0ms	29×	0	valid

Compiler

Compiled 273 to 44 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 197.0ms

ival-mult: 41.0ms (20.9% of total)

ival-log: 33.0ms (16.8% of total)

adjust: 28.0ms (14.2% of total)

ival-div: 26.0ms (13.2% of total)

ival-exp: 16.0ms (8.1% of total)

ival-expm1: 15.0ms (7.6% of total)

ival-log1p: 14.0ms (7.1% of total)

ival-sub: 12.0ms (6.1% of total)

ival-add: 11.0ms (5.6% of total)

exact: 1.0ms (0.5% of total)

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

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

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

series101.0ms (0.5%)

Memory

-13.6MiB live, 67.4MiB allocated

Counts

25 → 792

Calls

Call 1

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

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

Calls

198 calls:

Time	Variable		Point	Expression
8.0ms	z	@	-inf	(- x (/ (log (+ (- 1 y) (* y (exp z)))) t))
1.0ms	y	@	0	(* (+ (* (/ z t) -1/2) (/ -1 t)) y)
1.0ms	t	@	inf	(+ (* (/ z t) -1/2) (/ -1 t))
1.0ms	t	@	0	(+ (* (/ z t) -1/2) (/ -1 t))
0.0ms	z	@	inf	(/ t (- (exp z) 1))

simplify363.0ms (1.8%)

Memory

2.4MiB live, 192.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 196×	`lower-fma.f64`
8 196×	`lower-fma.f32`
5 310×	`lower-*.f64`
5 310×	`lower-*.f32`
2 946×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	648	11594
1	2068	11148
2	6369	10977
0	8185	8869

Stop Event

1×	iter limit
1×	node limit

Counts

792 → 753

Calls

Call 1

Inputs
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y z) t)
(* z (+ (* 1/2 (/ (* y z) t)) (/ y t)))
(* z (+ (* z (+ (* 1/6 (/ (* y z) t)) (* 1/2 (/ y t)))) (/ y t)))
(* z (+ (* z (+ (* 1/2 (/ y t)) (* z (+ (* 1/24 (/ (* y z) t)) (* 1/6 (/ y t)))))) (/ y t)))
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* 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)))
(/ (* 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)
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(* -1 (* z (+ (* 1/2 (/ (- y (pow y 2)) t)) (/ y (* t z)))))
(* -1 (* z (+ (* 1/2 (/ (- y (pow y 2)) t)) (/ y (* t z)))))
(/ (- (* -1/2 (* z (- y (pow y 2)))) y) t)
(/ (- (* -1/2 (* z (- y (pow y 2)))) y) t)
(/ (- (* -1/2 (* z (- y (pow y 2)))) y) t)
(/ (- (* -1/2 (* z (- y (pow y 2)))) y) t)
(/ (- (* -1/2 (* z (- y (pow y 2)))) y) t)
(/ (- (* -1/2 (* z (- y (pow y 2)))) y) t)
(/ (- (* -1/2 (* z (- y (pow y 2)))) y) t)
(/ (- (* -1/2 (* z (- y (pow y 2)))) y) t)
(* -1 (/ (- (* 1/2 (* z (- y (pow y 2)))) (* -1 y)) t))
(* -1 (/ (- (* 1/2 (* z (- y (pow y 2)))) (* -1 y)) t))
(* -1 (/ (- (* 1/2 (* z (- y (pow y 2)))) (* -1 y)) t))
(* -1 (/ (- (* 1/2 (* z (- y (pow y 2)))) (* -1 y)) t))

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

rewrite335.0ms (1.7%)

Memory

9.7MiB live, 201.6MiB allocated

Rules

5 336×	`lower-*.f32`
5 328×	`lower-*.f64`
4 716×	`lower-/.f32`
4 702×	`lower-/.f64`
3 686×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	364
0	78	364
1	323	358
2	2665	358
0	9250	342

Stop Event

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

Counts

25 → 334

Calls

Call 1

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

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

eval202.0ms (1%)

Memory: -17.4MiB live, 274.2MiB allocated
Compiler: Compiled 19 506 to 1 594 computations (91.8% saved)

prune258.0ms (1.3%)

Memory

8.6MiB live, 323.7MiB allocated

Pruning

36 alts after pruning (30 fresh and 6 done)

	Pruned	Kept	Total
New	1 074	13	1 087
Fresh	6	17	23
Picked	2	3	5
Done	0	3	3
Total	1 082	36	1 118

Accuracy

100.0%

Counts

1 118 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.2%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
	30.8%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))
✓	72.8%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
	57.1%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.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 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t))
✓	85.8%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
▶	85.8%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)))))
	75.2%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y))))
	81.7%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y #s(approx (/ t (- (exp z) 1)) (/.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) t (.f64 #s(literal 1/24 binary64) t)) z (.f64 #s(literal -1/12 binary64) t))) z (*.f64 #s(literal -1/2 binary64) t)) z t) z)))))
	81.8%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y #s(approx (/ t (- (exp z) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) t (.f64 #s(literal 1/12 binary64) (.f64 t z))) z t) z)))))
	81.6%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y #s(approx (/ t (- (exp z) 1)) (/.f64 (fma.f64 (*.f64 t z) #s(literal -1/2 binary64) t) z)))))
	75.2%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y #s(approx (/ t (- (exp z) 1)) (/.f64 t z)))))
✓	70.2%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 #s(approx (- (exp z) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) t) y)))
	60.2%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 #s(approx (- (exp z) 1) #s(approx ( (+ (* 1/2 z) 1) z) (.f64 (.f64 z z) #s(literal 1/2 binary64)))) t) y)))
✓	74.5%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
	75.2%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
	75.1%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) t) z))))
▶	44.6%	(.f64 (.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 y t) z)) x) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (/.f64 y t) z)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 (/.f64 y t) z)) x)))
	57.7%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) z) t (neg.f64 t)) (*.f64 t t)) y)) z x))
	63.4%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 (.f64 (/.f64 (*.f64 z y) t) y) #s(literal 1/2 binary64))) z x))
	69.5%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) t)) y)) z x))
	74.4%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (/.f64 #s(literal -1 binary64) t)) y)) z x))
▶	60.9%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (*.f64 (/.f64 z t) #s(literal -1/2 binary64))) y)) z x))
✓	27.4%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
	15.7%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (.f64 #s(approx (- (exp z) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) (neg.f64 t)))
	16.6%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (*.f64 z y))) (neg.f64 t)))
	10.0%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 (fma.f64 (.f64 (-.f64 y (*.f64 y y)) z) #s(literal 1/2 binary64) y) z)) (neg.f64 t)))
	18.7%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
▶	7.8%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 z y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 t t)) (+.f64 #s(literal 0 binary64) t))))
✓	12.8%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 z y)) (neg.f64 t)))
	27.3%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 t) (log1p.f64 (*.f64 (expm1.f64 z) y)))))
	27.4%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (.f64 (expm1.f64 z) y))))
	12.8%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ 1 ( (- (exp z) 1) y))) (*.f64 z y))))
▶	11.1%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t))))
	69.6%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (fma.f64 (.f64 z (/.f64 (.f64 z y) t)) #s(literal 1/2 binary64) (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) t) z)) y x)))
	59.3%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) z) #s(literal -1/2 binary64)) y) z) (*.f64 x t)) x x)))
	3.0%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (.f64 (.f64 y (/.f64 (.f64 (.f64 z z) y) t)) #s(literal 1/2 binary64))))

Compiler

Compiled 1 177 to 682 computations (42.1% saved)

simplify158.0ms (0.8%)

Memory

-12.3MiB live, 155.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))
cost-diff	0	(+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)) x)
cost-diff	0	(.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (/.f64 y t) z)) x) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 (/.f64 y t) z))))
cost-diff	3776	(.f64 (.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 y t) z)) x) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (/.f64 y t) z)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 (/.f64 y t) z)) x)))
cost-diff	0	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 z y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 t t)) (+.f64 #s(literal 0 binary64) t))))
cost-diff	64	(-.f64 #s(literal 0 binary64) (*.f64 t t))
cost-diff	192	(+.f64 #s(literal 0 binary64) t)
cost-diff	1024	(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))
cost-diff	0	(.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (*.f64 (/.f64 z t) #s(literal -1/2 binary64))) y)
cost-diff	0	#s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (*.f64 (/.f64 z t) #s(literal -1/2 binary64))) y))
cost-diff	0	(fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (*.f64 (/.f64 z t) #s(literal -1/2 binary64))) y)) z x)
cost-diff	0	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (*.f64 (/.f64 z t) #s(literal -1/2 binary64))) y)) z x))
cost-diff	0	(neg.f64 z)
cost-diff	0	(*.f64 (neg.f64 z) (/.f64 y t))
cost-diff	0	#s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t)))
cost-diff	0	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t))))
cost-diff	0	#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))
cost-diff	0	(/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)))
cost-diff	0	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))))

Rules

6 118×	`lower-fma.f32`
6 116×	`lower-fma.f64`
4 118×	`lower-*.f32`
4 100×	`lower-*.f64`
1 328×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	588
0	90	618
1	165	614
2	334	490
3	775	490
4	2275	484
5	5603	484
0	8106	438

Stop Event

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

Calls

Call 1

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

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

localize342.0ms (1.7%)

Memory

38.5MiB live, 764.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.08984375	(/.f64 #s(literal 1 binary64) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)) x))
accuracy	4.1240002111661305	(*.f64 (/.f64 y t) z)
accuracy	21.823969563608	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))
accuracy	25.12627453825373	(.f64 (.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 y t) z)) x) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (/.f64 y t) z)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 (/.f64 y t) z)) x)))
accuracy	4.708232701807165	(/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 z y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
accuracy	23.054809796845568	#s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 z y))
accuracy	28.61791015303602	(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))
accuracy	46.11704420015087	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 z y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 t t)) (+.f64 #s(literal 0 binary64) t))))
accuracy	2.9725386048030358	(.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (*.f64 (/.f64 z t) #s(literal -1/2 binary64))) y)
accuracy	8.090971029312344	#s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (*.f64 (/.f64 z t) #s(literal -1/2 binary64))) y))
accuracy	18.389582587692473	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (*.f64 (/.f64 z t) #s(literal -1/2 binary64))) y)) z x))
accuracy	44.30886444871668	#s(approx (+ (* (/ z t) -1/2) (/ -1 t)) (*.f64 (/.f64 z t) #s(literal -1/2 binary64)))
accuracy	0	(neg.f64 z)
accuracy	4.1240002111661305	(*.f64 (neg.f64 z) (/.f64 y t))
accuracy	21.823969563608	#s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t)))
accuracy	46.11704420015087	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t))))
accuracy	0.00390625	(*.f64 (expm1.f64 z) y)
accuracy	0.6775122786694211	(/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))))
accuracy	4.592758188527455	(/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)))
accuracy	11.250707708395902	#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))

Samples

256.0ms	226×	1	valid
13.0ms	29×	0	valid
1.0ms	1×	2	valid

Compiler

Compiled 387 to 52 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 226.0ms

ival-log: 56.0ms (24.7% of total)

ival-mult: 44.0ms (19.4% of total)

ival-div: 34.0ms (15% of total)

ival-add: 20.0ms (8.8% of total)

ival-exp: 19.0ms (8.4% of total)

adjust: 18.0ms (7.9% of total)

ival-sub: 17.0ms (7.5% of total)

ival-neg: 8.0ms (3.5% of total)

ival-expm1: 5.0ms (2.2% of total)

ival-log1p: 3.0ms (1.3% of total)

exact: 1.0ms (0.4% of total)

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

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

series100.0ms (0.5%)

Memory

25.2MiB live, 250.2MiB allocated

Counts

26 → 900

Calls

Call 1

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

Calls

225 calls:

Time	Variable		Point	Expression
8.0ms	y	@	-inf	(/ 1 (+ (/ (log (+ (- 1 y) (* y (exp z)))) t) x))
4.0ms	z	@	0	(/ t (log (+ (- 1 y) (* y (exp z)))))
3.0ms	y	@	-inf	(* (+ (/ (log (+ (- 1 y) (* y (exp z)))) t) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)))
2.0ms	y	@	0	(* (+ (/ (log (+ (- 1 y) (* y (exp z)))) t) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)))
2.0ms	y	@	inf	(/ 1 (+ (/ (log (+ (- 1 y) (* y (exp z)))) t) x))

simplify240.0ms (1.2%)

Memory

-37.7MiB live, 342.0MiB allocated

Algorithm

1×	egg-herbie

Rules

6 678×	`lower-*.f64`
6 678×	`lower-*.f32`
6 522×	`lower-fma.f64`
6 522×	`lower-fma.f32`
4 968×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1245	17540
1	3991	16685
0	8524	13894

Stop Event

1×	iter limit
1×	node limit

Counts

900 → 846

Calls

Call 1

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

rewrite215.0ms (1.1%)

Memory

29.7MiB live, 262.9MiB allocated

Rules

5 576×	`lower-fma.f32`
5 574×	`lower-fma.f64`
5 376×	`lower-*.f32`
5 358×	`lower-*.f64`
3 870×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	525
0	90	511
1	380	433
2	3262	433
0	9145	406

Stop Event

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

Counts

26 → 486

Calls

Call 1

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

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

eval310.0ms (1.5%)

Memory: -10.2MiB live, 434.9MiB allocated
Compiler: Compiled 41 019 to 2 704 computations (93.4% saved)

prune351.0ms (1.7%)

Memory

-21.8MiB live, 464.3MiB allocated

Pruning

47 alts after pruning (39 fresh and 8 done)

	Pruned	Kept	Total
New	1 556	18	1 574
Fresh	4	21	25
Picked	2	3	5
Done	1	5	6
Total	1 563	47	1 610

Accuracy

100.0%

Counts

1 610 → 47

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.2%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
	30.8%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))
✓	72.8%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
	57.1%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.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 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t))
✓	85.8%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
✓	85.8%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)))))
	85.8%	(-.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (log (+ (- 1 y) ( y (exp z)))) (*.f64 (expm1.f64 z) y))) t)))
	51.7%	(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) z) t) (.f64 y y)) #s(literal -1/2 binary64) (/.f64 t y)) z))))
	86.8%	(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y))))
	28.4%	(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (+.f64 (fma.f64 #s(literal -3 binary64) (.f64 y y) (.f64 (.f64 (.f64 y y) y) #s(literal 2 binary64))) y) t) (.f64 y y)) #s(literal 1/6 binary64) (.f64 (/.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) (-.f64 y (.f64 y y))) t) (.f64 (.f64 y y) y)) #s(literal -1/4 binary64))) z (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 y (.f64 y y)) t)) (*.f64 y y)))) z (/.f64 t y)) z))))
	75.2%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y))))
	81.7%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y #s(approx (/ t (- (exp z) 1)) (/.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) t (.f64 #s(literal 1/24 binary64) t)) z (.f64 #s(literal -1/12 binary64) t))) z (*.f64 #s(literal -1/2 binary64) t)) z t) z)))))
	81.8%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y #s(approx (/ t (- (exp z) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) t (.f64 #s(literal 1/12 binary64) (.f64 t z))) z t) z)))))
	81.6%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y #s(approx (/ t (- (exp z) 1)) (/.f64 (fma.f64 (*.f64 t z) #s(literal -1/2 binary64) t) z)))))
	75.2%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y #s(approx (/ t (- (exp z) 1)) (/.f64 t z)))))
	60.2%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 #s(approx (- (exp z) 1) #s(approx ( (+ (* 1/2 z) 1) z) (.f64 (.f64 z z) #s(literal 1/2 binary64)))) t) y)))
✓	74.5%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
	75.2%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
	44.2%	(.f64 (.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 y t) z)) x) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (/.f64 y t) z)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (/ (log (+ (- 1 y) ( y (exp z)))) t) x) (fma.f64 y (/.f64 z t) x))))
	38.4%	(.f64 #s(approx ( (+ (/ (log (+ (- 1 y) (* y (exp z)))) t) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 (/.f64 y t) z)) x)))
	57.7%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) z) t (neg.f64 t)) (*.f64 t t)) y)) z x))
	59.6%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 (/.f64 (.f64 (*.f64 y y) z) t) #s(literal 1/2 binary64))) z x))
	74.4%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (/.f64 #s(literal -1 binary64) t)) y)) z x))
✓	60.9%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (*.f64 (/.f64 z t) #s(literal -1/2 binary64))) y)) z x))
	36.6%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (.f64 (/.f64 z t) #s(literal -1/2 binary64))) y)) z) #s(approx (- ( (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (.f64 (/.f64 z t) #s(literal -1/2 binary64))) y))) z)) (-.f64 x (.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (*.f64 (/.f64 z t) #s(literal -1/2 binary64))) y)) z))))
	7.6%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (.f64 #s(approx (log (+ 1 ( (- (exp z) 1) y))) (.f64 z y)) t) (.f64 (neg.f64 t) t)))
✓	27.4%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
	15.7%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (.f64 #s(approx (- (exp z) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) (neg.f64 t)))
	16.6%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (*.f64 z y))) (neg.f64 t)))
	10.0%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 (fma.f64 (.f64 (-.f64 y (*.f64 y y)) z) #s(literal 1/2 binary64) y) z)) (neg.f64 t)))
	18.7%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
	7.8%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 z y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 t t)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))
✓	12.8%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 z y)) (neg.f64 t)))
	27.3%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 t) (log1p.f64 (*.f64 (expm1.f64 z) y)))))
	8.4%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (.f64 (/.f64 #s(approx (log (+ 1 ( (- (exp z) 1) y))) (.f64 z y)) (.f64 (neg.f64 t) t)) t))
	27.4%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (.f64 (expm1.f64 z) y))))
	12.8%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ 1 ( (- (exp z) 1) y))) (*.f64 z y))))
	12.5%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (/ (- 0 (* t t)) (+ 0 t))) (*.f64 (neg.f64 y) (/.f64 z t))))
	11.1%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 (neg.f64 z) (/.f64 t y))))
	7.8%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) z) (/.f64 y t))))
	5.3%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (.f64 (/.f64 (.f64 (neg.f64 z) y) (.f64 (.f64 t t) t)) (*.f64 t t))))
✓	11.1%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t))))
	12.5%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) t) (neg.f64 z)))))
	69.6%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (fma.f64 (.f64 z (/.f64 (.f64 z y) t)) #s(literal 1/2 binary64) (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) t) z)) y x)))
	59.3%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) z) #s(literal -1/2 binary64)) y) z) (*.f64 x t)) x x)))
	70.9%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (*.f64 z y) (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) t) x)))
	2.7%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (.f64 (.f64 (.f64 y y) (/.f64 (.f64 z z) t)) #s(literal 1/2 binary64))))

Compiler

Compiled 2 005 to 811 computations (59.6% saved)

regimes199.0ms (1%)

Memory

24.5MiB live, 361.1MiB allocated

Counts

71 → 3

Calls

Call 1

Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (/ (- 0 (* t t)) (+ 0 t))) (*.f64 (neg.f64 y) (/.f64 z t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 z y)) (neg.f64 t)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
(-.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)) (.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ 1 ( (- (exp z) 1) y))) (*.f64 z y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (/.f64 #s(literal -1 binary64) t)) y)) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) t) (neg.f64 z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 (neg.f64 z) (/.f64 t y))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) t) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) t))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (.f64 (/.f64 #s(literal 1 binary64) t) y) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y #s(approx (/ t (- (exp z) 1)) (/.f64 t z)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (*.f64 (/.f64 z t) #s(literal -1/2 binary64))) y)) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (*.f64 z y) (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) t) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (.f64 (/.f64 #s(approx (log (+ 1 ( (- (exp z) 1) y))) (.f64 z y)) (.f64 (neg.f64 t) t)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (.f64 #s(approx (log (+ 1 ( (- (exp z) 1) y))) (.f64 z y)) t) (.f64 (neg.f64 t) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) t)) y)) z x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 #s(approx (- (exp z) 1) #s(approx ( (+ (* 1/2 z) 1) z) (.f64 (.f64 z z) #s(literal 1/2 binary64)))) t) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 #s(approx (- (exp z) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) t) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 z y) #s(literal 1/2 binary64) y) z))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (.f64 (.f64 y (/.f64 (.f64 (.f64 z z) y) t)) #s(literal 1/2 binary64))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (.f64 (.f64 (.f64 y y) (/.f64 (.f64 z z) t)) #s(literal 1/2 binary64))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 (.f64 (/.f64 (*.f64 z y) t) y) #s(literal 1/2 binary64))) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 (/.f64 (.f64 (*.f64 y y) z) t) #s(literal 1/2 binary64))) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) z) (/.f64 y t))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y #s(approx (/ t (- (exp z) 1)) (/.f64 (fma.f64 (*.f64 t z) #s(literal -1/2 binary64) t) z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (.f64 (/.f64 (-.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) z) #s(literal -1/2 binary64)) y) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 (fma.f64 (.f64 (-.f64 y (*.f64 y y)) z) #s(literal 1/2 binary64) y) z)) (neg.f64 t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (.f64 (/.f64 (.f64 (neg.f64 z) y) (.f64 (.f64 t t) t)) (*.f64 t t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 z y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 t t)) (+.f64 #s(literal 0 binary64) t))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (*.f64 (fma.f64 (/.f64 z t) #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) t)) y)) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) z) t (neg.f64 t)) (*.f64 t t)) y)) z x))
(.f64 #s(approx ( (+ (/ (log (+ (- 1 y) (* y (exp z)))) t) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 (/.f64 y t) z)) x)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y #s(approx (/ t (- (exp z) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) t (.f64 #s(literal 1/12 binary64) (.f64 t z))) z t) z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) z) #s(literal -1/2 binary64)) y) z) (*.f64 x t)) x x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 (.f64 (/.f64 (.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (fma.f64 (.f64 z (/.f64 (.f64 z y) t)) #s(literal 1/2 binary64) (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) t) z)) y x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 z y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 t t)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (fma.f64 (.f64 z (/.f64 (.f64 z y) t)) #s(literal 1/2 binary64) (*.f64 (fma.f64 (/.f64 z t) #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) t)) z)) y x)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y #s(approx (/ t (- (exp z) 1)) (/.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) t (.f64 #s(literal 1/24 binary64) t)) z (.f64 #s(literal -1/12 binary64) t))) z (*.f64 #s(literal -1/2 binary64) t)) z t) z)))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.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 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t))
(.f64 (.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 y t) z)) x) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (/.f64 y t) z)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (/ (log (+ (- 1 y) ( y (exp z)))) t) x) (fma.f64 y (/.f64 z t) x))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) z) t) (.f64 y y)) #s(literal -1/2 binary64) (/.f64 t y)) z))))
(.f64 (.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 y t) z)) x) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (/.f64 y t) z)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 (/.f64 y t) z)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (fma.f64 (neg.f64 y) (/.f64 t (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) z)) (.f64 t #s(literal -1/2 binary64))) (.f64 t (/.f64 t (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) z)))) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (.f64 (/.f64 z t) #s(literal -1/2 binary64))) y)) z) #s(approx (- ( (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (.f64 (/.f64 z t) #s(literal -1/2 binary64))) y))) z)) (-.f64 x (.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (*.f64 (/.f64 z t) #s(literal -1/2 binary64))) y)) z))))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (*.f64 z y))) (neg.f64 t)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(-.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))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y (/.f64 t (expm1.f64 z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (.f64 #s(approx (- (exp z) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) (neg.f64 t)))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)))))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)))) t))
(-.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (log (+ (- 1 y) ( y (exp z)))) (*.f64 (expm1.f64 z) y))) t)))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (+.f64 (fma.f64 #s(literal -3 binary64) (.f64 y y) (.f64 (.f64 (.f64 y y) y) #s(literal 2 binary64))) y) t) (.f64 y y)) #s(literal 1/6 binary64) (.f64 (/.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) (-.f64 y (.f64 y y))) t) (.f64 (.f64 y y) y)) #s(literal -1/4 binary64))) z (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 y (.f64 y y)) t)) (*.f64 y y)))) z (/.f64 t y)) z))))
#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))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (.f64 (expm1.f64 z) y))))
(-.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)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 t) (log1p.f64 (*.f64 (expm1.f64 z) y)))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (expm1.f64 z) #s(literal 1 binary64)) (expm1.f64 z)) y)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.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)) t))

Outputs

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

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

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

Calls

9 calls:

30.0ms	x
25.0ms	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
22.0ms	y
22.0ms	z
22.0ms	t

Results

Accuracy	Segments	Branch
89.8%	2	`x`
94.7%	3	`y`
95.3%	3	`z`
90.7%	3	`t`
92.6%	3	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
92.7%	3	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
93.3%	2	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
93.3%	2	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
93.4%	2	`(exp.f64 z)`

Compiler

Compiled 83 to 63 computations (24.1% saved)

regimes90.0ms (0.4%)

Memory

17.8MiB live, 196.0MiB allocated

Counts

67 → 2

Calls

Call 1

Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (/ (- 0 (* t t)) (+ 0 t))) (*.f64 (neg.f64 y) (/.f64 z t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 z y)) (neg.f64 t)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
(-.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)) (.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ 1 ( (- (exp z) 1) y))) (*.f64 z y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (/.f64 #s(literal -1 binary64) t)) y)) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) t) (neg.f64 z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 (neg.f64 z) (/.f64 t y))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) t) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) t))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (.f64 (/.f64 #s(literal 1 binary64) t) y) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y #s(approx (/ t (- (exp z) 1)) (/.f64 t z)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (*.f64 (/.f64 z t) #s(literal -1/2 binary64))) y)) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (*.f64 z y) (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) t) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (.f64 (/.f64 #s(approx (log (+ 1 ( (- (exp z) 1) y))) (.f64 z y)) (.f64 (neg.f64 t) t)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (.f64 #s(approx (log (+ 1 ( (- (exp z) 1) y))) (.f64 z y)) t) (.f64 (neg.f64 t) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) t)) y)) z x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 #s(approx (- (exp z) 1) #s(approx ( (+ (* 1/2 z) 1) z) (.f64 (.f64 z z) #s(literal 1/2 binary64)))) t) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 #s(approx (- (exp z) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) t) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 z y) #s(literal 1/2 binary64) y) z))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (.f64 (.f64 y (/.f64 (.f64 (.f64 z z) y) t)) #s(literal 1/2 binary64))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (.f64 (.f64 (.f64 y y) (/.f64 (.f64 z z) t)) #s(literal 1/2 binary64))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 (.f64 (/.f64 (*.f64 z y) t) y) #s(literal 1/2 binary64))) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 (/.f64 (.f64 (*.f64 y y) z) t) #s(literal 1/2 binary64))) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) z) (/.f64 y t))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y #s(approx (/ t (- (exp z) 1)) (/.f64 (fma.f64 (*.f64 t z) #s(literal -1/2 binary64) t) z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (.f64 (/.f64 (-.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) z) #s(literal -1/2 binary64)) y) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 (fma.f64 (.f64 (-.f64 y (*.f64 y y)) z) #s(literal 1/2 binary64) y) z)) (neg.f64 t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (.f64 (/.f64 (.f64 (neg.f64 z) y) (.f64 (.f64 t t) t)) (*.f64 t t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 z y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 t t)) (+.f64 #s(literal 0 binary64) t))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (*.f64 (fma.f64 (/.f64 z t) #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) t)) y)) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) z) t (neg.f64 t)) (*.f64 t t)) y)) z x))
(.f64 #s(approx ( (+ (/ (log (+ (- 1 y) (* y (exp z)))) t) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 (/.f64 y t) z)) x)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y #s(approx (/ t (- (exp z) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) t (.f64 #s(literal 1/12 binary64) (.f64 t z))) z t) z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) z) #s(literal -1/2 binary64)) y) z) (*.f64 x t)) x x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 (.f64 (/.f64 (.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (fma.f64 (.f64 z (/.f64 (.f64 z y) t)) #s(literal 1/2 binary64) (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) t) z)) y x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 z y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 t t)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (fma.f64 (.f64 z (/.f64 (.f64 z y) t)) #s(literal 1/2 binary64) (*.f64 (fma.f64 (/.f64 z t) #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) t)) z)) y x)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y #s(approx (/ t (- (exp z) 1)) (/.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) t (.f64 #s(literal 1/24 binary64) t)) z (.f64 #s(literal -1/12 binary64) t))) z (*.f64 #s(literal -1/2 binary64) t)) z t) z)))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.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 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t))
(.f64 (.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 y t) z)) x) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (/.f64 y t) z)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (/ (log (+ (- 1 y) ( y (exp z)))) t) x) (fma.f64 y (/.f64 z t) x))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) z) t) (.f64 y y)) #s(literal -1/2 binary64) (/.f64 t y)) z))))
(.f64 (.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 y t) z)) x) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (/.f64 y t) z)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 (/.f64 y t) z)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (fma.f64 (neg.f64 y) (/.f64 t (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) z)) (.f64 t #s(literal -1/2 binary64))) (.f64 t (/.f64 t (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) z)))) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (.f64 (/.f64 z t) #s(literal -1/2 binary64))) y)) z) #s(approx (- ( (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (.f64 (/.f64 z t) #s(literal -1/2 binary64))) y))) z)) (-.f64 x (.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (*.f64 (/.f64 z t) #s(literal -1/2 binary64))) y)) z))))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (*.f64 z y))) (neg.f64 t)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(-.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))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y (/.f64 t (expm1.f64 z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (.f64 #s(approx (- (exp z) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) (neg.f64 t)))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)))))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)))) t))
(-.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (log (+ (- 1 y) ( y (exp z)))) (*.f64 (expm1.f64 z) y))) t)))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (+.f64 (fma.f64 #s(literal -3 binary64) (.f64 y y) (.f64 (.f64 (.f64 y y) y) #s(literal 2 binary64))) y) t) (.f64 y y)) #s(literal 1/6 binary64) (.f64 (/.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) (-.f64 y (.f64 y y))) t) (.f64 (.f64 y y) y)) #s(literal -1/4 binary64))) z (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 y (.f64 y y)) t)) (*.f64 y y)))) z (/.f64 t y)) z))))
#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))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (.f64 (expm1.f64 z) y))))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))

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

Calls

4 calls:

24.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
21.0ms	z
19.0ms	(exp.f64 z)
17.0ms	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))

Results

Accuracy	Segments	Branch
93.3%	2	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
93.3%	2	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
86.8%	1	`(exp.f64 z)`
92.0%	4	`z`

Compiler

Compiled 36 to 28 computations (22.2% saved)

regimes73.0ms (0.4%)

Memory

10.7MiB live, 115.3MiB allocated

Counts

64 → 3

Calls

Call 1

Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (/ (- 0 (* t t)) (+ 0 t))) (*.f64 (neg.f64 y) (/.f64 z t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 z y)) (neg.f64 t)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
(-.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)) (.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ 1 ( (- (exp z) 1) y))) (*.f64 z y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (/.f64 #s(literal -1 binary64) t)) y)) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) t) (neg.f64 z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 (neg.f64 z) (/.f64 t y))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) t) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) t))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (.f64 (/.f64 #s(literal 1 binary64) t) y) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y #s(approx (/ t (- (exp z) 1)) (/.f64 t z)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (*.f64 (/.f64 z t) #s(literal -1/2 binary64))) y)) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (*.f64 z y) (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) t) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (.f64 (/.f64 #s(approx (log (+ 1 ( (- (exp z) 1) y))) (.f64 z y)) (.f64 (neg.f64 t) t)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (.f64 #s(approx (log (+ 1 ( (- (exp z) 1) y))) (.f64 z y)) t) (.f64 (neg.f64 t) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) t)) y)) z x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 #s(approx (- (exp z) 1) #s(approx ( (+ (* 1/2 z) 1) z) (.f64 (.f64 z z) #s(literal 1/2 binary64)))) t) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 #s(approx (- (exp z) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) t) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 z y) #s(literal 1/2 binary64) y) z))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (.f64 (.f64 y (/.f64 (.f64 (.f64 z z) y) t)) #s(literal 1/2 binary64))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (.f64 (.f64 (.f64 y y) (/.f64 (.f64 z z) t)) #s(literal 1/2 binary64))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 (.f64 (/.f64 (*.f64 z y) t) y) #s(literal 1/2 binary64))) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 (/.f64 (.f64 (*.f64 y y) z) t) #s(literal 1/2 binary64))) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) z) (/.f64 y t))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y #s(approx (/ t (- (exp z) 1)) (/.f64 (fma.f64 (*.f64 t z) #s(literal -1/2 binary64) t) z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (.f64 (/.f64 (-.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) z) #s(literal -1/2 binary64)) y) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 (fma.f64 (.f64 (-.f64 y (*.f64 y y)) z) #s(literal 1/2 binary64) y) z)) (neg.f64 t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (.f64 (/.f64 (.f64 (neg.f64 z) y) (.f64 (.f64 t t) t)) (*.f64 t t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 z y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 t t)) (+.f64 #s(literal 0 binary64) t))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (*.f64 (fma.f64 (/.f64 z t) #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) t)) y)) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) z) t (neg.f64 t)) (*.f64 t t)) y)) z x))
(.f64 #s(approx ( (+ (/ (log (+ (- 1 y) (* y (exp z)))) t) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 (/.f64 y t) z)) x)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y #s(approx (/ t (- (exp z) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) t (.f64 #s(literal 1/12 binary64) (.f64 t z))) z t) z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) z) #s(literal -1/2 binary64)) y) z) (*.f64 x t)) x x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 (.f64 (/.f64 (.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (fma.f64 (.f64 z (/.f64 (.f64 z y) t)) #s(literal 1/2 binary64) (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) t) z)) y x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 z y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 t t)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (fma.f64 (.f64 z (/.f64 (.f64 z y) t)) #s(literal 1/2 binary64) (*.f64 (fma.f64 (/.f64 z t) #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) t)) z)) y x)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y #s(approx (/ t (- (exp z) 1)) (/.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) t (.f64 #s(literal 1/24 binary64) t)) z (.f64 #s(literal -1/12 binary64) t))) z (*.f64 #s(literal -1/2 binary64) t)) z t) z)))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.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 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t))
(.f64 (.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 y t) z)) x) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (/.f64 y t) z)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (/ (log (+ (- 1 y) ( y (exp z)))) t) x) (fma.f64 y (/.f64 z t) x))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) z) t) (.f64 y y)) #s(literal -1/2 binary64) (/.f64 t y)) z))))
(.f64 (.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 y t) z)) x) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (/.f64 y t) z)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 (/.f64 y t) z)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (fma.f64 (neg.f64 y) (/.f64 t (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) z)) (.f64 t #s(literal -1/2 binary64))) (.f64 t (/.f64 t (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) z)))) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (.f64 (/.f64 z t) #s(literal -1/2 binary64))) y)) z) #s(approx (- ( (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (.f64 (/.f64 z t) #s(literal -1/2 binary64))) y))) z)) (-.f64 x (.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (*.f64 (/.f64 z t) #s(literal -1/2 binary64))) y)) z))))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (*.f64 z y))) (neg.f64 t)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(-.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))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y (/.f64 t (expm1.f64 z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (.f64 #s(approx (- (exp z) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) (neg.f64 t)))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)))))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)))) t))
(-.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (log (+ (- 1 y) ( y (exp z)))) (*.f64 (expm1.f64 z) y))) t)))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (+.f64 (fma.f64 #s(literal -3 binary64) (.f64 y y) (.f64 (.f64 (.f64 y y) y) #s(literal 2 binary64))) y) t) (.f64 y y)) #s(literal 1/6 binary64) (.f64 (/.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) (-.f64 y (.f64 y y))) t) (.f64 (.f64 y y) y)) #s(literal -1/4 binary64))) z (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 y (.f64 y y)) t)) (*.f64 y y)))) z (/.f64 t y)) z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))

Outputs

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

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

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

Calls

3 calls:

37.0ms	y
17.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
15.0ms	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))

Results

Accuracy	Segments	Branch
93.6%	3	`y`
90.4%	2	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
90.4%	2	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes182.0ms (0.9%)

Memory

-9.3MiB live, 229.0MiB allocated

Counts

63 → 2

Calls

Call 1

Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (/ (- 0 (* t t)) (+ 0 t))) (*.f64 (neg.f64 y) (/.f64 z t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 z y)) (neg.f64 t)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
(-.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)) (.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ 1 ( (- (exp z) 1) y))) (*.f64 z y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (/.f64 #s(literal -1 binary64) t)) y)) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) t) (neg.f64 z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 (neg.f64 z) (/.f64 t y))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) t) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) t))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (.f64 (/.f64 #s(literal 1 binary64) t) y) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y #s(approx (/ t (- (exp z) 1)) (/.f64 t z)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (*.f64 (/.f64 z t) #s(literal -1/2 binary64))) y)) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (*.f64 z y) (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) t) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (.f64 (/.f64 #s(approx (log (+ 1 ( (- (exp z) 1) y))) (.f64 z y)) (.f64 (neg.f64 t) t)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (.f64 #s(approx (log (+ 1 ( (- (exp z) 1) y))) (.f64 z y)) t) (.f64 (neg.f64 t) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) t)) y)) z x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 #s(approx (- (exp z) 1) #s(approx ( (+ (* 1/2 z) 1) z) (.f64 (.f64 z z) #s(literal 1/2 binary64)))) t) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 #s(approx (- (exp z) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) t) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 z y) #s(literal 1/2 binary64) y) z))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (.f64 (.f64 y (/.f64 (.f64 (.f64 z z) y) t)) #s(literal 1/2 binary64))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (.f64 (.f64 (.f64 y y) (/.f64 (.f64 z z) t)) #s(literal 1/2 binary64))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 (.f64 (/.f64 (*.f64 z y) t) y) #s(literal 1/2 binary64))) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 (/.f64 (.f64 (*.f64 y y) z) t) #s(literal 1/2 binary64))) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) z) (/.f64 y t))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y #s(approx (/ t (- (exp z) 1)) (/.f64 (fma.f64 (*.f64 t z) #s(literal -1/2 binary64) t) z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (.f64 (/.f64 (-.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) z) #s(literal -1/2 binary64)) y) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 (fma.f64 (.f64 (-.f64 y (*.f64 y y)) z) #s(literal 1/2 binary64) y) z)) (neg.f64 t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (.f64 (/.f64 (.f64 (neg.f64 z) y) (.f64 (.f64 t t) t)) (*.f64 t t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 z y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 t t)) (+.f64 #s(literal 0 binary64) t))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (*.f64 (fma.f64 (/.f64 z t) #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) t)) y)) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) z) t (neg.f64 t)) (*.f64 t t)) y)) z x))
(.f64 #s(approx ( (+ (/ (log (+ (- 1 y) (* y (exp z)))) t) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 (/.f64 y t) z)) x)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y #s(approx (/ t (- (exp z) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) t (.f64 #s(literal 1/12 binary64) (.f64 t z))) z t) z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) z) #s(literal -1/2 binary64)) y) z) (*.f64 x t)) x x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 (.f64 (/.f64 (.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (fma.f64 (.f64 z (/.f64 (.f64 z y) t)) #s(literal 1/2 binary64) (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) t) z)) y x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 z y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 t t)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (fma.f64 (.f64 z (/.f64 (.f64 z y) t)) #s(literal 1/2 binary64) (*.f64 (fma.f64 (/.f64 z t) #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) t)) z)) y x)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y #s(approx (/ t (- (exp z) 1)) (/.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) t (.f64 #s(literal 1/24 binary64) t)) z (.f64 #s(literal -1/12 binary64) t))) z (*.f64 #s(literal -1/2 binary64) t)) z t) z)))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.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 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t))
(.f64 (.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 y t) z)) x) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (/.f64 y t) z)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (/ (log (+ (- 1 y) ( y (exp z)))) t) x) (fma.f64 y (/.f64 z t) x))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) z) t) (.f64 y y)) #s(literal -1/2 binary64) (/.f64 t y)) z))))
(.f64 (.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 y t) z)) x) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (/.f64 y t) z)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 (/.f64 y t) z)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (fma.f64 (neg.f64 y) (/.f64 t (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) z)) (.f64 t #s(literal -1/2 binary64))) (.f64 t (/.f64 t (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) z)))) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (.f64 (/.f64 z t) #s(literal -1/2 binary64))) y)) z) #s(approx (- ( (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (.f64 (/.f64 z t) #s(literal -1/2 binary64))) y))) z)) (-.f64 x (.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (*.f64 (/.f64 z t) #s(literal -1/2 binary64))) y)) z))))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (*.f64 z y))) (neg.f64 t)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(-.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))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y (/.f64 t (expm1.f64 z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (.f64 #s(approx (- (exp z) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) (neg.f64 t)))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)))))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)))) t))
(-.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (log (+ (- 1 y) ( y (exp z)))) (*.f64 (expm1.f64 z) y))) t)))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (+.f64 (fma.f64 #s(literal -3 binary64) (.f64 y y) (.f64 (.f64 (.f64 y y) y) #s(literal 2 binary64))) y) t) (.f64 y y)) #s(literal 1/6 binary64) (.f64 (/.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) (-.f64 y (.f64 y y))) t) (.f64 (.f64 y y) y)) #s(literal -1/4 binary64))) z (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 y (.f64 y y)) t)) (*.f64 y y)))) z (/.f64 t y)) z))))

Outputs

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

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

Calls

6 calls:

75.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
30.0ms	x
22.0ms	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
19.0ms	y
17.0ms	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))

Results

Accuracy	Segments	Branch
86.8%	1	`x`
89.7%	2	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
89.7%	2	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
89.0%	2	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
89.0%	2	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
89.7%	2	`y`

Compiler

Compiled 67 to 50 computations (25.4% saved)

regimes52.0ms (0.3%)

Memory

1.1MiB live, 81.2MiB allocated

Counts

61 → 3

Calls

Call 1

Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (/ (- 0 (* t t)) (+ 0 t))) (*.f64 (neg.f64 y) (/.f64 z t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 z y)) (neg.f64 t)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
(-.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)) (.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ 1 ( (- (exp z) 1) y))) (*.f64 z y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (/.f64 #s(literal -1 binary64) t)) y)) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) t) (neg.f64 z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 (neg.f64 z) (/.f64 t y))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) t) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) t))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (.f64 (/.f64 #s(literal 1 binary64) t) y) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y #s(approx (/ t (- (exp z) 1)) (/.f64 t z)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (*.f64 (/.f64 z t) #s(literal -1/2 binary64))) y)) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (*.f64 z y) (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) t) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (.f64 (/.f64 #s(approx (log (+ 1 ( (- (exp z) 1) y))) (.f64 z y)) (.f64 (neg.f64 t) t)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (.f64 #s(approx (log (+ 1 ( (- (exp z) 1) y))) (.f64 z y)) t) (.f64 (neg.f64 t) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) t)) y)) z x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 #s(approx (- (exp z) 1) #s(approx ( (+ (* 1/2 z) 1) z) (.f64 (.f64 z z) #s(literal 1/2 binary64)))) t) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 #s(approx (- (exp z) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) t) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 z y) #s(literal 1/2 binary64) y) z))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (.f64 (.f64 y (/.f64 (.f64 (.f64 z z) y) t)) #s(literal 1/2 binary64))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (.f64 (.f64 (.f64 y y) (/.f64 (.f64 z z) t)) #s(literal 1/2 binary64))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 (.f64 (/.f64 (*.f64 z y) t) y) #s(literal 1/2 binary64))) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 (/.f64 (.f64 (*.f64 y y) z) t) #s(literal 1/2 binary64))) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) z) (/.f64 y t))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y #s(approx (/ t (- (exp z) 1)) (/.f64 (fma.f64 (*.f64 t z) #s(literal -1/2 binary64) t) z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (.f64 (/.f64 (-.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) z) #s(literal -1/2 binary64)) y) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 (fma.f64 (.f64 (-.f64 y (*.f64 y y)) z) #s(literal 1/2 binary64) y) z)) (neg.f64 t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (.f64 (/.f64 (.f64 (neg.f64 z) y) (.f64 (.f64 t t) t)) (*.f64 t t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 z y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 t t)) (+.f64 #s(literal 0 binary64) t))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (*.f64 (fma.f64 (/.f64 z t) #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) t)) y)) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) z) t (neg.f64 t)) (*.f64 t t)) y)) z x))
(.f64 #s(approx ( (+ (/ (log (+ (- 1 y) (* y (exp z)))) t) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 (/.f64 y t) z)) x)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y #s(approx (/ t (- (exp z) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) t (.f64 #s(literal 1/12 binary64) (.f64 t z))) z t) z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) z) #s(literal -1/2 binary64)) y) z) (*.f64 x t)) x x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 (.f64 (/.f64 (.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (fma.f64 (.f64 z (/.f64 (.f64 z y) t)) #s(literal 1/2 binary64) (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) t) z)) y x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 z y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 t t)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (fma.f64 (.f64 z (/.f64 (.f64 z y) t)) #s(literal 1/2 binary64) (*.f64 (fma.f64 (/.f64 z t) #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) t)) z)) y x)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y #s(approx (/ t (- (exp z) 1)) (/.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) t (.f64 #s(literal 1/24 binary64) t)) z (.f64 #s(literal -1/12 binary64) t))) z (*.f64 #s(literal -1/2 binary64) t)) z t) z)))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.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 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t))
(.f64 (.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 y t) z)) x) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (/.f64 y t) z)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (/ (log (+ (- 1 y) ( y (exp z)))) t) x) (fma.f64 y (/.f64 z t) x))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) z) t) (.f64 y y)) #s(literal -1/2 binary64) (/.f64 t y)) z))))
(.f64 (.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 y t) z)) x) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (/.f64 y t) z)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 (/.f64 y t) z)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (fma.f64 (neg.f64 y) (/.f64 t (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) z)) (.f64 t #s(literal -1/2 binary64))) (.f64 t (/.f64 t (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) z)))) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (.f64 (/.f64 z t) #s(literal -1/2 binary64))) y)) z) #s(approx (- ( (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (.f64 (/.f64 z t) #s(literal -1/2 binary64))) y))) z)) (-.f64 x (.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (*.f64 (/.f64 z t) #s(literal -1/2 binary64))) y)) z))))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (*.f64 z y))) (neg.f64 t)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(-.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))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y (/.f64 t (expm1.f64 z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (.f64 #s(approx (- (exp z) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) (neg.f64 t)))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)))))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)))) t))
(-.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (log (+ (- 1 y) ( y (exp z)))) (*.f64 (expm1.f64 z) y))) t)))

Outputs

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

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

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

Calls

3 calls:

19.0ms	y
16.0ms	(+.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))))

Results

Accuracy	Segments	Branch
88.0%	2	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
88.0%	2	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
90.7%	3	`y`

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes91.0ms (0.4%)

Memory

5.2MiB live, 44.3MiB allocated

Counts

56 → 3

Calls

Call 1

Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (/ (- 0 (* t t)) (+ 0 t))) (*.f64 (neg.f64 y) (/.f64 z t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 z y)) (neg.f64 t)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
(-.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)) (.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ 1 ( (- (exp z) 1) y))) (*.f64 z y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (/.f64 #s(literal -1 binary64) t)) y)) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) t) (neg.f64 z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 (neg.f64 z) (/.f64 t y))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) t) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) t))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (.f64 (/.f64 #s(literal 1 binary64) t) y) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y #s(approx (/ t (- (exp z) 1)) (/.f64 t z)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (*.f64 (/.f64 z t) #s(literal -1/2 binary64))) y)) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (*.f64 z y) (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) t) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (.f64 (/.f64 #s(approx (log (+ 1 ( (- (exp z) 1) y))) (.f64 z y)) (.f64 (neg.f64 t) t)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (.f64 #s(approx (log (+ 1 ( (- (exp z) 1) y))) (.f64 z y)) t) (.f64 (neg.f64 t) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) t)) y)) z x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 #s(approx (- (exp z) 1) #s(approx ( (+ (* 1/2 z) 1) z) (.f64 (.f64 z z) #s(literal 1/2 binary64)))) t) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 #s(approx (- (exp z) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) t) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 z y) #s(literal 1/2 binary64) y) z))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (.f64 (.f64 y (/.f64 (.f64 (.f64 z z) y) t)) #s(literal 1/2 binary64))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (.f64 (.f64 (.f64 y y) (/.f64 (.f64 z z) t)) #s(literal 1/2 binary64))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 (.f64 (/.f64 (*.f64 z y) t) y) #s(literal 1/2 binary64))) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 (/.f64 (.f64 (*.f64 y y) z) t) #s(literal 1/2 binary64))) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) z) (/.f64 y t))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y #s(approx (/ t (- (exp z) 1)) (/.f64 (fma.f64 (*.f64 t z) #s(literal -1/2 binary64) t) z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (.f64 (/.f64 (-.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) z) #s(literal -1/2 binary64)) y) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 (fma.f64 (.f64 (-.f64 y (*.f64 y y)) z) #s(literal 1/2 binary64) y) z)) (neg.f64 t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (.f64 (/.f64 (.f64 (neg.f64 z) y) (.f64 (.f64 t t) t)) (*.f64 t t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 z y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 t t)) (+.f64 #s(literal 0 binary64) t))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (*.f64 (fma.f64 (/.f64 z t) #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) t)) y)) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) z) t (neg.f64 t)) (*.f64 t t)) y)) z x))
(.f64 #s(approx ( (+ (/ (log (+ (- 1 y) (* y (exp z)))) t) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 (/.f64 y t) z)) x)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y #s(approx (/ t (- (exp z) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) t (.f64 #s(literal 1/12 binary64) (.f64 t z))) z t) z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) z) #s(literal -1/2 binary64)) y) z) (*.f64 x t)) x x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 (.f64 (/.f64 (.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (fma.f64 (.f64 z (/.f64 (.f64 z y) t)) #s(literal 1/2 binary64) (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) t) z)) y x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 z y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 t t)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (fma.f64 (.f64 z (/.f64 (.f64 z y) t)) #s(literal 1/2 binary64) (*.f64 (fma.f64 (/.f64 z t) #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) t)) z)) y x)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y #s(approx (/ t (- (exp z) 1)) (/.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) t (.f64 #s(literal 1/24 binary64) t)) z (.f64 #s(literal -1/12 binary64) t))) z (*.f64 #s(literal -1/2 binary64) t)) z t) z)))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.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 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t))
(.f64 (.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 y t) z)) x) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (/.f64 y t) z)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (/ (log (+ (- 1 y) ( y (exp z)))) t) x) (fma.f64 y (/.f64 z t) x))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) z) t) (.f64 y y)) #s(literal -1/2 binary64) (/.f64 t y)) z))))
(.f64 (.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 y t) z)) x) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (/.f64 y t) z)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 (/.f64 y t) z)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (fma.f64 (neg.f64 y) (/.f64 t (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) z)) (.f64 t #s(literal -1/2 binary64))) (.f64 t (/.f64 t (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) z)))) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (.f64 (/.f64 z t) #s(literal -1/2 binary64))) y)) z) #s(approx (- ( (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (.f64 (/.f64 z t) #s(literal -1/2 binary64))) y))) z)) (-.f64 x (.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (*.f64 (/.f64 z t) #s(literal -1/2 binary64))) y)) z))))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (*.f64 z y))) (neg.f64 t)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(-.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))

Outputs

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

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

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

Calls

2 calls:

72.0ms	y
16.0ms	t

Results

Accuracy	Segments	Branch
88.2%	2	`t`
90.7%	3	`y`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes156.0ms (0.8%)

Memory

-14.2MiB live, 179.3MiB allocated

Counts

55 → 2

Calls

Call 1

Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (/ (- 0 (* t t)) (+ 0 t))) (*.f64 (neg.f64 y) (/.f64 z t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 z y)) (neg.f64 t)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
(-.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)) (.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ 1 ( (- (exp z) 1) y))) (*.f64 z y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (/.f64 #s(literal -1 binary64) t)) y)) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) t) (neg.f64 z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 (neg.f64 z) (/.f64 t y))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) t) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) t))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (.f64 (/.f64 #s(literal 1 binary64) t) y) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y #s(approx (/ t (- (exp z) 1)) (/.f64 t z)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (*.f64 (/.f64 z t) #s(literal -1/2 binary64))) y)) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (*.f64 z y) (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) t) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (.f64 (/.f64 #s(approx (log (+ 1 ( (- (exp z) 1) y))) (.f64 z y)) (.f64 (neg.f64 t) t)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (.f64 #s(approx (log (+ 1 ( (- (exp z) 1) y))) (.f64 z y)) t) (.f64 (neg.f64 t) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) t)) y)) z x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 #s(approx (- (exp z) 1) #s(approx ( (+ (* 1/2 z) 1) z) (.f64 (.f64 z z) #s(literal 1/2 binary64)))) t) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 #s(approx (- (exp z) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) t) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 z y) #s(literal 1/2 binary64) y) z))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (.f64 (.f64 y (/.f64 (.f64 (.f64 z z) y) t)) #s(literal 1/2 binary64))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (.f64 (.f64 (.f64 y y) (/.f64 (.f64 z z) t)) #s(literal 1/2 binary64))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 (.f64 (/.f64 (*.f64 z y) t) y) #s(literal 1/2 binary64))) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 (/.f64 (.f64 (*.f64 y y) z) t) #s(literal 1/2 binary64))) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) z) (/.f64 y t))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y #s(approx (/ t (- (exp z) 1)) (/.f64 (fma.f64 (*.f64 t z) #s(literal -1/2 binary64) t) z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (.f64 (/.f64 (-.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) z) #s(literal -1/2 binary64)) y) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 (fma.f64 (.f64 (-.f64 y (*.f64 y y)) z) #s(literal 1/2 binary64) y) z)) (neg.f64 t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (.f64 (/.f64 (.f64 (neg.f64 z) y) (.f64 (.f64 t t) t)) (*.f64 t t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 z y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 t t)) (+.f64 #s(literal 0 binary64) t))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (*.f64 (fma.f64 (/.f64 z t) #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) t)) y)) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) z) t (neg.f64 t)) (*.f64 t t)) y)) z x))
(.f64 #s(approx ( (+ (/ (log (+ (- 1 y) (* y (exp z)))) t) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 (/.f64 y t) z)) x)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y #s(approx (/ t (- (exp z) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) t (.f64 #s(literal 1/12 binary64) (.f64 t z))) z t) z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) z) #s(literal -1/2 binary64)) y) z) (*.f64 x t)) x x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 (.f64 (/.f64 (.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (fma.f64 (.f64 z (/.f64 (.f64 z y) t)) #s(literal 1/2 binary64) (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) t) z)) y x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 z y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 t t)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (fma.f64 (.f64 z (/.f64 (.f64 z y) t)) #s(literal 1/2 binary64) (*.f64 (fma.f64 (/.f64 z t) #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) t)) z)) y x)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y #s(approx (/ t (- (exp z) 1)) (/.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) t (.f64 #s(literal 1/24 binary64) t)) z (.f64 #s(literal -1/12 binary64) t))) z (*.f64 #s(literal -1/2 binary64) t)) z t) z)))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.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 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t))
(.f64 (.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 y t) z)) x) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (/.f64 y t) z)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (/ (log (+ (- 1 y) ( y (exp z)))) t) x) (fma.f64 y (/.f64 z t) x))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) z) t) (.f64 y y)) #s(literal -1/2 binary64) (/.f64 t y)) z))))
(.f64 (.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 y t) z)) x) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (/.f64 y t) z)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 (/.f64 y t) z)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (fma.f64 (neg.f64 y) (/.f64 t (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) z)) (.f64 t #s(literal -1/2 binary64))) (.f64 t (/.f64 t (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) z)))) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (.f64 (/.f64 z t) #s(literal -1/2 binary64))) y)) z) #s(approx (- ( (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (.f64 (/.f64 z t) #s(literal -1/2 binary64))) y))) z)) (-.f64 x (.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (*.f64 (/.f64 z t) #s(literal -1/2 binary64))) y)) z))))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (*.f64 z y))) (neg.f64 t)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))

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

Calls

7 calls:

44.0ms	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
28.0ms	x
19.0ms	t
18.0ms	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
17.0ms	y

Results

Accuracy	Segments	Branch
88.2%	2	`t`
85.9%	1	`x`
85.9%	1	`(exp.f64 z)`
85.9%	1	`z`
85.9%	1	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
85.9%	1	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
85.9%	1	`y`

Compiler

Compiled 58 to 44 computations (24.1% saved)

regimes247.0ms (1.2%)

Memory

-18.8MiB live, 271.2MiB allocated

Counts

53 → 1

Calls

Call 1

Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (/ (- 0 (* t t)) (+ 0 t))) (*.f64 (neg.f64 y) (/.f64 z t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 z y)) (neg.f64 t)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
(-.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)) (.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ 1 ( (- (exp z) 1) y))) (*.f64 z y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (/.f64 #s(literal -1 binary64) t)) y)) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) t) (neg.f64 z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 (neg.f64 z) (/.f64 t y))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) t) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) t))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (.f64 (/.f64 #s(literal 1 binary64) t) y) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y #s(approx (/ t (- (exp z) 1)) (/.f64 t z)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (*.f64 (/.f64 z t) #s(literal -1/2 binary64))) y)) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (*.f64 z y) (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) t) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (.f64 (/.f64 #s(approx (log (+ 1 ( (- (exp z) 1) y))) (.f64 z y)) (.f64 (neg.f64 t) t)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (.f64 #s(approx (log (+ 1 ( (- (exp z) 1) y))) (.f64 z y)) t) (.f64 (neg.f64 t) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) t)) y)) z x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 #s(approx (- (exp z) 1) #s(approx ( (+ (* 1/2 z) 1) z) (.f64 (.f64 z z) #s(literal 1/2 binary64)))) t) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 #s(approx (- (exp z) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) t) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 z y) #s(literal 1/2 binary64) y) z))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (.f64 (.f64 y (/.f64 (.f64 (.f64 z z) y) t)) #s(literal 1/2 binary64))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (.f64 (.f64 (.f64 y y) (/.f64 (.f64 z z) t)) #s(literal 1/2 binary64))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 (.f64 (/.f64 (*.f64 z y) t) y) #s(literal 1/2 binary64))) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 (/.f64 (.f64 (*.f64 y y) z) t) #s(literal 1/2 binary64))) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) z) (/.f64 y t))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y #s(approx (/ t (- (exp z) 1)) (/.f64 (fma.f64 (*.f64 t z) #s(literal -1/2 binary64) t) z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (.f64 (/.f64 (-.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) z) #s(literal -1/2 binary64)) y) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 (fma.f64 (.f64 (-.f64 y (*.f64 y y)) z) #s(literal 1/2 binary64) y) z)) (neg.f64 t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (.f64 (/.f64 (.f64 (neg.f64 z) y) (.f64 (.f64 t t) t)) (*.f64 t t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 z y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 t t)) (+.f64 #s(literal 0 binary64) t))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (*.f64 (fma.f64 (/.f64 z t) #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) t)) y)) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) z) t (neg.f64 t)) (*.f64 t t)) y)) z x))
(.f64 #s(approx ( (+ (/ (log (+ (- 1 y) (* y (exp z)))) t) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 (/.f64 y t) z)) x)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y #s(approx (/ t (- (exp z) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) t (.f64 #s(literal 1/12 binary64) (.f64 t z))) z t) z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) z) #s(literal -1/2 binary64)) y) z) (*.f64 x t)) x x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 (.f64 (/.f64 (.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (fma.f64 (.f64 z (/.f64 (.f64 z y) t)) #s(literal 1/2 binary64) (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) t) z)) y x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 z y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 t t)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (fma.f64 (.f64 z (/.f64 (.f64 z y) t)) #s(literal 1/2 binary64) (*.f64 (fma.f64 (/.f64 z t) #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) t)) z)) y x)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y #s(approx (/ t (- (exp z) 1)) (/.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) t (.f64 #s(literal 1/24 binary64) t)) z (.f64 #s(literal -1/12 binary64) t))) z (*.f64 #s(literal -1/2 binary64) t)) z t) z)))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.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 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t))
(.f64 (.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 y t) z)) x) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (/.f64 y t) z)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (/ (log (+ (- 1 y) ( y (exp z)))) t) x) (fma.f64 y (/.f64 z t) x))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) z) t) (.f64 y y)) #s(literal -1/2 binary64) (/.f64 t y)) z))))
(.f64 (.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 y t) z)) x) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (/.f64 y t) z)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 (/.f64 y t) z)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (fma.f64 (neg.f64 y) (/.f64 t (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) z)) (.f64 t #s(literal -1/2 binary64))) (.f64 t (/.f64 t (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) z)))) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (.f64 (/.f64 z t) #s(literal -1/2 binary64))) y)) z) #s(approx (- ( (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (.f64 (/.f64 z t) #s(literal -1/2 binary64))) y))) z)) (-.f64 x (.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 #s(approx (+ ( (/ z t) -1/2) (/ -1 t)) (*.f64 (/.f64 z t) #s(literal -1/2 binary64))) y)) z))))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (*.f64 z y))) (neg.f64 t)))

Outputs

(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y #s(approx (/ t (- (exp z) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) t (*.f64 #s(literal 1/12 binary64) (*.f64 t z))) z t) z)))))

Calls

9 calls:

115.0ms	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
19.0ms	z
18.0ms	t
17.0ms	x
17.0ms	y

Results

Accuracy	Segments	Branch
81.8%	1	`y`
81.8%	1	`z`
81.8%	1	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
81.8%	1	`x`
81.8%	1	`(exp.f64 z)`
81.8%	1	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
81.8%	1	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
81.8%	1	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
81.8%	1	`t`

Compiler

Compiled 83 to 63 computations (24.1% saved)

regimes117.0ms (0.6%)

Memory

30.7MiB live, 149.9MiB allocated

Counts

37 → 1

Calls

Call 1

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

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

Calls

9 calls:

32.0ms	z
13.0ms	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
11.0ms	t
11.0ms	y
11.0ms	x

Results

Accuracy	Segments	Branch
81.6%	1	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
81.6%	1	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
81.6%	1	`x`
81.6%	1	`y`
81.6%	1	`z`
81.6%	1	`(exp.f64 z)`
81.6%	1	`t`
81.6%	1	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
81.6%	1	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`

Compiler

Compiled 83 to 63 computations (24.1% saved)

regimes116.0ms (0.6%)

Memory

-17.3MiB live, 141.7MiB allocated

Counts

28 → 2

Calls

Call 1

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

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

Calls

9 calls:

44.0ms	z
15.0ms	x
8.0ms	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
8.0ms	t
8.0ms	y

Results

Accuracy	Segments	Branch
75.8%	1	`x`
75.8%	1	`t`
75.8%	1	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
75.8%	1	`z`
75.8%	1	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
75.8%	1	`y`
77.4%	2	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
77.4%	2	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
75.8%	1	`(exp.f64 z)`

Compiler

Compiled 83 to 63 computations (24.1% saved)

regimes33.0ms (0.2%)

Memory

1.7MiB live, 76.2MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

6 calls:

7.0ms	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
7.0ms	x
5.0ms	z
5.0ms	y
4.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))

Results

Accuracy	Segments	Branch
75.8%	1	`x`
75.8%	1	`y`
75.8%	1	`z`
75.8%	1	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
75.8%	1	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
75.8%	1	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`

Compiler

Compiled 57 to 43 computations (24.6% saved)

regimes79.0ms (0.4%)

Memory

-32.8MiB live, 71.6MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

9 calls:

35.0ms	(exp.f64 z)
17.0ms	y
4.0ms	x
4.0ms	z
4.0ms	t

Results

Accuracy	Segments	Branch
75.8%	1	`(exp.f64 z)`
75.8%	1	`t`
75.8%	1	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
75.8%	1	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
75.8%	1	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
75.8%	1	`x`
75.8%	1	`y`
75.8%	1	`z`
75.8%	1	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`

Compiler

Compiled 83 to 63 computations (24.1% saved)

regimes22.0ms (0.1%)

Memory

36.0MiB live, 36.0MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

9 calls:

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

Results

Accuracy	Segments	Branch
75.2%	1	`t`
75.2%	1	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
75.2%	1	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
75.2%	1	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
75.2%	1	`(exp.f64 z)`
75.2%	1	`y`
75.2%	1	`z`
75.2%	1	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
75.2%	1	`x`

Compiler

Compiled 83 to 63 computations (24.1% saved)

regimes21.0ms (0.1%)

Memory

-33.7MiB live, 41.1MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

9 calls:

4.0ms	z
2.0ms	t
2.0ms	x
2.0ms	y
2.0ms	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))

Results

Accuracy	Segments	Branch
12.8%	1	`x`
12.8%	1	`t`
12.8%	1	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
12.8%	1	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
12.8%	1	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
12.8%	1	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
12.8%	1	`(exp.f64 z)`
12.8%	1	`y`
12.8%	1	`z`

Compiler

Compiled 83 to 63 computations (24.1% saved)

regimes14.0ms (0.1%)

Memory

36.1MiB live, 36.1MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

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

Outputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (/ (- 0 (* t t)) (+ 0 t))) (*.f64 (neg.f64 y) (/.f64 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
12.5%	1	`(exp.f64 z)`
12.5%	1	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
12.5%	1	`z`
12.5%	1	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
12.5%	1	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
12.5%	1	`x`
12.5%	1	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
12.5%	1	`t`
12.5%	1	`y`

Compiler

Compiled 83 to 63 computations (24.1% saved)

regimes14.0ms (0.1%)

Memory

-3.1MiB live, 33.5MiB 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 (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t))))

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

Calls

9 calls:

3.0ms	t
1.0ms	z
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	x

Results

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

Compiler

Compiled 83 to 63 computations (24.1% saved)

bsearch65.0ms (0.3%)

Memory

8.4MiB live, 122.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
42.0ms	1.0368963567940637e-61	1.1959121822636576e-58
19.0ms	-6.726478851589988e-10	-3.532623480676736e-10

Samples

29.0ms	84×	1	valid
15.0ms	108×	0	valid
7.0ms	32×	1	invalid
1.0ms	11×	0	invalid

Compiler

Compiled 436 to 279 computations (36% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-log: 10.0ms (23% of total)

ival-sub: 9.0ms (20.7% of total)

ival-div: 8.0ms (18.4% of total)

ival-exp: 8.0ms (18.4% of total)

adjust: 3.0ms (6.9% of total)

ival-mult: 2.0ms (4.6% of total)

ival-add: 2.0ms (4.6% 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

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	1042562.6008785865

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch157.0ms (0.8%)

Memory

-0.4MiB live, 195.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
105.0ms	5.222545797016877e+178	1.0688281773856562e+181
46.0ms	-5.300584314239234e+177	-7.960083667297407e+175

Samples

99.0ms	175×	1	valid
30.0ms	48×	1	invalid
5.0ms	73×	0	invalid
4.0ms	49×	0	valid

Compiler

Compiled 517 to 355 computations (31.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 123.0ms

ival-div: 35.0ms (28.4% of total)

ival-exp: 32.0ms (26% of total)

ival-sub: 24.0ms (19.5% of total)

ival-log: 14.0ms (11.4% of total)

ival-add: 8.0ms (6.5% of total)

adjust: 5.0ms (4.1% of total)

ival-mult: 4.0ms (3.2% 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

3.1MiB live, 3.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.222545797016877e+178	1.0688281773856562e+181

Compiler

Compiled 272 to 187 computations (31.3% saved)

bsearch145.0ms (0.7%)

Memory

-10.3MiB live, 114.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
56.0ms	5.222545797016877e+178	1.0688281773856562e+181
84.0ms	-8.896974845934046e+85	-3.9133526086687896e+74

Samples

83.0ms	148×	1	valid
7.0ms	30×	1	invalid
5.0ms	60×	0	valid
2.0ms	27×	0	invalid

Compiler

Compiled 513 to 342 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

ival-exp: 38.0ms (44% of total)

ival-log: 31.0ms (35.9% of total)

ival-sub: 4.0ms (4.6% of total)

adjust: 4.0ms (4.6% of total)

ival-div: 3.0ms (3.5% of total)

ival-mult: 3.0ms (3.5% of total)

ival-add: 2.0ms (2.3% of total)

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	5.222545797016877e+178	1.0688281773856562e+181
1.0ms	-8.896974845934046e+85	-3.9133526086687896e+74

Compiler

Compiled 513 to 342 computations (33.3% saved)

bsearch67.0ms (0.3%)

Memory

-26.0MiB live, 12.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
31.0ms	5.844767554728261e+25	1.9510512376015897e+30

Samples

21.0ms	72×	1	valid
5.0ms	56×	0	valid

Compiler

Compiled 228 to 163 computations (28.5% saved)

Precisions

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

ival-log: 7.0ms (33.3% of total)

ival-exp: 6.0ms (28.5% of total)

ival-sub: 2.0ms (9.5% of total)

adjust: 2.0ms (9.5% of total)

ival-div: 1.0ms (4.8% of total)

ival-mult: 1.0ms (4.8% of total)

ival-add: 1.0ms (4.8% 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	0.9978565155931907

Compiler

Compiled 20 to 19 computations (5% saved)

simplify14.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated

Algorithm

1×	egg-herbie

Rules

84×	`*-commutative_binary64`
84×	`+-commutative_binary64`
84×	`sub-neg_binary64`
58×	`neg-sub0_binary64`
58×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	144	694
1	197	694
2	276	694
3	339	694
4	377	694
5	386	694

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 z #s(literal -290142196707511/604462909807314587353088 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x) (if (<=.f64 z #s(literal 2091946924697607/28269553036454149273332760011886696253239742350009903329945699220681916416 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y #s(approx (/ t (- (exp z) 1)) (/.f64 (fma.f64 (.f64 t z) #s(literal -1/2 binary64) t) z))))) (-.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 2 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (/.f64 y (/.f64 t (expm1.f64 z))))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t)))
(if (<=.f64 y #s(literal -5199999999999999588843319156466825154444522912034214249300429384634063922757086772187585289995529671819952523145394445683281192578521308231244354504374473052050484179757898399744 binary64)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (neg.f64 t))) (if (<=.f64 y #s(literal 4599999999999999766130048154767367085125081659397989024220407439243911988546922209547591623299295397664116880180914286769850721873079607299003961601674437185736574148294254618738688 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) ( y (exp z))))) (/.f64 (fma.f64 (.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)))) (-.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 4599999999999999766130048154767367085125081659397989024220407439243911988546922209547591623299295397664116880180914286769850721873079607299003961601674437185736574148294254618738688 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)))) (-.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 -84999999999999994341862747816800420197697791691470227587572944739046135798823374553088 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 3299999999999999892313570097275281987128751171356541128017725108255362499981579494082250720292149905368140317134798132528619159022757934881875856464151177305568232043853632065503232 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y (/.f64 t (expm1.f64 z))))) (-.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 -84999999999999994341862747816800420197697791691470227587572944739046135798823374553088 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 3299999999999999892313570097275281987128751171356541128017725108255362499981579494082250720292149905368140317134798132528619159022757934881875856464151177305568232043853632065503232 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))))
(if (<=.f64 t #s(literal 125000000000000002485578104832 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (expm1.f64 z) t) y))) (-.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 y #s(approx (/ t (- (exp z) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) t (.f64 #s(literal 1/12 binary64) (.f64 t z))) z t) z)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y #s(approx (/ t (- (exp z) 1)) (/.f64 (fma.f64 (*.f64 t z) #s(literal -1/2 binary64) t) z)))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) t)))) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) t))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 z y)) (neg.f64 t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (/ (- 0 (* t t)) (+ 0 t))) (*.f64 (neg.f64 y) (/.f64 z t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t))))

Outputs
(if (<=.f64 z #s(literal -290142196707511/604462909807314587353088 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x) (if (<=.f64 z #s(literal 2091946924697607/28269553036454149273332760011886696253239742350009903329945699220681916416 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y #s(approx (/ t (- (exp z) 1)) (/.f64 (fma.f64 (.f64 t z) #s(literal -1/2 binary64) t) z))))) (-.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 2 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (/.f64 y (/.f64 t (expm1.f64 z))))) (-.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 2 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (/.f64 y (/.f64 t (expm1.f64 z))))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t)))
(if (<=.f64 y #s(literal -5199999999999999588843319156466825154444522912034214249300429384634063922757086772187585289995529671819952523145394445683281192578521308231244354504374473052050484179757898399744 binary64)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (neg.f64 t))) (if (<=.f64 y #s(literal 4599999999999999766130048154767367085125081659397989024220407439243911988546922209547591623299295397664116880180914286769850721873079607299003961601674437185736574148294254618738688 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) ( y (exp z))))) (/.f64 (fma.f64 (.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)))) (-.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 -5199999999999999588843319156466825154444522912034214249300429384634063922757086772187585289995529671819952523145394445683281192578521308231244354504374473052050484179757898399744 binary64)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (neg.f64 t))) (if (<=.f64 y #s(literal 4599999999999999766130048154767367085125081659397989024220407439243911988546922209547591623299295397664116880180914286769850721873079607299003961601674437185736574148294254618738688 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) ( y (exp z))))) (/.f64 (fma.f64 (.f64 y t) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)))) (-.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 4599999999999999766130048154767367085125081659397989024220407439243911988546922209547591623299295397664116880180914286769850721873079607299003961601674437185736574148294254618738688 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)))) (-.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 4599999999999999766130048154767367085125081659397989024220407439243911988546922209547591623299295397664116880180914286769850721873079607299003961601674437185736574148294254618738688 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (.f64 y t) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)))) (-.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 -84999999999999994341862747816800420197697791691470227587572944739046135798823374553088 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 3299999999999999892313570097275281987128751171356541128017725108255362499981579494082250720292149905368140317134798132528619159022757934881875856464151177305568232043853632065503232 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y (/.f64 t (expm1.f64 z))))) (-.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 -84999999999999994341862747816800420197697791691470227587572944739046135798823374553088 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 3299999999999999892313570097275281987128751171356541128017725108255362499981579494082250720292149905368140317134798132528619159022757934881875856464151177305568232043853632065503232 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))))
(if (<=.f64 t #s(literal 125000000000000002485578104832 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (expm1.f64 z) t) y))) (-.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 y #s(approx (/ t (- (exp z) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) t (.f64 #s(literal 1/12 binary64) (.f64 t z))) z t) z)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y #s(approx (/ t (- (exp z) 1)) (/.f64 (fma.f64 (*.f64 t z) #s(literal -1/2 binary64) t) z)))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) t)))) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y)))))
(if (<=.f64 (+.f64 (.f64 y (exp.f64 z)) (-.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (/.f64 #s(literal 1 binary64) t) (.f64 y z)))) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) t))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 #s(literal 1 binary64) t) (.f64 y z))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 z y)) (neg.f64 t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 y z)) (neg.f64 t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (/ (- 0 (* t t)) (+ 0 t))) (*.f64 (neg.f64 y) (/.f64 z t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (/ (- 0 (* t t)) (+ 0 t))) (*.f64 (/.f64 (neg.f64 z) t) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 (neg.f64 y) t) z)))

soundness2.2s (10.8%)

Memory

-3.3MiB live, 1 010.0MiB allocated

Rules

15 880×	`lower-fma.f64`
15 880×	`lower-fma.f32`
8 196×	`lower-fma.f64`
8 196×	`lower-fma.f32`
7 700×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	364
0	78	364
1	323	358
2	2665	358
0	9250	342
0	1245	17540
1	3991	16685
0	8524	13894
0	335	2380
1	1012	2276
2	3164	2227
0	8211	1752
0	648	11594
1	2068	11148
2	6369	10977
0	8185	8869
0	12	45
0	19	45
1	73	45
2	593	45
3	7204	45
0	8984	38
0	606	11540
1	1971	11130
2	5886	10912
0	8151	9008
0	38	273
0	60	273
1	258	267
2	2142	267
0	8690	258

Stop Event

1×	fuel
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×	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

Compiler

Compiled 910 to 474 computations (47.9% saved)

preprocess96.0ms (0.5%)

Memory: 8.6MiB live, 283.2MiB allocated
Compiler: Compiled 840 to 278 computations (66.9% 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%)

analyze404.0ms (2%)

sample8.4s (41.5%)

explain345.0ms (1.7%)

preprocess260.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify48.0ms (0.2%)

localize152.0ms (0.7%)

series152.0ms (0.8%)

simplify220.0ms (1.1%)

rewrite670.0ms (3.3%)

eval141.0ms (0.7%)

prune294.0ms (1.5%)

simplify152.0ms (0.8%)

localize293.0ms (1.4%)

series179.0ms (0.9%)

simplify224.0ms (1.1%)

rewrite219.0ms (1.1%)

eval211.0ms (1%)

prune242.0ms (1.2%)

simplify128.0ms (0.6%)

localize324.0ms (1.6%)

series101.0ms (0.5%)

simplify363.0ms (1.8%)

rewrite335.0ms (1.7%)

eval202.0ms (1%)

prune258.0ms (1.3%)

simplify158.0ms (0.8%)

localize342.0ms (1.7%)

series100.0ms (0.5%)

simplify240.0ms (1.2%)

rewrite215.0ms (1.1%)

eval310.0ms (1.5%)

prune351.0ms (1.7%)

regimes199.0ms (1%)

regimes90.0ms (0.4%)

regimes73.0ms (0.4%)

regimes182.0ms (0.9%)

regimes52.0ms (0.3%)

regimes91.0ms (0.4%)

regimes156.0ms (0.8%)

regimes247.0ms (1.2%)

regimes117.0ms (0.6%)

regimes116.0ms (0.6%)

regimes33.0ms (0.2%)

regimes79.0ms (0.4%)

regimes22.0ms (0.1%)

regimes21.0ms (0.1%)

regimes14.0ms (0.1%)

regimes14.0ms (0.1%)

bsearch65.0ms (0.3%)

bsearch1.0ms (0%)

bsearch157.0ms (0.8%)

bsearch1.0ms (0%)

bsearch145.0ms (0.7%)

bsearch2.0ms (0%)

bsearch67.0ms (0.3%)

bsearch0.0ms (0%)

simplify14.0ms (0.1%)

soundness2.2s (10.8%)

preprocess96.0ms (0.5%)

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