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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze360.0ms (1.9%)

Memory

53.7MiB live, 512.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 14 computations (6.7% saved)

sample8.4s (43.7%)

Memory

67.7MiB live, 5 598.0MiB allocated

Samples

3.7s	4 458×	1	valid
885.0ms	1 210×	5	exit
743.0ms	3 798×	0	valid
516.0ms	622×	1	invalid
349.0ms	364×	4	exit
184.0ms	1 721×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 5.4s

ival-exp: 1.9s (34.4% of total)

ival-log: 1.8s (32.2% of total)

ival-mult: 431.0ms (7.9% of total)

ival-sub: 368.0ms (6.8% of total)

ival-add: 351.0ms (6.5% of total)

ival-div: 327.0ms (6% of total)

adjust: 313.0ms (5.8% of total)

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

exact: 8.0ms (0.1% of total)

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

Bogosity

explain425.0ms (2.2%)

Memory

-7.4MiB live, 517.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
144	46	(3.744048079763237e+118 2.5429002429803862e-256 -3.2351775688441253e-106 8.497553200185545e-69)	0	-	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
73	7	(2.698738693441839e-244 -11788124482605.467 -1.3120820670298804e-107 -6.100124369179599e+265)	0	-	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
16	0	-	1	(4.782118786140929e-302 1.1416480462263905e-67 -9.655911275585099e-250 1.5279017898477334e-46)	`(/.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	188	0
`+.f64`	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`	cancellation	31	0
`/.f64`	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`	u/n	3	0
↳	`(exp.f64 z)`	underflow	71
↳	`(*.f64 y (exp.f64 z))`	underflow	71
↳	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`	underflow	45
`log.f64`	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`	oflow-rescue	2	0
↳	`(exp.f64 z)`	overflow	2
↳	`(*.f64 y (exp.f64 z))`	overflow	2
↳	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`	overflow	2

Confusion

	Predicted +	Predicted -
+	82	19
-	123	32

Precision

0.4

Recall

0.8118811881188119

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	82	0	19
-	123	0	32

Precision?

0.4

Recall?

0.8118811881188119

Freqs

test

number	freq
0	51
1	186
2	19

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

215.0ms	322×	1	valid
93.0ms	112×	2	valid
7.0ms	78×	0	valid

Compiler

Compiled 127 to 40 computations (68.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 251.0ms

ival-log: 161.0ms (64.1% of total)

ival-exp: 45.0ms (17.9% of total)

adjust: 14.0ms (5.6% of total)

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

ival-div: 8.0ms (3.2% 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)

preprocess277.0ms (1.4%)

Memory

-12.0MiB live, 143.4MiB 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: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.0%	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify31.0ms (0.2%)

Memory

23.1MiB live, 62.3MiB 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

localize245.0ms (1.3%)

Memory

-28.4MiB live, 236.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(*.f64 y (exp.f64 z))
accuracy	3.7445487325016518	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
accuracy	17.356483087865318	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
accuracy	33.1354700466107	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))

Samples

196.0ms	161×	1	valid
29.0ms	56×	2	valid
4.0ms	39×	0	valid

Compiler

Compiled 57 to 14 computations (75.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 212.0ms

ival-div: 137.0ms (64.8% of total)

ival-log: 31.0ms (14.7% of total)

ival-exp: 24.0ms (11.3% of total)

adjust: 8.0ms (3.8% of total)

ival-sub: 5.0ms (2.4% of total)

ival-mult: 3.0ms (1.4% of total)

ival-add: 3.0ms (1.4% of total)

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

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

exact: 0.0ms (0% of total)

series140.0ms (0.7%)

Memory

11.6MiB live, 168.4MiB 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
35.0ms	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)))
31.0ms	t	@	0	((+ (- 1 y) (* y (exp z))) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z)))
29.0ms	t	@	inf	((+ (- 1 y) (* y (exp z))) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z)))
20.0ms	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)))

simplify248.0ms (1.3%)

Memory

9.7MiB live, 165.4MiB 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)

rewrite221.0ms (1.1%)

Memory

0.7MiB live, 229.8MiB 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))

eval150.0ms (0.8%)

Memory: -22.0MiB live, 178.2MiB allocated
Compiler: Compiled 12 692 to 1 636 computations (87.1% saved)

prune25.0ms (0.1%)

Memory

14.8MiB live, 62.4MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	422	14	436
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	423	14	437

Accuracy

99.3%

Counts

437 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	84.6%	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x)
	51.0%	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) #s(approx (* y (exp z)) (fma.f64 z y y)))) t))
	65.5%	(-.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))
▶	65.2%	(-.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))
	73.0%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
	39.2%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))
	74.0%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
	58.4%	(-.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))
▶	80.9%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
	71.0%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
▶	58.9%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (fma.f64 (.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z)))
	81.8%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
▶	69.4%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
	26.2%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))

Compiler

Compiled 330 to 302 computations (8.5% saved)

simplify166.0ms (0.9%)

Memory

-5.6MiB live, 183.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)))
cost-diff	0	(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64))))
cost-diff	0	(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)))) t)
cost-diff	0	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)))) t))
cost-diff	0	(*.f64 (expm1.f64 z) y)
cost-diff	0	#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))
cost-diff	0	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)
cost-diff	0	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
cost-diff	0	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (fma.f64 (.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z))
cost-diff	0	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (fma.f64 (.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z)))
cost-diff	128	(.f64 (/.f64 (-.f64 y (.f64 y y)) t) #s(literal 1/2 binary64))
cost-diff	704	(fma.f64 (.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	(*.f64 (/.f64 y t) z)
cost-diff	0	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))
cost-diff	0	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
cost-diff	0	(log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))
cost-diff	0	(/.f64 #s(literal -1 binary64) t)
cost-diff	192	(fma.f64 (exp.f64 z) y (neg.f64 y))
cost-diff	192	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x)

Rules

13 678×	`lower-fma.f32`
13 668×	`lower-fma.f64`
4 634×	`lower-*.f32`
4 622×	`lower-*.f64`
1 584×	`lower-neg.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	368
0	75	370
1	129	326
2	233	326
3	421	325
4	978	321
5	2747	321
6	5405	321
0	8017	308

Stop Event

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

Calls

Call 1

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

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

localize587.0ms (3%)

Memory

10.7MiB live, 338.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.04296875	(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64))
accuracy	3.7445487325016518	(/.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	16.776727408241513	#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	33.1354700466107	(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	0.00390625	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
accuracy	0.015625	(*.f64 (expm1.f64 z) y)
accuracy	3.7445487325016518	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)
accuracy	16.42325504258789	#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))
accuracy	3.310712745963655	(/.f64 (-.f64 y (*.f64 y y)) t)
accuracy	3.665296311417228	(.f64 (fma.f64 (.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z)
accuracy	9.72968954413492	(fma.f64 (.f64 (/.f64 (-.f64 y (.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t))
accuracy	26.154719148216238	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (fma.f64 (.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z))
accuracy	0	(/.f64 y t)
accuracy	0.00390625	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
accuracy	5.445959435359088	(*.f64 (/.f64 y t) z)
accuracy	25.134144900233366	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))
accuracy	0	(exp.f64 z)
accuracy	0.4920029900696494	(log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))
accuracy	0.6719249789442591	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x)
accuracy	31.383877839536737	(fma.f64 (exp.f64 z) y (neg.f64 y))

Samples

335.0ms	161×	1	valid
164.0ms	56×	2	valid
56.0ms	39×	0	valid

Compiler

Compiled 286 to 39 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 440.0ms

ival-log: 236.0ms (53.7% of total)

adjust: 97.0ms (22.1% of total)

ival-div: 32.0ms (7.3% of total)

ival-mult: 25.0ms (5.7% of total)

ival-exp: 25.0ms (5.7% of total)

ival-add: 12.0ms (2.7% of total)

ival-sub: 6.0ms (1.4% of total)

ival-log1p: 5.0ms (1.1% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series524.0ms (2.7%)

Memory

-5.6MiB live, 229.9MiB allocated

Counts

24 → 756

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
164.0ms	t	@	0	((+ (* (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y))))) x) (+ (* (exp z) y) (neg y)) (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ y t) z) (/ y t) (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (* (/ (- 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)))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (exp z) (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (/ (- y (* y y)) t) (+ (* (+ (* 1/2 (* z y)) y) z) 1))
154.0ms	t	@	inf	((+ (* (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y))))) x) (+ (* (exp z) y) (neg y)) (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ y t) z) (/ y t) (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (* (/ (- 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)))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (exp z) (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (/ (- y (* y y)) t) (+ (* (+ (* 1/2 (* z y)) y) z) 1))
128.0ms	z	@	inf	((+ (* (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y))))) x) (+ (* (exp z) y) (neg y)) (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ y t) z) (/ y t) (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (* (/ (- 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)))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (exp z) (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (/ (- y (* y y)) t) (+ (* (+ (* 1/2 (* z y)) y) z) 1))
13.0ms	t	@	-inf	((+ (* (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y))))) x) (+ (* (exp z) y) (neg y)) (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ y t) z) (/ y t) (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (* (/ (- 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)))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (exp z) (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (/ (- y (* y y)) t) (+ (* (+ (* 1/2 (* z y)) y) z) 1))
11.0ms	z	@	-inf	((+ (* (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y))))) x) (+ (* (exp z) y) (neg y)) (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ y t) z) (/ y t) (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (* (/ (- 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)))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (exp z) (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (/ (- y (* y y)) t) (+ (* (+ (* 1/2 (* z y)) y) z) 1))

simplify238.0ms (1.2%)

Memory

8.6MiB live, 316.0MiB allocated

Algorithm

1×	egg-herbie

Rules

14 466×	`lower-fma.f64`
14 466×	`lower-fma.f32`
5 684×	`lower-*.f64`
5 684×	`lower-*.f32`
4 130×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	516	11487
1	1643	11056
2	4880	10665
0	8312	8597

Stop Event

1×	iter limit
1×	node limit

Counts

756 → 726

Calls

Call 1

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

rewrite231.0ms (1.2%)

Memory

-0.1MiB live, 325.8MiB allocated

Rules

4 958×	`lower-*.f32`
4 946×	`lower-*.f64`
3 808×	`lower-/.f32`
3 798×	`lower-/.f64`
3 732×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	320
0	75	322
1	317	278
2	2551	278
0	8360	274

Stop Event

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

Counts

24 → 506

Calls

Call 1

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

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

eval256.0ms (1.3%)

Memory: -3.2MiB live, 419.9MiB allocated
Compiler: Compiled 26 047 to 3 003 computations (88.5% saved)

prune110.0ms (0.6%)

Memory

5.1MiB live, 244.4MiB allocated

Pruning

34 alts after pruning (32 fresh and 2 done)

	Pruned	Kept	Total
New	1 250	25	1 275
Fresh	2	7	9
Picked	3	2	5
Done	0	0	0
Total	1 255	34	1 289

Accuracy

99.3%

Counts

1 289 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.1%	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (/.f64 (.f64 (expm1.f64 (.f64 z #s(literal 3 binary64))) y) (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 #s(literal 1 binary64) (exp.f64 z))))) x)
▶	98.2%	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x)
	71.9%	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.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))) x)
▶	74.1%	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (.f64 (fma.f64 (.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z))) x)
	72.6%	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) x)
	81.5%	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 z y))) x)
	71.0%	(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ 1 (+ (* (exp z) y) (neg y)))) (*.f64 z y)) x)
	51.0%	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) #s(approx (* y (exp z)) (fma.f64 z y y)))) t))
	65.5%	(-.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))
▶	73.0%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
	39.2%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))
	23.9%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* 1/2 (* z y)) y) z) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) t))
	10.3%	(-.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))
	74.0%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* 1/2 (* z y)) y) z) 1) #s(literal 1 binary64)))) t))
✓	80.9%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
	71.0%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
	65.1%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 y z) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))))))
	80.9%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)))))
	69.4%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y))))
	71.0%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 y z)))))
	67.6%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (fma.f64 (.f64 #s(approx (/ (- y (* y y)) t) (/.f64 y t)) #s(literal 1/2 binary64)) z (/.f64 y t)) z)))
	49.2%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 t)) (.f64 (neg.f64 t) y)) (.f64 t t)) z)))
	81.8%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
✓	69.4%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
	69.4%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z)))
	64.0%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (+ ( (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (fma.f64 (/.f64 z t) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) t)) y)) z)))
▶	57.8%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (+ ( (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (.f64 (.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))) z)))
▶	71.5%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t))))
	66.5%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 z (/.f64 z t)) (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 z t))) y))))
	60.1%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (.f64 (.f64 (fma.f64 (.f64 z (/.f64 z t)) #s(literal -1/2 binary64) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 z t)) y)) y) y))))
	68.9%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 z t)) y))))
	55.1%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (.f64 (.f64 y (/.f64 (.f64 (.f64 z z) y) t)) #s(literal -1/2 binary64)))))
	24.0%	(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 t (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (fma.f64 (fma.f64 (.f64 y z) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))))) #s(literal -3 binary64))) (pow.f64 (fma.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (fma.f64 (fma.f64 (.f64 y z) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (fma.f64 (fma.f64 (.f64 y z) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t) x) (.f64 x x)) #s(literal -1 binary64)))
	26.2%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))

Compiler

Compiled 989 to 829 computations (16.2% saved)

simplify128.0ms (0.7%)

Memory

41.8MiB live, 148.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

8 748×	`lower-fma.f32`
8 738×	`lower-fma.f64`
3 574×	`lower-*.f32`
3 558×	`lower-*.f64`
1 788×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	412
0	84	409
1	156	379
2	290	379
3	556	377
4	1109	369
5	2508	369
6	4094	369
7	6563	369
0	8216	357

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

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

localize331.0ms (1.7%)

Memory

-6.3MiB live, 521.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.08203125	(fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))
accuracy	0.4920029900696494	(log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (.f64 (fma.f64 (.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z)))
accuracy	0.6719249789442591	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (.f64 (fma.f64 (.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z))) x)
accuracy	17.720678847855293	#s(approx (+ (* (exp z) y) (neg y)) (.f64 (fma.f64 (.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z))
accuracy	0.00390625	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
accuracy	3.7445487325016518	(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)
accuracy	13.843763504057922	#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))
accuracy	33.1354700466107	(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))
accuracy	3.665296311417228	(.f64 #s(approx (+ ( (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (.f64 (.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))) z)
accuracy	4.750535353947751	(/.f64 (*.f64 z y) t)
accuracy	26.154719148216238	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (+ ( (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (.f64 (.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))) z))
accuracy	40.20208294534955	#s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (.f64 (.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64)))
accuracy	0	(/.f64 z t)
accuracy	0.00390625	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t))))
accuracy	5.017687507001242	(*.f64 y (/.f64 z t))
accuracy	25.134144900233366	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))
accuracy	0	(expm1.f64 z)
accuracy	0.015625	(*.f64 (expm1.f64 z) y)
accuracy	0.4920029900696494	(log1p.f64 (*.f64 (expm1.f64 z) y))
accuracy	0.6719249789442591	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x)

Samples

182.0ms	161×	1	valid
79.0ms	56×	2	valid
16.0ms	39×	0	valid

Compiler

Compiled 295 to 51 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 219.0ms

ival-log: 45.0ms (20.5% of total)

ival-mult: 38.0ms (17.3% of total)

ival-exp: 28.0ms (12.8% of total)

adjust: 23.0ms (10.5% of total)

ival-sub: 22.0ms (10% of total)

ival-expm1: 16.0ms (7.3% of total)

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

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

ival-log1p: 10.0ms (4.6% of total)

const: 4.0ms (1.8% of total)

exact: 1.0ms (0.5% of total)

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

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

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

series268.0ms (1.4%)

Memory

0.6MiB live, 271.0MiB allocated

Counts

22 → 696

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

Calls

12 calls:

Time	Variable		Point	Expression
60.0ms	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)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (/ z t)) (/ z t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y 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) (log (+ 1 (+ (* (exp z) y) (neg y)))) (+ (* (exp z) y) (neg y)) (- (exp z) 1) (/ (* z y) t) (+ (* 1/6 z) 1/2))
43.0ms	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)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (/ z t)) (/ z t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y 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) (log (+ 1 (+ (* (exp z) y) (neg y)))) (+ (* (exp z) y) (neg y)) (- (exp z) 1) (/ (* z y) t) (+ (* 1/6 z) 1/2))
42.0ms	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)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (/ z t)) (/ z t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y 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) (log (+ 1 (+ (* (exp z) y) (neg y)))) (+ (* (exp z) y) (neg y)) (- (exp z) 1) (/ (* z y) t) (+ (* 1/6 z) 1/2))
38.0ms	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)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (/ z t)) (/ z t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y 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) (log (+ 1 (+ (* (exp z) y) (neg y)))) (+ (* (exp z) y) (neg y)) (- (exp z) 1) (/ (* z y) t) (+ (* 1/6 z) 1/2))
22.0ms	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)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (/ z t)) (/ z t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y 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) (log (+ 1 (+ (* (exp z) y) (neg y)))) (+ (* (exp z) y) (neg y)) (- (exp z) 1) (/ (* z y) t) (+ (* 1/6 z) 1/2))

simplify371.0ms (1.9%)

Memory

-20.6MiB live, 196.0MiB allocated

Algorithm

1×	egg-herbie

Rules

13 598×	`lower-fma.f64`
13 598×	`lower-fma.f32`
5 544×	`lower-*.f64`
5 544×	`lower-*.f32`
4 096×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	550	10381
1	1748	9914
2	5187	9541
0	8736	7676

Stop Event

1×	iter limit
1×	node limit

Counts

696 → 665

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

rewrite271.0ms (1.4%)

Memory

3.2MiB live, 269.7MiB allocated

Rules

4 298×	`lower-*.f32`
4 282×	`lower-*.f64`
4 104×	`lower-/.f32`
4 096×	`lower-/.f64`
3 532×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	334
0	84	331
1	373	301
2	2858	301
0	8587	293

Stop Event

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

Counts

22 → 399

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

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 (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 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (neg.f64 t)) x) (.f64 x x))) (.f64 (-.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 (-.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)))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 t (*.f64 y z))))
(neg.f64 (/.f64 (*.f64 (neg.f64 y) z) t))
(neg.f64 (/.f64 (*.f64 y z) (neg.f64 t)))
(exp.f64 (.f64 (log.f64 (/.f64 t (.f64 y z))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 z z) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 z z) (-.f64 #s(literal 1/4 binary64) (*.f64 z #s(literal 1/12 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 z z) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 z z) (-.f64 #s(literal 1/4 binary64) (.f64 z #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 #s(literal 1/6 binary64) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) z))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 z z) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 z z) (-.f64 #s(literal 1/4 binary64) (.f64 z #s(literal 1/12 binary64)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) z) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) z #s(literal -1/2 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) z #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 #s(literal 1/6 binary64) z) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) z)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 z z) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) z) #s(literal 2 binary64)) (.f64 z #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 z z) (-.f64 #s(literal 1/4 binary64) (.f64 z #s(literal 1/12 binary64))))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 z z) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) z #s(literal -1/2 binary64)))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) z) #s(literal 2 binary64)) (.f64 z #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (.f64 z z) (-.f64 #s(literal 1/4 binary64) (.f64 z #s(literal 1/12 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 z z) #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 z z) (-.f64 #s(literal 1/4 binary64) (.f64 z #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 z z) #s(literal -1/4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 z z) (-.f64 #s(literal 1/4 binary64) (.f64 z #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal 1/8 binary64)))))
(fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))
(fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) z) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) z #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) z #s(literal -1/2 binary64))))
(+.f64 (*.f64 #s(literal 1/6 binary64) z) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z))

eval237.0ms (1.2%)

Memory: 20.0MiB live, 267.4MiB allocated
Compiler: Compiled 21 373 to 2 264 computations (89.4% saved)

prune117.0ms (0.6%)

Memory

-14.7MiB live, 180.2MiB allocated

Pruning

36 alts after pruning (29 fresh and 7 done)

	Pruned	Kept	Total
New	1 087	7	1 094
Fresh	5	22	27
Picked	0	5	5
Done	0	2	2
Total	1 092	36	1 128

Accuracy

99.3%

Counts

1 128 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.1%	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (/.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))))) x)
✓	98.2%	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x)
	71.2%	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (.f64 #s(approx (- (exp z) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) x)
	72.6%	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (.f64 #s(approx (- (exp z) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) x)
✓	74.1%	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (.f64 (fma.f64 (.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z))) x)
	81.5%	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 z y))) x)
	71.0%	(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ 1 (+ (* (exp z) y) (neg y)))) (*.f64 z y)) x)
	51.0%	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) #s(approx (* y (exp z)) (fma.f64 z y y)))) t))
	65.5%	(-.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))
✓	73.0%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
	39.2%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))
	23.9%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* 1/2 (* z y)) y) z) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) t))
	10.3%	(-.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))
▶	74.0%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* 1/2 (* z y)) y) z) 1) #s(literal 1 binary64)))) t))
✓	80.9%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
▶	71.0%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
▶	73.0%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))))))
	80.9%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)))))
	69.4%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y))))
	71.5%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y (/.f64 t z))))
	71.0%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 y z)))))
	67.6%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (fma.f64 (.f64 #s(approx (/ (- y (* y y)) t) (/.f64 y t)) #s(literal 1/2 binary64)) z (/.f64 y t)) z)))
	49.2%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 t)) (.f64 (neg.f64 t) y)) (.f64 t t)) z)))
	81.8%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
✓	69.4%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
	69.4%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z)))
	64.0%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (+ ( (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (fma.f64 (/.f64 z t) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) t)) y)) z)))
✓	57.8%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (+ ( (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (.f64 (.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))) z)))
	57.4%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (+ ( (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (.f64 (.f64 y (/.f64 y (/.f64 t z))) #s(literal -1/2 binary64))) z)))
✓	71.5%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t))))
	66.5%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 z (/.f64 z t)) (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 z t))) y))))
	60.1%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (.f64 (.f64 (fma.f64 (.f64 z (/.f64 z t)) #s(literal -1/2 binary64) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 z t)) y)) y) y))))
	68.9%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 z t)) y))))
▶	55.1%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (.f64 (.f64 y (/.f64 (.f64 (.f64 z z) y) t)) #s(literal -1/2 binary64)))))
	26.1%	(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 t (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (fma.f64 y z #s(literal 1 binary64))))) #s(literal -3 binary64))) (pow.f64 (fma.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t) x) (*.f64 x x)) #s(literal -1 binary64)))
	26.2%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))

Compiler

Compiled 930 to 803 computations (13.7% saved)

simplify245.0ms (1.3%)

Memory

17.1MiB live, 255.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))
cost-diff	0	(/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))))
cost-diff	0	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))))
cost-diff	0	#s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* 1/2 (* z y)) y) z) 1) #s(literal 1 binary64)))
cost-diff	0	(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* 1/2 (* z y)) y) z) 1) #s(literal 1 binary64))))
cost-diff	0	(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* 1/2 (* z y)) y) z) 1) #s(literal 1 binary64)))) t)
cost-diff	0	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* 1/2 (* z y)) y) z) 1) #s(literal 1 binary64)))) t))
cost-diff	0	(.f64 (.f64 y (/.f64 (.f64 (.f64 z z) y) t)) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (.f64 (.f64 y (/.f64 (.f64 (.f64 z z) y) t)) #s(literal -1/2 binary64)))
cost-diff	0	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (.f64 (.f64 y (/.f64 (.f64 (.f64 z z) y) t)) #s(literal -1/2 binary64))))
cost-diff	0	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (.f64 (.f64 y (/.f64 (.f64 (.f64 z z) y) t)) #s(literal -1/2 binary64)))))
cost-diff	0	(*.f64 z y)
cost-diff	0	#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))
cost-diff	0	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)
cost-diff	0	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
cost-diff	0	(log1p.f64 (/.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)))))
cost-diff	0	(/.f64 #s(literal -1 binary64) t)
cost-diff	192	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (/.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))))) x)
cost-diff	6400	(fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64)))

Rules

12 074×	`lower-fma.f32`
12 068×	`lower-fma.f64`
4 148×	`lower-*.f32`
4 134×	`lower-*.f64`
2 158×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	501
0	93	501
1	160	501
2	311	497
3	657	496
4	1462	490
5	3022	490
6	5889	490
0	8279	423

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

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

localize362.0ms (1.9%)

Memory

-25.5MiB live, 610.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.5673786055122398	(/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))))
accuracy	3.780252227783192	(/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))))
accuracy	13.843763504057922	#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))
accuracy	33.1354700466107	(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))
accuracy	3.7445487325016518	(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* 1/2 (* z y)) y) z) 1) #s(literal 1 binary64)))) t)
accuracy	16.776727408241513	#s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* 1/2 (* z y)) y) z) 1) #s(literal 1 binary64)))
accuracy	24.858280046575008	#s(approx (+ (* (+ (* 1/2 (* z y)) y) z) 1) #s(literal 1 binary64))
accuracy	33.1354700466107	(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* 1/2 (* z y)) y) z) 1) #s(literal 1 binary64))))
accuracy	7.291718898007972	(/.f64 (.f64 (.f64 z z) y) t)
accuracy	7.505236971532145	(.f64 (.f64 z z) y)
accuracy	26.154719148216238	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (.f64 (.f64 y (/.f64 (.f64 (.f64 z z) y) t)) #s(literal -1/2 binary64))))
accuracy	30.791319608625614	#s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (.f64 (.f64 y (/.f64 (.f64 (.f64 z z) y) t)) #s(literal -1/2 binary64)))
accuracy	0	(*.f64 z y)
accuracy	0.00390625	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
accuracy	3.7445487325016518	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)
accuracy	25.98845456558787	#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))
accuracy	0.16032966452874398	(expm1.f64 (*.f64 z #s(literal 3 binary64)))
accuracy	0.4920029900696494	(log1p.f64 (/.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)))))
accuracy	0.546875	(/.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))))
accuracy	0.6719249789442591	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (/.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))))) x)

Samples

256.0ms	198×	1	valid
33.0ms	18×	2	valid
15.0ms	40×	0	valid

Compiler

Compiled 356 to 52 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 237.0ms

ival-mult: 45.0ms (19% of total)

ival-add: 41.0ms (17.3% of total)

ival-log: 41.0ms (17.3% of total)

ival-exp: 35.0ms (14.8% of total)

adjust: 22.0ms (9.3% of total)

ival-div: 20.0ms (8.4% of total)

ival-expm1: 18.0ms (7.6% of total)

ival-sub: 8.0ms (3.4% of total)

ival-log1p: 6.0ms (2.5% of total)

exact: 1.0ms (0.4% of total)

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

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

series289.0ms (1.5%)

Memory

7.4MiB live, 441.8MiB allocated

Counts

26 → 804

Calls

Call 1

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

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

12 calls:

Time	Variable		Point	Expression
89.0ms	z	@	-inf	((+ (* (exp z) (exp z)) (+ (exp z) 1)) (+ (* (/ -1 t) (log (+ 1 (/ (* (- (exp (* z 3)) 1) y) (+ (* (exp z) (exp z)) (+ (exp z) 1)))))) x) (/ -1 t) (log (+ 1 (/ (* (- (exp (* z 3)) 1) y) (+ (* (exp z) (exp z)) (+ (exp z) 1))))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* z y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (* (* y (/ (* (* z z) y) t)) -1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ t (log (+ (- 1 y) (* y (exp z))))) (log (+ (- 1 y) (* y (exp z)))) (/ (* (- (exp (* z 3)) 1) y) (+ (* (exp z) (exp z)) (+ (exp z) 1))) (- (exp (* z 3)) 1) (* (* z z) y) (/ (* (* z z) y) t) (+ (* (+ (* 1/2 (* z y)) y) z) 1) (+ (- 1 y) (* y (exp z))))
41.0ms	z	@	inf	((+ (* (exp z) (exp z)) (+ (exp z) 1)) (+ (* (/ -1 t) (log (+ 1 (/ (* (- (exp (* z 3)) 1) y) (+ (* (exp z) (exp z)) (+ (exp z) 1)))))) x) (/ -1 t) (log (+ 1 (/ (* (- (exp (* z 3)) 1) y) (+ (* (exp z) (exp z)) (+ (exp z) 1))))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* z y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (* (* y (/ (* (* z z) y) t)) -1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ t (log (+ (- 1 y) (* y (exp z))))) (log (+ (- 1 y) (* y (exp z)))) (/ (* (- (exp (* z 3)) 1) y) (+ (* (exp z) (exp z)) (+ (exp z) 1))) (- (exp (* z 3)) 1) (* (* z z) y) (/ (* (* z z) y) t) (+ (* (+ (* 1/2 (* z y)) y) z) 1) (+ (- 1 y) (* y (exp z))))
36.0ms	t	@	inf	((+ (* (exp z) (exp z)) (+ (exp z) 1)) (+ (* (/ -1 t) (log (+ 1 (/ (* (- (exp (* z 3)) 1) y) (+ (* (exp z) (exp z)) (+ (exp z) 1)))))) x) (/ -1 t) (log (+ 1 (/ (* (- (exp (* z 3)) 1) y) (+ (* (exp z) (exp z)) (+ (exp z) 1))))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* z y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (* (* y (/ (* (* z z) y) t)) -1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ t (log (+ (- 1 y) (* y (exp z))))) (log (+ (- 1 y) (* y (exp z)))) (/ (* (- (exp (* z 3)) 1) y) (+ (* (exp z) (exp z)) (+ (exp z) 1))) (- (exp (* z 3)) 1) (* (* z z) y) (/ (* (* z z) y) t) (+ (* (+ (* 1/2 (* z y)) y) z) 1) (+ (- 1 y) (* y (exp z))))
17.0ms	t	@	-inf	((+ (* (exp z) (exp z)) (+ (exp z) 1)) (+ (* (/ -1 t) (log (+ 1 (/ (* (- (exp (* z 3)) 1) y) (+ (* (exp z) (exp z)) (+ (exp z) 1)))))) x) (/ -1 t) (log (+ 1 (/ (* (- (exp (* z 3)) 1) y) (+ (* (exp z) (exp z)) (+ (exp z) 1))))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* z y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (* (* y (/ (* (* z z) y) t)) -1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ t (log (+ (- 1 y) (* y (exp z))))) (log (+ (- 1 y) (* y (exp z)))) (/ (* (- (exp (* z 3)) 1) y) (+ (* (exp z) (exp z)) (+ (exp z) 1))) (- (exp (* z 3)) 1) (* (* z z) y) (/ (* (* z z) y) t) (+ (* (+ (* 1/2 (* z y)) y) z) 1) (+ (- 1 y) (* y (exp z))))
17.0ms	t	@	0	((+ (* (exp z) (exp z)) (+ (exp z) 1)) (+ (* (/ -1 t) (log (+ 1 (/ (* (- (exp (* z 3)) 1) y) (+ (* (exp z) (exp z)) (+ (exp z) 1)))))) x) (/ -1 t) (log (+ 1 (/ (* (- (exp (* z 3)) 1) y) (+ (* (exp z) (exp z)) (+ (exp z) 1))))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* z y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (* (* y (/ (* (* z z) y) t)) -1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ t (log (+ (- 1 y) (* y (exp z))))) (log (+ (- 1 y) (* y (exp z)))) (/ (* (- (exp (* z 3)) 1) y) (+ (* (exp z) (exp z)) (+ (exp z) 1))) (- (exp (* z 3)) 1) (* (* z z) y) (/ (* (* z z) y) t) (+ (* (+ (* 1/2 (* z y)) y) z) 1) (+ (- 1 y) (* y (exp z))))

simplify518.0ms (2.7%)

Memory

-27.4MiB live, 333.3MiB allocated

Algorithm

1×	egg-herbie

Rules

9 272×	`lower-fma.f64`
9 272×	`lower-fma.f32`
7 142×	`lower-*.f64`
7 142×	`lower-*.f32`
4 862×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	878	14527
1	2736	13936
0	8484	11621

Stop Event

1×	iter limit
1×	node limit

Counts

804 → 774

Calls

Call 1

Inputs
(* -1 (/ (log (+ 1 (/ (* y (- (exp (* 3 z)) 1)) (+ 1 (+ (exp z) (pow (exp z) 2)))))) t))
(/ (+ (* -1 (log (+ 1 (/ (* y (- (exp (* 3 z)) 1)) (+ 1 (+ (exp z) (pow (exp z) 2))))))) (* t x)) t)
(/ (+ (* -1 (log (+ 1 (/ (* y (- (exp (* 3 z)) 1)) (+ 1 (+ (exp z) (pow (exp z) 2))))))) (* t x)) t)
(/ (+ (* -1 (log (+ 1 (/ (* y (- (exp (* 3 z)) 1)) (+ 1 (+ (exp z) (pow (exp z) 2))))))) (* t x)) t)
(/ -1 t)
(/ -1 t)
(/ -1 t)
(/ -1 t)
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (* z (+ y (* 1/2 (* z (- y (pow y 2)))))) t)
(/ (* z (+ y (* 1/2 (* z (- y (pow y 2)))))) t)
(/ (* z (+ y (* 1/2 (* z (- y (pow y 2)))))) t)
(/ (* z (+ y (* 1/2 (* z (- y (pow y 2)))))) t)
(* -1/2 (/ (* (pow y 2) (pow z 2)) t))
(* -1/2 (/ (* (pow y 2) (pow z 2)) t))
(* -1/2 (/ (* (pow y 2) (pow z 2)) t))
(* -1/2 (/ (* (pow y 2) (pow z 2)) t))
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(* -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)
(/ 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)))
(/ (* y (pow z 2)) t)
(/ (* y (pow z 2)) t)
(/ (* y (pow z 2)) t)
(/ (* y (pow z 2)) t)
x
(+ x (* -1 (/ (log (+ 1 (/ (* y (- (exp (* 3 z)) 1)) (+ 1 (+ (exp z) (pow (exp z) 2)))))) t)))
(+ x (* -1 (/ (log (+ 1 (/ (* y (- (exp (* 3 z)) 1)) (+ 1 (+ (exp z) (pow (exp z) 2)))))) t)))
(+ x (* -1 (/ (log (+ 1 (/ (* y (- (exp (* 3 z)) 1)) (+ 1 (+ (exp z) (pow (exp z) 2)))))) t)))
(/ -1 t)
(/ -1 t)
(/ -1 t)
(/ -1 t)
x
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
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)
(/ (* z (+ y (* 1/2 (* z (- y (pow y 2)))))) t)
(/ (* z (+ y (* 1/2 (* z (- y (pow y 2)))))) t)
(/ (* z (+ y (* 1/2 (* z (- y (pow y 2)))))) t)
(/ (* z (+ y (* 1/2 (* z (- y (pow y 2)))))) t)
(* -1/2 (/ (* (pow y 2) (pow z 2)) t))
(* -1/2 (/ (* (pow y 2) (pow z 2)) t))
(* -1/2 (/ (* (pow y 2) (pow z 2)) t))
(* -1/2 (/ (* (pow y 2) (pow z 2)) t))
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)
(/ (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)))
(/ 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)))
(/ (* y (pow z 2)) t)
(/ (* y (pow z 2)) t)
(/ (* y (pow z 2)) t)
(/ (* y (pow z 2)) t)
x
(+ x (* -1 (/ (log (+ 1 (/ (* y (- (exp (* 3 z)) 1)) (+ 1 (+ (exp z) (pow (exp z) 2)))))) t)))
(+ x (* -1 (/ (log (+ 1 (/ (* y (- (exp (* 3 z)) 1)) (+ 1 (+ (exp z) (pow (exp z) 2)))))) t)))
(+ x (* -1 (/ (log (+ 1 (/ (* y (- (exp (* 3 z)) 1)) (+ 1 (+ (exp z) (pow (exp z) 2)))))) t)))
(/ -1 t)
(/ -1 t)
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x
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
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(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
x
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(/ (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 (/ (* z (+ (* -1 y) (* -1/2 (* z (- y (pow y 2)))))) t))
(* -1 (/ (* z (+ (* -1 y) (* -1/2 (* z (- y (pow y 2)))))) t))
(* -1 (/ (* z (+ (* -1 y) (* -1/2 (* z (- y (pow y 2)))))) t))
(* -1 (/ (* z (+ (* -1 y) (* -1/2 (* z (- y (pow y 2)))))) t))
(* -1/2 (/ (* (pow y 2) (pow z 2)) t))
(* -1/2 (/ (* (pow y 2) (pow z 2)) t))
(* -1/2 (/ (* (pow y 2) (pow z 2)) t))
(* -1/2 (/ (* (pow y 2) (pow z 2)) t))
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)
(/ (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)))
(/ t (log (- (+ 1 (* y (exp z))) y)))
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(/ t (log (- (+ 1 (* y (exp z))) y)))
(/ t (log (- (+ 1 (* y (exp z))) y)))
(/ (* y (pow z 2)) t)
(/ (* y (pow z 2)) t)
(/ (* y (pow z 2)) t)
(/ (* y (pow z 2)) t)
3
(+ 3 (* 3 z))
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x
(+ x (* -1 (/ (* y z) t)))
(+ x (* z (+ (* -1 (/ y t)) (* -1/2 (/ (* z (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y)))) t)))))
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(* y z)
(* z (+ y (* 1/2 (* z (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y)))))))
(* z (+ y (* z (+ (* 1/6 (* z (+ (* -6 (* y (- (* 3/2 y) y))) (+ (* 2 (pow y 3)) (* 6 (- y (* 5/6 y))))))) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y))))))))
(* z (+ y (* z (+ (* 1/2 (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y)))) (* z (+ (* 1/24 (* z (+ (* -24 (* y (- y (* 5/6 y)))) (+ (* -12 (pow (- (* 3/2 y) y) 2)) (+ (* -6 (pow y 4)) (+ (* 24 (* (pow y 2) (- (* 3/2 y) y))) (* 24 (- (+ (* 5/6 y) (* 9/8 y)) (+ y (+ (* 1/2 y) (* 5/6 (- (* 3/2 y) y)))))))))))) (* 1/6 (+ (* -6 (* y (- (* 3/2 y) y))) (+ (* 2 (pow y 3)) (* 6 (- y (* 5/6 y))))))))))))
x
(+ x (* -1 (/ (* y z) t)))
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(+ x (* z (- (* z (- (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t))))
(/ (* y z) t)
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t)))
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)))))) (/ y t)))
(* y z)
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2)))))))
(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2))))))))
(* z (+ y (* z (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* z (+ (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))
(* y z)
(* y z)
(* y z)
(* y z)
x
(+ x (* -1 (/ (* y z) t)))
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))))
(+ x (* z (- (* z (- (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t))))
(/ (* 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 (/ (* z (- y (pow y 2))) t)) (/ y t)))
(* z (+ (* 1/2 (/ (* z (- y (pow y 2))) t)) (/ y t)))
(* z (+ (* 1/2 (/ (* z (- y (pow y 2))) t)) (/ y t)))
(* -1/2 (/ (* (pow y 2) (pow z 2)) t))
(* -1/2 (/ (* (pow y 2) (pow z 2)) t))
(* -1/2 (/ (* (pow y 2) (pow z 2)) t))
(* -1/2 (/ (* (pow y 2) (pow z 2)) t))
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)))))))))))
1
(+ 1 (* y z))
(+ 1 (* z (+ y (* 1/2 (* y z)))))
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))))
(/ (* 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)))
(+ 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))))
(/ t (* y z))
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Outputs
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(-.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 z)))) (/.f64 #s(literal 1/3 binary64) (.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 3 binary64)) y) y))) y))
(/ (* y (- (exp (* 3 z)) 1)) (+ 1 (+ (exp z) (pow (exp z) 2))))
(/.f64 (.f64 (expm1.f64 (.f64 z #s(literal 3 binary64))) y) (fma.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) (exp.f64 z) #s(literal 1 binary64)))
(/ (* y (- (exp (* 3 z)) 1)) (+ 1 (+ (exp z) (pow (exp z) 2))))
(/.f64 (.f64 (expm1.f64 (.f64 z #s(literal 3 binary64))) y) (fma.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) (exp.f64 z) #s(literal 1 binary64)))
(/ (* y (- (exp (* 3 z)) 1)) (+ 1 (+ (exp z) (pow (exp z) 2))))
(/.f64 (.f64 (expm1.f64 (.f64 z #s(literal 3 binary64))) y) (fma.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) (exp.f64 z) #s(literal 1 binary64)))
(/ (* y (- (exp (* 3 z)) 1)) (+ 1 (+ (exp z) (pow (exp z) 2))))
(/.f64 (.f64 (expm1.f64 (.f64 z #s(literal 3 binary64))) y) (fma.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) (exp.f64 z) #s(literal 1 binary64)))
(* y (pow z 2))
(.f64 (.f64 z z) y)
(* y (pow z 2))
(.f64 (.f64 z z) y)
(* y (pow z 2))
(.f64 (.f64 z z) y)
(* y (pow z 2))
(.f64 (.f64 z z) y)
(/ (* y (pow z 2)) t)
(/.f64 (.f64 (.f64 z z) y) t)
(/ (* y (pow z 2)) t)
(/.f64 (.f64 (.f64 z z) y) t)
(/ (* y (pow z 2)) t)
(/.f64 (.f64 (.f64 z z) y) t)
(/ (* y (pow z 2)) t)
(/.f64 (.f64 (.f64 z z) y) t)
(* -1 (* y (* z (- (* -1/2 z) 1))))
(.f64 (.f64 (neg.f64 z) y) (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)))
(* -1 (* y (- (* z (- (* -1/2 z) 1)) (/ 1 y))))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) z (/.f64 #s(literal -1 binary64) y)) (neg.f64 y))
(* -1 (* y (- (* z (- (* -1/2 z) 1)) (/ 1 y))))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) z (/.f64 #s(literal -1 binary64) y)) (neg.f64 y))
(* -1 (* y (- (* z (- (* -1/2 z) 1)) (/ 1 y))))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) z (/.f64 #s(literal -1 binary64) y)) (neg.f64 y))
(* -1 (* y (+ 1 (* -1 (exp z)))))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z)) (neg.f64 y))
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y))))
(*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y))
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y))))
(*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y))
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y))))
(*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y))
(* -1 (/ (log (+ 1 (/ (* y (- (exp (* 3 z)) 1)) (+ 1 (+ (exp z) (pow (exp z) 2)))))) t))
(/.f64 (log1p.f64 (/.f64 (.f64 (expm1.f64 (.f64 z #s(literal 3 binary64))) y) (fma.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) (exp.f64 z) #s(literal 1 binary64)))) (neg.f64 t))
(+ x (* -1 (/ (log (+ 1 (/ (* y (- (exp (* 3 z)) 1)) (+ 1 (+ (exp z) (pow (exp z) 2)))))) t)))
(-.f64 x (/.f64 (log1p.f64 (/.f64 (.f64 (expm1.f64 (.f64 z #s(literal 3 binary64))) y) (fma.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) (exp.f64 z) #s(literal 1 binary64)))) t))
(+ x (* -1 (/ (log (+ 1 (/ (* y (- (exp (* 3 z)) 1)) (+ 1 (+ (exp z) (pow (exp z) 2)))))) t)))
(-.f64 x (/.f64 (log1p.f64 (/.f64 (.f64 (expm1.f64 (.f64 z #s(literal 3 binary64))) y) (fma.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) (exp.f64 z) #s(literal 1 binary64)))) t))
(+ x (* -1 (/ (log (+ 1 (/ (* y (- (exp (* 3 z)) 1)) (+ 1 (+ (exp z) (pow (exp z) 2)))))) t)))
(-.f64 x (/.f64 (log1p.f64 (/.f64 (.f64 (expm1.f64 (.f64 z #s(literal 3 binary64))) y) (fma.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) (exp.f64 z) #s(literal 1 binary64)))) 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 (/ (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 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
x
(* x (+ 1 (* -1 (/ (log (+ 1 (/ (* y (- (exp (* 3 z)) 1)) (+ 1 (+ (exp z) (pow (exp z) 2)))))) (* t x)))))
(fma.f64 (/.f64 (log1p.f64 (/.f64 (.f64 (expm1.f64 (.f64 z #s(literal 3 binary64))) y) (fma.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) (exp.f64 z) #s(literal 1 binary64)))) (neg.f64 (*.f64 x t))) x x)
(* x (+ 1 (* -1 (/ (log (+ 1 (/ (* y (- (exp (* 3 z)) 1)) (+ 1 (+ (exp z) (pow (exp z) 2)))))) (* t x)))))
(fma.f64 (/.f64 (log1p.f64 (/.f64 (.f64 (expm1.f64 (.f64 z #s(literal 3 binary64))) y) (fma.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) (exp.f64 z) #s(literal 1 binary64)))) (neg.f64 (*.f64 x t))) x x)
(* x (+ 1 (* -1 (/ (log (+ 1 (/ (* y (- (exp (* 3 z)) 1)) (+ 1 (+ (exp z) (pow (exp z) 2)))))) (* t x)))))
(fma.f64 (/.f64 (log1p.f64 (/.f64 (.f64 (expm1.f64 (.f64 z #s(literal 3 binary64))) y) (fma.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) (exp.f64 z) #s(literal 1 binary64)))) (neg.f64 (*.f64 x t))) x x)
x
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(fma.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) (neg.f64 x) x)
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(fma.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) (neg.f64 x) x)
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(fma.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) (neg.f64 x) x)
x
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(fma.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) (neg.f64 x) x)
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(fma.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) (neg.f64 x) x)
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(fma.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) (neg.f64 x) x)
x
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(fma.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) (neg.f64 x) x)
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(fma.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) (neg.f64 x) x)
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(fma.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) (neg.f64 x) x)
x
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(fma.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) (neg.f64 x) x)
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(fma.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) (neg.f64 x) x)
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(fma.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (.f64 x t)) (neg.f64 x) x)
x
(* -1 (* x (- (/ (log (+ 1 (/ (* y (- (exp (* 3 z)) 1)) (+ 1 (+ (exp z) (pow (exp z) 2)))))) (* t x)) 1)))
(.f64 (neg.f64 x) (-.f64 (/.f64 (log1p.f64 (/.f64 (.f64 (expm1.f64 (.f64 z #s(literal 3 binary64))) y) (fma.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) (exp.f64 z) #s(literal 1 binary64)))) (.f64 x t)) #s(literal 1 binary64)))
(* -1 (* x (- (/ (log (+ 1 (/ (* y (- (exp (* 3 z)) 1)) (+ 1 (+ (exp z) (pow (exp z) 2)))))) (* t x)) 1)))
(.f64 (neg.f64 x) (-.f64 (/.f64 (log1p.f64 (/.f64 (.f64 (expm1.f64 (.f64 z #s(literal 3 binary64))) y) (fma.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) (exp.f64 z) #s(literal 1 binary64)))) (.f64 x t)) #s(literal 1 binary64)))
(* -1 (* x (- (/ (log (+ 1 (/ (* y (- (exp (* 3 z)) 1)) (+ 1 (+ (exp z) (pow (exp z) 2)))))) (* t x)) 1)))
(.f64 (neg.f64 x) (-.f64 (/.f64 (log1p.f64 (/.f64 (.f64 (expm1.f64 (.f64 z #s(literal 3 binary64))) y) (fma.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) (exp.f64 z) #s(literal 1 binary64)))) (.f64 x 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)))
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)))

rewrite308.0ms (1.6%)

Memory

0.7MiB live, 386.3MiB allocated

Rules

6 192×	`lower-*.f32`
6 178×	`lower-*.f64`
4 448×	`lower-fma.f32`
4 442×	`lower-fma.f64`
3 772×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	446
0	93	446
1	386	404
2	3155	404
0	9495	370

Stop Event

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

Counts

26 → 349

Calls

Call 1

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

Outputs
(.f64 (-.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 2 binary64))) (pow.f64 (-.f64 (expm1.f64 (.f64 #s(literal 2 binary64) z)) (exp.f64 z)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (exp.f64 z) #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (pow.f64 (exp.f64 z) #s(literal 2 binary64))) (pow.f64 (exp.f64 z) #s(literal 4 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) z)) (exp.f64 z)) (-.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (pow.f64 (exp.f64 z) #s(literal 2 binary64))) (pow.f64 (exp.f64 z) #s(literal 4 binary64))) (+.f64 (pow.f64 (exp.f64 z) #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (exp.f64 z)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (exp.f64 z)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 2 binary64)) (pow.f64 (exp.f64 z) #s(literal 4 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (pow.f64 (exp.f64 z) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (exp.f64 z)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (exp.f64 z)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (exp.f64 z)) #s(literal 1 binary64)))))
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(/.f64 (/.f64 (neg.f64 t) (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))) #s(literal -1 binary64))
(/.f64 (neg.f64 t) (.f64 #s(literal 1 binary64) (neg.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (fma.f64 y z #s(literal 1 binary64)))))))
(/.f64 (neg.f64 t) (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))))
(/.f64 (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 t (.f64 #s(literal 1 binary64) (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (fma.f64 y z #s(literal 1 binary64))))))
(/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t))
(neg.f64 (/.f64 (neg.f64 t) (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t)) #s(literal -1 binary64)))
(exp.f64 (log.f64 (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))))))
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 y (expm1.f64 (.f64 #s(literal 3 binary64) z))) (-.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (.f64 #s(literal 2 binary64) z)) (exp.f64 z)))
(.f64 (/.f64 (.f64 y (expm1.f64 (*.f64 #s(literal 3 binary64) z))) (+.f64 (pow.f64 (exp.f64 z) #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (pow.f64 (exp.f64 z) #s(literal 2 binary64))) (pow.f64 (exp.f64 z) #s(literal 4 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 3 binary64) z))) (/.f64 y (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (exp.f64 z) #s(literal 1 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 (.f64 #s(literal 3 binary64) z)))) (pow.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (exp.f64 z) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 y (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (exp.f64 z) #s(literal 1 binary64))) (expm1.f64 (.f64 #s(literal 3 binary64) z)))
(.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (exp.f64 z) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 y (expm1.f64 (*.f64 #s(literal 3 binary64) z))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (exp.f64 z) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 y (expm1.f64 (*.f64 #s(literal 3 binary64) z))))
(.f64 (.f64 (neg.f64 y) (expm1.f64 (*.f64 #s(literal 3 binary64) z))) (pow.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (exp.f64 z) #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 y (expm1.f64 z)) #s(literal 1 binary64))
(.f64 (.f64 y (expm1.f64 (*.f64 #s(literal 3 binary64) z))) (pow.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (exp.f64 z) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 y (.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) z)) (pow.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (exp.f64 z) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 y (expm1.f64 z))
(.f64 (expm1.f64 (.f64 #s(literal 3 binary64) z)) (/.f64 y (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (exp.f64 z) #s(literal 1 binary64))))
(.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 z)))
(pow.f64 (/.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 (expm1.f64 (.f64 z #s(literal 6 binary64))) (/.f64 y (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (exp.f64 z) #s(literal 1 binary64)))) (+.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (expm1.f64 (.f64 z #s(literal 9 binary64))) (/.f64 y (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (exp.f64 z) #s(literal 1 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 z) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 z) #s(literal 3 binary64))))
(/.f64 (neg.f64 (.f64 (neg.f64 y) (expm1.f64 (.f64 #s(literal 3 binary64) z)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (exp.f64 z) #s(literal 1 binary64)))))
(/.f64 (.f64 (.f64 y (expm1.f64 (*.f64 #s(literal 3 binary64) z))) #s(literal 1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (exp.f64 z) #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) (expm1.f64 (*.f64 #s(literal 3 binary64) z)))) (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (exp.f64 z) #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 (*.f64 #s(literal 3 binary64) z)))) (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (exp.f64 z) #s(literal 1 binary64)))
(/.f64 (.f64 (expm1.f64 (.f64 z #s(literal 6 binary64))) y) (*.f64 (+.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (exp.f64 z) #s(literal 1 binary64))))
(/.f64 (.f64 (expm1.f64 (.f64 z #s(literal 9 binary64))) y) (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 z) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 z) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (exp.f64 z) #s(literal 1 binary64))))
(/.f64 (.f64 (neg.f64 y) (expm1.f64 (.f64 #s(literal 3 binary64) z))) (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (exp.f64 z) #s(literal 1 binary64))))
(/.f64 (.f64 y (expm1.f64 (.f64 #s(literal 3 binary64) z))) (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (exp.f64 z) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal -1 binary64)))
(neg.f64 (/.f64 (.f64 (neg.f64 y) (expm1.f64 (.f64 #s(literal 3 binary64) z))) (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (exp.f64 z) #s(literal 1 binary64))))
(neg.f64 (/.f64 (.f64 y (expm1.f64 (.f64 #s(literal 3 binary64) z))) (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (exp.f64 z) #s(literal 1 binary64)))))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 y (expm1.f64 z)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (expm1.f64 (.f64 z #s(literal 6 binary64))) (pow.f64 (+.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (expm1.f64 (.f64 z #s(literal 9 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 z) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 z) #s(literal 3 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal 1 binary64)) (expm1.f64 (*.f64 z #s(literal 6 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 z) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 z) #s(literal 3 binary64))) (expm1.f64 (*.f64 z #s(literal 9 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (expm1.f64 (*.f64 z #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 z #s(literal 9 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 z) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 z) #s(literal 3 binary64)))))
(/.f64 (expm1.f64 (*.f64 z #s(literal 6 binary64))) (-.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (*.f64 z #s(literal 6 binary64))) (+.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (.f64 z #s(literal 9 binary64))) (+.f64 (pow.f64 (exp.f64 z) #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (*.f64 z #s(literal 9 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 z) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 z) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal 1 binary64)) (expm1.f64 (*.f64 z #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 z) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 z) #s(literal 3 binary64))) (expm1.f64 (*.f64 z #s(literal 9 binary64)))))
(fma.f64 (pow.f64 (exp.f64 z) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 z) #s(literal 3/2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) (exp.f64 z) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal -1 binary64))
(fma.f64 (exp.f64 z) (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal -1 binary64))
(expm1.f64 (.f64 (.f64 #s(literal 2 binary64) z) #s(literal 3/2 binary64)))
(expm1.f64 (*.f64 (log.f64 (exp.f64 #s(literal 3 binary64))) z))
(expm1.f64 (*.f64 #s(literal 3 binary64) z))
(-.f64 (/.f64 (pow.f64 (exp.f64 z) #s(literal 6 binary64)) (+.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (exp.f64 z) #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 z) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 z) #s(literal 3 binary64)))) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 z) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 z) #s(literal 3 binary64))) #s(literal -1 binary64)))
(-.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal 1 binary64))
(+.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 z) #s(literal 3 binary64)))
(.f64 (.f64 y z) z)
(.f64 (.f64 z z) y)
(.f64 y (.f64 z z))
(.f64 z (.f64 y z))
(.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 (*.f64 z z) y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 t #s(literal -1 binary64)) (.f64 (*.f64 z z) y))
(.f64 (.f64 (neg.f64 z) (*.f64 y z)) (/.f64 #s(literal -1 binary64) t))
(.f64 (.f64 (*.f64 z z) y) (pow.f64 t #s(literal -1 binary64)))
(.f64 (.f64 z z) (/.f64 y t))
(.f64 (/.f64 y t) (.f64 z z))
(.f64 y (/.f64 (.f64 z z) t))
(.f64 y (.f64 (*.f64 z z) (pow.f64 t #s(literal -1 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 z z) y) t))
(.f64 z (/.f64 (.f64 y z) t))
(.f64 z (.f64 (*.f64 y z) (pow.f64 t #s(literal -1 binary64))))
(.f64 z (.f64 z (/.f64 y t)))
(pow.f64 (/.f64 (/.f64 t (.f64 (.f64 z z) y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 t (.f64 (.f64 z z) y)) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 (*.f64 z z) y) #s(literal 1 binary64)) t)
(/.f64 (.f64 (.f64 z z) #s(literal 1 binary64)) (/.f64 t y))
(/.f64 (neg.f64 (.f64 (neg.f64 z) (.f64 y z))) (neg.f64 (neg.f64 t)))
(/.f64 (.f64 (neg.f64 z) (.f64 y z)) (neg.f64 t))
(/.f64 (.f64 (.f64 z z) y) t)
(/.f64 (*.f64 z z) (/.f64 t y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 t (.f64 (.f64 z z) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t (.f64 (.f64 z z) y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 t (.f64 (.f64 z z) y)))
(neg.f64 (/.f64 (.f64 (neg.f64 z) (.f64 y z)) t))
(neg.f64 (/.f64 (.f64 (.f64 z z) y) (neg.f64 t)))
(exp.f64 (.f64 (log.f64 (/.f64 t (.f64 (*.f64 z z) y))) #s(literal -1 binary64)))
#s(approx (+ (* (+ (* 1/2 (* z y)) y) z) 1) #s(literal 1 binary64))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))

eval206.0ms (1.1%)

Memory: 8.5MiB live, 311.8MiB allocated
Compiler: Compiled 22 908 to 2 419 computations (89.4% saved)

prune70.0ms (0.4%)

Memory

-21.1MiB live, 171.9MiB allocated

Pruning

38 alts after pruning (29 fresh and 9 done)

	Pruned	Kept	Total
New	1 112	11	1 123
Fresh	6	18	24
Picked	3	2	5
Done	0	7	7
Total	1 121	38	1 159

Accuracy

99.3%

Counts

1 159 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	90.2%	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (/.f64 (.f64 (expm1.f64 (.f64 z #s(literal 3 binary64))) y) #s(approx (+ (* (exp z) (exp z)) (+ (exp z) 1)) #s(literal 3 binary64)))) x)
✓	98.2%	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x)
	71.2%	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (.f64 #s(approx (- (exp z) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) x)
	72.6%	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (.f64 #s(approx (- (exp z) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) x)
	81.5%	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (/ (* (- (exp (* z 3)) 1) y) (+ (* (exp z) (exp z)) (+ (exp z) 1))) (*.f64 z y))) x)
✓	74.1%	(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (.f64 (fma.f64 (.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z))) x)
	71.0%	(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ 1 (/ (* (- (exp (* z 3)) 1) y) (+ (* (exp z) (exp z)) (+ (exp z) 1))))) (*.f64 z y)) x)
	51.0%	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) #s(approx (* y (exp z)) (fma.f64 z y y)))) t))
	65.5%	(-.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))
✓	73.0%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
	39.2%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))
	25.0%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* 1/2 (* z y)) y) z) 1) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) z y) z)))) t))
	10.3%	(-.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))
✓	80.9%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
✓	71.0%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
✓	73.0%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))))))
	80.9%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)))))
	71.0%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))))
	73.0%	(-.f64 x (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) #s(literal -1 binary64)) t)))
	81.9%	(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (.f64 (.f64 (fma.f64 (neg.f64 y) y y) z) t) y) (/.f64 t y)) z))))
	88.2%	(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y))))
	69.4%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y))))
	71.5%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y (/.f64 t z))))
	67.6%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (fma.f64 (.f64 #s(approx (/ (- y (* y y)) t) (/.f64 y t)) #s(literal 1/2 binary64)) z (/.f64 y t)) z)))
	49.2%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 t)) (.f64 (neg.f64 t) y)) (.f64 t t)) z)))
	81.8%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
✓	69.4%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
	69.4%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z)))
	64.0%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (+ ( (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (fma.f64 (/.f64 z t) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) t)) y)) z)))
✓	57.8%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (+ ( (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (.f64 (.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))) z)))
	57.4%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (+ ( (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (.f64 (.f64 y (/.f64 y (/.f64 t z))) #s(literal -1/2 binary64))) z)))
✓	71.5%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t))))
	60.1%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (.f64 (.f64 (fma.f64 (/.f64 (.f64 z z) t) #s(literal -1/2 binary64) (/.f64 (.f64 (fma.f64 (/.f64 z t) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) t)) z) y)) y) y))))
	60.1%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (.f64 (.f64 (fma.f64 (.f64 z (/.f64 z t)) #s(literal -1/2 binary64) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 z t)) y)) y) y))))
	68.9%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 z t)) y))))
	54.0%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (.f64 (.f64 y (.f64 (/.f64 y t) (.f64 z z))) #s(literal -1/2 binary64)))))
	55.5%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (.f64 (.f64 y (.f64 y (/.f64 (.f64 z z) t))) #s(literal -1/2 binary64)))))
	26.2%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))

Compiler

Compiled 1 413 to 799 computations (43.5% saved)

regimes170.0ms (0.9%)

Memory

-5.2MiB live, 274.7MiB allocated

Counts

58 → 1

Calls

Call 1

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

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

Calls

9 calls:

31.0ms	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
26.0ms	z
19.0ms	y
16.0ms	t
16.0ms	x

Results

Accuracy	Segments	Branch
98.2%	1	`x`
98.2%	1	`y`
98.2%	1	`z`
98.2%	1	`t`
98.2%	1	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
98.2%	1	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
98.2%	1	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
98.2%	1	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
98.2%	1	`(exp.f64 z)`

Compiler

Compiled 47 to 63 computations (-34% saved)

regimes148.0ms (0.8%)

Memory

25.9MiB live, 192.5MiB allocated

Counts

49 → 3

Calls

Call 1

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

(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 (/.f64 (expm1.f64 z) t) y)))

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

Calls

9 calls:

35.0ms	y
21.0ms	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
14.0ms	z
14.0ms	t
14.0ms	x

Results

Accuracy	Segments	Branch
88.2%	1	`x`
92.1%	2	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
94.4%	3	`y`
94.0%	2	`z`
88.2%	1	`t`
97.6%	5	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
98.4%	3	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
98.4%	3	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
94.0%	2	`(exp.f64 z)`

Compiler

Compiled 47 to 63 computations (-34% saved)

regimes42.0ms (0.2%)

Memory

-1.4MiB live, 73.3MiB allocated

Counts

48 → 2

Calls

Call 1

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

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

Calls

3 calls:

15.0ms	z
14.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
11.0ms	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))

Results

Accuracy	Segments	Branch
94.0%	2	`z`
93.4%	2	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
93.4%	2	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`

Compiler

Compiled 18 to 23 computations (-27.8% saved)

regimes168.0ms (0.9%)

Memory

-6.2MiB live, 154.8MiB allocated

Counts

45 → 3

Calls

Call 1

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

Outputs

(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 (/.f64 (expm1.f64 z) t) y)))

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

Calls

7 calls:

85.0ms	(exp.f64 z)
17.0ms	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
15.0ms	z
15.0ms	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
12.0ms	y

Results

Accuracy	Segments	Branch
91.0%	4	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
90.7%	3	`y`
91.1%	3	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
93.3%	3	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
93.3%	3	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
89.5%	2	`(exp.f64 z)`
89.6%	2	`z`

Compiler

Compiled 45 to 55 computations (-22.2% saved)

regimes157.0ms (0.8%)

Memory

-2.9MiB live, 152.6MiB allocated

Counts

30 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

9 calls:

86.0ms	x
10.0ms	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
10.0ms	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
9.0ms	t
9.0ms	y

Results

Accuracy	Segments	Branch
83.7%	2	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
89.2%	3	`y`
85.5%	2	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
81.9%	1	`(exp.f64 z)`
84.0%	2	`z`
84.9%	2	`x`
87.2%	3	`t`
88.3%	3	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
88.3%	3	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`

Compiler

Compiled 47 to 63 computations (-34% saved)

regimes27.0ms (0.1%)

Memory

15.1MiB live, 51.7MiB allocated

Counts

29 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
85.9%	2	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
85.9%	2	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
86.2%	2	`y`

Compiler

Compiled 18 to 23 computations (-27.8% saved)

regimes109.0ms (0.6%)

Memory

12.3MiB live, 125.1MiB allocated

Counts

27 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

30.0ms	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
29.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
11.0ms	z
8.0ms	t
8.0ms	x

Results

Accuracy	Segments	Branch
81.9%	1	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
81.9%	1	`z`
81.9%	1	`x`
81.9%	1	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
81.9%	1	`t`
81.9%	1	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
81.9%	1	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
81.9%	1	`y`

Compiler

Compiled 45 to 58 computations (-28.9% saved)

regimes84.0ms (0.4%)

Memory

-17.0MiB live, 139.8MiB allocated

Accuracy

Total -22.7b remaining (-124.6%)

Threshold costs -22.7b (-124.6%)

Counts

24 → 1

Calls

Call 1

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

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

Calls

9 calls:

23.0ms	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
9.0ms	x
8.0ms	t
8.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
7.0ms	y

Results

Accuracy	Segments	Branch
71.5%	1	`x`
71.5%	1	`z`
71.5%	1	`t`
71.5%	1	`y`
71.5%	1	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
71.5%	1	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
71.5%	1	`(exp.f64 z)`
71.5%	1	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
71.5%	1	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`

Compiler

Compiled 47 to 63 computations (-34% saved)

bsearch1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000000007911	1.0000000061942853
0.0ms	0.0	0.7836004090452611

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch27.0ms (0.1%)

Memory

25.5MiB live, 62.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
25.0ms	-772326198968577.0	-4099086277886.2773

Samples

11.0ms	37×	1	valid
6.0ms	75×	0	valid
2.0ms	31×	0	invalid

Compiler

Compiled 254 to 236 computations (7.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-log: 6.0ms (40.2% of total)

adjust: 3.0ms (20.1% of total)

ival-sub: 2.0ms (13.4% of total)

ival-add: 1.0ms (6.7% of total)

ival-div: 1.0ms (6.7% of total)

ival-exp: 1.0ms (6.7% of total)

ival-mult: 1.0ms (6.7% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

2.3MiB live, 2.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000000007911	1.0000000061942853
0.0ms	0.0	0.7836004090452611

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch225.0ms (1.2%)

Memory

11.4MiB live, 280.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
169.0ms	2.688800025307838e+199	5.691052972869583e+211
48.0ms	-53430358810.41263	-13965723064.07905

Samples

118.0ms	173×	1	valid
35.0ms	90×	1	invalid
31.0ms	67×	0	valid
18.0ms	115×	0	invalid

Compiler

Compiled 376 to 374 computations (0.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 175.0ms

adjust: 55.0ms (31.4% of total)

ival-exp: 35.0ms (20% of total)

ival-log: 31.0ms (17.7% of total)

ival-mult: 30.0ms (17.1% of total)

ival-add: 11.0ms (6.3% of total)

ival-sub: 7.0ms (4% of total)

ival-div: 5.0ms (2.9% of total)

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

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

exact: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory

-33.2MiB live, 4.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-53430358810.41263	-13965723064.07905

Compiler

Compiled 186 to 164 computations (11.8% saved)

simplify29.0ms (0.1%)

Memory

34.0MiB live, 75.8MiB allocated

Algorithm

1×	egg-herbie

Rules

46×	`-commutative-binary64-.f64`
40×	`+-commutative-binary64-+.f64`
40×	`sub-neg-binary64-neg.f64-+.f64--.f64`
26×	`neg-sub0-binary64--.f64-neg.f64`
26×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	435
1	121	435
2	156	435
3	181	435
4	202	435
5	207	435

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x)
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ ( (exp z) y) (neg y)) (.f64 z y))) x) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 2251799824944247/2251799813685248 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (*.f64 (expm1.f64 z) y))) t))))
(if (<=.f64 z #s(literal -4200000000000 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)))) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ ( (exp z) y) (neg y)) (.f64 (fma.f64 (.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z))) x))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ ( (exp z) y) (neg y)) (.f64 z y))) x) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 2251799824944247/2251799813685248 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) ( y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (.f64 (.f64 (fma.f64 (neg.f64 y) y y) z) t) y) (/.f64 t y)) z))))))
(if (<=.f64 y #s(literal -16500000000 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (.f64 (.f64 (fma.f64 (neg.f64 y) y y) z) t) y) (/.f64 t y)) z)))) (if (<=.f64 y #s(literal 6800000000000000202099209528347591078030364905390066449207953478984102710790775274235284984654547550702672583982315397463390275374355716741651114108491471561740947885280805056022779306401356978499616768000 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))))
(if (<=.f64 y #s(literal -16500000000 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (.f64 (.f64 (fma.f64 (neg.f64 y) y y) z) t) y) (/.f64 t y)) z)))) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (.f64 (.f64 (fma.f64 (neg.f64 y) y y) z) t) y) (/.f64 t y)) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t))))

Outputs
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x)
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (expm1.f64 z))) x)
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ ( (exp z) y) (neg y)) (.f64 z y))) x) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 2251799824944247/2251799813685248 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (*.f64 (expm1.f64 z) y))) t))))
(if (<=.f64 (+.f64 (.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ ( (exp z) y) (neg y)) (.f64 y z))) x) (if (<=.f64 (+.f64 (.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2251799824944247/2251799813685248 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (*.f64 y (expm1.f64 z)))) t))))
(if (<=.f64 z #s(literal -4200000000000 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)))) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ ( (exp z) y) (neg y)) (.f64 (fma.f64 (.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z))) x))
(if (<=.f64 z #s(literal -4200000000000 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (.f64 y t) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)))) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ ( (exp z) y) (neg y)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z))) x))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ ( (exp z) y) (neg y)) (.f64 z y))) x) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 2251799824944247/2251799813685248 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) ( y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (.f64 (.f64 (fma.f64 (neg.f64 y) y y) z) t) y) (/.f64 t y)) z))))))
(if (<=.f64 (+.f64 (.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ ( (exp z) y) (neg y)) (.f64 y z))) x) (if (<=.f64 (+.f64 (.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2251799824944247/2251799813685248 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) ( y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (.f64 (.f64 (fma.f64 (neg.f64 y) y y) z) t) y) (/.f64 t y)) z))))))
(if (<=.f64 y #s(literal -16500000000 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (.f64 (.f64 (fma.f64 (neg.f64 y) y y) z) t) y) (/.f64 t y)) z)))) (if (<=.f64 y #s(literal 6800000000000000202099209528347591078030364905390066449207953478984102710790775274235284984654547550702672583982315397463390275374355716741651114108491471561740947885280805056022779306401356978499616768000 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))))
(if (<=.f64 y #s(literal -16500000000 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (.f64 (.f64 (fma.f64 (neg.f64 y) y y) z) t) y) (/.f64 t y)) z)))) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (.f64 (.f64 (fma.f64 (neg.f64 y) y y) z) t) y) (/.f64 t y)) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y)))

soundness1.4s (7.3%)

Memory

-28.7MiB live, 823.2MiB allocated

Rules

15 880×	`lower-fma.f64`
15 880×	`lower-fma.f32`
14 466×	`lower-fma.f64`
14 466×	`lower-fma.f32`
9 272×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	334
0	84	331
1	373	301
2	2858	301
0	8587	293
0	878	14527
1	2736	13936
0	8484	11621
0	335	2420
1	1012	2316
2	3176	2227
0	8212	1752
0	516	11487
1	1643	11056
2	4880	10665
0	8312	8597
0	12	45
0	19	45
1	73	45
2	593	45
3	7204	45
0	8984	38
0	43	320
0	75	322
1	317	278
2	2551	278
0	8360	274

Stop Event

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

Compiler

Compiled 632 to 382 computations (39.6% saved)

preprocess304.0ms (1.6%)

Memory: 3.4MiB live, 202.1MiB allocated
Compiler: Compiled 684 to 240 computations (64.9% 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%)

analyze360.0ms (1.9%)

sample8.4s (43.7%)

explain425.0ms (2.2%)

preprocess277.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify31.0ms (0.2%)

localize245.0ms (1.3%)

series140.0ms (0.7%)

simplify248.0ms (1.3%)

rewrite221.0ms (1.1%)

eval150.0ms (0.8%)

prune25.0ms (0.1%)

simplify166.0ms (0.9%)

localize587.0ms (3%)

series524.0ms (2.7%)

simplify238.0ms (1.2%)

rewrite231.0ms (1.2%)

eval256.0ms (1.3%)

prune110.0ms (0.6%)

simplify128.0ms (0.7%)

localize331.0ms (1.7%)

series268.0ms (1.4%)

simplify371.0ms (1.9%)

rewrite271.0ms (1.4%)

eval237.0ms (1.2%)

prune117.0ms (0.6%)

simplify245.0ms (1.3%)

localize362.0ms (1.9%)

series289.0ms (1.5%)

simplify518.0ms (2.7%)

rewrite308.0ms (1.6%)

eval206.0ms (1.1%)

prune70.0ms (0.4%)

regimes170.0ms (0.9%)

regimes148.0ms (0.8%)

regimes42.0ms (0.2%)

regimes168.0ms (0.9%)

regimes157.0ms (0.8%)

regimes27.0ms (0.1%)

regimes109.0ms (0.6%)

regimes84.0ms (0.4%)

bsearch1.0ms (0%)

bsearch27.0ms (0.1%)

bsearch1.0ms (0%)

bsearch225.0ms (1.2%)

bsearch3.0ms (0%)

simplify29.0ms (0.1%)

soundness1.4s (7.3%)

preprocess304.0ms (1.6%)

end0.0ms (0%)

Profiling

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