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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze353.0ms (1.9%)

Memory

35.7MiB live, 495.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 14 computations (6.7% saved)

sample8.1s (43.1%)

Memory

51.8MiB live, 5 630.8MiB allocated

Samples

4.5s	4 513×	1	valid
1.0s	1 249×	5	exit
834.0ms	3 743×	0	valid
266.0ms	378×	4	exit
196.0ms	719×	1	invalid
170.0ms	1 769×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 5.3s

ival-log: 2.6s (48.3% of total)

ival-exp: 1.1s (20.7% of total)

ival-div: 452.0ms (8.5% of total)

adjust: 393.0ms (7.4% of total)

ival-sub: 376.0ms (7.1% of total)

ival-mult: 270.0ms (5.1% of total)

ival-add: 128.0ms (2.4% of total)

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

exact: 8.0ms (0.2% of total)

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

Bogosity

explain512.0ms (2.7%)

Memory

-16.0MiB live, 315.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
159	43	(-3.839544845258744e-46 -6.407611545151147e-142 -3.3208093319343257e-216 1.3022401545131436e-81)	0	-	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
74	5	(-3.396321995536268e-38 -22798899.967004795 -1.6750248839589225e-252 2.2930125940112933e-48)	0	-	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
21	0	-	3	(-3.322190281105405e-252 1.6321205794998023e-299 -1.2759397295814395e-15 2.956343928779138e-269)	`(/.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	201	0
`+.f64`	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`	cancellation	30	0
`/.f64`	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`	u/n	6	0
↳	`(exp.f64 z)`	underflow	75
↳	`(*.f64 y (exp.f64 z))`	underflow	75
↳	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`	underflow	43
`log.f64`	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`	oflow-rescue	1	0
↳	`(exp.f64 z)`	overflow	1
↳	`(*.f64 y (exp.f64 z))`	overflow	1
↳	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`	overflow	1

Confusion

	Predicted +	Predicted -
+	109	8
-	110	29

Precision

0.4977168949771689

Recall

0.9316239316239316

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	109	0	8
-	110	0	29

Precision?

0.4977168949771689

Recall?

0.9316239316239316

Freqs

test

number	freq
0	37
1	200
2	19

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

220.0ms	358×	1	valid
45.0ms	84×	2	valid
6.0ms	70×	0	valid

Compiler

Compiled 127 to 40 computations (68.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 237.0ms

ival-exp: 133.0ms (56.1% of total)

ival-log: 61.0ms (25.7% of total)

adjust: 13.0ms (5.5% of total)

ival-sub: 10.0ms (4.2% of total)

ival-div: 8.0ms (3.4% of total)

ival-mult: 6.0ms (2.5% of total)

ival-add: 5.0ms (2.1% of total)

ival-true: 1.0ms (0.4% of total)

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

exact: 0.0ms (0% of total)

preprocess413.0ms (2.2%)

Memory

1.7MiB live, 76.3MiB 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

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.9%	(-.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)

simplify32.0ms (0.2%)

Memory

24.6MiB live, 24.6MiB 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

localize271.0ms (1.4%)

Memory

-0.5MiB live, 152.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
accuracy	4.6980269427306105	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
accuracy	17.379517716352975	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
accuracy	36.47359570809348	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))

Samples

190.0ms	179×	1	valid
36.0ms	35×	0	valid
35.0ms	42×	2	valid

Compiler

Compiled 57 to 14 computations (75.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 210.0ms

ival-log: 138.0ms (65.8% of total)

ival-sub: 40.0ms (19.1% of total)

ival-exp: 15.0ms (7.2% of total)

adjust: 7.0ms (3.3% of total)

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

ival-mult: 3.0ms (1.4% of total)

ival-add: 2.0ms (1% of total)

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

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

exact: 0.0ms (0% of total)

series165.0ms (0.9%)

Memory

-3.0MiB live, 269.6MiB allocated

Counts

4 → 132

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>) () ())

Outputs
#s(alt (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) (taylor 0 t) (#s(alt (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) t)) (patch (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) t)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) (taylor 0 t) (#s(alt (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) t)) (patch (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) t)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) (taylor 0 t) (#s(alt (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) t)) (patch (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) t)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) (taylor 0 t) (#s(alt (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) t)) (patch (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) t)) #<representation binary64>) () ())) ())
#s(alt (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor 0 t) (#s(alt (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) t) (patch (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) t) #<representation binary64>) () ())) ())
#s(alt (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor 0 t) (#s(alt (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) t) (patch (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) t) #<representation binary64>) () ())) ())
#s(alt (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor 0 t) (#s(alt (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) t) (patch (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) t) #<representation binary64>) () ())) ())
#s(alt (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor 0 t) (#s(alt (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) t) (patch (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) t) #<representation binary64>) () ())) ())
#s(alt x (taylor inf t) (#s(alt (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) t)) (patch (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) t)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) (taylor inf t) (#s(alt (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) t)) (patch (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) t)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) (taylor inf t) (#s(alt (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) t)) (patch (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) t)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) (taylor inf t) (#s(alt (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) t)) (patch (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) t)) #<representation binary64>) () ())) ())
#s(alt (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor inf t) (#s(alt (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) t) (patch (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) t) #<representation binary64>) () ())) ())
#s(alt (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor inf t) (#s(alt (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) t) (patch (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) t) #<representation binary64>) () ())) ())
#s(alt (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor inf t) (#s(alt (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) t) (patch (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) t) #<representation binary64>) () ())) ())
#s(alt (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor inf t) (#s(alt (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) t) (patch (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) t) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf t) (#s(alt (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) t)) (patch (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) t)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) (taylor -inf t) (#s(alt (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) t)) (patch (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) t)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) (taylor -inf t) (#s(alt (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) t)) (patch (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) t)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) (taylor -inf t) (#s(alt (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) t)) (patch (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) t)) #<representation binary64>) () ())) ())
#s(alt (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor -inf t) (#s(alt (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) t) (patch (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) t) #<representation binary64>) () ())) ())
#s(alt (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor -inf t) (#s(alt (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) t) (patch (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) t) #<representation binary64>) () ())) ())
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#s(alt (* 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))) (taylor 0 y) (#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 (* y (- (exp z) 1)) (taylor inf y) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) (patch (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (exp z) (/ 1 y)) 1)) (taylor inf y) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) (patch (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (exp z) (/ 1 y)) 1)) (taylor inf y) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) (patch (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (exp z) (/ 1 y)) 1)) (taylor inf y) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) (patch (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) (taylor inf y) (#s(alt (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) (patch (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) #<representation binary64>) () ())) ())
#s(alt (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) (taylor inf y) (#s(alt (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) (patch (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp z) 1) 2)))) (taylor inf y) (#s(alt (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) (patch (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (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))))) (taylor inf y) (#s(alt (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) (patch (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) #<representation binary64>) () ())) ())
#s(alt (- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t))) (taylor inf y) (#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)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) (taylor inf y) (#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 (/ 1/2 (* 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)))) (taylor inf y) (#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 (* 1/2 (/ 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))))) (taylor inf y) (#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 (- (exp z) 1)) (* -1 (log (/ 1 y)))) t) (taylor inf y) (#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 (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) (taylor inf y) (#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 (- (+ (* -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))))) (taylor inf y) (#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 (- (+ (* -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)))))) (taylor inf y) (#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 (* -1 (* y (+ 1 (* -1 (exp z))))) (taylor -inf y) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) (patch (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) (taylor -inf y) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) (patch (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) (taylor -inf y) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) (patch (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) (taylor -inf y) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) (patch (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) (taylor -inf y) (#s(alt (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) (patch (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) (/ 1 (* y (+ 1 (* -1 (exp z)))))) (taylor -inf y) (#s(alt (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) (patch (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) #<representation binary64>) () ())) ())
#s(alt (+ (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)))) (taylor -inf y) (#s(alt (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) (patch (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) #<representation binary64>) () ())) ())
#s(alt (+ (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)))) (taylor -inf y) (#s(alt (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) (patch (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) #<representation binary64>) () ())) ())
#s(alt (- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) (taylor -inf y) (#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 (* t (* y (+ 1 (* -1 (exp z))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) (taylor -inf y) (#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 (+ (/ 1/2 (* 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))) (taylor -inf y) (#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 (/ (- (* -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))) (taylor -inf y) (#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 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t) (taylor -inf y) (#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 (- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) (taylor -inf y) (#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 (+ (* -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))) (taylor -inf y) (#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 (+ (* -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))) (taylor -inf y) (#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 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) (taylor 0 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>) () ())) ())
#s(alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) (taylor 0 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>) () ())) ())
#s(alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) (taylor 0 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>) () ())) ())
#s(alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) (taylor 0 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>) () ())) ())
#s(alt x (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>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) (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>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) (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>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) (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>) () ())) ())
#s(alt x (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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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
51.0ms	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))
46.0ms	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))
22.0ms	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))
18.0ms	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))
12.0ms	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))

simplify426.0ms (2.3%)

Memory

-64.9MiB live, 310.5MiB allocated

Algorithm

1×	egg-herbie

Rules

15 758×	`lower-fma.f64`
15 758×	`lower-fma.f32`
6 600×	`lower-+.f64`
6 600×	`lower-+.f32`
5 260×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	332	2306
1	1006	2202
2	3145	2115
0	8170	1646

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 126

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))))))))
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Outputs
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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)

rewrite240.0ms (1.3%)

Memory

9.7MiB live, 285.1MiB 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	41
0	19	41
1	73	41
2	593	41
3	7204	41
0	8984	34

Stop Event

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

Counts

4 → 281

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)

Outputs
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eval97.0ms (0.5%)

Memory: -3.2MiB live, 200.4MiB allocated
Compiler: Compiled 12 271 to 1 588 computations (87.1% saved)

prune27.0ms (0.1%)

Memory

-2.9MiB live, 79.6MiB allocated

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	387	20	407
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	388	20	408

Accuracy

99.6%

Counts

408 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	81.0%	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x)
	68.1%	(-.f64 x (/.f64 (+.f64 (log1p.f64 (neg.f64 (pow.f64 (fma.f64 (neg.f64 y) (exp.f64 z) y) #s(literal 3 binary64)))) (log.f64 (/.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))))) t))
▶	62.1%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (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)))) t))
	61.9%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)))) t))
	69.9%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
	36.3%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))
	69.7%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
	11.8%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t))
	53.7%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) z) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t))
	58.5%	(-.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))
▶	83.2%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
	69.9%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
	81.1%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))))))
	54.5%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) 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)))
▶	59.8%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (fma.f64 (.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z)))
▶	85.4%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
	71.7%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
	73.7%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t)) y x))
▶	71.7%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
	28.4%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))

Compiler

Compiled 584 to 486 computations (16.8% saved)

simplify156.0ms (0.8%)

Memory

16.6MiB live, 123.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))
cost-diff	0	(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (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))))
cost-diff	0	(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (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)))) t)
cost-diff	0	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (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)))) 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)))) t) (.f64 (fma.f64 (.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z))
cost-diff	0	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (fma.f64 (.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z)))
cost-diff	128	(.f64 (/.f64 (-.f64 y (.f64 y y)) t) #s(literal 1/2 binary64))
cost-diff	704	(fma.f64 (.f64 (/.f64 (-.f64 y (.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t))
cost-diff	0	(/.f64 y t)
cost-diff	0	(neg.f64 z)
cost-diff	0	(fma.f64 (neg.f64 z) (/.f64 y t) x)
cost-diff	0	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
cost-diff	0	(/.f64 (expm1.f64 z) t)
cost-diff	0	(*.f64 (/.f64 (expm1.f64 z) t) y)
cost-diff	0	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))
cost-diff	0	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))

Rules

9 108×	`lower-fma.f32`
9 098×	`lower-fma.f64`
4 920×	`lower-*.f32`
4 908×	`lower-*.f64`
1 686×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	400
0	72	400
1	136	400
2	270	376
3	566	376
4	1285	372
5	3368	372
6	6386	372
0	8060	343

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

localize288.0ms (1.5%)

Memory

-2.9MiB live, 391.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.09375	(fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))
accuracy	4.6980269427306105	(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (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)))) t)
accuracy	17.27704458129687	#s(approx (+ (- 1 y) (* y (exp z))) (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)))
accuracy	36.47359570809348	(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (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))))
accuracy	0.015625	(*.f64 (expm1.f64 z) y)
accuracy	0.0234375	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
accuracy	4.6980269427306105	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)
accuracy	13.535837914597565	#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))
accuracy	2.060366281047975	(.f64 (fma.f64 (.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z)
accuracy	2.8719475916102724	(/.f64 (-.f64 y (*.f64 y y)) t)
accuracy	10.741613113894136	(fma.f64 (.f64 (/.f64 (-.f64 y (.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t))
accuracy	25.73141096375163	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (fma.f64 (.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z))
accuracy	0	(/.f64 y t)
accuracy	0	(neg.f64 z)
accuracy	1.7325970859709265	(fma.f64 (neg.f64 z) (/.f64 y t) x)
accuracy	17.576166983594938	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
accuracy	0.00390625	(/.f64 (expm1.f64 z) t)
accuracy	0.0234375	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
accuracy	3.1682921781178783	(*.f64 (/.f64 (expm1.f64 z) t) y)
accuracy	13.466332124233743	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))

Samples

203.0ms	179×	1	valid
40.0ms	42×	2	valid
10.0ms	35×	0	valid

Compiler

Compiled 299 to 38 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 186.0ms

ival-log: 53.0ms (28.6% of total)

adjust: 36.0ms (19.4% of total)

ival-exp: 28.0ms (15.1% of total)

ival-mult: 27.0ms (14.6% of total)

ival-div: 14.0ms (7.5% of total)

ival-add: 14.0ms (7.5% of total)

ival-sub: 7.0ms (3.8% of total)

const: 5.0ms (2.7% of total)

ival-expm1: 2.0ms (1.1% of total)

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

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

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

exact: 0.0ms (0% of total)

series166.0ms (0.9%)

Memory

16.6MiB live, 363.9MiB allocated

Counts

23 → 756

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

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

Calls

12 calls:

Time	Variable		Point	Expression
34.0ms	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)) (+ (* (neg z) (/ y t)) x) (neg z) (/ y t) (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (* (/ (- y (* y y)) t) 1/2) (- 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 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 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (/ (- y (* y y)) t) (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (+ (* 1/6 z) 1/2))
21.0ms	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)) (+ (* (neg z) (/ y t)) x) (neg z) (/ y t) (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (* (/ (- y (* y y)) t) 1/2) (- 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 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 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (/ (- y (* y y)) t) (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (+ (* 1/6 z) 1/2))
11.0ms	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)) (+ (* (neg z) (/ y t)) x) (neg z) (/ y t) (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (* (/ (- y (* y y)) t) 1/2) (- 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 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 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (/ (- y (* y y)) t) (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (+ (* 1/6 z) 1/2))
11.0ms	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)) (+ (* (neg z) (/ y t)) x) (neg z) (/ y t) (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (* (/ (- y (* y y)) t) 1/2) (- 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 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 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (/ (- y (* y y)) t) (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (+ (* 1/6 z) 1/2))
11.0ms	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)) (+ (* (neg z) (/ y t)) x) (neg z) (/ y t) (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (* (/ (- y (* y y)) t) 1/2) (- 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 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 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (/ (- y (* y y)) t) (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (+ (* 1/6 z) 1/2))

simplify245.0ms (1.3%)

Memory

12.9MiB live, 308.5MiB allocated

Algorithm

1×	egg-herbie

Rules

18 714×	`lower-fma.f64`
18 714×	`lower-fma.f32`
5 872×	`lower-*.f64`
5 872×	`lower-*.f32`
5 312×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	496	11360
1	1604	10980
2	4845	10487
0	8742	8597

Stop Event

1×	iter limit
1×	node limit

Counts

756 → 720

Calls

Call 1

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

rewrite170.0ms (0.9%)

Memory

-6.0MiB live, 222.3MiB allocated

Rules

4 934×	`lower-*.f32`
4 922×	`lower-*.f64`
4 878×	`lower-/.f32`
4 868×	`lower-/.f64`
3 428×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	334
0	72	334
1	320	334
2	2656	334
0	9340	322

Stop Event

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

Counts

23 → 522

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

Outputs
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eval211.0ms (1.1%)

Memory: 35.4MiB live, 339.2MiB allocated
Compiler: Compiled 26 912 to 3 240 computations (88% saved)

prune199.0ms (1.1%)

Memory

-60.8MiB live, 167.4MiB allocated

Pruning

33 alts after pruning (31 fresh and 2 done)

	Pruned	Kept	Total
New	1 266	19	1 285
Fresh	3	12	15
Picked	3	2	5
Done	0	0	0
Total	1 272	33	1 305

Accuracy

99.7%

Counts

1 305 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	81.0%	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x)
	39.7%	(/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 t (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z #s(literal 1 binary64))))) #s(literal -2 binary64))) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z #s(literal 1 binary64)))) t) x))
	39.6%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z #s(literal 1 binary64)))) t) x) (-.f64 (.f64 x x) (pow.f64 (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z #s(literal 1 binary64))))) #s(literal -2 binary64)))))
	68.1%	(-.f64 x (/.f64 (+.f64 (log1p.f64 (neg.f64 (pow.f64 (fma.f64 (neg.f64 y) (exp.f64 z) y) #s(literal 3 binary64)))) (log.f64 (/.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))))) t))
✓	62.1%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (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)))) t))
	62.1%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (.f64 y #s(approx (+ ( 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z))) z y) z #s(literal 1 binary64)))) t))
	61.9%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (.f64 y #s(approx (+ ( 1/6 z) 1/2) #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t))
	69.9%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
	36.3%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))
	69.7%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
	11.8%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t))
	53.7%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) z) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) z y) z)) t))
	58.5%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) z y) z)) t))
✓	83.2%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
	69.9%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
	81.1%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))))))
▶	62.1%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z #s(literal 1 binary64)))))))
▶	83.2%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)))))
▶	54.5%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) 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)))
	44.2%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (fma.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) (.f64 #s(literal 1/2 binary64) z)) t (.f64 t y)) (.f64 t t)) z)))
	71.7%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
	72.4%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
	69.1%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (+ ( (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 y t))) z)))
▶	57.3%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (+ ( (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (.f64 (.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))) z)))
	62.5%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (.f64 (.f64 (fma.f64 (.f64 z (/.f64 z t)) #s(literal -1/2 binary64) (/.f64 (.f64 (fma.f64 (/.f64 z t) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) t)) z) y)) y) y))))
	55.9%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (.f64 (.f64 y (/.f64 (.f64 (.f64 z z) y) t)) #s(literal -1/2 binary64)))))
	63.2%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) z) (/.f64 y t) x))
	73.7%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t)) y x))
	69.9%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (*.f64 (neg.f64 z) y) (pow.f64 t #s(literal -1 binary64)) x))
	71.7%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 t y)) x))
	28.4%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
	67.8%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (fma.f64 (/.f64 y x) (/.f64 (neg.f64 z) t) #s(literal 1 binary64)) x)))
▶	15.3%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 z) t) y)))

Compiler

Compiled 1 063 to 846 computations (20.4% saved)

simplify407.0ms (2.2%)

Memory

39.3MiB live, 192.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z #s(literal 1 binary64))))
cost-diff	0	(/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z #s(literal 1 binary64)))))
cost-diff	0	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z #s(literal 1 binary64)))))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z #s(literal 1 binary64))))))
cost-diff	0	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) 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)))
cost-diff	128	(.f64 (/.f64 (-.f64 y (.f64 y y)) t) #s(literal 1/2 binary64))
cost-diff	320	(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)))
cost-diff	704	(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))
cost-diff	0	#s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (.f64 (.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64)))
cost-diff	0	(.f64 #s(approx (+ ( (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (.f64 (.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))) z)
cost-diff	0	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (+ ( (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (.f64 (.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))) z))
cost-diff	0	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (+ ( (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (.f64 (.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))) z)))
cost-diff	0	(/.f64 (neg.f64 z) t)
cost-diff	0	(*.f64 (/.f64 (neg.f64 z) t) y)
cost-diff	0	#s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 z) t) y))
cost-diff	0	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 z) t) y)))
cost-diff	0	#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))
cost-diff	0	(/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)))
cost-diff	0	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))))

Rules

21 440×	`lower-fma.f32`
21 426×	`lower-fma.f64`
4 782×	`lower-*.f32`
4 760×	`lower-*.f64`
3 352×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	694
0	111	694
1	200	692
2	422	656
3	989	656
4	2870	644
5	5981	644
0	8264	597

Stop Event

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

Calls

Call 1

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

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

localize524.0ms (2.8%)

Memory

2.9MiB live, 636.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.6214280527809324	(/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z #s(literal 1 binary64))))))
accuracy	4.720610921970312	(/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z #s(literal 1 binary64)))))
accuracy	17.27704458129687	#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z #s(literal 1 binary64)))
accuracy	36.47359570809348	(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z #s(literal 1 binary64))))
accuracy	4.291228114338704	(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))
accuracy	8.346403938604219	(.f64 (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (/.f64 z t))
accuracy	8.525687418881942	(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)))
accuracy	24.95165558770728	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) 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))
accuracy	2.060366281047975	(.f64 #s(approx (+ ( (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (.f64 (.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))) z)
accuracy	5.664940447794823	(/.f64 (*.f64 z y) t)
accuracy	25.73141096375163	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (+ ( (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (.f64 (.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))) z))
accuracy	42.475900230122484	#s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (.f64 (.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64)))
accuracy	0	(neg.f64 z)
accuracy	5.464542238330715	(*.f64 (/.f64 (neg.f64 z) t) y)
accuracy	17.576166983594938	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 z) t) y)))
accuracy	37.407321208632176	#s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 z) t) y))
accuracy	0.0234375	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)))))
accuracy	0.6214280527809324	(/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))))
accuracy	4.720610921970312	(/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)))
accuracy	13.535837914597565	#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))

Samples

415.0ms	216×	1	valid
49.0ms	35×	0	valid
8.0ms	5×	2	valid

Compiler

Compiled 475 to 59 computations (87.6% saved)

Precisions

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

ival-mult: 105.0ms (34.5% of total)

ival-sub: 80.0ms (26.3% of total)

ival-log: 35.0ms (11.5% of total)

adjust: 21.0ms (6.9% of total)

ival-div: 21.0ms (6.9% of total)

ival-add: 17.0ms (5.6% of total)

ival-exp: 17.0ms (5.6% of total)

const: 5.0ms (1.6% of total)

ival-expm1: 2.0ms (0.7% of total)

exact: 1.0ms (0.3% of total)

ival-neg: 1.0ms (0.3% of total)

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

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

series207.0ms (1.1%)

Memory

-7.9MiB live, 316.0MiB allocated

Counts

25 → 888

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
40.0ms	z	@	inf	((/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ t (log (+ (- 1 y) (* y (exp z))))) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (* (/ (neg z) t) y) (/ (neg z) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (+ (* (+ (* (* (+ (* (* y y) (+ (* 2 y) -3)) y) (/ z t)) 1/6) (* (/ (- y (* y y)) t) 1/2)) z) (/ y t)) (+ (* (* (+ (* (* y y) (+ (* 2 y) -3)) y) (/ z t)) 1/6) (* (/ (- y (* y y)) t) 1/2)) (* (/ (- y (* y y)) t) 1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ t (log (+ (- 1 y) (* y (exp z))))) (log (+ (- 1 y) (* y (exp z)))) (neg z) (/ (* z y) t) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (+ (* (* y y) (+ (* 2 y) -3)) y) (/ z t)) (+ (- 1 y) (* y (exp z))))
33.0ms	y	@	inf	((/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ t (log (+ (- 1 y) (* y (exp z))))) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (* (/ (neg z) t) y) (/ (neg z) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (+ (* (+ (* (* (+ (* (* y y) (+ (* 2 y) -3)) y) (/ z t)) 1/6) (* (/ (- y (* y y)) t) 1/2)) z) (/ y t)) (+ (* (* (+ (* (* y y) (+ (* 2 y) -3)) y) (/ z t)) 1/6) (* (/ (- y (* y y)) t) 1/2)) (* (/ (- y (* y y)) t) 1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ t (log (+ (- 1 y) (* y (exp z))))) (log (+ (- 1 y) (* y (exp z)))) (neg z) (/ (* z y) t) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (+ (* (* y y) (+ (* 2 y) -3)) y) (/ z t)) (+ (- 1 y) (* y (exp z))))
18.0ms	t	@	-inf	((/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ t (log (+ (- 1 y) (* y (exp z))))) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (* (/ (neg z) t) y) (/ (neg z) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (+ (* (+ (* (* (+ (* (* y y) (+ (* 2 y) -3)) y) (/ z t)) 1/6) (* (/ (- y (* y y)) t) 1/2)) z) (/ y t)) (+ (* (* (+ (* (* y y) (+ (* 2 y) -3)) y) (/ z t)) 1/6) (* (/ (- y (* y y)) t) 1/2)) (* (/ (- y (* y y)) t) 1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ t (log (+ (- 1 y) (* y (exp z))))) (log (+ (- 1 y) (* y (exp z)))) (neg z) (/ (* z y) t) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (+ (* (* y y) (+ (* 2 y) -3)) y) (/ z t)) (+ (- 1 y) (* y (exp z))))
15.0ms	t	@	inf	((/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ t (log (+ (- 1 y) (* y (exp z))))) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (* (/ (neg z) t) y) (/ (neg z) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (+ (* (+ (* (* (+ (* (* y y) (+ (* 2 y) -3)) y) (/ z t)) 1/6) (* (/ (- y (* y y)) t) 1/2)) z) (/ y t)) (+ (* (* (+ (* (* y y) (+ (* 2 y) -3)) y) (/ z t)) 1/6) (* (/ (- y (* y y)) t) 1/2)) (* (/ (- y (* y y)) t) 1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ t (log (+ (- 1 y) (* y (exp z))))) (log (+ (- 1 y) (* y (exp z)))) (neg z) (/ (* z y) t) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (+ (* (* y y) (+ (* 2 y) -3)) y) (/ z t)) (+ (- 1 y) (* y (exp z))))
15.0ms	t	@	0	((/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ t (log (+ (- 1 y) (* y (exp z))))) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (* (/ (neg z) t) y) (/ (neg z) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (+ (* (+ (* (* (+ (* (* y y) (+ (* 2 y) -3)) y) (/ z t)) 1/6) (* (/ (- y (* y y)) t) 1/2)) z) (/ y t)) (+ (* (* (+ (* (* y y) (+ (* 2 y) -3)) y) (/ z t)) 1/6) (* (/ (- y (* y y)) t) 1/2)) (* (/ (- y (* y y)) t) 1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ t (log (+ (- 1 y) (* y (exp z))))) (log (+ (- 1 y) (* y (exp z)))) (neg z) (/ (* z y) t) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (+ (* (* y y) (+ (* 2 y) -3)) y) (/ z t)) (+ (- 1 y) (* y (exp z))))

simplify275.0ms (1.5%)

Memory

12.1MiB live, 360.2MiB allocated

Algorithm

1×	egg-herbie

Rules

9 018×	`lower-fma.f64`
9 018×	`lower-fma.f32`
7 382×	`lower-*.f64`
7 382×	`lower-*.f32`
4 182×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	782	15914
1	2576	15221
0	8580	12927

Stop Event

1×	iter limit
1×	node limit

Counts

888 → 852

Calls

Call 1

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

rewrite277.0ms (1.5%)

Memory

19.9MiB live, 373.0MiB allocated

Rules

6 022×	`lower-*.f32`
6 000×	`lower-*.f64`
5 020×	`lower-fma.f32`
5 006×	`lower-fma.f64`
3 546×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	545
0	111	545
1	452	535
2	3618	535
0	9362	517

Stop Event

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

Counts

25 → 469

Calls

Call 1

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

Outputs
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eval206.0ms (1.1%)

Memory: 28.4MiB live, 422.3MiB allocated
Compiler: Compiled 38 290 to 3 373 computations (91.2% saved)

prune163.0ms (0.9%)

Memory

1.3MiB live, 270.2MiB allocated

Pruning

42 alts after pruning (36 fresh and 6 done)

	Pruned	Kept	Total
New	1 304	17	1 321
Fresh	7	19	26
Picked	1	4	5
Done	0	2	2
Total	1 312	42	1 354

Accuracy

99.7%

Counts

1 354 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	81.0%	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x)
✓	62.1%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (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)))) t))
	62.1%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (.f64 y #s(approx (+ ( 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z))) z y) z #s(literal 1 binary64)))) t))
	61.9%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (.f64 y #s(approx (+ ( 1/6 z) 1/2) #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t))
	69.9%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
	36.3%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))
	69.7%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
	11.8%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t))
	53.7%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) z) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) z y) z)) t))
	58.5%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) z y) z)) t))
✓	83.2%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
✓	62.1%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z #s(literal 1 binary64)))))))
	69.9%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))))))
	36.3%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))))))
▶	58.5%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 z #s(literal 1/2 binary64)) (fma.f64 (neg.f64 y) y y) y) z)))))
✓	83.2%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)))))
	62.1%	(-.f64 x (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z #s(literal 1 binary64)))) #s(literal -1 binary64)) t)))
	81.7%	(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (.f64 (.f64 (fma.f64 (neg.f64 y) y y) z) t) y) (/.f64 t y)) z))))
▶	89.3%	(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y))))
	54.7%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (fma.f64 #s(approx (+ ( (* (+ (* (* y y) (+ (* 2 y) -3)) y) (/ z t)) 1/6) (* (/ (- y (* y y)) t) 1/2)) (/.f64 (fma.f64 (.f64 z #s(literal 1/6 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) (*.f64 (fma.f64 (neg.f64 y) y y) #s(literal 1/2 binary64))) t)) z (/.f64 y t)) z)))
	44.2%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (fma.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) (.f64 #s(literal 1/2 binary64) z)) t (.f64 t y)) (.f64 t t)) z)))
	71.7%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
	72.4%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
	69.1%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (+ ( (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 y t))) z)))
✓	57.3%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (+ ( (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (.f64 (.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))) z)))
	61.7%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (.f64 (.f64 (fma.f64 (/.f64 (.f64 z z) t) #s(literal -1/2 binary64) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 z t) (/.f64 #s(literal 1 binary64) t)) z) y)) y) y))))
	55.9%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (.f64 (.f64 y (/.f64 (.f64 (.f64 z z) y) t)) #s(literal -1/2 binary64)))))
	63.2%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) z) (/.f64 y t) x))
▶	73.7%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t)) y x))
▶	71.7%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 t y)) x))
	88.0%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (-.f64 (.f64 x t) (log1p.f64 (.f64 (expm1.f64 z) y))) t))
	28.4%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
	13.6%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t)))
	15.0%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (neg.f64 z) (/.f64 t y))))
	15.3%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 y (/.f64 (neg.f64 t) z))))
	13.6%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 #s(literal -1 binary64) (/.f64 t (*.f64 z y)))))
	67.8%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (fma.f64 (/.f64 y x) (/.f64 (neg.f64 z) t) #s(literal 1 binary64)) x)))
	10.5%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) z) t) y)))
✓	15.3%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 z) t) y)))
▶	14.7%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z)))
	15.3%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 t z)) y)))
	68.6%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 z y) t) x)) x)))

Compiler

Compiled 1 099 to 973 computations (11.5% saved)

simplify121.0ms (0.6%)

Memory

31.0MiB live, 188.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1 binary64) t)
cost-diff	0	(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t)) y x)
cost-diff	0	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t)) y x))
cost-diff	768	(-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t))
cost-diff	0	(/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 z #s(literal 1/2 binary64)) (fma.f64 (neg.f64 y) y y) y) z)))
cost-diff	0	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 z #s(literal 1/2 binary64)) (fma.f64 (neg.f64 y) y y) y) z)))))
cost-diff	128	(fma.f64 (*.f64 z #s(literal 1/2 binary64)) (fma.f64 (neg.f64 y) y y) y)
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 z #s(literal 1/2 binary64)) (fma.f64 (neg.f64 y) y y) y) z))))
cost-diff	0	(neg.f64 z)
cost-diff	0	(fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 t y)) x)
cost-diff	0	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 t y)) x))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 t y))
cost-diff	0	(/.f64 (neg.f64 y) t)
cost-diff	0	(*.f64 (/.f64 (neg.f64 y) t) z)
cost-diff	0	#s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z))
cost-diff	0	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z)))
cost-diff	0	(/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)
cost-diff	0	#s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)))
cost-diff	0	(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y))))

Rules

7 020×	`lower-fma.f32`
7 010×	`lower-fma.f64`
2 966×	`lower-*.f32`
2 958×	`lower-*.f64`
2 338×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	412
0	81	412
1	146	408
2	330	380
3	755	380
4	1620	376
5	3051	372
6	5751	371
7	7889	371
0	8132	345

Stop Event

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

Calls

Call 1

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

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

localize274.0ms (1.5%)

Memory

-44.3MiB live, 506.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(/.f64 (exp.f64 z) t)
accuracy	0.08431625976844201	(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t)) y x)
accuracy	9.301783547592759	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t)) y x))
accuracy	32.57368859873853	(-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t))
accuracy	1.4732690943446651	(.f64 (fma.f64 (.f64 z #s(literal 1/2 binary64)) (fma.f64 (neg.f64 y) y y) y) z)
accuracy	4.083641372776536	(fma.f64 (*.f64 z #s(literal 1/2 binary64)) (fma.f64 (neg.f64 y) y y) y)
accuracy	4.720610921970312	(/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 z #s(literal 1/2 binary64)) (fma.f64 (neg.f64 y) y y) y) z)))
accuracy	26.62155513686142	#s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 z #s(literal 1/2 binary64)) (fma.f64 (neg.f64 y) y y) y) z))
accuracy	0	(neg.f64 z)
accuracy	0.3143363145505872	(/.f64 #s(literal 1 binary64) (/.f64 t y))
accuracy	1.7325970859709265	(fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 t y)) x)
accuracy	17.576166983594938	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 t y)) x))
accuracy	0	(neg.f64 y)
accuracy	4.154459001525863	(*.f64 (/.f64 (neg.f64 y) t) z)
accuracy	17.576166983594938	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z)))
accuracy	37.407321208632176	#s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z))
accuracy	0.4570291858302058	(fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z)))
accuracy	0.6214280527809324	(/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)))
accuracy	5.688472989996113	(/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)
accuracy	11.921026481243185	#s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y))

Samples

197.0ms	204×	1	valid
29.0ms	18×	2	valid
11.0ms	34×	0	valid

Compiler

Compiled 298 to 46 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 196.0ms

ival-exp: 45.0ms (22.9% of total)

ival-log: 38.0ms (19.3% of total)

ival-div: 29.0ms (14.8% of total)

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

adjust: 18.0ms (9.2% of total)

ival-add: 18.0ms (9.2% of total)

ival-sub: 17.0ms (8.7% of total)

ival-expm1: 3.0ms (1.5% of total)

ival-neg: 2.0ms (1% of total)

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

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

exact: 0.0ms (0% of total)

series147.0ms (0.8%)

Memory

4.9MiB live, 163.2MiB allocated

Counts

25 → 840

Calls

Call 1

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

Outputs
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#s(alt (* -1 (* x (- (* -1 (/ (* y (- (/ 1 t) (/ (exp z) t))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t)) y x) (patch (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t)) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (- (/ 1 t) (/ (exp z) t))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t)) y x) (patch (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t)) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (- (/ 1 t) (/ (exp z) t))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t)) y x) (patch (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t)) y x) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
20.0ms	z	@	inf	((- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (/ t (log (+ (- 1 y) (* y (exp z))))) (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (* (/ (neg y) t) z) (/ (neg y) t) (/ 1 (/ t y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ 1 (/ t y))) x) (neg z) (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (+ (* (* z 1/2) (+ (* (neg y) y) y)) y) (- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ t (log (+ (- 1 y) (* y (exp z))))) (- (/ 1 t) (/ (exp z) t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (- (/ 1 t) (/ (exp z) t)) y) x) (/ 1 t) (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (neg y) (log (+ (- 1 y) (* y (exp z)))) (* (+ (* (* z 1/2) (+ (* (neg y) y) y)) y) z) (/ (exp z) t))
15.0ms	t	@	-inf	((- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (/ t (log (+ (- 1 y) (* y (exp z))))) (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (* (/ (neg y) t) z) (/ (neg y) t) (/ 1 (/ t y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ 1 (/ t y))) x) (neg z) (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (+ (* (* z 1/2) (+ (* (neg y) y) y)) y) (- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ t (log (+ (- 1 y) (* y (exp z))))) (- (/ 1 t) (/ (exp z) t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (- (/ 1 t) (/ (exp z) t)) y) x) (/ 1 t) (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (neg y) (log (+ (- 1 y) (* y (exp z)))) (* (+ (* (* z 1/2) (+ (* (neg y) y) y)) y) z) (/ (exp z) t))
14.0ms	t	@	0	((- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (/ t (log (+ (- 1 y) (* y (exp z))))) (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (* (/ (neg y) t) z) (/ (neg y) t) (/ 1 (/ t y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ 1 (/ t y))) x) (neg z) (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (+ (* (* z 1/2) (+ (* (neg y) y) y)) y) (- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ t (log (+ (- 1 y) (* y (exp z))))) (- (/ 1 t) (/ (exp z) t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (- (/ 1 t) (/ (exp z) t)) y) x) (/ 1 t) (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (neg y) (log (+ (- 1 y) (* y (exp z)))) (* (+ (* (* z 1/2) (+ (* (neg y) y) y)) y) z) (/ (exp z) t))
12.0ms	t	@	inf	((- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (/ t (log (+ (- 1 y) (* y (exp z))))) (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (* (/ (neg y) t) z) (/ (neg y) t) (/ 1 (/ t y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ 1 (/ t y))) x) (neg z) (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (+ (* (* z 1/2) (+ (* (neg y) y) y)) y) (- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ t (log (+ (- 1 y) (* y (exp z))))) (- (/ 1 t) (/ (exp z) t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (- (/ 1 t) (/ (exp z) t)) y) x) (/ 1 t) (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (neg y) (log (+ (- 1 y) (* y (exp z)))) (* (+ (* (* z 1/2) (+ (* (neg y) y) y)) y) z) (/ (exp z) t))
12.0ms	z	@	-inf	((- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (/ t (log (+ (- 1 y) (* y (exp z))))) (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (* (/ (neg y) t) z) (/ (neg y) t) (/ 1 (/ t y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ 1 (/ t y))) x) (neg z) (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (+ (* (* z 1/2) (+ (* (neg y) y) y)) y) (- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ t (log (+ (- 1 y) (* y (exp z))))) (- (/ 1 t) (/ (exp z) t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (- (/ 1 t) (/ (exp z) t)) y) x) (/ 1 t) (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (neg y) (log (+ (- 1 y) (* y (exp z)))) (* (+ (* (* z 1/2) (+ (* (neg y) y) y)) y) z) (/ (exp z) t))

simplify243.0ms (1.3%)

Memory

22.5MiB live, 171.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 518×	`lower-fma.f64`
7 518×	`lower-fma.f32`
5 854×	`lower-*.f64`
5 854×	`lower-*.f32`
3 672×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	691	12340
1	2171	11857
2	7406	11728
0	8145	9902

Stop Event

1×	iter limit
1×	node limit

Counts

840 → 791

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

rewrite338.0ms (1.8%)

Memory

-26.1MiB live, 253.8MiB allocated

Rules

5 830×	`lower-*.f32`
5 822×	`lower-*.f64`
4 530×	`lower-fma.f32`
4 520×	`lower-fma.f64`
3 802×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	363
0	81	349
1	360	345
2	2924	345
0	9109	335

Stop Event

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

Counts

25 → 502

Calls

Call 1

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

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eval351.0ms (1.9%)

Memory: 31.9MiB live, 358.6MiB allocated
Compiler: Compiled 23 817 to 3 033 computations (87.3% saved)

prune173.0ms (0.9%)

Memory

12.8MiB live, 342.1MiB allocated

Pruning

35 alts after pruning (29 fresh and 6 done)

	Pruned	Kept	Total
New	1 302	10	1 312
Fresh	12	19	31
Picked	4	1	5
Done	1	5	6
Total	1 319	35	1 354

Accuracy

99.7%

Counts

1 354 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	81.0%	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x)
✓	62.1%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (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)))) t))
	62.1%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (.f64 y #s(approx (+ ( 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z))) z y) z #s(literal 1 binary64)))) t))
	61.9%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (.f64 y #s(approx (+ ( 1/6 z) 1/2) #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t))
	69.9%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
	36.3%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))
	11.8%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t))
	53.7%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) z) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) z y) z)) t))
	58.5%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) z y) z)) t))
✓	83.2%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
✓	62.1%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z #s(literal 1 binary64)))))))
	69.9%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))))))
	36.3%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))))))
	64.2%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (.f64 (fma.f64 z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) z)))))
	62.1%	(-.f64 x (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z #s(literal 1 binary64)))) #s(literal -1 binary64)) t)))
	81.7%	(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (.f64 (.f64 (fma.f64 (neg.f64 y) y y) z) t) y) (/.f64 t y)) z))))
	84.4%	(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 (.f64 t y) t) t) z)) y))))
	48.4%	(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (.f64 (.f64 t y) #s(literal 1/2 binary64))) y))))
	90.2%	(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (fma.f64 #s(literal 1/2 binary64) t (/.f64 (/.f64 t (expm1.f64 z)) y))))))
	78.7%	(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 t (/.f64 t y)) (/.f64 t y)) z)))))
	48.9%	(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t)))))
	54.7%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (fma.f64 #s(approx (+ ( (* (+ (* (* y y) (+ (* 2 y) -3)) y) (/ z t)) 1/6) (* (/ (- y (* y y)) t) 1/2)) (/.f64 (fma.f64 (.f64 z #s(literal 1/6 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) (*.f64 (fma.f64 (neg.f64 y) y y) #s(literal 1/2 binary64))) t)) z (/.f64 y t)) z)))
	72.4%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
	69.1%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (+ ( (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 y t))) z)))
✓	57.3%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (+ ( (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (.f64 (.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))) z)))
	73.6%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z)) t) y x))
	71.7%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (neg.f64 y) t) z x))
	69.7%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) t) #s(approx (/ (exp z) t) (/.f64 #s(literal 1 binary64) t))) y x))
	88.0%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (-.f64 (.f64 x t) (log1p.f64 (.f64 (expm1.f64 z) y))) t))
	28.4%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
	13.6%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 z) y) t)))
	15.3%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 y (/.f64 (neg.f64 t) z))))
	13.6%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 #s(literal -1 binary64) (/.f64 t (*.f64 z y)))))
✓	15.3%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 z) t) y)))
✓	14.7%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z)))

Compiler

Compiled 1 541 to 829 computations (46.2% saved)

regimes243.0ms (1.3%)

Memory

-13.1MiB live, 301.1MiB allocated

Counts

67 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

9 calls:

54.0ms	(exp.f64 z)
34.0ms	y
31.0ms	t
30.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
21.0ms	x

Results

Accuracy	Segments	Branch
95.8%	3	`x`
97.7%	3	`y`
96.6%	3	`z`
96.2%	3	`t`
96.3%	4	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
97.7%	3	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
98.0%	3	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
98.0%	3	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
94.2%	2	`(exp.f64 z)`

Compiler

Compiled 47 to 63 computations (-34% saved)

regimes92.0ms (0.5%)

Memory

-55.0MiB live, 132.8MiB allocated

Counts

57 → 2

Calls

Call 1

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

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

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

Calls

5 calls:

33.0ms	y
15.0ms	z
14.0ms	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
14.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
12.0ms	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))

Results

Accuracy	Segments	Branch
91.9%	2	`z`
95.3%	3	`y`
93.5%	3	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
94.8%	2	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
94.8%	2	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`

Compiler

Compiled 30 to 38 computations (-26.7% saved)

regimes158.0ms (0.8%)

Memory

1.8MiB live, 196.5MiB allocated

Counts

56 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

36.0ms	x
35.0ms	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
26.0ms	t
18.0ms	y
15.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))

Results

Accuracy	Segments	Branch
90.2%	1	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
92.5%	2	`y`
90.2%	1	`(exp.f64 z)`
90.2%	1	`x`
90.2%	1	`t`
90.2%	1	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
90.2%	1	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`

Compiler

Compiled 35 to 48 computations (-37.1% saved)

regimes195.0ms (1%)

Memory

10.7MiB live, 288.7MiB allocated

Counts

52 → 3

Calls

Call 1

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

Outputs

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

(-.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 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t))

Calls

9 calls:

39.0ms	y
34.0ms	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
31.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
18.0ms	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
16.0ms	z

Results

Accuracy	Segments	Branch
89.1%	3	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
85.4%	1	`x`
85.4%	1	`t`
90.8%	3	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
90.8%	3	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
87.0%	2	`(exp.f64 z)`
89.6%	3	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
89.1%	3	`z`
92.1%	3	`y`

Compiler

Compiled 47 to 63 computations (-34% saved)

regimes40.0ms (0.2%)

Memory

-25.5MiB live, 49.9MiB allocated

Counts

51 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

35.0ms

Results

Accuracy	Segments	Branch
92.1%	3	`y`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes18.0ms (0.1%)

Memory

13.1MiB live, 49.9MiB allocated

Counts

50 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

16.0ms

Results

Accuracy	Segments	Branch
92.1%	3	`y`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes20.0ms (0.1%)

Memory

-6.7MiB live, 41.3MiB allocated

Counts

48 → 3

Calls

Call 1

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

Outputs

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

(-.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

1 calls:

18.0ms

Results

Accuracy	Segments	Branch
92.1%	3	`y`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes15.0ms (0.1%)

Memory

22.8MiB live, 22.8MiB allocated

Counts

44 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
89.2%	2	`y`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes120.0ms (0.6%)

Memory

-20.9MiB live, 288.1MiB allocated

Counts

41 → 1

Calls

Call 1

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

Outputs

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

Calls

9 calls:

18.0ms	y
13.0ms	z
13.0ms	t
13.0ms	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
12.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))

Results

Accuracy	Segments	Branch
84.4%	1	`x`
84.4%	1	`t`
84.4%	1	`(exp.f64 z)`
84.4%	1	`z`
84.4%	1	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
84.4%	1	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
84.4%	1	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
84.4%	1	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
84.4%	1	`y`

Compiler

Compiled 47 to 63 computations (-34% saved)

regimes88.0ms (0.5%)

Memory

19.2MiB live, 205.0MiB allocated

Counts

30 → 2

Calls

Call 1

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

Outputs

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

(-.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:

16.0ms	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
11.0ms	z
11.0ms	y
9.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
9.0ms	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)

Results

Accuracy	Segments	Branch
75.8%	2	`y`
75.5%	2	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
81.6%	2	`(exp.f64 z)`
81.6%	2	`z`
77.1%	2	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
77.1%	2	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
77.9%	3	`x`
74.6%	2	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
78.0%	3	`t`

Compiler

Compiled 47 to 63 computations (-34% saved)

regimes10.0ms (0.1%)

Memory

28.1MiB live, 28.1MiB allocated

Counts

16 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

5.0ms	z
4.0ms	(exp.f64 z)

Results

Accuracy	Segments	Branch
77.4%	2	`z`
77.0%	2	`(exp.f64 z)`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes31.0ms (0.2%)

Memory

8.2MiB live, 81.4MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

9 calls:

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

Results

Accuracy	Segments	Branch
72.4%	1	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
72.4%	1	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
72.4%	1	`y`
72.4%	1	`x`
72.4%	1	`t`
72.4%	1	`(exp.f64 z)`
72.4%	1	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
72.4%	1	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
72.4%	1	`z`

Compiler

Compiled 47 to 63 computations (-34% saved)

regimes46.0ms (0.2%)

Memory

-25.4MiB live, 53.0MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

9 calls:

23.0ms	z
5.0ms	t
3.0ms	y
3.0ms	x
3.0ms	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))

Results

Accuracy	Segments	Branch
71.7%	1	`x`
71.7%	1	`t`
71.7%	1	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
71.7%	1	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
71.7%	1	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
71.7%	1	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
71.7%	1	`(exp.f64 z)`
71.7%	1	`y`
71.7%	1	`z`

Compiler

Compiled 47 to 63 computations (-34% saved)

regimes21.0ms (0.1%)

Memory

19.9MiB live, 56.7MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

9 calls:

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

Results

Accuracy	Segments	Branch
15.3%	1	`x`
15.3%	1	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
15.3%	1	`t`
15.3%	1	`(exp.f64 z)`
15.3%	1	`z`
15.3%	1	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
15.3%	1	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
15.3%	1	`y`
15.3%	1	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`

Compiler

Compiled 47 to 63 computations (-34% saved)

regimes14.0ms (0.1%)

Memory

-0.1MiB live, 36.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

9 calls:

3.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
1.0ms	t
1.0ms	x
1.0ms	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
1.0ms	y

Results

Accuracy	Segments	Branch
14.7%	1	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
14.7%	1	`x`
14.7%	1	`z`
14.7%	1	`y`
14.7%	1	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
14.7%	1	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
14.7%	1	`(exp.f64 z)`
14.7%	1	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
14.7%	1	`t`

Compiler

Compiled 47 to 63 computations (-34% saved)

bsearch1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000085379366	1.0000061392784119
0.0ms	0.0	1.0

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000085379366	1.0000061392784119

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch127.0ms (0.7%)

Memory

37.2MiB live, 332.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
122.0ms	1.1877718981239275e+55	6.314461679587923e+87

Samples

82.0ms	167×	1	valid
16.0ms	110×	0	invalid
11.0ms	23×	1	invalid
1.0ms	9×	0	valid

Compiler

Compiled 379 to 360 computations (5% saved)

Precisions

Click to see histograms. Total time spent on operations: 97.0ms

ival-exp: 31.0ms (31.9% of total)

ival-log: 27.0ms (27.7% of total)

adjust: 16.0ms (16.4% of total)

ival-mult: 11.0ms (11.3% of total)

ival-sub: 6.0ms (6.2% of total)

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

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

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

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

exact: 0.0ms (0% of total)

bsearch120.0ms (0.6%)

Memory

-71.9MiB live, 169.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
54.0ms	1.1877718981239275e+55	6.314461679587923e+87
52.0ms	-1.8560290661837463e+21	-5.27314083780296e+18

Samples

85.0ms	87×	1	valid
7.0ms	89×	0	valid
3.0ms	37×	0	invalid
2.0ms	7×	1	invalid

Compiler

Compiled 545 to 521 computations (4.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-add: 28.0ms (47.6% of total)

ival-exp: 11.0ms (18.7% of total)

ival-log: 10.0ms (17% of total)

ival-sub: 3.0ms (5.1% of total)

adjust: 2.0ms (3.4% of total)

ival-div: 2.0ms (3.4% of total)

ival-mult: 2.0ms (3.4% of total)

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

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

exact: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory

12.6MiB live, 12.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.1877718981239275e+55	6.314461679587923e+87
1.0ms	-1.8560290661837463e+21	-5.27314083780296e+18

Compiler

Compiled 545 to 521 computations (4.4% saved)

bsearch3.0ms (0%)

Memory

8.9MiB live, 8.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.1877718981239275e+55	6.314461679587923e+87
1.0ms	-1.8560290661837463e+21	-5.27314083780296e+18

Compiler

Compiled 512 to 499 computations (2.5% saved)

bsearch3.0ms (0%)

Memory

5.3MiB live, 5.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.1877718981239275e+55	6.314461679587923e+87
1.0ms	-1.8560290661837463e+21	-5.27314083780296e+18

Compiler

Compiled 457 to 466 computations (-2% saved)

bsearch1.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-1.8560290661837463e+21	-5.27314083780296e+18

Compiler

Compiled 248 to 235 computations (5.2% saved)

bsearch34.0ms (0.2%)

Memory

-23.8MiB live, 52.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
31.0ms	-2.967468712281581e+21	-445206409872845400.0

Samples

17.0ms	49×	1	valid
6.0ms	79×	0	valid
2.0ms	25×	0	invalid

Compiler

Compiled 184 to 187 computations (-1.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-log: 13.0ms (63.8% of total)

ival-sub: 2.0ms (9.8% of total)

ival-add: 1.0ms (4.9% of total)

ival-div: 1.0ms (4.9% of total)

adjust: 1.0ms (4.9% of total)

ival-exp: 1.0ms (4.9% of total)

ival-mult: 1.0ms (4.9% of total)

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

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

exact: 0.0ms (0% of total)

bsearch11.0ms (0.1%)

Memory

16.0MiB live, 16.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	-2.967468712281581e+21	-445206409872845400.0

Samples

5.0ms	21×	1	valid
2.0ms	27×	0	valid
0.0ms	3×	0	invalid

Compiler

Compiled 160 to 195 computations (-21.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-log: 3.0ms (51.2% of total)

ival-sub: 1.0ms (17.1% of total)

ival-div: 1.0ms (17.1% of total)

adjust: 1.0ms (17.1% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

simplify40.0ms (0.2%)

Memory

-20.7MiB live, 60.4MiB allocated

Algorithm

1×	egg-herbie

Rules

170×	`neg-mul-1-binary64-*.f64-neg.f64`
166×	`unsub-neg-binary64--.f64-neg.f64-+.f64`
88×	`-commutative-binary64-.f64`
86×	`+-commutative-binary64-+.f64`
84×	`sub-neg-binary64-neg.f64-+.f64--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	964
1	201	964
2	284	964
3	346	964
4	387	964
5	508	964
6	700	964

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) #s(approx (- x (/ (log (+ (- 1 y) ( y (exp z)))) t)) (/.f64 (-.f64 (.f64 x t) (log1p.f64 (.f64 (expm1.f64 z) y))) t)) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 4503622145368633/4503599627370496 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) ( y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (fma.f64 #s(literal 1/2 binary64) t (/.f64 (/.f64 t (expm1.f64 z)) 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 4503622145368633/4503599627370496 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) ( y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (fma.f64 #s(literal 1/2 binary64) t (/.f64 (/.f64 t (expm1.f64 z)) y)))))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t)))
(if (<=.f64 y #s(literal 6199999999999999925068398107210681893580125830112250508700771548363460134456537567461376 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (fma.f64 #s(literal 1/2 binary64) t (/.f64 (/.f64 t (expm1.f64 z)) y)))))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (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)))) t)))
(if (<=.f64 y #s(literal -5400000000000000000 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 (.f64 t y) t) t) z)) y)))) (if (<=.f64 y #s(literal 4500000000000000259087026248172714687538357589147660435384799763034907183680845237977088 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 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t))))
(if (<=.f64 y #s(literal -5400000000000000000 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 (.f64 t y) t) t) z)) y)))) (if (<=.f64 y #s(literal 4500000000000000259087026248172714687538357589147660435384799763034907183680845237977088 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 (fma.f64 (.f64 y #s(approx (+ ( 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z))) z y) z #s(literal 1 binary64)))) t))))
(if (<=.f64 y #s(literal -5400000000000000000 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 (.f64 t y) t) t) z)) y)))) (if (<=.f64 y #s(literal 4500000000000000259087026248172714687538357589147660435384799763034907183680845237977088 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 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)))) t))))
(if (<=.f64 y #s(literal -5400000000000000000 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 (.f64 t y) t) t) z)) y)))) (if (<=.f64 y #s(literal 4500000000000000259087026248172714687538357589147660435384799763034907183680845237977088 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 y #s(literal -5400000000000000000 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 (.f64 t y) t) t) z)) y)))) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 (.f64 t y) t) t) z)) y))))
(if (<=.f64 z #s(literal -35500000000000000000 binary64)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) t) #s(approx (/ (exp z) t) (/.f64 #s(literal 1 binary64) t))) y x)) (-.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 -50000000000000000000 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (.f64 #s(literal 1/2 binary64) t))))) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 z) t) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z)))

Outputs
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) #s(approx (- x (/ (log (+ (- 1 y) ( y (exp z)))) t)) (/.f64 (-.f64 (.f64 x t) (log1p.f64 (.f64 (expm1.f64 z) y))) t)) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 4503622145368633/4503599627370496 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) ( y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (fma.f64 #s(literal 1/2 binary64) t (/.f64 (/.f64 t (expm1.f64 z)) 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)) #s(approx (- x (/ (log (+ (- 1 y) ( y (exp z)))) t)) (/.f64 (-.f64 (.f64 t x) (log1p.f64 (.f64 (expm1.f64 z) y))) t)) (if (<=.f64 (+.f64 (.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 4503622145368633/4503599627370496 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) ( y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (fma.f64 #s(literal 1/2 binary64) t (/.f64 (/.f64 t (expm1.f64 z)) 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 4503622145368633/4503599627370496 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) ( y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (fma.f64 #s(literal 1/2 binary64) t (/.f64 (/.f64 t (expm1.f64 z)) y)))))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t)))
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(if (<=.f64 y #s(literal 6199999999999999925068398107210681893580125830112250508700771548363460134456537567461376 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (fma.f64 #s(literal 1/2 binary64) t (/.f64 (/.f64 t (expm1.f64 z)) y)))))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z #s(literal 1 binary64)))) t)))
(if (<=.f64 y #s(literal -5400000000000000000 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 (.f64 t y) t) t) z)) y)))) (if (<=.f64 y #s(literal 4500000000000000259087026248172714687538357589147660435384799763034907183680845237977088 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 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t))))
(if (<=.f64 y #s(literal -5400000000000000000 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 (.f64 t y) t) t) z)) y)))) (if (<=.f64 y #s(literal 4500000000000000259087026248172714687538357589147660435384799763034907183680845237977088 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 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z #s(literal 1 binary64)))) t))))
(if (<=.f64 y #s(literal -5400000000000000000 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 (.f64 t y) t) t) z)) y)))) (if (<=.f64 y #s(literal 4500000000000000259087026248172714687538357589147660435384799763034907183680845237977088 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 (fma.f64 (.f64 y #s(approx (+ ( 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z))) z y) z #s(literal 1 binary64)))) t))))
(if (<=.f64 y #s(literal -5400000000000000000 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 (.f64 t y) t) t) z)) y)))) (if (<=.f64 y #s(literal 4500000000000000259087026248172714687538357589147660435384799763034907183680845237977088 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 (fma.f64 (.f64 #s(approx (+ ( 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z)) y) z y) z #s(literal 1 binary64)))) t))))
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(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 (.f64 t y) t) t) z)) y))))
(if (<=.f64 z #s(literal -35500000000000000000 binary64)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) t) #s(approx (/ (exp z) t) (/.f64 #s(literal 1 binary64) t))) y x)) (-.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 -50000000000000000000 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (.f64 #s(literal 1/2 binary64) t))))) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 z) t) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z)))

soundness1.4s (7.4%)

Memory

21.7MiB live, 951.3MiB allocated

Rules

18 714×	`lower-fma.f64`
18 714×	`lower-fma.f32`
15 758×	`lower-fma.f64`
15 758×	`lower-fma.f32`
9 018×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	496	11360
1	1604	10980
2	4845	10487
0	8742	8597
0	43	334
0	72	334
1	320	334
2	2656	334
0	9340	322
0	782	15914
1	2576	15221
0	8580	12927
0	691	12340
1	2171	11857
2	7406	11728
0	8145	9902
0	332	2306
1	1006	2202
2	3145	2115
0	8170	1646

Stop Event

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

Compiler

Compiled 1 110 to 737 computations (33.6% saved)

preprocess157.0ms (0.8%)

Memory: -37.6MiB live, 291.3MiB allocated
Compiler: Compiled 1 056 to 330 computations (68.8% 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%)

analyze353.0ms (1.9%)

sample8.1s (43.1%)

explain512.0ms (2.7%)

preprocess413.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify32.0ms (0.2%)

localize271.0ms (1.4%)

series165.0ms (0.9%)

simplify426.0ms (2.3%)

rewrite240.0ms (1.3%)

eval97.0ms (0.5%)

prune27.0ms (0.1%)

simplify156.0ms (0.8%)

localize288.0ms (1.5%)

series166.0ms (0.9%)

simplify245.0ms (1.3%)

rewrite170.0ms (0.9%)

eval211.0ms (1.1%)

prune199.0ms (1.1%)

simplify407.0ms (2.2%)

localize524.0ms (2.8%)

series207.0ms (1.1%)

simplify275.0ms (1.5%)

rewrite277.0ms (1.5%)

eval206.0ms (1.1%)

prune163.0ms (0.9%)

simplify121.0ms (0.6%)

localize274.0ms (1.5%)

series147.0ms (0.8%)

simplify243.0ms (1.3%)

rewrite338.0ms (1.8%)

eval351.0ms (1.9%)

prune173.0ms (0.9%)

regimes243.0ms (1.3%)

regimes92.0ms (0.5%)

regimes158.0ms (0.8%)

regimes195.0ms (1%)

regimes40.0ms (0.2%)

regimes18.0ms (0.1%)

regimes20.0ms (0.1%)

regimes15.0ms (0.1%)

regimes120.0ms (0.6%)

regimes88.0ms (0.5%)

regimes10.0ms (0.1%)

regimes31.0ms (0.2%)

regimes46.0ms (0.2%)

regimes21.0ms (0.1%)

regimes14.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch127.0ms (0.7%)

bsearch120.0ms (0.6%)

bsearch3.0ms (0%)

bsearch3.0ms (0%)

bsearch3.0ms (0%)

bsearch1.0ms (0%)

bsearch34.0ms (0.2%)

bsearch11.0ms (0.1%)

simplify40.0ms (0.2%)

soundness1.4s (7.4%)

preprocess157.0ms (0.8%)

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