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

analyze355.0ms (1.6%)

Memory

43.2MiB live, 497.5MiB 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)

sample8.0s (36.8%)

Memory

37.6MiB live, 5 845.2MiB allocated

Samples

3.7s	4 523×	1	valid
1.4s	3 733×	0	valid
970.0ms	1 214×	5	exit
215.0ms	396×	4	exit
200.0ms	1 827×	0	invalid
193.0ms	680×	1	invalid

Precisions

Click to see histograms. Total time spent on operations: 4.4s

ival-log: 2.3s (53.2% of total)

ival-exp: 584.0ms (13.3% of total)

ival-div: 473.0ms (10.8% of total)

adjust: 349.0ms (8% of total)

ival-sub: 290.0ms (6.6% of total)

ival-mult: 213.0ms (4.9% of total)

ival-add: 117.0ms (2.7% of total)

ival-true: 10.0ms (0.2% of total)

exact: 8.0ms (0.2% of total)

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

Bogosity

preprocess266.0ms (1.2%)

Memory

-5.8MiB live, 114.3MiB 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 y (expm1.f64 z))) t))

explain423.0ms (2%)

Memory

10.2MiB live, 479.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
157	55	(45958449403776.82 1.9097133157648582e-233 -3.362817385383326e-253 5.958359222406961e-176)	-	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
57	4	(-515511206151.10046 -299273278474.1869 9.351022931332857e-280 4.148756574785799)	-	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
23	0	-	-	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
0	0	-	-	`(-.f64 #s(literal 1 binary64) y)`
0	0	-	-	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
0	0	-	-	`t`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`z`
0	0	-	-	`y`
0	0	-	-	`(*.f64 y (exp.f64 z))`
0	0	-	-	`x`
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	209	0
`+.f64`	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`	cancellation	31	0
`/.f64`	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`	u/n	3	0
↳	`(exp.f64 z)`	underflow	76
↳	`(*.f64 y (exp.f64 z))`	underflow	76
↳	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`	underflow	55
`log.f64`	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`	oflow-rescue	3	0
↳	`(exp.f64 z)`	overflow	3
↳	`(*.f64 y (exp.f64 z))`	overflow	3
↳	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`	overflow	3

Confusion

	Predicted +	Predicted -
+	96	5
-	133	22

Precision

0.4192139737991266

Recall

0.9504950495049505

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	96	0	5
-	133	0	22

Precision?

0.4192139737991266

Recall?

0.9504950495049505

Freqs

test

number	freq
0	27
1	212
2	17

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

193.0ms	326×	1	valid
64.0ms	126×	2	valid
8.0ms	60×	0	valid

Compiler

Compiled 148 to 52 computations (64.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 230.0ms

ival-log: 71.0ms (30.9% of total)

ival-exp: 67.0ms (29.2% of total)

ival-mult: 46.0ms (20% of total)

adjust: 19.0ms (8.3% of total)

ival-div: 12.0ms (5.2% of total)

ival-sub: 10.0ms (4.4% of total)

ival-add: 5.0ms (2.2% of total)

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.9%	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify46.0ms (0.2%)

Memory

-35.1MiB live, 17.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

localize142.0ms (0.7%)

Memory

24.9MiB live, 217.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
✓	accuracy	91.7%	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
✓	accuracy	78.8%	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
✓	accuracy	43.2%	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))

Samples

89.0ms	163×	1	valid
32.0ms	63×	2	valid
3.0ms	30×	0	valid

Compiler

Compiled 57 to 14 computations (75.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 106.0ms

ival-log: 65.0ms (61.5% of total)

ival-exp: 18.0ms (17% of total)

adjust: 7.0ms (6.6% of total)

ival-sub: 6.0ms (5.7% of total)

ival-div: 4.0ms (3.8% of total)

ival-mult: 3.0ms (2.8% of total)

ival-add: 2.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

series102.0ms (0.5%)

Memory

-0.8MiB live, 224.5MiB allocated

Counts

4 → 132

Calls

Call 1

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

Outputs
#<alt 1>
#<alt (+ 1 (* y (- (exp z) 1)))>
#<alt (+ 1 (* y (- (exp z) 1)))>
#<alt (+ 1 (* y (- (exp z) 1)))>
#<alt (* y (- (exp z) 1))>
#<alt (* y (- (+ (exp z) (/ 1 y)) 1))>
#<alt (* y (- (+ (exp z) (/ 1 y)) 1))>
#<alt (* y (- (+ (exp z) (/ 1 y)) 1))>
#<alt (* -1 (* y (+ 1 (* -1 (exp z)))))>
#<alt (* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y))))>
#<alt (* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y))))>
#<alt (* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y))))>
#<alt 1>
#<alt (+ 1 (* y z))>
#<alt (+ 1 (* z (+ y (* 1/2 (* y z)))))>
#<alt (+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))))>
#<alt (- (+ 1 (* y (exp z))) y)>
#<alt (- (+ 1 (* y (exp z))) y)>
#<alt (- (+ 1 (* y (exp z))) y)>
#<alt (- (+ 1 (* y (exp z))) y)>
#<alt (- (+ 1 (* y (exp z))) y)>
#<alt (- (+ 1 (* y (exp z))) y)>
#<alt (- (+ 1 (* y (exp z))) y)>
#<alt (- (+ 1 (* y (exp z))) y)>
#<alt (* y (- (exp z) 1))>
#<alt (* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1))>
#<alt (* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1))>
#<alt (* 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))>
#<alt (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y))))>
#<alt (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1)))))>
#<alt (- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp z) 1) 2))))>
#<alt (- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp z) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp z) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp z) 1) 2)))))>
#<alt (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y))))>
#<alt (- (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) (/ 1 (* y (+ 1 (* -1 (exp z))))))>
#<alt (+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* 1/2 (/ 1 (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (+ 1 (* -1 (exp z))))) y))))>
#<alt (+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (/ 1/3 (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3))) (+ (/ 1/2 (* y (pow (+ 1 (* -1 (exp z))) 2))) (/ 1 (+ 1 (* -1 (exp z)))))) y))))>
#<alt (* y z)>
#<alt (* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2)))))))>
#<alt (* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2))))))))>
#<alt (* 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)))))))))))>
#<alt (log (- (+ 1 (* y (exp z))) y))>
#<alt (log (- (+ 1 (* y (exp z))) y))>
#<alt (log (- (+ 1 (* y (exp z))) y))>
#<alt (log (- (+ 1 (* y (exp z))) y))>
#<alt (log (- (+ 1 (* y (exp z))) y))>
#<alt (log (- (+ 1 (* y (exp z))) y))>
#<alt (log (- (+ 1 (* y (exp z))) y))>
#<alt (log (- (+ 1 (* y (exp z))) y))>
#<alt (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))>
#<alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t))>
#<alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t))>
#<alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))>
#<alt (* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))>
#<alt (* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))>
#<alt x>
#<alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))>
#<alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))>
#<alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))>
#<alt x>
#<alt (+ x (* y (- (/ 1 t) (/ (exp z) t))))>
#<alt (+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t))))>
#<alt (+ 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))))>
#<alt (- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t)))>
#<alt (- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))>
#<alt (- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))>
#<alt (- (+ x (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))))>
#<alt (- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))>
#<alt (- (+ x (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))>
#<alt (- (+ x (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))>
#<alt (- (+ x (* -1 (/ (- (* -1 (/ (+ (* 1/3 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 3))))) (* 1/2 (/ 1 (* t (pow (+ 1 (* -1 (exp z))) 2))))) y)) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))>
#<alt x>
#<alt (+ x (* -1 (/ (* y z) t)))>
#<alt (+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))))>
#<alt (+ 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))))>
#<alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t))>
#<alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t))>
#<alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t))>
#<alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t))>
#<alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t))>
#<alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t))>
#<alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t))>
#<alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t))>
#<alt (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))>
#<alt (/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)>
#<alt (/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)>
#<alt (/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)>
#<alt x>
#<alt (+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))>
#<alt (+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))>
#<alt (+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))>
#<alt x>
#<alt (+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))>
#<alt (+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))>
#<alt (+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t)))>
#<alt (* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t)))>
#<alt (* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) t)) (* 1/3 (/ (pow (- (exp z) 1) 3) t)))))) (/ (exp z) t)) (/ 1 t)))>
#<alt (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)>
#<alt (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))>
#<alt (- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))>
#<alt (- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))))>
#<alt (/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)>
#<alt (- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))>
#<alt (+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 2))))) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t)))>
#<alt (+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (/ 1/3 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3)))) (+ (/ 1/2 (* t (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (+ 1 (* -1 (exp z))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t)))>
#<alt (/ (* y z) t)>
#<alt (* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))>
#<alt (* 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)))>
#<alt (* 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)))>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>

Calls

33 calls:

Time	Variable		Point	Expression
31.0ms	z	@	inf	(log (+ (- 1 y) (* y (exp z))))
28.0ms	z	@	-inf	(log (+ (- 1 y) (* y (exp z))))
14.0ms	t	@	0	(/ (log (+ (- 1 y) (* y (exp z)))) t)
11.0ms	t	@	inf	(/ (log (+ (- 1 y) (* y (exp z)))) t)
4.0ms	x	@	0	(- x (/ (log (+ (- 1 y) (* y (exp z)))) t))

simplify504.0ms (2.3%)

Memory

24.5MiB live, 710.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	332	2266
1	1006	2162
2	3144	2115
0	8176	1646

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 126

Calls

Call 1

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

Outputs
1
#s(literal 1 binary64)
(+ 1 (* y (- (exp z) 1)))
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64))
(+ 1 (* y (- (exp z) 1)))
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64))
(+ 1 (* y (- (exp z) 1)))
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64))
(* y (- (exp z) 1))
(*.f64 y (expm1.f64 z))
(* y (- (+ (exp z) (/ 1 y)) 1))
(*.f64 y (+.f64 (expm1.f64 z) (/.f64 #s(literal 1 binary64) y)))
(* y (- (+ (exp z) (/ 1 y)) 1))
(*.f64 y (+.f64 (expm1.f64 z) (/.f64 #s(literal 1 binary64) y)))
(* y (- (+ (exp z) (/ 1 y)) 1))
(*.f64 y (+.f64 (expm1.f64 z) (/.f64 #s(literal 1 binary64) y)))
(* -1 (* y (+ 1 (* -1 (exp z)))))
(*.f64 y (expm1.f64 z))
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y))))
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64))
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y))))
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64))
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y))))
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* y z))
(fma.f64 y z #s(literal 1 binary64))
(+ 1 (* z (+ y (* 1/2 (* y z)))))
(fma.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y) #s(literal 1 binary64))
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))))
(fma.f64 z (fma.f64 (*.f64 y z) (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) #s(literal 1 binary64))
(- (+ 1 (* y (exp z))) y)
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64))
(- (+ 1 (* y (exp z))) y)
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64))
(- (+ 1 (* y (exp z))) y)
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64))
(- (+ 1 (* y (exp z))) y)
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64))
(- (+ 1 (* y (exp z))) y)
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64))
(- (+ 1 (* y (exp z))) y)
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64))
(- (+ 1 (* y (exp z))) y)
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64))
(- (+ 1 (* y (exp z))) y)
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64))
(* y (- (exp z) 1))
(*.f64 y (expm1.f64 z))
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1))
(.f64 y (.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) (expm1.f64 z) #s(literal 1 binary64)) (expm1.f64 z)))
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1))
(.f64 y (fma.f64 y (.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (fma.f64 (*.f64 y #s(literal 1/3 binary64)) (expm1.f64 z) #s(literal -1/2 binary64))) (expm1.f64 z)))
(* 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))
(.f64 y (fma.f64 y (fma.f64 y (.f64 (pow.f64 (expm1.f64 z) #s(literal 4 binary64)) (.f64 y #s(literal -1/4 binary64))) (.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (fma.f64 (*.f64 y #s(literal 1/3 binary64)) (expm1.f64 z) #s(literal -1/2 binary64)))) (expm1.f64 z)))
(+ (log (- (exp z) 1)) (* -1 (log (/ 1 y))))
(+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))
(+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1)))))
(+.f64 (log.f64 (expm1.f64 z)) (+.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 z)))))
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp z) 1) 2))))
(+.f64 (+.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 z)))) (+.f64 (log.f64 (expm1.f64 z)) (/.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (*.f64 y y)))))
(- (+ (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)))))
(+.f64 (log.f64 (expm1.f64 z)) (+.f64 (+.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 z)))) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) (.f64 y (.f64 y y)))) (/.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (.f64 y y))))))
(+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (neg.f64 (log.f64 (neg.f64 y))))
(- (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) (/ 1 (* y (+ 1 (* -1 (exp z))))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 z))) (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (neg.f64 (log.f64 (neg.f64 y)))))
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* 1/2 (/ 1 (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (+ 1 (* -1 (exp z))))) y))))
(-.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (neg.f64 (log.f64 (neg.f64 y)))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 z))) (/.f64 #s(literal 1/2 binary64) (*.f64 y (pow.f64 (neg.f64 (expm1.f64 z)) #s(literal 2 binary64))))) y))
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (/ 1/3 (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3))) (+ (/ 1/2 (* y (pow (+ 1 (* -1 (exp z))) 2))) (/ 1 (+ 1 (* -1 (exp z)))))) y))))
(-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (+.f64 (neg.f64 (log.f64 (neg.f64 y))) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 y (.f64 y (pow.f64 (neg.f64 (expm1.f64 z)) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 z))) (/.f64 #s(literal 1/2 binary64) (*.f64 y (pow.f64 (neg.f64 (expm1.f64 z)) #s(literal 2 binary64)))))) y)))
(* y z)
(*.f64 y z)
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2)))))))
(.f64 z (fma.f64 z (.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y)) y))
(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2))))))))
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(* z (+ y (* z (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* z (+ (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))
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(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
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(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
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rewrite455.0ms (2.1%)

Memory

-29.2MiB live, 566.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	41
0	19	41
1	73	41
2	593	41
3	7204	41
0	8984	34

Stop Event

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

Counts

4 → 281

Calls

Call 1

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

Outputs
(+.f64 #s(literal 1 binary64) (fma.f64 y (exp.f64 z) (neg.f64 y)))
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
(+.f64 (*.f64 y (exp.f64 z)) (-.f64 #s(literal 1 binary64) y))
(+.f64 (neg.f64 y) (fma.f64 y (exp.f64 z) #s(literal 1 binary64)))
(+.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))) (neg.f64 (/.f64 (.f64 (*.f64 y y) (exp.f64 (+.f64 z z))) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)))))
(+.f64 (fma.f64 y (exp.f64 z) #s(literal 1 binary64)) (neg.f64 y))
(+.f64 (fma.f64 y (exp.f64 z) (neg.f64 y)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) (neg.f64 y) y))
(-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (exp.f64 z) (neg.f64 y)))
(-.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))) (/.f64 (.f64 (*.f64 y y) (exp.f64 (+.f64 z z))) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) (-.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) (*.f64 y (exp.f64 z))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (-.f64 (/.f64 (.f64 y y) (+.f64 #s(literal 1 binary64) y)) (.f64 y (exp.f64 z))))
(-.f64 (fma.f64 y (exp.f64 z) #s(literal 1 binary64)) y)
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (exp.f64 z) (neg.f64 y) y) (fma.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 (exp.f64 z) (neg.f64 y) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 (exp.f64 z) (neg.f64 y) y) (fma.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 (.f64 (.f64 y y) (exp.f64 (+.f64 z z))) (-.f64 (.f64 y (exp.f64 z)) (-.f64 #s(literal 1 binary64) y))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (-.f64 (*.f64 y (exp.f64 z)) (-.f64 #s(literal 1 binary64) y))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 (exp.f64 z) (neg.f64 y) y) #s(literal 2 binary64)) (fma.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 1 binary64))))
(-.f64 (fma.f64 y (exp.f64 z) (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1 binary64) y)))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))))
(-.f64 (fma.f64 y (exp.f64 z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)))
(-.f64 (+.f64 (fma.f64 y (exp.f64 z) #s(literal 1 binary64)) #s(literal 0 binary64)) y)
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z)) (-.f64 #s(literal 1 binary64) y))
(fma.f64 #s(literal 1 binary64) (neg.f64 y) (fma.f64 y (exp.f64 z) #s(literal 1 binary64)))
(fma.f64 y (exp.f64 z) (-.f64 #s(literal 1 binary64) y))
(fma.f64 y #s(literal -1 binary64) (fma.f64 y (exp.f64 z) #s(literal 1 binary64)))
(fma.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))
(fma.f64 y (*.f64 #s(literal 1 binary64) (exp.f64 z)) (-.f64 #s(literal 1 binary64) y))
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64) (*.f64 y (exp.f64 z)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))) (neg.f64 (/.f64 (.f64 (.f64 y y) (exp.f64 (+.f64 z z))) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)))))
(fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))
(fma.f64 (*.f64 y (exp.f64 z)) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))
(fma.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))) (neg.f64 (/.f64 (.f64 (*.f64 y y) (exp.f64 (+.f64 z z))) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)))))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) (*.f64 y (exp.f64 z)))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (.f64 y (exp.f64 z)))
(fma.f64 (neg.f64 y) #s(literal 1 binary64) (fma.f64 y (exp.f64 z) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (.f64 y (exp.f64 z)))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (*.f64 y (exp.f64 z)))
(fma.f64 #s(literal -1 binary64) y (fma.f64 y (exp.f64 z) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 z) (neg.f64 y) y) #s(literal 1 binary64))
(fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (+.f64 #s(literal 1 binary64) y)))) (*.f64 y (exp.f64 z)))
(fma.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 y) #s(literal -1 binary64))) (.f64 y (exp.f64 z)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (*.f64 y (exp.f64 z)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 y (exp.f64 z)))
(fma.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 y (exp.f64 z)))
(fma.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) (.f64 y (exp.f64 z)))
(fma.f64 (*.f64 (exp.f64 z) #s(literal 1 binary64)) y (-.f64 #s(literal 1 binary64) y))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (-.f64 #s(literal 1 binary64) (.f64 y y))) (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
(fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (fma.f64 (.f64 y (neg.f64 y)) (exp.f64 (+.f64 z z)) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) (fma.f64 y (exp.f64 z) (-.f64 #s(literal 1 binary64) y)) (neg.f64 (/.f64 (.f64 (*.f64 y y) (exp.f64 (+.f64 z z))) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (-.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (.f64 (.f64 y (.f64 y y)) (exp.f64 (.f64 z #s(literal 3 binary64)))))) (fma.f64 (.f64 y (exp.f64 z)) (fma.f64 y (exp.f64 z) (-.f64 #s(literal 1 binary64) y)) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (neg.f64 (/.f64 (.f64 (*.f64 y y) (exp.f64 (+.f64 z z))) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (fma.f64 (fma.f64 y y y) (.f64 (fma.f64 y y y) (fma.f64 y y y)) #s(literal 1 binary64))) (fma.f64 (fma.f64 y y y) (-.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 y (exp.f64 z)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 y y y) (fma.f64 y y y)))) (-.f64 #s(literal 1 binary64) (fma.f64 y y y)) (.f64 y (exp.f64 z)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (fma.f64 y (.f64 y y) #s(literal 1 binary64))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (*.f64 y (exp.f64 z)))
(neg.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (.f64 (.f64 y (.f64 y y)) (exp.f64 (.f64 z #s(literal 3 binary64))))) (neg.f64 (fma.f64 (.f64 y y) (exp.f64 (+.f64 z z)) (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)))))))
(neg.f64 (/.f64 (fma.f64 (.f64 y (neg.f64 y)) (exp.f64 (+.f64 z z)) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (neg.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (.f64 (.f64 y (.f64 y y)) (exp.f64 (.f64 z #s(literal 3 binary64)))))) (fma.f64 (.f64 y y) (exp.f64 (+.f64 z z)) (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 y (neg.f64 y)) (exp.f64 (+.f64 z z)) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (exp.f64 z) (-.f64 #s(literal 1 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (exp.f64 z) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (exp.f64 z) (neg.f64 y) y) (fma.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 z) (neg.f64 y) y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y (exp.f64 z)) (-.f64 #s(literal 1 binary64) y)) (fma.f64 (.f64 y y) (exp.f64 (+.f64 z z)) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 z) (neg.f64 y) y) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (.f64 (.f64 y (.f64 y y)) (exp.f64 (.f64 z #s(literal 3 binary64))))) (fma.f64 (.f64 y y) (exp.f64 (+.f64 z z)) (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (.f64 y (neg.f64 y)) (exp.f64 (+.f64 z z)) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (exp.f64 z) (-.f64 #s(literal 1 binary64) y)))))
(/.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (.f64 (.f64 y (.f64 y y)) (exp.f64 (.f64 z #s(literal 3 binary64)))))) (neg.f64 (fma.f64 (.f64 y y) (exp.f64 (+.f64 z z)) (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 y (neg.f64 y)) (exp.f64 (+.f64 z z)) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) (neg.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) (pow.f64 (.f64 y (exp.f64 z)) #s(literal 9 binary64))) (.f64 (fma.f64 (.f64 y y) (exp.f64 (+.f64 z z)) (.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)))) (fma.f64 (.f64 (.f64 y (.f64 y y)) (exp.f64 (.f64 z #s(literal 3 binary64)))) (-.f64 (.f64 (.f64 y (.f64 y y)) (exp.f64 (.f64 z #s(literal 3 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 z) (neg.f64 y) y) #s(literal 3 binary64))) (fma.f64 (fma.f64 (exp.f64 z) (neg.f64 y) y) (fma.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) (pow.f64 (.f64 y (exp.f64 z)) #s(literal 6 binary64))) (.f64 (fma.f64 (.f64 y y) (exp.f64 (+.f64 z z)) (.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)))) (-.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (.f64 (.f64 y (.f64 y y)) (exp.f64 (*.f64 z #s(literal 3 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) (pow.f64 (.f64 y (exp.f64 z)) #s(literal 6 binary64))) (.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 y y) (exp.f64 (+.f64 z z))) (fma.f64 (.f64 y y) (exp.f64 (+.f64 z z)) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))))
(/.f64 (fma.f64 (.f64 y y) (exp.f64 (+.f64 z z)) (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) (-.f64 (*.f64 y (exp.f64 z)) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 z) (neg.f64 y) y) #s(literal 2 binary64))) (fma.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (pow.f64 (.f64 y (exp.f64 z)) #s(literal 4 binary64))) (.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (fma.f64 (.f64 y y) (exp.f64 (+.f64 z z)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))) (.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (.f64 (.f64 y y) (exp.f64 (+.f64 z z))))) (.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (.f64 (.f64 y (.f64 y y)) (exp.f64 (.f64 z #s(literal 3 binary64))))))) (neg.f64 (neg.f64 (fma.f64 (.f64 y y) (exp.f64 (+.f64 z z)) (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 y (neg.f64 y)) (exp.f64 (+.f64 z z)) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)))))
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(/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)) (.f64 x x)))) (fma.f64 x (.f64 x x) (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)))) (+.f64 (fma.f64 x (.f64 x (.f64 x x)) (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 x t) (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y)))) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)))) (fma.f64 x x (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 2 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)))
(.f64 (-.f64 (.f64 x (.f64 x x)) (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)) (.f64 x x))))
(.f64 (fma.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)) (.f64 x x)) (.f64 (-.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)) (.f64 x x)))))
(.f64 (fma.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)) (.f64 x x)) (/.f64 (-.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)) (fma.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)) (*.f64 x x))))
(.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t))))
(.f64 (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)) (.f64 (-.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)))))
(*.f64 (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)) (/.f64 (-.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t))))
(.f64 (+.f64 (neg.f64 (.f64 x (.f64 x x))) (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)) (.f64 x x)))))
(.f64 (+.f64 (neg.f64 (.f64 x x)) (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)) (.f64 x x))) (-.f64 (.f64 x (.f64 x x)) (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 3 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t))) (-.f64 (.f64 x x) (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 2 binary64))))
(.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 2 binary64))) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 2 binary64)))) (-.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 x x)) (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 3 binary64))) (fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))) (pow.f64 (.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t))) #s(literal 3 binary64)))) (fma.f64 (.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t))) (-.f64 (.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t))) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 x x)) (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 3 binary64))) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 (.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t))) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (*.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)))))
(.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 2 binary64))) (fma.f64 x (.f64 x x) (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 3 binary64)))) (fma.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) (-.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) x) (.f64 x x)))
(exp.f64 (*.f64 (log.f64 (/.f64 t (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) (neg.f64 t)))
(-.f64 (/.f64 (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (.f64 (.f64 y (.f64 y y)) (exp.f64 (.f64 z #s(literal 3 binary64)))))) t) (/.f64 (log.f64 (fma.f64 (.f64 y y) (exp.f64 (+.f64 z z)) (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))))) t))
(-.f64 (/.f64 (log.f64 (fma.f64 (.f64 y (neg.f64 y)) (exp.f64 (+.f64 z z)) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) t) (/.f64 (log1p.f64 (*.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)))) t))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 t)) (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) (neg.f64 t)))
(neg.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) (neg.f64 t)))
(neg.f64 (*.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) (neg.f64 t)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y)))))
(/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)
(/.f64 (neg.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y)))) (neg.f64 t))
(/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y)))))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 t) (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y)))))
(/.f64 (/.f64 (neg.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y)))) #s(literal -1 binary64)) t)
(pow.f64 (/.f64 t (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t))
(*.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) (/.f64 #s(literal 1 binary64) t))
(*.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 1 binary64))
(*.f64 (neg.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y)))) (/.f64 #s(literal -1 binary64) t))
(.f64 (neg.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y)))) (.f64 (/.f64 #s(literal -1 binary64) t) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) t) (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) t) (pow.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y)))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) (neg.f64 t)))
(*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y)))))
(*.f64 (pow.f64 (/.f64 t (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 t (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y)))) #s(literal -1/2 binary64)))

eval58.0ms (0.3%)

Memory: 9.3MiB live, 122.4MiB allocated
Compiler: Compiled 13 759 to 1 523 computations (88.9% saved)

prune138.0ms (0.6%)

Memory

-20.4MiB live, 126.0MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	392	15	407
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	393	15	408

Accuracy

99.2%

Counts

408 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	81.7%	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) x)
	64.3%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y) #s(literal 1 binary64)))) t))
	69.9%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t))
	69.0%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
▶	58.3%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 z (fma.f64 z (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (.f64 z #s(literal 1/6 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))) t))
▶	52.5%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 z (fma.f64 z (fma.f64 z (fma.f64 z (.f64 (fma.f64 (.f64 y y) (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64)) (fma.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)) y)) #s(literal 1/24 binary64)) (.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y))) (.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))) t))
	62.6%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 z (fma.f64 z (.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y)) y))) t))
▶	85.0%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) t))
▶	72.4%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))
	81.7%	(-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) t) (pow.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y)))) #s(literal -1 binary64))))
	59.0%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 z (fma.f64 z (fma.f64 z (.f64 (fma.f64 (.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (/.f64 #s(literal 1/6 binary64) t)) (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y)) t)) (/.f64 y t)))))
▶	86.1%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 (expm1.f64 z) t))))
	86.0%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (.f64 t x)) (neg.f64 x) x))
	61.7%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 z (fma.f64 z (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 y (neg.f64 y) y)) t) (/.f64 y (neg.f64 t))) x))
	31.4%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))

Compiler

Compiled 636 to 392 computations (38.4% saved)

simplify521.0ms (2.4%)

Memory

14.8MiB live, 876.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 z (fma.f64 z (fma.f64 z (fma.f64 z (.f64 (fma.f64 (.f64 y y) (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64)) (fma.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)) y)) #s(literal 1/24 binary64)) (.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y))) (.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))) t)
✓	cost-diff	0	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 z (fma.f64 z (fma.f64 z (fma.f64 z (.f64 (fma.f64 (.f64 y y) (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64)) (fma.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)) y)) #s(literal 1/24 binary64)) (.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y))) (.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))) t))
✓	cost-diff	128	(*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))
✓	cost-diff	320	(.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y))
✓	cost-diff	0	(*.f64 y (expm1.f64 z))
✓	cost-diff	0	#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z)))
✓	cost-diff	0	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) t)
✓	cost-diff	0	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) t))
✓	cost-diff	0	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 z (fma.f64 z (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (.f64 z #s(literal 1/6 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))) t)
✓	cost-diff	0	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 z (fma.f64 z (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (.f64 z #s(literal 1/6 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))) t))
✓	cost-diff	128	(*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))
✓	cost-diff	320	(fma.f64 (fma.f64 (.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y)))
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	0	#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))
✓	cost-diff	0	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)
✓	cost-diff	0	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))
✓	cost-diff	0	(/.f64 (expm1.f64 z) t)
✓	cost-diff	0	(*.f64 y (/.f64 (expm1.f64 z) t))
✓	cost-diff	0	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 (expm1.f64 z) t)))
✓	cost-diff	0	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 (expm1.f64 z) t))))

Rules

25 278×	`lower-fma.f32`
25 256×	`lower-fma.f64`
3 780×	`lower-*.f32`
3 760×	`lower-*.f64`
3 394×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	797
0	104	797
1	222	797
2	612	769
3	1885	769
4	7880	769
0	8151	699

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

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

localize1.0s (4.7%)

Memory

6.0MiB live, 604.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	93.8%	(fma.f64 z (fma.f64 z (.f64 (fma.f64 (.f64 y y) (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64)) (fma.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)) y)) #s(literal 1/24 binary64)) (.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y))) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y)))
✓	accuracy	91.7%	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 z (fma.f64 z (fma.f64 z (fma.f64 z (.f64 (fma.f64 (.f64 y y) (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64)) (fma.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)) y)) #s(literal 1/24 binary64)) (.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y))) (.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))) t)
✓	accuracy	79.7%	(fma.f64 z (.f64 (fma.f64 (.f64 y y) (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64)) (fma.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)) y)) #s(literal 1/24 binary64)) (.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y)))
✓	accuracy	60.9%	#s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 z (fma.f64 z (fma.f64 z (fma.f64 z (.f64 (fma.f64 (.f64 y y) (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64)) (fma.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)) y)) #s(literal 1/24 binary64)) (.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y))) (.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y)))
✓	accuracy	100.0%	(*.f64 y (expm1.f64 z))
✓	accuracy	100.0%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) t))
✓	accuracy	91.7%	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) t)
✓	accuracy	81.9%	#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z)))
✓	accuracy	95.0%	(fma.f64 z (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y)
✓	accuracy	91.7%	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 z (fma.f64 z (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (.f64 z #s(literal 1/6 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))) t)
✓	accuracy	85.0%	(fma.f64 (fma.f64 (.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y)))
✓	accuracy	61.8%	#s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 z (fma.f64 z (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (.f64 z #s(literal 1/6 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y)))
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	100.0%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))
✓	accuracy	91.7%	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)
✓	accuracy	61.4%	#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))
✓	accuracy	100.0%	(/.f64 (expm1.f64 z) t)
✓	accuracy	100.0%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 (expm1.f64 z) t))))
✓	accuracy	97.4%	(*.f64 y (/.f64 (expm1.f64 z) t))
✓	accuracy	82.1%	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 (expm1.f64 z) t)))

Samples

554.0ms	164×	1	valid
186.0ms	67×	2	valid
10.0ms	25×	0	valid

Compiler

Compiled 624 to 59 computations (90.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 397.0ms

ival-mult: 205.0ms (51.7% of total)

adjust: 54.0ms (13.6% of total)

ival-exp: 50.0ms (12.6% of total)

ival-log: 34.0ms (8.6% of total)

ival-add: 22.0ms (5.5% of total)

const: 13.0ms (3.3% of total)

ival-sub: 6.0ms (1.5% of total)

ival-div: 6.0ms (1.5% of total)

ival-pow: 5.0ms (1.3% of total)

ival-expm1: 2.0ms (0.5% of total)

exact: 1.0ms (0.3% of total)

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

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

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

series79.0ms (0.4%)

Memory

0.8MiB live, 119.4MiB allocated

Counts

24 → 744

Calls

Call 1

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

Outputs
#<alt (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))>
#<alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t))>
#<alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t))>
#<alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))>
#<alt (* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))>
#<alt (* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))>
#<alt x>
#<alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))>
#<alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))>
#<alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))>
#<alt x>
#<alt (+ x (* y (- (/ 1 t) (/ (exp z) t))))>
#<alt (+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t))))>
#<alt (+ 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))))>
#<alt (- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t)))>
#<alt (- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))>
#<alt (- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))>
#<alt (- (+ x (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))))>
#<alt (- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))>
#<alt (- (+ x (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))>
#<alt (- (+ x (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))>
#<alt (- (+ x (* -1 (/ (- (* -1 (/ (+ (* 1/3 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 3))))) (* 1/2 (/ 1 (* t (pow (+ 1 (* -1 (exp z))) 2))))) y)) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))>
#<alt x>
#<alt (+ x (* -1 (/ (* y z) t)))>
#<alt (+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))))>
#<alt (+ 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))))>
#<alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t))>
#<alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t))>
#<alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t))>
#<alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t))>
#<alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t))>
#<alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t))>
#<alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t))>
#<alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t))>
#<alt (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))>
#<alt (/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)>
#<alt (/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)>
#<alt (/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)>
#<alt x>
#<alt (+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))>
#<alt (+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))>
#<alt (+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))>
#<alt x>
#<alt (+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))>
#<alt (+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))>
#<alt (+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t)))>
#<alt (* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t)))>
#<alt (* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) t)) (* 1/3 (/ (pow (- (exp z) 1) 3) t)))))) (/ (exp z) t)) (/ 1 t)))>
#<alt (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)>
#<alt (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))>
#<alt (- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))>
#<alt (- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))))>
#<alt (/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)>
#<alt (- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))>
#<alt (+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 2))))) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t)))>
#<alt (+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (/ 1/3 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3)))) (+ (/ 1/2 (* t (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (+ 1 (* -1 (exp z))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t)))>
#<alt (/ (* y z) t)>
#<alt (* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))>
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#<alt (- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))>
#<alt (- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))))>
#<alt (/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)>
#<alt (- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))>
#<alt (+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 2))))) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t)))>
#<alt (+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (/ 1/3 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3)))) (+ (/ 1/2 (* t (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (+ 1 (* -1 (exp z))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t)))>
#<alt (/ (* y z) t)>
#<alt (* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))>
#<alt (* 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)))>
#<alt (* 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)))>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (* y (- (exp z) 1))>
#<alt (* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1))>
#<alt (* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1))>
#<alt (* 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))>
#<alt (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y))))>
#<alt (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1)))))>
#<alt (- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp z) 1) 2))))>
#<alt (- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp z) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp z) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp z) 1) 2)))))>
#<alt (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y))))>
#<alt (- (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) (/ 1 (* y (+ 1 (* -1 (exp z))))))>
#<alt (+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* 1/2 (/ 1 (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (+ 1 (* -1 (exp z))))) y))))>
#<alt (+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (/ 1/3 (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3))) (+ (/ 1/2 (* y (pow (+ 1 (* -1 (exp z))) 2))) (/ 1 (+ 1 (* -1 (exp z)))))) y))))>
#<alt (* y z)>
#<alt (* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2)))))))>
#<alt (* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2))))))))>
#<alt (* 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)))))))))))>
#<alt (log (- (+ 1 (* y (exp z))) y))>
#<alt (log (- (+ 1 (* y (exp z))) y))>
#<alt (log (- (+ 1 (* y (exp z))) y))>
#<alt (log (- (+ 1 (* y (exp z))) y))>
#<alt (log (- (+ 1 (* y (exp z))) y))>
#<alt (log (- (+ 1 (* y (exp z))) y))>
#<alt (log (- (+ 1 (* y (exp z))) y))>
#<alt (log (- (+ 1 (* y (exp z))) y))>
#<alt y>
#<alt (+ y (* 1/2 (* z (+ y (* -1 (pow y 2))))))>
#<alt (+ y (* z (+ (* 1/6 (* z (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (+ y (* -1 (pow y 2)))))))>
#<alt (+ y (* z (+ (* 1/6 (* z (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (+ y (* -1 (pow y 2)))))))>
#<alt (* 1/6 (* (pow z 2) (+ y (* (pow y 2) (- (* 2 y) 3)))))>
#<alt (* (pow z 2) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (* 1/2 (/ (+ y (* -1 (pow y 2))) z))))>
#<alt (* (pow z 2) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) z)) (/ y (pow z 2)))))>
#<alt (* (pow z 2) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) z)) (/ y (pow z 2)))))>
#<alt (* 1/6 (* (pow z 2) (+ y (* (pow y 2) (- (* 2 y) 3)))))>
#<alt (* (pow z 2) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (* 1/2 (/ (+ y (* -1 (pow y 2))) z))))>
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ y z)) (* -1/2 (+ y (* -1 (pow y 2))))) z)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))>
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ y z)) (* -1/2 (+ y (* -1 (pow y 2))))) z)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))>
#<alt (* y (+ 1 (* z (+ 1/2 (* 1/6 z)))))>
#<alt (* y (+ 1 (+ (* y (* z (- (* -1/2 z) 1/2))) (* z (+ 1/2 (* 1/6 z))))))>
#<alt (* y (+ 1 (+ (* y (+ (* 1/3 (* y (pow z 2))) (* z (- (* -1/2 z) 1/2)))) (* z (+ 1/2 (* 1/6 z))))))>
#<alt (* y (+ 1 (+ (* y (+ (* 1/3 (* y (pow z 2))) (* z (- (* -1/2 z) 1/2)))) (* z (+ 1/2 (* 1/6 z))))))>
#<alt (* 1/3 (* (pow y 3) (pow z 2)))>
#<alt (* (pow y 3) (+ (* 1/3 (pow z 2)) (/ (* z (- (* -1/2 z) 1/2)) y)))>
#<alt (* (pow y 3) (+ (* 1/3 (pow z 2)) (+ (/ 1 (pow y 2)) (+ (/ (* z (+ 1/2 (* 1/6 z))) (pow y 2)) (/ (* z (- (* -1/2 z) 1/2)) y)))))>
#<alt (* (pow y 3) (+ (* 1/3 (pow z 2)) (+ (/ 1 (pow y 2)) (+ (/ (* z (+ 1/2 (* 1/6 z))) (pow y 2)) (/ (* z (- (* -1/2 z) 1/2)) y)))))>
#<alt (* 1/3 (* (pow y 3) (pow z 2)))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (* z (- (* -1/2 z) 1/2)) y)) (* -1/3 (pow z 2)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (* z (- (* -1/6 z) 1/2)) 1) y)) (* z (- (* -1/2 z) 1/2))) y)) (* -1/3 (pow z 2)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (* z (- (* -1/6 z) 1/2)) 1) y)) (* z (- (* -1/2 z) 1/2))) y)) (* -1/3 (pow z 2)))))>
#<alt (* y (- (exp z) 1))>
#<alt (* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1))>
#<alt (* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1))>
#<alt (* 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))>
#<alt (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y))))>
#<alt (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1)))))>
#<alt (- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp z) 1) 2))))>
#<alt (- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp z) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp z) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp z) 1) 2)))))>
#<alt (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y))))>
#<alt (- (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) (/ 1 (* y (+ 1 (* -1 (exp z))))))>
#<alt (+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* 1/2 (/ 1 (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (+ 1 (* -1 (exp z))))) y))))>
#<alt (+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (/ 1/3 (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3))) (+ (/ 1/2 (* y (pow (+ 1 (* -1 (exp z))) 2))) (/ 1 (+ 1 (* -1 (exp z)))))) y))))>
#<alt (* y z)>
#<alt (* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2)))))))>
#<alt (* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2))))))))>
#<alt (* 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)))))))))))>
#<alt (log (- (+ 1 (* y (exp z))) y))>
#<alt (log (- (+ 1 (* y (exp z))) y))>
#<alt (log (- (+ 1 (* y (exp z))) y))>
#<alt (log (- (+ 1 (* y (exp z))) y))>
#<alt (log (- (+ 1 (* y (exp z))) y))>
#<alt (log (- (+ 1 (* y (exp z))) y))>
#<alt (log (- (+ 1 (* y (exp z))) y))>
#<alt (log (- (+ 1 (* y (exp z))) y))>
#<alt (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))>
#<alt (+ (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (* (pow y 2) (- (* 12 y) 7)))))) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))>
#<alt (+ (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (* (pow y 2) (- (* 12 y) 7)))))) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))>
#<alt (+ (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (* (pow y 2) (- (* 12 y) 7)))))) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))>
#<alt (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (* (pow y 2) (- (* 12 y) 7))))))>
#<alt (* z (+ (* 1/24 (+ y (+ (* -6 (pow y 4)) (* (pow y 2) (- (* 12 y) 7))))) (* 1/6 (/ (+ y (* (pow y 2) (- (* 2 y) 3))) z))))>
#<alt (* z (+ (* 1/24 (+ y (+ (* -6 (pow y 4)) (* (pow y 2) (- (* 12 y) 7))))) (* 1/6 (/ (+ y (* (pow y 2) (- (* 2 y) 3))) z))))>
#<alt (* z (+ (* 1/24 (+ y (+ (* -6 (pow y 4)) (* (pow y 2) (- (* 12 y) 7))))) (* 1/6 (/ (+ y (* (pow y 2) (- (* 2 y) 3))) z))))>
#<alt (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (* (pow y 2) (- (* 12 y) 7))))))>
#<alt (* -1 (* z (+ (* -1/6 (/ (+ y (* (pow y 2) (- (* 2 y) 3))) z)) (* -1/24 (+ y (+ (* -6 (pow y 4)) (* (pow y 2) (- (* 12 y) 7))))))))>
#<alt (* -1 (* z (+ (* -1/6 (/ (+ y (* (pow y 2) (- (* 2 y) 3))) z)) (* -1/24 (+ y (+ (* -6 (pow y 4)) (* (pow y 2) (- (* 12 y) 7))))))))>
#<alt (* -1 (* z (+ (* -1/6 (/ (+ y (* (pow y 2) (- (* 2 y) 3))) z)) (* -1/24 (+ y (+ (* -6 (pow y 4)) (* (pow y 2) (- (* 12 y) 7))))))))>
#<alt (* y (+ 1/6 (* 1/24 z)))>
#<alt (* y (+ 1/6 (+ (* 1/24 z) (* y (- (* -7/24 z) 1/2)))))>
#<alt (* y (+ 1/6 (+ (* 1/24 z) (* y (- (+ (* -7/24 z) (* y (+ 1/3 (* 1/2 z)))) 1/2)))))>
#<alt (* y (+ 1/6 (+ (* 1/24 z) (* y (- (+ (* -7/24 z) (* y (+ 1/3 (+ (* -1/4 (* y z)) (* 1/2 z))))) 1/2)))))>
#<alt (* -1/4 (* (pow y 4) z))>
#<alt (* (pow y 4) (+ (* -1/4 z) (+ (* 1/2 (/ z y)) (* 1/3 (/ 1 y)))))>
#<alt (* (pow y 4) (- (+ (* -7/24 (/ z (pow y 2))) (+ (* -1/4 z) (+ (* 1/2 (/ z y)) (* 1/3 (/ 1 y))))) (/ 1/2 (pow y 2))))>
#<alt (* (pow y 4) (- (+ (* -7/24 (/ z (pow y 2))) (+ (* -1/4 z) (+ (* 1/24 (/ z (pow y 3))) (+ (* 1/2 (/ z y)) (+ (* 1/3 (/ 1 y)) (* 1/6 (/ 1 (pow y 3)))))))) (/ 1/2 (pow y 2))))>
#<alt (* -1/4 (* (pow y 4) z))>
#<alt (* (pow y 4) (+ (* -1 (/ (- (* -1/2 z) 1/3) y)) (* -1/4 z)))>
#<alt (* (pow y 4) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -7/24 z) 1/2) y)) (* -1/2 z)) 1/3) y)) (* -1/4 z)))>
#<alt (* (pow y 4) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/24 z) 1/6) y)) (* -7/24 z)) 1/2) y)) (* -1/2 z)) 1/3) y)) (* -1/4 z)))>
#<alt (* 1/2 (+ y (* -1 (pow y 2))))>
#<alt (+ (* 1/6 (* z (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (+ y (* -1 (pow y 2)))))>
#<alt (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* z (+ (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (* (pow y 2) (- (* 12 y) 7)))))) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))))>
#<alt (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* z (+ (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (* (pow y 2) (- (* 12 y) 7)))))) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))))>
#<alt (* 1/24 (* (pow z 2) (+ y (+ (* -6 (pow y 4)) (* (pow y 2) (- (* 12 y) 7))))))>
#<alt (* (pow z 2) (+ (* 1/24 (+ y (+ (* -6 (pow y 4)) (* (pow y 2) (- (* 12 y) 7))))) (* 1/6 (/ (+ y (* (pow y 2) (- (* 2 y) 3))) z))))>
#<alt (* (pow z 2) (+ (* 1/24 (+ y (+ (* -6 (pow y 4)) (* (pow y 2) (- (* 12 y) 7))))) (+ (* 1/6 (/ (+ y (* (pow y 2) (- (* 2 y) 3))) z)) (* 1/2 (/ (+ y (* -1 (pow y 2))) (pow z 2))))))>
#<alt (* (pow z 2) (+ (* 1/24 (+ y (+ (* -6 (pow y 4)) (* (pow y 2) (- (* 12 y) 7))))) (+ (* 1/6 (/ (+ y (* (pow y 2) (- (* 2 y) 3))) z)) (* 1/2 (/ (+ y (* -1 (pow y 2))) (pow z 2))))))>
#<alt (* 1/24 (* (pow z 2) (+ y (+ (* -6 (pow y 4)) (* (pow y 2) (- (* 12 y) 7))))))>
#<alt (* (pow z 2) (+ (* 1/24 (+ y (+ (* -6 (pow y 4)) (* (pow y 2) (- (* 12 y) 7))))) (* 1/6 (/ (+ y (* (pow y 2) (- (* 2 y) 3))) z))))>
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -1/2 (/ (+ y (* -1 (pow y 2))) z)) (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))) z)) (* 1/24 (+ y (+ (* -6 (pow y 4)) (* (pow y 2) (- (* 12 y) 7)))))))>
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -1/2 (/ (+ y (* -1 (pow y 2))) z)) (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))) z)) (* 1/24 (+ y (+ (* -6 (pow y 4)) (* (pow y 2) (- (* 12 y) 7)))))))>
#<alt (* y (+ 1/2 (* z (+ 1/6 (* 1/24 z)))))>
#<alt (* y (+ 1/2 (+ (* y (- (* z (- (* -7/24 z) 1/2)) 1/2)) (* z (+ 1/6 (* 1/24 z))))))>
#<alt (* y (+ 1/2 (+ (* y (- (+ (* y (* z (+ 1/3 (* 1/2 z)))) (* z (- (* -7/24 z) 1/2))) 1/2)) (* z (+ 1/6 (* 1/24 z))))))>
#<alt (* y (+ 1/2 (+ (* y (- (+ (* y (+ (* -1/4 (* y (pow z 2))) (* z (+ 1/3 (* 1/2 z))))) (* z (- (* -7/24 z) 1/2))) 1/2)) (* z (+ 1/6 (* 1/24 z))))))>
#<alt (* -1/4 (* (pow y 4) (pow z 2)))>
#<alt (* (pow y 4) (+ (* -1/4 (pow z 2)) (/ (* z (+ 1/3 (* 1/2 z))) y)))>
#<alt (* (pow y 4) (- (+ (* -1/4 (pow z 2)) (+ (/ (* z (+ 1/3 (* 1/2 z))) y) (/ (* z (- (* -7/24 z) 1/2)) (pow y 2)))) (/ 1/2 (pow y 2))))>
#<alt (* (pow y 4) (- (+ (* -1/4 (pow z 2)) (+ (* 1/2 (/ 1 (pow y 3))) (+ (/ (* z (+ 1/6 (* 1/24 z))) (pow y 3)) (+ (/ (* z (+ 1/3 (* 1/2 z))) y) (/ (* z (- (* -7/24 z) 1/2)) (pow y 2)))))) (/ 1/2 (pow y 2))))>
#<alt (* -1/4 (* (pow y 4) (pow z 2)))>
#<alt (* (pow y 4) (+ (* -1 (/ (* z (- (* -1/2 z) 1/3)) y)) (* -1/4 (pow z 2))))>
#<alt (* (pow y 4) (+ (* -1 (/ (+ (* -1 (/ (- (* z (- (* -7/24 z) 1/2)) 1/2) y)) (* z (- (* -1/2 z) 1/3))) y)) (* -1/4 (pow z 2))))>
#<alt (* (pow y 4) (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* z (- (* -1/24 z) 1/6)) 1/2) y)) (* z (- (* -7/24 z) 1/2))) 1/2) y)) (* z (- (* -1/2 z) 1/3))) y)) (* -1/4 (pow z 2))))>

Calls

186 calls:

Time	Variable		Point	Expression
19.0ms	t	@	0	(/ (- (exp z) 1) t)
3.0ms	y	@	0	(+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))
1.0ms	z	@	0	(+ (* z (* (+ (* (* y y) (+ (* y 12) -7)) (+ (* -6 (pow y 4)) y)) 1/24)) (* 1/6 (+ (* (* y y) (+ (* y 2) -3)) y)))
1.0ms	z	@	0	(+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))
1.0ms	y	@	inf	(+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))

simplify487.0ms (2.3%)

Memory

10.0MiB live, 797.1MiB allocated

Algorithm

1×	egg-herbie

Rules

12 484×	`lower-fma.f64`
12 484×	`lower-fma.f32`
6 772×	`lower-*.f64`
6 772×	`lower-*.f32`
4 550×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	704	13349
1	2309	12747
2	7308	12617
0	8363	10232

Stop Event

1×	iter limit
1×	node limit

Counts

744 → 713

Calls

Call 1

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

rewrite546.0ms (2.5%)

Memory

3.1MiB live, 884.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 314×	`lower-*.f32`
7 294×	`lower-*.f64`
5 880×	`lower-fma.f32`
5 858×	`lower-fma.f64`
3 888×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	552
0	104	552
1	469	552
2	4157	552
0	10826	538

Stop Event

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

Counts

24 → 507

Calls

Call 1

Inputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 (expm1.f64 z) t))))
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 (expm1.f64 z) t)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (expm1.f64 z) t)
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))
(*.f64 y z)
(fma.f64 (fma.f64 (.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 z (fma.f64 z (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (.f64 z #s(literal 1/6 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))) t))
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(/.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 z (fma.f64 y (.f64 y (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64))) (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal -6 binary64)) y))) (.f64 z (fma.f64 y (.f64 y (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64))) (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal -6 binary64)) y)))) #s(literal 1/576 binary64)) (.f64 (.f64 (fma.f64 (.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (fma.f64 (.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y)) #s(literal 1/36 binary64))) z) (fma.f64 y (-.f64 y (neg.f64 (.f64 y y))) (.f64 y (.f64 y (.f64 y y)))) (.f64 (fma.f64 z (.f64 (fma.f64 y (.f64 y (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64))) (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal -6 binary64)) y)) #s(literal 1/24 binary64)) (.f64 #s(literal -1/6 binary64) (fma.f64 (.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y))) (.f64 (fma.f64 y (.f64 y y) (neg.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))))) #s(literal 1/2 binary64)))) (.f64 (fma.f64 z (.f64 (fma.f64 y (.f64 y (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64))) (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal -6 binary64)) y)) #s(literal 1/24 binary64)) (.f64 #s(literal -1/6 binary64) (fma.f64 (.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y))) (fma.f64 y (-.f64 y (neg.f64 (.f64 y y))) (.f64 y (.f64 y (.f64 y y))))))
(/.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 z (fma.f64 y (.f64 y (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64))) (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal -6 binary64)) y))) (.f64 z (fma.f64 y (.f64 y (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64))) (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal -6 binary64)) y)))) #s(literal 1/576 binary64)) (.f64 (.f64 (fma.f64 (.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (fma.f64 (.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y)) #s(literal 1/36 binary64))) z) (fma.f64 y (neg.f64 y) (neg.f64 y)) (.f64 (fma.f64 z (.f64 (fma.f64 y (.f64 y (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64))) (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal -6 binary64)) y)) #s(literal 1/24 binary64)) (.f64 #s(literal -1/6 binary64) (fma.f64 (.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y))) (.f64 (-.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 y y)) #s(literal 1/2 binary64)))) (.f64 (fma.f64 z (.f64 (fma.f64 y (.f64 y (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64))) (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal -6 binary64)) y)) #s(literal 1/24 binary64)) (.f64 #s(literal -1/6 binary64) (fma.f64 (.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y))) (fma.f64 y (neg.f64 y) (neg.f64 y))))
(pow.f64 (/.f64 (fma.f64 z (.f64 (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) #s(literal 1/6 binary64) (.f64 (fma.f64 y (.f64 y (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64))) (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal -6 binary64)) y)) (.f64 #s(literal 1/24 binary64) z))) (.f64 z (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) #s(literal 1/6 binary64) (.f64 (fma.f64 y (.f64 y (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64))) (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal -6 binary64)) y)) (.f64 #s(literal 1/24 binary64) z))))) (.f64 (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 y y))) (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 y y))) (.f64 z (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) #s(literal 1/6 binary64) (.f64 (fma.f64 y (.f64 y (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64))) (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal -6 binary64)) y)) (.f64 #s(literal 1/24 binary64) z))))))) (fma.f64 #s(literal 1/8 binary64) (.f64 (-.f64 y (.f64 y y)) (.f64 (-.f64 y (.f64 y y)) (-.f64 y (.f64 y y)))) (pow.f64 (.f64 z (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) #s(literal 1/6 binary64) (.f64 (fma.f64 y (.f64 y (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64))) (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal -6 binary64)) y)) (.f64 #s(literal 1/24 binary64) z)))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 z (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) #s(literal 1/6 binary64) (.f64 (fma.f64 y (.f64 y (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64))) (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal -6 binary64)) y)) (.f64 #s(literal 1/24 binary64) z))) (.f64 #s(literal -1/2 binary64) (-.f64 y (.f64 y y)))) (.f64 (fma.f64 z (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) #s(literal 1/6 binary64) (.f64 (fma.f64 y (.f64 y (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64))) (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal -6 binary64)) y)) (.f64 #s(literal 1/24 binary64) z))) (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 y y)))) (fma.f64 z (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) #s(literal 1/6 binary64) (.f64 (fma.f64 y (.f64 y (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64))) (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal -6 binary64)) y)) (.f64 #s(literal 1/24 binary64) z))) (.f64 #s(literal -1/2 binary64) (-.f64 y (.f64 y y)))))) #s(literal -1 binary64))
(.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (-.f64 y (.f64 y y)) (.f64 (-.f64 y (.f64 y y)) (-.f64 y (.f64 y y)))) (pow.f64 (.f64 z (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) #s(literal 1/6 binary64) (.f64 (fma.f64 y (.f64 y (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64))) (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal -6 binary64)) y)) (.f64 #s(literal 1/24 binary64) z)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) #s(literal 1/6 binary64) (.f64 (fma.f64 y (.f64 y (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64))) (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal -6 binary64)) y)) (.f64 #s(literal 1/24 binary64) z))) (.f64 z (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) #s(literal 1/6 binary64) (.f64 (fma.f64 y (.f64 y (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64))) (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal -6 binary64)) y)) (.f64 #s(literal 1/24 binary64) z))))) (.f64 (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 y y))) (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 y y))) (.f64 z (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) #s(literal 1/6 binary64) (.f64 (fma.f64 y (.f64 y (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64))) (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal -6 binary64)) y)) (*.f64 #s(literal 1/24 binary64) z)))))))))
(.f64 (.f64 (fma.f64 z (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) #s(literal 1/6 binary64) (.f64 (fma.f64 y (.f64 y (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64))) (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal -6 binary64)) y)) (.f64 #s(literal 1/24 binary64) z))) (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 y y)))) (fma.f64 z (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) #s(literal 1/6 binary64) (.f64 (fma.f64 y (.f64 y (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64))) (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal -6 binary64)) y)) (.f64 #s(literal 1/24 binary64) z))) (.f64 #s(literal -1/2 binary64) (-.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) #s(literal 1/6 binary64) (.f64 (fma.f64 y (.f64 y (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64))) (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal -6 binary64)) y)) (.f64 #s(literal 1/24 binary64) z))) (.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y))))))

eval204.0ms (0.9%)

Memory: 38.8MiB live, 488.0MiB allocated
Compiler: Compiled 61 405 to 3 419 computations (94.4% saved)

prune174.0ms (0.8%)

Memory

-40.6MiB live, 301.8MiB allocated

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	1 236	14	1 250
Fresh	3	7	10
Picked	3	2	5
Done	0	0	0
Total	1 242	23	1 265

Accuracy

99.2%

Counts

1 265 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	81.7%	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) x)
	72.4%	(fma.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))) (/.f64 #s(literal 1 binary64) t) x)
	34.8%	(/.f64 (-.f64 (.f64 x x) (/.f64 (.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 y z)) #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 y z))) (.f64 t t))) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)))
	34.6%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 y z)) t)) (-.f64 (.f64 x x) (/.f64 (.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 y z)) #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 y z))) (.f64 t t)))))
▶	64.3%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y) #s(literal 1 binary64)))) t))
	69.9%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t))
	69.0%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
▶	67.8%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 z (fma.f64 z #s(approx (+ ( (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y))) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y))) t))
	65.9%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 z (fma.f64 z #s(approx (+ ( z (+ (* z (* (+ (* (* y y) (+ (* y 12) -7)) (+ (* -6 (pow y 4)) y)) 1/24)) (* 1/6 (+ (* (* y y) (+ (* y 2) -3)) y)))) (* 1/2 (+ (* y (neg y)) y))) (*.f64 y (fma.f64 z (fma.f64 z #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) y))) t))
	55.0%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 z #s(approx (+ ( z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (.f64 (.f64 y y) (.f64 y (.f64 z (*.f64 z #s(literal 1/3 binary64)))))))) t))
✓	85.0%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) t))
✓	72.4%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))
	68.5%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* y (- (exp z) 1)) (.f64 z (fma.f64 y (.f64 z #s(literal 1/2 binary64)) y)))) t))
	85.0%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))))))
	72.4%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))))
	81.7%	(-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) t) (pow.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y)))) #s(literal -1 binary64))))
	23.7%	(-.f64 x (exp.f64 (.f64 (log.f64 (/.f64 t #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 z (fma.f64 z (fma.f64 z (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) #s(literal 1/6 binary64) (.f64 (fma.f64 y (.f64 y (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64))) (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal -6 binary64)) y)) (.f64 #s(literal 1/24 binary64) z))) (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 y y)))) y))))) #s(literal -1 binary64))))
	70.8%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 z (/.f64 y t))))
▶	73.1%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))))
▶	67.0%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y #s(approx (/ (- (exp z) 1) t) (.f64 z (fma.f64 z (fma.f64 z (fma.f64 z (/.f64 #s(literal 1/24 binary64) t) (/.f64 #s(literal 1/6 binary64) t)) (/.f64 #s(literal 1/2 binary64) t)) (/.f64 #s(literal 1 binary64) t)))))))
	69.6%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y #s(approx (/ (- (exp z) 1) t) (.f64 z (fma.f64 z (/.f64 #s(literal 1/2 binary64) t) (/.f64 #s(literal 1 binary64) t)))))))
▶	86.0%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (.f64 t x)) (neg.f64 x) x))
	31.4%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))

Compiler

Compiled 901 to 531 computations (41.1% saved)

simplify392.0ms (1.8%)

Memory

4.0MiB live, 530.1MiB 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))) (fma.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y) #s(literal 1 binary64)))
✓	cost-diff	0	(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y) #s(literal 1 binary64))))
✓	cost-diff	0	(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y) #s(literal 1 binary64)))) t)
✓	cost-diff	0	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y) #s(literal 1 binary64)))) t))
✓	cost-diff	0	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y #s(approx (/ (- (exp z) 1) t) (.f64 z (fma.f64 z (fma.f64 z (fma.f64 z (/.f64 #s(literal 1/24 binary64) t) (/.f64 #s(literal 1/6 binary64) t)) (/.f64 #s(literal 1/2 binary64) t)) (/.f64 #s(literal 1 binary64) t)))))))
✓	cost-diff	64	(fma.f64 z (fma.f64 z (fma.f64 z (/.f64 #s(literal 1/24 binary64) t) (/.f64 #s(literal 1/6 binary64) t)) (/.f64 #s(literal 1/2 binary64) t)) (/.f64 #s(literal 1 binary64) t))
✓	cost-diff	320	(fma.f64 z (fma.f64 z (/.f64 #s(literal 1/24 binary64) t) (/.f64 #s(literal 1/6 binary64) t)) (/.f64 #s(literal 1/2 binary64) t))
✓	cost-diff	384	(fma.f64 z (/.f64 #s(literal 1/24 binary64) t) (/.f64 #s(literal 1/6 binary64) t))
✓	cost-diff	0	(.f64 z (fma.f64 z #s(approx (+ ( (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y))) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y))
✓	cost-diff	0	#s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 z (fma.f64 z #s(approx (+ ( (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y))) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y)))
✓	cost-diff	0	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 z (fma.f64 z #s(approx (+ ( (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y))) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y))) t)
✓	cost-diff	0	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 z (fma.f64 z #s(approx (+ ( (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y))) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y))) t))
✓	cost-diff	0	#s(approx (/ (- (exp z) 1) t) (/.f64 z t))
✓	cost-diff	0	(*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))
✓	cost-diff	0	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))
✓	cost-diff	0	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))))
✓	cost-diff	0	(log1p.f64 (*.f64 y (expm1.f64 z)))
✓	cost-diff	0	(/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (.f64 t x))
✓	cost-diff	0	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (.f64 t x)) (neg.f64 x) x))
✓	cost-diff	640	(fma.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (.f64 t x)) (neg.f64 x) x)

Rules

14 204×	`lower-fma.f32`
14 188×	`lower-fma.f64`
4 762×	`lower-*.f32`
4 746×	`lower-*.f64`
2 776×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	717
0	111	717
1	229	711
2	514	667
3	1083	657
4	2505	645
5	4966	645
0	8049	609

Stop Event

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

Calls

Call 1

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

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

localize613.0ms (2.8%)

Memory

-0.4MiB live, 565.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y) #s(literal 1 binary64))
✓	accuracy	91.7%	(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y) #s(literal 1 binary64)))) t)
✓	accuracy	75.3%	#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y) #s(literal 1 binary64)))
✓	accuracy	43.2%	(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y) #s(literal 1 binary64))))
✓	accuracy	99.4%	(/.f64 #s(literal 1/6 binary64) t)
✓	accuracy	97.4%	(.f64 y #s(approx (/ (- (exp z) 1) t) (.f64 z (fma.f64 z (fma.f64 z (fma.f64 z (/.f64 #s(literal 1/24 binary64) t) (/.f64 #s(literal 1/6 binary64) t)) (/.f64 #s(literal 1/2 binary64) t)) (/.f64 #s(literal 1 binary64) t)))))
✓	accuracy	82.1%	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y #s(approx (/ (- (exp z) 1) t) (.f64 z (fma.f64 z (fma.f64 z (fma.f64 z (/.f64 #s(literal 1/24 binary64) t) (/.f64 #s(literal 1/6 binary64) t)) (/.f64 #s(literal 1/2 binary64) t)) (/.f64 #s(literal 1 binary64) t))))))
✓	accuracy	69.2%	#s(approx (/ (- (exp z) 1) t) (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 z (/.f64 #s(literal 1/24 binary64) t) (/.f64 #s(literal 1/6 binary64) t)) (/.f64 #s(literal 1/2 binary64) t)) (/.f64 #s(literal 1 binary64) t))))
✓	accuracy	95.0%	(fma.f64 z #s(approx (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y))) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y)
✓	accuracy	91.7%	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 z (fma.f64 z #s(approx (+ ( (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y))) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y))) t)
✓	accuracy	70.4%	#s(approx (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y))) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
✓	accuracy	61.8%	#s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 z (fma.f64 z #s(approx (+ ( (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y))) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y)))
✓	accuracy	100.0%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))))
✓	accuracy	97.4%	(*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))
✓	accuracy	82.1%	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))
✓	accuracy	69.7%	#s(approx (/ (- (exp z) 1) t) (/.f64 z t))
✓	accuracy	100.0%	(*.f64 y (expm1.f64 z))
✓	accuracy	98.9%	(log1p.f64 (*.f64 y (expm1.f64 z)))
✓	accuracy	94.0%	(fma.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (.f64 t x)) (neg.f64 x) x)
✓	accuracy	88.0%	(/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (.f64 t x))

Samples

203.0ms	163×	1	valid
156.0ms	63×	2	valid
14.0ms	30×	0	valid

Compiler

Compiled 446 to 63 computations (85.9% saved)

Precisions

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

ival-log1p: 67.0ms (22% of total)

ival-mult: 63.0ms (20.7% of total)

ival-log: 34.0ms (11.2% of total)

adjust: 31.0ms (10.2% of total)

ival-exp: 30.0ms (9.8% of total)

ival-add: 26.0ms (8.5% of total)

ival-div: 22.0ms (7.2% of total)

ival-expm1: 13.0ms (4.3% of total)

const: 10.0ms (3.3% of total)

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

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

exact: 1.0ms (0.3% of total)

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

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

series296.0ms (1.4%)

Memory

3.4MiB live, 157.4MiB allocated

Counts

28 → 900

Calls

Call 1

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

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

Calls

225 calls:

Time	Variable		Point	Expression
77.0ms	z	@	-inf	(+ (* (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) (neg x)) x)
65.0ms	z	@	inf	(* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y))
62.0ms	t	@	0	(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
17.0ms	z	@	inf	(+ (* (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) (neg x)) x)
6.0ms	t	@	inf	(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))

simplify574.0ms (2.6%)

Memory

8.1MiB live, 600.9MiB allocated

Algorithm

1×	egg-herbie

Rules

10 698×	`lower-fma.f64`
10 698×	`lower-fma.f32`
7 078×	`lower-*.f64`
7 078×	`lower-*.f32`
4 616×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	855	14855
1	2820	14171
0	8704	11460

Stop Event

1×	iter limit
1×	node limit

Counts

900 → 863

Calls

Call 1

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

Outputs
x
(+ x (* -1 (/ (* y (- (exp z) 1)) t)))
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(+ x (* y (+ (* -1 (/ (- (exp z) 1) t)) (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)))))
(fma.f64 y (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) t) (/.f64 (expm1.f64 z) t)) x)
(+ x (* y (+ (* -1 (/ (- (exp z) 1) t)) (* y (+ (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* 1/2 (/ (pow (- (exp z) 1) 2) t)))))))
(fma.f64 y (-.f64 (.f64 y (fma.f64 y (.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) t) #s(literal -1/3 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))) t))) (/.f64 (expm1.f64 z) t)) x)
(+ x (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)))
(-.f64 x (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t))
(- (+ x (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t))) (/ 1 (* t (* y (- (exp z) 1)))))
(+.f64 (-.f64 x (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t)) (/.f64 #s(literal -1 binary64) (.f64 y (.f64 (expm1.f64 z) t))))
(- (+ x (+ (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (/ 1 (* t (* y (- (exp z) 1)))))
(+.f64 x (+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 t (.f64 y (.f64 y (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))))) (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t)) (/.f64 #s(literal -1 binary64) (.f64 y (*.f64 (expm1.f64 z) t)))))
(- (+ x (+ (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))))) (+ (/ 1 (* t (* y (- (exp z) 1)))) (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3)))))))
(+.f64 (+.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 t (.f64 y (.f64 y (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))))) (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t))) (-.f64 (/.f64 #s(literal -1 binary64) (.f64 y (.f64 (expm1.f64 z) t))) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 y (.f64 y y)) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) t)))))
(+ x (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)))
(-.f64 x (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t))
(- (+ x (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t))) (/ 1 (* t (* y (- (exp z) 1)))))
(+.f64 (-.f64 x (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t)) (/.f64 #s(literal -1 binary64) (.f64 y (.f64 (expm1.f64 z) t))))
(+ x (+ (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)) (* -1 (/ (- (/ 1 (* t (- (exp z) 1))) (* 1/2 (/ 1 (* t (* y (pow (- (exp z) 1) 2)))))) y))))
(-.f64 (-.f64 x (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (expm1.f64 z) t)) (/.f64 #s(literal -1/2 binary64) (.f64 y (*.f64 t (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))))) y))
(+ x (+ (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ 1 (* t (pow (- (exp z) 1) 2)))) (* 1/3 (/ 1 (* t (* y (pow (- (exp z) 1) 3)))))) y)) (/ 1 (* t (- (exp z) 1)))) y))))
(-.f64 (-.f64 x (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (expm1.f64 z) t)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 t (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) (/.f64 #s(literal -1/3 binary64) (.f64 t (.f64 y (pow.f64 (expm1.f64 z) #s(literal 3 binary64)))))) y)) y))
x
(+ x (* -1 (/ (* y z) t)))
(-.f64 x (*.f64 z (/.f64 y t)))
(+ x (* z (+ (* -1 (/ y t)) (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)))))
(fma.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z (-.f64 y (.f64 y y))) t) (/.f64 (neg.f64 y) t)) x)
(+ x (* z (+ (* -1 (/ y t)) (* z (+ (* -1/2 (/ (+ y (* -1 (pow y 2))) t)) (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)))))))
(fma.f64 z (fma.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 y (.f64 y y)) t) (.f64 (.f64 z #s(literal -1/6 binary64)) (/.f64 (fma.f64 (.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) t))) (/.f64 (neg.f64 y) t)) x)
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))
(/ (+ (* -1 (log (+ 1 (* y (- (exp z) 1))))) (* t x)) t)
(/.f64 (-.f64 (.f64 x t) (log1p.f64 (.f64 y (expm1.f64 z)))) t)
(/ (+ (* -1 (log (+ 1 (* y (- (exp z) 1))))) (* t x)) t)
(/.f64 (-.f64 (.f64 x t) (log1p.f64 (.f64 y (expm1.f64 z)))) t)
(/ (+ (* -1 (log (+ 1 (* y (- (exp z) 1))))) (* t x)) t)
(/.f64 (-.f64 (.f64 x t) (log1p.f64 (.f64 y (expm1.f64 z)))) t)
x
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
x
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
x
(* x (+ 1 (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)))))
(fma.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (neg.f64 (.f64 x t))) x)
(* x (+ 1 (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)))))
(fma.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (neg.f64 (.f64 x t))) x)
(* x (+ 1 (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)))))
(fma.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (neg.f64 (.f64 x t))) x)
x
(* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1)))
(neg.f64 (fma.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (.f64 x t)) x (neg.f64 x)))
(* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1)))
(neg.f64 (fma.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (.f64 x t)) x (neg.f64 x)))
(* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1)))
(neg.f64 (fma.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (.f64 x t)) x (neg.f64 x)))
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
x
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(fma.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (neg.f64 (.f64 x t))) x)
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(fma.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (neg.f64 (.f64 x t))) x)
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(fma.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (neg.f64 (.f64 x t))) x)
x
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(neg.f64 (fma.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (.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 y (expm1.f64 z))) (.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 y (expm1.f64 z))) (.f64 x t)) x (neg.f64 x)))
x
(+ x (* y (- (/ 1 t) (/ (exp z) t))))
(fma.f64 y (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t)) x)
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t))))
(fma.f64 y (-.f64 (fma.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))) t) (/.f64 #s(literal 1 binary64) t)) (/.f64 (exp.f64 z) t)) x)
(+ 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))))
(fma.f64 y (-.f64 (fma.f64 y (fma.f64 y (.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) t) #s(literal -1/3 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))) t)) (/.f64 #s(literal 1 binary64) t)) (/.f64 (exp.f64 z) t)) x)
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t)))
(-.f64 x (+.f64 (/.f64 (log.f64 y) t) (/.f64 (log.f64 (expm1.f64 z)) t)))
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))
(-.f64 (-.f64 (-.f64 x (/.f64 (log.f64 y) t)) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 (expm1.f64 z) t)))) (/.f64 (log.f64 (expm1.f64 z)) 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))))
(-.f64 (+.f64 x (/.f64 #s(literal 1/2 binary64) (.f64 t (.f64 y (.f64 y (pow.f64 (expm1.f64 z) #s(literal 2 binary64))))))) (+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 (expm1.f64 z) t))) (/.f64 (log.f64 y) 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)))))
(-.f64 (+.f64 x (/.f64 #s(literal 1/2 binary64) (.f64 t (.f64 y (.f64 y (pow.f64 (expm1.f64 z) #s(literal 2 binary64))))))) (+.f64 (+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 (expm1.f64 z) t))) (/.f64 (log.f64 y) t))) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 y (.f64 y y)) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) t)))))
(- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(-.f64 x (-.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) t)))
(- (+ x (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(-.f64 (+.f64 x (/.f64 #s(literal -1 binary64) (.f64 y (.f64 (expm1.f64 z) t)))) (-.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) 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)))
(-.f64 (+.f64 (+.f64 x (/.f64 #s(literal -1 binary64) (.f64 y (.f64 (expm1.f64 z) t)))) (/.f64 #s(literal 1/2 binary64) (.f64 t (.f64 y (*.f64 y (pow.f64 (neg.f64 (expm1.f64 z)) #s(literal 2 binary64))))))) (-.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) 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)))
(-.f64 (-.f64 x (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 y (.f64 (pow.f64 (neg.f64 (expm1.f64 z)) #s(literal 3 binary64)) t))) (/.f64 #s(literal 1/2 binary64) (.f64 t (pow.f64 (neg.f64 (expm1.f64 z)) #s(literal 2 binary64))))) (neg.f64 y)) (/.f64 #s(literal -1 binary64) (.f64 t (neg.f64 (expm1.f64 z))))) y)) (-.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) t)))
x
(+ x (* -1 (/ (* y z) t)))
(-.f64 x (*.f64 z (/.f64 y t)))
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))))
(fma.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z (-.f64 y (.f64 y y))) t) (/.f64 (neg.f64 y) t)) 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 z (fma.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 y (.f64 y y)) t) (.f64 (.f64 z #s(literal -1/6 binary64)) (/.f64 (fma.f64 (.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) t))) (/.f64 (neg.f64 y) t)) x)
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/.f64 (-.f64 (.f64 x t) (log1p.f64 (.f64 y (expm1.f64 z)))) t)
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/.f64 (-.f64 (.f64 x t) (log1p.f64 (.f64 y (expm1.f64 z)))) t)
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/.f64 (-.f64 (.f64 x t) (log1p.f64 (.f64 y (expm1.f64 z)))) t)
x
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
x
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(/ (* y (- (exp z) 1)) (* t x))
(/.f64 (.f64 y (expm1.f64 z)) (.f64 x t))
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) (* t x))) (/ (exp z) (* t x))) (/ 1 (* t x))))
(.f64 y (fma.f64 y (/.f64 (.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x t)) (/.f64 (expm1.f64 z) (.f64 x t))))
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rewrite376.0ms (1.7%)

Memory

40.7MiB live, 742.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 634×	`lower-*.f32`
4 618×	`lower-*.f64`
4 310×	`lower-fma.f32`
4 294×	`lower-fma.f64`
3 002×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	631
0	111	631
1	517	625
2	4436	625
0	8355	595

Stop Event

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

Counts

28 → 364

Calls

Call 1

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

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

eval223.0ms (1%)

Memory: -3.0MiB live, 438.0MiB allocated
Compiler: Compiled 29 525 to 2 403 computations (91.9% saved)

prune127.0ms (0.6%)

Memory

-18.7MiB live, 335.7MiB allocated

Pruning

35 alts after pruning (30 fresh and 5 done)

	Pruned	Kept	Total
New	1 211	16	1 227
Fresh	2	14	16
Picked	2	3	5
Done	0	2	2
Total	1 215	35	1 250

Accuracy

99.3%

Counts

1 250 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	81.7%	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) x)
▶	64.3%	(fma.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) t) x)
	72.4%	(fma.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))) (/.f64 #s(literal 1 binary64) t) x)
	34.8%	(/.f64 (-.f64 (.f64 x x) (/.f64 (.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 y z)) #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 y z))) (.f64 t t))) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)))
▶	34.6%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 y z)) t)) (-.f64 (.f64 x x) (/.f64 (.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 y z)) #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 y z))) (.f64 t t)))))
	69.9%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t))
	26.4%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* z (+ (* y (* z 1/2)) y)) 1) (.f64 z (fma.f64 y (.f64 z #s(literal 1/2 binary64)) y))))) t))
	69.0%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* z (+ (* y (* z 1/2)) y)) 1) #s(literal 1 binary64)))) t))
✓	67.8%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 z (fma.f64 z #s(approx (+ ( (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y))) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y))) t))
	67.8%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 z (+.f64 (.f64 z #s(approx (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y))) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) y))) t))
	55.0%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 z #s(approx (+ ( z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (.f64 (.f64 y y) (.f64 y (.f64 z (*.f64 z #s(literal 1/3 binary64)))))))) t))
✓	85.0%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) t))
✓	72.4%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))
	68.5%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* y (- (exp z) 1)) (.f64 z (fma.f64 y (.f64 z #s(literal 1/2 binary64)) y)))) t))
	64.3%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y) #s(literal 1 binary64)))))))
▶	85.0%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))))))
	72.4%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))))
	81.7%	(-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) t) (pow.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y)))) #s(literal -1 binary64))))
	23.7%	(-.f64 x (exp.f64 (.f64 (log.f64 (/.f64 t #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 z (fma.f64 z (fma.f64 z (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) #s(literal 1/6 binary64) (.f64 (fma.f64 y (.f64 y (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64))) (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal -6 binary64)) y)) (.f64 #s(literal 1/24 binary64) z))) (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 y y)))) y))))) #s(literal -1 binary64))))
▶	70.8%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 z (/.f64 y t))))
✓	73.1%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))))
	67.0%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y #s(approx (/ (- (exp z) 1) t) (.f64 z (fma.f64 z (fma.f64 z (fma.f64 #s(literal 1/24 binary64) (/.f64 z t) (/.f64 #s(literal 1/6 binary64) t)) (/.f64 #s(literal 1/2 binary64) t)) (/.f64 #s(literal 1 binary64) t)))))))
▶	69.6%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y #s(approx (/ (- (exp z) 1) t) (.f64 z (fma.f64 z (/.f64 #s(literal 1/2 binary64) t) (/.f64 #s(literal 1 binary64) t)))))))
	66.9%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y #s(approx (/ (- (exp z) 1) t) (.f64 z #s(approx (+ (* z (+ (* z (+ (* z (/ 1/24 t)) (/ 1/6 t))) (/ 1/2 t))) (/ 1 t)) (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) t)))))))
	55.4%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y #s(approx (/ (- (exp z) 1) t) (.f64 z #s(approx (+ (* z (+ (* z (+ (* z (/ 1/24 t)) (/ 1/6 t))) (/ 1/2 t))) (/ 1 t)) (/.f64 (.f64 (.f64 z (*.f64 z #s(literal 1/24 binary64))) z) t)))))))
	46.5%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y #s(approx (/ (- (exp z) 1) t) (.f64 z #s(approx (+ (* z (+ (* z (+ (* z (/ 1/24 t)) (/ 1/6 t))) (/ 1/2 t))) (/ 1 t)) (.f64 (.f64 z (.f64 z z)) (+.f64 (/.f64 #s(literal 1/24 binary64) t) (/.f64 #s(literal 1/6 binary64) (.f64 z t))))))))))
	28.7%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y #s(approx (/ (- (exp z) 1) t) (.f64 z #s(approx (+ (* z (+ (* z (+ (* z (/ 1/24 t)) (/ 1/6 t))) (/ 1/2 t))) (/ 1 t)) (.f64 (.f64 z (.f64 z z)) (+.f64 (/.f64 #s(literal 1/24 binary64) t) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 z (.f64 z t))) (/.f64 #s(literal 1/6 binary64) (.f64 z t)))))))))))
	23.5%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y #s(approx (/ (- (exp z) 1) t) (.f64 z #s(approx (+ (* z (+ (* z (+ (* z (/ 1/24 t)) (/ 1/6 t))) (/ 1/2 t))) (/ 1 t)) (.f64 (.f64 z (.f64 z z)) (+.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) t) (/.f64 #s(literal 1/6 binary64) (.f64 z t))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 z (.f64 z t))) (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z (*.f64 z t)))))))))))))
✓	86.0%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (.f64 t x)) (neg.f64 x) x))
	83.4%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x) (/.f64 (neg.f64 x) t) x))
	68.9%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (.f64 z (fma.f64 y (.f64 z #s(literal 1/2 binary64)) y)))) (*.f64 t x)) (neg.f64 x) x))
	73.5%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (.f64 y z))) (.f64 t x)) (neg.f64 x) x))
	67.4%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (.f64 y z)) (.f64 t x)) (neg.f64 x) x))
	58.6%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) (.f64 z (fma.f64 z (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 y y))) (.f64 x t)) (/.f64 y (*.f64 x t))))) (neg.f64 x) x))
	31.4%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))

Compiler

Compiled 1 457 to 839 computations (42.4% saved)

simplify247.0ms (1.1%)

Memory

-1.0MiB live, 363.0MiB 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))) (fma.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y) #s(literal 1 binary64)))
✓	cost-diff	0	(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y) #s(literal 1 binary64))))
✓	cost-diff	0	(neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y) #s(literal 1 binary64)))))
✓	cost-diff	320	(fma.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) t) x)
✓	cost-diff	0	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)
✓	cost-diff	0	(+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 y z)) t)) (-.f64 (.f64 x x) (/.f64 (.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 y z)) #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 y z))) (.f64 t t)))))
✓	cost-diff	2496	(/.f64 (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 y z)) t)) (-.f64 (.f64 x x) (/.f64 (.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 y z)) #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 y z))) (.f64 t t))))
✓	cost-diff	0	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y #s(approx (/ (- (exp z) 1) t) (.f64 z (fma.f64 z (/.f64 #s(literal 1/2 binary64) t) (/.f64 #s(literal 1 binary64) t))))))
✓	cost-diff	0	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y #s(approx (/ (- (exp z) 1) t) (.f64 z (fma.f64 z (/.f64 #s(literal 1/2 binary64) t) (/.f64 #s(literal 1 binary64) t)))))))
✓	cost-diff	320	(*.f64 z (fma.f64 z (/.f64 #s(literal 1/2 binary64) t) (/.f64 #s(literal 1 binary64) t)))
✓	cost-diff	384	(fma.f64 z (/.f64 #s(literal 1/2 binary64) t) (/.f64 #s(literal 1 binary64) t))
✓	cost-diff	0	(/.f64 y t)
✓	cost-diff	0	(*.f64 z (/.f64 y t))
✓	cost-diff	0	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 z (/.f64 y t)))
✓	cost-diff	0	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 z (/.f64 y t))))
✓	cost-diff	0	#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z)))
✓	cost-diff	0	(/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))))
✓	cost-diff	0	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))))))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z)))))

Rules

5 590×	`lower-fma.f32`
5 582×	`lower-fma.f64`
3 314×	`lower-*.f32`
3 296×	`lower-*.f64`
1 392×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	618
0	84	618
1	149	617
2	286	556
3	550	491
4	1150	489
5	2489	489
6	5078	489
0	8031	442

Stop Event

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

Calls

Call 1

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

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

localize431.0ms (2%)

Memory

-16.0MiB live, 480.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y) #s(literal 1 binary64))
✓	accuracy	98.7%	(fma.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) t) x)
✓	accuracy	75.3%	#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y) #s(literal 1 binary64)))
✓	accuracy	43.2%	(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y) #s(literal 1 binary64))))
✓	accuracy	91.7%	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)
✓	accuracy	81.5%	(/.f64 (.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 y z)) #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 y z))) (.f64 t t))
✓	accuracy	61.9%	(/.f64 (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 y z)) t)) (-.f64 (.f64 x x) (/.f64 (.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 y z)) #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 y z))) (.f64 t t))))
✓	accuracy	61.4%	#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))
✓	accuracy	99.7%	(*.f64 z (fma.f64 z (/.f64 #s(literal 1/2 binary64) t) (/.f64 #s(literal 1 binary64) t)))
✓	accuracy	97.4%	(.f64 y #s(approx (/ (- (exp z) 1) t) (.f64 z (fma.f64 z (/.f64 #s(literal 1/2 binary64) t) (/.f64 #s(literal 1 binary64) t)))))
✓	accuracy	82.1%	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y #s(approx (/ (- (exp z) 1) t) (.f64 z (fma.f64 z (/.f64 #s(literal 1/2 binary64) t) (/.f64 #s(literal 1 binary64) t))))))
✓	accuracy	68.9%	#s(approx (/ (- (exp z) 1) t) (*.f64 z (fma.f64 z (/.f64 #s(literal 1/2 binary64) t) (/.f64 #s(literal 1 binary64) t))))
✓	accuracy	100.0%	(/.f64 y t)
✓	accuracy	100.0%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 z (/.f64 y t))))
✓	accuracy	92.3%	(*.f64 z (/.f64 y t))
✓	accuracy	63.8%	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 z (/.f64 y t)))
✓	accuracy	100.0%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))))))
✓	accuracy	98.3%	(/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z)))))
✓	accuracy	92.2%	(/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))))
✓	accuracy	81.9%	#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z)))

Samples

323.0ms	223×	1	valid
9.0ms	30×	0	valid
5.0ms	3×	2	valid

Compiler

Compiled 444 to 46 computations (89.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 291.0ms

ival-mult: 168.0ms (57.8% of total)

ival-log: 39.0ms (13.4% of total)

ival-div: 23.0ms (7.9% of total)

adjust: 19.0ms (6.5% of total)

ival-exp: 18.0ms (6.2% of total)

ival-add: 10.0ms (3.4% of total)

ival-sub: 9.0ms (3.1% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series138.0ms (0.6%)

Memory

4.3MiB live, 236.1MiB allocated

Counts

25 → 864

Calls

Call 1

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

Outputs
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t)))>
#<alt (* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t)))>
#<alt (* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) t)) (* 1/3 (/ (pow (- (exp z) 1) 3) t)))))) (/ (exp z) t)) (/ 1 t)))>
#<alt (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)>
#<alt (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))>
#<alt (- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))>
#<alt (- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))))>
#<alt (/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)>
#<alt (- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))>
#<alt (+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 2))))) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t)))>
#<alt (+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (/ 1/3 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3)))) (+ (/ 1/2 (* t (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (+ 1 (* -1 (exp z))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t)))>
#<alt (/ (* y z) t)>
#<alt (* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))>
#<alt (* 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)))>
#<alt (* 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)))>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))>
#<alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t))>
#<alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t))>
#<alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))>
#<alt (* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))>
#<alt (* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))>
#<alt x>
#<alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))>
#<alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))>
#<alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))>
#<alt (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))>
#<alt (/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)>
#<alt (/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)>
#<alt (/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)>
#<alt x>
#<alt (+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))>
#<alt (+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))>
#<alt (+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))>
#<alt x>
#<alt (+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))>
#<alt (+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))>
#<alt (+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))>
#<alt x>
#<alt (+ x (* y (- (/ 1 t) (/ (exp z) t))))>
#<alt (+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t))))>
#<alt (+ 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))))>
#<alt (- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t)))>
#<alt (- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))>
#<alt (- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))>
#<alt (- (+ x (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))))>
#<alt (- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))>
#<alt (- (+ x (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))>
#<alt (- (+ x (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))>
#<alt (- (+ x (* -1 (/ (- (* -1 (/ (+ (* 1/3 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 3))))) (* 1/2 (/ 1 (* t (pow (+ 1 (* -1 (exp z))) 2))))) y)) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))>
#<alt x>
#<alt (+ x (* -1 (/ (* y z) t)))>
#<alt (+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))))>
#<alt (+ 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))))>
#<alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t))>
#<alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t))>
#<alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t))>
#<alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t))>
#<alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t))>
#<alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t))>
#<alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t))>
#<alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t))>
#<alt (/ t (log (- (+ 1 (* y (exp z))) y)))>
#<alt (/ t (log (- (+ 1 (* y (exp z))) y)))>
#<alt (/ t (log (- (+ 1 (* y (exp z))) y)))>
#<alt (/ t (log (- (+ 1 (* y (exp z))) y)))>
#<alt (/ t (log (- (+ 1 (* y (exp z))) y)))>
#<alt (/ t (log (- (+ 1 (* y (exp z))) y)))>
#<alt (/ t (log (- (+ 1 (* y (exp z))) y)))>
#<alt (/ t (log (- (+ 1 (* y (exp z))) y)))>
#<alt (/ t (log (- (+ 1 (* y (exp z))) y)))>
#<alt (/ t (log (- (+ 1 (* y (exp z))) y)))>
#<alt (/ t (log (- (+ 1 (* y (exp z))) y)))>
#<alt (/ t (log (- (+ 1 (* y (exp z))) y)))>
#<alt (/ t (* y (- (exp z) 1)))>
#<alt (/ (+ (* 1/2 (* t y)) (/ t (- (exp z) 1))) y)>
#<alt (/ (+ (* y (- (* -1 (* y (+ (* -1/4 (* t (- (exp z) 1))) (* 1/3 (* t (- (exp z) 1)))))) (* -1/2 t))) (/ t (- (exp z) 1))) y)>
#<alt (/ (+ (* y (- (* y (- (* -1 (* y (+ (* -1/4 (* t (pow (- (exp z) 1) 2))) (+ (* 1/6 (* t (pow (- (exp z) 1) 2))) (* 1/2 (* (+ (* -1/4 (* t (- (exp z) 1))) (* 1/3 (* t (- (exp z) 1)))) (- (exp z) 1))))))) (+ (* -1/4 (* t (- (exp z) 1))) (* 1/3 (* t (- (exp z) 1)))))) (* -1/2 t))) (/ t (- (exp z) 1))) y)>
#<alt (/ t (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))))>
#<alt (+ (* -1 (/ t (* y (* (pow (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) 2) (- (exp z) 1))))) (/ t (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y))))))>
#<alt (- (+ (* -1 (/ (+ (* -1 (/ t (* (pow (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) 3) (pow (- (exp z) 1) 2)))) (* -1/2 (/ t (* (pow (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) 2) (pow (- (exp z) 1) 2))))) (pow y 2))) (/ t (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))))) (/ t (* y (* (pow (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) 2) (- (exp z) 1)))))>
#<alt (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ t (* (pow (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) 3) (pow (- (exp z) 1) 2)))) (* -1/2 (/ t (* (pow (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) 2) (pow (- (exp z) 1) 2))))) (* (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) (- (exp z) 1)))) (+ (* 1/3 (/ t (* (pow (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) 2) (pow (- (exp z) 1) 3)))) (* 1/2 (/ t (* (pow (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) 3) (pow (- (exp z) 1) 3)))))) (pow y 3))) (/ t (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))))) (+ (* -1 (/ t (* (pow y 2) (* (pow (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) 3) (pow (- (exp z) 1) 2))))) (+ (* -1/2 (/ t (* (pow y 2) (* (pow (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) 2) (pow (- (exp z) 1) 2))))) (/ t (* y (* (pow (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) 2) (- (exp z) 1)))))))>
#<alt (/ t (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))))>
#<alt (+ (/ t (* y (* (+ 1 (* -1 (exp z))) (pow (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) 2)))) (/ t (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y))))))>
#<alt (+ (* -1 (/ (- (+ (* -1 (/ t (* y (* (pow (+ 1 (* -1 (exp z))) 2) (pow (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) 3))))) (* -1/2 (/ t (* y (* (pow (+ 1 (* -1 (exp z))) 2) (pow (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) 2)))))) (/ t (* (+ 1 (* -1 (exp z))) (pow (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) 2)))) y)) (/ t (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y))))))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ t (* (pow (+ 1 (* -1 (exp z))) 2) (pow (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) 3)))) (* -1/2 (/ t (* (pow (+ 1 (* -1 (exp z))) 2) (pow (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) 2))))) (* y (* (+ 1 (* -1 (exp z))) (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))))))) (+ (* 1/3 (/ t (* y (* (pow (+ 1 (* -1 (exp z))) 3) (pow (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) 2))))) (* 1/2 (/ t (* y (* (pow (+ 1 (* -1 (exp z))) 3) (pow (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) 3))))))) (+ (* -1 (/ t (* (pow (+ 1 (* -1 (exp z))) 2) (pow (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) 3)))) (* -1/2 (/ t (* (pow (+ 1 (* -1 (exp z))) 2) (pow (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) 2)))))) y)) (/ t (* (+ 1 (* -1 (exp z))) (pow (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) 2)))) y)) (/ t (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y))))))>
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#<alt (* z (+ (* z (+ (* 1/6 (/ (* y z) t)) (* 1/2 (/ y t)))) (/ y t)))>
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#<alt (/ (* y (- (exp z) 1)) t)>
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#<alt (/ (* y (- (exp z) 1)) t)>
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#<alt (/ (* y (- (exp z) 1)) t)>
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#<alt (* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1))>
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#<alt (+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* 1/2 (/ 1 (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (+ 1 (* -1 (exp z))))) y))))>
#<alt (+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (/ 1/3 (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3))) (+ (/ 1/2 (* y (pow (+ 1 (* -1 (exp z))) 2))) (/ 1 (+ 1 (* -1 (exp z)))))) y))))>
#<alt (* y z)>
#<alt (* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2)))))))>
#<alt (* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2))))))))>
#<alt (* 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)))))))))))>
#<alt (log (- (+ 1 (* y (exp z))) y))>
#<alt (log (- (+ 1 (* y (exp z))) y))>
#<alt (log (- (+ 1 (* y (exp z))) y))>
#<alt (log (- (+ 1 (* y (exp z))) y))>
#<alt (log (- (+ 1 (* y (exp z))) y))>
#<alt (log (- (+ 1 (* y (exp z))) y))>
#<alt (log (- (+ 1 (* y (exp z))) y))>
#<alt (log (- (+ 1 (* y (exp z))) y))>
#<alt (/ (* (pow y 2) (pow (- (exp z) 1) 2)) (pow t 2))>
#<alt (* (pow y 2) (+ (* -1 (/ (* y (pow (- (exp z) 1) 3)) (pow t 2))) (/ (pow (- (exp z) 1) 2) (pow t 2))))>
#<alt (* (pow y 2) (+ (* y (+ (* -1 (/ (pow (- (exp z) 1) 3) (pow t 2))) (* y (+ (* 1/4 (/ (pow (- (exp z) 1) 4) (pow t 2))) (* 2/3 (/ (pow (- (exp z) 1) 4) (pow t 2))))))) (/ (pow (- (exp z) 1) 2) (pow t 2))))>
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#<alt (/ (* (pow y 2) (pow z 2)) (pow t 2))>
#<alt (* (pow z 2) (+ (/ (* y (* z (+ y (* -1 (pow y 2))))) (pow t 2)) (/ (pow y 2) (pow t 2))))>
#<alt (* (pow z 2) (+ (* z (+ (* z (+ (* 1/4 (/ (pow (+ y (* -1 (pow y 2))) 2) (pow t 2))) (* 1/3 (/ (* y (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (pow t 2))))) (/ (* y (+ y (* -1 (pow y 2)))) (pow t 2)))) (/ (pow y 2) (pow t 2))))>
#<alt (* (pow z 2) (+ (* z (+ (* z (+ (* 1/4 (/ (pow (+ y (* -1 (pow y 2))) 2) (pow t 2))) (+ (* 1/3 (/ (* y (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (pow t 2))) (* z (+ (* 1/12 (/ (* y (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) (pow t 2))) (* 1/6 (/ (* (+ y (* -1 (pow y 2))) (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (pow t 2)))))))) (/ (* y (+ y (* -1 (pow y 2)))) (pow t 2)))) (/ (pow y 2) (pow t 2))))>
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#<alt (* 1/2 (* y (pow z 2)))>
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#<alt (* (pow z 2) (+ (* -1 (/ (- (* -1 y) (/ 1 z)) z)) (* 1/2 y)))>
#<alt (* (pow z 2) (+ (* -1 (/ (- (* -1 y) (/ 1 z)) z)) (* 1/2 y)))>
#<alt 1>
#<alt (+ 1 (* y (* z (+ 1 (* 1/2 z)))))>
#<alt (+ 1 (* y (* z (+ 1 (* 1/2 z)))))>
#<alt (+ 1 (* y (* z (+ 1 (* 1/2 z)))))>
#<alt (* y (* z (+ 1 (* 1/2 z))))>
#<alt (* y (+ (* z (+ 1 (* 1/2 z))) (/ 1 y)))>
#<alt (* y (+ (* z (+ 1 (* 1/2 z))) (/ 1 y)))>
#<alt (* y (+ (* z (+ 1 (* 1/2 z))) (/ 1 y)))>
#<alt (* -1 (* y (* z (- (* -1/2 z) 1))))>
#<alt (* -1 (* y (- (* z (- (* -1/2 z) 1)) (/ 1 y))))>
#<alt (* -1 (* y (- (* z (- (* -1/2 z) 1)) (/ 1 y))))>
#<alt (* -1 (* y (- (* z (- (* -1/2 z) 1)) (/ 1 y))))>

Calls

216 calls:

Time	Variable		Point	Expression
48.0ms	y	@	inf	(/ (+ x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (- (* x x) (/ (* (log (+ (- 1 y) (* y (exp z)))) (log (+ (- 1 y) (* y (exp z))))) (* t t))))
10.0ms	y	@	inf	(/ 1 (/ (+ x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (- (* x x) (/ (* (log (+ (- 1 y) (* y (exp z)))) (log (+ (- 1 y) (* y (exp z))))) (* t t)))))
7.0ms	y	@	-inf	(/ (+ x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (- (* x x) (/ (* (log (+ (- 1 y) (* y (exp z)))) (log (+ (- 1 y) (* y (exp z))))) (* t t))))
5.0ms	y	@	inf	(/ (* (log (+ (- 1 y) (* y (exp z)))) (log (+ (- 1 y) (* y (exp z))))) (* t t))
4.0ms	y	@	-inf	(/ 1 (/ (+ x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (- (* x x) (/ (* (log (+ (- 1 y) (* y (exp z)))) (log (+ (- 1 y) (* y (exp z))))) (* t t)))))

simplify582.0ms (2.7%)

Memory

16.2MiB live, 720.2MiB allocated

Algorithm

1×	egg-herbie

Rules

6 882×	`lower-*.f64`
6 882×	`lower-*.f32`
6 502×	`lower-fma.f64`
6 502×	`lower-fma.f32`
4 520×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1412	22302
1	4574	21513
0	8855	17944

Stop Event

1×	iter limit
1×	node limit

Counts

864 → 828

Calls

Call 1

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

rewrite474.0ms (2.2%)

Memory

24.9MiB live, 645.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 158×	`lower-*.f32`
5 140×	`lower-*.f64`
3 864×	`lower-/.f32`
3 846×	`lower-/.f64`
3 484×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	497
0	84	460
1	347	405
2	2784	405
0	8651	387

Stop Event

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

Counts

25 → 503

Calls

Call 1

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

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

eval234.0ms (1.1%)

Memory: 8.1MiB live, 520.4MiB allocated
Compiler: Compiled 41 192 to 3 499 computations (91.5% saved)

prune203.0ms (0.9%)

Memory

-26.8MiB live, 474.6MiB allocated

Pruning

43 alts after pruning (35 fresh and 8 done)

	Pruned	Kept	Total
New	1 367	18	1 385
Fresh	8	17	25
Picked	2	3	5
Done	0	5	5
Total	1 377	43	1 420

Accuracy

99.3%

Counts

1 420 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
	69.9%	(fma.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) t) x)
	34.5%	(fma.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 y (expm1.f64 z))))) (/.f64 #s(literal 1 binary64) t) x)
	72.4%	(fma.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))) (/.f64 #s(literal 1 binary64) t) x)
	36.6%	(/.f64 (-.f64 (.f64 x x) (.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 y z)) (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 y z)) (.f64 t t)))) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)))
	43.0%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 y z)) t)) (-.f64 (.f64 x x) (/.f64 (.f64 (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 y z)) t) #s(approx (log (+ (- 1 y) ( y (exp z)))) (*.f64 y z))) t))))
	42.5%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 y z)) t)) (-.f64 (.f64 x x) (.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 y z)) (.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))))))
	34.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 y (/.f64 z t) x)) (-.f64 (.f64 x x) (/.f64 (.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 y z)) #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 y z))) (.f64 t t)))))
	56.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (- (* x x) (/ (* (log (+ (- 1 y) (* y (exp z)))) (log (+ (- 1 y) (* y (exp z))))) (* t t)))) (fma.f64 y (/.f64 z (.f64 t (.f64 x x))) (/.f64 #s(literal 1 binary64) x))))
	68.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (- (* x x) (/ (* (log (+ (- 1 y) (* y (exp z)))) (log (+ (- 1 y) (* y (exp z))))) (* t t)))) (/.f64 #s(literal 1 binary64) x)))
	69.9%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t))
	26.4%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* z (+ (* y (* z 1/2)) y)) 1) (.f64 z (fma.f64 y (.f64 z #s(literal 1/2 binary64)) y))))) t))
	69.0%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* z (+ (* y (* z 1/2)) y)) 1) #s(literal 1 binary64)))) t))
✓	67.8%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 z (fma.f64 z #s(approx (+ ( (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y))) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y))) t))
	67.8%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 z (+.f64 (.f64 z #s(approx (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y))) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) y))) t))
	55.0%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 z #s(approx (+ ( z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (.f64 (.f64 y y) (.f64 y (.f64 z (*.f64 z #s(literal 1/3 binary64)))))))) t))
✓	85.0%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) t))
✓	72.4%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))
	68.5%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* y (- (exp z) 1)) (.f64 z (fma.f64 y (.f64 z #s(literal 1/2 binary64)) y)))) t))
	64.3%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y) #s(literal 1 binary64)))))))
✓	85.0%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))))))
	72.4%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))))
	88.1%	(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y))))
	51.6%	(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 t (.f64 z (-.f64 y (.f64 y y)))) (.f64 y y)) (/.f64 t y)) z))))
	81.7%	(-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) t) (pow.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y)))) #s(literal -1 binary64))))
	71.6%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y))))
✓	70.8%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 z (/.f64 y t))))
	54.7%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 (.f64 (/.f64 (-.f64 (.f64 (.f64 z #s(literal 1/2 binary64)) (.f64 z #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 t t)) z) (/.f64 (-.f64 (*.f64 z #s(literal 1/2 binary64)) #s(literal 1 binary64)) t))))))
✓	73.1%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))))
	67.0%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y #s(approx (/ (- (exp z) 1) t) (.f64 z (fma.f64 z (fma.f64 z (fma.f64 #s(literal 1/24 binary64) (/.f64 z t) (/.f64 #s(literal 1/6 binary64) t)) (/.f64 #s(literal 1/2 binary64) t)) (/.f64 #s(literal 1 binary64) t)))))))
✓	69.6%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y #s(approx (/ (- (exp z) 1) t) (.f64 z (fma.f64 z (/.f64 #s(literal 1/2 binary64) t) (/.f64 #s(literal 1 binary64) t)))))))
	50.7%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y #s(approx (/ (- (exp z) 1) t) (.f64 z (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 t (.f64 z #s(literal 1/2 binary64))) t) (.f64 t (/.f64 t (*.f64 z #s(literal 1/2 binary64))))))))))
	58.4%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y #s(approx (/ (- (exp z) 1) t) (.f64 z #s(approx (+ (* z (/ 1/2 t)) (/ 1 t)) (/.f64 (*.f64 z #s(literal 1/2 binary64)) t)))))))
	66.9%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y #s(approx (/ (- (exp z) 1) t) (.f64 z #s(approx (+ (* z (+ (* z (+ (* z (/ 1/24 t)) (/ 1/6 t))) (/ 1/2 t))) (/ 1 t)) (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) t)))))))
	55.4%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y #s(approx (/ (- (exp z) 1) t) (.f64 z #s(approx (+ (* z (+ (* z (+ (* z (/ 1/24 t)) (/ 1/6 t))) (/ 1/2 t))) (/ 1 t)) (/.f64 (.f64 (.f64 z (*.f64 z #s(literal 1/24 binary64))) z) t)))))))
	46.5%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y #s(approx (/ (- (exp z) 1) t) (.f64 z #s(approx (+ (* z (+ (* z (+ (* z (/ 1/24 t)) (/ 1/6 t))) (/ 1/2 t))) (/ 1 t)) (.f64 (.f64 z (.f64 z z)) (+.f64 (/.f64 #s(literal 1/24 binary64) t) (/.f64 #s(literal 1/6 binary64) (.f64 z t))))))))))
	68.0%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y #s(approx (/ (- (exp z) 1) t) #s(approx ( z (+ (* z (/ 1/2 t)) (/ 1 t))) (/.f64 (*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1 binary64))) (neg.f64 t)))))))
	56.7%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y #s(approx (/ (- (exp z) 1) t) #s(approx ( z (+ (* z (/ 1/2 t)) (/ 1 t))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 z z)) t))))))
	36.5%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 y z)) t))) (-.f64 (.f64 x x) (.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 y z)) (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 y z)) (.f64 t t)))))
	31.4%	#s(approx (/ 1 (/ (+ x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (- (* x x) (/ (* (log (+ (- 1 y) (* y (exp z)))) (log (+ (- 1 y) (* y (exp z))))) (* t t))))) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))
✓	86.0%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (.f64 t x)) (neg.f64 x) x))
	83.4%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x) (/.f64 (neg.f64 x) t) x))
	68.9%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (.f64 z (fma.f64 y (.f64 z #s(literal 1/2 binary64)) y)))) (*.f64 t x)) (neg.f64 x) x))
	73.5%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (.f64 y z))) (.f64 t x)) (neg.f64 x) x))

Compiler

Compiled 2 085 to 824 computations (60.5% saved)

regimes195.0ms (0.9%)

Memory

33.5MiB live, 265.4MiB allocated

Counts

64 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

9 calls:

52.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
24.0ms	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
19.0ms	t
19.0ms	z
18.0ms	y

Results

Accuracy	Segments	Branch
96.1%	3	`x`
95.9%	3	`y`
93.1%	2	`z`
93.7%	3	`t`
94.7%	3	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
95.1%	3	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
96.7%	3	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
96.7%	3	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
93.1%	2	`(exp.f64 z)`

Compiler

Compiled 83 to 63 computations (24.1% saved)

regimes164.0ms (0.8%)

Memory

-26.8MiB live, 252.1MiB allocated

Counts

57 → 2

Calls

Call 1

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

Outputs

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

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

Calls

9 calls:

44.0ms	y
17.0ms	z
17.0ms	t
16.0ms	x
14.0ms	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))

Results

Accuracy	Segments	Branch
88.1%	1	`t`
92.0%	3	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
88.1%	1	`z`
88.1%	1	`(exp.f64 z)`
94.9%	4	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
90.0%	2	`y`
88.1%	1	`x`
92.1%	2	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
92.1%	2	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`

Compiler

Compiled 83 to 63 computations (24.1% saved)

regimes91.0ms (0.4%)

Memory

13.8MiB live, 99.7MiB allocated

Counts

53 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

30.0ms	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
21.0ms	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
14.0ms	y
12.0ms	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
11.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))

Results

Accuracy	Segments	Branch
88.6%	2	`y`
90.3%	3	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
91.1%	3	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
89.9%	2	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
89.9%	2	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`

Compiler

Compiled 62 to 46 computations (25.8% saved)

regimes115.0ms (0.5%)

Memory

-7.9MiB live, 226.6MiB allocated

Counts

46 → 2

Calls

Call 1

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

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

Calls

9 calls:

15.0ms	z
14.0ms	y
14.0ms	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
13.0ms	t
12.0ms	x

Results

Accuracy	Segments	Branch
88.2%	2	`y`
86.1%	1	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
88.0%	2	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
86.1%	1	`z`
86.1%	1	`(exp.f64 z)`
86.1%	1	`x`
86.1%	1	`t`
86.1%	1	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
86.1%	1	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`

Compiler

Compiled 83 to 63 computations (24.1% saved)

regimes105.0ms (0.5%)

Memory

34.6MiB live, 112.8MiB allocated

Counts

44 → 1

Calls

Call 1

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

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

Calls

4 calls:

65.0ms	y
15.0ms	(exp.f64 z)
12.0ms	z
10.0ms	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)

Results

Accuracy	Segments	Branch
86.1%	1	`z`
86.1%	1	`(exp.f64 z)`
86.1%	1	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
86.1%	1	`y`

Compiler

Compiled 31 to 24 computations (22.6% saved)

regimes183.0ms (0.8%)

Memory

-11.7MiB live, 148.6MiB allocated

Counts

42 → 2

Calls

Call 1

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

Outputs

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

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

Calls

9 calls:

40.0ms	z
33.0ms	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
22.0ms	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
11.0ms	t
11.0ms	x

Results

Accuracy	Segments	Branch
77.1%	3	`x`
73.1%	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)))`
75.3%	2	`t`
73.1%	1	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
73.1%	1	`y`
80.6%	2	`z`
80.6%	2	`(exp.f64 z)`

Compiler

Compiled 83 to 63 computations (24.1% saved)

regimes36.0ms (0.2%)

Memory

-26.9MiB live, 12.6MiB allocated

Counts

40 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

11.0ms	z
9.0ms	(exp.f64 z)

Results

Accuracy	Segments	Branch
80.5%	2	`(exp.f64 z)`
80.5%	2	`z`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes10.0ms (0%)

Memory

19.0MiB live, 19.0MiB allocated

Counts

29 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
80.5%	2	`z`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes10.0ms (0%)

Memory

17.3MiB live, 17.3MiB allocated

Counts

17 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

5.0ms	z
4.0ms	(exp.f64 z)

Results

Accuracy	Segments	Branch
80.4%	2	`(exp.f64 z)`
80.4%	2	`z`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes15.0ms (0.1%)

Memory

-23.6MiB live, 14.6MiB allocated

Counts

11 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

11.0ms	z
3.0ms	(exp.f64 z)

Results

Accuracy	Segments	Branch
80.1%	2	`(exp.f64 z)`
80.3%	2	`z`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes10.0ms (0%)

Memory

21.1MiB live, 21.1MiB allocated

Accuracy

Total -2.7b remaining (-15.6%)

Threshold costs -2.7b (-15.6%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

6 calls:

2.0ms	x
2.0ms	z
2.0ms	t
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)))

Results

Accuracy	Segments	Branch
73.1%	1	`t`
73.1%	1	`x`
73.1%	1	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
73.1%	1	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
73.1%	1	`(exp.f64 z)`
73.1%	1	`z`

Compiler

Compiled 46 to 36 computations (21.7% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0008887465194205	1.0568783031740435e+23
0.0ms	0.0	0.9999999999999999

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9999999999999999

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9999999999999999

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch210.0ms (1%)

Memory

-25.6MiB live, 102.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
204.0ms	4.702245046589556e+228	6.401138045002923e+241

Samples

101.0ms	83×	1	invalid
81.0ms	152×	1	valid
9.0ms	131×	0	invalid
1.0ms	8×	0	valid

Compiler

Compiled 310 to 209 computations (32.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 177.0ms

ival-log: 103.0ms (58.1% of total)

ival-exp: 51.0ms (28.8% of total)

adjust: 6.0ms (3.4% of total)

ival-sub: 6.0ms (3.4% of total)

ival-div: 4.0ms (2.3% of total)

ival-mult: 4.0ms (2.3% of total)

ival-add: 3.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

bsearch56.0ms (0.3%)

Memory

15.2MiB live, 51.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
53.0ms	-9.617783990389367e+24	-2870623069236361000.0

Samples

13.0ms	51×	1	valid
8.0ms	93×	0	valid
2.0ms	27×	0	invalid

Compiler

Compiled 407 to 271 computations (33.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-log: 8.0ms (48.1% of total)

ival-sub: 2.0ms (12% of total)

ival-div: 2.0ms (12% of total)

ival-add: 1.0ms (6% of total)

adjust: 1.0ms (6% of total)

ival-exp: 1.0ms (6% of total)

ival-mult: 1.0ms (6% of total)

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-9.617783990389367e+24	-2870623069236361000.0

Compiler

Compiled 398 to 262 computations (34.2% saved)

bsearch1.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-9.617783990389367e+24	-2870623069236361000.0

Compiler

Compiled 353 to 235 computations (33.4% saved)

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-9.617783990389367e+24	-2870623069236361000.0

Compiler

Compiled 308 to 208 computations (32.5% saved)

bsearch41.0ms (0.2%)

Memory

-5.0MiB live, 34.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
39.0ms	-2.791488234088788e+59	-2.32037750758843e+58

Samples

12.0ms	47×	1	valid
4.0ms	49×	0	valid
1.0ms	14×	0	invalid

Compiler

Compiled 170 to 115 computations (32.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-log: 8.0ms (58.2% of total)

ival-sub: 1.0ms (7.3% of total)

ival-add: 1.0ms (7.3% of total)

ival-div: 1.0ms (7.3% of total)

adjust: 1.0ms (7.3% of total)

ival-exp: 1.0ms (7.3% of total)

ival-mult: 1.0ms (7.3% of total)

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

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

exact: 0.0ms (0% of total)

simplify36.0ms (0.2%)

Memory

-19.9MiB live, 23.3MiB allocated

Algorithm

1×	egg-herbie

Rules

66×	`*-commutative_binary64`
58×	`+-commutative_binary64`
58×	`sub-neg_binary64`
40×	`neg-sub0_binary64`
40×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	137	763
1	179	763
2	226	763
3	265	763
4	291	763
5	299	763
6	301	763

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) #s(approx (- x (/ (log (+ (- 1 y) ( y (exp z)))) t)) (fma.f64 (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (.f64 y z))) (.f64 t x)) (neg.f64 x) x)) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 2 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) ( y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y t) (/.f64 t (expm1.f64 z))) y)))) (fma.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (*.f64 y (expm1.f64 z))))) (/.f64 #s(literal 1 binary64) t) x)))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) #s(approx (- x (/ (log (+ (- 1 y) ( y (exp z)))) t)) (fma.f64 (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (.f64 y z))) (.f64 t x)) (neg.f64 x) x)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y)))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) #s(approx (- x (/ (log (+ (- 1 y) ( y (exp z)))) t)) (fma.f64 (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (.f64 y z))) (.f64 t x)) (neg.f64 x) x)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 (expm1.f64 z) t)))))
(if (<=.f64 y #s(literal 5200000000000000146085348235424730840406459448414405501897724801916891252372440359442683467859417036958384272345123353755945752372850042857172810454379959582887900780538911927352850362976027481759492805972396044905452073318875136 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y (/.f64 (expm1.f64 z) t)))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 (expm1.f64 z) t))))
(if (<=.f64 z #s(literal -2900000000000000000 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y #s(approx (/ (- (exp z) 1) t) (.f64 z (fma.f64 z (fma.f64 z (fma.f64 #s(literal 1/24 binary64) (/.f64 z t) (/.f64 #s(literal 1/6 binary64) t)) (/.f64 #s(literal 1/2 binary64) t)) (/.f64 #s(literal 1 binary64) t))))))))
(if (<=.f64 z #s(literal -2900000000000000000 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (- (* x x) (/ (* (log (+ (- 1 y) (* y (exp z)))) (log (+ (- 1 y) (* y (exp z))))) (* t t)))) (/.f64 #s(literal 1 binary64) x))) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y #s(approx (/ (- (exp z) 1) t) (.f64 z (fma.f64 z (fma.f64 z (fma.f64 #s(literal 1/24 binary64) (/.f64 z t) (/.f64 #s(literal 1/6 binary64) t)) (/.f64 #s(literal 1/2 binary64) t)) (/.f64 #s(literal 1 binary64) t))))))))
(if (<=.f64 z #s(literal -2900000000000000000 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (- (* x x) (/ (* (log (+ (- 1 y) (* y (exp z)))) (log (+ (- 1 y) (* y (exp z))))) (* t t)))) (/.f64 #s(literal 1 binary64) x))) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y #s(approx (/ (- (exp z) 1) t) (.f64 z #s(approx (+ (* z (+ (* z (+ (* z (/ 1/24 t)) (/ 1/6 t))) (/ 1/2 t))) (/ 1 t)) (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) t))))))))
(if (<=.f64 z #s(literal -2900000000000000000 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (- (* x x) (/ (* (log (+ (- 1 y) (* y (exp z)))) (log (+ (- 1 y) (* y (exp z))))) (* t t)))) (/.f64 #s(literal 1 binary64) x))) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y #s(approx (/ (- (exp z) 1) t) #s(approx ( z (+ (* z (/ 1/2 t)) (/ 1 t))) (/.f64 (*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1 binary64))) (neg.f64 t))))))))
(if (<=.f64 z #s(literal -27999999999999997869215941965092587745839075583627913854976 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (- (* x x) (/ (* (log (+ (- 1 y) (* y (exp z)))) (log (+ (- 1 y) (* y (exp z))))) (* t t)))) (/.f64 #s(literal 1 binary64) x))) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))))

Outputs
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) #s(approx (- x (/ (log (+ (- 1 y) ( y (exp z)))) t)) (fma.f64 (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (.f64 y z))) (.f64 t x)) (neg.f64 x) x)) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 2 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) ( y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y t) (/.f64 t (expm1.f64 z))) y)))) (fma.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (*.f64 y (expm1.f64 z))))) (/.f64 #s(literal 1 binary64) t) x)))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) #s(approx (- x (/ (log (+ (- 1 y) ( y (exp z)))) t)) (fma.f64 (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (.f64 y z))) (.f64 x t)) (neg.f64 x) x)) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 2 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) #s(approx (/ t (log (+ (- 1 y) ( y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y t) (/.f64 t (expm1.f64 z))) y)))) (fma.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (*.f64 y (expm1.f64 z))))) (/.f64 #s(literal 1 binary64) t) x)))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) #s(approx (- x (/ (log (+ (- 1 y) ( y (exp z)))) t)) (fma.f64 (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (.f64 y z))) (.f64 t x)) (neg.f64 x) x)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y)))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) #s(approx (- x (/ (log (+ (- 1 y) ( y (exp z)))) t)) (fma.f64 (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (.f64 y z))) (.f64 x t)) (neg.f64 x) x)) (+.f64 x (/.f64 #s(literal -1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y)))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) #s(approx (- x (/ (log (+ (- 1 y) ( y (exp z)))) t)) (fma.f64 (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (.f64 y z))) (.f64 t x)) (neg.f64 x) x)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 (expm1.f64 z) t)))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) #s(approx (- x (/ (log (+ (- 1 y) ( y (exp z)))) t)) (fma.f64 (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (.f64 y z))) (.f64 x t)) (neg.f64 x) x)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 (expm1.f64 z) t)))))
(if (<=.f64 y #s(literal 5200000000000000146085348235424730840406459448414405501897724801916891252372440359442683467859417036958384272345123353755945752372850042857172810454379959582887900780538911927352850362976027481759492805972396044905452073318875136 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y (/.f64 (expm1.f64 z) t)))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 (expm1.f64 z) t))))
(if (<=.f64 z #s(literal -2900000000000000000 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y #s(approx (/ (- (exp z) 1) t) (.f64 z (fma.f64 z (fma.f64 z (fma.f64 #s(literal 1/24 binary64) (/.f64 z t) (/.f64 #s(literal 1/6 binary64) t)) (/.f64 #s(literal 1/2 binary64) t)) (/.f64 #s(literal 1 binary64) t))))))))
(if (<=.f64 z #s(literal -2900000000000000000 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (- (* x x) (/ (* (log (+ (- 1 y) (* y (exp z)))) (log (+ (- 1 y) (* y (exp z))))) (* t t)))) (/.f64 #s(literal 1 binary64) x))) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y #s(approx (/ (- (exp z) 1) t) (.f64 z (fma.f64 z (fma.f64 z (fma.f64 #s(literal 1/24 binary64) (/.f64 z t) (/.f64 #s(literal 1/6 binary64) t)) (/.f64 #s(literal 1/2 binary64) t)) (/.f64 #s(literal 1 binary64) t))))))))
(if (<=.f64 z #s(literal -2900000000000000000 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (- (* x x) (/ (* (log (+ (- 1 y) (* y (exp z)))) (log (+ (- 1 y) (* y (exp z))))) (* t t)))) (/.f64 #s(literal 1 binary64) x))) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y #s(approx (/ (- (exp z) 1) t) (.f64 z #s(approx (+ (* z (+ (* z (+ (* z (/ 1/24 t)) (/ 1/6 t))) (/ 1/2 t))) (/ 1 t)) (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) t))))))))
(if (<=.f64 z #s(literal -2900000000000000000 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (- (* x x) (/ (* (log (+ (- 1 y) (* y (exp z)))) (log (+ (- 1 y) (* y (exp z))))) (* t t)))) (/.f64 #s(literal 1 binary64) x))) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 y #s(approx (/ (- (exp z) 1) t) #s(approx ( z (+ (* z (/ 1/2 t)) (/ 1 t))) (/.f64 (*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1 binary64))) (neg.f64 t))))))))
(if (<=.f64 z #s(literal -27999999999999997869215941965092587745839075583627913854976 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (- (* x x) (/ (* (log (+ (- 1 y) (* y (exp z)))) (log (+ (- 1 y) (* y (exp z))))) (* t t)))) (/.f64 #s(literal 1 binary64) x))) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))))

soundness1.9s (8.6%)

Memory

1.2MiB live, 966.6MiB allocated

Rules

15 758×	`lower-fma.f64`
15 758×	`lower-fma.f32`
12 484×	`lower-fma.f64`
12 484×	`lower-fma.f32`
10 698×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	552
0	104	552
1	469	552
2	4157	552
0	10826	538
0	855	14855
1	2820	14171
0	8704	11460
0	704	13349
1	2309	12747
2	7308	12617
0	8363	10232
0	1412	22302
1	4574	21513
0	8855	17944
0	71	631
0	111	631
1	517	625
2	4436	625
0	8355	595
0	332	2266
1	1006	2162
2	3144	2115
0	8176	1646

Stop Event

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

Compiler

Compiled 887 to 457 computations (48.5% saved)

preprocess116.0ms (0.5%)

Memory: 16.2MiB live, 256.9MiB allocated
Compiler: Compiled 790 to 250 computations (68.4% 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

analyze355.0ms (1.6%)

sample8.0s (36.8%)

preprocess266.0ms (1.2%)

explain423.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify46.0ms (0.2%)

localize142.0ms (0.7%)

series102.0ms (0.5%)

simplify504.0ms (2.3%)

rewrite455.0ms (2.1%)

eval58.0ms (0.3%)

prune138.0ms (0.6%)

simplify521.0ms (2.4%)

localize1.0s (4.7%)

series79.0ms (0.4%)

simplify487.0ms (2.3%)

rewrite546.0ms (2.5%)

eval204.0ms (0.9%)

prune174.0ms (0.8%)

simplify392.0ms (1.8%)

localize613.0ms (2.8%)

series296.0ms (1.4%)

simplify574.0ms (2.6%)

rewrite376.0ms (1.7%)

eval223.0ms (1%)

prune127.0ms (0.6%)

simplify247.0ms (1.1%)

localize431.0ms (2%)

series138.0ms (0.6%)

simplify582.0ms (2.7%)

rewrite474.0ms (2.2%)

eval234.0ms (1.1%)

prune203.0ms (0.9%)

regimes195.0ms (0.9%)

regimes164.0ms (0.8%)

regimes91.0ms (0.4%)

regimes115.0ms (0.5%)

regimes105.0ms (0.5%)

regimes183.0ms (0.8%)

regimes36.0ms (0.2%)

regimes10.0ms (0%)

regimes10.0ms (0%)

regimes15.0ms (0.1%)

regimes10.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch210.0ms (1%)

bsearch56.0ms (0.3%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch41.0ms (0.2%)

simplify36.0ms (0.2%)

soundness1.9s (8.6%)

preprocess116.0ms (0.5%)

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