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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze378.0ms (1.9%)

Memory

2.6MiB live, 500.9MiB 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)

sample8.1s (40.2%)

Memory

69.2MiB live, 5 587.9MiB allocated

Samples

3.5s	4 540×	1	valid
1.2s	1 713×	0	invalid
898.0ms	1 244×	5	exit
483.0ms	653×	1	invalid
457.0ms	3 716×	0	valid
246.0ms	372×	4	exit

Precisions

Click to see histograms. Total time spent on operations: 4.9s

ival-log: 1.3s (26.4% of total)

ival-exp: 1.3s (25.3% of total)

ival-mult: 1.1s (21.4% of total)

adjust: 590.0ms (11.9% of total)

ival-sub: 247.0ms (5% of total)

ival-add: 245.0ms (5% of total)

ival-div: 225.0ms (4.6% of total)

ival-true: 11.0ms (0.2% of total)

exact: 8.0ms (0.2% of total)

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

Bogosity

explain353.0ms (1.7%)

Memory

11.7MiB live, 556.2MiB 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

150.0ms	320×	1	valid
71.0ms	134×	2	valid
5.0ms	58×	0	valid

Compiler

Compiled 131 to 40 computations (69.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 191.0ms

ival-log: 67.0ms (35% of total)

adjust: 39.0ms (20.4% of total)

ival-exp: 39.0ms (20.4% of total)

ival-add: 20.0ms (10.5% of total)

ival-sub: 11.0ms (5.7% of total)

ival-div: 8.0ms (4.2% of total)

ival-mult: 6.0ms (3.1% of total)

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

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

exact: 0.0ms (0% of total)

preprocess262.0ms (1.3%)

Memory

7.8MiB live, 126.5MiB 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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune4.0ms (0%)

Memory

-34.6MiB live, 4.2MiB 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)

simplify34.0ms (0.2%)

Memory

15.9MiB live, 54.6MiB 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

localize180.0ms (0.9%)

Memory

-2.2MiB live, 140.8MiB 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

127.0ms	160×	1	valid
34.0ms	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: 144.0ms

ival-log: 106.0ms (73.5% of total)

ival-exp: 15.0ms (10.4% of total)

adjust: 7.0ms (4.9% of total)

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

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

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

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

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

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

exact: 0.0ms (0% of total)

series174.0ms (0.9%)

Memory

-8.2MiB live, 184.7MiB 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 (/ (log (- (+ 1 (* y (exp z))) y)) t)) (taylor 0 t) (#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 (/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) (taylor 0 t) (#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 (/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) (taylor 0 t) (#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 (/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) (taylor 0 t) (#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 (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor 0 t) (#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 (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor 0 t) (#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 (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor 0 t) (#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 (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor 0 t) (#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 x (taylor inf t) (#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 (+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) (taylor inf t) (#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 (+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) (taylor inf t) (#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 (+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) (taylor inf t) (#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 (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor inf t) (#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 (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor inf t) (#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 (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor inf t) (#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 (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor inf t) (#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 x (taylor -inf t) (#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 (+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) (taylor -inf t) (#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 (+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) (taylor -inf t) (#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 (+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) (taylor -inf t) (#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 (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor -inf t) (#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 (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor -inf t) (#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>) () ())) ())
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#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#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>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
71.0ms	t	@	0	((+ (- 1 y) (* y (exp z))) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z)))
34.0ms	z	@	-inf	((+ (- 1 y) (* y (exp z))) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z)))
26.0ms	t	@	inf	((+ (- 1 y) (* y (exp z))) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z)))
17.0ms	z	@	inf	((+ (- 1 y) (* y (exp z))) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z)))
9.0ms	t	@	-inf	((+ (- 1 y) (* y (exp z))) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z)))

simplify206.0ms (1%)

Memory

35.6MiB live, 212.6MiB 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	2420
1	1012	2316
2	3176	2227
0	8212	1752

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 149

Calls

Call 1

Inputs
(* -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)
(/ (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)
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)))
(/ (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)
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)))
(/ (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
(+ 1 (* y z))
(+ 1 (* z (+ y (* 1/2 (* y z)))))
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 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)))))))))))
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))))
(/ (* 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)))
y
(+ y (* y z))
(+ y (* z (+ y (* 1/2 (* y z)))))
(+ y (* 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)
(log (- (+ 1 (* y (exp z))) y))
(log (- (+ 1 (* y (exp z))) y))
(log (- (+ 1 (* y (exp z))) y))
(log (- (+ 1 (* y (exp z))) y))
(- 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))
(/ (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))
(- (+ 1 (* y (exp z))) y)
(- (+ 1 (* y (exp z))) y)
(- (+ 1 (* y (exp z))) y)
(- (+ 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))
(- 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))
(/ (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))
1
(+ 1 (* y (- (exp z) 1)))
(+ 1 (* y (- (exp z) 1)))
(+ 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))
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))))
(/ (* 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)))
(* y (exp z))
(* y (exp z))
(* y (exp z))
(* y (exp z))
(* y (- (exp z) 1))
(* y (- (+ (exp z) (/ 1 y)) 1))
(* y (- (+ (exp z) (/ 1 y)) 1))
(* y (- (+ (exp z) (/ 1 y)) 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)))))
(- 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)))))
(/ (+ (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))))))
(* y (exp z))
(* y (exp z))
(* y (exp z))
(* y (exp z))
(* -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))))
(+ (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))))
(- 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)))
(/ (+ (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 (exp z))
(* y (exp z))
(* y (exp z))
(* y (exp z))
(* -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)))

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

rewrite253.0ms (1.2%)

Memory

-32.6MiB live, 224.5MiB 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)))))
(.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))) (fma.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (pow.f64 (.f64 (-.f64 (.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) (.f64 (exp.f64 z) y)) #s(literal 3 binary64)))) (fma.f64 (.f64 (-.f64 (.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) (.f64 (exp.f64 z) y)) (-.f64 (.f64 (-.f64 (.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) (.f64 (exp.f64 z) y)) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))))
(.f64 (/.f64 (fma.f64 (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 (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 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)))
(*.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))))
(.f64 (fma.f64 (.f64 (exp.f64 (+.f64 z z)) y) y (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))) (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))))
(.f64 (/.f64 #s(literal 1 binary64) (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))))) (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 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 y) (exp.f64 z) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (neg.f64 y) (exp.f64 z) y) (fma.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (neg.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)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)))))
(.f64 (neg.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 #s(literal 1 binary64) (neg.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)))))))
(.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))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))))
(.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)))) (/.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)) (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))))))
(.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)))) (.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (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)))))))
(.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 #s(literal 1 binary64) (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))))))
(*.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)) (/.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))))
(.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)) (.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)))))
(*.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (pow.f64 (.f64 (exp.f64 z) y) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)))) (fma.f64 (.f64 (exp.f64 (+.f64 z z)) y) y (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (neg.f64 (pow.f64 (.f64 (exp.f64 z) y) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)))) (fma.f64 (.f64 (.f64 (exp.f64 (+.f64 z z)) y) y) (fma.f64 (.f64 (exp.f64 (+.f64 z z)) y) y (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (neg.f64 (pow.f64 (.f64 (exp.f64 z) y) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (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)))))) (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))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) y)) (pow.f64 (.f64 (exp.f64 z) y) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.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)))))) (fma.f64 (.f64 (.f64 (exp.f64 (.f64 z #s(literal 3 binary64))) (.f64 y y)) y) (-.f64 (.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))) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))))
(/.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))) #s(literal 1 binary64)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)))
(/.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))) #s(literal 1 binary64)) (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)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)))) (.f64 (.f64 (.f64 (exp.f64 (+.f64 z z)) y) (/.f64 y (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)))) (.f64 (.f64 (exp.f64 (+.f64 z z)) y) (/.f64 y (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)))))) (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))) (.f64 (.f64 (exp.f64 (+.f64 z z)) y) (/.f64 y (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))))))
(/.f64 (-.f64 (.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) (fma.f64 (exp.f64 z) y #s(literal 1 binary64))) (.f64 y y)) (+.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) y))
(/.f64 (-.f64 (.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) (fma.f64 (exp.f64 z) y #s(literal 1 binary64))) (.f64 y y)) (-.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) (neg.f64 y)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)) (fma.f64 (exp.f64 z) y (neg.f64 y)))) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y (neg.f64 y))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) #s(literal 3 binary64)) (.f64 (.f64 y y) y)) (fma.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) (fma.f64 y y (*.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (exp.f64 (+.f64 z z)) y) (/.f64 y (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 (exp.f64 (+.f64 z z)) y) (/.f64 y (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)))) (.f64 (.f64 (exp.f64 (+.f64 z z)) y) (/.f64 y (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)))) (.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))) (.f64 (*.f64 (exp.f64 (+.f64 z z)) y) (/.f64 y (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) #s(literal 3 binary64)) (.f64 (.f64 (neg.f64 y) y) y)) (fma.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) (-.f64 (.f64 y y) (.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) (neg.f64 y)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)) (fma.f64 (exp.f64 z) y (neg.f64 y))) (.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y (neg.f64 y))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 y) (exp.f64 z) y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 (exp.f64 (+.f64 z z)) y) y (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) y)))) (neg.f64 (-.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 y) (exp.f64 z) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 (neg.f64 y) (exp.f64 z) y) (fma.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 (.f64 (exp.f64 (+.f64 z z)) y)) y (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.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))))) (neg.f64 (neg.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)))))))
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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))

eval60.0ms (0.3%)

Memory: 17.1MiB live, 132.6MiB allocated
Compiler: Compiled 14 180 to 1 576 computations (88.9% saved)

prune91.0ms (0.4%)

Memory

0.2MiB live, 154.6MiB 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)

simplify179.0ms (0.9%)

Memory

7.9MiB live, 161.4MiB 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

localize775.0ms (3.8%)

Memory

-30.3MiB live, 299.6MiB 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

384.0ms	160×	1	valid
129.0ms	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: 483.0ms

ival-mult: 179.0ms (37.1% of total)

ival-sub: 148.0ms (30.6% of total)

ival-log: 72.0ms (14.9% of total)

adjust: 27.0ms (5.6% of total)

ival-div: 16.0ms (3.3% of total)

ival-exp: 16.0ms (3.3% of total)

ival-expm1: 15.0ms (3.1% of total)

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

ival-log1p: 4.0ms (0.8% of total)

ival-neg: 1.0ms (0.2% of total)

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

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

exact: 0.0ms (0% of total)

series393.0ms (1.9%)

Memory

-8.5MiB live, 476.7MiB 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 t) (#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 (/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) (taylor 0 t) (#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 (/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) (taylor 0 t) (#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 (/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) (taylor 0 t) (#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 (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor 0 t) (#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 (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor 0 t) (#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 (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor 0 t) (#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 (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor 0 t) (#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 (/ (* y (- (exp z) 1)) t) (taylor 0 t) (#s(alt (.f64 (/.f64 (expm1.f64 z) t) y) (patch (.f64 (/.f64 (expm1.f64 z) t) y) #<representation binary64>) () ())) ())
#s(alt (/ (* y (- (exp z) 1)) t) (taylor 0 t) (#s(alt (.f64 (/.f64 (expm1.f64 z) t) y) (patch (.f64 (/.f64 (expm1.f64 z) t) y) #<representation binary64>) () ())) ())
#s(alt (/ (* y (- (exp z) 1)) t) (taylor 0 t) (#s(alt (.f64 (/.f64 (expm1.f64 z) t) y) (patch (.f64 (/.f64 (expm1.f64 z) t) y) #<representation binary64>) () ())) ())
#s(alt (/ (* y (- (exp z) 1)) t) (taylor 0 t) (#s(alt (.f64 (/.f64 (expm1.f64 z) t) y) (patch (.f64 (/.f64 (expm1.f64 z) t) y) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp z) 1) t) (taylor 0 t) (#s(alt (/.f64 (expm1.f64 z) t) (patch (/.f64 (expm1.f64 z) t) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp z) 1) t) (taylor 0 t) (#s(alt (/.f64 (expm1.f64 z) t) (patch (/.f64 (expm1.f64 z) t) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp z) 1) t) (taylor 0 t) (#s(alt (/.f64 (expm1.f64 z) t) (patch (/.f64 (expm1.f64 z) t) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp z) 1) t) (taylor 0 t) (#s(alt (/.f64 (expm1.f64 z) t) (patch (/.f64 (expm1.f64 z) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) (taylor 0 t) (#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 (/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) (taylor 0 t) (#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>) () ())) ())
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#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#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>) () ())) ())
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#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#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>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
171.0ms	t	@	0	((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ y t) z) (/ y t) (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (* (/ (* (- y (* y y)) z) t) -1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (log (+ 1 (* (- (exp z) 1) y))) (- (exp z) 1) (/ (* (- y (* y y)) z) t) (* (- y (* y y)) z))
46.0ms	z	@	inf	((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ y t) z) (/ y t) (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (* (/ (* (- y (* y y)) z) t) -1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (log (+ 1 (* (- (exp z) 1) y))) (- (exp z) 1) (/ (* (- y (* y y)) z) t) (* (- y (* y y)) z))
41.0ms	t	@	-inf	((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ y t) z) (/ y t) (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (* (/ (* (- y (* y y)) z) t) -1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (log (+ 1 (* (- (exp z) 1) y))) (- (exp z) 1) (/ (* (- y (* y y)) z) t) (* (- y (* y y)) z))
35.0ms	z	@	-inf	((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ y t) z) (/ y t) (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (* (/ (* (- y (* y y)) z) t) -1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (log (+ 1 (* (- (exp z) 1) y))) (- (exp z) 1) (/ (* (- y (* y y)) z) t) (* (- y (* y y)) z))
30.0ms	t	@	inf	((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ y t) z) (/ y t) (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (* (/ (* (- y (* y y)) z) t) -1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (log (+ 1 (* (- (exp z) 1) y))) (- (exp z) 1) (/ (* (- y (* y y)) z) t) (* (- y (* y y)) z))

simplify187.0ms (0.9%)

Memory

26.4MiB live, 290.0MiB 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	11644
1	1970	11276
2	5873	10912
0	8137	9008

Stop Event

1×	iter limit
1×	node limit

Counts

768 → 731

Calls

Call 1

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

rewrite206.0ms (1%)

Memory

20.1MiB live, 293.0MiB 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)))
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(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 y y y) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) (/.f64 z t))) (neg.f64 (fma.f64 y y y)))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 (.f64 y y) (fma.f64 y y y) (.f64 y y)) (.f64 (-.f64 #s(literal 1 binary64) y) y)) (/.f64 z t))) (neg.f64 (fma.f64 (.f64 y y) (fma.f64 y y y) (*.f64 y y))))
(/.f64 (neg.f64 (.f64 (.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) #s(literal 1 binary64))) (neg.f64 t))
(/.f64 (neg.f64 (neg.f64 (.f64 (neg.f64 z) (.f64 (-.f64 #s(literal 1 binary64) y) y)))) (neg.f64 t))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 y y y) (.f64 (-.f64 #s(literal 1 binary64) y) y)) z)) (neg.f64 (.f64 (fma.f64 y y y) t)))
(/.f64 (neg.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)) (neg.f64 (.f64 (fma.f64 (.f64 y y) (fma.f64 y y y) (.f64 y y)) t)))
(/.f64 (/.f64 (.f64 (neg.f64 z) (.f64 (-.f64 #s(literal 1 binary64) y) y)) #s(literal -1 binary64)) t)
(/.f64 (.f64 (.f64 (fma.f64 y y y) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) (/.f64 z t)) (fma.f64 y y y))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 y y) (fma.f64 y y y) (.f64 y y)) (.f64 (-.f64 #s(literal 1 binary64) y) y)) (/.f64 z t)) (fma.f64 (.f64 y y) (fma.f64 y y y) (*.f64 y y)))
(/.f64 (.f64 (.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) #s(literal 1 binary64)) t)
(/.f64 (neg.f64 (.f64 (neg.f64 z) (.f64 (-.f64 #s(literal 1 binary64) y) y))) t)
(/.f64 (.f64 (.f64 (fma.f64 y y y) (.f64 (-.f64 #s(literal 1 binary64) y) y)) z) (.f64 (fma.f64 y y y) t))
(/.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) (.f64 (fma.f64 (.f64 y y) (fma.f64 y y y) (.f64 y y)) t))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 t (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) z)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 t (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) z))))
(/.f64 (.f64 (neg.f64 z) (.f64 (-.f64 #s(literal 1 binary64) y) y)) (neg.f64 t))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) z) t)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 t (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 t (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) z)))
(neg.f64 (/.f64 (.f64 (neg.f64 z) (.f64 (-.f64 #s(literal 1 binary64) y) y)) t))
(exp.f64 (.f64 (log.f64 (/.f64 t (.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z))) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) z)
(.f64 z (.f64 (-.f64 #s(literal 1 binary64) y) y))
(/.f64 (neg.f64 (.f64 z (.f64 (fma.f64 y y y) (*.f64 (-.f64 #s(literal 1 binary64) y) y)))) (neg.f64 (fma.f64 y y y)))
(/.f64 (neg.f64 (.f64 z (.f64 (fma.f64 (.f64 y y) (fma.f64 y y y) (.f64 y y)) (.f64 (-.f64 #s(literal 1 binary64) y) y)))) (neg.f64 (fma.f64 (.f64 y y) (fma.f64 y y y) (*.f64 y y))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 y y y) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) z)) (neg.f64 (fma.f64 y y y)))
(/.f64 (neg.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)) (neg.f64 (fma.f64 (.f64 y y) (fma.f64 y y y) (*.f64 y y))))
(/.f64 (.f64 z (.f64 (fma.f64 y y y) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) (fma.f64 y y y))
(/.f64 (.f64 z (.f64 (fma.f64 (.f64 y y) (fma.f64 y y y) (.f64 y y)) (.f64 (-.f64 #s(literal 1 binary64) y) y))) (fma.f64 (.f64 y y) (fma.f64 y y y) (*.f64 y y)))
(/.f64 (.f64 (.f64 (fma.f64 y y y) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) z) (fma.f64 y y y))
(/.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)))

eval268.0ms (1.3%)

Memory: -4.2MiB live, 383.5MiB allocated
Compiler: Compiled 29 866 to 2 664 computations (91.1% saved)

prune297.0ms (1.5%)

Memory

-8.2MiB live, 523.7MiB allocated

Pruning

32 alts after pruning (29 fresh and 3 done)

	Pruned	Kept	Total
New	1 423	25	1 448
Fresh	6	4	10
Picked	2	3	5
Done	0	0	0
Total	1 431	32	1 463

Accuracy

100.0%

Counts

1 463 → 32

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 #s(literal 1/2 binary64) (.f64 z y) 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 #s(literal 1/2 binary64) (.f64 (-.f64 y (*.f64 y y)) z) 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))))
▶	11.1%	#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)))
	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 z (/.f64 (.f64 (-.f64 y (.f64 y y)) z) t)) #s(literal -1/2 binary64))))
	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 1 070 to 624 computations (41.7% saved)

simplify138.0ms (0.7%)

Memory

14.9MiB live, 196.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

9 170×	`lower-fma.f32`
9 166×	`lower-fma.f64`
4 656×	`lower-*.f32`
4 638×	`lower-*.f64`
2 090×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	468
0	92	468
1	162	468
2	332	447
3	759	441
4	2416	441
5	7022	441
0	8189	410

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

localize264.0ms (1.3%)

Memory

16.7MiB live, 459.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.26156004927955206	(log1p.f64 #s(approx (* (- (exp z) 1) y) (*.f64 z y)))
accuracy	4.708232701807165	(/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (*.f64 z y))) (neg.f64 t))
accuracy	17.984397721632885	#s(approx (* (- (exp z) 1) y) (*.f64 z y))
accuracy	46.11704420015087	#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)))
accuracy	2.854828707673187	(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)
accuracy	4.313734322663339	(.f64 (-.f64 y (.f64 y y)) z)
accuracy	9.183030301201224	(/.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) z) #s(literal -1/2 binary64)) y) z) (*.f64 x t))
accuracy	18.389582587692473	#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)))
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 y)
accuracy	4.1240002111661305	(*.f64 (/.f64 (neg.f64 y) t) z)
accuracy	21.823969563608	#s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 (neg.f64 y) t) z))
accuracy	46.11704420015087	#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)))
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

159.0ms	193×	1	valid
34.0ms	31×	2	valid
32.0ms	32×	0	valid

Compiler

Compiled 322 to 48 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 175.0ms

ival-div: 37.0ms (21.1% of total)

ival-mult: 30.0ms (17.1% of total)

ival-log: 28.0ms (16% of total)

adjust: 18.0ms (10.3% of total)

ival-add: 16.0ms (9.1% of total)

ival-exp: 14.0ms (8% of total)

ival-expm1: 14.0ms (8% of total)

ival-sub: 12.0ms (6.8% of total)

ival-log1p: 3.0ms (1.7% of total)

ival-neg: 2.0ms (1.1% of total)

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

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

exact: 0.0ms (0% of total)

series216.0ms (1.1%)

Memory

8.1MiB live, 284.4MiB allocated

Counts

26 → 852

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

Calls

12 calls:

Time	Variable		Point	Expression
50.0ms	z	@	inf	((/ y (/ t (- (exp z) 1))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (/ t (- (exp z) 1)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (* (/ (neg y) t) z) (/ (neg y) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (+ (* (/ (* (- (* (* (- y (* y y)) z) -1/2) y) z) (* x t)) x) x) (- (* (* (- y (* y y)) z) -1/2) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- (exp z) 1) (neg y) (- (exp z) 1) (* (+ (* 1/2 z) 1) z) (/ (* (- (* (* (- y (* y y)) z) -1/2) y) z) (* x t)) (* (- y (* y y)) z))
23.0ms	t	@	-inf	((/ y (/ t (- (exp z) 1))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (/ t (- (exp z) 1)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (* (/ (neg y) t) z) (/ (neg y) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (+ (* (/ (* (- (* (* (- y (* y y)) z) -1/2) y) z) (* x t)) x) x) (- (* (* (- y (* y y)) z) -1/2) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- (exp z) 1) (neg y) (- (exp z) 1) (* (+ (* 1/2 z) 1) z) (/ (* (- (* (* (- y (* y y)) z) -1/2) y) z) (* x t)) (* (- y (* y y)) z))
22.0ms	t	@	inf	((/ y (/ t (- (exp z) 1))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (/ t (- (exp z) 1)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (* (/ (neg y) t) z) (/ (neg y) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (+ (* (/ (* (- (* (* (- y (* y y)) z) -1/2) y) z) (* x t)) x) x) (- (* (* (- y (* y y)) z) -1/2) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- (exp z) 1) (neg y) (- (exp z) 1) (* (+ (* 1/2 z) 1) z) (/ (* (- (* (* (- y (* y y)) z) -1/2) y) z) (* x t)) (* (- y (* y y)) z))
19.0ms	t	@	0	((/ y (/ t (- (exp z) 1))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (/ t (- (exp z) 1)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (* (/ (neg y) t) z) (/ (neg y) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (+ (* (/ (* (- (* (* (- y (* y y)) z) -1/2) y) z) (* x t)) x) x) (- (* (* (- y (* y y)) z) -1/2) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- (exp z) 1) (neg y) (- (exp z) 1) (* (+ (* 1/2 z) 1) z) (/ (* (- (* (* (- y (* y y)) z) -1/2) y) z) (* x t)) (* (- y (* y y)) z))
18.0ms	z	@	-inf	((/ y (/ t (- (exp z) 1))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (/ t (- (exp z) 1)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (* (/ (neg y) t) z) (/ (neg y) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (+ (* (/ (* (- (* (* (- y (* y y)) z) -1/2) y) z) (* x t)) x) x) (- (* (* (- y (* y y)) z) -1/2) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- (exp z) 1) (neg y) (- (exp z) 1) (* (+ (* 1/2 z) 1) z) (/ (* (- (* (* (- y (* y y)) z) -1/2) y) z) (* x t)) (* (- y (* y y)) z))

simplify246.0ms (1.2%)

Memory

-31.6MiB live, 151.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 356×	`lower-fma.f64`
8 356×	`lower-fma.f32`
5 286×	`lower-*.f64`
5 286×	`lower-*.f32`
3 460×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	680	12590
1	2230	12241
2	6968	11890
0	8166	9907

Stop Event

1×	iter limit
1×	node limit

Counts

852 → 807

Calls

Call 1

Inputs
(/ (* 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))
(/ (- (* 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)
(/ (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)
(/ t (- (exp z) 1))
(/ t (- (exp z) 1))
(/ t (- (exp z) 1))
(/ t (- (exp z) 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)
(* -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 z) t))
(* -1 (/ (* y z) t))
(* -1 (/ (* y z) t))
(* -1 (/ (* y z) t))
(* -1 (/ y t))
(* -1 (/ y t))
(* -1 (/ y t))
(* -1 (/ 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)
(/ (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 (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (- (exp z) 1) t)
(/ (- (exp z) 1) t)
(/ (- (exp z) 1) t)
(/ (- (exp z) 1) t)
(/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) t)
(/ (+ (* t x) (* z (- (* -1/2 (* z (- y (pow y 2)))) y))) t)
(/ (+ (* t x) (* z (- (* -1/2 (* z (- y (pow y 2)))) y))) t)
(/ (+ (* t x) (* z (- (* -1/2 (* z (- y (pow y 2)))) 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)
(/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) t)
(/ (+ (* t x) (* z (- (* -1/2 (* z (- y (pow y 2)))) y))) t)
(/ (+ (* t x) (* z (- (* -1/2 (* z (- y (pow y 2)))) y))) t)
(/ (+ (* t x) (* z (- (* -1/2 (* z (- y (pow y 2)))) 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)
(* -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))
(/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) (* t x))
(/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) (* t x))
(/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) (* t x))
(/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) (* t x))
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) 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)))
(/ (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)
(/ t (- (exp z) 1))
(/ t (- (exp z) 1))
(/ t (- (exp z) 1))
(/ t (- (exp z) 1))
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 (/ (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 z) t))
(* -1 (/ (* y z) t))
(* -1 (/ (* y z) t))
(* -1 (/ (* y z) t))
(* -1 (/ y t))
(* -1 (/ y t))
(* -1 (/ y t))
(* -1 (/ 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)))
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(+ (* -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)))
(+ (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))))
(* y (- (exp z) 1))
(* y (- (exp z) 1))
(* y (- (exp z) 1))
(* y (- (exp z) 1))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* 1/2 (/ (* (pow y 2) (pow z 2)) (* t x)))
(* (pow y 2) (+ (* -1 (/ (* z (+ 1 (* 1/2 z))) (* t (* x y)))) (* 1/2 (/ (pow z 2) (* t x)))))
(* (pow y 2) (+ (* -1 (/ (* z (+ 1 (* 1/2 z))) (* t (* x y)))) (* 1/2 (/ (pow z 2) (* t x)))))
(* (pow y 2) (+ (* -1 (/ (* z (+ 1 (* 1/2 z))) (* t (* x y)))) (* 1/2 (/ (pow z 2) (* t x)))))
(* -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 (/ (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))
(- 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))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) t)
(+ x (/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) t))
(+ x (/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) t))
(+ x (/ (* z (- (* -1/2 (* z (- y (pow y 2)))) 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))
(* z (- (* -1/2 (/ (* z (- y (pow y 2))) t)) (/ y t)))
(+ x (* z (- (* -1/2 (/ (* z (- y (pow y 2))) t)) (/ y t))))
(+ x (* z (- (* -1/2 (/ (* z (- y (pow y 2))) t)) (/ y t))))
(+ x (* z (- (* -1/2 (/ (* z (- y (pow y 2))) t)) (/ 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))
(/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) (* t x))
(/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) (* t x))
(/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) (* t x))
(/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) (* t x))
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
(* 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
(* 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
(* x (+ 1 (/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) (* t x))))
(* x (+ 1 (/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) (* t x))))
(* x (+ 1 (/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) (* t x))))
x
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
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x
(* x (+ 1 (/ (* z (- (* -1/2 (/ (* z (- y (pow y 2))) t)) (/ y t))) x)))
(* x (+ 1 (/ (* z (- (* -1/2 (/ (* z (- y (pow y 2))) t)) (/ y t))) x)))
(* x (+ 1 (/ (* z (- (* -1/2 (/ (* z (- y (pow y 2))) t)) (/ y t))) x)))
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)))))
(/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) (* t x))
(/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) (* t x))
(/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) (* t x))
(/ (* z (- (* -1/2 (* z (- y (pow y 2)))) 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
(* -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
(* -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
(* -1 (* x (- (* -1 (/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) (* t x))) 1)))
(* -1 (* x (- (* -1 (/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) (* t x))) 1)))
(* -1 (* x (- (* -1 (/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) (* t x))) 1)))
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
(* -1 (* x (- (* -1 (/ (* z (- (* -1/2 (/ (* z (- y (pow y 2))) t)) (/ y t))) x)) 1)))
(* -1 (* x (- (* -1 (/ (* z (- (* -1/2 (/ (* z (- y (pow y 2))) t)) (/ y t))) x)) 1)))
(* -1 (* x (- (* -1 (/ (* z (- (* -1/2 (/ (* z (- y (pow y 2))) t)) (/ y t))) x)) 1)))
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)))
(/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) (* t x))
(/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) (* t x))
(/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) (* t x))
(/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) (* t x))

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

rewrite261.0ms (1.3%)

Memory

19.3MiB live, 214.1MiB allocated

Rules

5 150×	`lower-*.f32`
5 132×	`lower-*.f64`
4 100×	`lower-/.f32`
4 088×	`lower-/.f64`
3 770×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	405
0	92	405
1	368	401
2	2874	401
0	8708	388

Stop Event

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

Counts

26 → 383

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

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

eval378.0ms (1.9%)

Memory: 4.0MiB live, 303.0MiB allocated
Compiler: Compiled 23 504 to 1 886 computations (92% saved)

prune234.0ms (1.2%)

Memory

10.5MiB live, 340.9MiB allocated

Pruning

40 alts after pruning (35 fresh and 5 done)

	Pruned	Kept	Total
New	1 170	20	1 190
Fresh	9	15	24
Picked	3	2	5
Done	0	3	3
Total	1 182	40	1 222

Accuracy

100.0%

Counts

1 222 → 40

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))))
	81.8%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y #s(approx (/ t (- (exp z) 1)) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) t) z (.f64 #s(literal -1/2 binary64) t)) z t) z)))))
	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)))))
▶	81.6%	(-.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)))
	44.6%	(.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)))
	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 #s(literal 1/2 binary64) (.f64 (-.f64 y (*.f64 y y)) z) 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)))
	16.5%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 t) (log1p.f64 #s(approx (* (- (exp z) 1) y) (*.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))))
	16.6%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx ( (- (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 z (/.f64 (neg.f64 t) y))))
	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 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) y)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y)))) t) z)))
	8.6%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 t y)) (.f64 t #s(literal 1 binary64))) (.f64 t (/.f64 t y))) z)))
	7.5%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) t) (.f64 t y)) (.f64 t t)) z)))
✓	11.1%	#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)))
	12.8%	#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) z) (/.f64 #s(literal 1 binary64) t))))
	11.1%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (.f64 (.f64 y (/.f64 #s(literal -1 binary64) t)) z)))
▶	12.5%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 z t))))
	12.5%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (.f64 (neg.f64 y) (.f64 (/.f64 #s(literal 1 binary64) t) z))))
	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 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) t) (*.f64 z y) x)))
	65.4%	#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 #s(approx (- ( (* (- y (* y y)) z) -1/2) y) (.f64 (fma.f64 z (fma.f64 #s(literal 1/2 binary64) y #s(literal -1/2 binary64)) #s(literal -1 binary64)) y)) z) (.f64 x t)) x x)))
	71.7%	#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 #s(approx (- ( (* (- y (* y y)) z) -1/2) y) (neg.f64 y)) z) (*.f64 x t)) x x)))
	56.8%	#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 (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) (neg.f64 y)) x)) (/.f64 x t) x)))
	69.1%	#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 #s(approx (/ (* (- (* (* (- y (* y y)) z) -1/2) y) z) (* x t)) (.f64 (neg.f64 z) (/.f64 y (.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 1 319 to 765 computations (42% saved)

simplify196.0ms (1%)

Memory

6.1MiB live, 279.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.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)
cost-diff	0	(-.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))
cost-diff	128	(.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64))
cost-diff	320	(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)))
cost-diff	0	#s(approx (/ t (- (exp z) 1)) (/.f64 (fma.f64 (*.f64 t z) #s(literal -1/2 binary64) t) z))
cost-diff	0	(/.f64 y #s(approx (/ t (- (exp z) 1)) (/.f64 (fma.f64 (*.f64 t z) #s(literal -1/2 binary64) t) z)))
cost-diff	0	#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))))
cost-diff	0	(-.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)))))
cost-diff	0	(/.f64 t y)
cost-diff	0	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y)))
cost-diff	0	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y))))
cost-diff	384	(/.f64 z (/.f64 t y))
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 (neg.f64 y) (/.f64 z t))
cost-diff	0	#s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 z 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 y) (/.f64 z 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

18 990×	`lower-fma.f32`
18 980×	`lower-fma.f64`
3 668×	`lower-*.f32`
3 654×	`lower-*.f64`
3 508×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	513
0	91	513
1	163	513
2	374	485
3	938	485
4	2416	485
5	6409	485
0	8387	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 y) (/.f64 z t))))
#s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 z t)))
(*.f64 (neg.f64 y) (/.f64 z t))
(neg.f64 y)
y
(/.f64 z t)
z
t
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y))))
x
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y)))
(/.f64 z (/.f64 t y))
z
(/.f64 t y)
t
y
(-.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)))))
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 y #s(approx (/ t (- (exp z) 1)) (/.f64 (fma.f64 (*.f64 t z) #s(literal -1/2 binary64) t) z)))
y
#s(approx (/ t (- (exp z) 1)) (/.f64 (fma.f64 (*.f64 t z) #s(literal -1/2 binary64) t) z))
(/.f64 (fma.f64 (*.f64 t z) #s(literal -1/2 binary64) t) z)
(fma.f64 (*.f64 t z) #s(literal -1/2 binary64) t)
(*.f64 t z)
t
z
#s(literal -1/2 binary64)
(-.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))
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)
#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))
(.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)
(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)
(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)))
(*.f64 #s(literal 1/6 binary64) z)
#s(literal 1/6 binary64)
z
(fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y)
(*.f64 y y)
y
(fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64))
#s(literal 2 binary64)
#s(literal -3 binary64)
(.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64))
(-.f64 y (*.f64 y y))
#s(literal 1/2 binary64)
t

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

localize326.0ms (1.6%)

Memory

-4.1MiB live, 700.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	4.122675845866	(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)
accuracy	4.708232701807165	(/.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)
accuracy	9.527295983543615	(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)))
accuracy	22.572314816049246	#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))
accuracy	3.4421422314549694	(/.f64 y #s(approx (/ t (- (exp z) 1)) (/.f64 (fma.f64 (*.f64 t z) #s(literal -1/2 binary64) t) z)))
accuracy	3.534863379380211	(/.f64 (fma.f64 (*.f64 t z) #s(literal -1/2 binary64) t) z)
accuracy	11.168059124262701	#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))))
accuracy	15.263080690130598	#s(approx (/ t (- (exp z) 1)) (/.f64 (fma.f64 (*.f64 t z) #s(literal -1/2 binary64) t) z))
accuracy	0	(/.f64 t y)
accuracy	0	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y))))
accuracy	4.224631260618234	(/.f64 z (/.f64 t y))
accuracy	21.823969563608	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y)))
accuracy	0	(neg.f64 y)
accuracy	5.924727885489353	(*.f64 (neg.f64 y) (/.f64 z t))
accuracy	21.823969563608	#s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 z 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 y) (/.f64 z 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

253.0ms	226×	1	valid
10.0ms	29×	0	valid
1.0ms	1×	2	valid

Compiler

Compiled 356 to 51 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 187.0ms

ival-log: 42.0ms (22.4% of total)

ival-mult: 37.0ms (19.8% of total)

ival-div: 27.0ms (14.4% of total)

adjust: 25.0ms (13.4% of total)

ival-exp: 17.0ms (9.1% of total)

ival-add: 11.0ms (5.9% of total)

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

ival-expm1: 5.0ms (2.7% of total)

const: 5.0ms (2.7% of total)

ival-neg: 4.0ms (2.1% of total)

ival-log1p: 3.0ms (1.6% of total)

exact: 1.0ms (0.5% of total)

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

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

series279.0ms (1.4%)

Memory

2.3MiB live, 466.3MiB allocated

Counts

24 → 780

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

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

Calls

12 calls:

Time	Variable		Point	Expression
57.0ms	y	@	-inf	((/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ t (log (+ (- 1 y) (* y (exp z))))) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (* (neg y) (/ z t)) (neg y) (/ z (/ t y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (/ t y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (/ y (/ t (- (exp z) 1))) (/ t (- (exp z) 1)) (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (- (exp z) 1) y) (/ (+ (* (* t z) -1/2) t) z) (log (+ (- 1 y) (* y (exp z)))) (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y))
43.0ms	z	@	-inf	((/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ t (log (+ (- 1 y) (* y (exp z))))) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (* (neg y) (/ z t)) (neg y) (/ z (/ t y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (/ t y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (/ y (/ t (- (exp z) 1))) (/ t (- (exp z) 1)) (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (- (exp z) 1) y) (/ (+ (* (* t z) -1/2) t) z) (log (+ (- 1 y) (* y (exp z)))) (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y))
34.0ms	t	@	inf	((/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ t (log (+ (- 1 y) (* y (exp z))))) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (* (neg y) (/ z t)) (neg y) (/ z (/ t y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (/ t y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (/ y (/ t (- (exp z) 1))) (/ t (- (exp z) 1)) (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (- (exp z) 1) y) (/ (+ (* (* t z) -1/2) t) z) (log (+ (- 1 y) (* y (exp z)))) (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y))
31.0ms	z	@	inf	((/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ t (log (+ (- 1 y) (* y (exp z))))) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (* (neg y) (/ z t)) (neg y) (/ z (/ t y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (/ t y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (/ y (/ t (- (exp z) 1))) (/ t (- (exp z) 1)) (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (- (exp z) 1) y) (/ (+ (* (* t z) -1/2) t) z) (log (+ (- 1 y) (* y (exp z)))) (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y))
26.0ms	t	@	-inf	((/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ t (log (+ (- 1 y) (* y (exp z))))) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (* (neg y) (/ z t)) (neg y) (/ z (/ t y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (/ t y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (/ y (/ t (- (exp z) 1))) (/ t (- (exp z) 1)) (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (- (exp z) 1) y) (/ (+ (* (* t z) -1/2) t) z) (log (+ (- 1 y) (* y (exp z)))) (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y))

simplify234.0ms (1.2%)

Memory

6.0MiB live, 302.4MiB allocated

Algorithm

1×	egg-herbie

Rules

9 356×	`lower-fma.f64`
9 356×	`lower-fma.f32`
6 746×	`lower-*.f64`
6 746×	`lower-*.f32`
4 388×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	762	12691
1	2453	12155
0	8458	9860

Stop Event

1×	iter limit
1×	node limit

Counts

780 → 749

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)
(* -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)
(/ 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)))
(* -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)
(* -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 z) t))
(* -1 (/ (* y z) t))
(* -1 (/ (* y z) t))
(* -1 (/ (* y z) t))
(/ (* y z) t)
(/ (* y z) t)
(/ (* y z) t)
(/ (* y z) 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)
(/ (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)
(/ t y)
(/ t y)
(/ t y)
(/ t y)
(* -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)
(/ (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 (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ t (- (exp z) 1))
(/ t (- (exp z) 1))
(/ t (- (exp z) 1))
(/ t (- (exp z) 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)
(/ (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)
(/ (* t (+ 1 (* -1/2 z))) z)
(/ (* t (+ 1 (* -1/2 z))) z)
(/ (* t (+ 1 (* -1/2 z))) z)
(/ (* t (+ 1 (* -1/2 z))) z)
(/ (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)
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)))
(/ 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)))
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 (/ (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 z) t))
(* -1 (/ (* y z) t))
(* -1 (/ (* y z) t))
(* -1 (/ (* y z) t))
(/ (* y z) t)
(/ (* y z) t)
(/ (* y z) t)
(/ (* y z) 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)))
(/ (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)
(/ t y)
(/ t y)
(/ t y)
(/ t y)
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)))
(/ (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 (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ t (- (exp z) 1))
(/ t (- (exp z) 1))
(/ t (- (exp z) 1))
(/ t (- (exp z) 1))
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)))
(/ (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)
(/ (* t (+ 1 (* -1/2 z))) z)
(/ (* t (+ 1 (* -1/2 z))) z)
(/ (* t (+ 1 (* -1/2 z))) z)
(/ (* t (+ 1 (* -1/2 z))) z)
(/ (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)
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)))
(/ 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)))
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 (/ (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 z) t))
(* -1 (/ (* y z) t))
(* -1 (/ (* y z) t))
(* -1 (/ (* y z) t))
(/ (* y z) t)
(/ (* y z) t)
(/ (* y z) t)
(/ (* y z) 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)))
(/ (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)
(/ t y)
(/ t y)
(/ t y)
(/ t y)
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)))
(/ (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 (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ t (- (exp z) 1))
(/ t (- (exp z) 1))
(/ t (- (exp z) 1))
(/ t (- (exp z) 1))
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)))
(/ (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 (/ (* t (- (* 1/2 z) 1)) z))
(* -1 (/ (* t (- (* 1/2 z) 1)) z))
(* -1 (/ (* t (- (* 1/2 z) 1)) z))
(* -1 (/ (* t (- (* 1/2 z) 1)) z))
(/ (* 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)))
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))))
(/ 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)
(* 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)))))))))))
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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(- x (/ (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))
(* -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))
(* -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
(* 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
(* 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
(* 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
(* 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
(* -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
(* -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
(* -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
(* -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)))

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

rewrite287.0ms (1.4%)

Memory

3.7MiB live, 316.8MiB allocated

Rules

4 928×	`lower-*.f32`
4 914×	`lower-*.f64`
4 434×	`lower-/.f32`
4 418×	`lower-/.f64`
3 526×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	425
0	91	425
1	391	421
2	3131	421
0	9325	405

Stop Event

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

Counts

24 → 513

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 y) (/.f64 z t))))
#s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 z t)))
(*.f64 (neg.f64 y) (/.f64 z t))
(neg.f64 y)
(/.f64 z (/.f64 t y))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y))))
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y)))
(/.f64 t y)
(-.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 (/ (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 y #s(approx (/ t (- (exp z) 1)) (/.f64 (fma.f64 (*.f64 t z) #s(literal -1/2 binary64) t) z)))
#s(approx (/ t (- (exp z) 1)) (/.f64 (fma.f64 (*.f64 t z) #s(literal -1/2 binary64) t) z))
(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)))
(.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64))
(-.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 #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 (expm1.f64 z) y)
(/.f64 (fma.f64 (*.f64 t z) #s(literal -1/2 binary64) t) z)
#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))
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Outputs
(.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)))
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(.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (*.f64 (expm1.f64 z) y))))
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(.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 #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 (neg.f64 (.f64 #s(literal 1 binary64) #s(approx (log (+ (- 1 y) ( y (exp z)))) (*.f64 (expm1.f64 z) y)))) (neg.f64 t))
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(.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (*.f64 (expm1.f64 z) y)) t))))
(.f64 (-.f64 (.f64 (.f64 x x) x) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 (expm1.f64 z) y)) t) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (*.f64 (expm1.f64 z) y)) t))))))
(pow.f64 (/.f64 (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (expm1.f64 z) y)) t)) (-.f64 (.f64 x x) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x x (.f64 (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 (expm1.f64 z) y)) t)))) (-.f64 (.f64 (.f64 x x) x) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (*.f64 (expm1.f64 z) y)) t) #s(literal 3 binary64)))) #s(literal -1 binary64))
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(/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64))) (-.f64 x (neg.f64 (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (*.f64 (expm1.f64 z) y)) t))))
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(/.f64 (-.f64 (.f64 (.f64 x x) x) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (expm1.f64 z) y)) t) #s(literal 3 binary64))) (fma.f64 x x (.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (*.f64 (expm1.f64 z) y)) t)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (expm1.f64 z) y)) t)) (-.f64 (.f64 x x) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64))))))
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eval197.0ms (1%)

Memory: 7.7MiB live, 317.7MiB allocated
Compiler: Compiled 35 558 to 2 797 computations (92.1% saved)

prune265.0ms (1.3%)

Memory

19.3MiB live, 401.3MiB allocated

Pruning

45 alts after pruning (37 fresh and 8 done)

	Pruned	Kept	Total
New	1 246	16	1 262
Fresh	9	21	30
Picked	2	3	5
Done	0	5	5
Total	1 257	45	1 302

Accuracy

100.0%

Counts

1 302 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.1%	(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) z (.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z y) z)) (/.f64 #s(literal -1 binary64) t) x)
	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))
	63.1%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t))
	62.1%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) 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)))
	52.9%	(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) z) (/.f64 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))))
	57.7%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 y)) (.f64 (neg.f64 y) t)) (*.f64 y y)))))
	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 (.f64 #s(literal 1/12 binary64) t) z (.f64 #s(literal -1/2 binary64) t)) z t) z)))))
	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 t #s(literal -1/24 binary64))) z (.f64 #s(literal -1/12 binary64) t))) z (*.f64 #s(literal -1/2 binary64) t)) z t) z)))))
	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)))))
	52.1%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y #s(approx (/ t (- (exp z) 1)) (/.f64 (fma.f64 (.f64 (.f64 z t) (.f64 z t)) #s(literal 1/4 binary64) (neg.f64 (.f64 t t))) (.f64 z (fma.f64 #s(literal -1/2 binary64) (.f64 z t) (neg.f64 t))))))))
✓	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)))))
	81.5%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y #s(approx (/ t (- (exp z) 1)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 z t) t) (/.f64 #s(literal 1 binary64) z))))))
	81.2%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y #s(approx (/ t (- (exp z) 1)) #s(approx (/ (+ (* (* t z) -1/2) t) z) (fma.f64 #s(literal -1/2 binary64) t (/.f64 t z)))))))
	62.1%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y #s(approx (/ t (- (exp z) 1)) #s(approx (/ (+ (* (* t z) -1/2) t) z) (*.f64 #s(literal -1/2 binary64) t))))))
	81.5%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ t (- (exp z) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z t) t) z)) 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)))
	75.2%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y)))
✓	74.5%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
	81.5%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ t (- (exp z) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 z t) t) z))) y)))
	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)))
✓	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)))
	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)))
	16.5%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 t) (log1p.f64 #s(approx (* (- (exp z) 1) y) (*.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))))
	16.6%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx ( (- (exp z) 1) y) (*.f64 z y)))))
	12.6%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 (neg.f64 y) (/.f64 t z))))
	11.1%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 z (/.f64 (neg.f64 t) y))))
	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 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) y)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y)))) t) z)))
✓	11.1%	#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)))
	12.8%	#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) z) (/.f64 #s(literal 1 binary64) t))))
	11.1%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (.f64 (.f64 y (/.f64 #s(literal -1 binary64) t)) z)))
✓	12.5%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 z t))))
	12.5%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (.f64 (neg.f64 y) (.f64 (/.f64 #s(literal 1 binary64) t) z))))
	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 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) t) (*.f64 z y) x)))
	65.4%	#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 #s(approx (- ( (* (- y (* y y)) z) -1/2) y) (.f64 (fma.f64 z (fma.f64 #s(literal 1/2 binary64) y #s(literal -1/2 binary64)) #s(literal -1 binary64)) y)) z) (.f64 x t)) x x)))
	56.8%	#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 (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) (neg.f64 y)) x)) (/.f64 x t) x)))

Compiler

Compiled 1 980 to 828 computations (58.2% saved)

regimes239.0ms (1.2%)

Memory

-23.4MiB live, 348.2MiB allocated

Counts

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

43.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
29.0ms	(exp.f64 z)
29.0ms	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
28.0ms	x
23.0ms	y

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)

regimes85.0ms (0.4%)

Memory

13.1MiB live, 166.3MiB allocated

Counts

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

23.0ms	z
22.0ms	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
18.0ms	(exp.f64 z)
18.0ms	(+.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)

regimes118.0ms (0.6%)

Memory

17.2MiB live, 90.8MiB allocated

Counts

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

76.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
22.0ms	y
16.0ms	(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)

regimes192.0ms (0.9%)

Memory

17.6MiB live, 211.6MiB allocated

Counts

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

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)))
40.0ms	y
22.0ms	x
20.0ms	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
16.0ms	(/.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)

regimes79.0ms (0.4%)

Memory

-30.8MiB live, 105.1MiB allocated

Counts

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

34.0ms	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
20.0ms	y
15.0ms	(+.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)

regimes51.0ms (0.3%)

Memory

-6.8MiB live, 74.0MiB allocated

Counts

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

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:

27.0ms	y
21.0ms	t

Results

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

Compiler

Compiled 10 to 8 computations (20% saved)

regimes160.0ms (0.8%)

Memory

17.5MiB live, 252.0MiB allocated

Counts

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

51.0ms	y
19.0ms	z
18.0ms	x
17.0ms	(exp.f64 z)
17.0ms	t

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)

regimes242.0ms (1.2%)

Memory

-50.4MiB live, 219.7MiB allocated

Counts

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

Calls

9 calls:

62.0ms	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
43.0ms	y
37.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
17.0ms	t
17.0ms	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))

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)

regimes134.0ms (0.7%)

Memory

3.0MiB live, 114.2MiB allocated

Counts

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

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:

38.0ms	y
19.0ms	t
11.0ms	x
11.0ms	z
11.0ms	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))

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)

regimes105.0ms (0.5%)

Memory

11.4MiB live, 95.0MiB allocated

Counts

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

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

Calls

9 calls:

30.0ms	t
15.0ms	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
9.0ms	y
9.0ms	x
9.0ms	z

Results

Accuracy	Segments	Branch
81.2%	1	`x`
81.2%	1	`t`
81.2%	1	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
81.2%	1	`z`
81.2%	1	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
81.2%	1	`y`
81.2%	1	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
81.2%	1	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
81.2%	1	`(exp.f64 z)`

Compiler

Compiled 83 to 63 computations (24.1% saved)

regimes141.0ms (0.7%)

Memory

-1.7MiB live, 115.6MiB allocated

Counts

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

Outputs

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

Calls

9 calls:

41.0ms	x
29.0ms	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
27.0ms	z
8.0ms	t
8.0ms	y

Results

Accuracy	Segments	Branch
77.4%	2	`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))`
81.2%	2	`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)))`
81.2%	2	`(exp.f64 z)`

Compiler

Compiled 83 to 63 computations (24.1% saved)

regimes36.0ms (0.2%)

Memory

-3.7MiB live, 33.8MiB allocated

Counts

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

Outputs

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

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

Calls

2 calls:

29.0ms	z
5.0ms	(exp.f64 z)

Results

Accuracy	Segments	Branch
81.1%	2	`z`
81.1%	2	`(exp.f64 z)`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes11.0ms (0.1%)

Memory

33.0MiB live, 33.0MiB allocated

Counts

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

Outputs

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

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

Calls

2 calls:

5.0ms	z
4.0ms	(exp.f64 z)

Results

Accuracy	Segments	Branch
81.1%	2	`z`
81.1%	2	`(exp.f64 z)`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes87.0ms (0.4%)

Memory

-15.2MiB live, 58.9MiB allocated

Counts

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

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

Calls

9 calls:

44.0ms	y
25.0ms	(exp.f64 z)
3.0ms	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
3.0ms	x
3.0ms	z

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	`y`
75.2%	1	`(-.f64 x (/.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	`x`
75.2%	1	`z`
75.2%	1	`(exp.f64 z)`

Compiler

Compiled 83 to 63 computations (24.1% saved)

regimes39.0ms (0.2%)

Memory

-1.2MiB live, 45.9MiB 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 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 (/.f64 (neg.f64 y) t) 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)))

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:

24.0ms	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
2.0ms	z
2.0ms	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
2.0ms	t
2.0ms	y

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)

regimes37.0ms (0.2%)

Memory

1.2MiB live, 40.0MiB allocated

Accuracy

Total -1.4b remaining (-2.6%)

Threshold costs -1.4b (-2.6%)

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 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 (/.f64 (neg.f64 y) t) z)))

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

Calls

9 calls:

24.0ms	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
2.0ms	x
2.0ms	t
2.0ms	y
2.0ms	z

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)

bsearch120.0ms (0.6%)

Memory

10.7MiB live, 87.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
54.0ms	1.0368963567940637e-61	1.1959121822636576e-58
62.0ms	-6.726478851589988e-10	-3.532623480676736e-10

Samples

70.0ms	84×	1	valid
27.0ms	32×	1	invalid
10.0ms	108×	0	valid
1.0ms	11×	0	invalid

Compiler

Compiled 424 to 267 computations (37% saved)

Precisions

Click to see histograms. Total time spent on operations: 99.0ms

ival-mult: 51.0ms (51.7% of total)

ival-log: 30.0ms (30.4% of total)

ival-exp: 7.0ms (7.1% of total)

ival-sub: 4.0ms (4.1% of total)

adjust: 3.0ms (3% of total)

ival-div: 3.0ms (3% of total)

ival-add: 2.0ms (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

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	1042562.6008785865

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch146.0ms (0.7%)

Memory

5.0MiB live, 125.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
76.0ms	5.222545797016877e+178	1.0688281773856562e+181
64.0ms	-5.300584314239234e+177	-7.960083667297407e+175

Samples

72.0ms	175×	1	valid
29.0ms	49×	0	valid
12.0ms	48×	1	invalid
5.0ms	73×	0	invalid

Compiler

Compiled 517 to 355 computations (31.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 105.0ms

ival-exp: 30.0ms (28.5% of total)

ival-div: 29.0ms (27.6% of total)

ival-sub: 19.0ms (18.1% of total)

ival-log: 15.0ms (14.3% of total)

adjust: 5.0ms (4.8% of total)

ival-mult: 4.0ms (3.8% of total)

ival-add: 3.0ms (2.9% 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

3.2MiB live, 3.2MiB 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)

bsearch200.0ms (1%)

Memory

-7.5MiB live, 110.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
54.0ms	5.222545797016877e+178	1.0688281773856562e+181
64.0ms	-8.896974845934046e+85	-3.9133526086687896e+74

Samples

62.0ms	148×	1	valid
39.0ms	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: 97.0ms

ival-log: 60.0ms (61.5% of total)

ival-exp: 20.0ms (20.5% of total)

ival-sub: 4.0ms (4.1% of total)

adjust: 4.0ms (4.1% of total)

ival-div: 3.0ms (3.1% of total)

ival-mult: 3.0ms (3.1% of total)

ival-add: 2.0ms (2.1% of total)

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

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

Compiler

Compiled 513 to 342 computations (33.3% saved)

bsearch73.0ms (0.4%)

Memory

-25.6MiB live, 50.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
58.0ms	5.844767554728261e+25	1.9510512376015897e+30

Samples

32.0ms	56×	0	valid
21.0ms	72×	1	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 (32.8% of total)

ival-exp: 6.0ms (28.2% of total)

ival-sub: 2.0ms (9.4% of total)

adjust: 2.0ms (9.4% of total)

ival-div: 2.0ms (9.4% of total)

ival-mult: 1.0ms (4.7% of total)

ival-add: 1.0ms (4.7% 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

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9999996916885766

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9999996916885766

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9999996916885766

Compiler

Compiled 20 to 19 computations (5% saved)

simplify16.0ms (0.1%)

Memory

28.0MiB live, 28.0MiB allocated

Algorithm

1×	egg-herbie

Rules

82×	`+-commutative_binary64`
82×	`sub-neg_binary64`
80×	`*-commutative_binary64`
54×	`neg-sub0_binary64`
54×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	153	816
1	205	816
2	276	816
3	331	816
4	367	816
5	376	816
6	377	816

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)) #s(approx (/ (+ (* (* t z) -1/2) t) z) (fma.f64 #s(literal -1/2 binary64) t (/.f64 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 (.f64 #s(literal 1/12 binary64) t) z (.f64 #s(literal -1/2 binary64) t)) 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)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y #s(approx (/ t (- (exp z) 1)) #s(approx (/ (+ (* (* t z) -1/2) t) z) (fma.f64 #s(literal -1/2 binary64) t (/.f64 t z)))))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y #s(approx (/ t (- (exp z) 1)) #s(approx (/ (+ (* (* t z) -1/2) t) z) (.f64 #s(literal -1/2 binary64) 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))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y #s(approx (/ t (- (exp z) 1)) #s(approx (/ (+ (* (* t z) -1/2) t) z) (.f64 #s(literal -1/2 binary64) t)))))) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (/.f64 y #s(approx (/ t (- (exp z) 1)) (/.f64 t z))))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y #s(approx (/ t (- (exp z) 1)) #s(approx (/ (+ (* (* t z) -1/2) t) z) (.f64 #s(literal -1/2 binary64) 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 #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))) (neg t)) (*.f64 (neg.f64 y) (/.f64 z 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)) #s(approx (/ (+ (* (* t z) -1/2) t) z) (fma.f64 #s(literal -1/2 binary64) t (/.f64 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 (.f64 #s(literal 1/12 binary64) t) z (.f64 #s(literal -1/2 binary64) t)) 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)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y #s(approx (/ t (- (exp z) 1)) #s(approx (/ (+ (* (* t z) -1/2) t) z) (fma.f64 #s(literal -1/2 binary64) t (/.f64 t z)))))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y #s(approx (/ t (- (exp z) 1)) #s(approx (/ (+ (* (* t z) -1/2) t) z) (.f64 #s(literal -1/2 binary64) 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))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y #s(approx (/ t (- (exp z) 1)) #s(approx (/ (+ (* (* t z) -1/2) t) z) (.f64 #s(literal -1/2 binary64) t)))))) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (/.f64 y #s(approx (/ t (- (exp z) 1)) (/.f64 t z))))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y #s(approx (/ t (- (exp z) 1)) #s(approx (/ (+ (* (* t z) -1/2) t) z) (.f64 #s(literal -1/2 binary64) 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 #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))) (neg 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 (/.f64 z (neg.f64 t)) y)))

soundness1.9s (9.4%)

Memory

-35.3MiB live, 1 255.1MiB allocated

Rules

15 880×	`lower-fma.f64`
15 880×	`lower-fma.f32`
9 356×	`lower-fma.f64`
9 356×	`lower-fma.f32`
8 356×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	762	12691
1	2453	12155
0	8458	9860
0	12	45
0	19	45
1	73	45
2	593	45
3	7204	45
0	8984	38
0	335	2420
1	1012	2316
2	3176	2227
0	8212	1752
0	606	11644
1	1970	11276
2	5873	10912
0	8137	9008
0	680	12590
1	2230	12241
2	6968	11890
0	8166	9907
0	63	405
0	92	405
1	368	401
2	2874	401
0	8708	388
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×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit

Compiler

Compiled 1 037 to 553 computations (46.7% saved)

preprocess97.0ms (0.5%)

Memory: 22.9MiB live, 299.9MiB allocated
Compiler: Compiled 908 to 288 computations (68.3% 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%)

analyze378.0ms (1.9%)

sample8.1s (40.2%)

explain353.0ms (1.7%)

preprocess262.0ms (1.3%)

eval0.0ms (0%)

prune4.0ms (0%)

simplify34.0ms (0.2%)

localize180.0ms (0.9%)

series174.0ms (0.9%)

simplify206.0ms (1%)

rewrite253.0ms (1.2%)

eval60.0ms (0.3%)

prune91.0ms (0.4%)

simplify179.0ms (0.9%)

localize775.0ms (3.8%)

series393.0ms (1.9%)

simplify187.0ms (0.9%)

rewrite206.0ms (1%)

eval268.0ms (1.3%)

prune297.0ms (1.5%)

simplify138.0ms (0.7%)

localize264.0ms (1.3%)

series216.0ms (1.1%)

simplify246.0ms (1.2%)

rewrite261.0ms (1.3%)

eval378.0ms (1.9%)

prune234.0ms (1.2%)

simplify196.0ms (1%)

localize326.0ms (1.6%)

series279.0ms (1.4%)

simplify234.0ms (1.2%)

rewrite287.0ms (1.4%)

eval197.0ms (1%)

prune265.0ms (1.3%)

regimes239.0ms (1.2%)

regimes85.0ms (0.4%)

regimes118.0ms (0.6%)

regimes192.0ms (0.9%)

regimes79.0ms (0.4%)

regimes51.0ms (0.3%)

regimes160.0ms (0.8%)

regimes242.0ms (1.2%)

regimes134.0ms (0.7%)

regimes105.0ms (0.5%)

regimes141.0ms (0.7%)

regimes36.0ms (0.2%)

regimes11.0ms (0.1%)

regimes87.0ms (0.4%)

regimes39.0ms (0.2%)

regimes37.0ms (0.2%)

bsearch120.0ms (0.6%)

bsearch1.0ms (0%)

bsearch146.0ms (0.7%)

bsearch1.0ms (0%)

bsearch200.0ms (1%)

bsearch2.0ms (0%)

bsearch73.0ms (0.4%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify16.0ms (0.1%)

soundness1.9s (9.4%)

preprocess97.0ms (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