Metrics for Statistics.Distribution.Poisson.Internal:probability from math-functions-0.1.5.2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
100%	49.9%	0%	0.1%	0%	49.9%	0%	3

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.1s (21.3%)

Memory

6.1MiB live, 1 163.1MiB allocated

Samples

732.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 395.0ms

ival-log: 155.0ms (39.2% of total)

ival-mult: 70.0ms (17.7% of total)

ival-exp: 69.0ms (17.5% of total)

ival-sub: 52.0ms (13.2% of total)

ival-add: 39.0ms (9.9% of total)

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

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain120.0ms (2.3%)

Memory

10.2MiB live, 238.0MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))`
-	-	`(*.f64 y (log.f64 y))`
-	-	`(log.f64 y)`
-	-	`y`
-	-	`(+.f64 x (*.f64 y (log.f64 y)))`
-	-	`(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)`
-	-	`z`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

44.0ms

512×

valid

Compiler

Compiled 77 to 28 computations (63.6% saved)

Precisions

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

ival-log: 10.0ms (44% of total)

ival-exp: 4.0ms (17.6% of total)

ival-mult: 4.0ms (17.6% of total)

ival-sub: 2.0ms (8.8% of total)

ival-add: 2.0ms (8.8% of total)

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

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

preprocess246.0ms (4.6%)

Memory

8.7MiB live, 95.4MiB allocated

Algorithm

1×	egg-herbie

Rules

928×	`div-sub`
850×	`exp-sum`
752×	`sub-neg`
706×	`exp-prod`
634×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	92
1	96	86
2	251	81
3	736	77
4	1619	77
5	2721	77
6	3802	77
7	4525	77
8	5045	77
9	5382	77
10	5504	77
11	5545	77
12	5593	77
13	5746	77
14	6507	77
15	6531	77
16	6531	77
0	8	9
0	13	9
1	22	9
2	41	8
3	82	8
4	130	8
5	204	8
6	373	8
7	664	8
8	871	8
9	1008	8
10	1097	8
11	1156	8
12	1306	8
13	1309	8
14	1310	8
0	1310	8

Stop Event

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

Calls

Call 1

Inputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))

Outputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify153.0ms (2.9%)

Memory

-2.9MiB live, 32.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y (log.f64 y))
cost-diff	0	(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
cost-diff	0	(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
cost-diff	128	(+.f64 x (*.f64 y (log.f64 y)))

Rules

416×	`lower-fma.f64`
416×	`lower-fma.f32`
288×	`lower-*.f32`
286×	`lower-*.f64`
266×	`exp-sum`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
0	13	32
1	22	32
2	41	31
3	82	31
4	130	31
5	204	31
6	373	31
7	664	31
8	871	31
9	1008	31
10	1097	31
11	1156	31
12	1306	31
13	1309	31
14	1310	31
0	1310	29

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
(+.f64 x (*.f64 y (log.f64 y)))
x
(*.f64 y (log.f64 y))
y
(log.f64 y)
z

Outputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
(-.f64 (fma.f64 (log.f64 y) y x) z)
(+.f64 x (*.f64 y (log.f64 y)))
(fma.f64 (log.f64 y) y x)
x
(*.f64 y (log.f64 y))
(*.f64 (log.f64 y) y)
y
(log.f64 y)
z

localize26.0ms (0.5%)

Memory

14.9MiB live, 50.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
accuracy	0.00390625	(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
accuracy	0.0078125	(+.f64 x (*.f64 y (log.f64 y)))
accuracy	0.234375	(*.f64 y (log.f64 y))

Samples

18.0ms

256×

valid

Compiler

Compiled 34 to 10 computations (70.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-log: 3.0ms (28.7% of total)

ival-exp: 3.0ms (28.7% of total)

ival-mult: 2.0ms (19.2% of total)

ival-sub: 1.0ms (9.6% of total)

ival-add: 1.0ms (9.6% of total)

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

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

series114.0ms (2.1%)

Memory

9.3MiB live, 128.0MiB allocated

Counts

4 → 108

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
51.0ms	y	@	0	((+ x (* y (log y))) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* y (log y)))
23.0ms	y	@	-inf	((+ x (* y (log y))) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* y (log y)))
23.0ms	z	@	0	((+ x (* y (log y))) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* y (log y)))
7.0ms	y	@	inf	((+ x (* y (log y))) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* y (log y)))
2.0ms	x	@	0	((+ x (* y (log y))) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* y (log y)))

simplify202.0ms (3.8%)

Memory

-4.9MiB live, 195.0MiB allocated

Algorithm

1×	egg-herbie

Rules

12 444×	`lower-fma.f64`
12 444×	`lower-fma.f32`
5 864×	`lower-*.f64`
5 864×	`lower-*.f32`
1 620×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	128	1007
1	407	910
2	1245	875
3	4149	843
0	8320	785

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 103

Calls

Call 1

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

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

rewrite214.0ms (4%)

Memory

-18.8MiB live, 257.7MiB allocated

Rules

4 714×	`lower-fma.f64`
4 714×	`lower-fma.f32`
4 450×	`lower-*.f32`
4 448×	`lower-*.f64`
2 382×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	27
0	13	27
1	47	27
2	376	26
3	5512	26
0	8367	24

Stop Event

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

Counts

4 → 220

Calls

Call 1

Inputs
(+.f64 x (*.f64 y (log.f64 y)))
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
(*.f64 y (log.f64 y))

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

eval44.0ms (0.8%)

Memory: 30.5MiB live, 67.0MiB allocated
Compiler: Compiled 7 433 to 898 computations (87.9% saved)

prune62.0ms (1.2%)

Memory

-11.3MiB live, 69.9MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	320	3	323
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	321	3	324

Accuracy

100.0%

Counts

324 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.2%	(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
▶	50.2%	(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)))
▶	53.8%	(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify78.0ms (1.5%)

Memory

-15.9MiB live, 20.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 x z)
cost-diff	0	#s(approx (- (+ x (* y (log y))) z) (-.f64 x z))
cost-diff	0	(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
cost-diff	0	(log.f64 y)
cost-diff	0	(*.f64 (log.f64 y) y)
cost-diff	0	#s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))
cost-diff	0	(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)))
cost-diff	0	(neg.f64 z)
cost-diff	0	#s(approx (- (+ x (* y (log y))) z) (neg.f64 z))
cost-diff	0	(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))

Rules

400×	`lower-fma.f64`
400×	`lower-fma.f32`
160×	`lower-*.f32`
158×	`lower-*.f64`
122×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	90
0	24	90
1	34	90
2	45	90
3	65	90
4	97	90
5	150	90
6	253	90
7	420	90
8	566	90
9	619	90
10	645	90
0	645	84

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize235.0ms (4.4%)

Memory

11.3MiB live, 48.0MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x z)
accuracy	0	(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
accuracy	21.183434011251315	#s(approx (- (+ x (* y (log y))) z) (-.f64 x z))
accuracy	0	(log.f64 y)
accuracy	0	(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)))
accuracy	0.234375	(*.f64 (log.f64 y) y)
accuracy	42.68765261491905	#s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))
accuracy	0	(neg.f64 z)
accuracy	0	(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
accuracy	39.698580233866544	#s(approx (- (+ x (* y (log y))) z) (neg.f64 z))

Samples

22.0ms

256×

valid

Compiler

Compiled 68 to 13 computations (80.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-log: 3.0ms (23.2% of total)

ival-mult: 3.0ms (23.2% of total)

ival-sub: 2.0ms (15.5% of total)

ival-exp: 2.0ms (15.5% of total)

ival-add: 1.0ms (7.7% of total)

ival-neg: 1.0ms (7.7% of total)

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

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

series340.0ms (6.4%)

Memory

-0.3MiB live, 85.0MiB allocated

Counts

10 → 276

Calls

Call 1

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

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

9 calls:

Time	Variable		Point	Expression
229.0ms	y	@	inf	((exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (neg z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* (log y) y) (log y) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (- x z))
81.0ms	x	@	inf	((exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (neg z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* (log y) y) (log y) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (- x z))
9.0ms	y	@	0	((exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (neg z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* (log y) y) (log y) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (- x z))
7.0ms	y	@	-inf	((exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (neg z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* (log y) y) (log y) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (- x z))
2.0ms	z	@	0	((exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (neg z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* (log y) y) (log y) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (- x z))

simplify354.0ms (6.7%)

Memory

55.4MiB live, 263.0MiB allocated

Algorithm

1×	egg-herbie

Rules

12 748×	`lower-fma.f64`
12 748×	`lower-fma.f32`
5 652×	`lower-*.f64`
5 652×	`lower-*.f32`
2 274×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	131	2526
1	404	2260
2	1206	2173
3	3933	2146
0	8431	2029

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 267

Calls

Call 1

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

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

rewrite193.0ms (3.6%)

Memory

-4.3MiB live, 273.1MiB allocated

Rules

5 844×	`lower-fma.f64`
5 844×	`lower-fma.f32`
4 428×	`lower-*.f32`
4 426×	`lower-*.f64`
3 206×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	86
0	24	86
1	67	86
2	469	86
3	7021	86
0	8162	80

Stop Event

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

Counts

10 → 109

Calls

Call 1

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

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

eval92.0ms (1.7%)

Memory: -47.4MiB live, 152.9MiB allocated
Compiler: Compiled 4 615 to 564 computations (87.8% saved)

prune21.0ms (0.4%)

Memory

-18.3MiB live, 64.9MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	375	1	376
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	375	4	379

Accuracy

100.0%

Counts

379 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	80.2%	(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
▶	53.7%	(exp.f64 #s(approx (- (+ x (* y (log y))) z) (.f64 (.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z))))
✓	50.2%	(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)))
✓	53.8%	(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))

Compiler

Compiled 25 to 29 computations (-16% saved)

simplify102.0ms (1.9%)

Memory

33.1MiB live, 186.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (neg.f64 z) z)
cost-diff	0	#s(approx (- (+ x (* y (log y))) z) (.f64 (.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)))
cost-diff	0	(exp.f64 #s(approx (- (+ x (* y (log y))) z) (.f64 (.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z))))
cost-diff	1344	(.f64 (.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z))

Rules

3 878×	`lower-*.f32`
3 874×	`lower-*.f64`
3 798×	`lower-neg.f32`
3 796×	`lower-neg.f64`
2 820×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	54
0	19	60
1	37	44
2	75	36
3	156	36
4	342	36
5	1259	36
6	2027	36
7	3153	36
0	8017	34

Stop Event

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

Calls

Call 1

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

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

localize36.0ms (0.7%)

Memory

1.5MiB live, 75.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 z)
accuracy	0	(exp.f64 #s(approx (- (+ x (* y (log y))) z) (.f64 (.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z))))
accuracy	29.88646270865096	(.f64 (.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z))
accuracy	39.698580233866544	#s(approx (- (+ x (* y (log y))) z) (.f64 (.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)))

Samples

29.0ms

256×

valid

Compiler

Compiled 38 to 15 computations (60.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-log: 6.0ms (33.1% of total)

ival-mult: 5.0ms (27.5% of total)

ival-div: 2.0ms (11% of total)

ival-exp: 2.0ms (11% of total)

ival-add: 1.0ms (5.5% of total)

ival-sub: 1.0ms (5.5% of total)

ival-neg: 1.0ms (5.5% of total)

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

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

exact: 0.0ms (0% of total)

series20.0ms (0.4%)

Memory

8.1MiB live, 44.9MiB allocated

Counts

5 → 108

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	z	@	inf	((* (* (neg z) z) (/ 1 z)) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* (neg z) z) (neg z))
2.0ms	z	@	0	((* (* (neg z) z) (/ 1 z)) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* (neg z) z) (neg z))
2.0ms	y	@	-inf	((* (* (neg z) z) (/ 1 z)) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* (neg z) z) (neg z))
2.0ms	z	@	-inf	((* (* (neg z) z) (/ 1 z)) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* (neg z) z) (neg z))
1.0ms	y	@	inf	((* (* (neg z) z) (/ 1 z)) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* (neg z) z) (neg z))

simplify153.0ms (2.9%)

Memory

13.6MiB live, 163.5MiB allocated

Algorithm

1×	egg-herbie

Rules

11 952×	`lower-fma.f64`
11 952×	`lower-fma.f32`
6 014×	`lower-*.f64`
6 014×	`lower-*.f32`
2 968×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	895
1	365	807
2	1088	778
3	3459	752
0	8315	711

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 106

Calls

Call 1

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

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

rewrite185.0ms (3.5%)

Memory

-42.1MiB live, 251.5MiB allocated

Rules

5 404×	`lower-fma.f64`
5 404×	`lower-fma.f32`
4 194×	`lower-*.f32`
4 190×	`lower-*.f64`
3 066×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	49
0	19	47
1	68	31
2	456	31
3	7400	31
0	8688	29

Stop Event

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

Counts

5 → 133

Calls

Call 1

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

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

eval25.0ms (0.5%)

Memory: 20.1MiB live, 58.1MiB allocated
Compiler: Compiled 2 816 to 610 computations (78.3% saved)

prune85.0ms (1.6%)

Memory

-10.7MiB live, 34.5MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	237	2	239
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	238	5	243

Accuracy

100.0%

Counts

243 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	80.2%	(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
▶	53.7%	(exp.f64 #s(approx (- (+ x (* y (log y))) z) (.f64 (/.f64 #s(literal -1 binary64) z) (.f64 z z))))
▶	53.7%	(exp.f64 #s(approx (- (+ x (* y (log y))) z) (.f64 (.f64 (.f64 (/.f64 #s(literal -1 binary64) z) (.f64 z z)) z) (/.f64 #s(literal 1 binary64) z))))
✓	50.2%	(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)))
✓	53.8%	(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))

Compiler

Compiled 39 to 41 computations (-5.1% saved)

simplify95.0ms (1.8%)

Memory

17.8MiB live, 128.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal -1 binary64) z)
cost-diff	0	#s(approx (- (+ x (* y (log y))) z) (.f64 (/.f64 #s(literal -1 binary64) z) (.f64 z z)))
cost-diff	0	(exp.f64 #s(approx (- (+ x (* y (log y))) z) (.f64 (/.f64 #s(literal -1 binary64) z) (.f64 z z))))
cost-diff	1216	(.f64 (/.f64 #s(literal -1 binary64) z) (.f64 z z))
cost-diff	0	#s(approx (- (+ x (* y (log y))) z) (.f64 (.f64 (.f64 (/.f64 #s(literal -1 binary64) z) (.f64 z z)) z) (/.f64 #s(literal 1 binary64) z)))
cost-diff	0	(exp.f64 #s(approx (- (+ x (* y (log y))) z) (.f64 (.f64 (.f64 (/.f64 #s(literal -1 binary64) z) (.f64 z z)) z) (/.f64 #s(literal 1 binary64) z))))
cost-diff	1216	(.f64 (/.f64 #s(literal -1 binary64) z) (.f64 z z))
cost-diff	1344	(.f64 (.f64 (.f64 (/.f64 #s(literal -1 binary64) z) (.f64 z z)) z) (/.f64 #s(literal 1 binary64) z))

Rules

4 964×	`lower-*.f32`
4 956×	`lower-*.f64`
3 386×	`lower-fma.f64`
3 386×	`lower-fma.f32`
1 730×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	134
0	27	158
1	48	122
2	108	76
3	258	76
4	539	76
5	1808	76
6	2523	76
7	5388	76
0	8174	72

Stop Event

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

Calls

Call 1

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

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

localize59.0ms (1.1%)

Memory

-26.7MiB live, 57.4MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z z)
accuracy	0	(exp.f64 #s(approx (- (+ x (* y (log y))) z) (.f64 (/.f64 #s(literal -1 binary64) z) (.f64 z z))))
accuracy	29.88646270865096	(.f64 (/.f64 #s(literal -1 binary64) z) (.f64 z z))
accuracy	39.698580233866544	#s(approx (- (+ x (* y (log y))) z) (.f64 (/.f64 #s(literal -1 binary64) z) (.f64 z z)))
accuracy	0	(exp.f64 #s(approx (- (+ x (* y (log y))) z) (.f64 (.f64 (.f64 (/.f64 #s(literal -1 binary64) z) (.f64 z z)) z) (/.f64 #s(literal 1 binary64) z))))
accuracy	29.88646270865096	(.f64 (/.f64 #s(literal -1 binary64) z) (.f64 z z))
accuracy	29.88646270865096	(.f64 (.f64 (.f64 (/.f64 #s(literal -1 binary64) z) (.f64 z z)) z) (/.f64 #s(literal 1 binary64) z))
accuracy	39.698580233866544	#s(approx (- (+ x (* y (log y))) z) (.f64 (.f64 (.f64 (/.f64 #s(literal -1 binary64) z) (.f64 z z)) z) (/.f64 #s(literal 1 binary64) z)))

Samples

40.0ms

256×

valid

Compiler

Compiled 92 to 18 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 15.0ms (50.7% of total)

ival-div: 7.0ms (23.7% of total)

ival-log: 3.0ms (10.1% of total)

ival-exp: 2.0ms (6.8% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series20.0ms (0.4%)

Memory

28.9MiB live, 28.9MiB allocated

Counts

8 → 192

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	z	@	0	((* (* (* (/ -1 z) (* z z)) z) (/ 1 z)) (* (/ -1 z) (* z z)) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (/ -1 z) (* z z))
2.0ms	z	@	inf	((* (* (* (/ -1 z) (* z z)) z) (/ 1 z)) (* (/ -1 z) (* z z)) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (/ -1 z) (* z z))
2.0ms	y	@	-inf	((* (* (* (/ -1 z) (* z z)) z) (/ 1 z)) (* (/ -1 z) (* z z)) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (/ -1 z) (* z z))
1.0ms	y	@	inf	((* (* (* (/ -1 z) (* z z)) z) (/ 1 z)) (* (/ -1 z) (* z z)) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (/ -1 z) (* z z))
1.0ms	z	@	-inf	((* (* (* (/ -1 z) (* z z)) z) (/ 1 z)) (* (/ -1 z) (* z z)) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (/ -1 z) (* z z))

simplify163.0ms (3.1%)

Memory

1.5MiB live, 197.7MiB allocated

Algorithm

1×	egg-herbie

Rules

11 948×	`lower-fma.f64`
11 948×	`lower-fma.f32`
6 006×	`lower-*.f64`
6 006×	`lower-*.f32`
2 962×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	1718
1	363	1542
2	1082	1484
3	3438	1432
0	8283	1350

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 188

Calls

Call 1

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

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

rewrite172.0ms (3.2%)

Memory

1.8MiB live, 184.8MiB allocated

Rules

5 896×	`lower-fma.f64`
5 896×	`lower-fma.f32`
4 358×	`lower-*.f32`
4 350×	`lower-*.f64`
3 174×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	104
0	27	110
1	86	56
2	549	56
3	7718	56
0	8156	52

Stop Event

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

Counts

8 → 192

Calls

Call 1

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

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

eval71.0ms (1.3%)

Memory: -15.2MiB live, 147.0MiB allocated
Compiler: Compiled 7 331 to 1 248 computations (83% saved)

prune52.0ms (1%)

Memory

16.1MiB live, 97.7MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	555	1	556
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	555	6	561

Accuracy

100.0%

Counts

561 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	80.2%	(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
✓	53.7%	(exp.f64 #s(approx (- (+ x (* y (log y))) z) (.f64 (/.f64 #s(literal -1 binary64) z) (.f64 z z))))
	53.7%	(exp.f64 #s(approx (- (+ x (* y (log y))) z) (.f64 (.f64 (.f64 (/.f64 #s(literal -1 binary64) z) (.f64 (.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z)) (.f64 z z))) z) (/.f64 #s(literal 1 binary64) z))))
✓	53.7%	(exp.f64 #s(approx (- (+ x (* y (log y))) z) (.f64 (.f64 (.f64 (/.f64 #s(literal -1 binary64) z) (.f64 z z)) z) (/.f64 #s(literal 1 binary64) z))))
✓	50.2%	(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)))
✓	53.8%	(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))

Compiler

Compiled 141 to 97 computations (31.2% saved)

regimes41.0ms (0.8%)

Memory

10.3MiB live, 47.8MiB allocated

Counts

8 → 1

Calls

Call 1

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

Outputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))

Calls

7 calls:

22.0ms	(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
3.0ms	(+.f64 x (*.f64 y (log.f64 y)))
3.0ms	(*.f64 y (log.f64 y))
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))`
100.0%	1	`(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)`
100.0%	1	`(+.f64 x (*.f64 y (log.f64 y)))`
100.0%	1	`(*.f64 y (log.f64 y))`

Compiler

Compiled 30 to 35 computations (-16.7% saved)

regimes23.0ms (0.4%)

Memory

11.6MiB live, 47.7MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

7 calls:

6.0ms	(+.f64 x (*.f64 y (log.f64 y)))
3.0ms	(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
3.0ms	(*.f64 y (log.f64 y))
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
80.2%	1	`x`
91.2%	2	`y`
85.6%	3	`z`
81.8%	2	`(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))`
83.7%	2	`(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)`
85.6%	2	`(+.f64 x (*.f64 y (log.f64 y)))`
91.2%	2	`(*.f64 y (log.f64 y))`

Compiler

Compiled 30 to 35 computations (-16.7% saved)

regimes31.0ms (0.6%)

Memory

-8.6MiB live, 34.1MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

6 calls:

17.0ms	(*.f64 y (log.f64 y))
3.0ms	(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
3.0ms	(+.f64 x (*.f64 y (log.f64 y)))
3.0ms	y
3.0ms	z

Results

Accuracy	Segments	Branch
80.2%	1	`(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))`
80.2%	1	`(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)`
80.2%	1	`z`
80.2%	1	`(+.f64 x (*.f64 y (log.f64 y)))`
80.2%	1	`y`
80.2%	1	`(*.f64 y (log.f64 y))`

Compiler

Compiled 29 to 32 computations (-10.3% saved)

regimes12.0ms (0.2%)

Memory

-4.8MiB live, 30.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

4.0ms	(+.f64 x (*.f64 y (log.f64 y)))
1.0ms	(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
1.0ms	(*.f64 y (log.f64 y))
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
53.8%	1	`x`
53.8%	1	`z`
53.8%	1	`y`
53.8%	1	`(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))`
53.8%	1	`(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)`
53.8%	1	`(+.f64 x (*.f64 y (log.f64 y)))`
53.8%	1	`(*.f64 y (log.f64 y))`

Compiler

Compiled 30 to 35 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.0778730471941024e+56	2.4431048319247924e+57

Compiler

Compiled 12 to 14 computations (-16.7% saved)

simplify28.0ms (0.5%)

Memory

7.9MiB live, 78.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative-binary64-+.f64`
6×	`sub-neg-binary64-neg.f64-+.f64--.f64`
4×	`-commutative-binary64-.f64`
2×	`neg-sub0-binary64--.f64-neg.f64`
2×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	68
1	32	68
2	36	68
3	37	68

Stop Event

1×

saturated

Calls

Call 1

Inputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(if (<=.f64 (.f64 y (log.f64 y)) #s(literal 400000000000000036761134032573512952336137838862738128896 binary64)) (exp.f64 #s(approx (- (+ x ( y (log y))) z) (-.f64 x z))) (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))

Outputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(exp.f64 (-.f64 (+.f64 (*.f64 (log.f64 y) y) x) z))
(if (<=.f64 (.f64 y (log.f64 y)) #s(literal 400000000000000036761134032573512952336137838862738128896 binary64)) (exp.f64 #s(approx (- (+ x ( y (log y))) z) (-.f64 x z))) (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))))
(if (<=.f64 (.f64 (log.f64 y) y) #s(literal 400000000000000036761134032573512952336137838862738128896 binary64)) (exp.f64 #s(approx (- (+ x ( y (log y))) z) (-.f64 x z))) (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))

soundness274.0ms (5.1%)

Memory

-11.8MiB live, 187.9MiB allocated

Rules

12 444×	`lower-fma.f64`
12 444×	`lower-fma.f32`
5 864×	`lower-*.f64`
5 864×	`lower-*.f32`
1 620×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	128	1007
1	407	910
2	1245	875
3	4149	843
0	8320	785

Stop Event

1×	fuel
1×	iter limit
1×	node limit

Compiler

Compiled 52 to 40 computations (23.1% saved)

preprocess40.0ms (0.7%)

Memory: 2.5MiB live, 116.0MiB allocated
Compiler: Compiled 108 to 70 computations (35.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	17	90
0	24	90
1	34	90
2	45	90
3	65	90
4	97	90
5	150	90
6	253	90
7	420	90
8	566	90
9	619	90
10	645	90
0	645	84

Iter	Nodes	Cost
0	17	90
0	24	90
1	34	90
2	45	90
3	65	90
4	97	90
5	150	90
6	253	90
7	420	90
8	566	90
9	619	90
10	645	90
0	645	84

start0.0ms (0%)

analyze1.0ms (0%)

sample1.1s (21.3%)

explain120.0ms (2.3%)

preprocess246.0ms (4.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify153.0ms (2.9%)

localize26.0ms (0.5%)

series114.0ms (2.1%)

simplify202.0ms (3.8%)

rewrite214.0ms (4%)

eval44.0ms (0.8%)

prune62.0ms (1.2%)

simplify78.0ms (1.5%)

localize235.0ms (4.4%)

series340.0ms (6.4%)

simplify354.0ms (6.7%)

rewrite193.0ms (3.6%)

eval92.0ms (1.7%)

prune21.0ms (0.4%)

simplify102.0ms (1.9%)

localize36.0ms (0.7%)

series20.0ms (0.4%)

simplify153.0ms (2.9%)

rewrite185.0ms (3.5%)

eval25.0ms (0.5%)

prune85.0ms (1.6%)

simplify95.0ms (1.8%)

localize59.0ms (1.1%)

series20.0ms (0.4%)

simplify163.0ms (3.1%)

rewrite172.0ms (3.2%)

eval71.0ms (1.3%)

prune52.0ms (1%)

regimes41.0ms (0.8%)

regimes23.0ms (0.4%)

regimes31.0ms (0.6%)

regimes12.0ms (0.2%)

bsearch0.0ms (0%)

simplify28.0ms (0.5%)

soundness274.0ms (5.1%)

preprocess40.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	17	90
0	24	90
1	34	90
2	45	90
3	65	90
4	97	90
5	150	90
6	253	90
7	420	90
8	566	90
9	619	90
10	645	90
0	645	84