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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze366.0ms (1.9%)

Memory

33.6MiB live, 493.0MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 14 computations (6.7% saved)

sample8.3s (43.6%)

Memory

72.7MiB live, 5 570.2MiB allocated

Samples

4.7s	4 551×	1	valid
1.4s	1 227×	5	exit
424.0ms	3 705×	0	valid
246.0ms	666×	1	invalid
214.0ms	378×	4	exit
153.0ms	1 851×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 6.5s

ival-exp: 1.8s (28.2% of total)

ival-log: 1.6s (25.2% of total)

ival-add: 1.1s (16.5% of total)

ival-sub: 680.0ms (10.5% of total)

adjust: 642.0ms (9.9% of total)

ival-mult: 360.0ms (5.6% of total)

ival-div: 247.0ms (3.8% of total)

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

exact: 9.0ms (0.1% of total)

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

Bogosity

explain444.0ms (2.3%)

Memory

-21.5MiB live, 468.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
166	41	(6.021291600134599e+143 -8.456794100368053e-159 -1.2133054303296165e-225 2.036499724343143e-168)	0	-	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
73	6	(-3.8907465247988415e+136 2388739576310022.0 -9.165333484627002e-76 1.66823095153872e-68)	0	-	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
16	0	-	2	(-9.754101028968343e-15 -3.684024727749695e-225 2.504995977977103e-90 -1.077698794576013e-305)	`(/.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	207	0
`+.f64`	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`	cancellation	33	0
`/.f64`	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`	u/n	6	0
↳	`(exp.f64 z)`	underflow	68
↳	`(*.f64 y (exp.f64 z))`	underflow	68
↳	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`	underflow	40

Confusion

	Predicted +	Predicted -
+	98	9
-	123	26

Precision

0.4434389140271493

Recall

0.9158878504672897

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	98	0	9
-	123	0	26

Precision?

0.4434389140271493

Recall?

0.9158878504672897

Freqs

test

number	freq
0	35
1	196
2	25

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

125.0ms	346×	1	valid
82.0ms	110×	2	valid
5.0ms	56×	0	valid

Compiler

Compiled 127 to 40 computations (68.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 178.0ms

ival-log: 85.0ms (47.8% of total)

ival-exp: 38.0ms (21.4% of total)

adjust: 16.0ms (9% of total)

ival-sub: 14.0ms (7.9% of total)

ival-add: 9.0ms (5.1% of total)

ival-div: 8.0ms (4.5% of total)

ival-mult: 7.0ms (3.9% of total)

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

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

exact: 0.0ms (0% of total)

preprocess294.0ms (1.5%)

Memory

18.0MiB live, 90.7MiB 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: 0.4MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.0%	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify36.0ms (0.2%)

Memory

-7.1MiB live, 30.2MiB 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

localize153.0ms (0.8%)

Memory

18.1MiB live, 141.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(*.f64 y (exp.f64 z))
accuracy	3.5891331890320255	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
accuracy	17.361701809645336	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
accuracy	37.61792600829662	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))

Samples

88.0ms	173×	1	valid
52.0ms	55×	2	valid
3.0ms	28×	0	valid

Compiler

Compiled 57 to 14 computations (75.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 114.0ms

ival-log: 68.0ms (59.5% of total)

ival-exp: 19.0ms (16.6% of total)

ival-sub: 9.0ms (7.9% of total)

adjust: 7.0ms (6.1% of total)

ival-div: 4.0ms (3.5% of total)

ival-mult: 3.0ms (2.6% of total)

ival-add: 3.0ms (2.6% of total)

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

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

exact: 0.0ms (0% of total)

series315.0ms (1.7%)

Memory

-7.0MiB live, 187.9MiB 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>) () ())) ())
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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 (+.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>) () ())) ())
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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 (* -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
155.0ms	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)))
76.0ms	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)))
36.0ms	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)))
22.0ms	z	@	inf	((+ (- 1 y) (* y (exp z))) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z)))
9.0ms	t	@	-inf	((+ (- 1 y) (* y (exp z))) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z)))

simplify662.0ms (3.5%)

Memory

-33.1MiB live, 223.9MiB 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)
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))))
(fma.f64 (-.f64 (.f64 (/.f64 (.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) z x)
(+ x (* z (- (* z (- (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t))))
(fma.f64 (-.f64 (.f64 (fma.f64 (/.f64 (-.f64 y (.f64 y y)) t) #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (/.f64 z t)) #s(literal -1/6 binary64))) z) (/.f64 y t)) z x)
(/ (* y z) t)
(*.f64 (/.f64 y t) z)
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))
(.f64 (fma.f64 (.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z)
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t)))
(.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (/.f64 z t)) #s(literal 1/6 binary64) (.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64))) z (/.f64 y t)) z)
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)))))) (/ y t)))
(.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) t) #s(literal 1/6 binary64) (.f64 (.f64 (fma.f64 (.f64 y y) (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) y)) (/.f64 z t)) #s(literal 1/24 binary64))) z (.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64))) z (/.f64 y t)) z)
y
(+ y (* y z))
(fma.f64 z y y)
(+ y (* z (+ y (* 1/2 (* y z)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z y)
(+ y (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))))
(fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z y)
(- (+ 1 (* y (exp z))) y)
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64))
(- (+ 1 (* y (exp z))) y)
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64))
(- (+ 1 (* y (exp z))) y)
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64))
(- (+ 1 (* y (exp z))) y)
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64))
(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))
(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))
(- 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)
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rewrite199.0ms (1%)

Memory

19.0MiB live, 247.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 287

Calls

Call 1

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

Outputs
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eval62.0ms (0.3%)

Memory: -3.4MiB live, 160.0MiB allocated
Compiler: Compiled 12 692 to 1 636 computations (87.1% saved)

prune79.0ms (0.4%)

Memory

1.5MiB live, 130.2MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	420	16	436
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	421	16	437

Accuracy

100.0%

Counts

437 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	80.6%	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x)
	64.1%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t))
▶	65.0%	(-.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))
	70.5%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
▶	35.7%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))
	69.5%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
	53.0%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) z) (fma.f64 (.f64 y y) (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) y)) (.f64 (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) z (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t))
▶	58.1%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) z) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t))
	64.0%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t))
	83.9%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
	74.7%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
	80.6%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))))))
▶	85.6%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
▶	73.9%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
	64.6%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 (.f64 (/.f64 (.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) z x))
	31.6%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))

Compiler

Compiled 484 to 404 computations (16.5% saved)

simplify207.0ms (1.1%)

Memory

1.8MiB live, 278.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	496
0	82	496
1	150	496
2	341	466
3	853	466
4	2296	466
5	6143	466
0	8188	425

Stop Event

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

Calls

Call 1

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

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

localize365.0ms (1.9%)

Memory

-11.0MiB live, 377.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(*.f64 (expm1.f64 z) y)
accuracy	3.5891331890320255	(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t)
accuracy	37.61792600829662	(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y)))
accuracy	50.40135061594636	#s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (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	3.5891331890320255	(/.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	14.586380457562097	#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	37.61792600829662	(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	3.3684619916391805	(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	3.5891331890320255	(/.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	11.131478789032995	(fma.f64 (.f64 #s(literal 1/6 binary64) z) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)))
accuracy	22.88985431503849	#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	4.54128310087014	(*.f64 (/.f64 y t) z)
accuracy	22.331854520214765	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))
accuracy	0.00390625	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
accuracy	0.0078125	(/.f64 (expm1.f64 z) t)
accuracy	4.465122208883161	(*.f64 (/.f64 (expm1.f64 z) t) y)
accuracy	12.115767525388188	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))

Samples

215.0ms	173×	1	valid
104.0ms	55×	2	valid
8.0ms	28×	0	valid

Compiler

Compiled 361 to 42 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 245.0ms

ival-mult: 85.0ms (34.8% of total)

adjust: 71.0ms (29% of total)

ival-log: 33.0ms (13.5% of total)

ival-exp: 19.0ms (7.8% of total)

ival-add: 12.0ms (4.9% of total)

ival-sub: 8.0ms (3.3% of total)

ival-div: 8.0ms (3.3% of total)

const: 5.0ms (2% of total)

ival-expm1: 2.0ms (0.8% of total)

exact: 1.0ms (0.4% of total)

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

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

series151.0ms (0.8%)

Memory

13.4MiB live, 293.4MiB allocated

Counts

24 → 768

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
24.0ms	z	@	0	((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ y t) z) (/ y t) (+ (* (* 1/6 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))) (- 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))) (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) (* (- (exp z) 1) y))
17.0ms	t	@	inf	((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ y t) z) (/ y t) (+ (* (* 1/6 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))) (- 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))) (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) (* (- (exp z) 1) y))
13.0ms	z	@	-inf	((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ y t) z) (/ y t) (+ (* (* 1/6 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))) (- 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))) (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) (* (- (exp z) 1) y))
12.0ms	z	@	inf	((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ y t) z) (/ y t) (+ (* (* 1/6 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))) (- 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))) (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) (* (- (exp z) 1) y))
12.0ms	t	@	-inf	((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ y t) z) (/ y t) (+ (* (* 1/6 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))) (- 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))) (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) (* (- (exp z) 1) y))

simplify474.0ms (2.5%)

Memory

-33.4MiB live, 328.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	542	12227
1	1746	11760
2	5583	11363
0	8178	9110

Stop Event

1×	iter limit
1×	node limit

Counts

768 → 737

Calls

Call 1

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

rewrite219.0ms (1.2%)

Memory

3.9MiB live, 302.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	408
0	82	408
1	343	408
2	2814	408
0	8904	393

Stop Event

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

Counts

24 → 488

Calls

Call 1

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

Outputs
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eval197.0ms (1%)

Memory: 10.4MiB live, 336.9MiB allocated
Compiler: Compiled 31 538 to 3 059 computations (90.3% saved)

prune116.0ms (0.6%)

Memory

-6.3MiB live, 120.6MiB allocated

Pruning

27 alts after pruning (24 fresh and 3 done)

	Pruned	Kept	Total
New	1 206	19	1 225
Fresh	6	5	11
Picked	2	3	5
Done	0	0	0
Total	1 214	27	1 241

Accuracy

100.0%

Counts

1 241 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	80.6%	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x)
▶	58.1%	(fma.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) z (.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z y) z))) (pow.f64 t #s(literal -1 binary64)) x)
✓	65.0%	(-.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))
	70.5%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
✓	35.7%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))
	23.3%	(-.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))
▶	69.5%	(-.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))
	22.7%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 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))
	24.8%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y) z)))) t))
	28.6%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 z y)))) t))
	53.0%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (.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 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64))) z)) z y) z)) t))
	64.0%	(-.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))
	62.8%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t))
	69.1%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y)) z y) z)) t))
▶	83.9%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
	67.2%	(-.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 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 z y)) z (.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1/2 binary64)) z)) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64))) y)) z)) t))
	67.3%	(-.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))
	74.7%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
	35.8%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))))))
	74.5%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y))))
	74.7%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y)))))
✓	73.9%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
	73.8%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (.f64 (pow.f64 t #s(literal -1 binary64)) y) z)))
▶	76.2%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
	71.8%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t)) z)) y)))
▶	70.1%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y t)) z (/.f64 y t)) z))))
	31.6%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))

Compiler

Compiled 825 to 699 computations (15.3% saved)

simplify199.0ms (1%)

Memory

6.3MiB live, 157.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) z (.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z y) z)))
cost-diff	128	(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) y))
cost-diff	320	(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) z (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) y)))
cost-diff	6080	(fma.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) z (.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z y) z))) (pow.f64 t #s(literal -1 binary64)) x)
cost-diff	0	#s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* 1/2 (* z y)) y) z) 1) #s(literal 1 binary64)))
cost-diff	0	(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* 1/2 (* z y)) y) z) 1) #s(literal 1 binary64))))
cost-diff	0	(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* 1/2 (* z y)) y) z) 1) #s(literal 1 binary64)))) t)
cost-diff	0	(-.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))
cost-diff	0	#s(approx (* (/ (- (exp z) 1) t) y) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y t)) z (/.f64 y t)) z))
cost-diff	0	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y t)) z (/.f64 y t)) z)))
cost-diff	0	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y t)) z (/.f64 y t)) z))))
cost-diff	704	(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y t)) z (/.f64 y t))
cost-diff	0	#s(approx (/ (- (exp z) 1) t) (/.f64 z t))
cost-diff	0	(*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)
cost-diff	0	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))
cost-diff	0	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
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	60	595
0	94	595
1	158	595
2	310	560
3	683	560
4	1953	560
5	5045	560
6	7518	560
0	8061	502

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

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

localize525.0ms (2.8%)

Memory

-0.6MiB live, 285.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.9584438048873584	(.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) z (.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z y) z)
accuracy	3.3684619916391805	(fma.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) z (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) y))) z y)
accuracy	11.123666289032995	(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) z (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) y)))
accuracy	22.88985431503849	#s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) z (.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z y) z))
accuracy	3.5891331890320255	(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* 1/2 (* z y)) y) z) 1) #s(literal 1 binary64)))) t)
accuracy	14.586380457562097	#s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* 1/2 (* z y)) y) z) 1) #s(literal 1 binary64)))
accuracy	20.609803016145495	#s(approx (+ (* (+ (* 1/2 (* z y)) y) z) 1) #s(literal 1 binary64))
accuracy	37.61792600829662	(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* 1/2 (* z y)) y) z) 1) #s(literal 1 binary64))))
accuracy	3.3948787062820323	(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y t)) z (/.f64 y t)) z)
accuracy	4.990349813212867	(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y t)) z (/.f64 y t))
accuracy	12.115767525388188	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y t)) z (/.f64 y t)) z)))
accuracy	17.211109200883126	#s(approx (* (/ (- (exp z) 1) t) y) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y t)) z (/.f64 y t)) z))
accuracy	0.00390625	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
accuracy	4.465122208883161	(*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)
accuracy	12.115767525388188	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))
accuracy	17.054883542495933	#s(approx (/ (- (exp z) 1) t) (/.f64 z t))
accuracy	0.00390625	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
accuracy	0.00390625	(*.f64 (expm1.f64 z) y)
accuracy	3.5891331890320255	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)
accuracy	12.16072613654989	#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))

Samples

217.0ms	171×	1	valid
174.0ms	56×	2	valid
10.0ms	29×	0	valid

Compiler

Compiled 392 to 51 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 305.0ms

ival-mult: 99.0ms (32.5% of total)

ival-pow: 55.0ms (18% of total)

adjust: 45.0ms (14.8% of total)

ival-log: 44.0ms (14.4% of total)

ival-exp: 19.0ms (6.2% of total)

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

ival-div: 11.0ms (3.6% of total)

ival-sub: 6.0ms (2% of total)

const: 5.0ms (1.6% of total)

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

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

exact: 1.0ms (0.3% of total)

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

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

series310.0ms (1.6%)

Memory

10.5MiB live, 397.5MiB allocated

Counts

25 → 804

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

Calls

12 calls:

Time	Variable		Point	Expression
80.0ms	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) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (+ (* (* 1/2 (/ y t)) z) (/ y t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (+ (* (neg (log (+ (- 1 y) (* y (exp z))))) (pow t -1)) x) (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) z) (* 1/2 (* (- 1 y) y))) (* 1/2 (* (- 1 y) y)) (neg (log (+ (- 1 y) (* y (exp z))))) (* (+ (* (* 1/2 (/ y t)) z) (/ y t)) z) (+ (* (+ (* 1/2 (* z y)) y) z) 1) (log (+ (- 1 y) (* y (exp z)))) (+ (* (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) z) (* 1/2 (* (- 1 y) y))) z) y) (* (+ (* (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) z) (* 1/2 (* (- 1 y) y))) z) y) z))
38.0ms	x	@	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) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (+ (* (* 1/2 (/ y t)) z) (/ y t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (+ (* (neg (log (+ (- 1 y) (* y (exp z))))) (pow t -1)) x) (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) z) (* 1/2 (* (- 1 y) y))) (* 1/2 (* (- 1 y) y)) (neg (log (+ (- 1 y) (* y (exp z))))) (* (+ (* (* 1/2 (/ y t)) z) (/ y t)) z) (+ (* (+ (* 1/2 (* z y)) y) z) 1) (log (+ (- 1 y) (* y (exp z)))) (+ (* (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) z) (* 1/2 (* (- 1 y) y))) z) y) (* (+ (* (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) z) (* 1/2 (* (- 1 y) y))) z) y) z))
20.0ms	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) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (+ (* (* 1/2 (/ y t)) z) (/ y t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (+ (* (neg (log (+ (- 1 y) (* y (exp z))))) (pow t -1)) x) (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) z) (* 1/2 (* (- 1 y) y))) (* 1/2 (* (- 1 y) y)) (neg (log (+ (- 1 y) (* y (exp z))))) (* (+ (* (* 1/2 (/ y t)) z) (/ y t)) z) (+ (* (+ (* 1/2 (* z y)) y) z) 1) (log (+ (- 1 y) (* y (exp z)))) (+ (* (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) z) (* 1/2 (* (- 1 y) y))) z) y) (* (+ (* (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) z) (* 1/2 (* (- 1 y) y))) z) y) z))
14.0ms	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) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (+ (* (* 1/2 (/ y t)) z) (/ y t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (+ (* (neg (log (+ (- 1 y) (* y (exp z))))) (pow t -1)) x) (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) z) (* 1/2 (* (- 1 y) y))) (* 1/2 (* (- 1 y) y)) (neg (log (+ (- 1 y) (* y (exp z))))) (* (+ (* (* 1/2 (/ y t)) z) (/ y t)) z) (+ (* (+ (* 1/2 (* z y)) y) z) 1) (log (+ (- 1 y) (* y (exp z)))) (+ (* (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) z) (* 1/2 (* (- 1 y) y))) z) y) (* (+ (* (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) z) (* 1/2 (* (- 1 y) y))) z) y) z))
12.0ms	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) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (+ (* (* 1/2 (/ y t)) z) (/ y t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (+ (* (neg (log (+ (- 1 y) (* y (exp z))))) (pow t -1)) x) (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) z) (* 1/2 (* (- 1 y) y))) (* 1/2 (* (- 1 y) y)) (neg (log (+ (- 1 y) (* y (exp z))))) (* (+ (* (* 1/2 (/ y t)) z) (/ y t)) z) (+ (* (+ (* 1/2 (* z y)) y) z) 1) (log (+ (- 1 y) (* y (exp z)))) (+ (* (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) z) (* 1/2 (* (- 1 y) y))) z) y) (* (+ (* (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) z) (* 1/2 (* (- 1 y) y))) z) y) z))

simplify246.0ms (1.3%)

Memory

-1.8MiB live, 348.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	726	13087
1	2395	12705
2	7878	12559
0	8240	10123

Stop Event

1×	iter limit
1×	node limit

Counts

804 → 773

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 (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (- (exp z) 1) t)
(/ (- (exp z) 1) t)
(/ (- (exp z) 1) t)
(/ (- (exp z) 1) t)
(/ (+ y (* 1/2 (* y z))) t)
(/ (+ y (* 1/2 (* y z))) t)
(/ (+ y (* 1/2 (* y z))) t)
(/ (+ y (* 1/2 (* 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)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(/ (+ (* -1 (log (- (+ 1 (* y (exp z))) y))) (* t x)) t)
(/ (+ (* -1 (log (- (+ 1 (* y (exp z))) y))) (* t x)) t)
(/ (+ (* -1 (log (- (+ 1 (* y (exp z))) y))) (* t x)) t)
(/ (* z (+ y (* 1/2 (* y z)))) t)
(/ (* z (+ y (* 1/2 (* y z)))) t)
(/ (* z (+ y (* 1/2 (* y z)))) t)
(/ (* z (+ y (* 1/2 (* y z)))) t)
x
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
x
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (- (exp z) 1) t)
(/ (- (exp z) 1) t)
(/ (- (exp z) 1) t)
(/ (- (exp z) 1) t)
(/ (+ y (* 1/2 (* y z))) t)
(/ (+ y (* 1/2 (* y z))) t)
(/ (+ y (* 1/2 (* y z))) t)
(/ (+ y (* 1/2 (* y z))) t)
x
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
x
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
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)))
(/ (* z (+ y (* 1/2 (* y z)))) t)
(/ (* z (+ y (* 1/2 (* y z)))) t)
(/ (* z (+ y (* 1/2 (* y z)))) t)
(/ (* z (+ y (* 1/2 (* y z)))) t)
x
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
x
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (- (exp z) 1) t)
(/ (- (exp z) 1) t)
(/ (- (exp z) 1) t)
(/ (- (exp z) 1) t)
(* -1 (/ (+ (* -1 y) (* -1/2 (* y z))) t))
(* -1 (/ (+ (* -1 y) (* -1/2 (* y z))) t))
(* -1 (/ (+ (* -1 y) (* -1/2 (* y z))) t))
(* -1 (/ (+ (* -1 y) (* -1/2 (* y z))) t))
x
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
x
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
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 (/ (* z (+ (* -1 y) (* -1/2 (* y z)))) t))
(* -1 (/ (* z (+ (* -1 y) (* -1/2 (* y z)))) t))
(* -1 (/ (* z (+ (* -1 y) (* -1/2 (* y z)))) t))
(* -1 (/ (* z (+ (* -1 y) (* -1/2 (* y z)))) t))
x
(+ x (* -1 (/ (* y z) t)))
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))))
(+ x (* z (- (* z (- (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t))))
(/ (* 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
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(* -1/2 (pow y 2))
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2))
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2))
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2))
(* -1 (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))))
(- (/ 1 (* y (+ 1 (* -1 (exp z))))) (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))))
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(- (* -1 (/ (- (* -1 (/ (+ (* 1/3 (/ 1 (* y (pow (+ 1 (* -1 (exp z))) 3)))) (* 1/2 (/ 1 (pow (+ 1 (* -1 (exp z))) 2)))) y)) (/ 1 (+ 1 (* -1 (exp z))))) y)) (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))))
(* -1 (* y (* z (- (* -1/2 (/ z t)) (/ 1 t)))))
(* -1 (* y (* z (- (* -1/2 (/ z t)) (/ 1 t)))))
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(* -1 (* y (- (* z (- (* -1/2 z) 1)) (/ 1 y))))
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(+ (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))))
(* 1/3 (* (pow y 3) (pow z 2)))
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(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (* z (- (* -1/6 z) 1/2)) 1) y)) (* z (- (* -1/2 z) 1/2))) y)) (* -1/3 (pow z 2)))))
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(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
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(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
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(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
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(- 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 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
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(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
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(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
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(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
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(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
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(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
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(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
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(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
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Outputs
(* -1 (/ (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)
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x
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rewrite241.0ms (1.3%)

Memory

25.8MiB live, 304.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	518
0	94	518
1	360	516
2	2794	516
0	8657	492

Stop Event

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

Counts

25 → 370

Calls

Call 1

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

Outputs
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eval223.0ms (1.2%)

Memory: -30.4MiB live, 413.7MiB allocated
Compiler: Compiled 27 786 to 2 639 computations (90.5% saved)

prune56.0ms (0.3%)

Memory

2.9MiB live, 164.3MiB allocated

Pruning

30 alts after pruning (23 fresh and 7 done)

	Pruned	Kept	Total
New	1 136	7	1 143
Fresh	3	16	19
Picked	1	4	5
Done	0	3	3
Total	1 140	30	1 170

Accuracy

100.0%

Counts

1 170 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	80.6%	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x)
	62.8%	(fma.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 #s(approx (+ ( (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) z) (* 1/2 (* (- 1 y) y))) (*.f64 (fma.f64 (fma.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z))) (pow.f64 t #s(literal -1 binary64)) x)
✓	65.0%	(-.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))
	70.5%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
✓	35.7%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))
	23.3%	(-.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))
✓	69.5%	(-.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))
	22.7%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 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))
▶	24.8%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y) z)))) t))
	28.6%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 z y)))) t))
	53.0%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (.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 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64))) z)) z y) z)) t))
	64.0%	(-.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))
▶	62.8%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t))
✓	83.9%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
	67.2%	(-.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 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 z y)) z (.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1/2 binary64)) z)) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64))) y)) z)) t))
	67.3%	(-.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))
▶	74.7%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
▶	69.5%	(-.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))
	35.8%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))))))
	74.5%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y))))
	74.7%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y)))))
✓	73.9%	(-.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 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
	69.7%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (fma.f64 y (/.f64 z t) (.f64 (.f64 (*.f64 (/.f64 y t) #s(literal 1/2 binary64)) z) z)))))
✓	70.1%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y t)) z (/.f64 y t)) z))))
	69.5%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (.f64 #s(approx (+ ( (* 1/2 (/ y t)) z) (/ y t)) (/.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) t)) z))))
	69.5%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (.f64 #s(approx (+ ( (* 1/2 (/ y t)) z) (/ y t)) (*.f64 (fma.f64 (/.f64 z t) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) t)) y)) z))))
	59.4%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (.f64 #s(approx (+ ( (* 1/2 (/ y t)) z) (/ y t)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) t) z) y)) z))))
▶	86.2%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) (neg.f64 x) x))
	31.6%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))

Compiler

Compiled 873 to 737 computations (15.6% saved)

simplify204.0ms (1.1%)

Memory

25.7MiB live, 243.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y) z)))
cost-diff	0	(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y) z))))
cost-diff	0	(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y) z)))) t)
cost-diff	0	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y) z)))) t))
cost-diff	0	(.f64 (fma.f64 #s(approx (+ ( (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)
cost-diff	0	#s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z))
cost-diff	0	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t)
cost-diff	0	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t))
cost-diff	0	#s(approx (* (- (exp z) 1) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))
cost-diff	0	#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)))
cost-diff	0	(/.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)
cost-diff	0	(-.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))
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	(log1p.f64 (*.f64 (expm1.f64 z) y))
cost-diff	0	(/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t))
cost-diff	0	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) (neg.f64 x) x))
cost-diff	640	(fma.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) (neg.f64 x) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	740
0	107	740
1	200	740
2	483	692
3	1233	636
4	3221	636
5	4689	636
6	7671	636
0	8269	632

Stop Event

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

Calls

Call 1

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

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

localize446.0ms (2.3%)

Memory

23.8MiB live, 618.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	4.681313501867475	(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y)
accuracy	16.677291523919394	#s(approx (* (- (exp z) 1) y) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y) z))
accuracy	37.1429953881323	(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y) z))))
accuracy	49.921606949764744	#s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y) z)))
accuracy	0.9584438048873584	(.f64 (fma.f64 #s(approx (+ ( (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)
accuracy	3.3684619916391805	(fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y)
accuracy	3.5891331890320255	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t)
accuracy	22.658040848293606	#s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z))
accuracy	3.5891331890320255	(/.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)
accuracy	4.659798649664018	(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)
accuracy	12.16072613654989	#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)))
accuracy	17.238861225286993	#s(approx (* (- (exp z) 1) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))
accuracy	0	(*.f64 z y)
accuracy	0.00390625	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
accuracy	3.5891331890320255	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)
accuracy	22.899702126715464	#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))
accuracy	0.00390625	(*.f64 (expm1.f64 z) y)
accuracy	0.0078125	(log1p.f64 (*.f64 (expm1.f64 z) y))
accuracy	3.590167685214717	(fma.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) (neg.f64 x) x)
accuracy	6.941457148111404	(/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t))

Samples

260.0ms	172×	1	valid
110.0ms	54×	2	valid
20.0ms	28×	0	valid
8.0ms	2×	5	exit

Compiler

Compiled 447 to 58 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 299.0ms

ival-mult: 79.0ms (26.4% of total)

adjust: 57.0ms (19.1% of total)

ival-add: 53.0ms (17.7% of total)

ival-log: 41.0ms (13.7% of total)

ival-exp: 19.0ms (6.4% of total)

ival-expm1: 17.0ms (5.7% of total)

const: 10.0ms (3.3% of total)

ival-sub: 8.0ms (2.7% of total)

ival-div: 7.0ms (2.3% of total)

ival-log1p: 4.0ms (1.3% of total)

exact: 1.0ms (0.3% of total)

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

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

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

series290.0ms (1.5%)

Memory

5.2MiB live, 487.6MiB allocated

Counts

25 → 816

Calls

Call 1

Inputs
#s(alt (fma.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) (neg.f64 x) x) (patch (fma.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) (neg.f64 x) x) #<representation binary64>) () ())
#s(alt #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) (neg.f64 x) x)) (patch #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) (neg.f64 x) x)) #<representation binary64>) () ())
#s(alt (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) (patch (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) #<representation binary64>) () ())
#s(alt (log1p.f64 (.f64 (expm1.f64 z) y)) (patch (log1p.f64 (.f64 (expm1.f64 z) y)) #<representation binary64>) () ())
#s(alt (-.f64 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>) () ())
#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())
#s(alt (/.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) (patch (/.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) #<representation binary64>) () ())
#s(alt #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))) (patch #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))) #<representation binary64>) () ())
#s(alt #s(approx (* (- (exp z) 1) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)) (patch #s(approx (* (- (exp z) 1) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)) #<representation binary64>) () ())
#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (.f64 (fma.f64 (fma.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (.f64 (fma.f64 (fma.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t) (patch (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t) #<representation binary64>) () ())
#s(alt #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (.f64 (fma.f64 (fma.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) (patch #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) #<representation binary64>) () ())
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#s(alt (.f64 (expm1.f64 z) y) (patch (.f64 (expm1.f64 z) y) #<representation binary64>) () ())
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Outputs
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#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)))) #s(approx (* (- (exp z) 1) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) t)) (patch (-.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)) #<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)))) #s(approx (* (- (exp z) 1) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) t)) (patch (-.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)) #<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)))) #s(approx (* (- (exp z) 1) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) t)) (patch (-.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)) #<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)))) #s(approx (* (- (exp z) 1) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) t)) (patch (-.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)) #<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)))) #s(approx (* (- (exp z) 1) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) t) (patch (/.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) #<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)))) #s(approx (* (- (exp z) 1) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) t) (patch (/.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) #<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)))) #s(approx (* (- (exp z) 1) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) t) (patch (/.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) #<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)))) #s(approx (* (- (exp z) 1) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) t) (patch (/.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) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) (taylor 0 t) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (.f64 (fma.f64 (fma.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) (taylor 0 t) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (.f64 (fma.f64 (fma.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y) z)))) t)) (patch (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) 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 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y) z)))) t)) (patch (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y) z)))) t)) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
39.0ms	x	@	0	((+ (* (/ (log (+ 1 (* (- (exp z) 1) y))) (* x t)) (neg x)) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (* x t)) (log (+ 1 (* (- (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)))) (* z y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (+ (* (+ (* (* 1/6 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))) (* (- (exp z) 1) y) (* (* (+ (* 1/2 z) 1) z) y) (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (* (- (exp z) 1) y) (* (+ (* (+ (* 1/6 z) 1/2) z) 1) y))
34.0ms	z	@	-inf	((+ (* (/ (log (+ 1 (* (- (exp z) 1) y))) (* x t)) (neg x)) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (* x t)) (log (+ 1 (* (- (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)))) (* z y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (+ (* (+ (* (* 1/6 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))) (* (- (exp z) 1) y) (* (* (+ (* 1/2 z) 1) z) y) (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (* (- (exp z) 1) y) (* (+ (* (+ (* 1/6 z) 1/2) z) 1) y))
31.0ms	t	@	0	((+ (* (/ (log (+ 1 (* (- (exp z) 1) y))) (* x t)) (neg x)) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (* x t)) (log (+ 1 (* (- (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)))) (* z y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (+ (* (+ (* (* 1/6 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))) (* (- (exp z) 1) y) (* (* (+ (* 1/2 z) 1) z) y) (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (* (- (exp z) 1) y) (* (+ (* (+ (* 1/6 z) 1/2) z) 1) y))
29.0ms	z	@	inf	((+ (* (/ (log (+ 1 (* (- (exp z) 1) y))) (* x t)) (neg x)) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (* x t)) (log (+ 1 (* (- (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)))) (* z y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (+ (* (+ (* (* 1/6 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))) (* (- (exp z) 1) y) (* (* (+ (* 1/2 z) 1) z) y) (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (* (- (exp z) 1) y) (* (+ (* (+ (* 1/6 z) 1/2) z) 1) y))
25.0ms	t	@	inf	((+ (* (/ (log (+ 1 (* (- (exp z) 1) y))) (* x t)) (neg x)) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (* x t)) (log (+ 1 (* (- (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)))) (* z y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (+ (* (+ (* (* 1/6 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))) (* (- (exp z) 1) y) (* (* (+ (* 1/2 z) 1) z) y) (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (* (- (exp z) 1) y) (* (+ (* (+ (* 1/6 z) 1/2) z) 1) y))

simplify205.0ms (1.1%)

Memory

-13.3MiB live, 238.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	705	14024
1	2304	13289
2	7715	13205
0	8082	10489

Stop Event

1×	iter limit
1×	node limit

Counts

816 → 778

Calls

Call 1

Inputs
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))
(/ (+ (* -1 (log (+ 1 (* y (- (exp z) 1))))) (* t x)) t)
(/ (+ (* -1 (log (+ 1 (* y (- (exp z) 1))))) (* t x)) t)
(/ (+ (* -1 (log (+ 1 (* y (- (exp z) 1))))) (* t x)) t)
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
(* -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)
(* -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) 1)))) t)))
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(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
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x
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x
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x
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(* y z)
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(* 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)))
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(* 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)))))))))))
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(* z (+ y (* 1/2 (* z (- y (pow y 2))))))
(* z (+ y (* z (+ (* 1/6 (* z (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2)))))))
(* z (+ y (* z (+ (* 1/6 (* z (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2)))))))
x
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(+ (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))))
(* -1 (* y (+ 1 (* -1 (exp z)))))
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(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y))))
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y))))
(* y (- (exp z) 1))
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(* y (- (exp z) 1))
(* y (- (exp z) 1))
(* y (* z (+ 1 (* 1/2 z))))
(* y (* z (+ 1 (* 1/2 z))))
(* y (* z (+ 1 (* 1/2 z))))
(* y (* z (+ 1 (* 1/2 z))))
(* 1/3 (* (pow y 3) (pow z 2)))
(* -1 (* (pow y 3) (+ (* -1 (/ (* z (- (* -1/2 z) 1/2)) y)) (* -1/3 (pow z 2)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (* z (- (* -1/6 z) 1/2)) 1) y)) (* z (- (* -1/2 z) 1/2))) y)) (* -1/3 (pow z 2)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (* z (- (* -1/6 z) 1/2)) 1) y)) (* z (- (* -1/2 z) 1/2))) y)) (* -1/3 (pow z 2)))))
(* y (- (exp z) 1))
(* y (- (exp z) 1))
(* y (- (exp z) 1))
(* y (- (exp z) 1))
(* y (+ 1 (* z (+ 1/2 (* 1/6 z)))))
(* y (+ 1 (* z (+ 1/2 (* 1/6 z)))))
(* y (+ 1 (* z (+ 1/2 (* 1/6 z)))))
(* y (+ 1 (* z (+ 1/2 (* 1/6 z)))))
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) 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))
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
(* -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))
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
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(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
x
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(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
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(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
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(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
(/ (log (+ 1 (* y (- (exp z) 1)))) (* 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)))))
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x
(* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1)))
(* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1)))
(* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* 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)))
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
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(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
x
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(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
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x
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
x
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x
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
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Outputs
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))
(/ (+ (* -1 (log (+ 1 (* y (- (exp z) 1))))) (* t x)) t)
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(/.f64 (-.f64 (.f64 x t) (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)
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(/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t))
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(/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t))
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
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(* y (- (exp z) 1))
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(*.f64 (expm1.f64 z) y)
(* y (- (exp z) 1))
(*.f64 (expm1.f64 z) y)
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(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y)
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x
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(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x)
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(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x)
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
(/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t))
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
(/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t))
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(* 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 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x)
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(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
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rewrite217.0ms (1.1%)

Memory

15.9MiB live, 319.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	590
0	107	590
1	466	590
2	3974	590
0	10768	561

Stop Event

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

Counts

25 → 294

Calls

Call 1

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

Outputs
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eval166.0ms (0.9%)

Memory: 26.5MiB live, 278.1MiB allocated
Compiler: Compiled 22 436 to 2 085 computations (90.7% saved)

prune231.0ms (1.2%)

Memory

-15.6MiB live, 147.9MiB allocated

Pruning

33 alts after pruning (22 fresh and 11 done)

	Pruned	Kept	Total
New	1 063	9	1 072
Fresh	5	13	18
Picked	1	4	5
Done	0	7	7
Total	1 069	33	1 102

Accuracy

100.0%

Counts

1 102 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	80.6%	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x)
✓	65.0%	(-.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))
	70.5%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
✓	35.7%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))
	23.3%	(-.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))
✓	69.5%	(-.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))
	22.7%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 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))
✓	24.8%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y) z)))) t))
	28.6%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 z y)))) t))
	64.0%	(-.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))
✓	62.8%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t))
✓	83.9%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
	67.2%	(-.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 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 z y)) z (.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1/2 binary64)) z)) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64))) y)) z)) t))
	67.3%	(-.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))
✓	74.7%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
	70.3%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 z y) y) z))) t))
	57.5%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) z) z) y)))) t))
	35.8%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))))))
	74.5%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y))))
✓	73.9%	(-.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 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
✓	70.1%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y t)) z (/.f64 y t)) z))))
	69.5%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (.f64 #s(approx (+ ( (* 1/2 (/ y t)) z) (/ y t)) (*.f64 (fma.f64 (/.f64 z t) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) t)) y)) z))))
	59.4%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (.f64 #s(approx (+ ( (* 1/2 (/ y t)) z) (/ y t)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) t) z) y)) z))))
✓	86.2%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) (neg.f64 x) x))
	82.8%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x) (/.f64 (neg.f64 x) t) x))
	74.2%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (.f64 z y))) (.f64 x t)) (neg.f64 x) x))
	57.0%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 y (.f64 y y)) y) z)) (.f64 x t)) (neg.f64 x) x))
	74.2%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 (expm1.f64 z) y)) (.f64 x t)) (neg.f64 x) x))
	67.3%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (.f64 z y)) (.f64 x t)) (neg.f64 x) x))
	82.9%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (.f64 (neg.f64 x) (log1p.f64 (.f64 y (expm1.f64 z)))) (pow.f64 (*.f64 t x) #s(literal -1 binary64)) x))
	70.9%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* x t)) (*.f64 (/.f64 (/.f64 y t) x) z)) (neg.f64 x) x))
	31.6%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))

Compiler

Compiled 1 333 to 751 computations (43.7% saved)

regimes291.0ms (1.5%)

Memory

16.4MiB live, 238.7MiB allocated

Counts

52 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

9 calls:

89.0ms	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
50.0ms	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
47.0ms	z
29.0ms	(exp.f64 z)
17.0ms	x

Results

Accuracy	Segments	Branch
95.1%	3	`x`
97.6%	4	`y`
95.5%	3	`z`
94.8%	3	`t`
93.2%	3	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
95.7%	3	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
96.8%	3	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
96.8%	3	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
93.3%	2	`(exp.f64 z)`

Compiler

Compiled 47 to 63 computations (-34% saved)

regimes50.0ms (0.3%)

Memory

14.7MiB live, 53.8MiB allocated

Counts

49 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

37.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
11.0ms	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))

Results

Accuracy	Segments	Branch
96.8%	3	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
96.8%	3	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`

Compiler

Compiled 17 to 19 computations (-11.8% saved)

regimes72.0ms (0.4%)

Memory

-5.3MiB live, 73.5MiB allocated

Counts

45 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

36.0ms	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
34.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))

Results

Accuracy	Segments	Branch
96.7%	3	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
96.7%	3	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`

Compiler

Compiled 17 to 19 computations (-11.8% saved)

regimes262.0ms (1.4%)

Memory

-73.8MiB live, 259.6MiB allocated

Counts

44 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

9 calls:

71.0ms	z
55.0ms	y
33.0ms	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
33.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
16.0ms	t

Results

Accuracy	Segments	Branch
88.8%	2	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
87.3%	2	`t`
85.6%	1	`(exp.f64 z)`
85.6%	1	`x`
85.6%	1	`z`
92.0%	3	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
91.6%	3	`y`
93.1%	3	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
93.1%	3	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`

Compiler

Compiled 47 to 63 computations (-34% saved)

regimes52.0ms (0.3%)

Memory

2.3MiB live, 91.8MiB allocated

Counts

43 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

17.0ms	y
13.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
10.0ms	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
10.0ms	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))

Results

Accuracy	Segments	Branch
90.6%	3	`y`
89.4%	2	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
90.6%	3	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
90.6%	3	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`

Compiler

Compiled 29 to 34 computations (-17.2% saved)

regimes35.0ms (0.2%)

Memory

-14.3MiB live, 63.7MiB allocated

Counts

33 → 2

Calls

Call 1

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

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

Calls

4 calls:

10.0ms	y
8.0ms	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
8.0ms	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
7.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))

Results

Accuracy	Segments	Branch
87.3%	2	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
87.3%	2	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
89.0%	2	`y`
87.7%	2	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`

Compiler

Compiled 29 to 34 computations (-17.2% saved)

regimes21.0ms (0.1%)

Memory

-3.1MiB live, 38.1MiB allocated

Counts

31 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

9.0ms	y
8.0ms	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))

Results

Accuracy	Segments	Branch
85.6%	1	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
88.3%	2	`y`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes80.0ms (0.4%)

Memory

18.1MiB live, 56.8MiB allocated

Counts

30 → 2

Calls

Call 1

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

Calls

4 calls:

56.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
9.0ms	y
7.0ms	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
7.0ms	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)

Results

Accuracy	Segments	Branch
87.3%	2	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
87.3%	2	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
85.6%	1	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
85.6%	1	`y`

Compiler

Compiled 29 to 34 computations (-17.2% saved)

regimes85.0ms (0.4%)

Memory

-8.2MiB live, 111.8MiB allocated

Counts

28 → 2

Calls

Call 1

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

Calls

9 calls:

21.0ms	z
11.0ms	y
8.0ms	t
8.0ms	x
8.0ms	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))

Results

Accuracy	Segments	Branch
82.9%	2	`(exp.f64 z)`
82.9%	2	`z`
76.2%	1	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
79.3%	2	`x`
78.7%	2	`y`
79.5%	3	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
76.2%	1	`t`
79.0%	2	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
79.0%	2	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`

Compiler

Compiled 47 to 63 computations (-34% saved)

regimes47.0ms (0.2%)

Memory

20.8MiB live, 60.0MiB allocated

Counts

26 → 2

Calls

Call 1

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

Outputs

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

Calls

6 calls:

11.0ms	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
7.0ms	y
7.0ms	x
7.0ms	z
6.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))

Results

Accuracy	Segments	Branch
76.2%	1	`y`
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	`x`
78.0%	2	`z`
78.0%	2	`(exp.f64 z)`

Compiler

Compiled 22 to 36 computations (-63.6% saved)

regimes24.0ms (0.1%)

Memory

8.5MiB live, 44.9MiB allocated

Accuracy

Total -17.5b remaining (-115.1%)

Threshold costs -17.5b (-115.1%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	z
5.0ms	x
5.0ms	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
4.0ms	(exp.f64 z)

Results

Accuracy	Segments	Branch
76.2%	1	`x`
76.2%	1	`(-.f64 x (/.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	`z`

Compiler

Compiled 17 to 25 computations (-47.1% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	1.000032441804998
0.0ms	0.0	0.9999999999999964

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	1.0	1.000032441804998
0.0ms	0.0	0.9999999999999964

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	1.000032441804998
0.0ms	0.0	0.9999999999999964

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch2.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.000032441804998	503126.25
0.0ms	0.0	0.9999999999999964

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch1.0ms (0%)

Memory

-36.3MiB live, 1.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.1704120498111296e-196	2.572479023367701e-182

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch48.0ms (0.3%)

Memory

26.2MiB live, 71.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
45.0ms	-1.3127612039198638e+115	-7.2627723516740895e+112

Samples

35.0ms	86×	1	valid
2.0ms	10×	1	invalid
2.0ms	26×	0	valid
0.0ms	6×	0	invalid

Compiler

Compiled 149 to 166 computations (-11.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-exp: 12.0ms (41.2% of total)

ival-log: 7.0ms (24% of total)

ival-sub: 2.0ms (6.9% of total)

adjust: 2.0ms (6.9% of total)

ival-div: 2.0ms (6.9% of total)

ival-mult: 2.0ms (6.9% of total)

ival-add: 1.0ms (3.4% of total)

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

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

exact: 0.0ms (0% of total)

bsearch93.0ms (0.5%)

Memory

-18.5MiB live, 94.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
90.0ms	-1.057780899980875e+131	-3.6682747284125566e+124

Samples

42.0ms	17×	1	invalid
37.0ms	92×	1	valid
4.0ms	52×	0	valid
0.0ms	3×	0	invalid

Compiler

Compiled 187 to 208 computations (-11.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-mult: 40.0ms (52.3% of total)

ival-exp: 16.0ms (20.9% of total)

ival-log: 11.0ms (14.4% of total)

ival-sub: 3.0ms (3.9% of total)

adjust: 3.0ms (3.9% of total)

ival-div: 2.0ms (2.6% of total)

ival-add: 1.0ms (1.3% 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

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.535854886213645e+98	1.5524546737710812e+108

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch42.0ms (0.2%)

Memory

0.5MiB live, 78.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
37.0ms	-0.057347532855947465	-2.1093786469191047e-16

Samples

16.0ms	119×	0	valid
12.0ms	41×	1	valid
2.0ms	20×	0	invalid

Compiler

Compiled 246 to 269 computations (-9.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-log: 12.0ms (51.4% of total)

ival-exp: 3.0ms (12.8% of total)

ival-sub: 2.0ms (8.6% of total)

ival-div: 2.0ms (8.6% of total)

ival-mult: 2.0ms (8.6% of total)

ival-add: 1.0ms (4.3% of total)

adjust: 1.0ms (4.3% of total)

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

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

exact: 0.0ms (0% of total)

bsearch45.0ms (0.2%)

Memory

-4.3MiB live, 116.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
37.0ms	-4.2632100007659775e-33	-6.874988233647285e-38

Samples

25.0ms	66×	1	valid
5.0ms	17×	1	invalid
3.0ms	30×	0	valid

Compiler

Compiled 160 to 163 computations (-1.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-log: 11.0ms (39.7% of total)

ival-exp: 9.0ms (32.5% of total)

ival-sub: 2.0ms (7.2% of total)

adjust: 2.0ms (7.2% of total)

ival-div: 1.0ms (3.6% of total)

ival-mult: 1.0ms (3.6% of total)

ival-add: 1.0ms (3.6% of total)

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

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

exact: 0.0ms (0% of total)

simplify65.0ms (0.3%)

Memory

25.1MiB live, 103.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	112	703
1	153	703
2	213	703
3	257	703
4	288	703
5	386	703
6	542	703
7	544	703

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) #s(approx (- x (/ (log (+ (- 1 y) ( y (exp z)))) t)) (fma.f64 (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (.f64 z y))) (.f64 x t)) (neg.f64 x) x)) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 1 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))))))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) #s(approx (- x (/ (log (+ (- 1 y) ( y (exp z)))) t)) (fma.f64 (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (.f64 z y))) (.f64 x t)) (neg.f64 x) x)) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 1 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) t))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) #s(approx (- x (/ (log (+ (- 1 y) ( y (exp z)))) t)) (fma.f64 (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (.f64 z y))) (.f64 x t)) (neg.f64 x) x)) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 1 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (*.f64 (expm1.f64 z) y))) t))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) #s(approx (- x (/ (log (+ (- 1 y) ( y (exp z)))) t)) (fma.f64 (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (.f64 z y))) (.f64 x t)) (neg.f64 x) x)) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 2 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (/.f64 (expm1.f64 z) t) y))) #s(approx (- x (/ (log (+ (- 1 y) ( y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))))
(if (<=.f64 (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) t) #s(literal 4208108721238699/21040543606193494028963959531520514662201359211292695437993123612274928617188323288454666145110353804907931875424712870852077729000735215452511259082607523399820894684513778392766655031537290869085173006943125504 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (/.f64 (expm1.f64 z) t) y))) #s(approx (- x (/ (log (+ (- 1 y) ( y (exp z)))) t)) (fma.f64 (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (.f64 z y))) (.f64 x t)) (neg.f64 x) x)))
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(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 999999999999999967336168804116691273849533185806555472917961779471295845921727862608739868455469056 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) #s(literal 1 binary64))) t)))
(if (<=.f64 z #s(literal -662929865148937/72057594037927936 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t)) z)) y))))
(if (<=.f64 z #s(literal -3507603929594167/2923003274661805836407369665432566039311865085952 binary64)) (-.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 #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t)) z)) y))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))

Outputs
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(if (<=.f64 (+.f64 (.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)) #s(approx (- x (/ (log (+ (- 1 y) ( y (exp z)))) t)) (fma.f64 (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (.f64 z y))) (.f64 t x)) (neg.f64 x) x)) (if (<=.f64 (+.f64 (.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))))))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) #s(approx (- x (/ (log (+ (- 1 y) ( y (exp z)))) t)) (fma.f64 (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (.f64 z y))) (.f64 x t)) (neg.f64 x) x)) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 1 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) t))))
(if (<=.f64 (+.f64 (.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)) #s(approx (- x (/ (log (+ (- 1 y) ( y (exp z)))) t)) (fma.f64 (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (.f64 z y))) (.f64 t x)) (neg.f64 x) x)) (if (<=.f64 (+.f64 (.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 (+.f64 (.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y))) t))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) #s(approx (- x (/ (log (+ (- 1 y) ( y (exp z)))) t)) (fma.f64 (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (.f64 z y))) (.f64 x t)) (neg.f64 x) x)) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 1 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (*.f64 (expm1.f64 z) y))) t))))
(if (<=.f64 (+.f64 (.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)) #s(approx (- x (/ (log (+ (- 1 y) ( y (exp z)))) t)) (fma.f64 (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (.f64 z y))) (.f64 t x)) (neg.f64 x) x)) (if (<=.f64 (+.f64 (.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (*.f64 (expm1.f64 z) y))) t))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) #s(approx (- x (/ (log (+ (- 1 y) ( y (exp z)))) t)) (fma.f64 (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (.f64 z y))) (.f64 x t)) (neg.f64 x) x)) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 2 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (/.f64 (expm1.f64 z) t) y))) #s(approx (- x (/ (log (+ (- 1 y) ( y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))))
(if (<=.f64 (+.f64 (.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)) #s(approx (- x (/ (log (+ (- 1 y) ( y (exp z)))) t)) (fma.f64 (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (.f64 z y))) (.f64 t x)) (neg.f64 x) x)) (if (<=.f64 (+.f64 (.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (/.f64 (expm1.f64 z) t) y))) #s(approx (- x (/ (log (+ (- 1 y) ( y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))))
(if (<=.f64 (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) t) #s(literal 4208108721238699/21040543606193494028963959531520514662201359211292695437993123612274928617188323288454666145110353804907931875424712870852077729000735215452511259082607523399820894684513778392766655031537290869085173006943125504 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (/.f64 (expm1.f64 z) t) y))) #s(approx (- x (/ (log (+ (- 1 y) ( y (exp z)))) t)) (fma.f64 (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (.f64 z y))) (.f64 x t)) (neg.f64 x) x)))
(if (<=.f64 (/.f64 (log.f64 (+.f64 (.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y))) t) #s(literal 4208108721238699/21040543606193494028963959531520514662201359211292695437993123612274928617188323288454666145110353804907931875424712870852077729000735215452511259082607523399820894684513778392766655031537290869085173006943125504 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (/.f64 (expm1.f64 z) t) y))) #s(approx (- x (/ (log (+ (- 1 y) ( y (exp z)))) t)) (fma.f64 (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (.f64 z y))) (.f64 t x)) (neg.f64 x) x)))
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(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 999999999999999967336168804116691273849533185806555472917961779471295845921727862608739868455469056 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) #s(literal 1 binary64))) t)))
(if (<=.f64 (+.f64 (.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 999999999999999967336168804116691273849533185806555472917961779471295845921727862608739868455469056 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) #s(literal 1 binary64))) t)))
(if (<=.f64 z #s(literal -662929865148937/72057594037927936 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t)) z)) y))))
(if (<=.f64 z #s(literal -3507603929594167/2923003274661805836407369665432566039311865085952 binary64)) (-.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 #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t)) z)) y))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))

soundness1.4s (7.2%)

Memory

-11.0MiB live, 1 109.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	726	13087
1	2395	12705
2	7878	12559
0	8240	10123
0	335	2420
1	1012	2316
2	3176	2227
0	8212	1752
0	542	12227
1	1746	11760
2	5583	11363
0	8178	9110
0	48	408
0	82	408
1	343	408
2	2814	408
0	8904	393
0	705	14024
1	2304	13289
2	7715	13205
0	8082	10489
0	12	45
0	19	45
1	73	45
2	593	45
3	7204	45
0	8984	38

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×	node limit

Compiler

Compiled 630 to 374 computations (40.6% saved)

preprocess140.0ms (0.7%)

Memory: -1.4MiB live, 196.8MiB allocated
Compiler: Compiled 906 to 278 computations (69.3% 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%)

analyze366.0ms (1.9%)

sample8.3s (43.6%)

explain444.0ms (2.3%)

preprocess294.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify36.0ms (0.2%)

localize153.0ms (0.8%)

series315.0ms (1.7%)

simplify662.0ms (3.5%)

rewrite199.0ms (1%)

eval62.0ms (0.3%)

prune79.0ms (0.4%)

simplify207.0ms (1.1%)

localize365.0ms (1.9%)

series151.0ms (0.8%)

simplify474.0ms (2.5%)

rewrite219.0ms (1.2%)

eval197.0ms (1%)

prune116.0ms (0.6%)

simplify199.0ms (1%)

localize525.0ms (2.8%)

series310.0ms (1.6%)

simplify246.0ms (1.3%)

rewrite241.0ms (1.3%)

eval223.0ms (1.2%)

prune56.0ms (0.3%)

simplify204.0ms (1.1%)

localize446.0ms (2.3%)

series290.0ms (1.5%)

simplify205.0ms (1.1%)

rewrite217.0ms (1.1%)

eval166.0ms (0.9%)

prune231.0ms (1.2%)

regimes291.0ms (1.5%)

regimes50.0ms (0.3%)

regimes72.0ms (0.4%)

regimes262.0ms (1.4%)

regimes52.0ms (0.3%)

regimes35.0ms (0.2%)

regimes21.0ms (0.1%)

regimes80.0ms (0.4%)

regimes85.0ms (0.4%)

regimes47.0ms (0.2%)

regimes24.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch48.0ms (0.3%)

bsearch93.0ms (0.5%)

bsearch1.0ms (0%)

bsearch42.0ms (0.2%)

bsearch45.0ms (0.2%)

simplify65.0ms (0.3%)

soundness1.4s (7.2%)

preprocess140.0ms (0.7%)

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