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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze356.0ms (1.9%)

Memory

34.2MiB live, 492.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 14 computations (6.7% saved)

sample8.8s (45.7%)

Memory

101.8MiB live, 5 700.1MiB allocated

Samples

3.3s	4 497×	1	valid
1.6s	3 759×	0	valid
1.4s	1 239×	5	exit
533.0ms	666×	1	invalid
516.0ms	378×	4	exit
366.0ms	1 818×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 5.6s

ival-sub: 1.5s (27.2% of total)

ival-log: 1.5s (26.7% of total)

ival-exp: 883.0ms (15.8% of total)

ival-div: 790.0ms (14.1% of total)

ival-add: 353.0ms (6.3% of total)

adjust: 328.0ms (5.9% of total)

ival-mult: 199.0ms (3.6% of total)

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

exact: 9.0ms (0.2% of total)

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

Bogosity

explain394.0ms (2%)

Memory

-66.5MiB live, 386.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
148	53	(5.280768229078765e+119 -6.174513312143178e-54 -3.542132924494268e-297 -1.606152107654086e-41)	0	-	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
75	4	(3.586126892230852e+60 -2849223965.430054 3.3560683300059537e-100 2.4414250918470855e+45)	0	-	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
19	0	-	1	(-5.000136541510732e+36 -9.255256140575206e-236 3.6535727386244237e-76 -8.10552096419588e-276)	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
0	0	-	0	-	`(-.f64 #s(literal 1 binary64) y)`
0	0	-	0	-	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
0	0	-	0	-	`t`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`z`
0	0	-	0	-	`y`
0	0	-	0	-	`(*.f64 y (exp.f64 z))`
0	0	-	0	-	`x`
0	0	-	0	-	`(exp.f64 z)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`	sensitivity	200	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	6	0
↳	`(exp.f64 z)`	underflow	63
↳	`(*.f64 y (exp.f64 z))`	underflow	63
↳	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`	underflow	52
`log.f64`	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`	oflow-rescue	1	0
↳	`(exp.f64 z)`	overflow	1
↳	`(*.f64 y (exp.f64 z))`	overflow	1
↳	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`	overflow	1

Confusion

	Predicted +	Predicted -
+	93	13
-	119	31

Precision

0.4386792452830189

Recall

0.8773584905660378

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	93	0	13
-	119	0	31

Precision?

0.4386792452830189

Recall?

0.8773584905660378

Freqs

test

number	freq
0	44
1	186
2	26

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

150.0ms	124×	2	valid
132.0ms	318×	1	valid
7.0ms	70×	0	valid

Compiler

Compiled 127 to 40 computations (68.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 250.0ms

ival-log: 122.0ms (48.7% of total)

ival-exp: 56.0ms (22.4% of total)

ival-div: 35.0ms (14% of total)

adjust: 14.0ms (5.6% of total)

ival-sub: 10.0ms (4% of total)

ival-mult: 6.0ms (2.4% of total)

ival-add: 5.0ms (2% of total)

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

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

exact: 0.0ms (0% of total)

preprocess267.0ms (1.4%)

Memory

-10.8MiB live, 62.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 13 to 12 computations (7.7% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.4%	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify41.0ms (0.2%)

Memory

15.3MiB live, 50.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize139.0ms (0.7%)

Memory

-16.1MiB live, 191.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(*.f64 y (exp.f64 z))
accuracy	4.341767764843112	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
accuracy	17.887427120403597	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
accuracy	33.77732809630776	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))

Samples

61.0ms	159×	1	valid
47.0ms	62×	2	valid
13.0ms	35×	0	valid

Compiler

Compiled 57 to 14 computations (75.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 104.0ms

ival-log: 47.0ms (45.1% of total)

ival-exp: 25.0ms (24% of total)

ival-div: 14.0ms (13.4% of total)

adjust: 7.0ms (6.7% of total)

ival-sub: 5.0ms (4.8% of total)

ival-mult: 3.0ms (2.9% 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)

series182.0ms (0.9%)

Memory

2.9MiB live, 161.1MiB allocated

Counts

5 → 156

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
62.0ms	t	@	inf	((+ (- 1 y) (* y (exp z))) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z)))
36.0ms	z	@	inf	((+ (- 1 y) (* y (exp z))) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z)))
32.0ms	t	@	0	((+ (- 1 y) (* y (exp z))) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z)))
25.0ms	z	@	-inf	((+ (- 1 y) (* y (exp z))) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z)))
9.0ms	t	@	-inf	((+ (- 1 y) (* y (exp z))) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z)))

simplify217.0ms (1.1%)

Memory

32.9MiB live, 224.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 149

Calls

Call 1

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

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

rewrite226.0ms (1.2%)

Memory

-0.6MiB live, 315.4MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 287

Calls

Call 1

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

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

eval159.0ms (0.8%)

Memory: -28.4MiB live, 175.4MiB allocated
Compiler: Compiled 12 692 to 1 636 computations (87.1% saved)

prune67.0ms (0.3%)

Memory

22.3MiB live, 60.3MiB allocated

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	418	18	436
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	419	18	437

Accuracy

100.0%

Counts

437 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.7%	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x)
	66.5%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t))
▶	67.0%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)))) t))
	73.4%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
	35.0%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))
	73.4%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
	12.0%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t))
	61.5%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) z) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t))
	66.1%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t))
	86.1%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
	77.3%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
	83.8%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))))))
	50.7%	(-.f64 x (-.f64 (/.f64 (log.f64 (+.f64 (pow.f64 (.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))) t) (/.f64 (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (.f64 (exp.f64 z) y) #s(literal 2 binary64)))) t)))
	71.7%	(-.f64 x (*.f64 (pow.f64 (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) #s(literal -1/2 binary64))))
▶	59.6%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (/.f64 z t)) #s(literal 1/6 binary64) (.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64))) z (/.f64 y t)) z)))
▶	87.0%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
▶	74.9%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
	28.0%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))

Compiler

Compiled 566 to 454 computations (19.8% saved)

simplify361.0ms (1.9%)

Memory

-16.2MiB live, 139.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))
cost-diff	0	(/.f64 #s(literal -1 binary64) t)
cost-diff	192	(fma.f64 (exp.f64 z) y (neg.f64 y))
cost-diff	192	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x)
cost-diff	0	#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)))
cost-diff	0	(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64))))
cost-diff	0	(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)))) t)
cost-diff	0	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)))) t))
cost-diff	0	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (/.f64 z t)) #s(literal 1/6 binary64) (.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64))) z (/.f64 y t)) z))
cost-diff	0	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (/.f64 z t)) #s(literal 1/6 binary64) (.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64))) z (/.f64 y t)) z)))
cost-diff	320	(fma.f64 (.f64 (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (/.f64 z t)) #s(literal 1/6 binary64) (.f64 (/.f64 (-.f64 y (.f64 y y)) t) #s(literal 1/2 binary64)))
cost-diff	384	(fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (/.f64 z t)) #s(literal 1/6 binary64) (.f64 (/.f64 (-.f64 y (.f64 y y)) t) #s(literal 1/2 binary64))) z (/.f64 y t))
cost-diff	0	(/.f64 y t)
cost-diff	0	(neg.f64 z)
cost-diff	0	(fma.f64 (neg.f64 z) (/.f64 y t) x)
cost-diff	0	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
cost-diff	0	(/.f64 (expm1.f64 z) t)
cost-diff	0	(*.f64 (/.f64 (expm1.f64 z) t) y)
cost-diff	0	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))
cost-diff	0	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))

Rules

13 790×	`lower-fma.f32`
13 772×	`lower-fma.f64`
3 876×	`lower-*.f32`
3 864×	`lower-*.f64`
3 450×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	469
0	93	469
1	175	434
2	354	434
3	796	434
4	2407	434
5	7319	434
0	8024	420

Stop Event

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

Calls

Call 1

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

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

localize745.0ms (3.9%)

Memory

8.5MiB live, 316.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 z)
accuracy	0.24595035668775797	(log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))
accuracy	0.6706079221682385	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x)
accuracy	30.691443222579505	(fma.f64 (exp.f64 z) y (neg.f64 y))
accuracy	0.0234375	(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64))
accuracy	4.341767764843112	(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)))) t)
accuracy	13.464369166119637	#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)))
accuracy	33.77732809630776	(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64))))
accuracy	6.392222243016653	(fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (/.f64 z t)) #s(literal 1/6 binary64) (.f64 (/.f64 (-.f64 y (.f64 y y)) t) #s(literal 1/2 binary64))) z (/.f64 y t))
accuracy	7.227388528529506	(.f64 (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (/.f64 z t))
accuracy	8.042935723283295	(fma.f64 (.f64 (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (/.f64 z t)) #s(literal 1/6 binary64) (.f64 (/.f64 (-.f64 y (.f64 y y)) t) #s(literal 1/2 binary64)))
accuracy	21.118453996688306	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (/.f64 z t)) #s(literal 1/6 binary64) (.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64))) z (/.f64 y t)) z))
accuracy	0	(/.f64 y t)
accuracy	0	(neg.f64 z)
accuracy	3.7311525523273383	(fma.f64 (neg.f64 z) (/.f64 y t) x)
accuracy	13.688608508142018	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
accuracy	0.0078125	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
accuracy	0.015625	(/.f64 (expm1.f64 z) t)
accuracy	3.761437962605412	(*.f64 (/.f64 (expm1.f64 z) t) y)
accuracy	13.26894847964931	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))

Samples

321.0ms	159×	1	valid
241.0ms	62×	2	valid
13.0ms	35×	0	valid

Compiler

Compiled 379 to 53 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 476.0ms

ival-mult: 204.0ms (42.8% of total)

ival-log1p: 134.0ms (28.1% of total)

ival-log: 33.0ms (6.9% of total)

adjust: 25.0ms (5.2% of total)

ival-exp: 25.0ms (5.2% of total)

ival-add: 23.0ms (4.8% of total)

ival-div: 16.0ms (3.4% of total)

ival-sub: 8.0ms (1.7% of total)

const: 5.0ms (1% of total)

ival-expm1: 2.0ms (0.4% of total)

ival-neg: 2.0ms (0.4% of total)

exact: 1.0ms (0.2% of total)

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

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

series181.0ms (0.9%)

Memory

27.2MiB live, 348.6MiB allocated

Counts

23 → 744

Calls

Call 1

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

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

12 calls:

Time	Variable		Point	Expression
39.0ms	t	@	0	((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (neg z) (/ y t) (+ (* (+ (* (* (+ (* (* y y) (+ (* 2 y) -3)) y) (/ z t)) 1/6) (* (/ (- y (* y y)) t) 1/2)) z) (/ y t)) (+ (* (* (+ (* (* y y) (+ (* 2 y) -3)) y) (/ z t)) 1/6) (* (/ (- y (* y y)) t) 1/2)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (+ (* (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y))))) x) (+ (* (exp z) y) (neg y)) (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y)))) (* (+ (* (* y y) (+ (* 2 y) -3)) y) (/ z t)) (+ (* (+ (* 1/2 (* z y)) y) z) 1) (exp z))
16.0ms	t	@	-inf	((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (neg z) (/ y t) (+ (* (+ (* (* (+ (* (* y y) (+ (* 2 y) -3)) y) (/ z t)) 1/6) (* (/ (- y (* y y)) t) 1/2)) z) (/ y t)) (+ (* (* (+ (* (* y y) (+ (* 2 y) -3)) y) (/ z t)) 1/6) (* (/ (- y (* y y)) t) 1/2)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (+ (* (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y))))) x) (+ (* (exp z) y) (neg y)) (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y)))) (* (+ (* (* y y) (+ (* 2 y) -3)) y) (/ z t)) (+ (* (+ (* 1/2 (* z y)) y) z) 1) (exp z))
14.0ms	t	@	inf	((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (neg z) (/ y t) (+ (* (+ (* (* (+ (* (* y y) (+ (* 2 y) -3)) y) (/ z t)) 1/6) (* (/ (- y (* y y)) t) 1/2)) z) (/ y t)) (+ (* (* (+ (* (* y y) (+ (* 2 y) -3)) y) (/ z t)) 1/6) (* (/ (- y (* y y)) t) 1/2)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (+ (* (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y))))) x) (+ (* (exp z) y) (neg y)) (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y)))) (* (+ (* (* y y) (+ (* 2 y) -3)) y) (/ z t)) (+ (* (+ (* 1/2 (* z y)) y) z) 1) (exp z))
13.0ms	z	@	-inf	((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (neg z) (/ y t) (+ (* (+ (* (* (+ (* (* y y) (+ (* 2 y) -3)) y) (/ z t)) 1/6) (* (/ (- y (* y y)) t) 1/2)) z) (/ y t)) (+ (* (* (+ (* (* y y) (+ (* 2 y) -3)) y) (/ z t)) 1/6) (* (/ (- y (* y y)) t) 1/2)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (+ (* (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y))))) x) (+ (* (exp z) y) (neg y)) (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y)))) (* (+ (* (* y y) (+ (* 2 y) -3)) y) (/ z t)) (+ (* (+ (* 1/2 (* z y)) y) z) 1) (exp z))
11.0ms	z	@	inf	((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (neg z) (/ y t) (+ (* (+ (* (* (+ (* (* y y) (+ (* 2 y) -3)) y) (/ z t)) 1/6) (* (/ (- y (* y y)) t) 1/2)) z) (/ y t)) (+ (* (* (+ (* (* y y) (+ (* 2 y) -3)) y) (/ z t)) 1/6) (* (/ (- y (* y y)) t) 1/2)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (+ (* (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y))))) x) (+ (* (exp z) y) (neg y)) (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y)))) (* (+ (* (* y y) (+ (* 2 y) -3)) y) (/ z t)) (+ (* (+ (* 1/2 (* z y)) y) z) 1) (exp z))

simplify210.0ms (1.1%)

Memory

-4.9MiB live, 306.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8 310×	`lower-fma.f64`
8 310×	`lower-fma.f32`
5 388×	`lower-*.f64`
5 388×	`lower-*.f32`
3 824×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	669	11858
1	2206	11474
2	7114	11073
0	8155	9057

Stop Event

1×	iter limit
1×	node limit

Counts

744 → 708

Calls

Call 1

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

rewrite240.0ms (1.2%)

Memory

-14.2MiB live, 389.2MiB allocated

Rules

6 156×	`lower-*.f32`
6 144×	`lower-*.f64`
5 030×	`lower-fma.f32`
5 012×	`lower-fma.f64`
3 652×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	355
0	93	355
1	411	320
2	3483	320
0	9484	316

Stop Event

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

Counts

23 → 509

Calls

Call 1

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

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

eval222.0ms (1.2%)

Memory: 18.7MiB live, 446.8MiB allocated
Compiler: Compiled 35 649 to 3 404 computations (90.5% saved)

prune69.0ms (0.4%)

Memory

31.6MiB live, 146.5MiB allocated

Pruning

31 alts after pruning (29 fresh and 2 done)

	Pruned	Kept	Total
New	1 237	22	1 259
Fresh	6	7	13
Picked	3	2	5
Done	0	0	0
Total	1 246	31	1 277

Accuracy

100.0%

Counts

1 277 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.6%	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x)
▶	77.9%	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 z y) (.f64 #s(literal 1/6 binary64) y)) z (.f64 #s(literal 1/2 binary64) y)) z y) z))) x)
▶	83.8%	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 z y))) x)
	77.3%	(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ 1 (+ (* (exp z) y) (neg y)))) (*.f64 z y)) x)
▶	98.6%	(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
	66.5%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t))
	73.4%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
	25.4%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* 1/2 (* z y)) y) z) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) t))
	11.6%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* 1/2 (* z y)) y) z) 1) (.f64 (.f64 (*.f64 z z) y) #s(literal 1/2 binary64))))) t))
	73.4%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* 1/2 (* z y)) y) z) 1) #s(literal 1 binary64)))) t))
	12.0%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t))
	66.1%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t))
	77.3%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
	67.0%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))))))
	50.7%	(-.f64 x (-.f64 (/.f64 (log.f64 (+.f64 (pow.f64 (.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))) t) (/.f64 (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (.f64 (exp.f64 z) y) #s(literal 2 binary64)))) t)))
	87.0%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y (/.f64 t (expm1.f64 z)))))
	86.1%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (expm1.f64 z) y)))))
	70.7%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (fma.f64 #s(approx (+ ( (* (+ (* (* y y) (+ (* 2 y) -3)) y) (/ z t)) 1/6) (* (/ (- y (* y y)) t) 1/2)) (*.f64 (fma.f64 (/.f64 z t) #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) t)) y)) z (/.f64 y t)) z)))
✓	87.0%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
	82.9%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (expm1.f64 z) (/.f64 y t))))
	73.7%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 z t) #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) t)) z (/.f64 #s(literal 1/2 binary64) t)) z (/.f64 #s(literal 1 binary64) t)) z)) y)))
▶	75.6%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t)) z)) y)))
	69.7%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (.f64 z y) t) (.f64 #s(literal 1/6 binary64) (/.f64 y t))) z (.f64 #s(literal 1/2 binary64) (/.f64 y t))) z (/.f64 y t)) z))))
	72.5%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y t)) z (/.f64 y t)) z))))
	58.5%	(.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64))) (pow.f64 (+.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) x) #s(literal -1 binary64)))
	69.6%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) z) (/.f64 y t) x))
✓	74.9%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
	75.2%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 t y)) x))
	88.1%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x))
	28.0%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
▶	15.7%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 z) t) y)))

Compiler

Compiled 889 to 751 computations (15.5% saved)

simplify157.0ms (0.8%)

Memory

-24.5MiB live, 96.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal -1 binary64) t)
cost-diff	192	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 z y) (.f64 #s(literal 1/6 binary64) y)) z (.f64 #s(literal 1/2 binary64) y)) z y) z))) x)
cost-diff	320	(fma.f64 #s(literal 1/24 binary64) (.f64 z y) (.f64 #s(literal 1/6 binary64) y))
cost-diff	320	(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 z y) (.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y))
cost-diff	0	#s(approx (+ (* (exp z) y) (neg y)) (*.f64 z y))
cost-diff	0	(log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 z y)))
cost-diff	0	(/.f64 #s(literal -1 binary64) t)
cost-diff	192	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 z y))) x)
cost-diff	0	(.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t)) z)) y)
cost-diff	0	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t)) z)) y))
cost-diff	0	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t)) z)) y)))
cost-diff	704	(fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t))
cost-diff	0	(/.f64 (neg.f64 z) t)
cost-diff	0	(*.f64 (/.f64 (neg.f64 z) t) y)
cost-diff	0	#s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 z) t) y))
cost-diff	0	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 z) t) y)))
cost-diff	0	(*.f64 (expm1.f64 z) y)
cost-diff	0	(log1p.f64 (*.f64 (expm1.f64 z) y))
cost-diff	0	(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
cost-diff	0	(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))

Rules

11 062×	`lower-fma.f32`
11 050×	`lower-fma.f64`
3 826×	`lower-*.f32`
3 810×	`lower-*.f64`
1 992×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	423
0	92	417
1	157	384
2	279	384
3	515	376
4	995	371
5	2001	371
6	3528	370
7	6993	370
0	8306	351

Stop Event

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

Calls

Call 1

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

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

localize449.0ms (2.3%)

Memory

-13.1MiB live, 350.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.24595035668775797	(log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 z y) (.f64 #s(literal 1/6 binary64) y)) z (.f64 #s(literal 1/2 binary64) y)) z y) z)))
accuracy	0.3359375	(*.f64 #s(literal 1/6 binary64) y)
accuracy	0.6706079221682385	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 z y) (.f64 #s(literal 1/6 binary64) y)) z (.f64 #s(literal 1/2 binary64) y)) z y) z))) x)
accuracy	16.595687509450638	#s(approx (+ (* (exp z) y) (neg y)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 z y) (.f64 #s(literal 1/6 binary64) y)) z (.f64 #s(literal 1/2 binary64) y)) z y) z))
accuracy	0	(*.f64 z y)
accuracy	0.24595035668775797	(log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 z y)))
accuracy	0.6706079221682385	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 z y))) x)
accuracy	16.354164766022958	#s(approx (+ (* (exp z) y) (neg y)) (*.f64 z y))
accuracy	0.234375	(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t)) z)
accuracy	3.761437962605412	(.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t)) z)) y)
accuracy	13.26894847964931	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t)) z)) y))
accuracy	16.83082737419636	#s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t)) z))
accuracy	0	(neg.f64 z)
accuracy	4.907099992969235	(*.f64 (/.f64 (neg.f64 z) t) y)
accuracy	13.688608508142018	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 z) t) y)))
accuracy	40.97031853866012	#s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 z) t) y))
accuracy	0.0078125	(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
accuracy	0.01171875	(*.f64 (expm1.f64 z) y)
accuracy	0.24595035668775797	(log1p.f64 (*.f64 (expm1.f64 z) y))
accuracy	4.341767764843112	(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)

Samples

275.0ms	196×	1	valid
44.0ms	35×	0	valid
39.0ms	25×	2	valid

Compiler

Compiled 316 to 53 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 288.0ms

ival-mult: 119.0ms (41.3% of total)

ival-div: 35.0ms (12.2% of total)

ival-log: 28.0ms (9.7% of total)

ival-exp: 23.0ms (8% of total)

adjust: 20.0ms (6.9% of total)

ival-expm1: 19.0ms (6.6% of total)

ival-add: 16.0ms (5.6% of total)

const: 10.0ms (3.5% of total)

ival-log1p: 8.0ms (2.8% of total)

ival-sub: 7.0ms (2.4% of total)

ival-neg: 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)

series442.0ms (2.3%)

Memory

3.5MiB live, 239.4MiB allocated

Counts

26 → 780

Calls

Call 1

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

Outputs
#s(alt (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)) (taylor 0 t) (#s(alt (-.f64 x (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t)) (patch (-.f64 x (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* t x) (log (+ 1 (* y (- (exp z) 1))))) t) (taylor 0 t) (#s(alt (-.f64 x (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t)) (patch (-.f64 x (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* t x) (log (+ 1 (* y (- (exp z) 1))))) t) (taylor 0 t) (#s(alt (-.f64 x (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t)) (patch (-.f64 x (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* t x) (log (+ 1 (* y (- (exp z) 1))))) t) (taylor 0 t) (#s(alt (-.f64 x (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t)) (patch (-.f64 x (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t)) #<representation binary64>) () ())) ())
#s(alt (/ (log (+ 1 (* y (- (exp z) 1)))) t) (taylor 0 t) (#s(alt (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) (patch (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) #<representation binary64>) () ())) ())
#s(alt (/ (log (+ 1 (* y (- (exp z) 1)))) t) (taylor 0 t) (#s(alt (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) (patch (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) #<representation binary64>) () ())) ())
#s(alt (/ (log (+ 1 (* y (- (exp z) 1)))) t) (taylor 0 t) (#s(alt (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) (patch (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) #<representation binary64>) () ())) ())
#s(alt (/ (log (+ 1 (* y (- (exp z) 1)))) t) (taylor 0 t) (#s(alt (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) (patch (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) (taylor 0 t) (#s(alt #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 (neg.f64 z) t) y))) (patch #s(approx (- x (/ (log (+ (- 1 y) ( y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 z) t) y))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) (taylor 0 t) (#s(alt #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 (neg.f64 z) t) y))) (patch #s(approx (- x (/ (log (+ (- 1 y) ( y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 z) t) y))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) (taylor 0 t) (#s(alt #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 (neg.f64 z) t) y))) (patch #s(approx (- x (/ (log (+ (- 1 y) ( y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 z) t) y))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) (taylor 0 t) (#s(alt #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 (neg.f64 z) t) y))) (patch #s(approx (- x (/ (log (+ (- 1 y) ( y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 z) t) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* y z) t)) (taylor 0 t) (#s(alt #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 (neg.f64 z) t) y)) (patch #s(approx (+ ( (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 z) t) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* y z)) (* t x)) t) (taylor 0 t) (#s(alt #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 (neg.f64 z) t) y)) (patch #s(approx (+ ( (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 z) t) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* y z)) (* t x)) t) (taylor 0 t) (#s(alt #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 (neg.f64 z) t) y)) (patch #s(approx (+ ( (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 z) t) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* y z)) (* t x)) t) (taylor 0 t) (#s(alt #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 (neg.f64 z) t) y)) (patch #s(approx (+ ( (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 z) t) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* y z) t)) (taylor 0 t) (#s(alt (.f64 (/.f64 (neg.f64 z) t) y) (patch (.f64 (/.f64 (neg.f64 z) t) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* y z) t)) (taylor 0 t) (#s(alt (.f64 (/.f64 (neg.f64 z) t) y) (patch (.f64 (/.f64 (neg.f64 z) t) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* y z) t)) (taylor 0 t) (#s(alt (.f64 (/.f64 (neg.f64 z) t) y) (patch (.f64 (/.f64 (neg.f64 z) t) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* y z) t)) (taylor 0 t) (#s(alt (.f64 (/.f64 (neg.f64 z) t) y) (patch (.f64 (/.f64 (neg.f64 z) t) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z t)) (taylor 0 t) (#s(alt (/.f64 (neg.f64 z) t) (patch (/.f64 (neg.f64 z) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z t)) (taylor 0 t) (#s(alt (/.f64 (neg.f64 z) t) (patch (/.f64 (neg.f64 z) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z t)) (taylor 0 t) (#s(alt (/.f64 (neg.f64 z) t) (patch (/.f64 (neg.f64 z) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z t)) (taylor 0 t) (#s(alt (/.f64 (neg.f64 z) t) (patch (/.f64 (neg.f64 z) t) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* 1/2 z)) t) (taylor 0 t) (#s(alt (fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t)) (patch (fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* 1/2 z)) t) (taylor 0 t) (#s(alt (fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t)) (patch (fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* 1/2 z)) t) (taylor 0 t) (#s(alt (fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t)) (patch (fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* 1/2 z)) t) (taylor 0 t) (#s(alt (fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t)) (patch (fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) (taylor 0 t) (#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t)) z)) y))) (patch (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t)) z)) y))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) (taylor 0 t) (#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t)) z)) y))) (patch (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t)) z)) y))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) (taylor 0 t) (#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t)) z)) y))) (patch (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t)) z)) y))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) (taylor 0 t) (#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t)) z)) y))) (patch (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t)) z)) y))) #<representation binary64>) () ())) ())
#s(alt (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor 0 t) (#s(alt #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t)) z)) y)) (patch #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t)) z)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor 0 t) (#s(alt #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t)) z)) y)) (patch #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t)) z)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor 0 t) (#s(alt #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t)) z)) y)) (patch #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t)) z)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor 0 t) (#s(alt #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t)) z)) y)) (patch #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t)) z)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* y (- (exp z) 1)) t) (taylor 0 t) (#s(alt (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t)) z)) y) (patch (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t)) z)) y) #<representation binary64>) () ())) ())
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#s(alt x (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 z y) (.f64 #s(literal 1/6 binary64) y)) z (.f64 #s(literal 1/2 binary64) y)) z y) z))) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 z y) (.f64 #s(literal 1/6 binary64) y)) z (.f64 #s(literal 1/2 binary64) y)) z y) z))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 z y) (.f64 #s(literal 1/6 binary64) y)) z (.f64 #s(literal 1/2 binary64) y)) z y) z))) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 z y) (.f64 #s(literal 1/6 binary64) y)) z (.f64 #s(literal 1/2 binary64) y)) z y) z))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 z y) (.f64 #s(literal 1/6 binary64) y)) z (.f64 #s(literal 1/2 binary64) y)) z y) z))) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 z y) (.f64 #s(literal 1/6 binary64) y)) z (.f64 #s(literal 1/2 binary64) y)) z y) z))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 z y) (.f64 #s(literal 1/6 binary64) y)) z (.f64 #s(literal 1/2 binary64) y)) z y) z))) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 z y) (.f64 #s(literal 1/6 binary64) y)) z (.f64 #s(literal 1/2 binary64) y)) z y) z))) x) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
76.0ms	z	@	-inf	((- x (/ (log (+ 1 (* (- (exp z) 1) y))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) t) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (* (/ (neg z) t) y) (/ (neg z) t) (+ (* (/ 1/2 t) z) (/ 1 t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (+ (* (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y))))) x) (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y)))) (+ (* (exp z) y) (neg y)) (+ (* (+ (* 1/24 (* z y)) (* 1/6 y)) z) (* 1/2 y)) (+ (* 1/24 (* z y)) (* 1/6 y)) (+ (* (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y))))) x) (neg z) (/ (- (exp z) 1) t) (* (+ (* (/ 1/2 t) z) (/ 1 t)) z) (* z y) (+ (* (exp z) y) (neg y)) (* 1/6 y) (log (+ 1 (+ (* (exp z) y) (neg y)))))
65.0ms	t	@	-inf	((- x (/ (log (+ 1 (* (- (exp z) 1) y))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) t) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (* (/ (neg z) t) y) (/ (neg z) t) (+ (* (/ 1/2 t) z) (/ 1 t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (+ (* (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y))))) x) (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y)))) (+ (* (exp z) y) (neg y)) (+ (* (+ (* 1/24 (* z y)) (* 1/6 y)) z) (* 1/2 y)) (+ (* 1/24 (* z y)) (* 1/6 y)) (+ (* (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y))))) x) (neg z) (/ (- (exp z) 1) t) (* (+ (* (/ 1/2 t) z) (/ 1 t)) z) (* z y) (+ (* (exp z) y) (neg y)) (* 1/6 y) (log (+ 1 (+ (* (exp z) y) (neg y)))))
62.0ms	z	@	inf	((- x (/ (log (+ 1 (* (- (exp z) 1) y))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) t) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (* (/ (neg z) t) y) (/ (neg z) t) (+ (* (/ 1/2 t) z) (/ 1 t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (+ (* (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y))))) x) (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y)))) (+ (* (exp z) y) (neg y)) (+ (* (+ (* 1/24 (* z y)) (* 1/6 y)) z) (* 1/2 y)) (+ (* 1/24 (* z y)) (* 1/6 y)) (+ (* (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y))))) x) (neg z) (/ (- (exp z) 1) t) (* (+ (* (/ 1/2 t) z) (/ 1 t)) z) (* z y) (+ (* (exp z) y) (neg y)) (* 1/6 y) (log (+ 1 (+ (* (exp z) y) (neg y)))))
36.0ms	t	@	0	((- x (/ (log (+ 1 (* (- (exp z) 1) y))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) t) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (* (/ (neg z) t) y) (/ (neg z) t) (+ (* (/ 1/2 t) z) (/ 1 t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (+ (* (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y))))) x) (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y)))) (+ (* (exp z) y) (neg y)) (+ (* (+ (* 1/24 (* z y)) (* 1/6 y)) z) (* 1/2 y)) (+ (* 1/24 (* z y)) (* 1/6 y)) (+ (* (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y))))) x) (neg z) (/ (- (exp z) 1) t) (* (+ (* (/ 1/2 t) z) (/ 1 t)) z) (* z y) (+ (* (exp z) y) (neg y)) (* 1/6 y) (log (+ 1 (+ (* (exp z) y) (neg y)))))
24.0ms	t	@	inf	((- x (/ (log (+ 1 (* (- (exp z) 1) y))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) t) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (* (/ (neg z) t) y) (/ (neg z) t) (+ (* (/ 1/2 t) z) (/ 1 t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (+ (* (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y))))) x) (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y)))) (+ (* (exp z) y) (neg y)) (+ (* (+ (* 1/24 (* z y)) (* 1/6 y)) z) (* 1/2 y)) (+ (* 1/24 (* z y)) (* 1/6 y)) (+ (* (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y))))) x) (neg z) (/ (- (exp z) 1) t) (* (+ (* (/ 1/2 t) z) (/ 1 t)) z) (* z y) (+ (* (exp z) y) (neg y)) (* 1/6 y) (log (+ 1 (+ (* (exp z) y) (neg y)))))

simplify190.0ms (1%)

Memory

22.0MiB live, 300.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 892×	`lower-fma.f64`
8 892×	`lower-fma.f32`
4 292×	`lower-*.f64`
4 292×	`lower-*.f32`
4 206×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	581	10178
1	1842	9778
2	5619	9298
0	8367	7486

Stop Event

1×	iter limit
1×	node limit

Counts

780 → 744

Calls

Call 1

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

rewrite225.0ms (1.2%)

Memory

25.6MiB live, 333.7MiB allocated

Rules

4 720×	`lower-*.f32`
4 704×	`lower-*.f64`
3 734×	`lower-fma.f32`
3 722×	`lower-fma.f64`
3 108×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	346
0	92	340
1	388	309
2	3219	309
0	8271	304

Stop Event

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

Counts

26 → 404

Calls

Call 1

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

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

eval262.0ms (1.4%)

Memory: -20.4MiB live, 423.8MiB allocated
Compiler: Compiled 23 418 to 2 771 computations (88.2% saved)

prune131.0ms (0.7%)

Memory

-1.9MiB live, 241.7MiB allocated

Pruning

41 alts after pruning (37 fresh and 4 done)

	Pruned	Kept	Total
New	1 178	23	1 201
Fresh	10	14	24
Picked	2	3	5
Done	1	1	2
Total	1 191	41	1 232

Accuracy

100.0%

Counts

1 232 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.6%	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x)
✓	83.8%	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 z y))) x)
	77.3%	(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ 1 (+ (* (exp z) y) (neg y)))) (*.f64 z y)) x)
✓	98.6%	(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
	77.9%	(-.f64 x (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)) y) z y) z))) t))
	78.4%	(-.f64 x (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z))) t))
▶	78.7%	(-.f64 x (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z))) t))
	83.8%	(-.f64 x (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (*.f64 z y))) t))
	11.6%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* 1/2 (* z y)) y) z) 1) (.f64 (.f64 (*.f64 z z) y) #s(literal 1/2 binary64))))) t))
	73.4%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* 1/2 (* z y)) y) z) 1) #s(literal 1 binary64)))) t))
	12.0%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t))
	66.1%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t))
	67.0%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))))))
	50.7%	(-.f64 x (-.f64 (/.f64 (log.f64 (+.f64 (pow.f64 (.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))) t) (/.f64 (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (.f64 (exp.f64 z) y) #s(literal 2 binary64)))) t)))
	87.0%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y (/.f64 t (expm1.f64 z)))))
	86.1%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (expm1.f64 z) y)))))
	82.9%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (expm1.f64 z) (/.f64 y t))))
	78.6%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
▶	73.7%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 (fma.f64 (/.f64 z t) (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) t)) z (/.f64 #s(literal 1 binary64) t)) z)) y)))
	74.8%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 (/.f64 z t) (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) t)) z)) y)))
	60.6%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) t t) (.f64 t t)) z)) y)))
	50.9%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 t (.f64 #s(literal 1/2 binary64) z)) t) (.f64 t (/.f64 t (*.f64 #s(literal 1/2 binary64) z)))) z)) y)))
	75.6%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)))
	78.5%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 #s(approx (+ (* (/ 1/2 t) z) (/ 1 t)) (/.f64 #s(literal 1 binary64) t)) z)) y)))
▶	63.5%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 #s(approx (+ (* (/ 1/2 t) z) (/ 1 t)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) z)) z)) y)))
	69.7%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (.f64 (fma.f64 (fma.f64 (/.f64 y t) #s(literal 1/2 binary64) (.f64 (/.f64 (*.f64 z y) t) (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)))) z (/.f64 y t)) z))))
	72.7%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 y t)) z))))
	51.6%	(.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 #s(approx (+ ( (exp z) y) (neg y)) (.f64 y z))) (neg.f64 t)) #s(literal 2 binary64)) (.f64 x x)) (pow.f64 (-.f64 (/.f64 (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 y z))) (neg.f64 t)) x) #s(literal -1 binary64)))
✓	74.9%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
	75.2%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 t y)) x))
	88.1%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x))
	28.0%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
	15.2%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 z) y) t)))
	13.5%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (neg.f64 z) (/.f64 t y))))
	15.7%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 y (/.f64 (neg.f64 t) z))))
	15.2%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (neg.f64 z) y)))))
	76.3%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (fma.f64 (/.f64 (/.f64 z x) t) (neg.f64 y) #s(literal 1 binary64)) x)))
	7.7%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) t) (.f64 t z)) (.f64 t t)) y)))
✓	15.7%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 z) t) y)))
▶	13.2%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z))))
	15.6%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (.f64 z (/.f64 #s(literal -1 binary64) t)) y)))

Compiler

Compiled 1 087 to 954 computations (12.2% saved)

simplify137.0ms (0.7%)

Memory

-14.9MiB live, 180.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (* (- (exp z) 1) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z))
cost-diff	0	(log1p.f64 #s(approx (* (- (exp z) 1) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z)))
cost-diff	0	(/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z))) t)
cost-diff	0	(-.f64 x (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z))) t))
cost-diff	0	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 (fma.f64 (/.f64 z t) (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) t)) z (/.f64 #s(literal 1 binary64) t)) z)) y))
cost-diff	0	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 (fma.f64 (/.f64 z t) (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) t)) z (/.f64 #s(literal 1 binary64) t)) z)) y)))
cost-diff	704	(fma.f64 (/.f64 z t) (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) t))
cost-diff	704	(fma.f64 (fma.f64 (/.f64 z t) (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) t)) z (/.f64 #s(literal 1 binary64) t))
cost-diff	0	#s(approx (/ (- (exp z) 1) t) (.f64 #s(approx (+ ( (/ 1/2 t) z) (/ 1 t)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) z)) z))
cost-diff	0	(.f64 #s(approx (/ (- (exp z) 1) t) (.f64 #s(approx (+ (* (/ 1/2 t) z) (/ 1 t)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) z)) z)) y)
cost-diff	0	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 #s(approx (+ (* (/ 1/2 t) z) (/ 1 t)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) z)) z)) y))
cost-diff	0	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 #s(approx (+ (* (/ 1/2 t) z) (/ 1 t)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) z)) z)) y)))
cost-diff	0	(/.f64 y t)
cost-diff	0	(*.f64 (/.f64 y t) (neg.f64 z))
cost-diff	0	#s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z)))
cost-diff	0	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z))))
cost-diff	0	(*.f64 (expm1.f64 z) y)
cost-diff	0	(log1p.f64 (*.f64 (expm1.f64 z) y))
cost-diff	0	(/.f64 #s(literal -1 binary64) t)
cost-diff	192	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x)

Rules

8 400×	`lower-fma.f32`
8 390×	`lower-fma.f64`
4 010×	`lower-*.f32`
3 992×	`lower-*.f64`
1 524×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	527
0	96	527
1	162	525
2	295	504
3	518	504
4	1065	504
5	2000	488
6	3123	474
7	4232	473
8	6091	473
0	8124	460

Stop Event

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

Calls

Call 1

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

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

localize376.0ms (2%)

Memory

3.0MiB live, 479.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.046875	(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z)
accuracy	0.24595035668775797	(log1p.f64 #s(approx (* (- (exp z) 1) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z)))
accuracy	4.341767764843112	(/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z))) t)
accuracy	16.80740384017502	#s(approx (* (- (exp z) 1) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z))
accuracy	0.20703125	(*.f64 (fma.f64 (fma.f64 (/.f64 z t) (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) t)) z (/.f64 #s(literal 1 binary64) t)) z)
accuracy	3.761437962605412	(.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 (fma.f64 (/.f64 z t) (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) t)) z (/.f64 #s(literal 1 binary64) t)) z)) y)
accuracy	13.26894847964931	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 (fma.f64 (/.f64 z t) (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) t)) z (/.f64 #s(literal 1 binary64) t)) z)) y))
accuracy	16.608344112255132	#s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 (fma.f64 (/.f64 z t) (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) t)) z (/.f64 #s(literal 1 binary64) t)) z))
accuracy	3.761437962605412	(.f64 #s(approx (/ (- (exp z) 1) t) (.f64 #s(approx (+ (* (/ 1/2 t) z) (/ 1 t)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) z)) z)) y)
accuracy	13.26894847964931	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 #s(approx (+ (* (/ 1/2 t) z) (/ 1 t)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) z)) z)) y))
accuracy	16.83082737419636	#s(approx (/ (- (exp z) 1) t) (.f64 #s(approx (+ ( (/ 1/2 t) z) (/ 1 t)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) z)) z))
accuracy	46.10324540747646	#s(approx (+ (* (/ 1/2 t) z) (/ 1 t)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) z))
accuracy	0	(neg.f64 z)
accuracy	4.451699213662687	(*.f64 (/.f64 y t) (neg.f64 z))
accuracy	13.688608508142018	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z))))
accuracy	40.97031853866012	#s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z)))
accuracy	0	(expm1.f64 z)
accuracy	0.01171875	(*.f64 (expm1.f64 z) y)
accuracy	0.24595035668775797	(log1p.f64 (*.f64 (expm1.f64 z) y))
accuracy	0.6706079221682385	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x)

Samples

282.0ms	194×	1	valid
30.0ms	25×	2	valid
13.0ms	37×	0	valid

Compiler

Compiled 329 to 50 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 241.0ms

ival-exp: 46.0ms (19.1% of total)

adjust: 37.0ms (15.4% of total)

ival-mult: 37.0ms (15.4% of total)

ival-expm1: 29.0ms (12% of total)

ival-log: 28.0ms (11.6% of total)

ival-div: 23.0ms (9.5% of total)

ival-add: 19.0ms (7.9% of total)

const: 10.0ms (4.1% of total)

ival-sub: 7.0ms (2.9% of total)

ival-log1p: 4.0ms (1.7% of total)

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

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

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

exact: 0.0ms (0% of total)

series211.0ms (1.1%)

Memory

32.9MiB live, 315.2MiB allocated

Counts

27 → 828

Calls

Call 1

Inputs
#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (.f64 (expm1.f64 z) y)) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (.f64 (expm1.f64 z) y)) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) t) (patch (/.f64 #s(literal -1 binary64) t) #<representation binary64>) () ())
#s(alt (log1p.f64 (.f64 (expm1.f64 z) y)) (patch (log1p.f64 (.f64 (expm1.f64 z) y)) #<representation binary64>) () ())
#s(alt (.f64 (expm1.f64 z) y) (patch (.f64 (expm1.f64 z) y) #<representation binary64>) () ())
#s(alt #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 y t) (neg.f64 z)))) (patch #s(approx (- x (/ (log (+ (- 1 y) ( y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 y t) (neg.f64 z))) (patch #s(approx (+ ( (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 y t) (neg.f64 z)) (patch (.f64 (/.f64 y t) (neg.f64 z)) #<representation binary64>) () ())
#s(alt (/.f64 y t) (patch (/.f64 y t) #<representation binary64>) () ())
#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 #s(approx (+ (* (/ 1/2 t) z) (/ 1 t)) (.f64 (/.f64 #s(literal 1/2 binary64) t) z)) z)) y))) (patch (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 #s(approx (+ (* (/ 1/2 t) z) (/ 1 t)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) z)) z)) y))) #<representation binary64>) () ())
#s(alt #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 #s(approx (+ (* (/ 1/2 t) z) (/ 1 t)) (.f64 (/.f64 #s(literal 1/2 binary64) t) z)) z)) y)) (patch #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 #s(approx (+ (* (/ 1/2 t) z) (/ 1 t)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) z)) z)) y)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 #s(approx (+ (* (/ 1/2 t) z) (/ 1 t)) (.f64 (/.f64 #s(literal 1/2 binary64) t) z)) z)) y) (patch (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 #s(approx (+ ( (/ 1/2 t) z) (/ 1 t)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) z)) z)) y) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (exp z) 1) t) (.f64 #s(approx (+ ( (/ 1/2 t) z) (/ 1 t)) (.f64 (/.f64 #s(literal 1/2 binary64) t) z)) z)) (patch #s(approx (/ (- (exp z) 1) t) (.f64 #s(approx (+ (* (/ 1/2 t) z) (/ 1 t)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) z)) z)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (/.f64 z t) (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) t)) z (/.f64 #s(literal 1 binary64) t)) (patch (fma.f64 (fma.f64 (/.f64 z t) (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) t)) z (/.f64 #s(literal 1 binary64) t)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 z t) (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) t)) (patch (fma.f64 (/.f64 z t) (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) t)) #<representation binary64>) () ())
#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 (fma.f64 (/.f64 z t) (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) t)) z (/.f64 #s(literal 1 binary64) t)) z)) y))) (patch (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 (fma.f64 (/.f64 z t) (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) t)) z (/.f64 #s(literal 1 binary64) t)) z)) y))) #<representation binary64>) () ())
#s(alt #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 (fma.f64 (/.f64 z t) (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) t)) z (/.f64 #s(literal 1 binary64) t)) z)) y)) (patch #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 (fma.f64 (/.f64 z t) (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) t)) z (/.f64 #s(literal 1 binary64) t)) z)) y)) #<representation binary64>) () ())
#s(alt (-.f64 x (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z))) t)) (patch (-.f64 x (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z))) t)) #<representation binary64>) () ())
#s(alt (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z))) t) (patch (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z))) t) #<representation binary64>) () ())
#s(alt (log1p.f64 #s(approx (* (- (exp z) 1) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z))) (patch (log1p.f64 #s(approx (* (- (exp z) 1) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z))) #<representation binary64>) () ())
#s(alt #s(approx (* (- (exp z) 1) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z)) (patch #s(approx (* (- (exp z) 1) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z)) #<representation binary64>) () ())
#s(alt (expm1.f64 z) (patch (expm1.f64 z) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (/ 1/2 t) z) (/ 1 t)) (.f64 (/.f64 #s(literal 1/2 binary64) t) z)) (patch #s(approx (+ ( (/ 1/2 t) z) (/ 1 t)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) z)) #<representation binary64>) () ())
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Outputs
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#s(alt (/ -1 t) (taylor 0 t) (#s(alt (/.f64 #s(literal -1 binary64) t) (patch (/.f64 #s(literal -1 binary64) t) #<representation binary64>) () ())) ())
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#s(alt (/ (+ (* -1 (* y z)) (* t x)) t) (taylor 0 t) (#s(alt #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 y t) (neg.f64 z))) (patch #s(approx (+ ( (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* y z)) (* t x)) t) (taylor 0 t) (#s(alt #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 y t) (neg.f64 z))) (patch #s(approx (+ ( (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* y z) t)) (taylor 0 t) (#s(alt (.f64 (/.f64 y t) (neg.f64 z)) (patch (.f64 (/.f64 y t) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* y z) t)) (taylor 0 t) (#s(alt (.f64 (/.f64 y t) (neg.f64 z)) (patch (.f64 (/.f64 y t) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* y z) t)) (taylor 0 t) (#s(alt (.f64 (/.f64 y t) (neg.f64 z)) (patch (.f64 (/.f64 y t) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* y z) t)) (taylor 0 t) (#s(alt (.f64 (/.f64 y t) (neg.f64 z)) (patch (.f64 (/.f64 y t) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (/ y t) (taylor 0 t) (#s(alt (/.f64 y t) (patch (/.f64 y t) #<representation binary64>) () ())) ())
#s(alt (/ y t) (taylor 0 t) (#s(alt (/.f64 y t) (patch (/.f64 y t) #<representation binary64>) () ())) ())
#s(alt (/ y t) (taylor 0 t) (#s(alt (/.f64 y t) (patch (/.f64 y t) #<representation binary64>) () ())) ())
#s(alt (/ y t) (taylor 0 t) (#s(alt (/.f64 y t) (patch (/.f64 y t) #<representation binary64>) () ())) ())
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#s(alt (/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) (taylor 0 t) (#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 #s(approx (+ (* (/ 1/2 t) z) (/ 1 t)) (.f64 (/.f64 #s(literal 1/2 binary64) t) z)) z)) y))) (patch (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 #s(approx (+ (* (/ 1/2 t) z) (/ 1 t)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) z)) z)) y))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) (taylor 0 t) (#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 #s(approx (+ (* (/ 1/2 t) z) (/ 1 t)) (.f64 (/.f64 #s(literal 1/2 binary64) t) z)) z)) y))) (patch (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 #s(approx (+ (* (/ 1/2 t) z) (/ 1 t)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) z)) z)) y))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) (taylor 0 t) (#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 #s(approx (+ (* (/ 1/2 t) z) (/ 1 t)) (.f64 (/.f64 #s(literal 1/2 binary64) t) z)) z)) y))) (patch (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 #s(approx (+ (* (/ 1/2 t) z) (/ 1 t)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) z)) z)) y))) #<representation binary64>) () ())) ())
#s(alt (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor 0 t) (#s(alt #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 #s(approx (+ (* (/ 1/2 t) z) (/ 1 t)) (.f64 (/.f64 #s(literal 1/2 binary64) t) z)) z)) y)) (patch #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 #s(approx (+ (* (/ 1/2 t) z) (/ 1 t)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) z)) z)) y)) #<representation binary64>) () ())) ())
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#s(alt (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor 0 t) (#s(alt #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 #s(approx (+ (* (/ 1/2 t) z) (/ 1 t)) (.f64 (/.f64 #s(literal 1/2 binary64) t) z)) z)) y)) (patch #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 #s(approx (+ (* (/ 1/2 t) z) (/ 1 t)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) z)) z)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor 0 t) (#s(alt #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 #s(approx (+ (* (/ 1/2 t) z) (/ 1 t)) (.f64 (/.f64 #s(literal 1/2 binary64) t) z)) z)) y)) (patch #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 #s(approx (+ (* (/ 1/2 t) z) (/ 1 t)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) z)) z)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* y (- (exp z) 1)) t) (taylor 0 t) (#s(alt (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 #s(approx (+ (* (/ 1/2 t) z) (/ 1 t)) (.f64 (/.f64 #s(literal 1/2 binary64) t) z)) z)) y) (patch (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 #s(approx (+ ( (/ 1/2 t) z) (/ 1 t)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) z)) z)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* y (- (exp z) 1)) t) (taylor 0 t) (#s(alt (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 #s(approx (+ (* (/ 1/2 t) z) (/ 1 t)) (.f64 (/.f64 #s(literal 1/2 binary64) t) z)) z)) y) (patch (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 #s(approx (+ ( (/ 1/2 t) z) (/ 1 t)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) z)) z)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* y (- (exp z) 1)) t) (taylor 0 t) (#s(alt (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 #s(approx (+ (* (/ 1/2 t) z) (/ 1 t)) (.f64 (/.f64 #s(literal 1/2 binary64) t) z)) z)) y) (patch (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 #s(approx (+ ( (/ 1/2 t) z) (/ 1 t)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) z)) z)) y) #<representation binary64>) () ())) ())
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#s(alt (/ (- (exp z) 1) t) (taylor 0 t) (#s(alt #s(approx (/ (- (exp z) 1) t) (.f64 #s(approx (+ ( (/ 1/2 t) z) (/ 1 t)) (.f64 (/.f64 #s(literal 1/2 binary64) t) z)) z)) (patch #s(approx (/ (- (exp z) 1) t) (.f64 #s(approx (+ (* (/ 1/2 t) z) (/ 1 t)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) z)) z)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* z (+ 1/2 (* z (+ 1/6 (* 1/24 z)))))) t) (taylor 0 t) (#s(alt (fma.f64 (fma.f64 (/.f64 z t) (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) t)) z (/.f64 #s(literal 1 binary64) t)) (patch (fma.f64 (fma.f64 (/.f64 z t) (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) t)) z (/.f64 #s(literal 1 binary64) t)) #<representation binary64>) () ())) ())
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#s(alt (/ (+ 1 (* z (+ 1/2 (* z (+ 1/6 (* 1/24 z)))))) t) (taylor 0 t) (#s(alt (fma.f64 (fma.f64 (/.f64 z t) (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) t)) z (/.f64 #s(literal 1 binary64) t)) (patch (fma.f64 (fma.f64 (/.f64 z t) (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) t)) z (/.f64 #s(literal 1 binary64) t)) #<representation binary64>) () ())) ())
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#s(alt (/ (+ 1/2 (* z (+ 1/6 (* 1/24 z)))) t) (taylor 0 t) (#s(alt (fma.f64 (/.f64 z t) (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) t)) (patch (fma.f64 (/.f64 z t) (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) t)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (.f64 (expm1.f64 z) y)) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (.f64 (expm1.f64 z) y)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (.f64 (expm1.f64 z) y)) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (.f64 (expm1.f64 z) y)) x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 y t) (neg.f64 z)))) (patch #s(approx (- x (/ (log (+ (- 1 y) ( y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 y t) (neg.f64 z)))) (patch #s(approx (- x (/ (log (+ (- 1 y) ( y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 y t) (neg.f64 z)))) (patch #s(approx (- x (/ (log (+ (- 1 y) ( y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 y t) (neg.f64 z)))) (patch #s(approx (- x (/ (log (+ (- 1 y) ( y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z)))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 y t) (neg.f64 z))) (patch #s(approx (+ ( (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (* y z) (* t x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 y t) (neg.f64 z))) (patch #s(approx (+ ( (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (* y z) (* t x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 y t) (neg.f64 z))) (patch #s(approx (+ ( (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (* y z) (* t x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 y t) (neg.f64 z))) (patch #s(approx (+ ( (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 #s(approx (+ (* (/ 1/2 t) z) (/ 1 t)) (.f64 (/.f64 #s(literal 1/2 binary64) t) z)) z)) y))) (patch (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 #s(approx (+ (* (/ 1/2 t) z) (/ 1 t)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) z)) z)) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 #s(approx (+ (* (/ 1/2 t) z) (/ 1 t)) (.f64 (/.f64 #s(literal 1/2 binary64) t) z)) z)) y))) (patch (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 #s(approx (+ (* (/ 1/2 t) z) (/ 1 t)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) z)) z)) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 #s(approx (+ (* (/ 1/2 t) z) (/ 1 t)) (.f64 (/.f64 #s(literal 1/2 binary64) t) z)) z)) y))) (patch (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 #s(approx (+ (* (/ 1/2 t) z) (/ 1 t)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) z)) z)) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 #s(approx (+ (* (/ 1/2 t) z) (/ 1 t)) (.f64 (/.f64 #s(literal 1/2 binary64) t) z)) z)) y))) (patch (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 #s(approx (+ (* (/ 1/2 t) z) (/ 1 t)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) z)) z)) y))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 (fma.f64 (/.f64 z t) (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) t)) z (/.f64 #s(literal 1 binary64) t)) z)) y))) (patch (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 (fma.f64 (/.f64 z t) (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) t)) z (/.f64 #s(literal 1 binary64) t)) z)) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 (fma.f64 (/.f64 z t) (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) t)) z (/.f64 #s(literal 1 binary64) t)) z)) y))) (patch (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 (fma.f64 (/.f64 z t) (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) t)) z (/.f64 #s(literal 1 binary64) t)) z)) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 (fma.f64 (/.f64 z t) (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) t)) z (/.f64 #s(literal 1 binary64) t)) z)) y))) (patch (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 (fma.f64 (/.f64 z t) (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) t)) z (/.f64 #s(literal 1 binary64) t)) z)) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 (fma.f64 (/.f64 z t) (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) t)) z (/.f64 #s(literal 1 binary64) t)) z)) y))) (patch (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 (fma.f64 (/.f64 z t) (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) t)) z (/.f64 #s(literal 1 binary64) t)) z)) y))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z))) t)) (patch (-.f64 x (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z))) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z))) t)) (patch (-.f64 x (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z))) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z))) t)) (patch (-.f64 x (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z))) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z))) t)) (patch (-.f64 x (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z))) t)) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
30.0ms	z	@	-inf	((+ (* (/ -1 t) (log (+ 1 (* (- (exp z) 1) y)))) x) (/ -1 t) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (* (/ y t) (neg z)) (/ y t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (+ (* (+ (* (/ z t) (+ (* 1/24 z) 1/6)) (/ 1/2 t)) z) (/ 1 t)) (+ (* (/ z t) (+ (* 1/24 z) 1/6)) (/ 1/2 t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (- x (/ (log (+ 1 (* (- (exp z) 1) y))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) t) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- (exp z) 1) (neg z) (+ (* (/ 1/2 t) z) (/ 1 t)) (/ (- (exp z) 1) t) (* (/ (- (exp z) 1) t) y) (* (+ (* (+ (* (/ z t) (+ (* 1/24 z) 1/6)) (/ 1/2 t)) z) (/ 1 t)) z) (* (* (+ (* 1/2 z) 1) y) z))
28.0ms	t	@	inf	((+ (* (/ -1 t) (log (+ 1 (* (- (exp z) 1) y)))) x) (/ -1 t) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (* (/ y t) (neg z)) (/ y t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (+ (* (+ (* (/ z t) (+ (* 1/24 z) 1/6)) (/ 1/2 t)) z) (/ 1 t)) (+ (* (/ z t) (+ (* 1/24 z) 1/6)) (/ 1/2 t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (- x (/ (log (+ 1 (* (- (exp z) 1) y))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) t) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- (exp z) 1) (neg z) (+ (* (/ 1/2 t) z) (/ 1 t)) (/ (- (exp z) 1) t) (* (/ (- (exp z) 1) t) y) (* (+ (* (+ (* (/ z t) (+ (* 1/24 z) 1/6)) (/ 1/2 t)) z) (/ 1 t)) z) (* (* (+ (* 1/2 z) 1) y) z))
26.0ms	t	@	-inf	((+ (* (/ -1 t) (log (+ 1 (* (- (exp z) 1) y)))) x) (/ -1 t) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (* (/ y t) (neg z)) (/ y t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (+ (* (+ (* (/ z t) (+ (* 1/24 z) 1/6)) (/ 1/2 t)) z) (/ 1 t)) (+ (* (/ z t) (+ (* 1/24 z) 1/6)) (/ 1/2 t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (- x (/ (log (+ 1 (* (- (exp z) 1) y))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) t) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- (exp z) 1) (neg z) (+ (* (/ 1/2 t) z) (/ 1 t)) (/ (- (exp z) 1) t) (* (/ (- (exp z) 1) t) y) (* (+ (* (+ (* (/ z t) (+ (* 1/24 z) 1/6)) (/ 1/2 t)) z) (/ 1 t)) z) (* (* (+ (* 1/2 z) 1) y) z))
25.0ms	x	@	0	((+ (* (/ -1 t) (log (+ 1 (* (- (exp z) 1) y)))) x) (/ -1 t) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (* (/ y t) (neg z)) (/ y t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (+ (* (+ (* (/ z t) (+ (* 1/24 z) 1/6)) (/ 1/2 t)) z) (/ 1 t)) (+ (* (/ z t) (+ (* 1/24 z) 1/6)) (/ 1/2 t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (- x (/ (log (+ 1 (* (- (exp z) 1) y))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) t) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- (exp z) 1) (neg z) (+ (* (/ 1/2 t) z) (/ 1 t)) (/ (- (exp z) 1) t) (* (/ (- (exp z) 1) t) y) (* (+ (* (+ (* (/ z t) (+ (* 1/24 z) 1/6)) (/ 1/2 t)) z) (/ 1 t)) z) (* (* (+ (* 1/2 z) 1) y) z))
21.0ms	t	@	0	((+ (* (/ -1 t) (log (+ 1 (* (- (exp z) 1) y)))) x) (/ -1 t) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (* (/ y t) (neg z)) (/ y t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (+ (* (+ (* (/ z t) (+ (* 1/24 z) 1/6)) (/ 1/2 t)) z) (/ 1 t)) (+ (* (/ z t) (+ (* 1/24 z) 1/6)) (/ 1/2 t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (- x (/ (log (+ 1 (* (- (exp z) 1) y))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) t) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- (exp z) 1) (neg z) (+ (* (/ 1/2 t) z) (/ 1 t)) (/ (- (exp z) 1) t) (* (/ (- (exp z) 1) t) y) (* (+ (* (+ (* (/ z t) (+ (* 1/24 z) 1/6)) (/ 1/2 t)) z) (/ 1 t)) z) (* (* (+ (* 1/2 z) 1) y) z))

simplify185.0ms (1%)

Memory

12.6MiB live, 316.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 300×	`lower-fma.f64`
7 300×	`lower-fma.f32`
4 782×	`lower-*.f64`
4 782×	`lower-*.f32`
3 140×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	599	11166
1	1935	10788
2	5933	10366
0	8160	8350

Stop Event

1×	iter limit
1×	node limit

Counts

828 → 791

Calls

Call 1

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

rewrite489.0ms (2.5%)

Memory

-75.6MiB live, 330.7MiB allocated

Rules

4 494×	`lower-/.f32`
4 482×	`lower-/.f64`
3 306×	`lower-*.f32`
3 288×	`lower-*.f64`
2 652×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	452
0	96	452
1	377	450
2	3190	450
0	8495	440

Stop Event

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

Counts

27 → 411

Calls

Call 1

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

Outputs
(.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (neg.f64 t)) #s(literal 2 binary64)) (.f64 x x)) (pow.f64 (-.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (neg.f64 t)) x) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (neg.f64 t))) (pow.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (neg.f64 t)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (neg.f64 t)) x) (-.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (neg.f64 t)) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (neg.f64 t))) (pow.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (neg.f64 t)) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (neg.f64 t)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (neg.f64 t)) #s(literal 2 binary64)) (.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (neg.f64 t))) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (neg.f64 t)) #s(literal 2 binary64))) (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (neg.f64 t)) #s(literal 2 binary64)) (.f64 x x))) (neg.f64 (-.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (neg.f64 t)) #s(literal 2 binary64)) (.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (neg.f64 t)) x)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (neg.f64 t))) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (neg.f64 t)) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) x))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (neg.f64 t)) #s(literal 2 binary64)) (.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (neg.f64 t)) x))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (neg.f64 t))) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (neg.f64 t)) x) (-.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (neg.f64 t)) #s(literal 2 binary64)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (neg.f64 t))) (pow.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (neg.f64 t)) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (neg.f64 t)) x) (-.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (neg.f64 t)) #s(literal 2 binary64)) (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (neg.f64 t))) (pow.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (neg.f64 t)) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(fma.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 t #s(literal -1 binary64)) x)
(fma.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 #s(literal -1 binary64) t) x)
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (expm1.f64 z))) x)
(fma.f64 #s(literal -1 binary64) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)
(fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 t #s(literal -1 binary64)) (log1p.f64 (.f64 y (expm1.f64 z)))) x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (neg.f64 t)))) (/.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (neg.f64 t)) #s(literal 2 binary64)) (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (neg.f64 t)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (neg.f64 t)) #s(literal 2 binary64)) (-.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (neg.f64 t)) x)) (/.f64 (.f64 x x) (-.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (neg.f64 t)) x)))
(+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) x)
(+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))
(*.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) t))
(*.f64 #s(literal -1 binary64) (pow.f64 t #s(literal -1 binary64)))
(pow.f64 (neg.f64 t) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 t))))
(/.f64 #s(literal 1 binary64) (neg.f64 t))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 t)))
(/.f64 #s(literal -1 binary64) t)
(neg.f64 (pow.f64 t #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 t)) #s(literal -1 binary64)))
(log1p.f64 (*.f64 y (expm1.f64 z)))
(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))))))
(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 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(-.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))))
(-.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 (neg.f64 (+.f64 (pow.f64 (.f64 y (expm1.f64 z)) #s(literal 3 binary64)) #s(literal 1 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 (log1p.f64 (neg.f64 (pow.f64 (.f64 y (expm1.f64 z)) #s(literal 2 binary64)))) (log1p.f64 (.f64 (neg.f64 y) (expm1.f64 z))))
(-.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 (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 #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 #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 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 y (expm1.f64 z)) #s(literal 2 binary64)))) (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.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 (pow.f64 (fma.f64 (.f64 y (expm1.f64 z)) (-.f64 (*.f64 y (expm1.f64 z)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (expm1.f64 z)) y)
(.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 z)))
(.f64 (.f64 y (expm1.f64 z)) #s(literal 1 binary64))
(*.f64 y (expm1.f64 z))
(*.f64 (expm1.f64 z) y)
(/.f64 (neg.f64 (.f64 (expm1.f64 (.f64 z #s(literal 2 binary64))) y)) (neg.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (expm1.f64 (.f64 z #s(literal 3 binary64))) y)) (neg.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 y (expm1.f64 (.f64 z #s(literal 2 binary64))))) (neg.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 y (expm1.f64 (.f64 z #s(literal 3 binary64))))) (neg.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64)))))
(/.f64 (.f64 (expm1.f64 (.f64 z #s(literal 2 binary64))) y) (+.f64 (exp.f64 z) #s(literal 1 binary64)))
(/.f64 (.f64 (expm1.f64 (.f64 z #s(literal 3 binary64))) y) (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))))
(/.f64 (.f64 y (expm1.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 (exp.f64 z) #s(literal 1 binary64)))
(/.f64 (.f64 y (expm1.f64 (.f64 z #s(literal 3 binary64)))) (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))))
(fma.f64 (exp.f64 z) y (*.f64 y #s(literal -1 binary64)))
(fma.f64 (exp.f64 z) y (neg.f64 y))
(fma.f64 y (exp.f64 z) (*.f64 y #s(literal -1 binary64)))
(fma.f64 y (exp.f64 z) (neg.f64 y))
(+.f64 (.f64 (exp.f64 z) y) (.f64 y #s(literal -1 binary64)))
(+.f64 (*.f64 (exp.f64 z) y) (neg.f64 y))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (neg.f64 z) (/.f64 y t))))
#s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (neg.f64 z) (/.f64 y t)))
(.f64 (.f64 (/.f64 y t) #s(literal -1 binary64)) z)
(*.f64 (neg.f64 (/.f64 y t)) z)
(.f64 (.f64 (neg.f64 z) y) (pow.f64 t #s(literal -1 binary64)))
(*.f64 (neg.f64 z) (/.f64 y t))
(*.f64 (/.f64 y t) (neg.f64 z))
(.f64 y (.f64 (pow.f64 t #s(literal -1 binary64)) (neg.f64 z)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 z (neg.f64 (/.f64 y t)))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 y t) z))
(pow.f64 (/.f64 t (*.f64 (neg.f64 z) y)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 y) (neg.f64 z))) (neg.f64 (neg.f64 t)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z))) (neg.f64 (/.f64 t y)))
(/.f64 (neg.f64 (*.f64 (neg.f64 z) (neg.f64 y))) (neg.f64 (neg.f64 t)))
(/.f64 (neg.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64))) (neg.f64 (/.f64 t y)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 z) y))) (neg.f64 (neg.f64 t)))
(/.f64 (*.f64 (neg.f64 y) (neg.f64 z)) (neg.f64 t))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (/.f64 t y))
(/.f64 (*.f64 (neg.f64 z) (neg.f64 y)) (neg.f64 t))
(/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (/.f64 t y))
(/.f64 (neg.f64 (neg.f64 z)) (neg.f64 (/.f64 t y)))
(/.f64 (neg.f64 (*.f64 (neg.f64 z) y)) (neg.f64 t))
(/.f64 (*.f64 (neg.f64 z) y) t)
(/.f64 (neg.f64 z) (/.f64 t y))
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (neg.f64 z) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 t (*.f64 (neg.f64 z) y))))
(neg.f64 (*.f64 (/.f64 y t) z))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 t y)) (*.f64 (/.f64 y t) z))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y t) z))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t))
(*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 t #s(literal -1 binary64)) y)
(*.f64 #s(literal 1 binary64) (/.f64 y t))
(*.f64 y (pow.f64 t #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 t y) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 t y) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 y #s(literal -1 binary64))) (neg.f64 (neg.f64 t)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 t))))
(/.f64 (*.f64 y #s(literal -1 binary64)) (neg.f64 t))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 t)))
(/.f64 (neg.f64 y) (neg.f64 t))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 t y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 t y))
(/.f64 y t)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 t y) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 t y)))
(neg.f64 (/.f64 (neg.f64 y) t))
(neg.f64 (/.f64 y (neg.f64 t)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 t)) (/.f64 y (neg.f64 t)))
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(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 z z (.f64 #s(literal 0 binary64) z)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 z z (.f64 #s(literal 0 binary64) z)))))
(-.f64 #s(literal 0 binary64) z)
(+.f64 #s(literal 0 binary64) (neg.f64 z))
#s(approx (+ (* (/ 1/2 t) z) (/ 1 t)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) z))
#s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 z t) (/.f64 #s(literal 1/2 binary64) t)) z (pow.f64 t #s(literal -1 binary64))) z))
(.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 z t) (/.f64 #s(literal 1/2 binary64) t)) z (pow.f64 t #s(literal -1 binary64))) z)) y)
(.f64 y #s(approx (/ (- (exp z) 1) t) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 z t) (/.f64 #s(literal 1/2 binary64) t)) z (pow.f64 t #s(literal -1 binary64))) z)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 z t) (/.f64 #s(literal 1/2 binary64) t)) z (pow.f64 t #s(literal -1 binary64))) z)
(*.f64 z (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 z t) (/.f64 #s(literal 1/2 binary64) t)) z (pow.f64 t #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 z t) (/.f64 #s(literal 1/2 binary64) t)) z) #s(literal 2 binary64)) (pow.f64 t #s(literal -2 binary64))) z)) (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 z t) (/.f64 #s(literal 1/2 binary64) t)) z (/.f64 #s(literal -1 binary64) t))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 t #s(literal -3 binary64)) (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 z t) (/.f64 #s(literal 1/2 binary64) t)) z) #s(literal 3 binary64))) z)) (neg.f64 (+.f64 (-.f64 (pow.f64 t #s(literal -2 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 z t) (/.f64 #s(literal 1/2 binary64) t)) (/.f64 z t))) (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 z t) (/.f64 #s(literal 1/2 binary64) t)) z) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 z (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 z t) (/.f64 #s(literal 1/2 binary64) t)) z) #s(literal 2 binary64)) (pow.f64 t #s(literal -2 binary64))))) (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 z t) (/.f64 #s(literal 1/2 binary64) t)) z (/.f64 #s(literal -1 binary64) t))))
(/.f64 (neg.f64 (.f64 z (+.f64 (pow.f64 t #s(literal -3 binary64)) (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 z t) (/.f64 #s(literal 1/2 binary64) t)) z) #s(literal 3 binary64))))) (neg.f64 (+.f64 (-.f64 (pow.f64 t #s(literal -2 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 z t) (/.f64 #s(literal 1/2 binary64) t)) (/.f64 z t))) (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 z t) (/.f64 #s(literal 1/2 binary64) t)) z) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 z t) (/.f64 #s(literal 1/2 binary64) t)) z) #s(literal 2 binary64)) (pow.f64 t #s(literal -2 binary64))) z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 z t) (/.f64 #s(literal 1/2 binary64) t)) z (/.f64 #s(literal -1 binary64) t)))
(/.f64 (.f64 (+.f64 (pow.f64 t #s(literal -3 binary64)) (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 z t) (/.f64 #s(literal 1/2 binary64) t)) z) #s(literal 3 binary64))) z) (+.f64 (-.f64 (pow.f64 t #s(literal -2 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 z t) (/.f64 #s(literal 1/2 binary64) t)) (/.f64 z t))) (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 z t) (/.f64 #s(literal 1/2 binary64) t)) z) #s(literal 2 binary64))))
(/.f64 (.f64 z (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 z t) (/.f64 #s(literal 1/2 binary64) t)) z) #s(literal 2 binary64)) (pow.f64 t #s(literal -2 binary64)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 z t) (/.f64 #s(literal 1/2 binary64) t)) z (/.f64 #s(literal -1 binary64) t)))
(/.f64 (.f64 z (+.f64 (pow.f64 t #s(literal -3 binary64)) (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 z t) (/.f64 #s(literal 1/2 binary64) t)) z) #s(literal 3 binary64)))) (+.f64 (-.f64 (pow.f64 t #s(literal -2 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 z t) (/.f64 #s(literal 1/2 binary64) t)) (/.f64 z t))) (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 z t) (/.f64 #s(literal 1/2 binary64) t)) z) #s(literal 2 binary64))))
(fma.f64 (.f64 z #s(literal 1 binary64)) (pow.f64 t #s(literal -1 binary64)) (.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 z t) (/.f64 #s(literal 1/2 binary64) t)) z) z))
(fma.f64 (.f64 z #s(literal 1 binary64)) (pow.f64 t #s(literal -1 binary64)) (.f64 z (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 z t) (/.f64 #s(literal 1/2 binary64) t)) z)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 z t) (/.f64 #s(literal 1/2 binary64) t)) z) z (/.f64 z t))
(fma.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 z t) (/.f64 #s(literal 1/2 binary64) t)) z) z))
(fma.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 z (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 z t) (/.f64 #s(literal 1/2 binary64) t)) z)))
(fma.f64 (pow.f64 t #s(literal -1 binary64)) z (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 z t) (/.f64 #s(literal 1/2 binary64) t)) z) z))
(fma.f64 (pow.f64 t #s(literal -1 binary64)) z (.f64 z (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 z t) (/.f64 #s(literal 1/2 binary64) t)) z)))
(fma.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) t) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 z t) (/.f64 #s(literal 1/2 binary64) t)) z) z))
(fma.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) t) (.f64 z (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 z t) (/.f64 #s(literal 1/2 binary64) t)) z)))
(fma.f64 #s(literal 1 binary64) (/.f64 z t) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 z t) (/.f64 #s(literal 1/2 binary64) t)) z) z))
(fma.f64 #s(literal 1 binary64) (/.f64 z t) (.f64 z (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 z t) (/.f64 #s(literal 1/2 binary64) t)) z)))
(fma.f64 z (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 z t) (/.f64 #s(literal 1/2 binary64) t)) z) (/.f64 z t))
(fma.f64 z (pow.f64 t #s(literal -1 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 z t) (/.f64 #s(literal 1/2 binary64) t)) z) z))
(fma.f64 z (pow.f64 t #s(literal -1 binary64)) (.f64 z (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 z t) (/.f64 #s(literal 1/2 binary64) t)) z)))
(fma.f64 #s(literal -1 binary64) (/.f64 z (neg.f64 t)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 z t) (/.f64 #s(literal 1/2 binary64) t)) z) z))
(fma.f64 #s(literal -1 binary64) (/.f64 z (neg.f64 t)) (.f64 z (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 z t) (/.f64 #s(literal 1/2 binary64) t)) z)))
(+.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 z t) (/.f64 #s(literal 1/2 binary64) t)) z) z) (/.f64 z t))
(+.f64 (.f64 z (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 z t) (/.f64 #s(literal 1/2 binary64) t)) z)) (/.f64 z t))
(+.f64 (/.f64 z t) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 z t) (/.f64 #s(literal 1/2 binary64) t)) z) z))
(+.f64 (/.f64 z t) (.f64 z (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 z t) (/.f64 #s(literal 1/2 binary64) t)) z)))
(.f64 (.f64 z (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))) y)
(.f64 (.f64 y z) (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z)
(.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (.f64 y z))
(.f64 y (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z))
(.f64 z (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 z z) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 y z))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 y z))) (neg.f64 (fma.f64 (.f64 z z) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) z)))))
(/.f64 (.f64 (fma.f64 (.f64 z z) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 y z)) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 y z)) (fma.f64 (.f64 z z) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) z))))

eval172.0ms (0.9%)

Memory: 47.7MiB live, 422.7MiB allocated
Compiler: Compiled 23 742 to 2 694 computations (88.7% saved)

prune147.0ms (0.8%)

Memory

-58.1MiB live, 189.3MiB allocated

Pruning

40 alts after pruning (32 fresh and 8 done)

	Pruned	Kept	Total
New	1 198	4	1 202
Fresh	4	28	32
Picked	1	4	5
Done	0	4	4
Total	1 203	40	1 243

Accuracy

100.0%

Counts

1 243 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.6%	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x)
✓	83.8%	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 z y))) x)
	77.3%	(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ 1 (+ (* (exp z) y) (neg y)))) (*.f64 z y)) x)
✓	98.6%	(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
	77.9%	(-.f64 x (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)) y) z y) z))) t))
	78.4%	(-.f64 x (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z))) t))
✓	78.7%	(-.f64 x (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z))) t))
	83.8%	(-.f64 x (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (*.f64 z y))) t))
	62.3%	(-.f64 x (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) y) z) (.f64 (.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)))) t))
	73.4%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* 1/2 (* z y)) y) z) 1) #s(literal 1 binary64)))) t))
	12.0%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t))
	66.1%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t))
	78.7%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 #s(approx (* (- (exp z) 1) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z))))))
	50.7%	(-.f64 x (-.f64 (/.f64 (log.f64 (+.f64 (pow.f64 (.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))) t) (/.f64 (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (.f64 (exp.f64 z) y) #s(literal 2 binary64)))) t)))
	87.0%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y (/.f64 t (expm1.f64 z)))))
	86.1%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (expm1.f64 z) y)))))
	82.9%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (expm1.f64 z) (/.f64 y t))))
	78.6%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
	60.6%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) t t) (.f64 t t)) z)) y)))
	50.9%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 t (.f64 #s(literal 1/2 binary64) z)) t) (.f64 t (/.f64 t (*.f64 #s(literal 1/2 binary64) z)))) z)) y)))
	75.6%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)))
	78.5%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 #s(approx (+ (* (/ 1/2 t) z) (/ 1 t)) (/.f64 #s(literal 1 binary64) t)) z)) y)))
✓	63.5%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 #s(approx (+ (* (/ 1/2 t) z) (/ 1 t)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) z)) z)) y)))
	73.5%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 #s(approx (+ (* (+ (* (/ z t) (+ (* 1/24 z) 1/6)) (/ 1/2 t)) z) (/ 1 t)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) t)) z)) y)))
	72.7%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 y t)) z))))
	51.6%	(.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 #s(approx (+ ( (exp z) y) (neg y)) (.f64 y z))) (neg.f64 t)) #s(literal 2 binary64)) (.f64 x x)) (pow.f64 (-.f64 (/.f64 (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 y z))) (neg.f64 t)) x) #s(literal -1 binary64)))
✓	74.9%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
	75.2%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 t y)) x))
	88.1%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) x))
	28.0%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
	15.2%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 z) y) t)))
	13.5%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (neg.f64 z) (/.f64 t y))))
	15.7%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 y (/.f64 (neg.f64 t) z))))
	15.2%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (neg.f64 z) y)))))
	76.3%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (fma.f64 (/.f64 (/.f64 z x) t) (neg.f64 y) #s(literal 1 binary64)) x)))
	7.7%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) t) (.f64 t z)) (.f64 t t)) y)))
✓	15.7%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 z) t) y)))
✓	13.2%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z))))
	13.1%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) (neg.f64 z))))
	15.6%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (.f64 (.f64 z (/.f64 #s(literal -1 binary64) t)) y)))

Compiler

Compiled 1 544 to 870 computations (43.7% saved)

regimes191.0ms (1%)

Memory

3.2MiB live, 239.2MiB allocated

Counts

68 → 1

Calls

Call 1

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

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

Calls

9 calls:

41.0ms	z
31.0ms	x
19.0ms	t
19.0ms	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
18.0ms	y

Results

Accuracy	Segments	Branch
98.6%	1	`x`
98.6%	1	`y`
98.6%	1	`z`
98.6%	1	`t`
98.6%	1	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
98.6%	1	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
98.6%	1	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
98.6%	1	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
98.6%	1	`(exp.f64 z)`

Compiler

Compiled 47 to 63 computations (-34% saved)

regimes174.0ms (0.9%)

Memory

16.5MiB live, 252.6MiB allocated

Counts

57 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

9 calls:

33.0ms	z
32.0ms	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
18.0ms	x
17.0ms	t
15.0ms	y

Results

Accuracy	Segments	Branch
87.0%	1	`x`
95.9%	3	`y`
99.5%	5	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
91.4%	2	`z`
87.0%	1	`t`
92.2%	3	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
99.2%	3	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
99.2%	3	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
91.4%	2	`(exp.f64 z)`

Compiler

Compiled 47 to 63 computations (-34% saved)

regimes62.0ms (0.3%)

Memory

-26.1MiB live, 102.8MiB allocated

Counts

56 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

19.0ms	y
15.0ms	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
14.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
12.0ms	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))

Results

Accuracy	Segments	Branch
92.9%	3	`y`
95.3%	4	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
94.4%	3	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
94.4%	3	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`

Compiler

Compiled 29 to 34 computations (-17.2% saved)

regimes21.0ms (0.1%)

Memory

18.3MiB live, 18.3MiB allocated

Counts

42 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
94.4%	3	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
94.4%	3	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`

Compiler

Compiled 17 to 19 computations (-11.8% saved)

regimes121.0ms (0.6%)

Memory

4.3MiB live, 117.7MiB allocated

Counts

39 → 2

Calls

Call 1

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

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

Calls

7 calls:

49.0ms	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
21.0ms	y
11.0ms	z
10.0ms	(exp.f64 z)
10.0ms	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))

Results

Accuracy	Segments	Branch
87.0%	1	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
89.9%	2	`y`
87.0%	1	`z`
87.0%	1	`(exp.f64 z)`
87.0%	1	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
90.1%	2	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
90.1%	2	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`

Compiler

Compiled 45 to 55 computations (-22.2% saved)

regimes226.0ms (1.2%)

Memory

24.8MiB live, 174.7MiB allocated

Counts

37 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

9 calls:

80.0ms	x
70.0ms	y
14.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
13.0ms	(exp.f64 z)
10.0ms	t

Results

Accuracy	Segments	Branch
87.1%	2	`z`
87.1%	2	`(exp.f64 z)`
87.6%	3	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
88.0%	3	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
86.9%	3	`x`
82.9%	1	`t`
89.6%	3	`y`
90.1%	3	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
90.1%	3	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`

Compiler

Compiled 47 to 63 computations (-34% saved)

regimes154.0ms (0.8%)

Memory

-22.7MiB live, 100.5MiB allocated

Counts

36 → 2

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

44.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
32.0ms	y
29.0ms	(exp.f64 z)
10.0ms	x
10.0ms	z

Results

Accuracy	Segments	Branch
82.4%	3	`x`
78.6%	1	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
80.3%	2	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
85.2%	2	`(exp.f64 z)`
85.2%	2	`z`
82.5%	2	`y`
83.0%	2	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
83.0%	2	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`

Compiler

Compiled 46 to 59 computations (-28.3% saved)

regimes109.0ms (0.6%)

Memory

-15.2MiB live, 103.9MiB allocated

Counts

34 → 1

Calls

Call 1

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

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

Calls

8 calls:

21.0ms	y
16.0ms	t
10.0ms	x
9.0ms	z
8.0ms	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)

Results

Accuracy	Segments	Branch
78.6%	1	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
78.6%	1	`x`
78.6%	1	`y`
78.6%	1	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
78.6%	1	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
78.6%	1	`t`
78.6%	1	`z`
78.6%	1	`(exp.f64 z)`

Compiler

Compiled 34 to 51 computations (-50% saved)

regimes18.0ms (0.1%)

Memory

36.1MiB live, 36.1MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

9 calls:

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

Results

Accuracy	Segments	Branch
74.9%	1	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
74.9%	1	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
74.9%	1	`x`
74.9%	1	`z`
74.9%	1	`y`
74.9%	1	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
74.9%	1	`(exp.f64 z)`
74.9%	1	`t`
74.9%	1	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`

Compiler

Compiled 47 to 63 computations (-34% saved)

regimes24.0ms (0.1%)

Memory

3.1MiB live, 41.1MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

9 calls:

9.0ms	(exp.f64 z)
2.0ms	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
2.0ms	x
2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
15.7%	1	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
15.7%	1	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
15.7%	1	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
15.7%	1	`x`
15.7%	1	`y`
15.7%	1	`z`
15.7%	1	`t`
15.7%	1	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
15.7%	1	`(exp.f64 z)`

Compiler

Compiled 47 to 63 computations (-34% saved)

regimes54.0ms (0.3%)

Memory

-54.1MiB live, 40.5MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

9 calls:

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

Results

Accuracy	Segments	Branch
13.2%	1	`x`
13.2%	1	`y`
13.2%	1	`z`
13.2%	1	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
13.2%	1	`t`
13.2%	1	`(exp.f64 z)`
13.2%	1	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
13.2%	1	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
13.2%	1	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`

Compiler

Compiled 47 to 63 computations (-34% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1456097793684241	820700899.0607157
0.0ms	0.0	1.0

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.819200142521418e+36	6.625876146058184e+54
0.0ms	0.0	1.0

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.819200142521418e+36	6.625876146058184e+54
0.0ms	0.0	1.0

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	9.819200142521418e+36	6.625876146058184e+54

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.819200142521418e+36	6.625876146058184e+54
0.0ms	0.0	1.0

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.7738663327601759

Compiler

Compiled 16 to 19 computations (-18.8% saved)

simplify27.0ms (0.1%)

Memory

20.3MiB live, 20.3MiB allocated

Algorithm

1×	egg-herbie

Rules

68×	`-commutative-binary64-.f64`
68×	`+-commutative-binary64-+.f64`
66×	`sub-neg-binary64-neg.f64-+.f64--.f64`
46×	`neg-sub0-binary64--.f64-neg.f64`
46×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	530
1	150	530
2	214	530
3	264	530
4	293	530
5	301	530

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 (log1p.f64 #s(approx ( (- (exp z) 1) y) (.f64 z y))) t)) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 2 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y (/.f64 t (expm1.f64 z))))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 (log1p.f64 #s(approx ( (- (exp z) 1) y) (.f64 z y))) t)) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 9999999999999999538762658202121142272 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y (/.f64 t (expm1.f64 z))))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 (log1p.f64 #s(approx ( (- (exp z) 1) y) (.f64 z y))) t)) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 9999999999999999538762658202121142272 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (expm1.f64 z) (/.f64 y t)))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) #s(literal 1 binary64))) t))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 9999999999999999538762658202121142272 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) #s(literal 1 binary64))) t)))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 z y)) t)) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 9999999999999999538762658202121142272 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (expm1.f64 z) (/.f64 y t)))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) #s(literal 1 binary64))) t))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 #s(approx (+ (* (+ (* (/ z t) (+ (* 1/24 z) 1/6)) (/ 1/2 t)) z) (/ 1 t)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) t)) z)) y))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 z) t) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z))))

Outputs
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 (log1p.f64 #s(approx ( (- (exp z) 1) y) (.f64 z y))) t)) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 2 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y (/.f64 t (expm1.f64 z))))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))))
(if (<=.f64 (+.f64 (.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)) (-.f64 x (/.f64 (log1p.f64 #s(approx ( (- (exp z) 1) y) (.f64 y z))) t)) (if (<=.f64 (+.f64 (.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y (/.f64 t (expm1.f64 z))))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 y (expm1.f64 z)))) t))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 (log1p.f64 #s(approx ( (- (exp z) 1) y) (.f64 z y))) t)) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 9999999999999999538762658202121142272 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y (/.f64 t (expm1.f64 z))))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))))
(if (<=.f64 (+.f64 (.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)) (-.f64 x (/.f64 (log1p.f64 #s(approx ( (- (exp z) 1) y) (.f64 y z))) t)) (if (<=.f64 (+.f64 (.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 9999999999999999538762658202121142272 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y (/.f64 t (expm1.f64 z))))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 (log1p.f64 #s(approx ( (- (exp z) 1) y) (.f64 z y))) t)) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 9999999999999999538762658202121142272 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (expm1.f64 z) (/.f64 y t)))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) #s(literal 1 binary64))) t))))
(if (<=.f64 (+.f64 (.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)) (-.f64 x (/.f64 (log1p.f64 #s(approx ( (- (exp z) 1) y) (.f64 y z))) t)) (if (<=.f64 (+.f64 (.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 9999999999999999538762658202121142272 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 y t) (expm1.f64 z)))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) #s(literal 1 binary64))) t))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 9999999999999999538762658202121142272 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) #s(literal 1 binary64))) t)))
(if (<=.f64 (+.f64 (.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 9999999999999999538762658202121142272 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) #s(literal 1 binary64))) t)))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 z y)) t)) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 9999999999999999538762658202121142272 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (expm1.f64 z) (/.f64 y t)))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) #s(literal 1 binary64))) t))))
(if (<=.f64 (+.f64 (.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 y z)) t)) (if (<=.f64 (+.f64 (.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 9999999999999999538762658202121142272 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 y t) (expm1.f64 z)))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) #s(literal 1 binary64))) t))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 #s(approx (+ (* (+ (* (/ z t) (+ (* 1/24 z) 1/6)) (/ 1/2 t)) z) (/ 1 t)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) t)) z)) y))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 z) t) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z)))

soundness1.5s (8%)

Memory

21.7MiB live, 1 006.9MiB allocated

Rules

15 880×	`lower-fma.f64`
15 880×	`lower-fma.f32`
8 892×	`lower-fma.f64`
8 892×	`lower-fma.f32`
8 310×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	335	2420
1	1012	2316
2	3176	2227
0	8212	1752
0	52	355
0	93	355
1	411	320
2	3483	320
0	9484	316
0	12	45
0	19	45
1	73	45
2	593	45
3	7204	45
0	8984	38
0	669	11858
1	2206	11474
2	7114	11073
0	8155	9057
0	599	11166
1	1935	10788
2	5933	10366
0	8160	8350
0	57	346
0	92	340
1	388	309
2	3219	309
0	8271	304
0	581	10178
1	1842	9778
2	5619	9298
0	8367	7486

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

Compiler

Compiled 583 to 410 computations (29.7% saved)

preprocess78.0ms (0.4%)

Memory: 9.3MiB live, 250.1MiB allocated
Compiler: Compiled 692 to 250 computations (63.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

start0.0ms (0%)

analyze356.0ms (1.9%)

sample8.8s (45.7%)

explain394.0ms (2%)

preprocess267.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify41.0ms (0.2%)

localize139.0ms (0.7%)

series182.0ms (0.9%)

simplify217.0ms (1.1%)

rewrite226.0ms (1.2%)

eval159.0ms (0.8%)

prune67.0ms (0.3%)

simplify361.0ms (1.9%)

localize745.0ms (3.9%)

series181.0ms (0.9%)

simplify210.0ms (1.1%)

rewrite240.0ms (1.2%)

eval222.0ms (1.2%)

prune69.0ms (0.4%)

simplify157.0ms (0.8%)

localize449.0ms (2.3%)

series442.0ms (2.3%)

simplify190.0ms (1%)

rewrite225.0ms (1.2%)

eval262.0ms (1.4%)

prune131.0ms (0.7%)

simplify137.0ms (0.7%)

localize376.0ms (2%)

series211.0ms (1.1%)

simplify185.0ms (1%)

rewrite489.0ms (2.5%)

eval172.0ms (0.9%)

prune147.0ms (0.8%)

regimes191.0ms (1%)

regimes174.0ms (0.9%)

regimes62.0ms (0.3%)

regimes21.0ms (0.1%)

regimes121.0ms (0.6%)

regimes226.0ms (1.2%)

regimes154.0ms (0.8%)

regimes109.0ms (0.6%)

regimes18.0ms (0.1%)

regimes24.0ms (0.1%)

regimes54.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify27.0ms (0.1%)

soundness1.5s (8%)

preprocess78.0ms (0.4%)

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