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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze382.0ms (2%)

Memory

24.7MiB live, 484.8MiB 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)

sample8.8s (46.2%)

Memory

43.8MiB live, 5 657.5MiB allocated

Samples

3.6s	4 458×	1	valid
1.1s	1 188×	5	exit
536.0ms	1 858×	0	invalid
520.0ms	3 798×	0	valid
238.0ms	627×	1	invalid
238.0ms	427×	4	exit

Precisions

Click to see histograms. Total time spent on operations: 5.1s

ival-log: 2.2s (43% of total)

ival-exp: 1.1s (21.6% of total)

ival-add: 443.0ms (8.7% of total)

ival-sub: 428.0ms (8.5% of total)

adjust: 380.0ms (7.5% of total)

ival-mult: 275.0ms (5.4% of total)

ival-div: 235.0ms (4.6% of total)

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

exact: 9.0ms (0.2% of total)

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

Bogosity

explain971.0ms (5.1%)

Memory

-4.8MiB live, 291.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
168	34	(-2.431220499074381e+141 -3.9328030787603604e-84 -1.440137700710124e-272 2.7337453926407467e+48)	0	-	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
74	2	(7.338361441656629e-233 -1949099058790.3723 5.34576086670255e-102 -1.170846267917501e+22)	0	-	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
17	0	-	2	(8.054266437588635e+136 5.788430144232601e-106 -7.253528572788671e-213 -1.5593171673371291e-99)	`(/.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	202	0
`+.f64`	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`	cancellation	36	1
`/.f64`	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`	u/n	5	0
↳	`(exp.f64 z)`	underflow	74
↳	`(*.f64 y (exp.f64 z))`	underflow	74
↳	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`	underflow	34

Confusion

	Predicted +	Predicted -
+	94	10
-	129	23

Precision

0.42152466367713004

Recall

0.9038461538461539

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	94	0	10
-	129	0	23

Precision?

0.42152466367713004

Recall?

0.9038461538461539

Freqs

test

number	freq
0	33
1	203
2	20

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

463.0ms	110×	2	valid
379.0ms	348×	1	valid
5.0ms	54×	0	valid

Compiler

Compiled 127 to 40 computations (68.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 592.0ms

ival-log: 304.0ms (51.3% of total)

adjust: 179.0ms (30.2% of total)

ival-exp: 78.0ms (13.2% of total)

ival-sub: 11.0ms (1.9% of total)

ival-div: 8.0ms (1.4% of total)

ival-mult: 7.0ms (1.2% of total)

ival-add: 5.0ms (0.8% of total)

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

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

exact: 0.0ms (0% of total)

preprocess271.0ms (1.4%)

Memory

15.3MiB live, 87.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 13 to 12 computations (7.7% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.6MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.8%	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify36.0ms (0.2%)

Memory

2.6MiB live, 38.2MiB 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)))

Rules

544×	`lower-fma.f64`
544×	`lower-fma.f32`
272×	`lower-*.f32`
270×	`lower-*.f64`
176×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize140.0ms (0.7%)

Memory

1.4MiB live, 206.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(*.f64 y (exp.f64 z))
accuracy	3.7420835871427816	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
accuracy	17.866807319866904	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
accuracy	38.46166795454316	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))

Samples

84.0ms	174×	1	valid
43.0ms	55×	2	valid
3.0ms	27×	0	valid

Compiler

Compiled 57 to 14 computations (75.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 101.0ms

ival-exp: 34.0ms (33.5% of total)

ival-log: 34.0ms (33.5% of total)

adjust: 11.0ms (10.8% of total)

ival-add: 8.0ms (7.9% of total)

ival-sub: 6.0ms (5.9% of total)

ival-div: 5.0ms (4.9% of total)

ival-mult: 3.0ms (3% of total)

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

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

exact: 0.0ms (0% of total)

series146.0ms (0.8%)

Memory

-20.6MiB live, 314.7MiB allocated

Counts

5 → 156

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
33.0ms	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)))
29.0ms	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)))
23.0ms	y	@	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)))
18.0ms	z	@	-inf	((+ (- 1 y) (* y (exp z))) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z)))
17.0ms	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)))

simplify229.0ms (1.2%)

Memory

-2.5MiB live, 307.8MiB allocated

Algorithm

1×	egg-herbie

Rules

15 880×	`lower-fma.f64`
15 880×	`lower-fma.f32`
6 656×	`lower-+.f64`
6 656×	`lower-+.f32`
5 266×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 149

Calls

Call 1

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

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

rewrite202.0ms (1.1%)

Memory

16.7MiB live, 206.9MiB allocated

Rules

6 580×	`lower-fma.f64`
6 580×	`lower-fma.f32`
4 130×	`lower-*.f32`
4 128×	`lower-*.f64`
3 042×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 287

Calls

Call 1

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

Outputs
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eval60.0ms (0.3%)

Memory: 28.2MiB live, 101.8MiB allocated
Compiler: Compiled 12 692 to 1 636 computations (87.1% saved)

prune55.0ms (0.3%)

Memory

-26.2MiB live, 73.8MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	421	15	436
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	422	15	437

Accuracy

100.0%

Counts

437 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	82.1%	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x)
▶	66.4%	(-.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))
	67.9%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)))) t))
	74.8%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
	37.2%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))
	72.7%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
	52.9%	(-.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))
	59.3%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t))
▶	83.9%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
	73.3%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
	82.0%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))))))
▶	85.0%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
▶	73.2%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
▶	60.7%	#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))
	28.0%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))

Compiler

Compiled 388 to 342 computations (11.9% saved)

simplify133.0ms (0.7%)

Memory

-11.9MiB live, 181.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

10 088×	`lower-fma.f32`
10 080×	`lower-fma.f64`
4 608×	`lower-*.f32`
4 594×	`lower-*.f64`
1 312×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	399
0	72	399
1	131	399
2	257	375
3	553	375
4	1405	369
5	4076	369
6	7729	369
0	8299	342

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

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

localize279.0ms (1.5%)

Memory

13.3MiB live, 289.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.08984375	(fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))
accuracy	3.7420835871427816	(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t)
accuracy	15.941569158062755	#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))
accuracy	38.46166795454316	(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64))))
accuracy	0.00390625	(expm1.f64 z)
accuracy	0.01171875	(*.f64 (expm1.f64 z) y)
accuracy	3.7420835871427816	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)
accuracy	13.005459110601004	#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))
accuracy	3.8593564224718526	(-.f64 (.f64 (/.f64 (.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t))
accuracy	5.224326667677684	(.f64 (-.f64 y (.f64 y y)) z)
accuracy	6.800920788560014	(/.f64 (.f64 (-.f64 y (.f64 y y)) z) t)
accuracy	20.784937285885114	#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))
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	4.974518606821942	(*.f64 (/.f64 y t) z)
accuracy	24.83331414680739	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))
accuracy	0.00390625	(expm1.f64 z)
accuracy	0.0078125	(/.f64 (expm1.f64 z) t)
accuracy	2.3177623154034412	(*.f64 (/.f64 (expm1.f64 z) t) y)
accuracy	12.949534006733202	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))

Samples

172.0ms	174×	1	valid
50.0ms	55×	2	valid
11.0ms	27×	0	valid

Compiler

Compiled 307 to 38 computations (87.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 193.0ms

ival-div: 39.0ms (20.2% of total)

adjust: 33.0ms (17.1% of total)

ival-log: 32.0ms (16.6% of total)

ival-add: 25.0ms (13% of total)

ival-mult: 24.0ms (12.5% of total)

ival-exp: 22.0ms (11.4% of total)

ival-sub: 10.0ms (5.2% of total)

const: 5.0ms (2.6% of total)

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

exact: 1.0ms (0.5% of total)

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

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

series196.0ms (1%)

Memory

-11.3MiB live, 265.4MiB allocated

Counts

24 → 804

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

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

Calls

12 calls:

Time	Variable		Point	Expression
58.0ms	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) (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (* (/ (* (- y (* y y)) z) t) -1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- (exp z) 1) (/ (* (- y (* y y)) z) t) (* (- y (* y y)) z) (+ (* 1/6 z) 1/2))
31.0ms	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) (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (* (/ (* (- y (* y y)) z) t) -1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- (exp z) 1) (/ (* (- y (* y y)) z) t) (* (- y (* y y)) z) (+ (* 1/6 z) 1/2))
24.0ms	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) (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (* (/ (* (- y (* y y)) z) t) -1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- (exp z) 1) (/ (* (- y (* y y)) z) t) (* (- y (* y y)) z) (+ (* 1/6 z) 1/2))
14.0ms	t	@	0	((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ y t) z) (/ y t) (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (* (/ (* (- y (* y y)) z) t) -1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- (exp z) 1) (/ (* (- y (* y y)) z) t) (* (- y (* y y)) z) (+ (* 1/6 z) 1/2))
10.0ms	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) (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (* (/ (* (- y (* y y)) z) t) -1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- (exp z) 1) (/ (* (- y (* y y)) z) t) (* (- y (* y y)) z) (+ (* 1/6 z) 1/2))

simplify456.0ms (2.4%)

Memory

-5.1MiB live, 340.5MiB allocated

Algorithm

1×	egg-herbie

Rules

13 096×	`lower-fma.f64`
13 096×	`lower-fma.f32`
5 562×	`lower-+.f64`
5 562×	`lower-+.f32`
5 050×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	526	11876
1	1681	11507
2	4989	11007
0	8678	9154

Stop Event

1×	iter limit
1×	node limit

Counts

804 → 767

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

rewrite292.0ms (1.5%)

Memory

12.8MiB live, 384.0MiB allocated

Rules

5 484×	`lower-*.f32`
5 470×	`lower-*.f64`
4 464×	`lower-/.f32`
4 454×	`lower-/.f64`
3 772×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	335
0	72	335
1	315	329
2	2615	329
0	9098	317

Stop Event

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

Counts

24 → 464

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

Outputs
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eval361.0ms (1.9%)

Memory: -19.3MiB live, 485.1MiB allocated
Compiler: Compiled 26 235 to 2 908 computations (88.9% saved)

prune169.0ms (0.9%)

Memory

2.0MiB live, 204.1MiB allocated

Pruning

29 alts after pruning (26 fresh and 3 done)

	Pruned	Kept	Total
New	1 285	18	1 303
Fresh	2	8	10
Picked	2	3	5
Done	0	0	0
Total	1 289	29	1 318

Accuracy

100.0%

Counts

1 318 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	82.1%	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x)
	16.7%	(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (/.f64 y t) z)) (+.f64 #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (/.f64 y t) z)) x) (.f64 x x))) (.f64 (fma.f64 #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (/.f64 y t) z)) (+.f64 #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (/.f64 y t) z)) x) (.f64 x x)) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 y t) z)) #s(literal 3 binary64)))) (.f64 (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 y t) z)) (+.f64 #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (/.f64 y t) z)) x) (.f64 x x)) (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 y t) z)) (+.f64 #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (/.f64 y t) z)) x) (.f64 x x))))
✓	66.4%	(-.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))
	66.4%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (.f64 y #s(approx (+ ( 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z))) z y) z #s(literal 1 binary64)))) t))
▶	67.9%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (.f64 y #s(approx (+ ( 1/6 z) 1/2) #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t))
	74.8%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
	37.2%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))
	72.7%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
	59.3%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t))
✓	83.9%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
	63.7%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (- (exp z) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) t))
	65.6%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (- (exp z) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) t))
	73.3%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
	82.0%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))))))
	66.4%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z #s(literal 1 binary64)))))))
	74.0%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y))))
	73.3%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y)))))
✓	73.2%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
	73.2%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) z)))
▶	73.6%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
	73.6%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y (.f64 (pow.f64 t #s(literal -1 binary64)) z))))
	68.3%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 (.f64 z y) t)))))
	69.7%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 #s(approx (* (/ (* (- y (* y y)) z) t) -1/2) (.f64 (.f64 (/.f64 (*.f64 z y) t) y) #s(literal 1/2 binary64))) (/.f64 y t)) z x))
	49.4%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 (fma.f64 (/.f64 z t) (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) y) t)) (.f64 y y))) z x))
	61.5%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 (.f64 (/.f64 (*.f64 z y) t) y) #s(literal 1/2 binary64))) z x))
	28.0%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
▶	59.3%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (/.f64 (.f64 (/.f64 (-.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) z) #s(literal -1/2 binary64)) y) t) z) x) x x)))
	8.2%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (.f64 (.f64 (*.f64 z (fma.f64 (/.f64 z t) (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) y) t))) y) y)))
▶	2.9%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (.f64 (.f64 y (/.f64 (.f64 (.f64 z z) y) t)) #s(literal 1/2 binary64))))

Compiler

Compiled 911 to 688 computations (24.5% saved)

simplify153.0ms (0.8%)

Memory

13.6MiB live, 167.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (.f64 y #s(approx (+ ( 1/6 z) 1/2) #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))
cost-diff	0	(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (.f64 y #s(approx (+ ( 1/6 z) 1/2) #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64))))
cost-diff	0	(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (.f64 y #s(approx (+ ( 1/6 z) 1/2) #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t)
cost-diff	0	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (.f64 y #s(approx (+ ( 1/6 z) 1/2) #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t))
cost-diff	0	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (/.f64 (.f64 (/.f64 (-.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) z) #s(literal -1/2 binary64)) y) t) z) x) x x)))
cost-diff	128	(.f64 (.f64 (-.f64 y (*.f64 y y)) z) #s(literal -1/2 binary64))
cost-diff	128	(-.f64 (.f64 (.f64 (-.f64 y (*.f64 y y)) z) #s(literal -1/2 binary64)) y)
cost-diff	1024	(fma.f64 (/.f64 (.f64 (/.f64 (-.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) z) #s(literal -1/2 binary64)) y) t) z) x) x x)
cost-diff	0	(.f64 y (/.f64 (.f64 (*.f64 z z) y) t))
cost-diff	0	(.f64 (.f64 y (/.f64 (.f64 (.f64 z z) y) t)) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (.f64 (.f64 y (/.f64 (.f64 (.f64 z z) y) t)) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (.f64 (.f64 y (/.f64 (.f64 (.f64 z z) y) t)) #s(literal 1/2 binary64))))
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	(log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))
cost-diff	0	(/.f64 #s(literal -1 binary64) t)
cost-diff	192	(fma.f64 (exp.f64 z) y (neg.f64 y))
cost-diff	192	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x)

Rules

8 146×	`lower-fma.f32`
8 136×	`lower-fma.f64`
5 192×	`lower-*.f32`
5 172×	`lower-*.f64`
1 322×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	584
0	101	576
1	182	567
2	350	564
3	813	558
4	2357	558
5	5910	558
0	8322	486

Stop Event

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

Calls

Call 1

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

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

localize423.0ms (2.2%)

Memory

4.9MiB live, 325.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	3.7420835871427816	(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (.f64 y #s(approx (+ ( 1/6 z) 1/2) #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t)
accuracy	15.941569158062755	#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (.f64 y #s(approx (+ ( 1/6 z) 1/2) #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))
accuracy	19.023981476359676	#s(approx (+ (* 1/6 z) 1/2) #s(literal 1/2 binary64))
accuracy	38.46166795454316	(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (.f64 y #s(approx (+ ( 1/6 z) 1/2) #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64))))
accuracy	3.8570521962256157	(fma.f64 (/.f64 (.f64 (/.f64 (-.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) z) #s(literal -1/2 binary64)) y) t) z) x) x x)
accuracy	4.725752866523782	(/.f64 (.f64 (/.f64 (-.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) z) #s(literal -1/2 binary64)) y) t) z) x)
accuracy	5.224326667677684	(.f64 (-.f64 y (.f64 y y)) z)
accuracy	20.784937285885114	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (/.f64 (.f64 (/.f64 (-.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) z) #s(literal -1/2 binary64)) y) t) z) x) x x)))
accuracy	6.765150379787203	(/.f64 (.f64 (.f64 z z) y) t)
accuracy	7.36852523870377	(.f64 (.f64 z z) y)
accuracy	20.784937285885114	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (.f64 (.f64 y (/.f64 (.f64 (.f64 z z) y) t)) #s(literal 1/2 binary64))))
accuracy	49.772257844192204	#s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (.f64 (.f64 y (/.f64 (.f64 (.f64 z z) y) t)) #s(literal 1/2 binary64)))
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	2.3177623154034412	(*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)
accuracy	12.949534006733202	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))
accuracy	18.20981847899816	#s(approx (/ (- (exp z) 1) t) (/.f64 z t))
accuracy	0	(exp.f64 z)
accuracy	0.00390625	(log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))
accuracy	1.0309273666282814	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x)
accuracy	33.478897634062015	(fma.f64 (exp.f64 z) y (neg.f64 y))

Samples

216.0ms	174×	1	valid
132.0ms	55×	2	valid
10.0ms	27×	0	valid

Compiler

Compiled 386 to 57 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 258.0ms

ival-mult: 64.0ms (24.8% of total)

const: 35.0ms (13.6% of total)

adjust: 33.0ms (12.8% of total)

ival-log: 31.0ms (12% of total)

ival-exp: 25.0ms (9.7% of total)

ival-div: 21.0ms (8.1% of total)

ival-log1p: 19.0ms (7.4% of total)

ival-add: 15.0ms (5.8% of total)

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

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

exact: 1.0ms (0.4% of total)

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

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

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

series414.0ms (2.2%)

Memory

-10.3MiB live, 250.2MiB allocated

Counts

26 → 852

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
68.0ms	z	@	-inf	((+ (* (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y))))) x) (+ (* (exp z) y) (neg y)) (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (* (* y (/ (* (* z z) y) t)) 1/2) (* y (/ (* (* z z) y) t)) (+ (* (/ (* (/ (- (* (* (- y (* y y)) z) -1/2) y) t) z) x) x) x) (- (* (* (- y (* y y)) z) -1/2) y) (* (* (- y (* y y)) z) -1/2) (- x (/ (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))) (exp z) (* (* z z) y) (/ (* (* z z) y) t) (* (- y (* y y)) z) (/ (* (/ (- (* (* (- y (* y y)) z) -1/2) y) t) z) x) (+ (* 1/6 z) 1/2))
66.0ms	x	@	0	((+ (* (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y))))) x) (+ (* (exp z) y) (neg y)) (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (* (* y (/ (* (* z z) y) t)) 1/2) (* y (/ (* (* z z) y) t)) (+ (* (/ (* (/ (- (* (* (- y (* y y)) z) -1/2) y) t) z) x) x) x) (- (* (* (- y (* y y)) z) -1/2) y) (* (* (- y (* y y)) z) -1/2) (- x (/ (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))) (exp z) (* (* z z) y) (/ (* (* z z) y) t) (* (- y (* y y)) z) (/ (* (/ (- (* (* (- y (* y y)) z) -1/2) y) t) z) x) (+ (* 1/6 z) 1/2))
32.0ms	t	@	0	((+ (* (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y))))) x) (+ (* (exp z) y) (neg y)) (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (* (* y (/ (* (* z z) y) t)) 1/2) (* y (/ (* (* z z) y) t)) (+ (* (/ (* (/ (- (* (* (- y (* y y)) z) -1/2) y) t) z) x) x) x) (- (* (* (- y (* y y)) z) -1/2) y) (* (* (- y (* y y)) z) -1/2) (- x (/ (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))) (exp z) (* (* z z) y) (/ (* (* z z) y) t) (* (- y (* y y)) z) (/ (* (/ (- (* (* (- y (* y y)) z) -1/2) y) t) z) x) (+ (* 1/6 z) 1/2))
31.0ms	t	@	inf	((+ (* (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y))))) x) (+ (* (exp z) y) (neg y)) (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (* (* y (/ (* (* z z) y) t)) 1/2) (* y (/ (* (* z z) y) t)) (+ (* (/ (* (/ (- (* (* (- y (* y y)) z) -1/2) y) t) z) x) x) x) (- (* (* (- y (* y y)) z) -1/2) y) (* (* (- y (* y y)) z) -1/2) (- x (/ (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))) (exp z) (* (* z z) y) (/ (* (* z z) y) t) (* (- y (* y y)) z) (/ (* (/ (- (* (* (- y (* y y)) z) -1/2) y) t) z) x) (+ (* 1/6 z) 1/2))
27.0ms	z	@	inf	((+ (* (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y))))) x) (+ (* (exp z) y) (neg y)) (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (* (* y (/ (* (* z z) y) t)) 1/2) (* y (/ (* (* z z) y) t)) (+ (* (/ (* (/ (- (* (* (- y (* y y)) z) -1/2) y) t) z) x) x) x) (- (* (* (- y (* y y)) z) -1/2) y) (* (* (- y (* y y)) z) -1/2) (- x (/ (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))) (exp z) (* (* z z) y) (/ (* (* z z) y) t) (* (- y (* y y)) z) (/ (* (/ (- (* (* (- y (* y y)) z) -1/2) y) t) z) x) (+ (* 1/6 z) 1/2))

simplify269.0ms (1.4%)

Memory

32.0MiB live, 384.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 600×	`lower-fma.f64`
7 600×	`lower-fma.f32`
5 926×	`lower-*.f64`
5 926×	`lower-*.f32`
2 780×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	628	12205
1	2037	11783
2	6254	11532
0	8457	9838

Stop Event

1×	iter limit
1×	node limit

Counts

852 → 810

Calls

Call 1

Inputs
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(/ (+ (* -1 (log (- (+ 1 (* y (exp z))) y))) (* t x)) t)
(/ (+ (* -1 (log (- (+ 1 (* y (exp z))) y))) (* t x)) t)
(/ (+ (* -1 (log (- (+ 1 (* y (exp z))) y))) (* t x)) t)
(/ -1 t)
(/ -1 t)
(/ -1 t)
(/ -1 t)
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (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)
(/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) t)
(/ (+ (* t x) (* z (- (* -1/2 (* z (- y (pow y 2)))) y))) t)
(/ (+ (* t x) (* z (- (* -1/2 (* z (- y (pow y 2)))) y))) t)
(/ (+ (* t x) (* z (- (* -1/2 (* z (- y (pow y 2)))) y))) t)
(* 1/2 (/ (* (pow y 2) (pow z 2)) t))
(* 1/2 (/ (* (pow y 2) (pow z 2)) t))
(* 1/2 (/ (* (pow y 2) (pow z 2)) t))
(* 1/2 (/ (* (pow y 2) (pow z 2)) t))
(/ (* (pow y 2) (pow z 2)) t)
(/ (* (pow y 2) (pow z 2)) t)
(/ (* (pow y 2) (pow z 2)) t)
(/ (* (pow y 2) (pow z 2)) t)
(/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) t)
(/ (+ (* t x) (* z (- (* -1/2 (* z (- y (pow y 2)))) y))) t)
(/ (+ (* t x) (* z (- (* -1/2 (* z (- y (pow y 2)))) y))) t)
(/ (+ (* t x) (* z (- (* -1/2 (* z (- y (pow y 2)))) y))) t)
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (* y (pow z 2)) t)
(/ (* y (pow z 2)) t)
(/ (* y (pow z 2)) t)
(/ (* y (pow z 2)) t)
(/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) (* t x))
(/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) (* t x))
(/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) (* t x))
(/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) (* t x))
x
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(/ -1 t)
(/ -1 t)
(/ -1 t)
(/ -1 t)
x
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (- (exp z) 1) t)
(/ (- (exp z) 1) t)
(/ (- (exp z) 1) t)
(/ (- (exp z) 1) t)
x
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
x
(+ x (/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) t))
(+ x (/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) t))
(+ x (/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) t))
(* 1/2 (/ (* (pow y 2) (pow z 2)) t))
(* 1/2 (/ (* (pow y 2) (pow z 2)) t))
(* 1/2 (/ (* (pow y 2) (pow z 2)) t))
(* 1/2 (/ (* (pow y 2) (pow z 2)) t))
(/ (* (pow y 2) (pow z 2)) t)
(/ (* (pow y 2) (pow z 2)) t)
(/ (* (pow y 2) (pow z 2)) t)
(/ (* (pow y 2) (pow z 2)) t)
x
(+ x (/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) t))
(+ x (/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) t))
(+ x (/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) t))
x
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
x
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (* y (pow z 2)) t)
(/ (* y (pow z 2)) t)
(/ (* y (pow z 2)) t)
(/ (* y (pow z 2)) t)
(/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) (* t x))
(/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) (* t x))
(/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) (* t x))
(/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) (* t x))
x
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(/ -1 t)
(/ -1 t)
(/ -1 t)
(/ -1 t)
x
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (- (exp z) 1) t)
(/ (- (exp z) 1) t)
(/ (- (exp z) 1) t)
(/ (- (exp z) 1) t)
x
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
x
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(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
x
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
x
(* x (+ 1 (/ (* z (- (* -1/2 (/ (* z (- y (pow y 2))) t)) (/ y t))) x)))
(* x (+ 1 (/ (* z (- (* -1/2 (/ (* z (- y (pow y 2))) t)) (/ y t))) x)))
(* x (+ 1 (/ (* z (- (* -1/2 (/ (* z (- y (pow y 2))) t)) (/ y t))) x)))
x
(* x (+ 1 (/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) (* t x))))
(* x (+ 1 (/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) (* t x))))
(* x (+ 1 (/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) (* t x))))
x
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
x
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) (* t x))
(/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) (* t x))
(/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) (* t x))
(/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) (* t x))
x
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
x
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
x
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
x
(* -1 (* x (- (* -1 (/ (* z (- (* -1/2 (/ (* z (- y (pow y 2))) t)) (/ y t))) x)) 1)))
(* -1 (* x (- (* -1 (/ (* z (- (* -1/2 (/ (* z (- y (pow y 2))) t)) (/ y t))) x)) 1)))
(* -1 (* x (- (* -1 (/ (* z (- (* -1/2 (/ (* z (- y (pow y 2))) t)) (/ y t))) x)) 1)))
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(* -1 (* x (- (* -1 (/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) (* t x))) 1)))
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(* -1 (* x (- (* -1 (/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) (* t x))) 1)))
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(* -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)))
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(* -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)))
(/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) (* t x))
(/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) (* t x))
(/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) (* t x))
(/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) (* t x))

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

rewrite222.0ms (1.2%)

Memory

-19.7MiB live, 333.3MiB allocated

Rules

6 486×	`lower-*.f32`
6 466×	`lower-*.f64`
5 170×	`lower-fma.f32`
5 160×	`lower-fma.f64`
4 268×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	440
0	101	434
1	430	425
2	3381	415
0	10010	371

Stop Event

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

Counts

26 → 345

Calls

Call 1

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

Outputs
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eval231.0ms (1.2%)

Memory: 1.3MiB live, 365.3MiB allocated
Compiler: Compiled 22 791 to 2 509 computations (89% saved)

prune69.0ms (0.4%)

Memory

10.6MiB live, 174.7MiB allocated

Pruning

36 alts after pruning (31 fresh and 5 done)

	Pruned	Kept	Total
New	1 139	16	1 155
Fresh	6	15	21
Picked	3	2	5
Done	0	3	3
Total	1 148	36	1 184

Accuracy

100.0%

Counts

1 184 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.4%	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (expm1.f64 z))) x)
	73.1%	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 z y) (.f64 #s(literal 1/6 binary64) y)) z (.f64 #s(literal 1/2 binary64) y)) z y) z))) x)
▶	98.4%	(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
✓	66.4%	(-.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))
	66.4%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (.f64 y #s(approx (+ ( 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z))) z y) z #s(literal 1 binary64)))) t))
✓	67.9%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (.f64 y #s(approx (+ ( 1/6 z) 1/2) #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t))
	74.8%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
▶	72.7%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
✓	83.9%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
	63.7%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (- (exp z) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) t))
	65.6%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (- (exp z) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) t))
▶	73.3%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
	82.0%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))))))
	67.8%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (.f64 #s(approx (+ ( 1/6 z) 1/2) #s(literal 1/2 binary64)) y) z y) z #s(literal 1 binary64)))))))
	74.0%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y))))
	73.3%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y)))))
✓	73.2%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
	73.2%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) z)))
✓	73.6%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
	73.6%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y (.f64 (pow.f64 t #s(literal -1 binary64)) z))))
	68.3%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 (.f64 z y) t)))))
▶	69.7%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 #s(approx (* (/ (* (- y (* y y)) z) t) -1/2) (.f64 (.f64 (/.f64 (*.f64 z y) t) y) #s(literal 1/2 binary64))) (/.f64 y t)) z x))
	61.5%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 (.f64 (/.f64 (*.f64 z y) t) y) #s(literal 1/2 binary64))) z x))
	28.0%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
	67.1%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) z) t) y x)))
	61.0%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (/.f64 (.f64 (/.f64 #s(approx (- ( (* (- y (* y y)) z) -1/2) y) (.f64 (.f64 (*.f64 z y) y) #s(literal 1/2 binary64))) t) z) x) x x)))
	71.7%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (/.f64 (.f64 (/.f64 #s(approx (- ( (* (- y (* y y)) z) -1/2) y) (neg.f64 y)) t) z) x) x x)))
	53.8%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (.f64 (/.f64 (fma.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) z) #s(literal -1/2 binary64) (neg.f64 y)) t) (.f64 z x)) (pow.f64 x #s(literal -1 binary64)) x)))
	69.8%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 #s(approx (/ (* (/ (- (* (* (- y (* y y)) z) -1/2) y) t) z) x) (*.f64 (/.f64 (neg.f64 y) x) (/.f64 z t))) x x)))
	56.2%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 #s(approx (/ (* (/ (- (* (* (- y (* y y)) z) -1/2) y) t) z) x) (.f64 (.f64 (fma.f64 (/.f64 (.f64 z (/.f64 z t)) x) #s(literal 1/2 binary64) (/.f64 (/.f64 (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) z) t) y) x)) y) y)) x x)))
	58.1%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 #s(approx (/ (* (/ (- (* (* (- y (* y y)) z) -1/2) y) t) z) x) (.f64 (.f64 y (/.f64 (/.f64 (.f64 (.f64 z z) y) t) x)) #s(literal 1/2 binary64))) x x)))
	3.0%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (.f64 (/.f64 (.f64 (.f64 (neg.f64 z) (.f64 y z)) y) (neg.f64 t)) #s(literal 1/2 binary64))))
▶	2.9%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (.f64 (/.f64 (.f64 (.f64 z z) y) t) (.f64 y #s(literal 1/2 binary64)))))
	6.6%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (.f64 (.f64 (fma.f64 (/.f64 (-.f64 y (.f64 y y)) t) #s(literal -1/2 binary64) (/.f64 (neg.f64 y) (.f64 t z))) z) z)))
	2.9%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (.f64 (.f64 y (.f64 y (/.f64 (.f64 z z) t))) #s(literal 1/2 binary64))))
	6.9%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) #s(approx (+ (* (/ (* (/ (- (* (* (- y (* y y)) z) -1/2) y) t) z) x) x) x) (.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) y) (neg.f64 z) (.f64 (.f64 z (/.f64 z t)) #s(literal 1/2 binary64))) (.f64 y y)))))

Compiler

Compiled 998 to 867 computations (13.1% saved)

simplify133.0ms (0.7%)

Memory

-4.3MiB live, 184.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

12 118×	`lower-fma.f32`
12 116×	`lower-fma.f64`
4 306×	`lower-*.f32`
4 290×	`lower-*.f64`
1 550×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	392
0	75	392
1	129	392
2	267	364
3	600	364
4	1393	360
5	3402	360
6	6889	360
0	8018	346

Stop Event

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

Calls

Call 1

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

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

localize332.0ms (1.7%)

Memory

-12.4MiB live, 558.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
accuracy	3.7420835871427816	(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)
accuracy	13.04734722513371	#s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))
accuracy	38.46166795454316	(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64)))
accuracy	3.8593564224718526	(-.f64 #s(approx (* (/ (* (- y (* y y)) z) t) -1/2) (.f64 (.f64 (/.f64 (*.f64 z y) t) y) #s(literal 1/2 binary64))) (/.f64 y t))
accuracy	4.2738224504899	(/.f64 (*.f64 z y) t)
accuracy	20.784937285885114	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 #s(approx (* (/ (* (- y (* y y)) z) t) -1/2) (.f64 (.f64 (/.f64 (*.f64 z y) t) y) #s(literal 1/2 binary64))) (/.f64 y t)) z x))
accuracy	25.65088588096292	#s(approx (* (/ (* (- y (* y y)) z) t) -1/2) (.f64 (.f64 (/.f64 (*.f64 z y) t) y) #s(literal 1/2 binary64)))
accuracy	6.765150379787203	(/.f64 (.f64 (.f64 z z) y) t)
accuracy	7.36852523870377	(.f64 (.f64 z z) y)
accuracy	20.784937285885114	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (.f64 (/.f64 (.f64 (.f64 z z) y) t) (.f64 y #s(literal 1/2 binary64)))))
accuracy	49.772257844192204	#s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (.f64 (/.f64 (.f64 (.f64 z z) y) t) (.f64 y #s(literal 1/2 binary64))))
accuracy	0	(*.f64 z y)
accuracy	0.00390625	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
accuracy	3.7420835871427816	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)
accuracy	25.728824295321918	#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))
accuracy	0.00390625	(log1p.f64 (*.f64 y (expm1.f64 z)))
accuracy	0.00390625	(expm1.f64 z)
accuracy	0.01171875	(*.f64 y (expm1.f64 z))
accuracy	3.7420835871427816	(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)

Samples

213.0ms	174×	1	valid
70.0ms	55×	2	valid
7.0ms	27×	0	valid

Compiler

Compiled 288 to 39 computations (86.5% saved)

Precisions

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

ival-mult: 80.0ms (36.1% of total)

ival-log: 46.0ms (20.8% of total)

ival-exp: 27.0ms (12.2% of total)

adjust: 17.0ms (7.7% of total)

ival-div: 15.0ms (6.8% of total)

ival-expm1: 14.0ms (6.3% of total)

ival-sub: 13.0ms (5.9% of total)

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

ival-log1p: 4.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

series401.0ms (2.1%)

Memory

24.7MiB live, 485.7MiB allocated

Counts

23 → 804

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
50.0ms	t	@	inf	((- x (/ (log (+ 1 (* y (- (exp z) 1)))) t)) (/ (log (+ 1 (* y (- (exp z) 1)))) t) (log (+ 1 (* y (- (exp z) 1)))) (* y (- (exp z) 1)) (- 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)) (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (* (/ (* (* z z) y) t) (* y 1/2)) (/ (* (* z z) y) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (* (/ (* (- y (* y y)) z) t) -1/2) (- 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) (* (* z z) y) (/ (* z y) t))
47.0ms	t	@	-inf	((- x (/ (log (+ 1 (* y (- (exp z) 1)))) t)) (/ (log (+ 1 (* y (- (exp z) 1)))) t) (log (+ 1 (* y (- (exp z) 1)))) (* y (- (exp z) 1)) (- 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)) (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (* (/ (* (* z z) y) t) (* y 1/2)) (/ (* (* z z) y) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (* (/ (* (- y (* y y)) z) t) -1/2) (- 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) (* (* z z) y) (/ (* z y) t))
39.0ms	t	@	0	((- x (/ (log (+ 1 (* y (- (exp z) 1)))) t)) (/ (log (+ 1 (* y (- (exp z) 1)))) t) (log (+ 1 (* y (- (exp z) 1)))) (* y (- (exp z) 1)) (- 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)) (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (* (/ (* (* z z) y) t) (* y 1/2)) (/ (* (* z z) y) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (* (/ (* (- y (* y y)) z) t) -1/2) (- 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) (* (* z z) y) (/ (* z y) t))
32.0ms	z	@	inf	((- x (/ (log (+ 1 (* y (- (exp z) 1)))) t)) (/ (log (+ 1 (* y (- (exp z) 1)))) t) (log (+ 1 (* y (- (exp z) 1)))) (* y (- (exp z) 1)) (- 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)) (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (* (/ (* (* z z) y) t) (* y 1/2)) (/ (* (* z z) y) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (* (/ (* (- y (* y y)) z) t) -1/2) (- 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) (* (* z z) y) (/ (* z y) t))
32.0ms	z	@	-inf	((- x (/ (log (+ 1 (* y (- (exp z) 1)))) t)) (/ (log (+ 1 (* y (- (exp z) 1)))) t) (log (+ 1 (* y (- (exp z) 1)))) (* y (- (exp z) 1)) (- 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)) (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (* (/ (* (* z z) y) t) (* y 1/2)) (/ (* (* z z) y) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (* (/ (* (- y (* y y)) z) t) -1/2) (- 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) (* (* z z) y) (/ (* z y) t))

simplify218.0ms (1.1%)

Memory

41.8MiB live, 295.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 468×	`lower-fma.f64`
8 468×	`lower-fma.f32`
4 830×	`lower-*.f64`
4 830×	`lower-*.f32`
4 166×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	560	12137
1	1748	11790
2	5224	11306
0	8729	9480

Stop Event

1×	iter limit
1×	node limit

Counts

804 → 761

Calls

Call 1

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

rewrite218.0ms (1.1%)

Memory

-53.0MiB live, 259.5MiB allocated

Rules

4 596×	`lower-*.f32`
4 580×	`lower-*.f64`
4 418×	`lower-/.f32`
4 406×	`lower-/.f64`
1 936×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	344
0	75	344
1	311	340
2	2575	340
0	8519	329

Stop Event

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

Counts

23 → 355

Calls

Call 1

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

Outputs
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eval176.0ms (0.9%)

Memory: 19.0MiB live, 249.4MiB allocated
Compiler: Compiled 21 401 to 2 093 computations (90.2% saved)

prune78.0ms (0.4%)

Memory

-13.8MiB live, 162.0MiB allocated

Pruning

36 alts after pruning (29 fresh and 7 done)

	Pruned	Kept	Total
New	1 133	9	1 142
Fresh	6	20	26
Picked	1	4	5
Done	2	3	5
Total	1 142	36	1 178

Accuracy

100.0%

Counts

1 178 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.4%	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (expm1.f64 z))) x)
	87.3%	(-.f64 x (/.f64 (-.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 z) y) #s(literal 3 binary64))) (log1p.f64 (.f64 (.f64 (expm1.f64 z) y) (-.f64 (.f64 (expm1.f64 z) y) #s(literal 1 binary64))))) t))
✓	98.4%	(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
	72.4%	(-.f64 x (/.f64 (log1p.f64 (.f64 y #s(approx (- (exp z) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)))) t))
	74.2%	(-.f64 x (/.f64 (log1p.f64 (.f64 y #s(approx (- (exp z) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)))) t))
	75.8%	(-.f64 x (/.f64 (log1p.f64 (.f64 y #s(approx (- (exp z) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)))) t))
	82.8%	(-.f64 x (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z y))) t))
	74.8%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
✓	72.7%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
✓	83.9%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
	63.7%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (- (exp z) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) t))
	65.6%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (- (exp z) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) t))
✓	73.3%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
	98.4%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))))
	67.8%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (.f64 #s(approx (+ ( 1/6 z) 1/2) #s(literal 1/2 binary64)) y) z y) z #s(literal 1 binary64)))))))
	73.3%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))))
	74.0%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y))))
✓	73.2%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
	73.2%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) z)))
✓	73.6%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
	73.6%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y (.f64 (pow.f64 t #s(literal -1 binary64)) z))))
	68.3%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 (.f64 z y) t)))))
✓	69.7%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 #s(approx (* (/ (* (- y (* y y)) z) t) -1/2) (.f64 (.f64 (/.f64 (*.f64 z y) t) y) #s(literal 1/2 binary64))) (/.f64 y t)) z x))
	61.5%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 (.f64 (/.f64 (*.f64 z y) t) y) #s(literal 1/2 binary64))) z x))
	28.0%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
	67.1%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) z) t) y x)))
	61.0%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (/.f64 (.f64 (/.f64 #s(approx (- ( (* (- y (* y y)) z) -1/2) y) (.f64 (.f64 (*.f64 z y) y) #s(literal 1/2 binary64))) t) z) x) x x)))
	71.7%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (/.f64 (.f64 (/.f64 #s(approx (- ( (* (- y (* y y)) z) -1/2) y) (neg.f64 y)) t) z) x) x x)))
	53.8%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (.f64 (/.f64 (fma.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) z) #s(literal -1/2 binary64) (neg.f64 y)) t) (.f64 z x)) (pow.f64 x #s(literal -1 binary64)) x)))
	69.8%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 #s(approx (/ (* (/ (- (* (* (- y (* y y)) z) -1/2) y) t) z) x) (*.f64 (/.f64 (neg.f64 y) x) (/.f64 z t))) x x)))
	56.2%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 #s(approx (/ (* (/ (- (* (* (- y (* y y)) z) -1/2) y) t) z) x) (.f64 (.f64 (fma.f64 (/.f64 (.f64 z (/.f64 z t)) x) #s(literal 1/2 binary64) (/.f64 (/.f64 (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) z) t) y) x)) y) y)) x x)))
	58.1%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 #s(approx (/ (* (/ (- (* (* (- y (* y y)) z) -1/2) y) t) z) x) (.f64 (.f64 y (/.f64 (/.f64 (.f64 (.f64 z z) y) t) x)) #s(literal 1/2 binary64))) x x)))
	2.9%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (/.f64 (.f64 (.f64 (.f64 (.f64 z z) y) #s(literal 1/2 binary64)) y) t)))
	6.6%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (.f64 (.f64 (fma.f64 (/.f64 (-.f64 y (.f64 y y)) t) #s(literal -1/2 binary64) (/.f64 (neg.f64 y) (.f64 t z))) z) z)))
	2.9%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (.f64 (.f64 y (/.f64 (.f64 z z) t)) (.f64 y #s(literal 1/2 binary64)))))
	6.9%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) #s(approx (+ (* (/ (* (/ (- (* (* (- y (* y y)) z) -1/2) y) t) z) x) x) x) (.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) y) (neg.f64 z) (.f64 (.f64 z (/.f64 z t)) #s(literal 1/2 binary64))) (.f64 y y)))))

Compiler

Compiled 1 492 to 821 computations (45% saved)

regimes141.0ms (0.7%)

Memory

23.6MiB live, 259.2MiB allocated

Counts

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

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

Calls

9 calls:

18.0ms	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
17.0ms	t
16.0ms	x
16.0ms	z
15.0ms	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)

Results

Accuracy	Segments	Branch
98.4%	1	`x`
98.4%	1	`y`
98.4%	1	`z`
98.4%	1	`t`
98.4%	1	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
98.4%	1	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
98.4%	1	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
98.4%	1	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
98.4%	1	`(exp.f64 z)`

Compiler

Compiled 47 to 63 computations (-34% saved)

regimes186.0ms (1%)

Memory

4.1MiB live, 162.7MiB allocated

Counts

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

Outputs

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

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

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

Calls

9 calls:

44.0ms	t
29.0ms	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
24.0ms	y
24.0ms	(exp.f64 z)
14.0ms	x

Results

Accuracy	Segments	Branch
86.6%	2	`x`
95.0%	3	`y`
92.7%	2	`z`
88.7%	3	`t`
93.9%	3	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
99.5%	5	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
99.8%	3	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
99.8%	3	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
92.0%	2	`(exp.f64 z)`

Compiler

Compiled 47 to 63 computations (-34% saved)

regimes130.0ms (0.7%)

Memory

3.2MiB live, 41.9MiB allocated

Counts

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

Outputs

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

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

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

Calls

3 calls:

105.0ms

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

11.0ms

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

11.0ms

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

Results

Accuracy	Segments	Branch
97.8%	5	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
95.9%	3	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
95.9%	3	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`

Compiler

Compiled 28 to 30 computations (-7.1% saved)

regimes139.0ms (0.7%)

Memory

-19.5MiB live, 96.9MiB allocated

Counts

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

7 calls:

46.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
40.0ms	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
13.0ms	(exp.f64 z)
10.0ms	y
10.0ms	z

Results

Accuracy	Segments	Branch
85.0%	1	`(exp.f64 z)`
85.0%	1	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
85.0%	1	`z`
85.0%	1	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
86.6%	2	`y`
87.7%	2	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
87.7%	2	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`

Compiler

Compiled 45 to 55 computations (-22.2% saved)

regimes166.0ms (0.9%)

Memory

-22.3MiB live, 160.7MiB allocated

Counts

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

Outputs

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

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

Calls

9 calls:

81.0ms	z
21.0ms	x
9.0ms	y
9.0ms	t
9.0ms	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))

Results

Accuracy	Segments	Branch
82.4%	2	`z`
77.3%	2	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
76.0%	2	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
82.4%	2	`(exp.f64 z)`
76.9%	2	`y`
80.8%	3	`x`
78.2%	3	`t`
79.6%	3	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
79.6%	3	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`

Compiler

Compiled 47 to 63 computations (-34% saved)

regimes117.0ms (0.6%)

Memory

23.5MiB live, 105.2MiB 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)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) z) t) y x)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 (.f64 z y) t)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y)))))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (.f64 (.f64 y (.f64 y (/.f64 (.f64 z z) t))) #s(literal 1/2 binary64))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (.f64 (.f64 y (/.f64 (.f64 z z) t)) (.f64 y #s(literal 1/2 binary64)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (.f64 (.f64 y (/.f64 (.f64 (.f64 z z) y) t)) #s(literal 1/2 binary64))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (.f64 (/.f64 (.f64 (.f64 z z) y) t) (.f64 y #s(literal 1/2 binary64)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (/.f64 (.f64 (.f64 (.f64 (.f64 z z) y) #s(literal 1/2 binary64)) y) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 (.f64 (/.f64 (*.f64 z y) t) y) #s(literal 1/2 binary64))) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (.f64 (/.f64 (.f64 (.f64 (neg.f64 z) (.f64 y z)) y) (neg.f64 t)) #s(literal 1/2 binary64))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 #s(approx (/ (* (/ (- (* (* (- y (* y y)) z) -1/2) y) t) z) x) (*.f64 (/.f64 (neg.f64 y) x) (/.f64 z t))) x x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (/.f64 (.f64 (/.f64 #s(approx (- ( (* (- y (* y y)) z) -1/2) y) (neg.f64 y)) t) z) x) x x)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (- (exp z) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (- (exp z) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 #s(approx (* (/ (* (- y (* y y)) z) t) -1/2) (.f64 (.f64 (/.f64 (*.f64 z y) t) y) #s(literal 1/2 binary64))) (/.f64 y t)) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 #s(approx (/ (* (/ (- (* (* (- y (* y y)) z) -1/2) y) t) z) x) (.f64 (.f64 y (/.f64 (/.f64 (.f64 (.f64 z z) y) t) x)) #s(literal 1/2 binary64))) x x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (/.f64 (.f64 (/.f64 #s(approx (- ( (* (- y (* y y)) z) -1/2) y) (.f64 (.f64 (*.f64 z y) y) #s(literal 1/2 binary64))) t) z) x) x x)))
#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))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (.f64 (.f64 (fma.f64 (/.f64 (-.f64 y (.f64 y y)) t) #s(literal -1/2 binary64) (/.f64 (neg.f64 y) (.f64 t z))) z) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (/.f64 (.f64 (/.f64 (-.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) z) #s(literal -1/2 binary64)) y) t) z) x) x x)))
(-.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))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) #s(approx (+ (* (/ (* (/ (- (* (* (- y (* y y)) z) -1/2) y) t) z) x) x) x) (.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) y) (neg.f64 z) (.f64 (.f64 z (/.f64 z t)) #s(literal 1/2 binary64))) (.f64 y y)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (.f64 (.f64 (*.f64 z (fma.f64 (/.f64 z t) (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) y) t))) y) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (.f64 (fma.f64 (/.f64 z t) (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) y) t)) (.f64 y y))) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 #s(approx (/ (* (/ (- (* (* (- y (* y y)) z) -1/2) y) t) z) x) (.f64 (.f64 (fma.f64 (/.f64 (.f64 z (/.f64 z t)) x) #s(literal 1/2 binary64) (/.f64 (/.f64 (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) z) t) y) x)) y) y)) x x)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y (.f64 (pow.f64 t #s(literal -1 binary64)) z))))

Outputs
(-.f64 x (/.f64 #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))))

Calls

9 calls:

33.0ms	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
24.0ms	z
9.0ms	x
9.0ms	y
9.0ms	t

Results

Accuracy	Segments	Branch
74.0%	1	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
74.0%	1	`t`
74.0%	1	`y`
74.0%	1	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
75.7%	2	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
75.7%	2	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
74.0%	1	`x`
74.0%	1	`z`
74.0%	1	`(exp.f64 z)`

Compiler

Compiled 47 to 63 computations (-34% saved)

regimes17.0ms (0.1%)

Memory

-33.6MiB live, 6.0MiB allocated

Counts

3 → 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))

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

Calls

2 calls:

15.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
1.0ms	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))

Results

Accuracy	Segments	Branch
75.7%	2	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
75.7%	2	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`

Compiler

Compiled 17 to 19 computations (-11.8% saved)

regimes13.0ms (0.1%)

Memory

21.7MiB live, 21.7MiB allocated

Counts

2 → 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)))

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

Calls

9 calls:

2.0ms	x
2.0ms	z
2.0ms	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
2.0ms	y
1.0ms	t

Results

Accuracy	Segments	Branch
73.6%	1	`y`
75.4%	2	`z`
73.6%	1	`t`
73.6%	1	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
73.6%	1	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
75.4%	2	`(exp.f64 z)`
73.6%	1	`x`
75.4%	2	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
75.4%	2	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`

Compiler

Compiled 47 to 63 computations (-34% saved)

regimes5.0ms (0%)

Memory

6.8MiB live, 6.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
73.6%	1	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
73.6%	1	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
73.6%	1	`z`
73.6%	1	`(exp.f64 z)`

Compiler

Compiled 20 to 28 computations (-40% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.000000000070313	2.399950825273338e+38
0.0ms	0.0	0.9999999999949412

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	2.399950825273338e+38	1.798097302790563e+59
0.0ms	0.0	0.9999999999949412

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.399950825273338e+38	1.798097302790563e+59

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9999999999692287

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9999999999949412

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9999999999949412

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9999999999692287

Compiler

Compiled 16 to 19 computations (-18.8% saved)

simplify95.0ms (0.5%)

Memory

-0.4MiB live, 39.3MiB allocated

Algorithm

1×	egg-herbie

Rules

54×	`+-commutative-binary64-+.f64`
52×	`sub-neg-binary64-neg.f64-+.f64--.f64`
46×	`-commutative-binary64-.f64`
32×	`neg-sub0-binary64--.f64-neg.f64`
32×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	437
1	120	437
2	166	437
3	198	437
4	220	437
5	226	437

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 (log1p.f64 #s(approx ( y (- (exp z) 1)) (.f64 z y))) t)) (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))) (-.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)) (-.f64 x (/.f64 (log1p.f64 #s(approx ( y (- (exp z) 1)) (.f64 z y))) t)) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 399999999999999990995239293824136118272 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 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 399999999999999990995239293824136118272 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) #s(literal 1 binary64))) t)))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) z) t) y x))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 z y)) t)) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (/.f64 z (/.f64 t y)))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 z y)) t)) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 (/.f64 y t) z))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 y t) z))) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))

Outputs
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 (log1p.f64 #s(approx ( y (- (exp z) 1)) (.f64 z y))) t)) (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))) (-.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)) (-.f64 x (/.f64 (log1p.f64 #s(approx ( y (- (exp z) 1)) (.f64 z y))) t)) (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))) (-.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)) (-.f64 x (/.f64 (log1p.f64 #s(approx ( y (- (exp z) 1)) (.f64 z y))) t)) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 399999999999999990995239293824136118272 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) #s(literal 1 binary64))) t))))
(if (<=.f64 (+.f64 (.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)) (-.f64 x (/.f64 (log1p.f64 #s(approx ( y (- (exp z) 1)) (.f64 z y))) t)) (if (<=.f64 (+.f64 (.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 399999999999999990995239293824136118272 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 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 399999999999999990995239293824136118272 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 399999999999999990995239293824136118272 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) #s(literal 1 binary64))) t)))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) z) t) y x))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 z y)) t)) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (/.f64 z (/.f64 t y)))))
(if (<=.f64 (+.f64 (.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 z y)) t)) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (/.f64 z (/.f64 t y)))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 z y)) t)) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 (/.f64 y t) z))))
(if (<=.f64 (+.f64 (.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 z y)) t)) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 (/.f64 y t) z))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 y t) z))) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))

soundness1.5s (7.6%)

Memory

1.6MiB live, 938.6MiB allocated

Rules

15 880×	`lower-fma.f64`
15 880×	`lower-fma.f32`
13 096×	`lower-fma.f64`
13 096×	`lower-fma.f32`
8 468×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	335	2420
1	1012	2316
2	3176	2227
0	8212	1752
0	560	12137
1	1748	11790
2	5224	11306
0	8729	9480
0	66	440
0	101	434
1	430	425
2	3381	415
0	10010	371
0	12	45
0	19	45
1	73	45
2	593	45
3	7204	45
0	8984	38
0	44	335
0	72	335
1	315	329
2	2615	329
0	9098	317
0	628	12205
1	2037	11783
2	6254	11532
0	8457	9838
0	526	11876
1	1681	11507
2	4989	11007
0	8678	9154

Stop Event

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

Compiler

Compiled 444 to 291 computations (34.5% saved)

preprocess106.0ms (0.6%)

Memory: -7.2MiB live, 198.3MiB allocated
Compiler: Compiled 594 to 214 computations (64% 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%)

analyze382.0ms (2%)

sample8.8s (46.2%)

explain971.0ms (5.1%)

preprocess271.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify36.0ms (0.2%)

localize140.0ms (0.7%)

series146.0ms (0.8%)

simplify229.0ms (1.2%)

rewrite202.0ms (1.1%)

eval60.0ms (0.3%)

prune55.0ms (0.3%)

simplify133.0ms (0.7%)

localize279.0ms (1.5%)

series196.0ms (1%)

simplify456.0ms (2.4%)

rewrite292.0ms (1.5%)

eval361.0ms (1.9%)

prune169.0ms (0.9%)

simplify153.0ms (0.8%)

localize423.0ms (2.2%)

series414.0ms (2.2%)

simplify269.0ms (1.4%)

rewrite222.0ms (1.2%)

eval231.0ms (1.2%)

prune69.0ms (0.4%)

simplify133.0ms (0.7%)

localize332.0ms (1.7%)

series401.0ms (2.1%)

simplify218.0ms (1.1%)

rewrite218.0ms (1.1%)

eval176.0ms (0.9%)

prune78.0ms (0.4%)

regimes141.0ms (0.7%)

regimes186.0ms (1%)

regimes130.0ms (0.7%)

regimes139.0ms (0.7%)

regimes166.0ms (0.9%)

regimes117.0ms (0.6%)

regimes17.0ms (0.1%)

regimes13.0ms (0.1%)

regimes5.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify95.0ms (0.5%)

soundness1.5s (7.6%)

preprocess106.0ms (0.6%)

end0.0ms (0%)

Profiling

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