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

start0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated

analyze359.0ms (1.9%)

Memory

11.7MiB live, 468.6MiB 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 (42.7%)

Memory

76.5MiB live, 5 402.9MiB allocated

Samples

3.7s	4 427×	1	valid
1.1s	604×	1	invalid
1.0s	1 237×	5	exit
731.0ms	3 829×	0	valid
494.0ms	396×	4	exit
234.0ms	1 777×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 6.3s

ival-log: 2.3s (37.1% of total)

ival-sub: 1.7s (26.3% of total)

ival-exp: 1.3s (20.1% of total)

adjust: 364.0ms (5.8% of total)

ival-mult: 288.0ms (4.6% of total)

ival-div: 190.0ms (3% of total)

ival-add: 172.0ms (2.7% of total)

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

exact: 8.0ms (0.1% of total)

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

Bogosity

explain647.0ms (3.4%)

Memory

-26.7MiB live, 621.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
162	44	(-2.2947732386663652e-26 -6.51073531517199e-117 1.9989034451081557e-278 -5.840871854121165e-265)	0	-	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
75	0	-	0	-	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
20	0	-	6	(-2.2546719553743216e+202 -1.148421540038467e-289 8.05427610139304e-24 4.8627228701725096e-11)	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
0	0	-	0	-	`(-.f64 #s(literal 1 binary64) y)`
0	0	-	0	-	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
0	0	-	0	-	`t`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`z`
0	0	-	0	-	`y`
0	0	-	0	-	`(*.f64 y (exp.f64 z))`
0	0	-	0	-	`x`
0	0	-	0	-	`(exp.f64 z)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`	sensitivity	205	1
`+.f64`	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`	cancellation	40	0
`/.f64`	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`	u/n	4	0
↳	`(exp.f64 z)`	underflow	59
↳	`(*.f64 y (exp.f64 z))`	underflow	59
↳	`(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 -
+	91	11
-	131	23

Precision

0.4099099099099099

Recall

0.8921568627450981

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	91	1	10
-	131	0	23

Precision?

0.4125560538116592

Recall?

0.9019607843137255

Freqs

test

number	freq
0	34
1	194
2	28

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

136.0ms	324×	1	valid
70.0ms	138×	2	valid
5.0ms	50×	0	valid

Compiler

Compiled 182 to 52 computations (71.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 171.0ms

ival-log: 67.0ms (39.2% of total)

ival-exp: 38.0ms (22.2% of total)

adjust: 20.0ms (11.7% of total)

ival-div: 18.0ms (10.5% of total)

ival-sub: 11.0ms (6.4% of total)

ival-add: 9.0ms (5.3% of total)

ival-mult: 7.0ms (4.1% of total)

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

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

exact: 0.0ms (0% of total)

preprocess278.0ms (1.5%)

Memory

-0.9MiB live, 115.8MiB allocated

Algorithm

1×	egg-herbie

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 (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

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.4%	(-.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)

simplify36.0ms (0.2%)

Memory

-7.1MiB live, 30.1MiB 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)))

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

localize141.0ms (0.7%)

Memory

-12.3MiB live, 146.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(*.f64 y (exp.f64 z))
accuracy	3.897528295939524	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
accuracy	17.937539007522336	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
accuracy	36.50717306837688	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))

Samples

89.0ms	162×	1	valid
35.0ms	69×	2	valid
2.0ms	25×	0	valid

Compiler

Compiled 112 to 26 computations (76.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-log: 44.0ms (49.8% of total)

ival-exp: 18.0ms (20.4% of total)

adjust: 8.0ms (9.1% of total)

ival-div: 7.0ms (7.9% of total)

ival-sub: 6.0ms (6.8% of total)

ival-mult: 3.0ms (3.4% of total)

ival-add: 3.0ms (3.4% of total)

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

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

exact: 0.0ms (0% of total)

series490.0ms (2.6%)

Memory

7.0MiB live, 199.6MiB allocated

Counts

5 → 156

Calls

Call 1

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

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

12 calls:

Time	Variable		Point	Expression
179.0ms	z	@	-inf	((+ (- 1 y) (* y (exp z))) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z)))
70.0ms	z	@	inf	((+ (- 1 y) (* y (exp z))) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z)))
52.0ms	t	@	0	((+ (- 1 y) (* y (exp z))) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z)))
42.0ms	t	@	inf	((+ (- 1 y) (* y (exp z))) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z)))
10.0ms	t	@	-inf	((+ (- 1 y) (* y (exp z))) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z)))

simplify295.0ms (1.6%)

Memory

-0.7MiB live, 136.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	335	2420
1	1012	2316
2	3176	2227
0	8212	1752

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 149

Calls

Call 1

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

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

rewrite424.0ms (2.2%)

Memory

18.8MiB live, 173.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 287

Calls

Call 1

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

Outputs
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eval88.0ms (0.5%)

Memory: 9.6MiB live, 199.0MiB allocated
Compiler: Compiled 14 134 to 1 644 computations (88.4% saved)

prune30.0ms (0.2%)

Memory

2.8MiB live, 88.2MiB allocated

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	417	19	436
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	418	19	437

Accuracy

100.0%

Counts

437 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	80.2%	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x)
	55.1%	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) #s(approx (* y (exp z)) (fma.f64 z y y)))) t))
	68.8%	(-.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))
▶	70.0%	(-.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))
	75.9%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
	72.6%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
	56.9%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) z) (fma.f64 (.f64 y y) (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) y)) (.f64 (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) z (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t))
	62.5%	(-.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))
	66.3%	(-.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))
▶	86.3%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
	78.8%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
	67.4%	(-.f64 x (*.f64 (pow.f64 (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) #s(literal -1/2 binary64))))
	61.7%	(-.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)))
▶	65.3%	(-.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)))
▶	87.8%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
	77.8%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
	74.8%	#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))
▶	77.8%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
	28.2%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))

Compiler

Compiled 952 to 700 computations (26.5% saved)

simplify197.0ms (1%)

Memory

-34.3MiB live, 206.0MiB 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 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)))
cost-diff	0	(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))))
cost-diff	0	(/.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)
cost-diff	0	(-.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))
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)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	374
0	68	374
1	123	374
2	236	350
3	465	350
4	1061	346
5	2956	346
6	5895	346
0	8374	317

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

localize279.0ms (1.5%)

Memory

-2.8MiB live, 561.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.046875	(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64))
accuracy	3.897528295939524	(/.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)
accuracy	12.052981957085947	#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)))
accuracy	36.50717306837688	(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))))
accuracy	0.0078125	(*.f64 (expm1.f64 z) y)
accuracy	0.015625	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
accuracy	3.897528295939524	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)
accuracy	12.41340811129303	#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))
accuracy	1.7038884068092168	(/.f64 (-.f64 y (*.f64 y y)) t)
accuracy	3.796760014511195	(.f64 (fma.f64 (.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z)
accuracy	9.482395274285336	(fma.f64 (.f64 (/.f64 (-.f64 y (.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t))
accuracy	22.114130352092428	#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	2.9587391443208304	(fma.f64 (neg.f64 z) (/.f64 y t) x)
accuracy	12.461364010374378	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
accuracy	0.0078125	(/.f64 (expm1.f64 z) t)
accuracy	0.015625	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
accuracy	3.4324524065885096	(*.f64 (/.f64 (expm1.f64 z) t) y)
accuracy	12.370430054918176	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))

Samples

168.0ms	162×	1	valid
73.0ms	69×	2	valid
6.0ms	25×	0	valid

Compiler

Compiled 655 to 77 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 159.0ms

ival-log: 43.0ms (27.1% of total)

ival-mult: 33.0ms (20.8% of total)

ival-add: 25.0ms (15.8% of total)

adjust: 18.0ms (11.3% of total)

ival-exp: 18.0ms (11.3% of total)

ival-div: 11.0ms (6.9% of total)

ival-sub: 7.0ms (4.4% of total)

ival-expm1: 2.0ms (1.3% of total)

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

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

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

exact: 0.0ms (0% of total)

series170.0ms (0.9%)

Memory

16.4MiB live, 245.1MiB allocated

Counts

23 → 768

Calls

Call 1

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

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

12 calls:

Time	Variable		Point	Expression
37.0ms	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) 1/2) z) (/ y t)) z) (/ (- y (* y y)) t) (+ (* (+ (* 1/2 (* z y)) y) z) 1))
36.0ms	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) 1/2) z) (/ y t)) z) (/ (- y (* y y)) t) (+ (* (+ (* 1/2 (* z y)) y) z) 1))
13.0ms	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) 1/2) z) (/ y t)) z) (/ (- y (* y y)) t) (+ (* (+ (* 1/2 (* z y)) y) z) 1))
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) 1/2) z) (/ y t)) z) (/ (- y (* y y)) t) (+ (* (+ (* 1/2 (* z y)) y) z) 1))
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) 1/2) z) (/ y t)) z) (/ (- y (* y y)) t) (+ (* (+ (* 1/2 (* z y)) y) z) 1))

simplify222.0ms (1.2%)

Memory

15.1MiB live, 249.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	519	11568
1	1680	11186
2	5087	10663
0	8045	8749

Stop Event

1×	iter limit
1×	node limit

Counts

768 → 732

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))
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(/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t)
(+.f64 (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (expm1.f64 z) y) t)))
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(-.f64 (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t) (/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 2 binary64)) t)) y) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z)) t))) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 3 binary64)) y) y) t))) y))
(-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)))
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(-.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (/.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 #s(literal 1/3 binary64) (.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 3 binary64)) y) y))) y)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
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(-.f64 (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t) (/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 2 binary64)) t)) y) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z)) t))) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 3 binary64)) y) y) t))) y))
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(-.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (/.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 #s(literal 1/3 binary64) (.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 3 binary64)) y) y))) y)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(*.f64 (expm1.f64 z) y)
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64))
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64))
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64))
(.f64 (.f64 y (/.f64 (.f64 (.f64 z z) y) t)) #s(literal -1/2 binary64))
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(.f64 (.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 z t) #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) t)) (neg.f64 y)) z (.f64 (.f64 z (/.f64 z t)) #s(literal -1/2 binary64))) y) y)
(*.f64 (/.f64 (neg.f64 y) t) y)
(.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) t) (/.f64 #s(literal 1 binary64) t)) (.f64 y y))
(.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) t) (/.f64 #s(literal 1 binary64) t)) (.f64 y y))
(.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) t) (/.f64 #s(literal 1 binary64) t)) (.f64 y y))
(.f64 (.f64 y (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64))) (neg.f64 z))
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) z) (neg.f64 y) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) z) (neg.f64 y) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) z) (neg.f64 y) #s(literal 1 binary64))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))
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(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))
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(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(*.f64 (/.f64 (neg.f64 z) t) y)
(-.f64 x (/.f64 (*.f64 z y) t))
(-.f64 x (/.f64 (*.f64 z y) t))
(-.f64 x (/.f64 (*.f64 z y) t))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))
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(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
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(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
x
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 t x)) x)
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 t x)) x)
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x
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(*.f64 (fma.f64 (/.f64 y x) (/.f64 (neg.f64 z) t) #s(literal 1 binary64)) x)
x
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x
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x
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(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 t x)) x)
x
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 t x)) x)
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rewrite204.0ms (1.1%)

Memory

-2.0MiB live, 276.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	327
0	68	327
1	293	327
2	2452	327
0	8959	315

Stop Event

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

Counts

23 → 526

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

Outputs
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eval223.0ms (1.2%)

Memory: 45.1MiB live, 414.9MiB allocated
Compiler: Compiled 45 939 to 3 263 computations (92.9% saved)

prune137.0ms (0.7%)

Memory

-45.1MiB live, 183.3MiB allocated

Pruning

32 alts after pruning (31 fresh and 1 done)

	Pruned	Kept	Total
New	1 277	24	1 301
Fresh	7	7	14
Picked	4	1	5
Done	0	0	0
Total	1 288	32	1 320

Accuracy

100.0%

Counts

1 320 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	80.2%	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x)
	55.1%	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) #s(approx (* y (exp z)) (fma.f64 z y y)))) t))
	68.8%	(-.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))
▶	75.9%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
	28.8%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* 1/2 (* z y)) y) z) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) t))
	72.6%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* 1/2 (* z y)) y) z) 1) #s(literal 1 binary64)))) t))
	56.9%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) z) (fma.f64 (.f64 y y) (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) y)) (.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y))) z (.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) z y) z)) t))
	62.5%	(-.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))
	66.3%	(-.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))
	78.8%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
▶	71.2%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (fma.f64 (.f64 y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) t))
	73.6%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z))) t))
	73.9%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) t))
▶	86.3%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)))))
	67.4%	(-.f64 x (*.f64 (pow.f64 (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) #s(literal -1/2 binary64))))
	35.3%	(-.f64 x (exp.f64 (.f64 (log.f64 (/.f64 t (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))))) #s(literal -1 binary64))))
	61.0%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) z) (/.f64 (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) t) (/.f64 (.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) t)) z (/.f64 y t)) z)))
	70.0%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (fma.f64 #s(approx ( (/ (- y (* y y)) t) 1/2) (.f64 (.f64 y (/.f64 y t)) #s(literal -1/2 binary64))) z (/.f64 y t)) z)))
	84.8%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (expm1.f64 z) (/.f64 y t))))
	79.2%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
	73.1%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 (fma.f64 (/.f64 z t) (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) t)) z (/.f64 #s(literal 1 binary64) t)) z)) y)))
	75.1%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 (/.f64 z t) (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) t)) z)) y)))
	75.8%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 z t))) y)))
	72.7%	(-.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 (/.f64 z t) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) t)) y)) z)))
	64.9%	(-.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)))
	69.7%	#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))
	78.8%	#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))
✓	77.8%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
	78.1%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 t y)) x))
	28.2%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
▶	74.1%	#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)))
▶	16.1%	#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 1 861 to 1 346 computations (27.7% saved)

simplify120.0ms (0.6%)

Memory

15.8MiB live, 163.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))
cost-diff	0	(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))
cost-diff	0	(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)
cost-diff	0	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
cost-diff	0	#s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (fma.f64 (.f64 y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) z (*.f64 #s(literal 1/2 binary64) y)) z y) z)))
cost-diff	0	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (fma.f64 (.f64 y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) t)
cost-diff	0	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (fma.f64 (.f64 y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) t))
cost-diff	320	(fma.f64 (.f64 y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) z (.f64 #s(literal 1/2 binary64) y))
cost-diff	0	(fma.f64 (/.f64 y x) (/.f64 (neg.f64 z) t) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (fma.f64 (/.f64 y x) (/.f64 (neg.f64 z) t) #s(literal 1 binary64)) x))
cost-diff	0	#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)))
cost-diff	1024	(*.f64 (fma.f64 (/.f64 y x) (/.f64 (neg.f64 z) t) #s(literal 1 binary64)) x)
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))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	477
0	80	477
1	140	466
2	294	436
3	677	436
4	1716	424
5	4086	424
6	6042	424
0	8391	395

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

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

localize309.0ms (1.6%)

Memory

-17.0MiB live, 424.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.015625	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
accuracy	3.897528295939524	(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)
accuracy	9.374074546621605	#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))
accuracy	36.50717306837688	(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))
accuracy	0.32421875	(*.f64 y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)))
accuracy	3.897528295939524	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (fma.f64 (.f64 y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) t)
accuracy	12.41340811129303	#s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (fma.f64 (.f64 y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) z (*.f64 #s(literal 1/2 binary64) y)) z y) z)))
accuracy	15.362272962622848	#s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (fma.f64 (.f64 y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))
accuracy	0	#s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (fma.f64 (/.f64 y x) (/.f64 (neg.f64 z) t) #s(literal 1 binary64)) x))
accuracy	2.6755014879090826	(*.f64 (fma.f64 (/.f64 y x) (/.f64 (neg.f64 z) t) #s(literal 1 binary64)) x)
accuracy	5.979634732715381	(fma.f64 (/.f64 y x) (/.f64 (neg.f64 z) t) #s(literal 1 binary64))
accuracy	12.461364010374378	#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)))
accuracy	0	(neg.f64 z)
accuracy	5.311437439646362	(*.f64 (/.f64 (neg.f64 z) t) y)
accuracy	12.461364010374378	#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	41.05227644411365	#s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 z) t) y))
accuracy	0.015625	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)))))
accuracy	0.7686428827420342	(/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))))
accuracy	3.907907405266184	(/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)))
accuracy	12.41340811129303	#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))

Samples

240.0ms	227×	1	valid
19.0ms	25×	0	valid
6.0ms	4×	2	valid

Compiler

Compiled 804 to 96 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 203.0ms

adjust: 55.0ms (27.2% of total)

ival-log: 36.0ms (17.8% of total)

ival-mult: 32.0ms (15.8% of total)

ival-div: 21.0ms (10.4% of total)

ival-exp: 21.0ms (10.4% of total)

ival-add: 13.0ms (6.4% of total)

const: 13.0ms (6.4% of total)

ival-sub: 8.0ms (3.9% of total)

ival-expm1: 2.0ms (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)

series168.0ms (0.9%)

Memory

39.9MiB live, 236.2MiB allocated

Counts

23 → 816

Calls

Call 1

Inputs
#s(alt #<batchref> (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 #<batchref> (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 #<batchref> (patch (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) #<representation binary64>) () ())
#s(alt #<batchref> (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 #<batchref> (patch #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 z) t) y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (/.f64 (neg.f64 z) t) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (neg.f64 z) t) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 y x) (/.f64 (neg.f64 z) t) #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch #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))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (fma.f64 (/.f64 y x) (/.f64 (neg.f64 z) t) #s(literal 1 binary64)) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (/.f64 y x) (/.f64 (neg.f64 z) t) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (.f64 y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) z (.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (fma.f64 (.f64 y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) t)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (fma.f64 (.f64 y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) t) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (fma.f64 (.f64 y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t) #<representation binary64>) () ())
#s(alt #<batchref> (patch (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (fma.f64 (.f64 y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) z (*.f64 #s(literal 1/2 binary64) y)) z y) z)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) #<representation binary64>) () ())

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

Calls

12 calls:

Time	Variable		Point	Expression
37.0ms	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) (* (+ (* (/ y x) (/ (neg z) t)) 1) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (+ (* (/ y x) (/ (neg z) t)) 1) (+ (* (* y (+ (* 1/24 z) 1/6)) z) (* 1/2 y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (neg z) (* (- (exp z) 1) y) (* y (+ (* 1/24 z) 1/6)))
29.0ms	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) (* (+ (* (/ y x) (/ (neg z) t)) 1) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (+ (* (/ y x) (/ (neg z) t)) 1) (+ (* (* y (+ (* 1/24 z) 1/6)) z) (* 1/2 y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (neg z) (* (- (exp z) 1) y) (* y (+ (* 1/24 z) 1/6)))
11.0ms	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) (* (+ (* (/ y x) (/ (neg z) t)) 1) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (+ (* (/ y x) (/ (neg z) t)) 1) (+ (* (* y (+ (* 1/24 z) 1/6)) z) (* 1/2 y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (neg z) (* (- (exp z) 1) y) (* y (+ (* 1/24 z) 1/6)))
10.0ms	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) (* (+ (* (/ y x) (/ (neg z) t)) 1) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (+ (* (/ y x) (/ (neg z) t)) 1) (+ (* (* y (+ (* 1/24 z) 1/6)) z) (* 1/2 y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (neg z) (* (- (exp z) 1) y) (* y (+ (* 1/24 z) 1/6)))
10.0ms	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) (* (+ (* (/ y x) (/ (neg z) t)) 1) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (+ (* (/ y x) (/ (neg z) t)) 1) (+ (* (* y (+ (* 1/24 z) 1/6)) z) (* 1/2 y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (neg z) (* (- (exp z) 1) y) (* y (+ (* 1/24 z) 1/6)))

simplify216.0ms (1.1%)

Memory

-23.0MiB live, 246.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	592	12336
1	1846	11637
2	6398	11184
0	8255	9341

Stop Event

1×	iter limit
1×	node limit

Counts

816 → 768

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

rewrite213.0ms (1.1%)

Memory

14.7MiB live, 364.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	396
0	80	396
1	329	383
2	2717	383
0	8869	365

Stop Event

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

Counts

23 → 301

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

Outputs
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eval245.0ms (1.3%)

Memory: 4.7MiB live, 202.1MiB allocated
Compiler: Compiled 40 693 to 2 216 computations (94.6% saved)

prune121.0ms (0.6%)

Memory

13.2MiB live, 128.6MiB allocated

Pruning

40 alts after pruning (36 fresh and 4 done)

	Pruned	Kept	Total
New	1 113	21	1 134
Fresh	11	15	26
Picked	2	3	5
Done	0	1	1
Total	1 126	40	1 166

Accuracy

100.0%

Counts

1 166 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	80.2%	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x)
	55.1%	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) #s(approx (* y (exp z)) (fma.f64 z y y)))) t))
	68.8%	(-.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))
✓	75.9%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
	28.8%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* 1/2 (* z y)) y) z) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) t))
	56.9%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) z) (fma.f64 (.f64 y y) (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) y)) (.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y))) z (.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) z y) z)) t))
	62.5%	(-.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))
	66.3%	(-.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))
	71.2%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)) y) z y) z))) t))
	73.6%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z))) t))
▶	74.6%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) z y) z))) t))
	75.9%	(-.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)))))))
✓	86.3%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)))))
	71.2%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64))) z y) z))))))
	86.3%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))))
	83.2%	(-.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 (-.f64 y (*.f64 y y)) z) t) y) (/.f64 t y)) z))))
▶	90.1%	(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 y t) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y))))
	67.4%	(-.f64 x (*.f64 (pow.f64 (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) #s(literal -1/2 binary64))))
	37.1%	(-.f64 x (exp.f64 (.f64 (log.f64 (/.f64 t (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (fma.f64 z y #s(literal 1 binary64)))))) #s(literal -1 binary64))))
	61.0%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) z) (/.f64 (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) t) (/.f64 (.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) t)) z (/.f64 y t)) z)))
▶	70.0%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (fma.f64 #s(approx ( (/ (- y (* y y)) t) 1/2) (.f64 (.f64 y (/.f64 y t)) #s(literal -1/2 binary64))) z (/.f64 y t)) z)))
▶	84.8%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (expm1.f64 z) (/.f64 y t))))
	72.7%	(-.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 (/.f64 z t) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) t)) y)) z)))
✓	77.8%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
	78.1%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 t y)) x))
	79.3%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 y) (/.f64 z t) x))
	28.2%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
	15.3%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 z) y) t)))
	14.5%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (neg.f64 z) (/.f64 t y))))
	15.8%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 y (/.f64 (neg.f64 t) z))))
	59.8%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (fma.f64 (/.f64 y x) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) t) (.f64 t z)) (.f64 t t)) #s(literal 1 binary64)) x)))
	74.2%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (fma.f64 y (/.f64 (neg.f64 z) (.f64 x t)) #s(literal 1 binary64)) x)))
	10.0%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) z) t) y)))
	7.1%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) t) (.f64 t z)) (.f64 t t)) y)))
	77.2%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 (-.f64 t (/.f64 (.f64 z y) x)) t) x)))
✓	16.1%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 z) t) y)))
	14.3%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z))))
	15.3%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (.f64 (neg.f64 z) y) (pow.f64 t #s(literal -1 binary64)))))
	12.1%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 #s(approx (+ ( (/ y x) (/ (neg z) t)) 1) (*.f64 (/.f64 (neg.f64 y) x) (/.f64 z t))) x)))
▶	72.6%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 #s(approx (+ ( (/ y x) (/ (neg z) t)) 1) #s(literal 1 binary64)) x)))

Compiler

Compiled 2 316 to 1 661 computations (28.3% saved)

simplify267.0ms (1.4%)

Memory

-41.5MiB live, 101.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	518
0	83	518
1	152	516
2	301	490
3	549	490
4	956	490
5	1840	490
6	3617	490
7	5844	490
8	6822	490
9	7330	490
10	7565	490
11	7666	490
12	7827	490
0	8052	463

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

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

localize528.0ms (2.8%)

Memory

33.3MiB live, 344.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(expm1.f64 z)
accuracy	0.015625	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (expm1.f64 z) (/.f64 y t))))
accuracy	2.717308567987294	(*.f64 (expm1.f64 z) (/.f64 y t))
accuracy	12.370430054918176	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (expm1.f64 z) (/.f64 y t)))
accuracy	3.796760014511195	(.f64 (fma.f64 #s(approx ( (/ (- y (* y y)) t) 1/2) (.f64 (.f64 y (/.f64 y t)) #s(literal -1/2 binary64))) z (/.f64 y t)) z)
accuracy	9.482395274285336	(fma.f64 #s(approx (* (/ (- y (* y y)) t) 1/2) (.f64 (.f64 y (/.f64 y t)) #s(literal -1/2 binary64))) z (/.f64 y t))
accuracy	22.114130352092428	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (fma.f64 #s(approx ( (/ (- y (* y y)) t) 1/2) (.f64 (.f64 y (/.f64 y t)) #s(literal -1/2 binary64))) z (/.f64 y t)) z))
accuracy	28.170566969262346	#s(approx (* (/ (- y (* y y)) t) 1/2) (.f64 (.f64 y (/.f64 y t)) #s(literal -1/2 binary64)))
accuracy	0.06640625	(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) z y) z)
accuracy	3.897528295939524	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) z y) z))) t)
accuracy	12.41340811129303	#s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) z y) z)))
accuracy	15.583854470307012	#s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) z y) z))
accuracy	0	#s(approx (+ (* (neg z) (/ y t)) x) (.f64 #s(approx (+ ( (/ y x) (/ (neg z) t)) 1) #s(literal 1 binary64)) x))
accuracy	2.6755014879090826	(.f64 #s(approx (+ ( (/ y x) (/ (neg z) t)) 1) #s(literal 1 binary64)) x)
accuracy	12.461364010374378	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 #s(approx (+ ( (/ y x) (/ (neg z) t)) 1) #s(literal 1 binary64)) x)))
accuracy	21.766978575668947	#s(approx (+ (* (/ y x) (/ (neg z) t)) 1) #s(literal 1 binary64))
accuracy	0.5117146216604116	(fma.f64 (*.f64 y t) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z)))
accuracy	0.7686428827420342	(/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 y t) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)))
accuracy	5.491037608640011	(/.f64 (fma.f64 (*.f64 y t) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)
accuracy	11.054290500594663	#s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 y t) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y))

Samples

477.0ms	226×	1	valid
8.0ms	26×	0	valid
6.0ms	4×	2	valid

Compiler

Compiled 848 to 110 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 454.0ms

ival-mult: 123.0ms (27.1% of total)

ival-exp: 96.0ms (21.2% of total)

ival-log: 57.0ms (12.6% of total)

adjust: 48.0ms (10.6% of total)

ival-sub: 47.0ms (10.4% of total)

ival-add: 39.0ms (8.6% of total)

ival-div: 38.0ms (8.4% of total)

ival-expm1: 3.0ms (0.7% of total)

exact: 1.0ms (0.2% of total)

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

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

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

series220.0ms (1.2%)

Memory

-36.2MiB live, 257.1MiB allocated

Counts

23 → 852

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
33.0ms	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))))) (/ (+ (* (* y t) 1/2) (/ t (- (exp z) 1))) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (* (+ (* (/ y x) (/ (neg z) t)) 1) x) (+ (* (/ y x) (/ (neg z) t)) 1) (- 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) (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (- (exp z) 1) (/ y t)) (- (exp z) 1) (+ (* (* y t) 1/2) (/ t (- (exp z) 1))) (* (+ (* (* 1/2 y) z) y) z) (* (/ (- y (* y y)) t) 1/2))
25.0ms	x	@	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))))) (/ (+ (* (* y t) 1/2) (/ t (- (exp z) 1))) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (* (+ (* (/ y x) (/ (neg z) t)) 1) x) (+ (* (/ y x) (/ (neg z) t)) 1) (- 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) (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (- (exp z) 1) (/ y t)) (- (exp z) 1) (+ (* (* y t) 1/2) (/ t (- (exp z) 1))) (* (+ (* (* 1/2 y) z) y) z) (* (/ (- y (* y y)) t) 1/2))
24.0ms	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))))) (/ (+ (* (* y t) 1/2) (/ t (- (exp z) 1))) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (* (+ (* (/ y x) (/ (neg z) t)) 1) x) (+ (* (/ y x) (/ (neg z) t)) 1) (- 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) (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (- (exp z) 1) (/ y t)) (- (exp z) 1) (+ (* (* y t) 1/2) (/ t (- (exp z) 1))) (* (+ (* (* 1/2 y) z) y) z) (* (/ (- y (* y y)) t) 1/2))
14.0ms	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))))) (/ (+ (* (* y t) 1/2) (/ t (- (exp z) 1))) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (* (+ (* (/ y x) (/ (neg z) t)) 1) x) (+ (* (/ y x) (/ (neg z) t)) 1) (- 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) (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (- (exp z) 1) (/ y t)) (- (exp z) 1) (+ (* (* y t) 1/2) (/ t (- (exp z) 1))) (* (+ (* (* 1/2 y) z) y) z) (* (/ (- y (* y y)) t) 1/2))
14.0ms	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))))) (/ (+ (* (* y t) 1/2) (/ t (- (exp z) 1))) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (* (+ (* (/ y x) (/ (neg z) t)) 1) x) (+ (* (/ y x) (/ (neg z) t)) 1) (- 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) (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (- (exp z) 1) (/ y t)) (- (exp z) 1) (+ (* (* y t) 1/2) (/ t (- (exp z) 1))) (* (+ (* (* 1/2 y) z) y) z) (* (/ (- y (* y y)) t) 1/2))

simplify191.0ms (1%)

Memory

39.7MiB live, 307.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	739	13354
1	2381	12807
2	7812	12675
0	8032	10630

Stop Event

1×	iter limit
1×	node limit

Counts

852 → 809

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

rewrite218.0ms (1.2%)

Memory

0.3MiB live, 439.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	460
0	83	460
1	360	458
2	3040	458
0	9689	443

Stop Event

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

Counts

23 → 297

Calls

Call 1

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

Outputs
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eval299.0ms (1.6%)

Memory: 13.6MiB live, 320.0MiB allocated
Compiler: Compiled 44 726 to 2 411 computations (94.6% saved)

prune78.0ms (0.4%)

Memory

-45.2MiB live, 174.0MiB allocated

Pruning

40 alts after pruning (33 fresh and 7 done)

	Pruned	Kept	Total
New	1 128	11	1 139
Fresh	9	22	31
Picked	1	4	5
Done	1	3	4
Total	1 139	40	1 179

Accuracy

100.0%

Counts

1 179 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	80.2%	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x)
	55.1%	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) #s(approx (* y (exp z)) (fma.f64 z y y)))) t))
	68.8%	(-.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))
✓	75.9%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
	28.8%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* 1/2 (* z y)) y) z) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) t))
	56.9%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) z) (fma.f64 (.f64 y y) (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) y)) (.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y))) z (.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) z y) z)) t))
	62.5%	(-.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))
	66.3%	(-.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))
	71.2%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)) y) z y) z))) t))
✓	74.6%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) z y) z))) t))
	75.9%	(-.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)))))))
	71.2%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64))) z y) z))))))
	83.2%	(-.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))))
	86.8%	(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* y t) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) t) z (.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 y t) t))) z t) z)) y))))
	87.2%	(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* y t) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 y t) t)) z t) z)) y))))
	51.3%	(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* y t) 1/2) (/ t (- (exp z) 1))) (.f64 (.f64 y t) #s(literal 1/2 binary64))) y))))
	90.7%	(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* y t) 1/2) (/ t (- (exp z) 1))) y) (fma.f64 #s(literal 1/2 binary64) t (/.f64 (/.f64 t (expm1.f64 z)) y))))))
	80.1%	(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* y t) 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)))))
	53.5%	(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* y t) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t)))))
	67.4%	(-.f64 x (*.f64 (pow.f64 (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) #s(literal -1/2 binary64))))
	37.1%	(-.f64 x (exp.f64 (.f64 (log.f64 (/.f64 t (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (fma.f64 z y #s(literal 1 binary64)))))) #s(literal -1 binary64))))
	85.4%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 (expm1.f64 z) (/.f64 t y))))
	61.0%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) z) (/.f64 (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) t) (/.f64 (.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) t)) z (/.f64 y t)) z)))
✓	70.0%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (fma.f64 #s(approx ( (/ (- y (* y y)) t) 1/2) (.f64 (.f64 y (/.f64 y t)) #s(literal -1/2 binary64))) z (/.f64 y t)) z)))
	77.8%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
✓	84.8%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (expm1.f64 z) (/.f64 y t))))
	71.7%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (- (exp z) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) (/.f64 y t))))
	72.7%	(-.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 (/.f64 z t) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) t)) y)) z)))
✓	77.8%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
	78.1%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 t y)) x))
	28.2%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
	15.3%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 z) y) t)))
	14.5%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (neg.f64 z) (/.f64 t y))))
	15.8%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 y (/.f64 (neg.f64 t) z))))
	74.2%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (fma.f64 y (/.f64 (neg.f64 z) (.f64 x t)) #s(literal 1 binary64)) x)))
	77.2%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 (-.f64 t (/.f64 (.f64 z y) x)) t) x)))
✓	16.1%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 z) t) y)))
	14.3%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z)))
	12.1%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 #s(approx (+ ( (/ y x) (/ (neg z) t)) 1) (*.f64 (/.f64 (neg.f64 y) x) (/.f64 z t))) x)))
✓	72.6%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 #s(approx (+ ( (/ y x) (/ (neg z) t)) 1) #s(literal 1 binary64)) x)))

Compiler

Compiled 3 564 to 1 375 computations (61.4% saved)

regimes254.0ms (1.3%)

Memory

27.3MiB live, 418.3MiB allocated

Counts

76 → 2

Calls

Call 1

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

Outputs

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

Calls

9 calls:

47.0ms	z
40.0ms	(exp.f64 z)
37.0ms	t
23.0ms	x
23.0ms	y

Results

Accuracy	Segments	Branch
90.7%	1	`x`
94.9%	3	`y`
94.3%	2	`z`
90.7%	1	`t`
90.7%	1	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
90.7%	1	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
94.0%	2	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
94.0%	2	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
94.3%	2	`(exp.f64 z)`

Compiler

Compiled 47 to 63 computations (-34% saved)

regimes79.0ms (0.4%)

Memory

10.0MiB live, 170.0MiB allocated

Counts

72 → 2

Calls

Call 1

Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 #s(approx (+ ( (/ y x) (/ (neg z) t)) 1) #s(literal 1 binary64)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 z) t) y)))
#s(approx (- 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 y) (/.f64 z t) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* y t) 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 (fma.f64 y (/.f64 (neg.f64 z) (.f64 x t)) #s(literal 1 binary64)) x)))
#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 (/ (- (exp z) 1) t) (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 z t))) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) z y) z))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 #s(approx (+ ( (/ y x) (/ (neg z) t)) 1) (*.f64 (/.f64 (neg.f64 y) x) (/.f64 z t))) 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) t) (.f64 t z)) (.f64 t 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)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 (-.f64 t (/.f64 (.f64 z y) x)) t) 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 (+ (* (* y t) 1/2) (/ t (- (exp z) 1))) (.f64 (.f64 y t) #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 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (- (exp z) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) (/.f64 y t))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 y (fma.f64 #s(literal -1/2 binary64) y #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(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)) y) z y) z))) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (fma.f64 #s(approx ( (/ (- y (* y y)) t) 1/2) (.f64 (.f64 y (/.f64 y t)) #s(literal -1/2 binary64))) z (/.f64 y t)) 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 (fma.f64 (/.f64 z t) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) t)) y)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 (/.f64 z t) (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) t)) z)) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (fma.f64 (.f64 y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) t))
(-.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 (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (fma.f64 (/.f64 y x) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) t) (.f64 t z)) (.f64 t t)) #s(literal 1 binary64)) x)))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64))) z y) z))))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* y t) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 y t) t)) z t) z)) y))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* y t) 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 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 (fma.f64 (/.f64 z t) (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) t)) z (/.f64 #s(literal 1 binary64) t)) z)) y)))
(-.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(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* y t) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) t) z (.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 y t) t))) z t) z)) y))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) z) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t))
(-.f64 x (/.f64 #s(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 (-.f64 y (*.f64 y y)) z) t) y) (/.f64 t y)) z))))
(-.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 #s(literal 1/6 binary64) z) (/.f64 (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) t) (/.f64 (.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) t)) z (/.f64 y t)) 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)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (.f64 (neg.f64 z) y) (pow.f64 t #s(literal -1 binary64)))))
#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 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* 1/2 (* z y)) y) z) 1) #s(literal 1 binary64)))) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (expm1.f64 z) (/.f64 y t))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 (expm1.f64 z) (/.f64 t y))))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) #s(approx (* y (exp z)) (fma.f64 z y y)))) t))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)))))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* 1/2 (* z y)) y) z) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) 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))
(-.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 (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) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* y t) 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 y t) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) z) (fma.f64 (.f64 y y) (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) y)) (.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y))) z (.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 (fma.f64 (.f64 #s(literal 1/24 binary64) z) (fma.f64 (.f64 y y) (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) y)) (.f64 (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) z (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t))
#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 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))

Outputs

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

Calls

4 calls:

22.0ms	z
18.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
18.0ms	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
17.0ms	(exp.f64 z)

Results

Accuracy	Segments	Branch
94.0%	2	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
94.0%	2	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
90.7%	1	`z`
90.7%	1	`(exp.f64 z)`

Compiler

Compiled 20 to 28 computations (-40% saved)

regimes71.0ms (0.4%)

Memory

3.8MiB live, 122.9MiB allocated

Counts

71 → 2

Calls

Call 1

Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 #s(approx (+ ( (/ y x) (/ (neg z) t)) 1) #s(literal 1 binary64)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 z) t) y)))
#s(approx (- 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 y) (/.f64 z t) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* y t) 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 (fma.f64 y (/.f64 (neg.f64 z) (.f64 x t)) #s(literal 1 binary64)) x)))
#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 (/ (- (exp z) 1) t) (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 z t))) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) z y) z))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 #s(approx (+ ( (/ y x) (/ (neg z) t)) 1) (*.f64 (/.f64 (neg.f64 y) x) (/.f64 z t))) 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) t) (.f64 t z)) (.f64 t 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)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 (-.f64 t (/.f64 (.f64 z y) x)) t) 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 (+ (* (* y t) 1/2) (/ t (- (exp z) 1))) (.f64 (.f64 y t) #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 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (- (exp z) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) (/.f64 y t))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 y (fma.f64 #s(literal -1/2 binary64) y #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(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)) y) z y) z))) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (fma.f64 #s(approx ( (/ (- y (* y y)) t) 1/2) (.f64 (.f64 y (/.f64 y t)) #s(literal -1/2 binary64))) z (/.f64 y t)) 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 (fma.f64 (/.f64 z t) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) t)) y)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 (/.f64 z t) (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) t)) z)) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (fma.f64 (.f64 y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) t))
(-.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 (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (fma.f64 (/.f64 y x) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) t) (.f64 t z)) (.f64 t t)) #s(literal 1 binary64)) x)))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64))) z y) z))))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* y t) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 y t) t)) z t) z)) y))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* y t) 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 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 (fma.f64 (/.f64 z t) (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) t)) z (/.f64 #s(literal 1 binary64) t)) z)) y)))
(-.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(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* y t) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) t) z (.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 y t) t))) z t) z)) y))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) z) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t))
(-.f64 x (/.f64 #s(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 (-.f64 y (*.f64 y y)) z) t) y) (/.f64 t y)) z))))
(-.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 #s(literal 1/6 binary64) z) (/.f64 (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) t) (/.f64 (.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) t)) z (/.f64 y t)) 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)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (.f64 (neg.f64 z) y) (pow.f64 t #s(literal -1 binary64)))))
#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 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* 1/2 (* z y)) y) z) 1) #s(literal 1 binary64)))) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (expm1.f64 z) (/.f64 y t))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 (expm1.f64 z) (/.f64 t y))))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) #s(approx (* y (exp z)) (fma.f64 z y y)))) t))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)))))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* 1/2 (* z y)) y) z) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) 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))
(-.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 (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) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* y t) 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 y t) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) z) (fma.f64 (.f64 y y) (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) y)) (.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y))) z (.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 (fma.f64 (.f64 #s(literal 1/24 binary64) z) (fma.f64 (.f64 y y) (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) y)) (.f64 (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) z (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t))
#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 (/ (+ (* (* y t) 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 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)))) t))

Calls

3 calls:

25.0ms	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
24.0ms	y
18.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))

Results

Accuracy	Segments	Branch
93.2%	2	`y`
90.7%	1	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
90.7%	1	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`

Compiler

Compiled 18 to 23 computations (-27.8% saved)

regimes310.0ms (1.6%)

Memory

-20.5MiB live, 212.8MiB allocated

Counts

66 → 3

Calls

Call 1

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

Outputs

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

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

9 calls:

63.0ms	z
47.0ms	y
43.0ms	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
38.0ms	t
34.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))

Results

Accuracy	Segments	Branch
89.9%	2	`z`
87.8%	1	`x`
87.8%	1	`t`
89.4%	2	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
87.8%	1	`(exp.f64 z)`
90.1%	2	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
90.0%	2	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
90.0%	2	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
92.7%	3	`y`

Compiler

Compiled 47 to 63 computations (-34% saved)

regimes20.0ms (0.1%)

Memory

15.4MiB live, 15.4MiB allocated

Counts

63 → 3

Calls

Call 1

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

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

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

Calls

1 calls:

17.0ms

Results

Accuracy	Segments	Branch
92.7%	3	`y`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes95.0ms (0.5%)

Memory

-1.4MiB live, 42.3MiB 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 #s(approx (+ ( (/ y x) (/ (neg z) t)) 1) #s(literal 1 binary64)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 z) t) y)))
#s(approx (- 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 y) (/.f64 z t) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* y t) 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 (fma.f64 y (/.f64 (neg.f64 z) (.f64 x t)) #s(literal 1 binary64)) x)))
#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 (/ (- (exp z) 1) t) (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 z t))) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) z y) z))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 #s(approx (+ ( (/ y x) (/ (neg z) t)) 1) (*.f64 (/.f64 (neg.f64 y) x) (/.f64 z t))) 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) t) (.f64 t z)) (.f64 t 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)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 (-.f64 t (/.f64 (.f64 z y) x)) t) 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 (+ (* (* y t) 1/2) (/ t (- (exp z) 1))) (.f64 (.f64 y t) #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 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (- (exp z) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) (/.f64 y t))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 y (fma.f64 #s(literal -1/2 binary64) y #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(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)) y) z y) z))) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (fma.f64 #s(approx ( (/ (- y (* y y)) t) 1/2) (.f64 (.f64 y (/.f64 y t)) #s(literal -1/2 binary64))) z (/.f64 y t)) 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 (fma.f64 (/.f64 z t) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) t)) y)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 (/.f64 z t) (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) t)) z)) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (fma.f64 (.f64 y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) t))
(-.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 (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (fma.f64 (/.f64 y x) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) t) (.f64 t z)) (.f64 t t)) #s(literal 1 binary64)) x)))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64))) z y) z))))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* y t) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 y t) t)) z t) z)) y))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* y t) 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 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 (fma.f64 (/.f64 z t) (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) t)) z (/.f64 #s(literal 1 binary64) t)) z)) y)))
(-.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(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* y t) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) t) z (.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 y t) t))) z t) z)) y))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) z) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t))
(-.f64 x (/.f64 #s(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 (-.f64 y (*.f64 y y)) z) t) y) (/.f64 t y)) z))))
(-.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 #s(literal 1/6 binary64) z) (/.f64 (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) t) (/.f64 (.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) t)) z (/.f64 y t)) 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)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (.f64 (neg.f64 z) y) (pow.f64 t #s(literal -1 binary64)))))
#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 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* 1/2 (* z y)) y) z) 1) #s(literal 1 binary64)))) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (expm1.f64 z) (/.f64 y t))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))

Outputs

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

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

Calls

4 calls:

51.0ms	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
16.0ms	y
13.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
13.0ms	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))

Results

Accuracy	Segments	Branch
90.0%	2	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
90.0%	2	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
89.4%	2	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
89.4%	2	`y`

Compiler

Compiled 29 to 34 computations (-17.2% saved)

regimes167.0ms (0.9%)

Memory

-11.7MiB live, 65.8MiB allocated

Counts

54 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

90.0ms	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
62.0ms	z
12.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))

Results

Accuracy	Segments	Branch
89.5%	2	`z`
90.6%	3	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
90.6%	3	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`

Compiler

Compiled 18 to 23 computations (-27.8% saved)

regimes185.0ms (1%)

Memory

20.5MiB live, 181.9MiB allocated

Counts

53 → 1

Calls

Call 1

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

Calls

9 calls:

41.0ms	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
29.0ms	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
25.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
18.0ms	t
15.0ms	y

Results

Accuracy	Segments	Branch
87.2%	1	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
87.2%	1	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
87.2%	1	`x`
87.2%	1	`t`
87.2%	1	`(exp.f64 z)`
87.2%	1	`y`
87.2%	1	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
87.2%	1	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
87.2%	1	`z`

Compiler

Compiled 47 to 63 computations (-34% saved)

regimes152.0ms (0.8%)

Memory

-28.8MiB live, 183.4MiB allocated

Counts

39 → 2

Calls

Call 1

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

Outputs

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

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

Calls

9 calls:

27.0ms	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
25.0ms	t
22.0ms	y
20.0ms	x
15.0ms	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))

Results

Accuracy	Segments	Branch
84.2%	3	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
84.2%	3	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
81.0%	2	`y`
85.8%	2	`z`
81.5%	2	`t`
79.3%	1	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
79.3%	1	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
85.8%	2	`(exp.f64 z)`
81.2%	2	`x`

Compiler

Compiled 47 to 63 computations (-34% saved)

regimes21.0ms (0.1%)

Memory

0.4MiB live, 40.4MiB allocated

Counts

34 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

11.0ms	z
8.0ms	(exp.f64 z)

Results

Accuracy	Segments	Branch
85.8%	2	`z`
85.8%	2	`(exp.f64 z)`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes11.0ms (0.1%)

Memory

-11.0MiB live, 27.9MiB 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 #s(approx (+ ( (/ y x) (/ (neg z) t)) 1) #s(literal 1 binary64)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 z) t) y)))
#s(approx (- 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 y) (/.f64 z t) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* y t) 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 (fma.f64 y (/.f64 (neg.f64 z) (.f64 x t)) #s(literal 1 binary64)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 t y)) x))

Outputs

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

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

Calls

2 calls:

5.0ms	z
4.0ms	(exp.f64 z)

Results

Accuracy	Segments	Branch
85.8%	2	`z`
85.8%	2	`(exp.f64 z)`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes21.0ms (0.1%)

Memory

17.1MiB live, 56.2MiB allocated

Counts

5 → 3

Calls

Call 1

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

Calls

9 calls:

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

Results

Accuracy	Segments	Branch
72.6%	1	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
72.6%	1	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
72.6%	1	`y`
72.6%	1	`x`
76.2%	3	`t`
72.6%	1	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
72.6%	1	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
72.6%	1	`z`
72.6%	1	`(exp.f64 z)`

Compiler

Compiled 47 to 63 computations (-34% saved)

regimes13.0ms (0.1%)

Memory

-12.1MiB live, 26.3MiB allocated

Accuracy

Total -44.3b remaining (-252.4%)

Threshold costs -44.3b (-252.4%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
72.6%	1	`x`
72.6%	1	`y`
72.6%	1	`z`
72.6%	1	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
72.6%	1	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
72.6%	1	`t`

Compiler

Compiled 21 to 35 computations (-66.7% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9995502393854284	0.999999993917597

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	1.0000000000000004

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch112.0ms (0.6%)

Memory

36.8MiB live, 151.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
106.0ms	7.787813444209812e+189	1.5015720941945988e+209

Samples

59.0ms	165×	1	valid
25.0ms	74×	1	invalid
8.0ms	104×	0	invalid
1.0ms	11×	0	valid

Compiler

Compiled 709 to 547 computations (22.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-exp: 35.0ms (46.7% of total)

ival-log: 13.0ms (17.3% of total)

adjust: 9.0ms (12% of total)

ival-sub: 6.0ms (8% of total)

ival-div: 4.0ms (5.3% of total)

ival-mult: 4.0ms (5.3% of total)

ival-add: 3.0ms (4% of total)

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

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

exact: 0.0ms (0% of total)

bsearch114.0ms (0.6%)

Memory

-21.7MiB live, 135.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
53.0ms	7.787813444209812e+189	1.5015720941945988e+209
54.0ms	-1.371548219403974e+132	-2.0947676761207476e+126

Samples

65.0ms	177×	1	valid
11.0ms	44×	1	invalid
8.0ms	64×	0	invalid
5.0ms	63×	0	valid

Compiler

Compiled 831 to 712 computations (14.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-exp: 30.0ms (40.1% of total)

ival-log: 19.0ms (25.4% of total)

ival-div: 7.0ms (9.4% of total)

ival-sub: 6.0ms (8% of total)

adjust: 5.0ms (6.7% of total)

ival-mult: 4.0ms (5.3% of total)

ival-add: 3.0ms (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

5.7MiB live, 5.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	7.787813444209812e+189	1.5015720941945988e+209
1.0ms	-1.371548219403974e+132	-2.0947676761207476e+126

Compiler

Compiled 776 to 679 computations (12.5% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	1.0000000000000004

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch25.0ms (0.1%)

Memory

-6.3MiB live, 31.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	-2.459931564416018e+88	-2.5682029331736434e+87

Samples

12.0ms	31×	1	valid
5.0ms	65×	0	valid
1.0ms	18×	0	invalid

Compiler

Compiled 424 to 319 computations (24.8% saved)

Precisions

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

ival-log: 9.0ms (60.1% of total)

ival-add: 1.0ms (6.7% of total)

ival-sub: 1.0ms (6.7% of total)

adjust: 1.0ms (6.7% of total)

ival-div: 1.0ms (6.7% of total)

ival-exp: 1.0ms (6.7% of total)

ival-mult: 1.0ms (6.7% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.6363872123380707	0.9514348630234933

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.6363872123380707	0.9514348630234933

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.6363872123380707	0.9514348630234933

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch78.0ms (0.4%)

Memory

4.9MiB live, 166.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	1.9473242342856813e-140	7.658079407966515e-140
48.0ms	-2.595040184040939e-237	-9.319017061734226e-239

Samples

62.0ms	148×	1	valid
4.0ms	44×	0	valid

Compiler

Compiled 808 to 595 computations (26.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-log: 29.0ms (50.4% of total)

ival-exp: 11.0ms (19.1% of total)

adjust: 6.0ms (10.4% of total)

ival-sub: 4.0ms (7% of total)

ival-div: 3.0ms (5.2% of total)

ival-mult: 2.0ms (3.5% of total)

ival-add: 2.0ms (3.5% of total)

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

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

exact: 0.0ms (0% of total)

simplify39.0ms (0.2%)

Memory

-13.6MiB live, 67.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	153	863
1	201	863
2	271	863
3	321	863
4	357	863
5	365	863

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (exp.f64 z) #s(literal 1125449546879887/1125899906842624 binary64)) (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) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* y t) 1/2) (/ t (- (exp z) 1))) y) (fma.f64 #s(literal 1/2 binary64) t (/.f64 (/.f64 t (expm1.f64 z)) y)))))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 1 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) ( y (exp z))))) #s(approx (/ (+ (* (* y t) 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 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)))
(if (<=.f64 y #s(literal 89999999999999998615752596619344962556650145961592274296911924616970038274268406697357410226669428115540799832040641823326527145956277864699732194204315177168436657403692857555812190200528896 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* y t) 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 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)))) t)))
(if (<=.f64 y #s(literal -17000000000000000277524714000480972917741791551281995359606699825920288925746421262120669364240523421840167107723181755197728751616 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) (if (<=.f64 y #s(literal 22999999999999999294489092596528375322873674073353133159246239791502170792312246379426395795303531653965989558864722258533424242521428393901323511949278824433645947413806780338422372661985280 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 -17000000000000000277524714000480972917741791551281995359606699825920288925746421262120669364240523421840167107723181755197728751616 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) (if (<=.f64 y #s(literal 22999999999999999294489092596528375322873674073353133159246239791502170792312246379426395795303531653965989558864722258533424242521428393901323511949278824433645947413806780338422372661985280 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 1 binary64)) (-.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))))) #s(approx (/ (+ (* (* y t) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t))))))
(if (<=.f64 z #s(literal -2599999999999999982825836825430159581044064870231899534515516269278378105752791570972672 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (expm1.f64 z) (/.f64 y t)))) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) ( y (exp z))))) (/.f64 #s(approx (+ (* (* y t) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) t) z (.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 y t) t))) z t) z)) y)))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* y t) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 y t) t)) z t) z)) y))))
(if (<=.f64 (exp.f64 z) #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 #s(approx (+ ( (/ y x) (/ (neg z) t)) 1) #s(literal 1 binary64)) x))) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 (/.f64 z t) (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) t)) z)) y))))
(if (<=.f64 (exp.f64 z) #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 #s(approx (+ ( (/ y x) (/ (neg z) t)) 1) #s(literal 1 binary64)) x))) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 z t))) y))))
(if (<=.f64 (exp.f64 z) #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 #s(approx (+ ( (/ y x) (/ (neg z) t)) 1) #s(literal 1 binary64)) x))) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 y) (/.f64 z t) x)))
(if (<=.f64 t #s(literal -6451772274754039/29326237612518360273324834748083034614499060912302748190148044495166529541481373859169571088204419456439664137440255713356182385415243137741255706666562129531405183291370713192721204491754474266874920968429307133415352886893299285622127397997029678383104 binary64)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 #s(approx (+ ( (/ y x) (/ (neg z) t)) 1) #s(literal 1 binary64)) x))) (if (<=.f64 t #s(literal 1099440250255293/53631231719770388398296099992823384509917463282369573510894245774887056120294187907207497192667613710760127432745944203415015531247786279785734596024336384 binary64)) #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 #s(approx (+ ( (/ y x) (/ (neg z) t)) 1) #s(literal 1 binary64)) x)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 #s(approx (+ ( (/ y x) (/ (neg z) t)) 1) #s(literal 1 binary64)) x)))

Outputs
(if (<=.f64 (exp.f64 z) #s(literal 1125449546879887/1125899906842624 binary64)) (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) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* y t) 1/2) (/ t (- (exp z) 1))) y) (fma.f64 #s(literal 1/2 binary64) t (/.f64 (/.f64 t (expm1.f64 z)) y)))))))
(if (<=.f64 (+.f64 (.f64 y (exp.f64 z)) (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) ( y (exp z))))) #s(approx (/ (+ (* (* y t) 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 (+.f64 (*.f64 y (exp.f64 z)) (-.f64 #s(literal 1 binary64) y))) t)))
(if (<=.f64 y #s(literal 89999999999999998615752596619344962556650145961592274296911924616970038274268406697357410226669428115540799832040641823326527145956277864699732194204315177168436657403692857555812190200528896 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* y t) 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 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64)))) t)))
(if (<=.f64 y #s(literal -17000000000000000277524714000480972917741791551281995359606699825920288925746421262120669364240523421840167107723181755197728751616 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) (if (<=.f64 y #s(literal 22999999999999999294489092596528375322873674073353133159246239791502170792312246379426395795303531653965989558864722258533424242521428393901323511949278824433645947413806780338422372661985280 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 y z) y) z #s(literal 1 binary64)))) t))))
(if (<=.f64 y #s(literal -17000000000000000277524714000480972917741791551281995359606699825920288925746421262120669364240523421840167107723181755197728751616 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) (if (<=.f64 y #s(literal 22999999999999999294489092596528375322873674073353133159246239791502170792312246379426395795303531653965989558864722258533424242521428393901323511949278824433645947413806780338422372661985280 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))))
(if (<=.f64 (+.f64 (.f64 y (exp.f64 z)) (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (-.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))))) #s(approx (/ (+ (* (* y t) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t))))))
(if (<=.f64 z #s(literal -2599999999999999982825836825430159581044064870231899534515516269278378105752791570972672 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 y t) (expm1.f64 z)))) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) ( y (exp z))))) (/.f64 #s(approx (+ (* (* y t) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) t) z (.f64 (-.f64 (*.f64 y t) t) #s(literal 1/2 binary64))) z t) z)) y)))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* y t) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (.f64 (-.f64 (.f64 y t) t) #s(literal 1/2 binary64)) z t) z)) y))))
(if (<=.f64 (exp.f64 z) #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 #s(approx (+ ( (/ y x) (/ (neg z) t)) 1) #s(literal 1 binary64)) x))) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 (/.f64 z t) (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) t)) z)) y))))
(if (<=.f64 (exp.f64 z) #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 #s(approx (+ ( (/ y x) (/ (neg z) t)) 1) #s(literal 1 binary64)) x))) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 z t))) y))))
(if (<=.f64 (exp.f64 z) #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 #s(approx (+ ( (/ y x) (/ (neg z) t)) 1) #s(literal 1 binary64)) x))) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 y) (/.f64 z t) x)))
(if (<=.f64 t #s(literal -6451772274754039/29326237612518360273324834748083034614499060912302748190148044495166529541481373859169571088204419456439664137440255713356182385415243137741255706666562129531405183291370713192721204491754474266874920968429307133415352886893299285622127397997029678383104 binary64)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 #s(approx (+ ( (/ y x) (/ (neg z) t)) 1) #s(literal 1 binary64)) x))) (if (<=.f64 t #s(literal 1099440250255293/53631231719770388398296099992823384509917463282369573510894245774887056120294187907207497192667613710760127432745944203415015531247786279785734596024336384 binary64)) #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 #s(approx (+ ( (/ y x) (/ (neg z) t)) 1) #s(literal 1 binary64)) x)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 #s(approx (+ ( (/ y x) (/ (neg z) t)) 1) #s(literal 1 binary64)) x)))

soundness1.5s (7.7%)

Memory

52.1MiB live, 1 234.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	739	13354
1	2381	12807
2	7812	12675
0	8032	10630
0	519	11568
1	1680	11186
2	5087	10663
0	8045	8749
0	335	2420
1	1012	2316
2	3176	2227
0	8212	1752
0	592	12336
1	1846	11637
2	6398	11184
0	8255	9341
0	12	45
0	19	45
1	73	45
2	593	45
3	7204	45
0	8984	38
0	41	327
0	68	327
1	293	327
2	2452	327
0	8959	315

Stop Event

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

Compiler

Compiled 1 542 to 729 computations (52.7% saved)

preprocess223.0ms (1.2%)

Memory: -28.5MiB live, 251.3MiB allocated
Compiler: Compiled 1 834 to 384 computations (79.1% 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%)

analyze359.0ms (1.9%)

sample8.1s (42.7%)

explain647.0ms (3.4%)

preprocess278.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify36.0ms (0.2%)

localize141.0ms (0.7%)

series490.0ms (2.6%)

simplify295.0ms (1.6%)

rewrite424.0ms (2.2%)

eval88.0ms (0.5%)

prune30.0ms (0.2%)

simplify197.0ms (1%)

localize279.0ms (1.5%)

series170.0ms (0.9%)

simplify222.0ms (1.2%)

rewrite204.0ms (1.1%)

eval223.0ms (1.2%)

prune137.0ms (0.7%)

simplify120.0ms (0.6%)

localize309.0ms (1.6%)

series168.0ms (0.9%)

simplify216.0ms (1.1%)

rewrite213.0ms (1.1%)

eval245.0ms (1.3%)

prune121.0ms (0.6%)

simplify267.0ms (1.4%)

localize528.0ms (2.8%)

series220.0ms (1.2%)

simplify191.0ms (1%)

rewrite218.0ms (1.2%)

eval299.0ms (1.6%)

prune78.0ms (0.4%)

regimes254.0ms (1.3%)

regimes79.0ms (0.4%)

regimes71.0ms (0.4%)

regimes310.0ms (1.6%)

regimes20.0ms (0.1%)

regimes95.0ms (0.5%)

regimes167.0ms (0.9%)

regimes185.0ms (1%)

regimes152.0ms (0.8%)

regimes21.0ms (0.1%)

regimes11.0ms (0.1%)

regimes21.0ms (0.1%)

regimes13.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch112.0ms (0.6%)

bsearch114.0ms (0.6%)

bsearch3.0ms (0%)

bsearch1.0ms (0%)

bsearch25.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch78.0ms (0.4%)

simplify39.0ms (0.2%)

soundness1.5s (7.7%)

preprocess223.0ms (1.2%)

end0.0ms (0%)

Profiling

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