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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze381.0ms (2%)

Memory

0.4MiB live, 497.7MiB 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
20.3%	18.7%	73.3%	0.2%	0%	7.8%	0%	12

Compiler

Compiled 15 to 14 computations (6.7% saved)

sample7.9s (40.9%)

Memory

87.5MiB live, 5 184.3MiB allocated

Samples

2.1s	1 252×	5	exit
1.6s	3 291×	1	valid
877.0ms	4 965×	0	valid
636.0ms	1 831×	0	invalid
221.0ms	380×	4	exit
139.0ms	409×	1	invalid

Precisions

Click to see histograms. Total time spent on operations: 4.8s

ival-log: 2.4s (50.9% of total)

ival-sub: 713.0ms (15% of total)

ival-exp: 617.0ms (13% of total)

ival-add: 347.0ms (7.3% of total)

adjust: 301.0ms (6.3% of total)

ival-div: 174.0ms (3.7% of total)

ival-mult: 154.0ms (3.2% of total)

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

exact: 9.0ms (0.2% of total)

ival-assert: 6.0ms (0.1% of total)

Bogosity

explain456.0ms (2.4%)

Memory

-15.7MiB live, 503.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
171	40	(5.140765799162606e-17 6.4678660824378395e-211 1.0298329038374589e-202 -6.215957035000042e-262)	0	-	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
65	4	(1.4225497762509526e-149 1116.1301938620886 -1.5442211108837976e-208 64580371237381930.0)	0	-	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
17	0	-	4	(4.9068116662921077e-172 4.355620253415279e-168 5.807352830554295e-147 -1.884097157673781e-257)	`(/.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	211	0
`+.f64`	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`	cancellation	27	0

Confusion

	Predicted +	Predicted -
+	90	13
-	132	21

Precision

0.40540540540540543

Recall

0.8737864077669902

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	90	0	13
-	132	0	21

Precision?

0.40540540540540543

Recall?

0.8737864077669902

Freqs

test

number	freq
0	34
1	206
2	16

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

233.0ms	404×	1	valid
12.0ms	16×	2	valid
10.0ms	92×	0	valid

Compiler

Compiled 182 to 52 computations (71.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 222.0ms

ival-log: 149.0ms (67.3% of total)

ival-exp: 31.0ms (14% of total)

adjust: 11.0ms (5% of total)

ival-sub: 11.0ms (5% of total)

ival-div: 8.0ms (3.6% of total)

ival-mult: 6.0ms (2.7% of total)

ival-add: 5.0ms (2.3% of total)

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

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

exact: 0.0ms (0% of total)

preprocess284.0ms (1.5%)

Memory

0.7MiB live, 94.4MiB 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 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))

Compiler

Compiled 13 to 12 computations (7.7% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB 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
▶	61.8%	(-.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

-0.9MiB live, 38.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
cost-diff	0	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
cost-diff	64	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
cost-diff	320	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize118.0ms (0.6%)

Memory

-19.1MiB live, 145.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(*.f64 y (exp.f64 z))
accuracy	3.5705203631824736	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
accuracy	15.207898423490004	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
accuracy	38.64175737081323	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))

Samples

94.0ms	202×	1	valid
5.0ms	8×	2	valid
5.0ms	46×	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: 37.0ms (42.1% of total)

ival-exp: 21.0ms (23.9% of total)

ival-add: 13.0ms (14.8% of total)

adjust: 6.0ms (6.8% of total)

ival-sub: 5.0ms (5.7% of total)

ival-div: 4.0ms (4.5% of total)

ival-mult: 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)

series160.0ms (0.8%)

Memory

25.5MiB live, 182.0MiB allocated

Counts

5 → 156

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
55.0ms	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)))
32.0ms	t	@	0	((+ (- 1 y) (* y (exp z))) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z)))
27.0ms	t	@	inf	((+ (- 1 y) (* y (exp z))) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z)))
16.0ms	z	@	inf	((+ (- 1 y) (* y (exp z))) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z)))
12.0ms	t	@	-inf	((+ (- 1 y) (* y (exp z))) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z)))

simplify597.0ms (3.1%)

Memory

0.0MiB live, 146.5MiB 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
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
x
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
x
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
1
#s(literal 1 binary64)
(+ 1 (* y z))
(fma.f64 z y #s(literal 1 binary64))
(+ 1 (* z (+ y (* 1/2 (* y z)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64))
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))))
(fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64))
(* y z)
(*.f64 z y)
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2)))))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)
(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2))))))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) z) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)
(* z (+ y (* z (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* z (+ (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) z) (fma.f64 (.f64 y y) (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) y)) (.f64 (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) z (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)
x
(+ x (* -1 (/ (* y z) t)))
(fma.f64 (neg.f64 z) (/.f64 y t) x)
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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))))
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(/ (* y z) t)
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(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))
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(.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (/.f64 z t)) #s(literal 1/6 binary64) (.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64))) z (/.f64 y t)) z)
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)))))) (/ y t)))
(.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) t) #s(literal 1/6 binary64) (.f64 (.f64 (fma.f64 (.f64 y y) (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) y)) (/.f64 z t)) #s(literal 1/24 binary64))) z (.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64))) z (/.f64 y t)) z)
y
(+ y (* y z))
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(+ y (* z (+ y (* 1/2 (* y z)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z y)
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(- (+ 1 (* y (exp z))) y)
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64))
(- (+ 1 (* y (exp z))) y)
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64))
(- (+ 1 (* y (exp z))) y)
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(- (+ 1 (* y (exp z))) y)
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64))
(log (- (+ 1 (* y (exp z))) y))
(log1p.f64 (*.f64 (expm1.f64 z) y))
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(log1p.f64 (*.f64 (expm1.f64 z) y))
(log (- (+ 1 (* y (exp z))) y))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(log (- (+ 1 (* y (exp z))) y))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
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(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(* y (exp z))
(*.f64 (exp.f64 z) y)
(* y (exp z))
(*.f64 (exp.f64 z) y)
(* y (exp z))
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x
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rewrite494.0ms (2.6%)

Memory

-18.0MiB live, 249.0MiB 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
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval76.0ms (0.4%)

Memory: 4.0MiB live, 154.3MiB allocated
Compiler: Compiled 12 692 to 1 636 computations (87.1% saved)

prune23.0ms (0.1%)

Memory

1.5MiB live, 78.4MiB allocated

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	419	17	436
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	420	17	437

Accuracy

100.0%

Counts

437 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.8%	(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 3 binary64))) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x)))
	84.1%	(-.f64 x (/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) #s(literal -1 binary64))))
	60.8%	(-.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))
▶	63.7%	(-.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))
	70.1%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
▶	76.3%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (expm1.f64 z)) y))) t))
	30.0%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))
	73.5%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
▶	54.0%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) z) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t))
	62.5%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t))
▶	90.0%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
	76.9%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
	73.8%	(-.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))))
	62.3%	(-.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)))
	89.7%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
▶	74.8%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
	28.5%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))

Compiler

Compiled 526 to 408 computations (22.4% saved)

simplify237.0ms (1.2%)

Memory

19.5MiB live, 297.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (expm1.f64 z)) y)))
cost-diff	0	(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (expm1.f64 z)) y))) t)
cost-diff	0	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (expm1.f64 z)) y))) t))
cost-diff	832	(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (expm1.f64 z)) y)
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 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) z) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t)
cost-diff	0	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) z) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t))
cost-diff	128	(.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64))
cost-diff	320	(fma.f64 (.f64 #s(literal 1/6 binary64) z) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)))
cost-diff	0	(/.f64 y t)
cost-diff	0	(*.f64 (/.f64 y t) z)
cost-diff	0	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))
cost-diff	0	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
cost-diff	0	(*.f64 (expm1.f64 z) 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))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	530
0	86	530
1	153	530
2	353	488
3	886	488
4	2308	488
5	6221	488
0	8286	440

Stop Event

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

Calls

Call 1

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

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

localize286.0ms (1.5%)

Memory

4.7MiB live, 483.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(+.f64 (/.f64 #s(literal 1 binary64) y) (expm1.f64 z))
accuracy	0.14453125	(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (expm1.f64 z)) y)
accuracy	3.5666141131824736	(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (expm1.f64 z)) y))) t)
accuracy	38.63785112081323	(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (expm1.f64 z)) y)))
accuracy	0.03515625	(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64))
accuracy	3.5666141131824736	(/.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	15.351169253838359	#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	38.63785112081323	(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	3.5666141131824736	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) z) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t)
accuracy	5.010645041999474	(fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) z) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64))) z y)
accuracy	11.265801924287441	(fma.f64 (.f64 #s(literal 1/6 binary64) z) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)))
accuracy	25.43382194304835	#s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) z) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z))
accuracy	0	(/.f64 y t)
accuracy	0.00390625	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
accuracy	7.63890192207626	(*.f64 (/.f64 y t) z)
accuracy	25.094380621541823	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))
accuracy	0.00390625	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
accuracy	0.0078125	(*.f64 (expm1.f64 z) y)
accuracy	3.5666141131824736	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)
accuracy	11.011275783011076	#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))

Samples

213.0ms	202×	1	valid
18.0ms	45×	0	valid
9.0ms	8×	2	valid
1.0ms	1×	5	exit

Compiler

Compiled 768 to 87 computations (88.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 199.0ms

ival-log: 69.0ms (34.7% of total)

ival-mult: 35.0ms (17.6% of total)

ival-sub: 23.0ms (11.6% of total)

ival-add: 21.0ms (10.6% of total)

adjust: 18.0ms (9% of total)

ival-exp: 16.0ms (8% of total)

ival-div: 9.0ms (4.5% of total)

const: 5.0ms (2.5% of total)

ival-expm1: 2.0ms (1% of total)

exact: 1.0ms (0.5% of total)

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

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

series206.0ms (1.1%)

Memory

-14.5MiB live, 211.3MiB allocated

Counts

24 → 756

Calls

Call 1

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

Outputs
#s(alt (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) (taylor 0 t) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (expm1.f64 z) y)) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) (taylor 0 t) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (expm1.f64 z) y)) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) (taylor 0 t) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (expm1.f64 z) y)) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) (taylor 0 t) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (expm1.f64 z) y)) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) #<representation binary64>) () ())) ())
#s(alt (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor 0 t) (#s(alt (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (expm1.f64 z) y)) t) (patch (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (*.f64 (expm1.f64 z) y)) t) #<representation binary64>) () ())) ())
#s(alt (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor 0 t) (#s(alt (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (expm1.f64 z) y)) t) (patch (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (*.f64 (expm1.f64 z) y)) t) #<representation binary64>) () ())) ())
#s(alt (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor 0 t) (#s(alt (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (expm1.f64 z) y)) t) (patch (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (*.f64 (expm1.f64 z) y)) t) #<representation binary64>) () ())) ())
#s(alt (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor 0 t) (#s(alt (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (expm1.f64 z) y)) t) (patch (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (*.f64 (expm1.f64 z) y)) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) (taylor 0 t) (#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 y t) z))) (patch (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 (/.f64 y t) z))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) z) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) z) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) z) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) z) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.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)) (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 (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 z y) y) z #s(literal 1 binary64)))) t)) (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 (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 z y) y) z #s(literal 1 binary64)))) t)) (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 (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 z y) y) z #s(literal 1 binary64)))) t)) (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 x (taylor -inf x) (#s(alt (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (expm1.f64 z)) y))) t)) (patch (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (expm1.f64 z)) y))) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (expm1.f64 z)) y))) t)) (patch (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (expm1.f64 z)) y))) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (expm1.f64 z)) y))) t)) (patch (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (expm1.f64 z)) y))) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (expm1.f64 z)) y))) t)) (patch (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (expm1.f64 z)) y))) t)) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
30.0ms	t	@	-inf	((- 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 t) z) (/ y t) (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (- 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))) (* (+ (/ 1 y) (- (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)))) (log (+ (- 1 y) (* y (exp z)))) (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (+ (* (+ (* 1/2 (* z y)) y) z) 1) (+ (/ 1 y) (- (exp z) 1)))
22.0ms	z	@	inf	((- 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 t) z) (/ y t) (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (- 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))) (* (+ (/ 1 y) (- (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)))) (log (+ (- 1 y) (* y (exp z)))) (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (+ (* (+ (* 1/2 (* z y)) y) z) 1) (+ (/ 1 y) (- (exp z) 1)))
20.0ms	z	@	0	((- 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 t) z) (/ y t) (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (- 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))) (* (+ (/ 1 y) (- (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)))) (log (+ (- 1 y) (* y (exp z)))) (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (+ (* (+ (* 1/2 (* z y)) y) z) 1) (+ (/ 1 y) (- (exp z) 1)))
18.0ms	y	@	0	((- 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 t) z) (/ y t) (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (- 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))) (* (+ (/ 1 y) (- (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)))) (log (+ (- 1 y) (* y (exp z)))) (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (+ (* (+ (* 1/2 (* z y)) y) z) 1) (+ (/ 1 y) (- (exp z) 1)))
11.0ms	t	@	0	((- 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 t) z) (/ y t) (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (- 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))) (* (+ (/ 1 y) (- (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)))) (log (+ (- 1 y) (* y (exp z)))) (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (+ (* (+ (* 1/2 (* z y)) y) z) 1) (+ (/ 1 y) (- (exp z) 1)))

simplify208.0ms (1.1%)

Memory

-3.3MiB live, 318.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	514	12456
1	1632	11925
2	5213	11522
0	8263	9139

Stop Event

1×	iter limit
1×	node limit

Counts

756 → 725

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

Outputs
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
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(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/ (* y z) t)
(*.f64 (/.f64 y t) z)
(/ (* y z) t)
(*.f64 (/.f64 y t) z)
(/ (* y z) t)
(*.f64 (/.f64 y t) z)
(/ (* y z) t)
(*.f64 (/.f64 y t) z)
(/ y t)
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(/ y t)
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(/.f64 y t)
(/ y t)
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(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
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(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
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(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
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(/ (log (- (+ 1 (* y (exp z))) y)) t)
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(/ (log (- (+ 1 (* y (exp z))) y)) t)
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(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
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(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
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(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
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(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
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(/ (log (- (+ 1 (* y (exp z))) y)) t)
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(/ (log (- (+ 1 (* y (exp z))) y)) t)
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(/ (log (- (+ 1 (* y (exp z))) y)) t)
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x
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(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/ (* y z) t)
(*.f64 (/.f64 y t) z)
(/ (* y z) t)
(*.f64 (/.f64 y t) z)
(/ (* y z) t)
(*.f64 (/.f64 y t) z)
(/ (* y z) t)
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(/ y t)
(/.f64 y t)
(/ y t)
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x
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
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(/ (log (- (+ 1 (* y (exp z))) y)) t)
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(/ (log (- (+ 1 (* y (exp z))) y)) t)
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(/ (log (- (+ 1 (* y (exp z))) y)) t)
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(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
x
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(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
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(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
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x
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(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
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(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
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(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
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x
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
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(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
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(/ (log (- (+ 1 (* y (exp z))) y)) t)
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(/ (* y z) t)
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x
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x
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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))))
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(/ (* y z) t)
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rewrite521.0ms (2.7%)

Memory

-16.3MiB live, 412.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	421
0	86	421
1	364	421
2	3158	413
0	9258	394

Stop Event

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

Counts

24 → 460

Calls

Call 1

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

Outputs
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eval197.0ms (1%)

Memory: 33.5MiB live, 372.5MiB allocated
Compiler: Compiled 31 404 to 3 214 computations (89.8% saved)

prune56.0ms (0.3%)

Memory

3.1MiB live, 127.4MiB allocated

Pruning

27 alts after pruning (25 fresh and 2 done)

	Pruned	Kept	Total
New	1 167	18	1 185
Fresh	5	7	12
Picked	3	2	5
Done	0	0	0
Total	1 175	27	1 202

Accuracy

100.0%

Counts

1 202 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.6%	(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 y (expm1.f64 z))) t) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 y (expm1.f64 z))) t) x) (.f64 x x)))
▶	84.1%	(-.f64 x (/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) #s(literal -1 binary64))))
▶	60.8%	(-.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))
	70.1%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
	63.8%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (+.f64 (.f64 (fma.f64 (.f64 y z) #s(literal 1/2 binary64) y) z) #s(literal 1 binary64)))) t))
	30.0%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))
	20.3%	(-.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))
	10.5%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* 1/2 (* z y)) y) z) 1) (.f64 (.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)))) t))
	73.5%	(-.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))
▶	62.5%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t))
✓	90.0%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
	68.4%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y)) z)) t))
	65.9%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (.f64 (fma.f64 (.f64 z (fma.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64))) y)) z)) t))
	66.3%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (*.f64 (fma.f64 z (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) #s(literal 1 binary64)) y)) z)) t))
	43.8%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (.f64 (.f64 (.f64 z z) #s(literal 1/6 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y))) z)) t))
	76.9%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
	66.9%	(-.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))
	69.3%	(-.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))
	63.7%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 y z) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))))))
	73.8%	(-.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))))
	75.6%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y))))
	76.8%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 y z)))))
	62.3%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) t) z (/.f64 y t)) z)))
✓	74.8%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
▶	76.2%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t))))
▶	76.2%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y (.f64 (pow.f64 t #s(literal -1 binary64)) z))))
	28.5%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))

Compiler

Compiled 809 to 667 computations (17.6% saved)

simplify142.0ms (0.7%)

Memory

-55.9MiB live, 130.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))
cost-diff	0	(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64))))
cost-diff	0	(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t)
cost-diff	0	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t))
cost-diff	0	(.f64 y (.f64 (pow.f64 t #s(literal -1 binary64)) z))
cost-diff	0	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y (.f64 (pow.f64 t #s(literal -1 binary64)) z)))
cost-diff	0	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y (.f64 (pow.f64 t #s(literal -1 binary64)) z))))
cost-diff	6080	(*.f64 (pow.f64 t #s(literal -1 binary64)) z)
cost-diff	0	(.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)
cost-diff	0	#s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z))
cost-diff	0	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t)
cost-diff	0	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t))
cost-diff	0	(/.f64 z t)
cost-diff	0	(*.f64 y (/.f64 z t))
cost-diff	0	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))
cost-diff	0	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t))))
cost-diff	0	(pow.f64 t #s(literal -1 binary64))
cost-diff	0	(-.f64 x (/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) #s(literal -1 binary64))))
cost-diff	192	(fma.f64 (exp.f64 z) y (neg.f64 y))
cost-diff	12928	(/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) #s(literal -1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	406
0	80	398
1	137	384
2	275	380
3	522	376
4	1242	376
5	2004	376
6	2835	376
7	4956	376
8	7697	376
0	8187	340

Stop Event

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

Calls

Call 1

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

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

localize263.0ms (1.4%)

Memory

30.0MiB live, 384.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.09375	(fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))
accuracy	3.5705203631824736	(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t)
accuracy	16.715075240061907	#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))
accuracy	38.64175737081323	(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64))))
accuracy	0.00390625	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y (.f64 (pow.f64 t #s(literal -1 binary64)) z))))
accuracy	0.2265625	(*.f64 (pow.f64 t #s(literal -1 binary64)) z)
accuracy	6.156356597081031	(.f64 y (.f64 (pow.f64 t #s(literal -1 binary64)) z))
accuracy	25.322443073664687	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y (.f64 (pow.f64 t #s(literal -1 binary64)) z)))
accuracy	0.75327017071045	(.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)
accuracy	3.5705203631824736	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t)
accuracy	5.706391228587183	(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y)
accuracy	26.524372508147735	#s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z))
accuracy	0	(/.f64 z t)
accuracy	0.00390625	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t))))
accuracy	6.156356597081031	(*.f64 y (/.f64 z t))
accuracy	25.322443073664687	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))
accuracy	0.00390625	(log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))
accuracy	0.1484375	(pow.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) #s(literal -1 binary64))
accuracy	4.431008296818731	(/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) #s(literal -1 binary64)))
accuracy	29.697714287619018	(fma.f64 (exp.f64 z) y (neg.f64 y))

Samples

200.0ms	202×	1	valid
18.0ms	46×	0	valid
10.0ms	8×	2	valid

Compiler

Compiled 621 to 83 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 169.0ms

ival-log: 36.0ms (21.3% of total)

ival-mult: 26.0ms (15.4% of total)

ival-exp: 25.0ms (14.8% of total)

ival-pow: 23.0ms (13.6% of total)

adjust: 17.0ms (10.1% of total)

ival-add: 12.0ms (7.1% of total)

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

const: 7.0ms (4.1% of total)

ival-sub: 6.0ms (3.6% of total)

ival-log1p: 5.0ms (3% of total)

exact: 1.0ms (0.6% of total)

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

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

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

series151.0ms (0.8%)

Memory

0.4MiB live, 158.1MiB allocated

Counts

24 → 756

Calls

Call 1

Inputs
#s(alt (/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (exp.f64 z) y (neg.f64 y)) (patch (fma.f64 (exp.f64 z) y (neg.f64 y)) #<representation binary64>) () ())
#s(alt (-.f64 x (/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) #s(literal -1 binary64)))) (patch (-.f64 x (/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (pow.f64 t #s(literal -1 binary64)) (patch (pow.f64 t #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y (/.f64 z t)))) (patch (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 y (/.f64 z t)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y (/.f64 z t))) (patch #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 y (/.f64 z t))) #<representation binary64>) () ())
#s(alt (.f64 y (/.f64 z t)) (patch (.f64 y (/.f64 z t)) #<representation binary64>) () ())
#s(alt (/.f64 z t) (patch (/.f64 z t) #<representation binary64>) () ())
#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t) (patch (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t) #<representation binary64>) () ())
#s(alt #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) (patch #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z) (patch (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 t #s(literal -1 binary64)) z) (patch (.f64 (pow.f64 t #s(literal -1 binary64)) z) #<representation binary64>) () ())
#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y (.f64 (pow.f64 t #s(literal -1 binary64)) z)))) (patch (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y (.f64 (pow.f64 t #s(literal -1 binary64)) z)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y (.f64 (pow.f64 t #s(literal -1 binary64)) z))) (patch #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y (.f64 (pow.f64 t #s(literal -1 binary64)) z))) #<representation binary64>) () ())
#s(alt (.f64 y (.f64 (pow.f64 t #s(literal -1 binary64)) z)) (patch (.f64 y (.f64 (pow.f64 t #s(literal -1 binary64)) z)) #<representation binary64>) () ())
#s(alt (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t)) (patch (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t)) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t) (patch (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t) #<representation binary64>) () ())
#s(alt (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) (patch (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64))) (patch #s(approx (+ (- 1 y) ( y (exp z))) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) #s(literal -1 binary64)) (patch (pow.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (patch (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) (patch (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor 0 t) (#s(alt (/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor 0 t) (#s(alt (/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor 0 t) (#s(alt (/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor 0 t) (#s(alt (/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) (taylor 0 t) (#s(alt (-.f64 x (/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) #s(literal -1 binary64)))) (patch (-.f64 x (/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) (taylor 0 t) (#s(alt (-.f64 x (/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) #s(literal -1 binary64)))) (patch (-.f64 x (/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) (taylor 0 t) (#s(alt (-.f64 x (/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) #s(literal -1 binary64)))) (patch (-.f64 x (/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) (taylor 0 t) (#s(alt (-.f64 x (/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) #s(literal -1 binary64)))) (patch (-.f64 x (/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 t) (taylor 0 t) (#s(alt (pow.f64 t #s(literal -1 binary64)) (patch (pow.f64 t #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 t) (taylor 0 t) (#s(alt (pow.f64 t #s(literal -1 binary64)) (patch (pow.f64 t #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 t) (taylor 0 t) (#s(alt (pow.f64 t #s(literal -1 binary64)) (patch (pow.f64 t #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 t) (taylor 0 t) (#s(alt (pow.f64 t #s(literal -1 binary64)) (patch (pow.f64 t #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) (taylor 0 t) (#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y (/.f64 z t)))) (patch (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 y (/.f64 z t)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) (taylor 0 t) (#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y (/.f64 z t)))) (patch (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 y (/.f64 z t)))) #<representation binary64>) () ())) ())
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#s(alt x (taylor inf x) (#s(alt (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t)) (patch (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) (taylor inf x) (#s(alt (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t)) (patch (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) (taylor inf x) (#s(alt (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t)) (patch (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) (taylor inf x) (#s(alt (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t)) (patch (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x (/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) #s(literal -1 binary64)))) (patch (-.f64 x (/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) #s(literal -1 binary64)))) (patch (-.f64 x (/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) #s(literal -1 binary64)))) (patch (-.f64 x (/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) #s(literal -1 binary64)))) (patch (-.f64 x (/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y (/.f64 z t)))) (patch (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 y (/.f64 z t)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y (/.f64 z t)))) (patch (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 y (/.f64 z t)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y (/.f64 z t)))) (patch (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 y (/.f64 z t)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y (/.f64 z t)))) (patch (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 y (/.f64 z t)))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y (.f64 (pow.f64 t #s(literal -1 binary64)) z)))) (patch (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y (.f64 (pow.f64 t #s(literal -1 binary64)) z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y (.f64 (pow.f64 t #s(literal -1 binary64)) z)))) (patch (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y (.f64 (pow.f64 t #s(literal -1 binary64)) z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y (.f64 (pow.f64 t #s(literal -1 binary64)) z)))) (patch (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y (.f64 (pow.f64 t #s(literal -1 binary64)) z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y (.f64 (pow.f64 t #s(literal -1 binary64)) z)))) (patch (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y (.f64 (pow.f64 t #s(literal -1 binary64)) z)))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t)) (patch (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t)) (patch (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t)) (patch (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t)) (patch (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t)) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
32.0ms	y	@	inf	((/ (pow t -1) (pow (log (+ 1 (+ (* (exp z) y) (neg y)))) -1)) (+ (* (exp z) y) (neg y)) (- x (/ (pow t -1) (pow (log (+ 1 (+ (* (exp z) y) (neg y)))) -1))) (pow t -1) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (/ z t)) (/ z t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) z) (* (pow t -1) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (* (pow t -1) 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))) (pow (log (+ 1 (+ (* (exp z) y) (neg y)))) -1) (log (+ 1 (+ (* (exp z) y) (neg y)))) (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (+ (* 1/6 z) 1/2))
20.0ms	t	@	0	((/ (pow t -1) (pow (log (+ 1 (+ (* (exp z) y) (neg y)))) -1)) (+ (* (exp z) y) (neg y)) (- x (/ (pow t -1) (pow (log (+ 1 (+ (* (exp z) y) (neg y)))) -1))) (pow t -1) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (/ z t)) (/ z t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) z) (* (pow t -1) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (* (pow t -1) 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))) (pow (log (+ 1 (+ (* (exp z) y) (neg y)))) -1) (log (+ 1 (+ (* (exp z) y) (neg y)))) (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (+ (* 1/6 z) 1/2))
14.0ms	t	@	-inf	((/ (pow t -1) (pow (log (+ 1 (+ (* (exp z) y) (neg y)))) -1)) (+ (* (exp z) y) (neg y)) (- x (/ (pow t -1) (pow (log (+ 1 (+ (* (exp z) y) (neg y)))) -1))) (pow t -1) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (/ z t)) (/ z t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) z) (* (pow t -1) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (* (pow t -1) 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))) (pow (log (+ 1 (+ (* (exp z) y) (neg y)))) -1) (log (+ 1 (+ (* (exp z) y) (neg y)))) (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (+ (* 1/6 z) 1/2))
10.0ms	t	@	inf	((/ (pow t -1) (pow (log (+ 1 (+ (* (exp z) y) (neg y)))) -1)) (+ (* (exp z) y) (neg y)) (- x (/ (pow t -1) (pow (log (+ 1 (+ (* (exp z) y) (neg y)))) -1))) (pow t -1) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (/ z t)) (/ z t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) z) (* (pow t -1) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (* (pow t -1) 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))) (pow (log (+ 1 (+ (* (exp z) y) (neg y)))) -1) (log (+ 1 (+ (* (exp z) y) (neg y)))) (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (+ (* 1/6 z) 1/2))
10.0ms	z	@	-inf	((/ (pow t -1) (pow (log (+ 1 (+ (* (exp z) y) (neg y)))) -1)) (+ (* (exp z) y) (neg y)) (- x (/ (pow t -1) (pow (log (+ 1 (+ (* (exp z) y) (neg y)))) -1))) (pow t -1) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (/ z t)) (/ z t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) z) (* (pow t -1) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (* (pow t -1) 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))) (pow (log (+ 1 (+ (* (exp z) y) (neg y)))) -1) (log (+ 1 (+ (* (exp z) y) (neg y)))) (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (+ (* 1/6 z) 1/2))

simplify318.0ms (1.6%)

Memory

6.8MiB live, 245.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	540	12218
1	1665	11647
2	5455	11297
0	8130	9102

Stop Event

1×	iter limit
1×	node limit

Counts

756 → 725

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

rewrite304.0ms (1.6%)

Memory

13.6MiB live, 242.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	335
0	80	327
1	336	305
2	2507	305
0	8986	301

Stop Event

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

Counts

24 → 522

Calls

Call 1

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

Outputs
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eval306.0ms (1.6%)

Memory: -13.8MiB live, 230.5MiB allocated
Compiler: Compiled 25 905 to 2 805 computations (89.2% saved)

prune230.0ms (1.2%)

Memory

-19.4MiB live, 141.7MiB allocated

Pruning

34 alts after pruning (30 fresh and 4 done)

	Pruned	Kept	Total
New	1 262	14	1 276
Fresh	4	16	20
Picked	3	2	5
Done	0	2	2
Total	1 269	34	1 303

Accuracy

100.0%

Counts

1 303 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.8%	(fma.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) t) x)
	62.5%	(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) (/.f64 #s(literal -1 binary64) t) x)
	31.6%	(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 y (expm1.f64 z))) t) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 y (expm1.f64 z))) t) x) (.f64 x x)))
	78.0%	(-.f64 x (/.f64 (pow.f64 t #s(literal -1 binary64)) #s(approx (pow (log (+ 1 (+ (* (exp z) y) (neg y)))) -1) (/.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 y (.f64 y y))) y) (/.f64 z y) (/.f64 #s(literal 1 binary64) y)) z))))
▶	84.1%	(-.f64 x (/.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(literal -1 binary64) (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))))))
✓	60.8%	(-.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))
▶	60.7%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (.f64 y #s(approx (+ ( 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z))) z y) z #s(literal 1 binary64)))) t))
	70.1%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
	63.8%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (+.f64 (.f64 (fma.f64 (.f64 y z) #s(literal 1/2 binary64) y) z) #s(literal 1 binary64)))) t))
	30.0%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))
	20.3%	(-.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))
	10.5%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* 1/2 (* z y)) y) z) 1) (.f64 (.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)))) t))
	73.5%	(-.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))
	69.5%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (.f64 y z) y) z)) t))
✓	90.0%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
	68.4%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y)) z)) t))
	65.9%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (.f64 (fma.f64 (.f64 z (fma.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64))) y)) z)) t))
▶	43.8%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (.f64 (.f64 (.f64 z z) #s(literal 1/6 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y))) z)) t))
▶	71.9%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)) t))
	56.9%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* (+ (* -1/2 y) 1/2) y) z) y) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z) y)) z)) t))
	56.7%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* (+ (* -1/2 y) 1/2) y) z) y) (.f64 (.f64 (*.f64 y y) z) #s(literal -1/2 binary64))) z)) t))
▶	76.9%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
	66.9%	(-.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))
	69.3%	(-.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))
	63.7%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 y z) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))))))
	43.0%	(-.f64 x (.f64 (pow.f64 t #s(literal -1/2 binary64)) (.f64 (pow.f64 t #s(literal -1/2 binary64)) (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))))))
	75.6%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y))))
	76.2%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y (/.f64 t z))))
	76.8%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 y z)))))
✓	74.8%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
✓	76.2%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t))))
	76.2%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 t z)))))
	76.2%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) t) z))))
	28.5%	#s(approx (- x (/ (pow t -1) (pow (log (+ 1 (+ (* (exp z) y) (neg y)))) -1))) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))

Compiler

Compiled 969 to 822 computations (15.2% saved)

simplify367.0ms (1.9%)

Memory

43.3MiB live, 305.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (.f64 y #s(approx (+ ( 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z))) z y) z #s(literal 1 binary64)))
cost-diff	0	(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (.f64 y #s(approx (+ ( 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z))) z y) z #s(literal 1 binary64))))
cost-diff	0	(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (.f64 y #s(approx (+ ( 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z))) z y) z #s(literal 1 binary64)))) t)
cost-diff	0	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (.f64 y #s(approx (+ ( 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z))) z y) z #s(literal 1 binary64)))) t))
cost-diff	0	(.f64 #s(approx (+ ( (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (.f64 (.f64 (.f64 z z) #s(literal 1/6 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y))) z)
cost-diff	0	#s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (.f64 (.f64 (.f64 z z) #s(literal 1/6 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y))) z))
cost-diff	0	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (.f64 (.f64 (.f64 z z) #s(literal 1/6 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y))) z)) t)
cost-diff	0	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (.f64 (.f64 (.f64 z z) #s(literal 1/6 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y))) z)) t))
cost-diff	0	(.f64 #s(approx (+ ( (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)
cost-diff	0	#s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z))
cost-diff	0	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)) t)
cost-diff	0	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)) t))
cost-diff	0	(*.f64 z y)
cost-diff	0	#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))
cost-diff	0	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)
cost-diff	0	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
cost-diff	0	(/.f64 #s(literal -1 binary64) t)
cost-diff	0	(-.f64 x (/.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(literal -1 binary64) (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))))))
cost-diff	192	(fma.f64 y (exp.f64 z) (neg.f64 y))
cost-diff	1408	(/.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(literal -1 binary64) (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	735
0	109	730
1	208	712
2	506	708
3	1399	699
4	3573	699
5	6034	699
0	8135	621

Stop Event

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

Calls

Call 1

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

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

localize459.0ms (2.4%)

Memory

24.6MiB live, 722.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	3.5705203631824736	(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (.f64 y #s(approx (+ ( 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z))) z y) z #s(literal 1 binary64)))) t)
accuracy	16.715075240061907	#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (.f64 y #s(approx (+ ( 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z))) z y) z #s(literal 1 binary64)))
accuracy	38.64175737081323	(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (.f64 y #s(approx (+ ( 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z))) z y) z #s(literal 1 binary64))))
accuracy	42.982587669687994	#s(approx (+ (* 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z))
accuracy	3.5705203631824736	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (.f64 (.f64 (.f64 z z) #s(literal 1/6 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y))) z)) t)
accuracy	13.922858892871307	(.f64 (.f64 (.f64 z z) #s(literal 1/6 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y))
accuracy	25.66808115700372	#s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (.f64 (.f64 (.f64 z z) #s(literal 1/6 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y))) z))
accuracy	36.432859574088475	#s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (.f64 (.f64 (.f64 z z) #s(literal 1/6 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y)))
accuracy	0.75327017071045	(.f64 #s(approx (+ ( (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)
accuracy	3.5705203631824736	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)) t)
accuracy	8.997449086642161	#s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y))
accuracy	26.524372508147735	#s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z))
accuracy	0	(*.f64 z y)
accuracy	0.00390625	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
accuracy	3.5705203631824736	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)
accuracy	26.19127146604799	#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))
accuracy	0.00390625	(log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y)))
accuracy	0.1484375	(/.f64 #s(literal -1 binary64) (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))))
accuracy	4.431008296818731	(/.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(literal -1 binary64) (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y)))))
accuracy	29.697714287619018	(fma.f64 y (exp.f64 z) (neg.f64 y))

Samples

374.0ms	202×	1	valid
19.0ms	46×	0	valid
13.0ms	8×	2	valid

Compiler

Compiled 814 to 108 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 276.0ms

ival-mult: 121.0ms (43.8% of total)

ival-log: 35.0ms (12.7% of total)

adjust: 30.0ms (10.9% of total)

ival-exp: 26.0ms (9.4% of total)

ival-div: 21.0ms (7.6% of total)

ival-add: 21.0ms (7.6% of total)

ival-sub: 8.0ms (2.9% of total)

const: 6.0ms (2.2% of total)

ival-log1p: 6.0ms (2.2% of total)

exact: 1.0ms (0.4% of total)

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

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

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

series143.0ms (0.7%)

Memory

-33.8MiB live, 311.1MiB allocated

Counts

26 → 780

Calls

Call 1

Inputs
#s(alt (/.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(literal -1 binary64) (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))))) (patch (/.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(literal -1 binary64) (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))))) #<representation binary64>) () ())
#s(alt (fma.f64 y (exp.f64 z) (neg.f64 y)) (patch (fma.f64 y (exp.f64 z) (neg.f64 y)) #<representation binary64>) () ())
#s(alt (-.f64 x (/.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(literal -1 binary64) (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y)))))) (patch (-.f64 x (/.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(literal -1 binary64) (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y)))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) t) (patch (/.f64 #s(literal -1 binary64) t) #<representation binary64>) () ())
#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 z y)) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (*.f64 z y)) t)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 z y)) t) (patch (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (*.f64 z y)) t) #<representation binary64>) () ())
#s(alt #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 z y)) (patch #s(approx (log (+ (- 1 y) ( y (exp z)))) (*.f64 z y)) #<representation binary64>) () ())
#s(alt (.f64 z y) (patch (.f64 z y) #<representation binary64>) () ())
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Outputs
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#s(alt (/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) (taylor 0 t) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (.f64 z y) y)) z)) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 #s(approx (+ ( (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)) t)) #<representation binary64>) () ())) ())
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#s(alt (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor 0 t) (#s(alt (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (.f64 z y) y)) z)) t) (patch (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 #s(approx (+ ( (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)) t) #<representation binary64>) () ())) ())
#s(alt (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor 0 t) (#s(alt (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (.f64 z y) y)) z)) t) (patch (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 #s(approx (+ ( (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)) t) #<representation binary64>) () ())) ())
#s(alt (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor 0 t) (#s(alt (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (.f64 z y) y)) z)) t) (patch (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 #s(approx (+ ( (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)) t) #<representation binary64>) () ())) ())
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#s(alt (* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) (taylor inf x) (#s(alt (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (.f64 y #s(approx (+ ( 1/6 z) 1/2) (.f64 #s(literal 1/6 binary64) z))) z y) z #s(literal 1 binary64)))) t)) (patch (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (fma.f64 (fma.f64 (.f64 y #s(approx (+ ( 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z))) z y) z #s(literal 1 binary64)))) t)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) (taylor inf x) (#s(alt (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (.f64 y #s(approx (+ ( 1/6 z) 1/2) (.f64 #s(literal 1/6 binary64) z))) z y) z #s(literal 1 binary64)))) t)) (patch (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (fma.f64 (fma.f64 (.f64 y #s(approx (+ ( 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z))) z y) z #s(literal 1 binary64)))) t)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x (/.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(literal -1 binary64) (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y)))))) (patch (-.f64 x (/.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(literal -1 binary64) (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(literal -1 binary64) (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y)))))) (patch (-.f64 x (/.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(literal -1 binary64) (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(literal -1 binary64) (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y)))))) (patch (-.f64 x (/.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(literal -1 binary64) (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(literal -1 binary64) (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y)))))) (patch (-.f64 x (/.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(literal -1 binary64) (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y)))))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 z y)) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (*.f64 z y)) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 z y)) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (*.f64 z y)) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 z y)) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (*.f64 z y)) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 z y)) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (*.f64 z y)) t)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (.f64 z y) y)) z)) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 #s(approx (+ ( (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (.f64 z y) y)) z)) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 #s(approx (+ ( (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (.f64 z y) y)) z)) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 #s(approx (+ ( (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (.f64 z y) y)) z)) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 #s(approx (+ ( (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)) t)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (.f64 (.f64 (.f64 z z) #s(literal 1/6 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y))) z)) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (.f64 (.f64 (.f64 z z) #s(literal 1/6 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y))) z)) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (.f64 (.f64 (.f64 z z) #s(literal 1/6 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y))) z)) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (.f64 (.f64 (.f64 z z) #s(literal 1/6 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y))) z)) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (.f64 (.f64 (.f64 z z) #s(literal 1/6 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y))) z)) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (.f64 (.f64 (.f64 z z) #s(literal 1/6 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y))) z)) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (.f64 (.f64 (.f64 z z) #s(literal 1/6 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y))) z)) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (.f64 (.f64 (.f64 z z) #s(literal 1/6 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y))) z)) t)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (.f64 y #s(approx (+ ( 1/6 z) 1/2) (.f64 #s(literal 1/6 binary64) z))) z y) z #s(literal 1 binary64)))) t)) (patch (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (fma.f64 (fma.f64 (.f64 y #s(approx (+ ( 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z))) z y) z #s(literal 1 binary64)))) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (.f64 y #s(approx (+ ( 1/6 z) 1/2) (.f64 #s(literal 1/6 binary64) z))) z y) z #s(literal 1 binary64)))) t)) (patch (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (fma.f64 (fma.f64 (.f64 y #s(approx (+ ( 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z))) z y) z #s(literal 1 binary64)))) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (.f64 y #s(approx (+ ( 1/6 z) 1/2) (.f64 #s(literal 1/6 binary64) z))) z y) z #s(literal 1 binary64)))) t)) (patch (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (fma.f64 (fma.f64 (.f64 y #s(approx (+ ( 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z))) z y) z #s(literal 1 binary64)))) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (.f64 y #s(approx (+ ( 1/6 z) 1/2) (.f64 #s(literal 1/6 binary64) z))) z y) z #s(literal 1 binary64)))) t)) (patch (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (fma.f64 (fma.f64 (.f64 y #s(approx (+ ( 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z))) z y) z #s(literal 1 binary64)))) t)) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
21.0ms	z	@	0	((/ (/ -1 t) (/ -1 (log (+ 1 (+ (* y (exp z)) (neg y)))))) (+ (* y (exp z)) (neg y)) (- x (/ (/ -1 t) (/ -1 (log (+ 1 (+ (* y (exp z)) (neg y))))))) (/ -1 t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* z y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) 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))) (/ -1 (log (+ 1 (+ (* y (exp z)) (neg y))))) (log (+ 1 (+ (* y (exp z)) (neg y)))) (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (* (* (* z z) 1/6) (+ (* (+ (* 2 y) -3) (* y y)) y)) (+ (* 1/6 z) 1/2))
12.0ms	z	@	-inf	((/ (/ -1 t) (/ -1 (log (+ 1 (+ (* y (exp z)) (neg y)))))) (+ (* y (exp z)) (neg y)) (- x (/ (/ -1 t) (/ -1 (log (+ 1 (+ (* y (exp z)) (neg y))))))) (/ -1 t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* z y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) 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))) (/ -1 (log (+ 1 (+ (* y (exp z)) (neg y))))) (log (+ 1 (+ (* y (exp z)) (neg y)))) (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (* (* (* z z) 1/6) (+ (* (+ (* 2 y) -3) (* y y)) y)) (+ (* 1/6 z) 1/2))
11.0ms	t	@	inf	((/ (/ -1 t) (/ -1 (log (+ 1 (+ (* y (exp z)) (neg y)))))) (+ (* y (exp z)) (neg y)) (- x (/ (/ -1 t) (/ -1 (log (+ 1 (+ (* y (exp z)) (neg y))))))) (/ -1 t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* z y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) 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))) (/ -1 (log (+ 1 (+ (* y (exp z)) (neg y))))) (log (+ 1 (+ (* y (exp z)) (neg y)))) (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (* (* (* z z) 1/6) (+ (* (+ (* 2 y) -3) (* y y)) y)) (+ (* 1/6 z) 1/2))
10.0ms	t	@	0	((/ (/ -1 t) (/ -1 (log (+ 1 (+ (* y (exp z)) (neg y)))))) (+ (* y (exp z)) (neg y)) (- x (/ (/ -1 t) (/ -1 (log (+ 1 (+ (* y (exp z)) (neg y))))))) (/ -1 t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* z y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) 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))) (/ -1 (log (+ 1 (+ (* y (exp z)) (neg y))))) (log (+ 1 (+ (* y (exp z)) (neg y)))) (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (* (* (* z z) 1/6) (+ (* (+ (* 2 y) -3) (* y y)) y)) (+ (* 1/6 z) 1/2))
10.0ms	t	@	-inf	((/ (/ -1 t) (/ -1 (log (+ 1 (+ (* y (exp z)) (neg y)))))) (+ (* y (exp z)) (neg y)) (- x (/ (/ -1 t) (/ -1 (log (+ 1 (+ (* y (exp z)) (neg y))))))) (/ -1 t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* z y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) 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))) (/ -1 (log (+ 1 (+ (* y (exp z)) (neg y))))) (log (+ 1 (+ (* y (exp z)) (neg y)))) (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (* (* (* z z) 1/6) (+ (* (+ (* 2 y) -3) (* y y)) y)) (+ (* 1/6 z) 1/2))

simplify224.0ms (1.2%)

Memory

2.5MiB live, 359.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	713	14315
1	2324	13619
0	8033	11156

Stop Event

1×	iter limit
1×	node limit

Counts

780 → 748

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

rewrite244.0ms (1.3%)

Memory

-9.6MiB live, 312.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	626
0	109	621
1	479	599
2	3979	599
0	11507	569

Stop Event

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

Counts

26 → 348

Calls

Call 1

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

Outputs
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eval142.0ms (0.7%)

Memory: 11.7MiB live, 317.3MiB allocated
Compiler: Compiled 24 332 to 2 493 computations (89.8% saved)

prune145.0ms (0.8%)

Memory

13.6MiB live, 176.6MiB allocated

Pruning

40 alts after pruning (33 fresh and 7 done)

	Pruned	Kept	Total
New	1 108	14	1 122
Fresh	6	19	25
Picked	2	3	5
Done	0	4	4
Total	1 116	40	1 156

Accuracy

100.0%

Counts

1 156 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.7%	(fma.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) (.f64 #s(literal 1/6 binary64) z)) (.f64 z y) y) z #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) t) x)
	71.9%	(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)) (/.f64 #s(literal -1 binary64) t) x)
	76.9%	(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) (/.f64 #s(literal -1 binary64) t) x)
	70.9%	(-.f64 x (/.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(literal -1 binary64) (log1p.f64 #s(approx (+ (* y (exp z)) (neg y)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 z y) (.f64 #s(literal 1/6 binary64) y)) z (.f64 #s(literal 1/2 binary64) y)) z y) z))))))
	80.9%	(-.f64 x (/.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(literal -1 binary64) (log1p.f64 #s(approx (+ (* y (exp z)) (neg y)) (*.f64 z y))))))
	76.4%	(-.f64 x (/.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(literal -1 binary64) #s(approx (log (+ 1 (+ (* y (exp z)) (neg y)))) (*.f64 z y)))))
	71.9%	(-.f64 x (/.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (/ -1 (log (+ 1 (+ (* y (exp z)) (neg y))))) (/.f64 (fma.f64 z (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) (.f64 y y)) (/.f64 #s(literal -1 binary64) y)) z))))
	93.2%	(-.f64 x (/.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (/ -1 (log (+ 1 (+ (* y (exp z)) (neg y))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 #s(literal -1 binary64) (expm1.f64 z))) y))))
✓	60.8%	(-.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))
✓	60.7%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (.f64 y #s(approx (+ ( 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z))) z y) z #s(literal 1 binary64)))) t))
	70.1%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
	63.8%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (+.f64 (.f64 (fma.f64 (.f64 y z) #s(literal 1/2 binary64) y) z) #s(literal 1 binary64)))) t))
	30.0%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))
	20.3%	(-.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))
	10.5%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* 1/2 (* z y)) y) z) 1) (.f64 (.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)))) t))
	73.5%	(-.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))
	69.5%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (.f64 y z) y) z)) t))
✓	90.0%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
	68.4%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y)) z)) t))
	65.9%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (.f64 (fma.f64 (.f64 z (fma.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64))) y)) z)) t))
	44.2%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64)) y) z) (.f64 #s(literal 1/6 binary64) z))) z)) t))
	55.3%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) #s(approx (* (* (* z z) 1/6) (+ (* (+ (* 2 y) -3) (* y y)) y)) (.f64 (.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64))) y))) z)) t))
	56.7%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) #s(approx (* (* (* z z) 1/6) (+ (* (+ (* 2 y) -3) (* y y)) y)) (.f64 (.f64 (*.f64 z z) y) #s(literal 1/6 binary64)))) z)) t))
✓	71.9%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)) t))
	56.7%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* (+ (* -1/2 y) 1/2) y) z) y) (.f64 (.f64 (*.f64 y y) z) #s(literal -1/2 binary64))) z)) t))
✓	76.9%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
	66.9%	(-.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))
	69.3%	(-.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))
	63.7%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 y z) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))))))
	76.8%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))))
	84.1%	(-.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) (neg.f64 t))))
	43.0%	(-.f64 x (.f64 (pow.f64 t #s(literal -1/2 binary64)) (.f64 (pow.f64 t #s(literal -1/2 binary64)) (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))))))
	75.6%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y))))
	76.2%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y (/.f64 t z))))
✓	74.8%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
✓	76.2%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t))))
	76.2%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 t z)))))
	76.2%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) t) z))))
	28.5%	#s(approx (- x (/ (pow t -1) (pow (log (+ 1 (+ (* (exp z) y) (neg y)))) -1))) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
	84.2%	#s(approx (- x (/ (/ -1 t) (/ -1 (log (+ 1 (+ (* y (exp z)) (neg y))))))) (/.f64 (-.f64 (.f64 x t) (log1p.f64 (.f64 (expm1.f64 z) y))) t))

Compiler

Compiled 1 597 to 895 computations (44% saved)

regimes315.0ms (1.6%)

Memory

-7.5MiB live, 265.3MiB allocated

Counts

64 → 2

Calls

Call 1

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

Outputs

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

(-.f64 x (/.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(literal -1 binary64) (log1p.f64 #s(approx (+ (* y (exp z)) (neg y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))))))

Calls

9 calls:

68.0ms	y
47.0ms	x
38.0ms	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
37.0ms	(exp.f64 z)
34.0ms	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)

Results

Accuracy	Segments	Branch
97.7%	3	`x`
98.1%	3	`y`
98.8%	2	`z`
97.4%	3	`t`
95.3%	2	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
99.1%	4	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
99.7%	3	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
99.7%	3	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
98.8%	2	`(exp.f64 z)`

Compiler

Compiled 47 to 63 computations (-34% saved)

regimes82.0ms (0.4%)

Memory

14.0MiB live, 89.9MiB allocated

Counts

57 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

28.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
27.0ms	z
12.0ms	(exp.f64 z)
12.0ms	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))

Results

Accuracy	Segments	Branch
99.6%	3	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
99.6%	3	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
96.5%	2	`z`
96.5%	2	`(exp.f64 z)`

Compiler

Compiled 20 to 28 computations (-40% saved)

regimes76.0ms (0.4%)

Memory

-24.4MiB live, 59.8MiB allocated

Counts

53 → 2

Calls

Call 1

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

Outputs

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

(-.f64 x (/.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(literal -1 binary64) (log1p.f64 #s(approx (+ (* y (exp z)) (neg y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))))))

Calls

4 calls:

27.0ms	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
14.0ms	z
12.0ms	(exp.f64 z)
12.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))

Results

Accuracy	Segments	Branch
96.5%	2	`z`
96.5%	2	`(exp.f64 z)`
96.2%	2	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
96.2%	2	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`

Compiler

Compiled 20 to 28 computations (-40% saved)

regimes90.0ms (0.5%)

Memory

4.3MiB live, 80.8MiB allocated

Counts

49 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

36.0ms	y
16.0ms	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
13.0ms	z
11.0ms	(exp.f64 z)
11.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))

Results

Accuracy	Segments	Branch
96.2%	2	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
96.2%	2	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
93.2%	1	`y`
96.0%	2	`z`
96.0%	2	`(exp.f64 z)`

Compiler

Compiled 21 to 32 computations (-52.4% saved)

regimes137.0ms (0.7%)

Memory

4.6MiB live, 106.6MiB allocated

Counts

48 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

8 calls:

45.0ms	(exp.f64 z)
19.0ms	x
13.0ms	z
13.0ms	t
13.0ms	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))

Results

Accuracy	Segments	Branch
93.4%	2	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
90.0%	1	`t`
94.4%	2	`(exp.f64 z)`
93.5%	2	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
94.5%	2	`z`
90.0%	1	`x`
96.4%	3	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
96.4%	3	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`

Compiler

Compiled 46 to 59 computations (-28.3% saved)

regimes153.0ms (0.8%)

Memory

-13.2MiB live, 103.4MiB allocated

Counts

46 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

71.0ms	z
22.0ms	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
13.0ms	y
12.0ms	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
12.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))

Results

Accuracy	Segments	Branch
90.0%	1	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
90.0%	1	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
90.0%	1	`(exp.f64 z)`
90.0%	1	`z`
92.0%	2	`y`
91.9%	2	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
91.9%	2	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`

Compiler

Compiled 45 to 55 computations (-22.2% saved)

regimes13.0ms (0.1%)

Memory

21.4MiB live, 21.4MiB allocated

Counts

41 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
92.0%	2	`y`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes23.0ms (0.1%)

Memory

-21.2MiB live, 16.7MiB allocated

Counts

40 → 2

Calls

Call 1

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

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

Calls

1 calls:

22.0ms

Results

Accuracy	Segments	Branch
92.0%	2	`y`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes29.0ms (0.2%)

Memory

24.1MiB live, 24.1MiB allocated

Counts

37 → 2

Calls

Call 1

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

Calls

3 calls:

10.0ms	y
8.0ms	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
8.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))

Results

Accuracy	Segments	Branch
91.9%	2	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
91.9%	2	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
90.0%	1	`y`

Compiler

Compiled 18 to 23 computations (-27.8% saved)

regimes129.0ms (0.7%)

Memory

-1.2MiB live, 191.6MiB allocated

Counts

36 → 2

Calls

Call 1

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

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

Calls

9 calls:

42.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
13.0ms	t
12.0ms	x
11.0ms	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
11.0ms	(exp.f64 z)

Results

Accuracy	Segments	Branch
89.7%	1	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
89.7%	1	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
89.7%	1	`x`
89.7%	1	`z`
89.7%	1	`(exp.f64 z)`
89.7%	1	`y`
89.7%	1	`t`
91.6%	2	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
91.6%	2	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`

Compiler

Compiled 47 to 63 computations (-34% saved)

regimes92.0ms (0.5%)

Memory

-2.7MiB live, 191.1MiB allocated

Counts

35 → 2

Calls

Call 1

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

(-.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))

Calls

9 calls:

13.0ms	t
12.0ms	z
11.0ms	x
10.0ms	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
10.0ms	y

Results

Accuracy	Segments	Branch
85.4%	2	`z`
80.5%	3	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
82.6%	4	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
85.4%	2	`(exp.f64 z)`
78.7%	2	`x`
84.2%	3	`y`
82.1%	3	`t`
83.9%	3	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
83.9%	3	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`

Compiler

Compiled 47 to 63 computations (-34% saved)

regimes38.0ms (0.2%)

Memory

-13.4MiB live, 32.5MiB allocated

Counts

33 → 2

Calls

Call 1

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

Outputs

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

(-.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))

Calls

2 calls:

29.0ms	z
7.0ms	(exp.f64 z)

Results

Accuracy	Segments	Branch
83.0%	2	`z`
83.0%	2	`(exp.f64 z)`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes91.0ms (0.5%)

Memory

3.4MiB live, 157.7MiB allocated

Counts

31 → 2

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

22.0ms	y
15.0ms	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
11.0ms	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
9.0ms	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
9.0ms	z

Results

Accuracy	Segments	Branch
76.9%	1	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
76.9%	1	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
76.9%	1	`t`
78.7%	2	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
78.7%	2	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
76.9%	1	`y`
78.8%	2	`(exp.f64 z)`
78.8%	2	`z`

Compiler

Compiled 46 to 59 computations (-28.3% saved)

regimes15.0ms (0.1%)

Memory

1.0MiB live, 40.1MiB allocated

Counts

24 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

8.0ms	z
6.0ms	(exp.f64 z)

Results

Accuracy	Segments	Branch
78.8%	2	`z`
78.8%	2	`(exp.f64 z)`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes86.0ms (0.4%)

Memory

12.3MiB live, 51.6MiB allocated

Counts

16 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

76.0ms	x
5.0ms	z
4.0ms	(exp.f64 z)

Results

Accuracy	Segments	Branch
76.9%	1	`x`
78.7%	2	`z`
78.7%	2	`(exp.f64 z)`

Compiler

Compiled 4 to 13 computations (-225% saved)

regimes27.0ms (0.1%)

Memory

1.4MiB live, 41.0MiB allocated

Counts

10 → 2

Calls

Call 1

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

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

Calls

4 calls:

17.0ms	z
3.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
3.0ms	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
3.0ms	(exp.f64 z)

Results

Accuracy	Segments	Branch
78.7%	2	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
78.7%	2	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
76.9%	1	`z`
76.9%	1	`(exp.f64 z)`

Compiler

Compiled 20 to 28 computations (-40% saved)

regimes26.0ms (0.1%)

Memory

-15.4MiB live, 29.3MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

9 calls:

14.0ms	x
2.0ms	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
2.0ms	y
2.0ms	z
2.0ms	t

Results

Accuracy	Segments	Branch
78.1%	2	`z`
76.2%	1	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
76.2%	1	`x`
76.2%	1	`y`
76.2%	1	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
76.2%	1	`t`
78.1%	2	`(exp.f64 z)`
78.1%	2	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
78.1%	2	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`

Compiler

Compiled 47 to 63 computations (-34% saved)

regimes11.0ms (0.1%)

Memory

27.0MiB live, 27.0MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

9 calls:

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

Results

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

Compiler

Compiled 47 to 63 computations (-34% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.919932805174325e-244	0.45931031742425243

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000000067515	1.0000059932534708
0.0ms	0.0	0.9999999988649944

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.919932805174325e-244	0.45931031742425243

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch1.0ms (0%)

Memory

-38.5MiB live, 1.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9999999988649944

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.4214264990285941e+136	1.756585860948671e+137
0.0ms	0.0	0.9999999988649944

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch139.0ms (0.7%)

Memory

21.8MiB live, 100.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
134.0ms	2.366614132083419e+124	4.512931332944971e+134

Samples

108.0ms	136×	1	valid
9.0ms	122×	0	invalid
5.0ms	16×	1	invalid
2.0ms	24×	0	valid

Compiler

Compiled 266 to 269 computations (-1.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 113.0ms

ival-exp: 78.0ms (69.2% of total)

ival-log: 15.0ms (13.3% of total)

adjust: 5.0ms (4.4% of total)

ival-sub: 5.0ms (4.4% of total)

ival-div: 3.0ms (2.7% of total)

ival-mult: 3.0ms (2.7% of total)

ival-add: 2.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.366614132083419e+124	4.512931332944971e+134

Compiler

Compiled 256 to 259 computations (-1.2% saved)

bsearch1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.366614132083419e+124	4.512931332944971e+134

Compiler

Compiled 206 to 229 computations (-11.2% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.4214264990285941e+136	1.756585860948671e+137

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.4214264990285941e+136	1.756585860948671e+137

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999994703350729	0.9999999817723974

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch59.0ms (0.3%)

Memory

4.5MiB live, 44.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
57.0ms	-11959942674.140493	-559.8963566311996

Samples

37.0ms	42×	1	valid
11.0ms	102×	0	valid
2.0ms	21×	0	invalid

Compiler

Compiled 430 to 352 computations (18.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-log: 34.0ms (77.6% of total)

ival-exp: 3.0ms (6.8% of total)

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

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

adjust: 1.0ms (2.3% of total)

ival-add: 1.0ms (2.3% of total)

ival-mult: 1.0ms (2.3% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.919932805174325e-244	0.45931031742425243

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.919932805174325e-244	0.45931031742425243

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.919932805174325e-244	0.45931031742425243

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9999999988649944

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch52.0ms (0.3%)

Memory

-16.0MiB live, 23.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
50.0ms	-2.2581899977640253e-51	-3.2296588315572437e-56

Samples

33.0ms	80×	0	valid
10.0ms	32×	1	valid
2.0ms	18×	0	invalid

Compiler

Compiled 128 to 145 computations (-13.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-add: 25.0ms (61.7% of total)

ival-log: 6.0ms (14.8% of total)

ival-exp: 4.0ms (9.9% of total)

ival-sub: 2.0ms (4.9% of total)

adjust: 1.0ms (2.5% of total)

ival-div: 1.0ms (2.5% of total)

ival-mult: 1.0ms (2.5% of total)

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

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

exact: 0.0ms (0% of total)

simplify166.0ms (0.9%)

Memory

-2.2MiB live, 74.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	188	1000
1	253	1000
2	367	999
3	473	999
4	574	999
5	676	999
6	884	999
7	1125	999
8	1282	999
9	1438	999
10	1622	999
11	1821	999
12	2026	999
13	2171	999
14	2207	999

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (exp.f64 z) #s(literal 7687697232696013/7687697232696013035490465480201479025983241823794691621558168976140934720122093268938148043346259333988919315645138393722043075242293497100043735968399262883880680368733084239192707430286484902215659282347932289182034267181757047930126964620533348010060414976 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) (neg.f64 t)))) (-.f64 x (/.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(literal -1 binary64) (log1p.f64 #s(approx (+ ( y (exp z)) (neg y)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 z y) (.f64 #s(literal 1/6 binary64) y)) z (.f64 #s(literal 1/2 binary64) y)) z y) z)))))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(literal -1 binary64) (log1p.f64 #s(approx (+ ( y (exp z)) (neg y)) (.f64 z y)))))) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 4503622145368633/4503599627370496 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (*.f64 (expm1.f64 z) y))) t))))
(if (<=.f64 (exp.f64 z) #s(literal 7687697232696013/7687697232696013035490465480201479025983241823794691621558168976140934720122093268938148043346259333988919315645138393722043075242293497100043735968399262883880680368733084239192707430286484902215659282347932289182034267181757047930126964620533348010060414976 binary64)) (-.f64 x (/.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (/ -1 (log (+ 1 (+ (* y (exp z)) (neg y))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 #s(literal -1 binary64) (expm1.f64 z))) y)))) (-.f64 x (/.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(literal -1 binary64) (log1p.f64 #s(approx (+ (* y (exp z)) (neg y)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 z y) (.f64 #s(literal 1/6 binary64) y)) z (.f64 #s(literal 1/2 binary64) y)) z y) z)))))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(literal -1 binary64) (log1p.f64 #s(approx (+ ( y (exp z)) (neg y)) (.f64 z y)))))) (-.f64 x (/.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (/ -1 (log (+ 1 (+ ( y (exp z)) (neg y))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 #s(literal -1 binary64) (expm1.f64 z))) y)))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(literal -1 binary64) (log1p.f64 #s(approx (+ ( y (exp z)) (neg y)) (.f64 z y)))))) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 20000000000000001173281225401480239510924085727794608776187427091019642704107631219009550715922787179608060751714014998753604207233728512 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) #s(literal 1 binary64))) t))))
(if (<=.f64 y #s(literal 430000000000000004567547321436556432237514467123489094050383339823134215493039218883524364257610367324410479920748670985977114673545216 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (+.f64 (.f64 (fma.f64 (.f64 y z) #s(literal 1/2 binary64) y) z) #s(literal 1 binary64)))) t)))
(if (<=.f64 y #s(literal 430000000000000004567547321436556432237514467123489094050383339823134215493039218883524364257610367324410479920748670985977114673545216 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 430000000000000004567547321436556432237514467123489094050383339823134215493039218883524364257610367324410479920748670985977114673545216 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 20000000000000001173281225401480239510924085727794608776187427091019642704107631219009550715922787179608060751714014998753604207233728512 binary64)) (-.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))) #s(literal 1 binary64))) t)))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 20000000000000001173281225401480239510924085727794608776187427091019642704107631219009550715922787179608060751714014998753604207233728512 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) #s(literal 1 binary64))) t)))
(if (<=.f64 (exp.f64 z) #s(literal 9007194751141365/9007199254740992 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) (-.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)))
(if (<=.f64 z #s(literal -760 binary64)) (-.f64 x (/.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (/ -1 (log (+ 1 (+ (* y (exp z)) (neg y))))) (/.f64 (fma.f64 z (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) (.f64 y y)) (/.f64 #s(literal -1 binary64) y)) z)))) (-.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)))
(if (<=.f64 (exp.f64 z) #s(literal 7687697232696013/7687697232696013035490465480201479025983241823794691621558168976140934720122093268938148043346259333988919315645138393722043075242293497100043735968399262883880680368733084239192707430286484902215659282347932289182034267181757047930126964620533348010060414976 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 y t) z))) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) #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)))
(if (<=.f64 (exp.f64 z) #s(literal 7687697232696013/7687697232696013035490465480201479025983241823794691621558168976140934720122093268938148043346259333988919315645138393722043075242293497100043735968399262883880680368733084239192707430286484902215659282347932289182034267181757047930126964620533348010060414976 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 y t) z))) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 #s(approx (+ ( (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y)) z)) t)))
(if (<=.f64 (exp.f64 z) #s(literal 7687697232696013/7687697232696013035490465480201479025983241823794691621558168976140934720122093268938148043346259333988919315645138393722043075242293497100043735968399262883880680368733084239192707430286484902215659282347932289182034267181757047930126964620533348010060414976 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 y t) z))) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) t)))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 z y)) t)) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 (/.f64 y t) z))))
(if (<=.f64 z #s(literal -5054990000090745/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) (-.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 y (/.f64 z t)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t))))

Outputs
(if (<=.f64 (exp.f64 z) #s(literal 7687697232696013/7687697232696013035490465480201479025983241823794691621558168976140934720122093268938148043346259333988919315645138393722043075242293497100043735968399262883880680368733084239192707430286484902215659282347932289182034267181757047930126964620533348010060414976 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) (neg.f64 t)))) (-.f64 x (/.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(literal -1 binary64) (log1p.f64 #s(approx (+ ( y (exp z)) (neg y)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 z y) (.f64 #s(literal 1/6 binary64) y)) z (.f64 #s(literal 1/2 binary64) y)) z y) z)))))))
(if (<=.f64 (exp.f64 z) #s(literal 7687697232696013/7687697232696013035490465480201479025983241823794691621558168976140934720122093268938148043346259333988919315645138393722043075242293497100043735968399262883880680368733084239192707430286484902215659282347932289182034267181757047930126964620533348010060414976 binary64)) (-.f64 x (/.f64 #s(literal -1 binary64) (.f64 t (/.f64 #s(literal -1 binary64) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))))))) (-.f64 x (/.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(literal -1 binary64) (log1p.f64 #s(approx (+ ( y (exp z)) (neg y)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y z) (.f64 #s(literal 1/6 binary64) y)) z (.f64 #s(literal 1/2 binary64) y)) z y) z)))))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(literal -1 binary64) (log1p.f64 #s(approx (+ ( y (exp z)) (neg y)) (.f64 z y)))))) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 4503622145368633/4503599627370496 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (*.f64 (expm1.f64 z) y))) t))))
(if (<=.f64 (+.f64 (.f64 y (exp.f64 z)) (-.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)) (-.f64 x (/.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(literal -1 binary64) (log1p.f64 #s(approx (+ ( y (exp z)) (neg y)) (.f64 y z)))))) (if (<=.f64 (+.f64 (.f64 y (exp.f64 z)) (-.f64 #s(literal 1 binary64) y)) #s(literal 4503622145368633/4503599627370496 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (*.f64 (expm1.f64 z) y))) t))))
(if (<=.f64 (exp.f64 z) #s(literal 7687697232696013/7687697232696013035490465480201479025983241823794691621558168976140934720122093268938148043346259333988919315645138393722043075242293497100043735968399262883880680368733084239192707430286484902215659282347932289182034267181757047930126964620533348010060414976 binary64)) (-.f64 x (/.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (/ -1 (log (+ 1 (+ (* y (exp z)) (neg y))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 #s(literal -1 binary64) (expm1.f64 z))) y)))) (-.f64 x (/.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(literal -1 binary64) (log1p.f64 #s(approx (+ (* y (exp z)) (neg y)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 z y) (.f64 #s(literal 1/6 binary64) y)) z (.f64 #s(literal 1/2 binary64) y)) z y) z)))))))
(if (<=.f64 (exp.f64 z) #s(literal 7687697232696013/7687697232696013035490465480201479025983241823794691621558168976140934720122093268938148043346259333988919315645138393722043075242293497100043735968399262883880680368733084239192707430286484902215659282347932289182034267181757047930126964620533348010060414976 binary64)) (-.f64 x (/.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (/ -1 (log (+ 1 (+ (* y (exp z)) (neg y))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 #s(literal -1 binary64) (expm1.f64 z))) y)))) (-.f64 x (/.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(literal -1 binary64) (log1p.f64 #s(approx (+ (* y (exp z)) (neg y)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y z) (.f64 #s(literal 1/6 binary64) y)) z (.f64 #s(literal 1/2 binary64) y)) z y) z)))))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(literal -1 binary64) (log1p.f64 #s(approx (+ ( y (exp z)) (neg y)) (.f64 z y)))))) (-.f64 x (/.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (/ -1 (log (+ 1 (+ ( y (exp z)) (neg y))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 #s(literal -1 binary64) (expm1.f64 z))) y)))))
(if (<=.f64 (+.f64 (.f64 y (exp.f64 z)) (-.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)) (-.f64 x (/.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(literal -1 binary64) (log1p.f64 #s(approx (+ ( y (exp z)) (neg y)) (.f64 y z)))))) (-.f64 x (/.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (/ -1 (log (+ 1 (+ ( y (exp z)) (neg y))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 #s(literal -1 binary64) (expm1.f64 z))) y)))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(literal -1 binary64) (log1p.f64 #s(approx (+ ( y (exp z)) (neg y)) (.f64 z y)))))) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 20000000000000001173281225401480239510924085727794608776187427091019642704107631219009550715922787179608060751714014998753604207233728512 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) #s(literal 1 binary64))) t))))
(if (<=.f64 (+.f64 (.f64 y (exp.f64 z)) (-.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)) (-.f64 x (/.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(literal -1 binary64) (log1p.f64 #s(approx (+ ( y (exp z)) (neg y)) (.f64 y z)))))) (if (<=.f64 (+.f64 (.f64 y (exp.f64 z)) (-.f64 #s(literal 1 binary64) y)) #s(literal 20000000000000001173281225401480239510924085727794608776187427091019642704107631219009550715922787179608060751714014998753604207233728512 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) #s(literal 1 binary64))) t))))
(if (<=.f64 y #s(literal 430000000000000004567547321436556432237514467123489094050383339823134215493039218883524364257610367324410479920748670985977114673545216 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (+.f64 (.f64 (fma.f64 (.f64 y z) #s(literal 1/2 binary64) y) z) #s(literal 1 binary64)))) t)))
(if (<=.f64 y #s(literal 430000000000000004567547321436556432237514467123489094050383339823134215493039218883524364257610367324410479920748670985977114673545216 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 430000000000000004567547321436556432237514467123489094050383339823134215493039218883524364257610367324410479920748670985977114673545216 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 430000000000000004567547321436556432237514467123489094050383339823134215493039218883524364257610367324410479920748670985977114673545216 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 20000000000000001173281225401480239510924085727794608776187427091019642704107631219009550715922787179608060751714014998753604207233728512 binary64)) (-.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))) #s(literal 1 binary64))) t)))
(if (<=.f64 (+.f64 (.f64 y (exp.f64 z)) (-.f64 #s(literal 1 binary64) y)) #s(literal 20000000000000001173281225401480239510924085727794608776187427091019642704107631219009550715922787179608060751714014998753604207233728512 binary64)) (-.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))) #s(literal 1 binary64))) t)))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 20000000000000001173281225401480239510924085727794608776187427091019642704107631219009550715922787179608060751714014998753604207233728512 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) #s(literal 1 binary64))) t)))
(if (<=.f64 (+.f64 (.f64 y (exp.f64 z)) (-.f64 #s(literal 1 binary64) y)) #s(literal 20000000000000001173281225401480239510924085727794608776187427091019642704107631219009550715922787179608060751714014998753604207233728512 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) #s(literal 1 binary64))) t)))
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(if (<=.f64 (exp.f64 z) #s(literal 9007194751141365/9007199254740992 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) y) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) t)))
(if (<=.f64 z #s(literal -760 binary64)) (-.f64 x (/.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (/ -1 (log (+ 1 (+ (* y (exp z)) (neg y))))) (/.f64 (fma.f64 z (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) (.f64 y y)) (/.f64 #s(literal -1 binary64) y)) z)))) (-.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)))
(if (<=.f64 z #s(literal -760 binary64)) (-.f64 x (/.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (/ -1 (log (+ 1 (+ (* y (exp z)) (neg y))))) (/.f64 (fma.f64 z (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) (.f64 y y)) (/.f64 #s(literal -1 binary64) y)) z)))) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) y) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) t)))
(if (<=.f64 (exp.f64 z) #s(literal 7687697232696013/7687697232696013035490465480201479025983241823794691621558168976140934720122093268938148043346259333988919315645138393722043075242293497100043735968399262883880680368733084239192707430286484902215659282347932289182034267181757047930126964620533348010060414976 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 y t) z))) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) #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)))
(if (<=.f64 (exp.f64 z) #s(literal 7687697232696013/7687697232696013035490465480201479025983241823794691621558168976140934720122093268938148043346259333988919315645138393722043075242293497100043735968399262883880680368733084239192707430286484902215659282347932289182034267181757047930126964620533348010060414976 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 y t) z))) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) y) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) t)))
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(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 z y)) t)) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 (/.f64 y t) z))))
(if (<=.f64 (+.f64 (.f64 y (exp.f64 z)) (-.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 y z)) t)) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 (/.f64 y t) z))))
(if (<=.f64 z #s(literal -5054990000090745/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) (-.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 y (/.f64 z t)))))
(if (<=.f64 z #s(literal -5054990000090745/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 y t) z))) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 (/.f64 z t) y))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y)))

soundness1.6s (8.5%)

Memory

-2.9MiB live, 1 522.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	421
0	86	421
1	364	421
2	3158	413
0	9258	394
0	713	14315
1	2324	13619
0	8033	11156
0	12	45
0	19	45
1	73	45
2	593	45
3	7204	45
0	8984	38
0	335	2420
1	1012	2316
2	3176	2227
0	8212	1752
0	72	626
0	109	621
1	479	599
2	3979	599
0	11507	569
0	514	12456
1	1632	11925
2	5213	11522
0	8263	9139
0	46	335
0	80	327
1	336	305
2	2507	305
0	8986	301

Stop Event

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

Compiler

Compiled 1 813 to 959 computations (47.1% saved)

preprocess116.0ms (0.6%)

Memory: 14.9MiB live, 291.7MiB allocated
Compiler: Compiled 1 322 to 392 computations (70.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

start0.0ms (0%)

analyze381.0ms (2%)

sample7.9s (40.9%)

explain456.0ms (2.4%)

preprocess284.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify36.0ms (0.2%)

localize118.0ms (0.6%)

series160.0ms (0.8%)

simplify597.0ms (3.1%)

rewrite494.0ms (2.6%)

eval76.0ms (0.4%)

prune23.0ms (0.1%)

simplify237.0ms (1.2%)

localize286.0ms (1.5%)

series206.0ms (1.1%)

simplify208.0ms (1.1%)

rewrite521.0ms (2.7%)

eval197.0ms (1%)

prune56.0ms (0.3%)

simplify142.0ms (0.7%)

localize263.0ms (1.4%)

series151.0ms (0.8%)

simplify318.0ms (1.6%)

rewrite304.0ms (1.6%)

eval306.0ms (1.6%)

prune230.0ms (1.2%)

simplify367.0ms (1.9%)

localize459.0ms (2.4%)

series143.0ms (0.7%)

simplify224.0ms (1.2%)

rewrite244.0ms (1.3%)

eval142.0ms (0.7%)

prune145.0ms (0.8%)

regimes315.0ms (1.6%)

regimes82.0ms (0.4%)

regimes76.0ms (0.4%)

regimes90.0ms (0.5%)

regimes137.0ms (0.7%)

regimes153.0ms (0.8%)

regimes13.0ms (0.1%)

regimes23.0ms (0.1%)

regimes29.0ms (0.2%)

regimes129.0ms (0.7%)

regimes92.0ms (0.5%)

regimes38.0ms (0.2%)

regimes91.0ms (0.5%)

regimes15.0ms (0.1%)

regimes86.0ms (0.4%)

regimes27.0ms (0.1%)

regimes26.0ms (0.1%)

regimes11.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch139.0ms (0.7%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch59.0ms (0.3%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch52.0ms (0.3%)

simplify166.0ms (0.9%)

soundness1.6s (8.5%)

preprocess116.0ms (0.6%)

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