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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze369.0ms (1.9%)

Memory

17.1MiB live, 513.4MiB 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)

sample8.2s (42.4%)

Memory

75.8MiB live, 5 439.7MiB allocated

Samples

4.3s	4 479×	1	valid
993.0ms	1 159×	5	exit
899.0ms	3 777×	0	valid
327.0ms	364×	4	exit
259.0ms	1 797×	0	invalid
216.0ms	667×	1	invalid

Precisions

Click to see histograms. Total time spent on operations: 4.3s

ival-log: 1.3s (31.7% of total)

ival-exp: 1.0s (24.6% of total)

ival-sub: 786.0ms (18.5% of total)

adjust: 367.0ms (8.6% of total)

ival-add: 242.0ms (5.7% of total)

ival-mult: 239.0ms (5.6% of total)

ival-div: 201.0ms (4.7% of total)

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

exact: 9.0ms (0.2% of total)

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

Bogosity

explain341.0ms (1.8%)

Memory

-43.8MiB live, 607.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
154	50	(-2.2582084337983454e+113 1.875590903579039e-227 1.605118265946316e-145 5.1797441798175816e-58)	0	-	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
67	4	(-3.936341551683464e-86 -7537199231.991962 -1.638673584385322e-77 -1.6175305018376024e-171)	0	-	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
16	0	-	1	(9.726882452108866e-148 2.3974046342586935e-158 4.577307570399836e-165 -4.412886368343799e-175)	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
0	0	-	0	-	`(-.f64 #s(literal 1 binary64) y)`
0	0	-	0	-	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
0	0	-	0	-	`t`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`z`
0	0	-	0	-	`y`
0	0	-	0	-	`(*.f64 y (exp.f64 z))`
0	0	-	0	-	`x`
0	0	-	0	-	`(exp.f64 z)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`	sensitivity	204	0
`+.f64`	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`	cancellation	27	0
`/.f64`	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`	u/n	3	0
↳	`(exp.f64 z)`	underflow	81
↳	`(*.f64 y (exp.f64 z))`	underflow	81
↳	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`	underflow	50

Confusion

	Predicted +	Predicted -
+	81	11
-	134	30

Precision

0.3767441860465116

Recall

0.8804347826086957

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	81	0	11
-	134	0	30

Precision?

0.3767441860465116

Recall?

0.8804347826086957

Freqs

test

number	freq
0	41
1	196
2	19

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

140.0ms	330×	1	valid
69.0ms	122×	2	valid
8.0ms	60×	0	valid

Compiler

Compiled 127 to 40 computations (68.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 174.0ms

ival-log: 72.0ms (41.3% of total)

ival-exp: 52.0ms (29.8% of total)

adjust: 17.0ms (9.8% of total)

ival-div: 11.0ms (6.3% of total)

ival-sub: 10.0ms (5.7% of total)

ival-mult: 6.0ms (3.4% of total)

ival-add: 5.0ms (2.9% of total)

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

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

exact: 0.0ms (0% of total)

preprocess381.0ms (2%)

Memory

8.0MiB live, 80.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 13 to 12 computations (7.7% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.9%	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify34.0ms (0.2%)

Memory

26.6MiB live, 26.6MiB 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

localize225.0ms (1.2%)

Memory

-16.0MiB live, 106.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(*.f64 y (exp.f64 z))
accuracy	3.6265078578736154	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
accuracy	15.61201194336311	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
accuracy	35.93320843045416	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))

Samples

134.0ms	61×	2	valid
78.0ms	165×	1	valid
3.0ms	30×	0	valid

Compiler

Compiled 57 to 14 computations (75.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 96.0ms

ival-log: 44.0ms (46% of total)

ival-exp: 16.0ms (16.7% of total)

ival-add: 15.0ms (15.7% of total)

adjust: 7.0ms (7.3% of total)

ival-sub: 5.0ms (5.2% of total)

ival-div: 4.0ms (4.2% of total)

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

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

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

exact: 0.0ms (0% of total)

series288.0ms (1.5%)

Memory

-1.8MiB live, 115.7MiB 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>) () ())) ())
#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
159.0ms	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)))
62.0ms	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)))
27.0ms	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)))
16.0ms	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)))

simplify404.0ms (2.1%)

Memory

26.0MiB live, 176.5MiB 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)
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(fma.f64 (/.f64 x x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) x)
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(fma.f64 (/.f64 x x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) x)
x
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(fma.f64 (/.f64 x x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) x)
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(fma.f64 (/.f64 x x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) x)
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(fma.f64 (/.f64 x x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) x)

rewrite218.0ms (1.1%)

Memory

-6.1MiB live, 347.9MiB 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 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (.f64 (exp.f64 z) y) #s(literal 2 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 (.f64 (exp.f64 z) y) #s(literal 3 binary64)))) (fma.f64 (.f64 (exp.f64 z) y) (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 (.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) (.f64 (exp.f64 z) y)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) (.f64 (exp.f64 z) y))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) (.f64 (exp.f64 z) y)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 6 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)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (.f64 (exp.f64 z) y) #s(literal 2 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) (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 (-.f64 (pow.f64 (.f64 (exp.f64 z) y) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y))))
(.f64 (pow.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (.f64 (exp.f64 z) y) #s(literal 2 binary64))))
(.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (.f64 (exp.f64 z) y) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))))
(*.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 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (.f64 (exp.f64 z) y) #s(literal 2 binary64)))) (/.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 (+.f64 (pow.f64 (.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))))))
(.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (.f64 (exp.f64 z) y) #s(literal 2 binary64))) (pow.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (.f64 (exp.f64 z) y) #s(literal 2 binary64))) (/.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)) (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))))
(.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (.f64 (exp.f64 z) y) #s(literal 2 binary64))) (.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (.f64 (exp.f64 z) y) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (+.f64 (pow.f64 (.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) #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)) (pow.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)))
(pow.f64 (pow.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)) (pow.f64 (.f64 (exp.f64 z) y) #s(literal 4 binary64))) (pow.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 6 binary64)) (pow.f64 (.f64 (exp.f64 z) y) #s(literal 6 binary64))) (pow.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)) (pow.f64 (.f64 (exp.f64 z) y) #s(literal 4 binary64))) (pow.f64 (.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) (exp.f64 z)) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 6 binary64)) (pow.f64 (.f64 (exp.f64 z) y) #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (.f64 (exp.f64 z) y) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 (.f64 (exp.f64 z) y) #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (exp.f64 z) y) #s(literal 9 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (.f64 (exp.f64 z) y) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 6 binary64)) (pow.f64 (.f64 (exp.f64 z) y) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) (exp.f64 z)) #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (.f64 (exp.f64 z) y) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)))) (.f64 (/.f64 (pow.f64 (.f64 (exp.f64 z) y) #s(literal 2 binary64)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))) (/.f64 (pow.f64 (.f64 (exp.f64 z) y) #s(literal 2 binary64)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))))) (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (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)) (pow.f64 y #s(literal 3 binary64))) (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 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 (exp.f64 z) y) #s(literal 2 binary64)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (exp.f64 z) y) #s(literal 2 binary64)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))) (/.f64 (pow.f64 (.f64 (exp.f64 z) y) #s(literal 2 binary64)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))) (.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (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)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (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 (-.f64 (pow.f64 (.f64 (exp.f64 z) y) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))) (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 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (.f64 (exp.f64 z) y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))) (.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (.f64 (exp.f64 z) y) #s(literal 2 binary64)))) (.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 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)) (pow.f64 (.f64 (exp.f64 z) y) #s(literal 4 binary64))) (.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 y) (exp.f64 z) y) #s(literal 2 binary64))) (fma.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (exp.f64 z) y) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (-.f64 (.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 6 binary64)) (pow.f64 (.f64 (exp.f64 z) y) #s(literal 6 binary64))) (.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)) (pow.f64 (.f64 (exp.f64 z) y) #s(literal 4 binary64))) (pow.f64 (.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) (exp.f64 z)) #s(literal 2 binary64)))))
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(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) (pow.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 2 binary64)) (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.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)) #s(literal -1 binary64)) (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)))) (pow.f64 t #s(literal -1 binary64)) 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 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 2 binary64)) (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x))))
(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 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 2 binary64)) (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x)))
(-.f64 (/.f64 (pow.f64 x #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 (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 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 2 binary64)) (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x))))
(+.f64 (/.f64 (pow.f64 x #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 (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 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (pow.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 t #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)))) (.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))) (pow.f64 t #s(literal -1 binary64)))
(*.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 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) #s(literal -1 binary64)))
(/.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 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) t) (/.f64 (log1p.f64 (neg.f64 (fma.f64 (exp.f64 z) y y))) t))
(-.f64 (/.f64 (log.f64 (+.f64 (pow.f64 (.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))) t) (/.f64 (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (.f64 (exp.f64 z) y) #s(literal 2 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))

eval64.0ms (0.3%)

Memory: 0.3MiB live, 191.5MiB allocated
Compiler: Compiled 12 692 to 1 636 computations (87.1% saved)

prune149.0ms (0.8%)

Memory

13.4MiB live, 220.5MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	426	10	436
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	427	10	437

Accuracy

100.0%

Counts

437 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	86.4%	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x)
	70.0%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
	35.0%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))
	74.9%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
▶	59.1%	(-.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))
▶	85.8%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
	74.1%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
▶	86.9%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
▶	73.5%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
▶	26.6%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))

Compiler

Compiled 198 to 194 computations (2% saved)

simplify231.0ms (1.2%)

Memory

-27.6MiB live, 168.9MiB 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	#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))
cost-diff	0	(/.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)
cost-diff	0	(-.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))
cost-diff	128	(fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 y (.f64 y y)) y)
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

6 952×	`lower-fma.f32`
6 950×	`lower-fma.f64`
2 992×	`lower-*.f32`
2 980×	`lower-*.f64`
1 462×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	316
0	60	316
1	105	316
2	197	272
3	401	272
4	901	272
5	1943	272
6	3249	272
7	5176	272
8	6347	272
9	6938	272
10	7259	272
11	7510	272
12	7570	272
13	7762	272
14	7834	272
15	7879	272
0	8025	267

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

localize232.0ms (1.2%)

Memory

16.4MiB live, 302.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(expm1.f64 z)
accuracy	0.0078125	(*.f64 (expm1.f64 z) y)
accuracy	3.6265078578736154	(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))
accuracy	46.41499418532317	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
accuracy	0.00390625	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
accuracy	0.0078125	(*.f64 (expm1.f64 z) y)
accuracy	3.6265078578736154	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)
accuracy	12.234964444056866	#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))
accuracy	1.4574633928237595	(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)
accuracy	3.6265078578736154	(/.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)
accuracy	4.318492515785683	(fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 y (.f64 y y)) y)
accuracy	26.85300596769854	#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))
accuracy	0	(/.f64 y t)
accuracy	0.00390625	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
accuracy	6.443885278262344	(*.f64 (/.f64 y t) z)
accuracy	23.934580719435477	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))
accuracy	0.00390625	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
accuracy	0.015625	(/.f64 (expm1.f64 z) t)
accuracy	2.306114859616256	(*.f64 (/.f64 (expm1.f64 z) t) y)
accuracy	12.161333193645694	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))

Samples

120.0ms	165×	1	valid
77.0ms	61×	2	valid
9.0ms	30×	0	valid

Compiler

Compiled 253 to 30 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 172.0ms

ival-log: 37.0ms (21.5% of total)

ival-sub: 30.0ms (17.4% of total)

ival-mult: 26.0ms (15.1% of total)

adjust: 23.0ms (13.4% of total)

ival-div: 17.0ms (9.9% of total)

ival-exp: 16.0ms (9.3% of total)

ival-expm1: 13.0ms (7.6% of total)

ival-add: 4.0ms (2.3% of total)

ival-log1p: 4.0ms (2.3% of total)

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

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

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

exact: 0.0ms (0% of total)

series314.0ms (1.6%)

Memory

-8.2MiB live, 374.4MiB allocated

Counts

21 → 696

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 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 y (.f64 y y)) y) (patch (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 y (.f64 y y)) y) #<representation binary64>) () ())
#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 y (.f64 y y)) y) z)) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 y (.f64 y y)) y) z)) t) (patch (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t) #<representation binary64>) () ())
#s(alt #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 y (.f64 y y)) y) z)) (patch #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)) #<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 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 y (.f64 y y)) y) z) (patch (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 y (.f64 y y)) y) z) #<representation binary64>) () ())
#s(alt (expm1.f64 z) (patch (expm1.f64 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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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 y t) z)) (patch #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 (/.f64 y t) 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 (/.f64 y t) z)) (patch #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 (/.f64 y t) 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 (/.f64 y t) z)) (patch #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 (/.f64 y t) 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 (/.f64 y t) z)) (patch #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 (/.f64 y t) z)) #<representation binary64>) () ())) ())
#s(alt (/ (* y z) t) (taylor 0 t) (#s(alt (.f64 (/.f64 y t) z) (patch (.f64 (/.f64 y t) z) #<representation binary64>) () ())) ())
#s(alt (/ (* y z) t) (taylor 0 t) (#s(alt (.f64 (/.f64 y t) z) (patch (.f64 (/.f64 y t) z) #<representation binary64>) () ())) ())
#s(alt (/ (* y z) t) (taylor 0 t) (#s(alt (.f64 (/.f64 y t) z) (patch (.f64 (/.f64 y t) z) #<representation binary64>) () ())) ())
#s(alt (/ (* y z) t) (taylor 0 t) (#s(alt (.f64 (/.f64 y t) z) (patch (.f64 (/.f64 y t) z) #<representation binary64>) () ())) ())
#s(alt (/ y t) (taylor 0 t) (#s(alt (/.f64 y t) (patch (/.f64 y t) #<representation binary64>) () ())) ())
#s(alt (/ y t) (taylor 0 t) (#s(alt (/.f64 y t) (patch (/.f64 y t) #<representation binary64>) () ())) ())
#s(alt (/ y t) (taylor 0 t) (#s(alt (/.f64 y t) (patch (/.f64 y t) #<representation binary64>) () ())) ())
#s(alt (/ y t) (taylor 0 t) (#s(alt (/.f64 y t) (patch (/.f64 y t) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) (taylor 0 t) (#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) (taylor 0 t) (#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) (taylor 0 t) (#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) (taylor 0 t) (#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())) ())
#s(alt (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor 0 t) (#s(alt (/.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) (patch (/.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) #<representation binary64>) () ())) ())
#s(alt (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor 0 t) (#s(alt (/.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) (patch (/.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) #<representation binary64>) () ())) ())
#s(alt (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor 0 t) (#s(alt (/.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) (patch (/.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) #<representation binary64>) () ())) ())
#s(alt (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor 0 t) (#s(alt (/.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) (patch (/.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) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) (taylor 0 t) (#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>) () ())) ())
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#s(alt (* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) (taylor inf x) (#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (expm1.f64 z) t) y))) (patch (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) (taylor inf x) (#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (expm1.f64 z) t) y))) (patch (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) (taylor inf x) (#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (expm1.f64 z) t) y))) (patch (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 y t) z))) (patch (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 (/.f64 y t) z))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) (taylor inf x) (#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.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 (* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) (taylor inf x) (#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 y t) z))) (patch (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 (/.f64 y t) z))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) (taylor inf x) (#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.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 x (taylor inf x) (#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) (taylor inf x) (#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) (taylor inf x) (#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) (taylor inf x) (#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#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 (* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) (taylor inf x) (#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 (* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) (taylor inf x) (#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 (* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) (taylor inf x) (#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 x (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>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) (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>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) (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>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) (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>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (expm1.f64 z) t) y))) (patch (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (expm1.f64 z) t) y))) (patch (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (expm1.f64 z) t) y))) (patch (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (expm1.f64 z) t) y))) (patch (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#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 (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 y t) z))) (patch (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 (/.f64 y t) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 y t) z))) (patch (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 (/.f64 y t) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 y t) z))) (patch (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 (/.f64 y t) z))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.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)) (patch (-.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)) #<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 (.f64 #s(literal 1/2 binary64) z) (-.f64 y (.f64 y y)) y) z)) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) 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 (.f64 #s(literal 1/2 binary64) z) (-.f64 y (.f64 y y)) y) z)) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) 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 (.f64 #s(literal 1/2 binary64) z) (-.f64 y (.f64 y y)) y) z)) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#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 (* -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 (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 (* -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 (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 (* -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 (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 x (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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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
88.0ms	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) (+ (* (* 1/2 z) (- y (* y y))) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (- 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))) (* (+ (* (* 1/2 z) (- y (* y y))) y) z) (- (exp z) 1))
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) (+ (* (* 1/2 z) (- y (* y y))) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (- 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))) (* (+ (* (* 1/2 z) (- y (* y y))) y) z) (- (exp z) 1))
37.0ms	y	@	-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) (+ (* (* 1/2 z) (- y (* y y))) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (- 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))) (* (+ (* (* 1/2 z) (- y (* y y))) y) z) (- (exp z) 1))
29.0ms	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) (+ (* (* 1/2 z) (- y (* y y))) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (- 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))) (* (+ (* (* 1/2 z) (- y (* y y))) y) z) (- (exp z) 1))
27.0ms	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) (+ (* (* 1/2 z) (- y (* y y))) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (- 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))) (* (+ (* (* 1/2 z) (- y (* y y))) y) z) (- (exp z) 1))

simplify263.0ms (1.4%)

Memory

-4.5MiB live, 288.4MiB allocated

Algorithm

1×	egg-herbie

Rules

14 918×	`lower-fma.f64`
14 918×	`lower-fma.f32`
5 634×	`lower-*.f64`
5 634×	`lower-*.f32`
4 292×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	528	11142
1	1727	10747
2	5242	10256
0	8771	8059

Stop Event

1×	iter limit
1×	node limit

Counts

696 → 664

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

rewrite198.0ms (1%)

Memory

20.7MiB live, 352.2MiB allocated

Rules

4 976×	`lower-/.f32`
4 966×	`lower-/.f64`
4 846×	`lower-*.f32`
4 834×	`lower-*.f64`
4 578×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	275
0	60	275
1	254	275
2	2049	275
0	9436	264

Stop Event

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

Counts

21 → 507

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

eval176.0ms (0.9%)

Memory: 15.3MiB live, 385.0MiB allocated
Compiler: Compiled 24 066 to 3 050 computations (87.3% saved)

prune175.0ms (0.9%)

Memory

4.3MiB live, 280.4MiB allocated

Pruning

22 alts after pruning (19 fresh and 3 done)

	Pruned	Kept	Total
New	1 288	16	1 304
Fresh	2	3	5
Picked	2	3	5
Done	0	0	0
Total	1 292	22	1 314

Accuracy

100.0%

Counts

1 314 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	86.4%	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x)
	35.0%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))
	74.9%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
✓	85.8%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
	66.2%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* 1/2 z) (- y (* y y))) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)) t))
▶	60.4%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* 1/2 z) (- y (* y y))) y) (.f64 (.f64 (*.f64 y y) z) #s(literal -1/2 binary64))) z)) t))
	59.3%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (+ (* (* 1/2 z) (- y (* y y))) y) z) (.f64 (.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y))) y) y))) t))
	73.5%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y))))
	74.1%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y)))))
▶	86.9%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (expm1.f64 (.f64 z #s(literal 3 binary64))) (*.f64 t (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))))) y)))
✓	73.5%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
	73.5%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) z)))
▶	73.5%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z)))
	74.9%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
✓	26.6%	#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 #s(approx (* (- (exp z) 1) y) (*.f64 z y))) (neg.f64 t)))
▶	17.0%	#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)))
	11.8%	#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)))
	26.6%	#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)))))
	26.6%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (.f64 (expm1.f64 z) y))))
▶	12.5%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 (neg.f64 z) t) y)))
	17.7%	#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 (expm1.f64 z) t))))

Compiler

Compiled 450 to 441 computations (2% saved)

simplify135.0ms (0.7%)

Memory

-10.1MiB live, 109.3MiB 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	#s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (expm1.f64 z) y))
cost-diff	0	(/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (expm1.f64 z) y)) (neg.f64 t))
cost-diff	0	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
cost-diff	0	(.f64 #s(approx (+ ( (* 1/2 z) (- y (* y y))) y) (.f64 (.f64 (*.f64 y y) z) #s(literal -1/2 binary64))) z)
cost-diff	0	#s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* 1/2 z) (- y (* y y))) y) (.f64 (.f64 (*.f64 y y) z) #s(literal -1/2 binary64))) z))
cost-diff	0	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* 1/2 z) (- y (* y y))) y) (.f64 (.f64 (*.f64 y y) z) #s(literal -1/2 binary64))) z)) t)
cost-diff	0	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* 1/2 z) (- y (* y y))) y) (.f64 (.f64 (*.f64 y y) z) #s(literal -1/2 binary64))) z)) t))
cost-diff	0	(.f64 (.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z)
cost-diff	0	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z))
cost-diff	0	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z)))
cost-diff	448	(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t))
cost-diff	0	(/.f64 (neg.f64 z) t)
cost-diff	0	(*.f64 (/.f64 (neg.f64 z) t) y)
cost-diff	0	#s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 (neg.f64 z) t) y))
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 z) t) y)))
cost-diff	0	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (expm1.f64 (.f64 z #s(literal 3 binary64))) (*.f64 t (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))))) y))
cost-diff	0	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (expm1.f64 (.f64 z #s(literal 3 binary64))) (*.f64 t (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))))) y)))
cost-diff	128	(*.f64 t (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))))
cost-diff	6400	(fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64)))

Rules

5 392×	`lower-fma.f32`
5 390×	`lower-fma.f64`
2 878×	`lower-*.f32`
2 856×	`lower-*.f64`
1 218×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	490
0	92	490
1	174	486
2	380	460
3	752	460
4	2230	460
5	5057	460
6	7108	460
0	8019	411

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

localize396.0ms (2%)

Memory

-19.7MiB live, 306.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(*.f64 (expm1.f64 z) y)
accuracy	3.6265078578736154	(/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (expm1.f64 z) y)) (neg.f64 t))
accuracy	12.234964444056866	#s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (expm1.f64 z) y))
accuracy	46.41499418532317	#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)))
accuracy	3.6265078578736154	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* 1/2 z) (- y (* y y))) y) (.f64 (.f64 (*.f64 y y) z) #s(literal -1/2 binary64))) z)) t)
accuracy	9.73482356261984	(.f64 (.f64 y y) z)
accuracy	26.85300596769854	#s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* 1/2 z) (- y (* y y))) y) (.f64 (.f64 (*.f64 y y) z) #s(literal -1/2 binary64))) z))
accuracy	49.143399932975264	#s(approx (+ (* (* 1/2 z) (- y (* y y))) y) (.f64 (.f64 (*.f64 y y) z) #s(literal -1/2 binary64)))
accuracy	0.00390625	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z)))
accuracy	0.17806625976844204	(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t))
accuracy	6.443885278262344	(.f64 (.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z)
accuracy	23.934580719435477	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z))
accuracy	0	(neg.f64 z)
accuracy	4.398755274867911	(*.f64 (/.f64 (neg.f64 z) t) y)
accuracy	23.934580719435477	#s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 (neg.f64 z) t) y))
accuracy	46.41499418532317	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 (neg.f64 z) t) y)))
accuracy	0.1484375	(expm1.f64 (*.f64 z #s(literal 3 binary64)))
accuracy	0.16796875	(/.f64 (expm1.f64 (.f64 z #s(literal 3 binary64))) (.f64 t (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64)))))
accuracy	2.306114859616256	(.f64 (/.f64 (expm1.f64 (.f64 z #s(literal 3 binary64))) (*.f64 t (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))))) y)
accuracy	12.161333193645694	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (expm1.f64 (.f64 z #s(literal 3 binary64))) (*.f64 t (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))))) y))

Samples

154.0ms	144×	1	valid
131.0ms	77×	2	valid
33.0ms	30×	0	valid
7.0ms	5×	3	valid

Compiler

Compiled 323 to 46 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 253.0ms

ival-mult: 67.0ms (26.4% of total)

ival-log: 46.0ms (18.1% of total)

adjust: 35.0ms (13.8% of total)

ival-add: 33.0ms (13% of total)

ival-expm1: 27.0ms (10.7% of total)

ival-exp: 18.0ms (7.1% of total)

ival-div: 14.0ms (5.5% of total)

ival-sub: 7.0ms (2.8% of total)

ival-log1p: 4.0ms (1.6% of total)

ival-neg: 3.0ms (1.2% of total)

exact: 1.0ms (0.4% of total)

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

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

series278.0ms (1.4%)

Memory

16.9MiB live, 250.3MiB allocated

Counts

26 → 804

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
48.0ms	t	@	inf	((+ (* (exp z) (exp z)) (+ (exp z) 1)) (* t (+ (* (exp z) (exp z)) (+ (exp z) 1))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (* (/ (neg z) t) y) (/ (neg z) t) (* (neg y) (/ -1 t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (* (neg y) (/ -1 t)) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (+ (* (* 1/2 z) (- y (* y y))) y) z) (- 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 3)) 1) (* t (+ (* (exp z) (exp z)) (+ (exp z) 1)))) y) (/ (- (exp (* z 3)) 1) (* t (+ (* (exp z) (exp z)) (+ (exp z) 1)))) (- (exp (* z 3)) 1) (neg z) (+ (* (* 1/2 z) (- y (* y y))) y) (* (* y y) z))
42.0ms	z	@	-inf	((+ (* (exp z) (exp z)) (+ (exp z) 1)) (* t (+ (* (exp z) (exp z)) (+ (exp z) 1))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (* (/ (neg z) t) y) (/ (neg z) t) (* (neg y) (/ -1 t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (* (neg y) (/ -1 t)) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (+ (* (* 1/2 z) (- y (* y y))) y) z) (- 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 3)) 1) (* t (+ (* (exp z) (exp z)) (+ (exp z) 1)))) y) (/ (- (exp (* z 3)) 1) (* t (+ (* (exp z) (exp z)) (+ (exp z) 1)))) (- (exp (* z 3)) 1) (neg z) (+ (* (* 1/2 z) (- y (* y y))) y) (* (* y y) z))
28.0ms	t	@	-inf	((+ (* (exp z) (exp z)) (+ (exp z) 1)) (* t (+ (* (exp z) (exp z)) (+ (exp z) 1))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (* (/ (neg z) t) y) (/ (neg z) t) (* (neg y) (/ -1 t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (* (neg y) (/ -1 t)) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (+ (* (* 1/2 z) (- y (* y y))) y) z) (- 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 3)) 1) (* t (+ (* (exp z) (exp z)) (+ (exp z) 1)))) y) (/ (- (exp (* z 3)) 1) (* t (+ (* (exp z) (exp z)) (+ (exp z) 1)))) (- (exp (* z 3)) 1) (neg z) (+ (* (* 1/2 z) (- y (* y y))) y) (* (* y y) z))
18.0ms	z	@	inf	((+ (* (exp z) (exp z)) (+ (exp z) 1)) (* t (+ (* (exp z) (exp z)) (+ (exp z) 1))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (* (/ (neg z) t) y) (/ (neg z) t) (* (neg y) (/ -1 t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (* (neg y) (/ -1 t)) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (+ (* (* 1/2 z) (- y (* y y))) y) z) (- 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 3)) 1) (* t (+ (* (exp z) (exp z)) (+ (exp z) 1)))) y) (/ (- (exp (* z 3)) 1) (* t (+ (* (exp z) (exp z)) (+ (exp z) 1)))) (- (exp (* z 3)) 1) (neg z) (+ (* (* 1/2 z) (- y (* y y))) y) (* (* y y) z))
17.0ms	t	@	0	((+ (* (exp z) (exp z)) (+ (exp z) 1)) (* t (+ (* (exp z) (exp z)) (+ (exp z) 1))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (* (/ (neg z) t) y) (/ (neg z) t) (* (neg y) (/ -1 t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (* (neg y) (/ -1 t)) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (+ (* (* 1/2 z) (- y (* y y))) y) z) (- 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 3)) 1) (* t (+ (* (exp z) (exp z)) (+ (exp z) 1)))) y) (/ (- (exp (* z 3)) 1) (* t (+ (* (exp z) (exp z)) (+ (exp z) 1)))) (- (exp (* z 3)) 1) (neg z) (+ (* (* 1/2 z) (- y (* y y))) y) (* (* y y) z))

simplify404.0ms (2.1%)

Memory

-0.4MiB live, 238.1MiB allocated

Algorithm

1×	egg-herbie

Rules

11 214×	`lower-fma.f64`
11 214×	`lower-fma.f32`
5 576×	`lower-*.f64`
5 576×	`lower-*.f32`
3 042×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	586	12181
1	1910	11784
2	5633	11426
0	8209	9283

Stop Event

1×	iter limit
1×	node limit

Counts

804 → 773

Calls

Call 1

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

rewrite182.0ms (0.9%)

Memory

27.0MiB live, 331.1MiB allocated

Rules

4 554×	`lower-/.f32`
4 544×	`lower-/.f64`
3 968×	`lower-*.f32`
3 946×	`lower-*.f64`
2 550×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	440
0	92	440
1	342	388
2	2564	380
0	8439	354

Stop Event

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

Counts

26 → 477

Calls

Call 1

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

Outputs
(.f64 (-.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 2 binary64))) (pow.f64 (-.f64 (expm1.f64 (.f64 #s(literal 2 binary64) z)) (exp.f64 z)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (exp.f64 z) #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (pow.f64 (exp.f64 z) #s(literal 2 binary64))) (pow.f64 (exp.f64 z) #s(literal 4 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) z)) (exp.f64 z)) (-.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (pow.f64 (exp.f64 z) #s(literal 2 binary64))) (pow.f64 (exp.f64 z) #s(literal 4 binary64))) (+.f64 (pow.f64 (exp.f64 z) #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (exp.f64 z)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (exp.f64 z)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 2 binary64)) (pow.f64 (exp.f64 z) #s(literal 4 binary64)))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (pow.f64 (exp.f64 z) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (exp.f64 z)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (exp.f64 z)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (exp.f64 z)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) z)) (exp.f64 z)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 z) #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (pow.f64 (exp.f64 z) #s(literal 2 binary64))) (pow.f64 (exp.f64 z) #s(literal 4 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)) (-.f64 (expm1.f64 (.f64 #s(literal 2 binary64) z)) (exp.f64 z))) (.f64 (-.f64 (expm1.f64 (.f64 #s(literal 2 binary64) z)) (exp.f64 z)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 2 binary64)))) (.f64 (-.f64 (expm1.f64 (.f64 #s(literal 2 binary64) z)) (exp.f64 z)) (-.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) z)) (exp.f64 z))))
(/.f64 (-.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (exp.f64 z)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (exp.f64 z)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 2 binary64)) (pow.f64 (exp.f64 z) #s(literal 4 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (pow.f64 (exp.f64 z) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (exp.f64 z)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (exp.f64 z)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (exp.f64 z)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) z)) (exp.f64 z))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 z) #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)) (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 z)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 z) #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (pow.f64 (exp.f64 z) #s(literal 2 binary64))) (pow.f64 (exp.f64 z) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 2 binary64))) (-.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) z)) (exp.f64 z)))
(/.f64 (+.f64 (pow.f64 (exp.f64 z) #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)) (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 z))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 z) #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (pow.f64 (exp.f64 z) #s(literal 2 binary64))) (pow.f64 (exp.f64 z) #s(literal 4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) z)) (exp.f64 z)) (-.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (pow.f64 (exp.f64 z) #s(literal 2 binary64))) (pow.f64 (exp.f64 z) #s(literal 4 binary64))) (+.f64 (pow.f64 (exp.f64 z) #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) z)) (exp.f64 z)) (-.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (pow.f64 (exp.f64 z) #s(literal 2 binary64))) (pow.f64 (exp.f64 z) #s(literal 4 binary64))) (+.f64 (pow.f64 (exp.f64 z) #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 3 binary64)))))
(fma.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) z)) (expm1.f64 (.f64 #s(literal 3 binary64) z))) (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (exp.f64 z) #s(literal 1 binary64)) (pow.f64 (exp.f64 z) #s(literal 2 binary64)))
(fma.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) z)) (expm1.f64 (.f64 #s(literal 2 binary64) z))) (+.f64 #s(literal 1 binary64) (exp.f64 z)) (pow.f64 (exp.f64 z) #s(literal 2 binary64)))
(fma.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) z)) (pow.f64 (expm1.f64 z) #s(literal -1 binary64)) (pow.f64 (exp.f64 z) #s(literal 2 binary64)))
(fma.f64 (+.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (-.f64 #s(literal 1 binary64) (exp.f64 z))) #s(literal -1 binary64)) (pow.f64 (exp.f64 z) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 z)))
(fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 1 binary64) (pow.f64 (exp.f64 z) #s(literal 2 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (exp.f64 z) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 z) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 z)))
(fma.f64 #s(literal 1 binary64) (exp.f64 z) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 z) #s(literal 2 binary64))))
(fma.f64 (exp.f64 z) #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 z) #s(literal 2 binary64))))
(fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 #s(literal 1 binary64) (exp.f64 z)))
(-.f64 (/.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (exp.f64 z)) #s(literal 2 binary64)) (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (exp.f64 z)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (exp.f64 z)) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (pow.f64 (exp.f64 z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (pow.f64 (exp.f64 z) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)) (-.f64 (expm1.f64 (.f64 #s(literal 2 binary64) z)) (exp.f64 z))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 2 binary64)) (-.f64 (expm1.f64 (.f64 #s(literal 2 binary64) z)) (exp.f64 z))))
(+.f64 (fma.f64 (exp.f64 z) (exp.f64 z) #s(literal 1 binary64)) (exp.f64 z))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (exp.f64 z)) #s(literal 1 binary64))
(+.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 z)))
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (pow.f64 (exp.f64 z) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (exp.f64 z)))
(+.f64 (exp.f64 z) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 z) #s(literal 2 binary64))))
(*.f64 t (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (exp.f64 z) #s(literal 1 binary64)))
(*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (exp.f64 z) #s(literal 1 binary64)) t)
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 2 binary64))) t)) (neg.f64 (-.f64 (expm1.f64 (.f64 #s(literal 2 binary64) z)) (exp.f64 z))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 z) #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 3 binary64))) t)) (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (pow.f64 (exp.f64 z) #s(literal 2 binary64))) (pow.f64 (exp.f64 z) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (.f64 t (-.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 2 binary64))))) (neg.f64 (-.f64 (expm1.f64 (.f64 #s(literal 2 binary64) z)) (exp.f64 z))))
(/.f64 (neg.f64 (*.f64 t (+.f64 (pow.f64 (exp.f64 z) #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (pow.f64 (exp.f64 z) #s(literal 2 binary64))) (pow.f64 (exp.f64 z) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) t) #s(literal 2 binary64)) (pow.f64 (fma.f64 (exp.f64 z) t t) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) t) (fma.f64 (exp.f64 z) t t))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (exp.f64 z) #s(literal 6 binary64)) (pow.f64 (fma.f64 (exp.f64 z) t t) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) t) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 (exp.f64 z) t t) #s(literal 2 binary64)) (.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) t) (fma.f64 (exp.f64 z) t t))))))
(/.f64 (.f64 (-.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 2 binary64))) t) (-.f64 (expm1.f64 (.f64 #s(literal 2 binary64) z)) (exp.f64 z)))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 z) #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 3 binary64))) t) (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (pow.f64 (exp.f64 z) #s(literal 2 binary64))) (pow.f64 (exp.f64 z) #s(literal 4 binary64))))
(/.f64 (.f64 t (-.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (.f64 #s(literal 2 binary64) z)) (exp.f64 z)))
(/.f64 (*.f64 t (+.f64 (pow.f64 (exp.f64 z) #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (pow.f64 (exp.f64 z) #s(literal 2 binary64))) (pow.f64 (exp.f64 z) #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) t) #s(literal 2 binary64)) (pow.f64 (fma.f64 (exp.f64 z) t t) #s(literal 2 binary64))) (-.f64 (.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) t) (fma.f64 (exp.f64 z) t t)))
(/.f64 (fma.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (exp.f64 z) #s(literal 6 binary64)) (pow.f64 (fma.f64 (exp.f64 z) t t) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) t) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 (exp.f64 z) t t) #s(literal 2 binary64)) (.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) t) (fma.f64 (exp.f64 z) t t)))))
(fma.f64 (*.f64 t (exp.f64 z)) (exp.f64 z) (fma.f64 (exp.f64 z) t t))
(fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (exp.f64 z)) t t)
(fma.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) t (fma.f64 (exp.f64 z) t t))
(fma.f64 t (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (exp.f64 z)) (.f64 t #s(literal 1 binary64)))
(fma.f64 t (pow.f64 (exp.f64 z) #s(literal 2 binary64)) (fma.f64 (exp.f64 z) t t))
(fma.f64 t (+.f64 #s(literal 1 binary64) (exp.f64 z)) (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) t))
(fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) t (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) t))
(fma.f64 (exp.f64 z) (*.f64 (exp.f64 z) t) (fma.f64 (exp.f64 z) t t))
(-.f64 (/.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) t) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) t) (fma.f64 (exp.f64 z) t t))) (/.f64 (pow.f64 (fma.f64 (exp.f64 z) t t) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) t) (fma.f64 (exp.f64 z) t t))))
(+.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (exp.f64 z)) t) t)
(+.f64 (.f64 t (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (exp.f64 z))) (*.f64 t #s(literal 1 binary64)))
(+.f64 (fma.f64 (exp.f64 z) t t) (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) t))
(+.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) t) (fma.f64 (exp.f64 z) t t))
(.f64 (-.f64 (.f64 x x) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (expm1.f64 z) (/.f64 y t))) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 (expm1.f64 z) (/.f64 y t))) x) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (expm1.f64 z) (/.f64 y t))) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (expm1.f64 z) (/.f64 y t))) (+.f64 #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (expm1.f64 z) (/.f64 y t))) x) (.f64 x x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (expm1.f64 z) (/.f64 y t))) x) (-.f64 (.f64 x x) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (expm1.f64 z) (/.f64 y t))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (expm1.f64 z) (/.f64 y t))) (+.f64 #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (expm1.f64 z) (/.f64 y t))) x) (.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (expm1.f64 z) (/.f64 y t))) #s(literal 3 binary64)))) #s(literal -1 binary64))
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(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 6 binary64)) (+.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 z) #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 z) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 z) #s(literal 3 binary64)))) (.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 z) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 z) #s(literal 3 binary64))) #s(literal 1 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 z) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 z) #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 z) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 z) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 z #s(literal 6 binary64)))) (neg.f64 (-.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 z #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (.f64 z #s(literal 9 binary64)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 z) #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 z #s(literal 9 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 z) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 z) #s(literal 3 binary64)))))
(/.f64 (expm1.f64 (*.f64 z #s(literal 6 binary64))) (-.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (*.f64 z #s(literal 6 binary64))) (+.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (.f64 z #s(literal 9 binary64))) (+.f64 (pow.f64 (exp.f64 z) #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (*.f64 z #s(literal 9 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 z) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 z) #s(literal 3 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal 1 binary64)) (expm1.f64 (*.f64 z #s(literal 6 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 z) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 z) #s(literal 3 binary64))) (expm1.f64 (*.f64 z #s(literal 9 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal 1 binary64)) (expm1.f64 (*.f64 z #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 z) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 z) #s(literal 3 binary64))) (expm1.f64 (*.f64 z #s(literal 9 binary64)))))
(fma.f64 (pow.f64 (exp.f64 z) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 z) #s(literal 3/2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) (exp.f64 z) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal -1 binary64))
(fma.f64 (exp.f64 z) (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal -1 binary64))
(expm1.f64 (.f64 (.f64 #s(literal 2 binary64) z) #s(literal 3/2 binary64)))
(expm1.f64 (*.f64 (log.f64 (exp.f64 #s(literal 3 binary64))) z))
(expm1.f64 (*.f64 #s(literal 3 binary64) z))
(-.f64 (/.f64 (pow.f64 (exp.f64 z) #s(literal 6 binary64)) (-.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 z) #s(literal 9 binary64)) (+.f64 (pow.f64 (exp.f64 z) #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 z) #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal -1 binary64))))))
(-.f64 (/.f64 (pow.f64 (exp.f64 z) #s(literal 6 binary64)) (+.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (exp.f64 z) #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 z) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 z) #s(literal 3 binary64)))) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 z) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 z) #s(literal 3 binary64))) #s(literal -1 binary64)))
(-.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal 1 binary64))
(+.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 z) #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) z)
(*.f64 z #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z))) (neg.f64 z))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) z)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))
(neg.f64 z)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 z z (.f64 #s(literal 0 binary64) z)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 z z (.f64 #s(literal 0 binary64) z)))))
(-.f64 (/.f64 #s(literal 0 binary64) z) (/.f64 (*.f64 z z) z))
(-.f64 #s(literal 0 binary64) z)
(+.f64 #s(literal 0 binary64) (neg.f64 z))
#s(approx (+ (* (* 1/2 z) (- y (* y y))) y) (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) z)))
(.f64 (.f64 y z) y)
(.f64 (.f64 y y) z)
(.f64 y (.f64 y z))
(.f64 z (.f64 y y))

eval218.0ms (1.1%)

Memory: 5.2MiB live, 450.3MiB allocated
Compiler: Compiled 25 018 to 2 992 computations (88% saved)

prune155.0ms (0.8%)

Memory

9.5MiB live, 355.5MiB allocated

Pruning

29 alts after pruning (23 fresh and 6 done)

	Pruned	Kept	Total
New	1 238	12	1 250
Fresh	3	11	14
Picked	2	3	5
Done	0	3	3
Total	1 243	29	1 272

Accuracy

100.0%

Counts

1 272 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.4%	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x)
	35.0%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))
	74.9%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
✓	85.8%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
▶	66.2%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* 1/2 z) (- y (* y y))) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)) t))
✓	60.4%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* 1/2 z) (- y (* y y))) y) (.f64 (.f64 (*.f64 y y) z) #s(literal -1/2 binary64))) z)) t))
	57.0%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (+ (* (* 1/2 z) (- y (* y y))) y) z) (.f64 (.f64 (.f64 (.f64 z z) y) y) #s(literal -1/2 binary64)))) t))
▶	73.5%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y))))
	82.6%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (expm1.f64 (.f64 z #s(literal 3 binary64))) (.f64 t #s(approx (+ ( (exp z) (exp z)) (+ (exp z) 1)) (fma.f64 (fma.f64 #s(literal 5/2 binary64) z #s(literal 3 binary64)) z #s(literal 3 binary64))))) y)))
	82.1%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (expm1.f64 (.f64 z #s(literal 3 binary64))) (.f64 t #s(approx (+ ( (exp z) (exp z)) (+ (exp z) 1)) #s(literal 3 binary64)))) y)))
✓	73.5%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
	73.5%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) z)))
	74.1%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 #s(literal -1 binary64) t) (.f64 (neg.f64 y) z))))
	74.9%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp ( z 3)) 1) (* t (+ (* (exp z) (exp z)) (+ (exp z) 1)))) (/.f64 z t)) y)))
✓	26.6%	#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 #s(approx (* (- (exp z) 1) y) (*.f64 z y))) (neg.f64 t)))
✓	17.0%	#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)))
	11.8%	#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)))
	11.0%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) #s(approx (* (- (exp z) 1) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (neg.f64 t)))
	26.6%	#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)))))
	26.6%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (.f64 (expm1.f64 z) y))))
	12.5%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 y (/.f64 (neg.f64 t) z))))
	11.8%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (neg.f64 z) y)))))
	10.0%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 t z)) (.f64 t #s(literal 1 binary64))) (.f64 t (/.f64 t z))) y)))
	5.7%	#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 z)) (.f64 t t)) y)))
✓	12.5%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 (neg.f64 z) t) y)))
	12.5%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (.f64 (.f64 (/.f64 #s(literal -1 binary64) t) z) y)))
▶	11.1%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t))))
▶	17.7%	#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 (expm1.f64 z) t))))

Compiler

Compiled 578 to 569 computations (1.6% saved)

simplify340.0ms (1.7%)

Memory

-41.6MiB live, 137.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
cost-diff	0	#s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.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 (expm1.f64 z) t))))
cost-diff	0	(.f64 #s(approx (+ ( (* 1/2 z) (- y (* y y))) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)
cost-diff	0	#s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* 1/2 z) (- y (* y y))) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z))
cost-diff	0	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* 1/2 z) (- y (* y y))) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)) t)
cost-diff	0	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* 1/2 z) (- y (* y y))) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)) t))
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 z)
cost-diff	0	(*.f64 (neg.f64 z) (/.f64 y t))
cost-diff	0	#s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t)))
cost-diff	0	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t))))
cost-diff	0	(log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))
cost-diff	0	(/.f64 #s(literal -1 binary64) t)
cost-diff	192	(fma.f64 (exp.f64 z) y (neg.f64 y))
cost-diff	192	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x)

Rules

3 784×	`lower-fma.f32`
3 778×	`lower-fma.f64`
1 904×	`lower-*.f32`
1 896×	`lower-*.f64`
974×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	363
0	76	363
1	141	320
2	272	320
3	514	320
4	1073	320
5	2528	320
6	4702	320
7	5478	320
8	5619	320
9	5660	320
10	5771	320
11	6150	320
12	6628	320
13	6727	320
14	6763	320
15	6767	320
16	6767	320
17	6811	320
18	6895	320
19	7038	320
20	7092	320
21	7136	320
22	7162	320
23	7162	320
0	7162	310

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize359.0ms (1.8%)

Memory

19.5MiB live, 525.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.015625	(/.f64 (expm1.f64 z) t)
accuracy	2.306114859616256	(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
accuracy	12.161333193645694	#s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t)))
accuracy	46.41499418532317	#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 (expm1.f64 z) t))))
accuracy	1.4574633928237595	(.f64 #s(approx (+ ( (* 1/2 z) (- y (* y y))) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)
accuracy	3.6265078578736154	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* 1/2 z) (- y (* y y))) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)) t)
accuracy	8.509875447265607	#s(approx (+ (* (* 1/2 z) (- y (* y y))) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y))
accuracy	26.85300596769854	#s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* 1/2 z) (- y (* y y))) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z))
accuracy	0	(/.f64 t y)
accuracy	0.00390625	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y))))
accuracy	6.447831993731957	(/.f64 z (/.f64 t y))
accuracy	23.934580719435477	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y)))
accuracy	0	(neg.f64 z)
accuracy	6.443885278262344	(*.f64 (neg.f64 z) (/.f64 y t))
accuracy	23.934580719435477	#s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t)))
accuracy	46.41499418532317	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t))))
accuracy	0	(log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))
accuracy	0	(exp.f64 z)
accuracy	0.7856564577724022	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x)
accuracy	27.70483957347413	(fma.f64 (exp.f64 z) y (neg.f64 y))

Samples

178.0ms	165×	1	valid
137.0ms	61×	2	valid
9.0ms	30×	0	valid

Compiler

Compiled 243 to 44 computations (81.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 259.0ms

ival-exp: 60.0ms (23.1% of total)

ival-div: 53.0ms (20.4% of total)

ival-mult: 49.0ms (18.9% of total)

ival-log: 33.0ms (12.7% of total)

adjust: 21.0ms (8.1% of total)

ival-expm1: 13.0ms (5% of total)

ival-log1p: 12.0ms (4.6% of total)

ival-add: 10.0ms (3.9% of total)

ival-sub: 6.0ms (2.3% of total)

ival-neg: 3.0ms (1.2% of total)

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

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

exact: 0.0ms (0% of total)

series175.0ms (0.9%)

Memory

27.8MiB live, 270.3MiB allocated

Counts

23 → 708

Calls

Call 1

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

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

12 calls:

Time	Variable		Point	Expression
34.0ms	t	@	inf	((+ (* (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y))))) x) (+ (* (exp z) y) (neg y)) (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (* (neg z) (/ y t)) (neg z) (/ 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) (log (+ (- 1 y) (* y (exp z)))) (* (+ (* (* 1/2 z) (- y (* y y))) y) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (* (neg y) (/ (- (exp z) 1) t)) (neg y) (exp z) (+ (* (* 1/2 z) (- y (* y y))) y) (/ (- (exp z) 1) t))
24.0ms	t	@	-inf	((+ (* (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y))))) x) (+ (* (exp z) y) (neg y)) (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (* (neg z) (/ y t)) (neg z) (/ 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) (log (+ (- 1 y) (* y (exp z)))) (* (+ (* (* 1/2 z) (- y (* y y))) y) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (* (neg y) (/ (- (exp z) 1) t)) (neg y) (exp z) (+ (* (* 1/2 z) (- y (* y y))) y) (/ (- (exp z) 1) t))
22.0ms	y	@	-inf	((+ (* (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y))))) x) (+ (* (exp z) y) (neg y)) (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (* (neg z) (/ y t)) (neg z) (/ 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) (log (+ (- 1 y) (* y (exp z)))) (* (+ (* (* 1/2 z) (- y (* y y))) y) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (* (neg y) (/ (- (exp z) 1) t)) (neg y) (exp z) (+ (* (* 1/2 z) (- y (* y y))) y) (/ (- (exp z) 1) t))
19.0ms	t	@	0	((+ (* (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y))))) x) (+ (* (exp z) y) (neg y)) (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (* (neg z) (/ y t)) (neg z) (/ 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) (log (+ (- 1 y) (* y (exp z)))) (* (+ (* (* 1/2 z) (- y (* y y))) y) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (* (neg y) (/ (- (exp z) 1) t)) (neg y) (exp z) (+ (* (* 1/2 z) (- y (* y y))) y) (/ (- (exp z) 1) t))
19.0ms	z	@	inf	((+ (* (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y))))) x) (+ (* (exp z) y) (neg y)) (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (* (neg z) (/ y t)) (neg z) (/ 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) (log (+ (- 1 y) (* y (exp z)))) (* (+ (* (* 1/2 z) (- y (* y y))) y) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (* (neg y) (/ (- (exp z) 1) t)) (neg y) (exp z) (+ (* (* 1/2 z) (- y (* y y))) y) (/ (- (exp z) 1) t))

simplify255.0ms (1.3%)

Memory

1.6MiB live, 217.9MiB allocated

Algorithm

1×	egg-herbie

Rules

14 930×	`lower-fma.f64`
14 930×	`lower-fma.f32`
5 444×	`lower-*.f64`
5 444×	`lower-*.f32`
4 304×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	530	10190
1	1710	9758
2	5198	9429
0	8622	7566

Stop Event

1×	iter limit
1×	node limit

Counts

708 → 677

Calls

Call 1

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

rewrite196.0ms (1%)

Memory

4.4MiB live, 334.9MiB allocated

Rules

4 364×	`lower-*.f32`
4 356×	`lower-*.f64`
4 174×	`lower-/.f32`
4 162×	`lower-/.f64`
3 310×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	327
0	76	327
1	323	284
2	2597	284
0	8480	279

Stop Event

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

Counts

23 → 448

Calls

Call 1

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

Outputs
(.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64))) (pow.f64 (+.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) x) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64)) (.f64 x x)) (pow.f64 (-.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (neg.f64 t)) x) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) (+.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) x) (*.f64 x x)) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (neg.f64 t))) (pow.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) x) (-.f64 (.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) (+.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) x) (.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (neg.f64 t)) x) (-.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (neg.f64 t))) (pow.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) (+.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) x) (.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (neg.f64 t))) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64)) (.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) x))))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) x)) (.f64 (+.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) x) (pow.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64)))) (.f64 (+.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) x) (+.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) x)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) (+.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) x) (.f64 x x))) (.f64 (fma.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) (+.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) x) (.f64 x x)) (pow.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) #s(literal 3 binary64)))) (.f64 (fma.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) (+.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) x) (.f64 x x)) (fma.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) (+.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) x) (.f64 x x))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64)) (-.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (neg.f64 t)) x)) (.f64 (-.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (neg.f64 t)) x) (.f64 x x))) (.f64 (-.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (neg.f64 t)) x) (-.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) x)))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64)) (.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (neg.f64 t)) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) (+.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) x) (.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (neg.f64 t))) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64)) (.f64 x x))) (neg.f64 (-.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) x)))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64))) (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))))
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eval150.0ms (0.8%)

Memory: 24.2MiB live, 359.6MiB allocated
Compiler: Compiled 19 416 to 2 391 computations (87.7% saved)

prune462.0ms (2.4%)

Memory

-95.3MiB live, 301.8MiB allocated

Pruning

35 alts after pruning (27 fresh and 8 done)

	Pruned	Kept	Total
New	1 133	13	1 146
Fresh	4	14	18
Picked	3	2	5
Done	0	6	6
Total	1 140	35	1 175

Accuracy

100.0%

Counts

1 175 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	86.8%	(fma.f64 (/.f64 #s(literal -1 binary64) t) (-.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 z) y) #s(literal 3 binary64))) (log1p.f64 (.f64 (.f64 (expm1.f64 z) y) (-.f64 (.f64 (expm1.f64 z) y) #s(literal 1 binary64))))) x)
	98.8%	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x)
	78.3%	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 z y))) x)
	74.1%	(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ 1 (+ (* (exp z) y) (neg y)))) (*.f64 z y)) x)
	98.8%	(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
	74.9%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
✓	85.8%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
✓	60.4%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* 1/2 z) (- y (* y y))) y) (.f64 (.f64 (*.f64 y y) z) #s(literal -1/2 binary64))) z)) t))
	57.0%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (+ (* (* 1/2 z) (- y (* y y))) y) z) (.f64 (.f64 (.f64 (.f64 z z) y) y) #s(literal -1/2 binary64)))) t))
	29.3%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 t (.f64 (neg.f64 z) y))) (.f64 (/.f64 (neg.f64 t) y) #s(literal 1 binary64))) (.f64 (/.f64 (neg.f64 t) y) (/.f64 t (*.f64 (neg.f64 z) y))))))
	45.6%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 t y)) (.f64 (/.f64 (neg.f64 t) y) (neg.f64 z))) (*.f64 (/.f64 (neg.f64 t) y) (/.f64 t y)))))
	71.8%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 y t)) (.f64 (neg.f64 y) #s(literal -1 binary64))) (*.f64 (neg.f64 y) (/.f64 y t))))))
	61.2%	(-.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)))))
	82.6%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (expm1.f64 (.f64 z #s(literal 3 binary64))) (.f64 t #s(approx (+ ( (exp z) (exp z)) (+ (exp z) 1)) (fma.f64 (fma.f64 #s(literal 5/2 binary64) z #s(literal 3 binary64)) z #s(literal 3 binary64))))) y)))
	82.1%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (expm1.f64 (.f64 z #s(literal 3 binary64))) (.f64 t #s(approx (+ ( (exp z) (exp z)) (+ (exp z) 1)) #s(literal 3 binary64)))) y)))
	74.9%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y)))
✓	73.5%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
	73.5%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) z)))
✓	26.6%	#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 #s(approx (* (- (exp z) 1) y) (*.f64 z y))) (neg.f64 t)))
✓	17.0%	#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)))
	11.8%	#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)))
	26.6%	#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)))))
	26.6%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (.f64 (expm1.f64 z) y))))
	11.0%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 (neg.f64 z) (/.f64 t y))))
	12.5%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 y (/.f64 (neg.f64 t) z))))
	11.8%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (neg.f64 z) y)))))
	11.0%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 t y) z))))
	10.0%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 t z)) (.f64 t #s(literal 1 binary64))) (.f64 t (/.f64 t z))) y)))
	5.7%	#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 z)) (.f64 t t)) y)))
✓	12.5%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 (neg.f64 z) t) y)))
	12.5%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (.f64 (.f64 (/.f64 #s(literal -1 binary64) t) z) y)))
✓	11.1%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t))))
✓	17.7%	#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 (expm1.f64 z) t))))
	11.1%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) #s(approx (* (neg y) (/ (- (exp z) 1) t)) (.f64 (/.f64 (.f64 z y) t) (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64))))))

Compiler

Compiled 1 079 to 669 computations (38% saved)

regimes147.0ms (0.8%)

Memory

28.7MiB live, 252.1MiB allocated

Counts

52 → 1

Calls

Call 1

Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 (neg.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)))
(-.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 3)) 1) (* t (+ (* (exp z) (exp z)) (+ (exp z) 1)))) (/.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 (/.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 (/.f64 #s(literal -1 binary64) t) z) y)))
(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ 1 (+ (* (exp z) y) (neg y)))) (*.f64 z y)) x)
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 y (/.f64 (neg.f64 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 z) (/.f64 t y))))
(-.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 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 #s(literal -1 binary64) t) (.f64 (neg.f64 y) z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) #s(approx (* (neg y) (/ (- (exp z) 1) t)) (.f64 (/.f64 (.f64 z y) t) (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64))))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (neg.f64 z) y)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) #s(approx (* (- (exp z) 1) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (neg.f64 t)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y)))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* 1/2 z) (- y (* y y))) y) (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 (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 t y) z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) t) (.f64 t z)) (.f64 t t)) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (+ (* (* 1/2 z) (- y (* y y))) y) z) (.f64 (.f64 (.f64 (.f64 z z) y) y) #s(literal -1/2 binary64)))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* 1/2 z) (- y (* y y))) y) (.f64 (.f64 (*.f64 y y) z) #s(literal -1/2 binary64))) z)) 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))
(-.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)))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (+ (* (* 1/2 z) (- y (* y y))) y) z) (.f64 (.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y))) y) y))) 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 z)) (.f64 t #s(literal 1 binary64))) (.f64 t (/.f64 t z))) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 y t)) (.f64 (neg.f64 y) #s(literal -1 binary64))) (*.f64 (neg.f64 y) (/.f64 y t))))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 t y)) (.f64 (/.f64 (neg.f64 t) y) (neg.f64 z))) (*.f64 (/.f64 (neg.f64 t) y) (/.f64 t y)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 t (.f64 (neg.f64 z) y))) (.f64 (/.f64 (neg.f64 t) y) #s(literal 1 binary64))) (.f64 (/.f64 (neg.f64 t) y) (/.f64 t (*.f64 (neg.f64 z) y))))))
(-.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)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) 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))
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 z y))) x)
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (expm1.f64 (.f64 z #s(literal 3 binary64))) (.f64 t #s(approx (+ ( (exp z) (exp z)) (+ (exp z) 1)) #s(literal 3 binary64)))) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (expm1.f64 (.f64 z #s(literal 3 binary64))) (.f64 t #s(approx (+ ( (exp z) (exp z)) (+ (exp z) 1)) (fma.f64 (fma.f64 #s(literal 5/2 binary64) z #s(literal 3 binary64)) z #s(literal 3 binary64))))) 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))
(-.f64 x (/.f64 (log1p.f64 (*.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))))
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x)
(-.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 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (expm1.f64 (.f64 z #s(literal 3 binary64))) (*.f64 t (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))))) y)))
(fma.f64 (/.f64 #s(literal -1 binary64) t) (-.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 z) y) #s(literal 3 binary64))) (log1p.f64 (.f64 (.f64 (expm1.f64 z) y) (-.f64 (.f64 (expm1.f64 z) y) #s(literal 1 binary64))))) x)

Outputs
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))

Calls

9 calls:

24.0ms	y
20.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
17.0ms	t
17.0ms	x
16.0ms	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))

Results

Accuracy	Segments	Branch
98.8%	1	`x`
98.8%	1	`y`
98.8%	1	`z`
98.8%	1	`t`
98.8%	1	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
98.8%	1	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
98.8%	1	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
98.8%	1	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
98.8%	1	`(exp.f64 z)`

Compiler

Compiled 47 to 63 computations (-34% saved)

regimes148.0ms (0.8%)

Memory

-16.5MiB live, 267.6MiB allocated

Counts

44 → 3

Calls

Call 1

Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 (neg.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)))
(-.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 3)) 1) (* t (+ (* (exp z) (exp z)) (+ (exp z) 1)))) (/.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 (/.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 (/.f64 #s(literal -1 binary64) t) z) y)))
(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ 1 (+ (* (exp z) y) (neg y)))) (*.f64 z y)) x)
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 y (/.f64 (neg.f64 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 z) (/.f64 t y))))
(-.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 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 #s(literal -1 binary64) t) (.f64 (neg.f64 y) z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) #s(approx (* (neg y) (/ (- (exp z) 1) t)) (.f64 (/.f64 (.f64 z y) t) (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64))))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (neg.f64 z) y)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) #s(approx (* (- (exp z) 1) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (neg.f64 t)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y)))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* 1/2 z) (- y (* y y))) y) (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 (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 t y) z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) t) (.f64 t z)) (.f64 t t)) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (+ (* (* 1/2 z) (- y (* y y))) y) z) (.f64 (.f64 (.f64 (.f64 z z) y) y) #s(literal -1/2 binary64)))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* 1/2 z) (- y (* y y))) y) (.f64 (.f64 (*.f64 y y) z) #s(literal -1/2 binary64))) z)) 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))
(-.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)))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (+ (* (* 1/2 z) (- y (* y y))) y) z) (.f64 (.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y))) y) y))) 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 z)) (.f64 t #s(literal 1 binary64))) (.f64 t (/.f64 t z))) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 y t)) (.f64 (neg.f64 y) #s(literal -1 binary64))) (*.f64 (neg.f64 y) (/.f64 y t))))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 t y)) (.f64 (/.f64 (neg.f64 t) y) (neg.f64 z))) (*.f64 (/.f64 (neg.f64 t) y) (/.f64 t y)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 t (.f64 (neg.f64 z) y))) (.f64 (/.f64 (neg.f64 t) y) #s(literal 1 binary64))) (.f64 (/.f64 (neg.f64 t) y) (/.f64 t (*.f64 (neg.f64 z) y))))))
(-.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)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) 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))
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 z y))) x)
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (expm1.f64 (.f64 z #s(literal 3 binary64))) (.f64 t #s(approx (+ ( (exp z) (exp z)) (+ (exp z) 1)) #s(literal 3 binary64)))) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (expm1.f64 (.f64 z #s(literal 3 binary64))) (.f64 t #s(approx (+ ( (exp z) (exp z)) (+ (exp z) 1)) (fma.f64 (fma.f64 #s(literal 5/2 binary64) z #s(literal 3 binary64)) z #s(literal 3 binary64))))) 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))

Outputs

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

(-.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))) (*.f64 (expm1.f64 z) y))) t))

Calls

9 calls:

29.0ms	t
22.0ms	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
16.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
16.0ms	(exp.f64 z)
14.0ms	x

Results

Accuracy	Segments	Branch
86.9%	1	`t`
86.9%	1	`x`
97.1%	3	`y`
91.7%	2	`z`
92.4%	3	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
99.5%	5	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
99.9%	3	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
99.9%	3	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
91.7%	2	`(exp.f64 z)`

Compiler

Compiled 47 to 63 computations (-34% saved)

regimes50.0ms (0.3%)

Memory

-3.5MiB live, 113.2MiB allocated

Counts

43 → 3

Calls

Call 1

Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 (neg.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)))
(-.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 3)) 1) (* t (+ (* (exp z) (exp z)) (+ (exp z) 1)))) (/.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 (/.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 (/.f64 #s(literal -1 binary64) t) z) y)))
(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ 1 (+ (* (exp z) y) (neg y)))) (*.f64 z y)) x)
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 y (/.f64 (neg.f64 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 z) (/.f64 t y))))
(-.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 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 #s(literal -1 binary64) t) (.f64 (neg.f64 y) z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) #s(approx (* (neg y) (/ (- (exp z) 1) t)) (.f64 (/.f64 (.f64 z y) t) (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64))))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (neg.f64 z) y)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) #s(approx (* (- (exp z) 1) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (neg.f64 t)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y)))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* 1/2 z) (- y (* y y))) y) (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 (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 t y) z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) t) (.f64 t z)) (.f64 t t)) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (+ (* (* 1/2 z) (- y (* y y))) y) z) (.f64 (.f64 (.f64 (.f64 z z) y) y) #s(literal -1/2 binary64)))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* 1/2 z) (- y (* y y))) y) (.f64 (.f64 (*.f64 y y) z) #s(literal -1/2 binary64))) z)) 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))
(-.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)))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (+ (* (* 1/2 z) (- y (* y y))) y) z) (.f64 (.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y))) y) y))) 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 z)) (.f64 t #s(literal 1 binary64))) (.f64 t (/.f64 t z))) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 y t)) (.f64 (neg.f64 y) #s(literal -1 binary64))) (*.f64 (neg.f64 y) (/.f64 y t))))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 t y)) (.f64 (/.f64 (neg.f64 t) y) (neg.f64 z))) (*.f64 (/.f64 (neg.f64 t) y) (/.f64 t y)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 t (.f64 (neg.f64 z) y))) (.f64 (/.f64 (neg.f64 t) y) #s(literal 1 binary64))) (.f64 (/.f64 (neg.f64 t) y) (/.f64 t (*.f64 (neg.f64 z) y))))))
(-.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)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) 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))
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 z y))) x)
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (expm1.f64 (.f64 z #s(literal 3 binary64))) (.f64 t #s(approx (+ ( (exp z) (exp z)) (+ (exp z) 1)) #s(literal 3 binary64)))) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (expm1.f64 (.f64 z #s(literal 3 binary64))) (.f64 t #s(approx (+ ( (exp z) (exp z)) (+ (exp z) 1)) (fma.f64 (fma.f64 #s(literal 5/2 binary64) z #s(literal 3 binary64)) z #s(literal 3 binary64))))) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))

Outputs

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

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

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

Calls

4 calls:

14.0ms	y
13.0ms	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
11.0ms	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
9.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))

Results

Accuracy	Segments	Branch
97.5%	5	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
94.1%	3	`y`
95.6%	3	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
95.6%	3	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`

Compiler

Compiled 29 to 34 computations (-17.2% saved)

regimes110.0ms (0.6%)

Memory

7.4MiB live, 90.5MiB allocated

Counts

42 → 3

Calls

Call 1

Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 (neg.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)))
(-.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 3)) 1) (* t (+ (* (exp z) (exp z)) (+ (exp z) 1)))) (/.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 (/.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 (/.f64 #s(literal -1 binary64) t) z) y)))
(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ 1 (+ (* (exp z) y) (neg y)))) (*.f64 z y)) x)
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 y (/.f64 (neg.f64 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 z) (/.f64 t y))))
(-.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 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 #s(literal -1 binary64) t) (.f64 (neg.f64 y) z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) #s(approx (* (neg y) (/ (- (exp z) 1) t)) (.f64 (/.f64 (.f64 z y) t) (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64))))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (neg.f64 z) y)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) #s(approx (* (- (exp z) 1) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (neg.f64 t)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y)))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* 1/2 z) (- y (* y y))) y) (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 (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 t y) z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) t) (.f64 t z)) (.f64 t t)) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (+ (* (* 1/2 z) (- y (* y y))) y) z) (.f64 (.f64 (.f64 (.f64 z z) y) y) #s(literal -1/2 binary64)))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* 1/2 z) (- y (* y y))) y) (.f64 (.f64 (*.f64 y y) z) #s(literal -1/2 binary64))) z)) 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))
(-.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)))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (+ (* (* 1/2 z) (- y (* y y))) y) z) (.f64 (.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y))) y) y))) 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 z)) (.f64 t #s(literal 1 binary64))) (.f64 t (/.f64 t z))) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 y t)) (.f64 (neg.f64 y) #s(literal -1 binary64))) (*.f64 (neg.f64 y) (/.f64 y t))))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 t y)) (.f64 (/.f64 (neg.f64 t) y) (neg.f64 z))) (*.f64 (/.f64 (neg.f64 t) y) (/.f64 t y)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 t (.f64 (neg.f64 z) y))) (.f64 (/.f64 (neg.f64 t) y) #s(literal 1 binary64))) (.f64 (/.f64 (neg.f64 t) y) (/.f64 t (*.f64 (neg.f64 z) y))))))
(-.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)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) 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))
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 z y))) x)
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (expm1.f64 (.f64 z #s(literal 3 binary64))) (.f64 t #s(approx (+ ( (exp z) (exp z)) (+ (exp z) 1)) #s(literal 3 binary64)))) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (expm1.f64 (.f64 z #s(literal 3 binary64))) (.f64 t #s(approx (+ ( (exp z) (exp z)) (+ (exp z) 1)) (fma.f64 (fma.f64 #s(literal 5/2 binary64) z #s(literal 3 binary64)) z #s(literal 3 binary64))))) y)))

Outputs

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

(-.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

4 calls:

47.0ms	y
42.0ms	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
10.0ms	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
9.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))

Results

Accuracy	Segments	Branch
92.2%	3	`y`
93.0%	3	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
94.0%	3	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
94.0%	3	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`

Compiler

Compiled 29 to 34 computations (-17.2% saved)

regimes164.0ms (0.8%)

Memory

-13.6MiB live, 107.1MiB allocated

Counts

39 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

7 calls:

66.0ms	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
27.0ms	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
11.0ms	y
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
90.6%	3	`y`
86.9%	1	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
86.9%	1	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
86.9%	1	`(exp.f64 z)`
86.9%	1	`z`
88.5%	2	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
88.5%	2	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`

Compiler

Compiled 45 to 55 computations (-22.2% saved)

regimes43.0ms (0.2%)

Memory

15.9MiB live, 55.1MiB allocated

Counts

38 → 2

Calls

Call 1

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

3 calls:

21.0ms	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
11.0ms	y
9.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))

Results

Accuracy	Segments	Branch
88.5%	2	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
88.5%	2	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
86.9%	1	`y`

Compiler

Compiled 18 to 23 computations (-27.8% saved)

regimes208.0ms (1.1%)

Memory

-9.5MiB live, 149.0MiB allocated

Counts

36 → 2

Calls

Call 1

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

Calls

9 calls:

85.0ms	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
34.0ms	z
26.0ms	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
14.0ms	x
10.0ms	t

Results

Accuracy	Segments	Branch
82.9%	2	`z`
82.5%	2	`(exp.f64 z)`
80.3%	3	`x`
79.5%	3	`y`
79.5%	3	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
81.1%	4	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
80.9%	3	`t`
81.8%	3	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
81.8%	3	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`

Compiler

Compiled 47 to 63 computations (-34% saved)

regimes61.0ms (0.3%)

Memory

21.4MiB live, 60.7MiB allocated

Counts

32 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

17.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
9.0ms	x
9.0ms	t
9.0ms	z
7.0ms	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))

Results

Accuracy	Segments	Branch
74.9%	1	`x`
74.9%	1	`t`
78.6%	2	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
78.6%	2	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
78.6%	2	`(exp.f64 z)`
78.7%	2	`z`

Compiler

Compiled 22 to 36 computations (-63.6% saved)

regimes98.0ms (0.5%)

Memory

-26.1MiB live, 55.7MiB allocated

Counts

29 → 2

Calls

Call 1

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

Outputs

(-.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)))))

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

Calls

7 calls:

45.0ms	(exp.f64 z)
13.0ms	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
8.0ms	z
8.0ms	y
7.0ms	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)

Results

Accuracy	Segments	Branch
74.9%	1	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
74.9%	1	`y`
74.9%	1	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
76.9%	2	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
76.9%	2	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
77.1%	2	`(exp.f64 z)`
77.5%	2	`z`

Compiler

Compiled 45 to 55 computations (-22.2% saved)

regimes38.0ms (0.2%)

Memory

9.9MiB live, 46.9MiB allocated

Counts

26 → 2

Calls

Call 1

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

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

Calls

4 calls:

16.0ms	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
8.0ms	z
6.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
6.0ms	(exp.f64 z)

Results

Accuracy	Segments	Branch
76.9%	2	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
76.9%	2	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
76.9%	2	`(exp.f64 z)`
76.9%	2	`z`

Compiler

Compiled 20 to 28 computations (-40% saved)

regimes11.0ms (0.1%)

Memory

20.0MiB live, 20.0MiB allocated

Counts

19 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
76.9%	2	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
76.9%	2	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`

Compiler

Compiled 17 to 19 computations (-11.8% saved)

regimes35.0ms (0.2%)

Memory

-16.3MiB live, 20.3MiB allocated

Counts

7 → 2

Calls

Call 1

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

Calls

3 calls:

30.0ms	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
2.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
2.0ms	(exp.f64 z)

Results

Accuracy	Segments	Branch
76.9%	2	`(exp.f64 z)`
76.9%	2	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
76.9%	2	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes28.0ms (0.1%)

Memory

-7.1MiB live, 30.9MiB allocated

Counts

5 → 1

Calls

Call 1

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

7 calls:

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

Results

Accuracy	Segments	Branch
74.9%	1	`y`
74.9%	1	`t`
74.9%	1	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
74.9%	1	`z`
74.9%	1	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
74.9%	1	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
74.9%	1	`(exp.f64 z)`

Compiler

Compiled 33 to 47 computations (-42.4% saved)

regimes39.0ms (0.2%)

Memory

-2.9MiB live, 44.8MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

Calls

9 calls:

24.0ms	x
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	z
2.0ms	y

Results

Accuracy	Segments	Branch
12.5%	1	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
12.5%	1	`x`
12.5%	1	`y`
12.5%	1	`z`
12.5%	1	`t`
12.5%	1	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
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	`(exp.f64 z)`

Compiler

Compiled 47 to 63 computations (-34% saved)

regimes12.0ms (0.1%)

Memory

23.1MiB live, 23.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

9 calls:

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

Results

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

Compiler

Compiled 47 to 63 computations (-34% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.0	1243.9276301545156
0.0ms	0.0	0.8950350207014708

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.481396288466576e+63	1.1449739532304344e+80
0.0ms	0.0	0.8950350207014708

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.538135287980759e+103	2.4865262229351225e+107
0.0ms	0.0	0.8950350207014708

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch228.0ms (1.2%)

Memory

-16.0MiB live, 142.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
138.0ms	6.993621128611183e+149	1.0622235167505787e+161
82.0ms	-2.757644449667779e+201	-5.202044189587207e+199

Samples

116.0ms	216×	1	valid
53.0ms	56×	0	valid
28.0ms	64×	1	invalid
8.0ms	113×	0	invalid

Compiler

Compiled 339 to 376 computations (-10.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 161.0ms

ival-exp: 67.0ms (41.5% of total)

ival-sub: 56.0ms (34.7% of total)

ival-log: 17.0ms (10.5% of total)

adjust: 7.0ms (4.3% of total)

ival-div: 5.0ms (3.1% of total)

ival-mult: 5.0ms (3.1% of total)

ival-add: 4.0ms (2.5% 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

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.538135287980759e+103	2.4865262229351225e+107

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch31.0ms (0.2%)

Memory

7.5MiB live, 7.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	-1.578679113209856e-28	-1.8427892857153594e-31

Samples

15.0ms	60×	1	valid
6.0ms	68×	0	valid
1.0ms	11×	0	invalid

Compiler

Compiled 144 to 179 computations (-24.3% saved)

Precisions

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

ival-log: 7.0ms (39.7% of total)

ival-exp: 3.0ms (17% of total)

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

adjust: 2.0ms (11.3% of total)

ival-add: 1.0ms (5.7% of total)

ival-div: 1.0ms (5.7% of total)

ival-mult: 1.0ms (5.7% of total)

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

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

exact: 0.0ms (0% of total)

bsearch40.0ms (0.2%)

Memory

-14.2MiB live, 22.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
38.0ms	-1.6629572900873363e+194	-2.25303802514036e+191

Samples

9.0ms	33×	1	valid
8.0ms	95×	0	valid
1.0ms	17×	0	invalid

Compiler

Compiled 264 to 235 computations (11% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-log: 6.0ms (46.8% of total)

ival-sub: 2.0ms (15.6% of total)

ival-add: 1.0ms (7.8% of total)

ival-div: 1.0ms (7.8% of total)

adjust: 1.0ms (7.8% of total)

ival-exp: 1.0ms (7.8% of total)

ival-mult: 1.0ms (7.8% of total)

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

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

exact: 0.0ms (0% of total)

bsearch25.0ms (0.1%)

Memory

17.0MiB live, 54.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	-1.6629572900873363e+194	-2.25303802514036e+191

Samples

9.0ms	35×	1	valid
8.0ms	61×	0	valid
1.0ms	14×	0	invalid

Compiler

Compiled 232 to 219 computations (5.6% saved)

Precisions

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

ival-log: 6.0ms (41% of total)

ival-sub: 4.0ms (27.4% of total)

ival-add: 1.0ms (6.8% of total)

ival-div: 1.0ms (6.8% of total)

adjust: 1.0ms (6.8% of total)

ival-exp: 1.0ms (6.8% of total)

ival-mult: 1.0ms (6.8% of total)

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

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

exact: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.8950350207014708

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.8950350207014708

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.8950350207014708

Compiler

Compiled 16 to 19 computations (-18.8% saved)

simplify71.0ms (0.4%)

Memory

-5.8MiB live, 79.3MiB allocated

Algorithm

1×	egg-herbie

Rules

382×	`distribute-lft-neg-in-binary64-*.f64-neg.f64`
232×	`neg-mul-1-binary64-*.f64-neg.f64`
210×	`neg-sub0-binary64--.f64-neg.f64`
164×	`sub-neg-binary64-neg.f64-+.f64--.f64`
138×	`distribute-rgt-neg-in-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	130	762
1	198	760
2	303	759
3	441	759
4	614	758
5	809	758
6	1022	758
7	1185	758
8	1259	758
9	1265	758

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ ( (exp z) y) (neg y)) (.f64 z y))) x) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 4 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))) (*.f64 (expm1.f64 z) y))) t))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ ( (exp z) y) (neg y)) (.f64 z y))) x) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 10000000000000000213204190094543968723012578712679649467743338496 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (expm1.f64 z) t) y))) #s(approx (- x (/ (log (+ (- 1 y) ( y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ ( (exp z) y) (neg y)) (.f64 z y))) x) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 100000000000000000191567508573466873621595512726519201115280351459937932420398875596123614510818032353280 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))))
(if (<=.f64 y #s(literal -139999999999999992363353955724141200713065936627904092798142497877481279333333221265292090657134399084598502884896007090563281316137983380277031296488809496798505163387346922095134405282117378593783808 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 37000000000000001646337934209720886725008329357804025925129889017662911464621902058705531255853337086658213518263937427138994439932591365269471885686350028996608 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 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 100000000000000000191567508573466873621595512726519201115280351459937932420398875596123614510818032353280 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)))
(if (<=.f64 z #s(literal -6913231011544493/44601490397061246283071436545296723011960832 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))))
(if (<=.f64 z #s(literal -229999999999999992944890925965283753228736740733531331592462397915021707923122463794263957953035316539659895588647222585334242425214283939013235119492788244336459474138067803384223726619852800 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 y t)) (.f64 (neg.f64 y) #s(literal -1 binary64))) (.f64 (neg.f64 y) (/.f64 y t)))))) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))))
(if (<=.f64 z #s(literal -1450000000000000065637934580415503173813593158589098653941394021482060363863410940931993869307671335751766596847070781232766111046145130700647697549025508065063445738843733519859382050545991680 binary64)) (-.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))))) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (.f64 z y))))) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 (/.f64 y t) z))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 z y)) t)) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 (/.f64 y t) z))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 #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 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 (neg.f64 z) t) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t))))

Outputs
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ ( (exp z) y) (neg y)) (.f64 z y))) x) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 4 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))) (*.f64 (expm1.f64 z) y))) t))))
(if (<=.f64 (+.f64 (.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ ( (exp z) y) (neg y)) (.f64 y z))) x) (if (<=.f64 (+.f64 (.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 4 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))) (*.f64 y (expm1.f64 z)))) t))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ ( (exp z) y) (neg y)) (.f64 z y))) x) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 10000000000000000213204190094543968723012578712679649467743338496 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (expm1.f64 z) t) y))) #s(approx (- x (/ (log (+ (- 1 y) ( y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))))
(if (<=.f64 (+.f64 (.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ ( (exp z) y) (neg y)) (.f64 y z))) x) (if (<=.f64 (+.f64 (.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 10000000000000000213204190094543968723012578712679649467743338496 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (expm1.f64 z) t) y))) #s(approx (- x (/ (log (+ (- 1 y) ( y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ ( (exp z) y) (neg y)) (.f64 z y))) x) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 100000000000000000191567508573466873621595512726519201115280351459937932420398875596123614510818032353280 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))))
(if (<=.f64 (+.f64 (.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ ( (exp z) y) (neg y)) (.f64 y z))) x) (if (<=.f64 (+.f64 (.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 100000000000000000191567508573466873621595512726519201115280351459937932420398875596123614510818032353280 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))))
(if (<=.f64 y #s(literal -139999999999999992363353955724141200713065936627904092798142497877481279333333221265292090657134399084598502884896007090563281316137983380277031296488809496798505163387346922095134405282117378593783808 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 37000000000000001646337934209720886725008329357804025925129889017662911464621902058705531255853337086658213518263937427138994439932591365269471885686350028996608 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 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 100000000000000000191567508573466873621595512726519201115280351459937932420398875596123614510818032353280 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)))
(if (<=.f64 (+.f64 (.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 100000000000000000191567508573466873621595512726519201115280351459937932420398875596123614510818032353280 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)))
(if (<=.f64 z #s(literal -6913231011544493/44601490397061246283071436545296723011960832 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))))
(if (<=.f64 z #s(literal -229999999999999992944890925965283753228736740733531331592462397915021707923122463794263957953035316539659895588647222585334242425214283939013235119492788244336459474138067803384223726619852800 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 y t)) (.f64 (neg.f64 y) #s(literal -1 binary64))) (.f64 (neg.f64 y) (/.f64 y t)))))) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))))
(if (<=.f64 z #s(literal -229999999999999992944890925965283753228736740733531331592462397915021707923122463794263957953035316539659895588647222585334242425214283939013235119492788244336459474138067803384223726619852800 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 (-.f64 y (.f64 (/.f64 y t) #s(literal 0 binary64))) (.f64 (/.f64 y t) y))))) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))))
(if (<=.f64 z #s(literal -1450000000000000065637934580415503173813593158589098653941394021482060363863410940931993869307671335751766596847070781232766111046145130700647697549025508065063445738843733519859382050545991680 binary64)) (-.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))))) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))))
(if (<=.f64 z #s(literal -1450000000000000065637934580415503173813593158589098653941394021482060363863410940931993869307671335751766596847070781232766111046145130700647697549025508065063445738843733519859382050545991680 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 (-.f64 (.f64 t y) (.f64 #s(literal 0 binary64) y)) (.f64 y y))))) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (.f64 z y))))) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 (/.f64 y t) z))))
(if (<=.f64 (+.f64 (.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (.f64 y z))))) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 (/.f64 y t) z))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 z y)) t)) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 (/.f64 y t) z))))
(if (<=.f64 (+.f64 (.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 y z)) t)) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 (/.f64 y t) z))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 #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))))
(if (<=.f64 (+.f64 (.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)) (-.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 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 (neg.f64 z) t) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 (neg.f64 y) t) z)))

soundness1.6s (8.2%)

Memory

-36.8MiB live, 1 223.3MiB allocated

Rules

15 880×	`lower-fma.f64`
15 880×	`lower-fma.f32`
14 930×	`lower-fma.f64`
14 930×	`lower-fma.f32`
14 918×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	327
0	76	327
1	323	284
2	2597	284
0	8480	279
0	335	2420
1	1012	2316
2	3176	2227
0	8212	1752
0	530	10190
1	1710	9758
2	5198	9429
0	8622	7566
0	62	440
0	92	440
1	342	388
2	2564	380
0	8439	354
0	528	11142
1	1727	10747
2	5242	10256
0	8771	8059
0	12	45
0	19	45
1	73	45
2	593	45
3	7204	45
0	8984	38
0	38	275
0	60	275
1	254	275
2	2049	275
0	9436	264

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

Compiler

Compiled 739 to 474 computations (35.9% saved)

preprocess243.0ms (1.2%)

Memory: 38.1MiB live, 394.5MiB allocated
Compiler: Compiled 930 to 300 computations (67.7% 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%)

analyze369.0ms (1.9%)

sample8.2s (42.4%)

explain341.0ms (1.8%)

preprocess381.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify34.0ms (0.2%)

localize225.0ms (1.2%)

series288.0ms (1.5%)

simplify404.0ms (2.1%)

rewrite218.0ms (1.1%)

eval64.0ms (0.3%)

prune149.0ms (0.8%)

simplify231.0ms (1.2%)

localize232.0ms (1.2%)

series314.0ms (1.6%)

simplify263.0ms (1.4%)

rewrite198.0ms (1%)

eval176.0ms (0.9%)

prune175.0ms (0.9%)

simplify135.0ms (0.7%)

localize396.0ms (2%)

series278.0ms (1.4%)

simplify404.0ms (2.1%)

rewrite182.0ms (0.9%)

eval218.0ms (1.1%)

prune155.0ms (0.8%)

simplify340.0ms (1.7%)

localize359.0ms (1.8%)

series175.0ms (0.9%)

simplify255.0ms (1.3%)

rewrite196.0ms (1%)

eval150.0ms (0.8%)

prune462.0ms (2.4%)

regimes147.0ms (0.8%)

regimes148.0ms (0.8%)

regimes50.0ms (0.3%)

regimes110.0ms (0.6%)

regimes164.0ms (0.8%)

regimes43.0ms (0.2%)

regimes208.0ms (1.1%)

regimes61.0ms (0.3%)

regimes98.0ms (0.5%)

regimes38.0ms (0.2%)

regimes11.0ms (0.1%)

regimes35.0ms (0.2%)

regimes28.0ms (0.1%)

regimes39.0ms (0.2%)

regimes12.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch228.0ms (1.2%)

bsearch1.0ms (0%)

bsearch31.0ms (0.2%)

bsearch40.0ms (0.2%)

bsearch25.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify71.0ms (0.4%)

soundness1.6s (8.2%)

preprocess243.0ms (1.2%)

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